%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG409-1 : 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 : n010.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 08:05:55 AM UTC 2026 % Result : Unsatisfiable 0.84s 1.07s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG409-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 02:10:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.07 % SZS status Unsatisfiable % 0.84/1.07 % SZS output start Proof % 0.84/1.09 ( % 0.84/1.09 (declare-sort $$unsorted 0) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.v_s____ $$unsorted) % 0.84/1.09 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_RealVector_Oreal__algebra (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.v_m____ $$unsorted) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.84/1.09 (declare-const tptp.v_a____ $$unsorted) % 0.84/1.09 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.v_w____ $$unsorted) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.v_k____ $$unsorted) % 0.84/1.09 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_HOL_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_HOL_Ozero (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Odivision__ring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_RealVector_OscaleR__class_OscaleR (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_RealVector_Oreal__div__algebra (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.tc_nat $$unsorted) % 0.84/1.09 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_RealVector_Oreal__vector (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.v_t____ $$unsorted) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Olordered__ring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.09 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Ocomm__ring (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Opordered__ring__abs (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 0.84/1.09 (declare-const tptp.c_Complex_Ocnj (-> $$unsorted $$unsorted)) % 0.84/1.09 (define @t1 () (@var "T_a" $$unsorted)) % 0.84/1.09 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.84/1.09 (define @t3 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 @t1)) % 0.84/1.09 (define @t4 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 @t1)) % 0.84/1.09 (define @t5 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.84/1.09 (define @t6 () (@list @t1)) % 0.84/1.09 (define @t7 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t8 () (= (tptp.c_RealVector_Oof__real @t7 @t1) @t2)) % 0.84/1.09 (define @t9 () (not (tptp.class_RealVector_Oreal__algebra__1 @t1))) % 0.84/1.09 (define @t10 () (not (tptp.class_RealVector_Oreal__normed__vector @t1))) % 0.84/1.09 (define @t11 () (@var "V_a" $$unsorted)) % 0.84/1.09 (define @t12 () (tptp.c_lessequals @t11 @t2 @t1)) % 0.84/1.09 (define @t13 () (not @t12)) % 0.84/1.09 (define @t14 () (@var "V_b" $$unsorted)) % 0.84/1.09 (define @t15 () (not (tptp.c_HOL_Oord__class_Oless @t14 @t2 @t1))) % 0.84/1.09 (define @t16 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t14 @t1)) % 0.84/1.09 (define @t17 () (tptp.c_HOL_Oord__class_Oless @t16 @t2 @t1)) % 0.84/1.09 (define @t18 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.84/1.09 (define @t19 () (@list @t1 @t11 @t14)) % 0.84/1.09 (define @t20 () (tptp.c_HOL_Oord__class_Oless @t11 @t2 @t1)) % 0.84/1.09 (define @t21 () (not @t20)) % 0.84/1.09 (define @t22 () (tptp.c_lessequals @t14 @t2 @t1)) % 0.84/1.09 (define @t23 () (not @t22)) % 0.84/1.09 (define @t24 () (= @t11 @t7)) % 0.84/1.09 (define @t25 () (@var "V_x" $$unsorted)) % 0.84/1.09 (define @t26 () (= @t25 @t2)) % 0.84/1.09 (define @t27 () (tptp.c_HOL_Oinverse__class_Oinverse @t25 @t1)) % 0.84/1.09 (define @t28 () (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t25 @t1)) % 0.84/1.09 (define @t29 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t28 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oinverse__class_Oinverse @t11 tptp.tc_RealDef_Oreal) @t27 @t1))) % 0.84/1.09 (define @t30 () (not (tptp.class_RealVector_Oreal__div__algebra @t1))) % 0.84/1.09 (define @t31 () (@list @t1 @t11 @t25)) % 0.84/1.09 (define @t32 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t1))) % 0.84/1.09 (define @t33 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.84/1.09 (define @t34 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.84/1.09 (define @t35 () (tptp.c_HOL_Oabs__class_Oabs @t11 @t1)) % 0.84/1.09 (define @t36 () (tptp.c_HOL_Oord__class_Oless @t35 @t14 @t1)) % 0.84/1.09 (define @t37 () (not @t36)) % 0.84/1.09 (define @t38 () (tptp.c_HOL_Ouminus__class_Ouminus @t11 @t1)) % 0.84/1.09 (define @t39 () (tptp.c_HOL_Oord__class_Oless @t38 @t14 @t1)) % 0.84/1.09 (define @t40 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.84/1.09 (define @t41 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t25 tptp.tc_RealDef_Oreal))) % 0.84/1.09 (define @t42 () (@var "V_y" $$unsorted)) % 0.84/1.09 (define @t43 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t42 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t44 () (@list @t25 @t42)) % 0.84/1.09 (define @t45 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t11 @t1)) % 0.84/1.09 (define @t46 () (tptp.c_HOL_Oord__class_Oless @t45 @t2 @t1)) % 0.84/1.09 (define @t47 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.84/1.09 (define @t48 () (@list @t1 @t11)) % 0.84/1.09 (define @t49 () (not @t46)) % 0.84/1.09 (define @t50 () (= @t42 @t2)) % 0.84/1.09 (define @t51 () (not (tptp.c_lessequals @t2 @t25 @t1))) % 0.84/1.09 (define @t52 () (not (tptp.c_lessequals @t2 @t42 @t1))) % 0.84/1.09 (define @t53 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t42 @t1)) % 0.84/1.09 (define @t54 () (not (= @t53 @t2))) % 0.84/1.09 (define @t55 () (@list @t1 @t25 @t42)) % 0.84/1.09 (define @t56 () (= @t11 @t2)) % 0.84/1.09 (define @t57 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t25 @t1)) % 0.84/1.09 (define @t58 () (= @t57 @t2)) % 0.84/1.09 (define @t59 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.84/1.09 (define @t60 () (@list @t1 @t25)) % 0.84/1.09 (define @t61 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.84/1.09 (define @t62 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.84/1.09 (define @t63 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.84/1.09 (define @t64 () (= @t35 @t38)) % 0.84/1.09 (define @t65 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t1))) % 0.84/1.09 (define @t66 () (not (tptp.class_Ring__and__Field_Oabs__if @t1))) % 0.84/1.09 (define @t67 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t1))) % 0.84/1.09 (define @t68 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.84/1.09 (define @t69 () (tptp.c_lessequals @t25 @t2 @t1)) % 0.84/1.09 (define @t70 () (not @t69)) % 0.84/1.09 (define @t71 () (tptp.c_lessequals @t27 @t33 @t1)) % 0.84/1.09 (define @t72 () (not (tptp.class_Ring__and__Field_Oordered__field @t1))) % 0.84/1.09 (define @t73 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t25 @t1)) % 0.84/1.09 (define @t74 () (tptp.c_HOL_Oplus__class_Oplus @t73 (tptp.c_HOL_Otimes__class_Otimes @t42 @t42 @t1) @t1)) % 0.84/1.09 (define @t75 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t25 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t76 () (tptp.c_HOL_Oplus__class_Oplus @t75 (tptp.c_HOL_Otimes__class_Otimes @t42 @t42 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t77 () (@var "V_d" $$unsorted)) % 0.84/1.09 (define @t78 () (@var "V_e" $$unsorted)) % 0.84/1.09 (define @t79 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t11 @t1)) % 0.84/1.09 (define @t80 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t79 @t78 @t1) @t77 @t1)) % 0.84/1.09 (define @t81 () (@var "V_c" $$unsorted)) % 0.84/1.09 (define @t82 () (tptp.c_lessequals @t81 @t80 @t1)) % 0.84/1.09 (define @t83 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t78 @t1)) % 0.84/1.09 (define @t84 () (tptp.c_HOL_Oplus__class_Oplus @t83 @t77 @t1)) % 0.84/1.09 (define @t85 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t78 @t1)) % 0.84/1.09 (define @t86 () (tptp.c_HOL_Oplus__class_Oplus @t85 @t81 @t1)) % 0.84/1.09 (define @t87 () (tptp.c_lessequals @t86 @t84 @t1)) % 0.84/1.09 (define @t88 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.84/1.09 (define @t89 () (@list @t1 @t11 @t78 @t81 @t14 @t77)) % 0.84/1.09 (define @t90 () (not @t87)) % 0.84/1.09 (define @t91 () (@list @t1 @t81 @t14 @t11 @t78 @t77)) % 0.84/1.09 (define @t92 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t14 @t1)) % 0.84/1.09 (define @t93 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t92 @t78 @t1) @t81 @t1)) % 0.84/1.09 (define @t94 () (tptp.c_lessequals @t93 @t77 @t1)) % 0.84/1.09 (define @t95 () (@list @t1 @t11 @t14 @t78 @t81 @t77)) % 0.84/1.09 (define @t96 () (not (tptp.c_lessequals @t2 @t81 @t1))) % 0.84/1.09 (define @t97 () (tptp.c_lessequals @t14 @t11 @t1)) % 0.84/1.09 (define @t98 () (not @t97)) % 0.84/1.09 (define @t99 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t81 @t1)) % 0.84/1.09 (define @t100 () (tptp.c_lessequals @t14 @t99 @t1)) % 0.84/1.09 (define @t101 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.84/1.09 (define @t102 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.84/1.09 (define @t103 () (@list @t1 @t14 @t11 @t81)) % 0.84/1.09 (define @t104 () (tptp.c_lessequals @t2 @t11 @t1)) % 0.84/1.09 (define @t105 () (not @t104)) % 0.84/1.09 (define @t106 () (not (tptp.c_lessequals @t14 @t81 @t1))) % 0.84/1.09 (define @t107 () (tptp.c_HOL_Ouminus__class_Ouminus @t25 @t1)) % 0.84/1.09 (define @t108 () (not (tptp.class_RealVector_Oreal__vector @t1))) % 0.84/1.09 (define @t109 () (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t14 @t1)) % 0.84/1.09 (define @t110 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t1)) % 0.84/1.09 (define @t111 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t1)) % 0.84/1.09 (define @t112 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 0.84/1.09 (define @t113 () (tptp.c_RealVector_Onorm__class_Onorm @t2 @t1)) % 0.84/1.09 (define @t114 () (tptp.c_lessequals @t110 @t38 @t1)) % 0.84/1.09 (define @t115 () (tptp.c_lessequals @t11 @t14 @t1)) % 0.84/1.09 (define @t116 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.84/1.09 (define @t117 () (not @t115)) % 0.84/1.09 (define @t118 () (@list @t1 @t14 @t11)) % 0.84/1.09 (define @t119 () (tptp.c_HOL_Oabs__class_Oabs @t14 @t1)) % 0.84/1.09 (define @t120 () (tptp.c_HOL_Otimes__class_Otimes @t35 @t119 @t1)) % 0.84/1.09 (define @t121 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t14 @t1)) % 0.84/1.09 (define @t122 () (tptp.c_HOL_Oabs__class_Oabs @t121 @t1)) % 0.84/1.09 (define @t123 () (@var "V_n" $$unsorted)) % 0.84/1.09 (define @t124 () (tptp.c_Suc @t123)) % 0.84/1.09 (define @t125 () (not (tptp.class_Power_Opower @t1))) % 0.84/1.09 (define @t126 () (@list @t1 @t123)) % 0.84/1.09 (define @t127 () (tptp.c_lessequals @t35 @t14 @t1)) % 0.84/1.09 (define @t128 () (not @t127)) % 0.84/1.09 (define @t129 () (@var "V_r" $$unsorted)) % 0.84/1.09 (define @t130 () (tptp.c_HOL_Oabs__class_Oabs @t25 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t131 () (@var "V_z" $$unsorted)) % 0.84/1.09 (define @t132 () (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t133 () (@list @t131)) % 0.84/1.09 (define @t134 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.84/1.09 (define @t135 () (@list @t123)) % 0.84/1.09 (define @t136 () (tptp.c_HOL_Oord__class_Oless @t2 @t11 @t1)) % 0.84/1.09 (define @t137 () (not @t136)) % 0.84/1.09 (define @t138 () (tptp.c_HOL_Oord__class_Oless @t38 @t2 @t1)) % 0.84/1.09 (define @t139 () (tptp.c_HOL_Oabs__class_Oabs @t92 @t1)) % 0.84/1.09 (define @t140 () (tptp.c_HOL_Ominus__class_Ominus @t35 @t119 @t1)) % 0.84/1.09 (define @t141 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t1)) % 0.84/1.09 (define @t142 () (tptp.c_HOL_Oinverse__class_Oinverse @t11 @t1)) % 0.84/1.09 (define @t143 () (= (tptp.c_RealVector_Onorm__class_Onorm @t142 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t141 tptp.tc_RealDef_Oreal))) % 0.84/1.09 (define @t144 () (not (tptp.class_RealVector_Oreal__normed__div__algebra @t1))) % 0.84/1.09 (define @t145 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t142 @t1) @t11)) % 0.84/1.09 (define @t146 () (not (tptp.class_Ring__and__Field_Odivision__ring @t1))) % 0.84/1.09 (define @t147 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t2 @t1) @t2)) % 0.84/1.09 (define @t148 () (not (tptp.c_lessequals @t2 @t2 @t1))) % 0.84/1.09 (define @t149 () (@var "V_w" $$unsorted)) % 0.84/1.09 (define @t150 () (@list @t131 @t149)) % 0.84/1.09 (define @t151 () (tptp.c_HOL_Oabs__class_Oabs @t2 @t1)) % 0.84/1.09 (define @t152 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t81 @t1)) % 0.84/1.09 (define @t153 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t152 @t1)) % 0.84/1.09 (define @t154 () (@list @t1 @t11 @t14 @t81)) % 0.84/1.09 (define @t155 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t81 @t1)) % 0.84/1.09 (define @t156 () (= @t155 @t153)) % 0.84/1.09 (define @t157 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t131 @t1)) % 0.84/1.09 (define @t158 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t157 @t1)) % 0.84/1.09 (define @t159 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.84/1.09 (define @t160 () (@list @t1 @t25 @t42 @t131)) % 0.84/1.09 (define @t161 () (@var "V_k" $$unsorted)) % 0.84/1.09 (define @t162 () (tptp.c_HOL_Oplus__class_Oplus @t123 @t161 tptp.tc_nat)) % 0.84/1.09 (define @t163 () (@var "V_m" $$unsorted)) % 0.84/1.09 (define @t164 () (tptp.c_HOL_Oplus__class_Oplus @t163 @t123 tptp.tc_nat)) % 0.84/1.09 (define @t165 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t131 tptp.tc_nat)) % 0.84/1.09 (define @t166 () (@list @t25 @t42 @t131)) % 0.84/1.09 (define @t167 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t131 @t1)) % 0.84/1.09 (define @t168 () (tptp.c_HOL_Oplus__class_Oplus @t81 @t77 @t1)) % 0.84/1.09 (define @t169 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t168 @t1)) % 0.84/1.09 (define @t170 () (@list @t1 @t11 @t81 @t77)) % 0.84/1.09 (define @t171 () (tptp.c_HOL_Oplus__class_Oplus @t35 @t119 @t1)) % 0.84/1.09 (define @t172 () (tptp.c_RealVector_Onorm__class_Onorm @t92 @t1)) % 0.84/1.09 (define @t173 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t1)) % 0.84/1.09 (define @t174 () (tptp.c_HOL_Ominus__class_Ominus @t141 @t173 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t175 () (not (tptp.c_HOL_Oord__class_Oless @t14 @t81 @t1))) % 0.84/1.09 (define @t176 () (tptp.c_HOL_Oord__class_Oless @t14 @t99 @t1)) % 0.84/1.09 (define @t177 () (tptp.c_Power_Opower__class_Opower @t14 @t123 @t1)) % 0.84/1.09 (define @t178 () (tptp.c_Power_Opower__class_Opower @t11 @t123 @t1)) % 0.84/1.09 (define @t179 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.84/1.09 (define @t180 () (@list @t1 @t11 @t123 @t14)) % 0.84/1.09 (define @t181 () (@var "V_y_H" $$unsorted)) % 0.84/1.09 (define @t182 () (@var "V_x_H" $$unsorted)) % 0.84/1.09 (define @t183 () (tptp.c_HOL_Ominus__class_Ominus @t182 @t181 @t1)) % 0.84/1.09 (define @t184 () (@var "V_xa" $$unsorted)) % 0.84/1.09 (define @t185 () (tptp.c_lessequals @t33 @t25 @t1)) % 0.84/1.09 (define @t186 () (tptp.c_Power_Opower__class_Opower @t25 @t123 @t1)) % 0.84/1.09 (define @t187 () (@list @t1 @t25 @t123)) % 0.84/1.09 (define @t188 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t131 tptp.tc_RealDef_Oreal))) % 0.84/1.09 (define @t189 () (tptp.c_lessequals @t25 @t42 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t190 () (not @t189)) % 0.84/1.09 (define @t191 () (tptp.c_HOL_Otimes__class_Otimes @t131 @t42 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t192 () (tptp.c_HOL_Otimes__class_Otimes @t131 @t25 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t193 () (tptp.c_lessequals @t192 @t191 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t194 () (@list @t131 @t25 @t42)) % 0.84/1.09 (define @t195 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t131 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t196 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t131 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t197 () (tptp.c_lessequals @t196 @t195 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t198 () (@list @t25 @t131 @t42)) % 0.84/1.09 (define @t199 () (tptp.c_HOL_Ominus__class_Ominus @t42 @t14 @t1)) % 0.84/1.09 (define @t200 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t11 @t1)) % 0.84/1.09 (define @t201 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t42 @t1)) % 0.84/1.09 (define @t202 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 0.84/1.09 (define @t203 () (@list @t1 @t25 @t42 @t11 @t14)) % 0.84/1.09 (define @t204 () (tptp.c_RealVector_OscaleR__class_OscaleR @t14 @t25 @t1)) % 0.84/1.09 (define @t205 () (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t204 @t1)) % 0.84/1.09 (define @t206 () (@list @t1 @t11 @t14 @t25)) % 0.84/1.09 (define @t207 () (tptp.c_lessequals @t33 @t27 @t1)) % 0.84/1.09 (define @t208 () (not @t207)) % 0.84/1.09 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t2 @t25 @t1)) % 0.84/1.09 (define @t210 () (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t2 @t1)) % 0.84/1.09 (define @t211 () (= @t210 @t2)) % 0.84/1.09 (define @t212 () (@list @t1 @t14)) % 0.84/1.09 (define @t213 () (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t25 @t1)) % 0.84/1.09 (define @t214 () (= (tptp.c_HOL_Oplus__class_Oplus @t38 @t11 @t1) @t2)) % 0.84/1.09 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t27 @t33 @t1)) % 0.84/1.09 (define @t216 () (@list @t1 @t11 @t81 @t14)) % 0.84/1.09 (define @t217 () (= @t11 @t14)) % 0.84/1.09 (define @t218 () (= @t25 @t42)) % 0.84/1.09 (define @t219 () (tptp.c_HOL_Ouminus__class_Ouminus @t42 @t1)) % 0.84/1.09 (define @t220 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.84/1.09 (define @t221 () (tptp.c_lessequals @t131 @t149 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t222 () (tptp.c_lessequals @t149 @t131 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t223 () (tptp.c_lessequals @t25 @t42 @t1)) % 0.84/1.09 (define @t224 () (not @t223)) % 0.84/1.09 (define @t225 () (tptp.c_lessequals @t42 @t25 @t1)) % 0.84/1.09 (define @t226 () (not @t225)) % 0.84/1.09 (define @t227 () (not (tptp.class_Orderings_Oorder @t1))) % 0.84/1.09 (define @t228 () (= @t35 @t11)) % 0.84/1.09 (define @t229 () (@var "V_a_H" $$unsorted)) % 0.84/1.09 (define @t230 () (tptp.c_RealVector_OscaleR__class_OscaleR @t229 @t14 @t1)) % 0.84/1.09 (define @t231 () (@list @t1 @t11 @t229 @t14)) % 0.84/1.09 (define @t232 () (tptp.c_RealVector_OscaleR__class_OscaleR @t42 @t184 @t1)) % 0.84/1.09 (define @t233 () (tptp.c_RealVector_OscaleR__class_OscaleR @t25 @t184 @t1)) % 0.84/1.09 (define @t234 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t42 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t235 () (@list @t1 @t25 @t42 @t184)) % 0.84/1.09 (define @t236 () (@var "V_b_H" $$unsorted)) % 0.84/1.09 (define @t237 () (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t236 @t1)) % 0.84/1.09 (define @t238 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t236 @t1)) % 0.84/1.09 (define @t239 () (@list @t1 @t11 @t14 @t236)) % 0.84/1.09 (define @t240 () (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t42 @t1)) % 0.84/1.09 (define @t241 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t42 @t1)) % 0.84/1.09 (define @t242 () (@list @t1 @t11 @t25 @t42)) % 0.84/1.09 (define @t243 () (tptp.c_HOL_Oplus__class_Oplus @t81 @t14 @t1)) % 0.84/1.09 (define @t244 () (tptp.c_HOL_Oplus__class_Oplus @t81 @t11 @t1)) % 0.84/1.09 (define @t245 () (tptp.c_lessequals @t244 @t243 @t1)) % 0.84/1.09 (define @t246 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.84/1.09 (define @t247 () (@list @t1 @t81 @t11 @t14)) % 0.84/1.09 (define @t248 () (tptp.c_lessequals @t99 @t152 @t1)) % 0.84/1.09 (define @t249 () (tptp.c_lessequals @t2 @t14 @t1)) % 0.84/1.09 (define @t250 () (not @t249)) % 0.84/1.09 (define @t251 () (= @t122 @t120)) % 0.84/1.09 (define @t252 () (not (tptp.class_Ring__and__Field_Opordered__ring__abs @t1))) % 0.84/1.09 (define @t253 () (tptp.c_lessequals @t11 @t110 @t1)) % 0.84/1.09 (define @t254 () (not @t253)) % 0.84/1.09 (define @t255 () (tptp.c_lessequals @t16 @t2 @t1)) % 0.84/1.09 (define @t256 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t33 @t1)) % 0.84/1.09 (define @t257 () (tptp.c_HOL_Oord__class_Oless @t33 @t27 @t1)) % 0.84/1.09 (define @t258 () (not @t257)) % 0.84/1.09 (define @t259 () (tptp.c_lessequals @t38 @t2 @t1)) % 0.84/1.09 (define @t260 () (@list @t25)) % 0.84/1.09 (define @t261 () (tptp.c_HOL_Oord__class_Oless @t11 @t14 @t1)) % 0.84/1.09 (define @t262 () (not @t261)) % 0.84/1.09 (define @t263 () (not @t39)) % 0.84/1.09 (define @t264 () (tptp.c_lessequals @t121 @t2 @t1)) % 0.84/1.09 (define @t265 () (not @t264)) % 0.84/1.09 (define @t266 () (tptp.c_lessequals @t38 @t14 @t1)) % 0.84/1.09 (define @t267 () (tptp.c_RealVector_Oof__real @t25 @t1)) % 0.84/1.09 (define @t268 () (tptp.c_HOL_Oinverse__class_Oinverse @t25 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t269 () (= (tptp.c_RealVector_Oof__real @t268 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t267 @t1))) % 0.84/1.09 (define @t270 () (tptp.c_Complex_Ocnj @t42)) % 0.84/1.09 (define @t271 () (tptp.c_Complex_Ocnj @t25)) % 0.84/1.09 (define @t272 () (tptp.c_HOL_Oord__class_Oless @t142 @t2 @t1)) % 0.84/1.09 (define @t273 () (not @t272)) % 0.84/1.09 (define @t274 () (not (tptp.c_lessequals @t7 @t25 tptp.tc_RealDef_Oreal))) % 0.84/1.09 (define @t275 () (@var "V_t" $$unsorted)) % 0.84/1.09 (define @t276 () (tptp.c_HOL_Otimes__class_Otimes @t81 @t14 @t1)) % 0.84/1.09 (define @t277 () (tptp.c_HOL_Otimes__class_Otimes @t81 @t11 @t1)) % 0.84/1.09 (define @t278 () (tptp.c_lessequals @t277 @t276 @t1)) % 0.84/1.09 (define @t279 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 0.84/1.09 (define @t280 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t81 @t1)) % 0.84/1.09 (define @t281 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t81 @t1)) % 0.84/1.09 (define @t282 () (tptp.c_lessequals @t281 @t280 @t1)) % 0.84/1.09 (define @t283 () (not (tptp.c_lessequals @t81 @t2 @t1))) % 0.84/1.09 (define @t284 () (= @t81 @t77)) % 0.84/1.09 (define @t285 () (= @t25 @t7)) % 0.84/1.09 (define @t286 () (not (= @t76 @t7))) % 0.84/1.09 (define @t287 () (= @t42 @t7)) % 0.84/1.09 (define @t288 () (not (= @t74 @t2))) % 0.84/1.09 (define @t289 () (tptp.c_HOL_Oinverse__class_Oinverse @t14 @t1)) % 0.84/1.09 (define @t290 () (not (= @t142 @t289))) % 0.84/1.09 (define @t291 () (= @t14 @t2)) % 0.84/1.09 (define @t292 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t2 @t1) @t2)) % 0.84/1.09 (define @t293 () (tptp.c_lessequals @t181 @t182 @t1)) % 0.84/1.09 (define @t294 () (not (= @t241 @t183))) % 0.84/1.09 (define @t295 () (@list @t1 @t25 @t42 @t182 @t181)) % 0.84/1.09 (define @t296 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t38 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t142 @t1))) % 0.84/1.09 (define @t297 () (tptp.c_lessequals @t2 @t121 @t1)) % 0.84/1.09 (define @t298 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t11 @t1)) % 0.84/1.09 (define @t299 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 0.84/1.09 (define @t300 () (tptp.c_HOL_Ouminus__class_Ouminus @t33 @t1)) % 0.84/1.09 (define @t301 () (tptp.c_RealVector_Oof__real @t129 @t1)) % 0.84/1.09 (define @t302 () (@list @t1 @t129)) % 0.84/1.09 (define @t303 () (@var "V_z3" $$unsorted)) % 0.84/1.09 (define @t304 () (@var "V_z2" $$unsorted)) % 0.84/1.09 (define @t305 () (@var "V_z1" $$unsorted)) % 0.84/1.09 (define @t306 () (tptp.c_HOL_Oord__class_Oless @t2 @t45 @t1)) % 0.84/1.09 (define @t307 () (not @t209)) % 0.84/1.09 (define @t308 () (tptp.c_lessequals @t25 @t33 @t1)) % 0.84/1.09 (define @t309 () (not @t297)) % 0.84/1.09 (define @t310 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t1))) % 0.84/1.09 (define @t311 () (tptp.c_HOL_Oplus__class_Oplus @t33 @t33 @t1)) % 0.84/1.09 (define @t312 () (= (tptp.c_HOL_Otimes__class_Otimes @t142 @t11 @t1) @t33)) % 0.84/1.09 (define @t313 () (not (tptp.class_Ring__and__Field_Ofield @t1))) % 0.84/1.09 (define @t314 () (not (tptp.c_lessequals @t81 @t77 @t1))) % 0.84/1.09 (define @t315 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t77 @t1)) % 0.84/1.09 (define @t316 () (tptp.c_lessequals @t281 @t315 @t1)) % 0.84/1.09 (define @t317 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 0.84/1.09 (define @t318 () (@list @t1 @t11 @t81 @t14 @t77)) % 0.84/1.09 (define @t319 () (tptp.c_Power_Opower__class_Opower @t14 @t124 @t1)) % 0.84/1.09 (define @t320 () (tptp.c_Power_Opower__class_Opower @t11 @t124 @t1)) % 0.84/1.09 (define @t321 () (not (= @t92 @t2))) % 0.84/1.09 (define @t322 () (not (tptp.c_lessequals @t74 @t2 @t1))) % 0.84/1.09 (define @t323 () (@list @t1 @t42 @t25)) % 0.84/1.09 (define @t324 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t77 @t1)) % 0.84/1.09 (define @t325 () (tptp.c_lessequals @t142 @t2 @t1)) % 0.84/1.09 (define @t326 () (tptp.c_HOL_Oord__class_Oless @t33 @t25 @t1)) % 0.84/1.09 (define @t327 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs @t200 @t1) @t129 @t1)) % 0.84/1.09 (define @t328 () (not @t327)) % 0.84/1.09 (define @t329 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t11 @t129 @t1) @t25 @t1)) % 0.84/1.09 (define @t330 () (= (tptp.c_HOL_Oabs__class_Oabs @t142 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t35 @t1))) % 0.84/1.09 (define @t331 () (tptp.c_HOL_Oord__class_Oless @t2 @t142 @t1)) % 0.84/1.09 (define @t332 () (not @t331)) % 0.84/1.09 (define @t333 () (tptp.c_HOL_Oord__class_Oless @t7 @t76 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t334 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t236 @t1)) % 0.84/1.09 (define @t335 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t42 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t336 () (tptp.c_HOL_Ouminus__class_Ouminus @t131 @t1)) % 0.84/1.09 (define @t337 () (tptp.tc_Polynomial_Opoly @t1)) % 0.84/1.09 (define @t338 () (@var "V_q" $$unsorted)) % 0.84/1.09 (define @t339 () (@var "V_p" $$unsorted)) % 0.84/1.09 (define @t340 () (tptp.c_HOL_Otimes__class_Otimes @t339 @t338 @t337)) % 0.84/1.09 (define @t341 () (tptp.c_Polynomial_Osmult @t11 @t340 @t1)) % 0.84/1.09 (define @t342 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t1))) % 0.84/1.09 (define @t343 () (tptp.c_Polynomial_Osmult @t11 @t339 @t1)) % 0.84/1.09 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t25 @t42 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t345 () (not @t344)) % 0.84/1.09 (define @t346 () (tptp.c_HOL_Oord__class_Oless @t196 @t195 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t347 () (= (tptp.c_HOL_Oplus__class_Oplus @t11 @t2 @t1) @t11)) % 0.84/1.09 (define @t348 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.84/1.09 (define @t349 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t11 @t1) @t11)) % 0.84/1.09 (define @t350 () (tptp.c_HOL_Oord__class_Oless @t25 (tptp.c_HOL_Oplus__class_Oplus @t11 @t129 @t1) @t1)) % 0.84/1.09 (define @t351 () (@list @t1 @t25 @t11 @t129)) % 0.84/1.09 (define @t352 () (tptp.c_HOL_Ouminus__class_Ouminus @t110 @t1)) % 0.84/1.09 (define @t353 () (tptp.c_HOL_Ouminus__class_Ouminus @t38 @t1)) % 0.84/1.09 (define @t354 () (tptp.c_HOL_Ouminus__class_Ouminus @t92 @t1)) % 0.84/1.09 (define @t355 () (tptp.c_HOL_Oord__class_Oless @t99 @t324 @t1)) % 0.84/1.09 (define @t356 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.84/1.09 (define @t357 () (not (tptp.c_HOL_Oord__class_Oless @t81 @t77 @t1))) % 0.84/1.09 (define @t358 () (tptp.c_lessequals @t110 @t11 @t1)) % 0.84/1.09 (define @t359 () (not @t266)) % 0.84/1.09 (define @t360 () (tptp.c_lessequals @t14 @t38 @t1)) % 0.84/1.09 (define @t361 () (tptp.c_HOL_Oord__class_Oless @t42 @t25 @t1)) % 0.84/1.09 (define @t362 () (not @t361)) % 0.84/1.09 (define @t363 () (not (tptp.c_lessequals @t131 @t42 @t1))) % 0.84/1.09 (define @t364 () (tptp.c_HOL_Oord__class_Oless @t131 @t25 @t1)) % 0.84/1.09 (define @t365 () (@list @t1 @t131 @t25 @t42)) % 0.84/1.09 (define @t366 () (not (tptp.c_HOL_Oord__class_Oless @t131 @t42 @t1))) % 0.84/1.09 (define @t367 () (tptp.c_HOL_Oord__class_Oless @t25 @t42 @t1)) % 0.84/1.09 (define @t368 () (not @t367)) % 0.84/1.09 (define @t369 () (not (tptp.c_lessequals @t42 @t131 @t1))) % 0.84/1.09 (define @t370 () (tptp.c_HOL_Oord__class_Oless @t25 @t131 @t1)) % 0.84/1.09 (define @t371 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.84/1.09 (define @t372 () (@list @t1 @t25 @t131 @t42)) % 0.84/1.09 (define @t373 () (not (tptp.c_HOL_Oord__class_Oless @t42 @t131 @t1))) % 0.84/1.09 (define @t374 () (tptp.c_HOL_Oord__class_Oless @t99 @t152 @t1)) % 0.84/1.09 (define @t375 () (tptp.c_HOL_Oord__class_Oless @t244 @t243 @t1)) % 0.84/1.09 (define @t376 () (tptp.c_HOL_Oord__class_Oless @t14 @t11 @t1)) % 0.84/1.09 (define @t377 () (tptp.c_HOL_Oord__class_Oless @t182 @t181 @t1)) % 0.84/1.09 (define @t378 () (tptp.c_HOL_Oord__class_Oless @t110 @t38 @t1)) % 0.84/1.09 (define @t379 () (tptp.c_HOL_Oord__class_Oless @t25 @t25 @t1)) % 0.84/1.09 (define @t380 () (not @t379)) % 0.84/1.09 (define @t381 () (tptp.c_lessequals @t25 @t25 @t1)) % 0.84/1.09 (define @t382 () (tptp.c_HOL_Oord__class_Oless @t110 @t11 @t1)) % 0.84/1.09 (define @t383 () (tptp.c_HOL_Oord__class_Oless @t14 @t38 @t1)) % 0.84/1.09 (define @t384 () (tptp.c_HOL_Oord__class_Oless @t11 @t110 @t1)) % 0.84/1.09 (define @t385 () (tptp.c_HOL_Oord__class_Oless @t2 @t81 @t1)) % 0.84/1.09 (define @t386 () (not @t385)) % 0.84/1.09 (define @t387 () (tptp.c_HOL_Oord__class_Oless @t281 @t315 @t1)) % 0.84/1.09 (define @t388 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.84/1.09 (define @t389 () (tptp.c_HOL_Oord__class_Oless @t81 @t80 @t1)) % 0.84/1.09 (define @t390 () (tptp.c_HOL_Oord__class_Oless @t86 @t84 @t1)) % 0.84/1.09 (define @t391 () (tptp.c_Polynomial_Omonom @t14 @t123 @t1)) % 0.84/1.09 (define @t392 () (@list @t1 @t11 @t14 @t123)) % 0.84/1.09 (define @t393 () (tptp.c_HOL_Oord__class_Oless @t25 @t33 @t1)) % 0.84/1.09 (define @t394 () (tptp.c_HOL_Oplus__class_Oplus @t142 @t289 @t1)) % 0.84/1.09 (define @t395 () (@list @t1 @t11 @t14 @t81 @t77)) % 0.84/1.09 (define @t396 () (tptp.c_HOL_Ominus__class_Ominus @t142 @t289 @t1)) % 0.84/1.09 (define @t397 () (= @t241 (tptp.c_HOL_Oplus__class_Oplus @t25 @t219 @t1))) % 0.84/1.09 (define @t398 () (= @t92 (tptp.c_HOL_Oplus__class_Oplus @t11 @t110 @t1))) % 0.84/1.09 (define @t399 () (not (tptp.c_lessequals @t42 @t33 @t1))) % 0.84/1.09 (define @t400 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t25 @t1)) % 0.84/1.09 (define @t401 () (= @t163 @t123)) % 0.84/1.09 (define @t402 () (= @t42 @t131)) % 0.84/1.09 (define @t403 () (= @t14 @t81)) % 0.84/1.09 (define @t404 () (not (= @t16 @t99))) % 0.84/1.09 (define @t405 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.84/1.09 (define @t406 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t11 @t1)) % 0.84/1.09 (define @t407 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t11 @t1)) % 0.84/1.09 (define @t408 () (tptp.c_HOL_Oinverse__class_Oinverse @t121 @t1)) % 0.84/1.09 (define @t409 () (tptp.c_HOL_Oord__class_Oless @t2 @t14 @t1)) % 0.84/1.09 (define @t410 () (not @t409)) % 0.84/1.09 (define @t411 () (tptp.c_HOL_Oord__class_Oless @t2 @t16 @t1)) % 0.84/1.09 (define @t412 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t11 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t413 () (not (tptp.class_RealVector_Oreal__normed__algebra__1 @t1))) % 0.84/1.09 (define @t414 () (tptp.c_HOL_Oplus__class_Oplus @t163 @t124 tptp.tc_nat)) % 0.84/1.09 (define @t415 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Suc @t163) @t123 tptp.tc_nat)) % 0.84/1.09 (define @t416 () (@list @t163 @t123)) % 0.84/1.09 (define @t417 () (tptp.c_lessequals @t2 @t38 @t1)) % 0.84/1.09 (define @t418 () (@var "V_u" $$unsorted)) % 0.84/1.09 (define @t419 () (not (tptp.c_HOL_Oord__class_Oless @t11 @t33 @t1))) % 0.84/1.09 (define @t420 () (@list @t1 @t11 @t123)) % 0.84/1.09 (define @t421 () (not (tptp.c_HOL_Oord__class_Oless @t142 @t289 @t1))) % 0.84/1.09 (define @t422 () (tptp.c_HOL_Oord__class_Oless @t289 @t142 @t1)) % 0.84/1.09 (define @t423 () (tptp.c_Power_Opower__class_Opower @t35 @t123 @t1)) % 0.84/1.09 (define @t424 () (not (tptp.c_lessequals @t81 @t7 tptp.tc_RealDef_Oreal))) % 0.84/1.09 (define @t425 () (tptp.c_lessequals @t2 @t142 @t1)) % 0.84/1.09 (define @t426 () (tptp.c_lessequals @t2 @t45 @t1)) % 0.84/1.09 (define @t427 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t77 @t1)) % 0.84/1.09 (define @t428 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t81 @t1)) % 0.84/1.09 (define @t429 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t168 @t1)) % 0.84/1.09 (define @t430 () (tptp.c_lessequals @t2 @t178 @t1)) % 0.84/1.09 (define @t431 () (tptp.c_lessequals @t11 @t38 @t1)) % 0.84/1.09 (define @t432 () (not @t431)) % 0.84/1.09 (define @t433 () (tptp.c_lessequals @t38 @t11 @t1)) % 0.84/1.09 (define @t434 () (not @t433)) % 0.84/1.09 (define @t435 () (tptp.c_Suc @t164)) % 0.84/1.09 (define @t436 () (not (= @t86 @t84))) % 0.84/1.09 (define @t437 () (tptp.c_Complex_Ocnj @t131)) % 0.84/1.09 (define @t438 () (tptp.c_RealVector_OscaleR__class_OscaleR @t129 @t14 @t1)) % 0.84/1.09 (define @t439 () (@list @t1 @t11 @t129 @t14)) % 0.84/1.09 (define @t440 () (@var "V_ra" $$unsorted)) % 0.84/1.09 (define @t441 () (tptp.c_RealVector_OscaleR__class_OscaleR @t129 @t25 @t1)) % 0.84/1.09 (define @t442 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t7 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t443 () (not (tptp.c_lessequals @t142 @t289 @t1))) % 0.84/1.09 (define @t444 () (tptp.c_lessequals @t289 @t142 @t1)) % 0.84/1.09 (define @t445 () (not @t390)) % 0.84/1.09 (define @t446 () (tptp.c_HOL_Oord__class_Oless @t93 @t77 @t1)) % 0.84/1.09 (define @t447 () (tptp.c_HOL_Oord__class_Oless @t281 @t280 @t1)) % 0.84/1.09 (define @t448 () (not @t447)) % 0.84/1.09 (define @t449 () (tptp.c_HOL_Oord__class_Oless @t277 @t276 @t1)) % 0.84/1.09 (define @t450 () (not @t449)) % 0.84/1.09 (define @t451 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 0.84/1.09 (define @t452 () (not @t278)) % 0.84/1.09 (define @t453 () (tptp.c_HOL_Oord__class_Oless @t81 @t2 @t1)) % 0.84/1.09 (define @t454 () (not @t453)) % 0.84/1.09 (define @t455 () (tptp.c_HOL_Oord__class_Oless @t2 @t74 @t1)) % 0.84/1.09 (define @t456 () (tptp.c_RealVector_Onorm__class_Onorm tptp.v_w____ tptp.tc_Complex_Ocomplex)) % 0.84/1.09 (define @t457 () (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower @t456 (tptp.c_HOL_Oplus__class_Oplus tptp.v_k____ @t134 tptp.tc_nat) tptp.tc_RealDef_Oreal) tptp.v_m____ tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t458 () (tptp.c_HOL_Oinverse__class_Oinverse @t457 tptp.tc_RealDef_Oreal)) % 0.84/1.09 (define @t459 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t110 @t1)) % 0.84/1.09 (define @t460 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t14 @t1)) % 0.84/1.09 (define @t461 () (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t2 @t1) @t2)) % 0.84/1.09 (define @t462 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.84/1.09 (define @t463 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t14 @t1) @t2)) % 0.84/1.09 (define @t464 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.84/1.09 (define @t465 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t11 @t1) @t2)) % 0.84/1.09 (define @t466 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t131 @t1)) % 0.84/1.09 (define @t467 () (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t201 @t1)) % 0.84/1.09 (define @t468 () (not (tptp.class_RealVector_Oreal__algebra @t1))) % 0.84/1.09 (define @t469 () (tptp.c_HOL_Otimes__class_Otimes @t184 @t25 @t1)) % 0.84/1.09 (define @t470 () (tptp.c_RealVector_OscaleR__class_OscaleR @t129 @t121 @t1)) % 0.84/1.09 (define @t471 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t14 @t1)) % 0.84/1.09 (define @t472 () (tptp.c_HOL_Ouminus__class_Ouminus @t121 @t1)) % 0.84/1.09 (define @t473 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t163 @t1)) % 0.84/1.09 (define @t474 () (= (tptp.c_HOL_Otimes__class_Otimes @t16 @t81 @t1) (tptp.c_HOL_Oplus__class_Oplus @t281 @t280 @t1))) % 0.84/1.09 (define @t475 () (tptp.c_HOL_Oplus__class_Oplus @t201 @t466 @t1)) % 0.84/1.09 (define @t476 () (tptp.c_HOL_Otimes__class_Otimes @t229 @t14 @t1)) % 0.84/1.09 (define @t477 () (@var "V_ya" $$unsorted)) % 0.84/1.09 (define @t478 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t477 @t1)) % 0.84/1.09 (define @t479 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t477 @t1)) % 0.84/1.09 (define @t480 () (@list @t1 @t25 @t42 @t477)) % 0.84/1.09 (define @t481 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t236 @t1)) % 0.84/1.09 (define @t482 () (tptp.c_HOL_Otimes__class_Otimes @t184 @t42 @t1)) % 0.84/1.09 (define @t483 () (@list @t1 @t184 @t25 @t42)) % 0.84/1.09 (define @t484 () (not (= @t121 @t2))) % 0.84/1.09 (define @t485 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.84/1.09 (define @t486 () (= @t11 @t110)) % 0.84/1.09 (define @t487 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t33 @t1)) % 0.84/1.09 (define @t488 () (= @t487 @t11)) % 0.84/1.09 (define @t489 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.84/1.09 (define @t490 () (or @t489 @t488)) % 0.84/1.09 (define @t491 () (forall @t48 @t490)) % 0.84/1.09 (define @t492 () (= (tptp.c_HOL_Otimes__class_Otimes @t33 @t11 @t1) @t11)) % 0.84/1.09 (define @t493 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1))) % 0.84/1.09 (define @t494 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t81 @t1)) % 0.84/1.09 (define @t495 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t77 @t1)) % 0.84/1.10 (define @t496 () (not (tptp.c_HOL_Oord__class_Oless @t33 @t11 @t1))) % 0.84/1.10 (define @t497 () (tptp.c_Power_Opower__class_Opower @t38 @t123 @t1)) % 0.84/1.10 (define @t498 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t178 @t1) (tptp.c_Power_Opower__class_Opower @t142 @t123 @t1))) % 0.84/1.10 (define @t499 () (not (= @t178 @t2))) % 0.84/1.10 (define @t500 () (tptp.c_HOL_Oabs__class_Oabs @t178 @t1)) % 0.84/1.10 (define @t501 () (tptp.c_RealVector_Onorm__class_Onorm @t42 @t1)) % 0.84/1.10 (define @t502 () (tptp.c_HOL_Otimes__class_Otimes @t111 @t501 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t503 () (tptp.c_RealVector_Onorm__class_Onorm @t201 @t1)) % 0.84/1.10 (define @t504 () (tptp.c_Polynomial_Opoly @t339 @t25 @t1)) % 0.84/1.10 (define @t505 () (not (tptp.c_HOL_Oord__class_Oless @t111 @t129 tptp.tc_RealDef_Oreal))) % 0.84/1.10 (define @t506 () (@var "V_s" $$unsorted)) % 0.84/1.10 (define @t507 () (not (tptp.c_HOL_Oord__class_Oless @t501 @t506 tptp.tc_RealDef_Oreal))) % 0.84/1.10 (define @t508 () (tptp.c_RealVector_Onorm__class_Onorm @t53 @t1)) % 0.84/1.10 (define @t509 () (@list @t1 @t25 @t42 @t129 @t506)) % 0.84/1.10 (define @t510 () (tptp.c_RealVector_Onorm__class_Onorm @t131 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (define @t511 () (tptp.c_RealVector_Oof__real @t25 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (define @t512 () (@var "V_x1" $$unsorted)) % 0.84/1.10 (define @t513 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t512 tptp.tc_RealDef_Oreal))) % 0.84/1.10 (define @t514 () (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t512 @t42 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t25 @t418 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.84/1.10 (define @t515 () (tptp.c_HOL_Oinverse__class_Oinverse @t512 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t516 () (tptp.c_RealVector_Oof__real @t42 @t1)) % 0.84/1.10 (define @t517 () (= (tptp.c_RealVector_Oof__real @t234 @t1) (tptp.c_HOL_Ominus__class_Ominus @t267 @t516 @t1))) % 0.84/1.10 (define @t518 () (= @t81 @t7)) % 0.84/1.10 (define @t519 () (@var "V_nat_H" $$unsorted)) % 0.84/1.10 (define @t520 () (@var "V_nat" $$unsorted)) % 0.84/1.10 (define @t521 () (not (= @t16 @t2))) % 0.84/1.10 (define @t522 () (tptp.c_HOL_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (define @t523 () (tptp.c_HOL_Otimes__class_Otimes @t256 @t163 @t1)) % 0.84/1.10 (define @t524 () (tptp.c_lessequals @t234 @t7 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t525 () (tptp.c_lessequals @t92 @t2 @t1)) % 0.84/1.10 (define @t526 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t33 @t1) @t33)) % 0.84/1.10 (define @t527 () (= (tptp.c_RealVector_Oof__real @t335 @t1) (tptp.c_HOL_Oplus__class_Oplus @t267 @t516 @t1))) % 0.84/1.10 (define @t528 () (tptp.c_HOL_Oord__class_Oless @t92 @t2 @t1)) % 0.84/1.10 (define @t529 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 0.84/1.10 (define @t530 () (not (= @t142 @t2))) % 0.84/1.10 (define @t531 () (= @t529 @t2)) % 0.84/1.10 (define @t532 () (tptp.c_lessequals @t45 @t2 @t1)) % 0.84/1.10 (define @t533 () (tptp.c_HOL_Oabs__class_Oabs @t129 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t534 () (@var "V_j" $$unsorted)) % 0.84/1.10 (define @t535 () (@var "V_i" $$unsorted)) % 0.84/1.10 (define @t536 () (tptp.c_HOL_Oord__class_Oless @t2 @t38 @t1)) % 0.84/1.10 (define @t537 () (@list @t149 @t131)) % 0.84/1.10 (define @t538 () (tptp.c_HOL_Oord__class_Oless @t11 @t38 @t1)) % 0.84/1.10 (define @t539 () (tptp.c_Polynomial_Omonom @t11 @t123 @t1)) % 0.84/1.10 (define @t540 () (tptp.c_HOL_Ouminus__class_Ouminus @t16 @t1)) % 0.84/1.10 (define @t541 () (@list @t25 @t123)) % 0.84/1.10 (define @t542 () (tptp.c_Power_Opower__class_Opower tptp.v_t____ tptp.v_k____ tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t543 () (tptp.c_HOL_Otimes__class_Otimes @t542 @t132 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t544 () (tptp.c_HOL_Otimes__class_Otimes @t542 (tptp.c_HOL_Otimes__class_Otimes tptp.v_t____ @t457 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t545 () (tptp.c_HOL_Oord__class_Oless @t544 @t543 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t546 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t178 @t1)) % 0.84/1.10 (define @t547 () (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Oof__real tptp.v_t____ tptp.tc_Complex_Ocomplex) tptp.v_w____ tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (define @t548 () (tptp.c_Polynomial_Opoly tptp.v_s____ @t547 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (define @t549 () (tptp.c_Power_Opower__class_Opower @t547 tptp.v_k____ tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (define @t550 () (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t549 @t547 tptp.tc_Complex_Ocomplex) @t548 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (define @t551 () (tptp.c_HOL_Oord__class_Oless @t121 @t2 @t1)) % 0.84/1.10 (define @t552 () (tptp.c_HOL_Oord__class_Oless @t2 @t121 @t1)) % 0.84/1.10 (define @t553 () (not @t376)) % 0.84/1.10 (define @t554 () (tptp.c_Power_Opower__class_Opower @t11 @t163 @t1)) % 0.84/1.10 (define @t555 () (@list @t1 @t11 @t163 @t123)) % 0.84/1.10 (define @t556 () (tptp.c_Power_Opower__class_Opower @t25 (tptp.c_Suc @t338) @t1)) % 0.84/1.10 (define @t557 () (tptp.c_Power_Opower__class_Opower @t25 @t338 @t1)) % 0.84/1.10 (define @t558 () (@list @t1 @t25 @t338)) % 0.84/1.10 (define @t559 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t557 @t1)) % 0.84/1.10 (define @t560 () (tptp.c_HOL_Otimes__class_Otimes @t178 @t11 @t1)) % 0.84/1.10 (define @t561 () (tptp.c_Power_Opower__class_Opower @t111 @t123 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t562 () (tptp.c_RealVector_Onorm__class_Onorm @t186 @t1)) % 0.84/1.10 (define @t563 () (tptp.c_Power_Opower__class_Opower @t25 @t123 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t564 () (@var "V_ry" $$unsorted)) % 0.84/1.10 (define @t565 () (@var "V_lx" $$unsorted)) % 0.84/1.10 (define @t566 () (@var "V_rx" $$unsorted)) % 0.84/1.10 (define @t567 () (tptp.c_HOL_Otimes__class_Otimes @t566 @t564 @t1)) % 0.84/1.10 (define @t568 () (tptp.c_HOL_Otimes__class_Otimes @t565 @t567 @t1)) % 0.84/1.10 (define @t569 () (@list @t1 @t565 @t566 @t564)) % 0.84/1.10 (define @t570 () (tptp.c_HOL_Otimes__class_Otimes @t565 @t566 @t1)) % 0.84/1.10 (define @t571 () (@var "V_ly" $$unsorted)) % 0.84/1.10 (define @t572 () (tptp.c_HOL_Otimes__class_Otimes @t565 @t571 @t1)) % 0.84/1.10 (define @t573 () (tptp.c_HOL_Otimes__class_Otimes @t572 @t566 @t1)) % 0.84/1.10 (define @t574 () (@list @t1 @t565 @t571 @t566)) % 0.84/1.10 (define @t575 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.84/1.10 (define @t576 () (tptp.c_HOL_Otimes__class_Otimes @t572 @t567 @t1)) % 0.84/1.10 (define @t577 () (@list @t1 @t565 @t571 @t566 @t564)) % 0.84/1.10 (define @t578 () (tptp.c_lessequals @t550 @t544 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t579 () (tptp.c_HOL_Oord__class_Oless @t550 @t542 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t580 () (@var "T_1" $$unsorted)) % 0.84/1.10 (define @t581 () (not (tptp.class_OrderedGroup_Ocancel__comm__monoid__add @t580))) % 0.84/1.10 (define @t582 () (tptp.tc_Polynomial_Opoly @t580)) % 0.84/1.10 (define @t583 () (@list @t580)) % 0.84/1.10 (define @t584 () (not (tptp.class_Ring__and__Field_Ocomm__ring @t580))) % 0.84/1.10 (define @t585 () (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t586 () (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.84/1.10 (define @t587 () (not (tptp.class_Ring__and__Field_Oordered__idom @t580))) % 0.84/1.10 (define @t588 () (not (tptp.class_Ring__and__Field_Oidom @t580))) % 0.84/1.10 (define @t589 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t580))) % 0.84/1.10 (define @t590 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t580))) % 0.84/1.10 (define @t591 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t580))) % 0.84/1.10 (define @t592 () (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t580))) % 0.84/1.10 (define @t593 () (not (tptp.class_OrderedGroup_Oab__group__add @t580))) % 0.84/1.10 (define @t594 () (not (tptp.c_HOL_Oord__class_Oless @t544 @t542 tptp.tc_RealDef_Oreal))) % 0.84/1.10 (define @t595 () (not @t578)) % 0.84/1.10 (define @t596 () (not @t586)) % 0.84/1.10 (define @t597 () (or @t596 @t579 @t595 @t594)) % 0.84/1.10 (define @t598 () (= @t542 @t543)) % 0.84/1.10 (define @t599 () (not @t585)) % 0.84/1.10 (define @t600 () (or @t599 @t598)) % 0.84/1.10 (assume @p1 (forall @t6 (or @t5 (tptp.c_lessequals @t4 @t2 @t1)))) % 0.84/1.10 (assume @p2 (forall @t6 (or @t9 @t8))) % 0.84/1.10 (assume @p3 (forall @t6 (or @t10 @t9 @t8))) % 0.84/1.10 (assume @p4 (forall @t19 (or @t18 @t17 @t15 @t13))) % 0.84/1.10 (assume @p5 (forall @t19 (or @t18 @t17 @t23 @t21))) % 0.84/1.10 (assume @p6 (forall @t31 (or @t30 @t29 @t26 @t24))) % 0.84/1.10 (assume @p7 (forall @t31 (or @t32 @t30 @t29))) % 0.84/1.10 (assume @p8 (forall @t6 (or @t34 (not (= @t33 @t2))))) % 0.84/1.10 (assume @p9 (forall @t19 (or @t40 @t39 @t37))) % 0.84/1.10 (assume @p10 (forall @t44 (or (tptp.c_HOL_Oord__class_Oless @t7 @t43 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t7 @t42 tptp.tc_RealDef_Oreal)) @t41))) % 0.84/1.10 (assume @p11 (forall @t48 (or @t47 @t46 @t21))) % 0.84/1.10 (assume @p12 (forall @t48 (or @t47 @t20 @t49))) % 0.84/1.10 (assume @p13 (forall @t48 (or @t40 @t20 @t49))) % 0.84/1.10 (assume @p14 (forall @t48 (or @t40 @t46 @t21))) % 0.84/1.10 (assume @p15 (forall @t55 (or @t18 @t54 @t52 @t51 @t50))) % 0.84/1.10 (assume @p16 (forall @t55 (or @t18 @t54 @t52 @t51 @t26))) % 0.84/1.10 (assume @p17 (forall @t48 (or @t47 (not (= @t45 @t2)) @t56))) % 0.84/1.10 (assume @p18 (forall @t60 (or @t59 @t58))) % 0.84/1.10 (assume @p19 (forall @t60 (or @t61 @t58))) % 0.84/1.10 (assume @p20 (forall @t48 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t2 @t1) @t11)))) % 0.84/1.10 (assume @p21 (forall @t48 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t11 @t1) @t2)))) % 0.84/1.10 (assume @p22 (forall @t60 (or @t63 @t62 @t58))) % 0.84/1.10 (assume @p23 (forall @t48 (or @t65 @t64 @t21))) % 0.84/1.10 (assume @p24 (forall @t48 (or @t66 @t64 @t21))) % 0.84/1.10 (assume @p25 (forall @t48 (or @t68 @t67 @t64 @t21))) % 0.84/1.10 (assume @p26 (forall (@list @t1 @t25 @t11) (or @t63 @t62 (not (= @t25 (tptp.c_HOL_Oplus__class_Oplus @t25 @t11 @t1))) @t56))) % 0.84/1.10 (assume @p27 (forall @t60 (or @t72 @t32 @t71 @t70))) % 0.84/1.10 (assume @p28 (forall @t55 (or @t5 (tptp.c_lessequals @t2 @t74 @t1)))) % 0.84/1.10 (assume @p29 (forall @t44 (tptp.c_lessequals @t7 @t76 tptp.tc_RealDef_Oreal))) % 0.84/1.10 (assume @p30 (forall @t89 (or @t88 @t87 (not @t82)))) % 0.84/1.10 (assume @p31 (forall @t91 (or @t88 @t82 @t90))) % 0.84/1.10 (assume @p32 (forall @t89 (or @t88 @t87 (not @t94)))) % 0.84/1.10 (assume @p33 (forall @t95 (or @t88 @t94 @t90))) % 0.84/1.10 (assume @p34 (forall @t103 (or @t102 @t101 @t100 @t98 @t96))) % 0.84/1.10 (assume @p35 (forall @t103 (or @t102 @t101 @t100 @t106 @t105))) % 0.84/1.10 (assume @p36 (forall @t31 (or @t108 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t107 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t28 @t1))))) % 0.84/1.10 (assume @p37 (forall @t19 (or @t10 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t110 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t109 @t1))))) % 0.84/1.10 (assume @p38 (forall @t60 (or @t10 (not (= @t111 @t7)) @t26))) % 0.84/1.10 (assume @p39 (forall @t48 (or @t65 (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus @t35 @t1) @t2 @t1)))) % 0.84/1.10 (assume @p40 (forall (@list @t1 @t11 @t78 @t14 @t77) (or @t112 (= (tptp.c_HOL_Oplus__class_Oplus @t85 @t80 @t1) @t84)))) % 0.84/1.10 (assume @p41 (forall @t6 (or @t10 (tptp.c_lessequals @t113 @t7 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p42 (forall @t19 (or @t116 @t115 (not @t114)))) % 0.84/1.10 (assume @p43 (forall @t118 (or @t116 @t114 @t117))) % 0.84/1.10 (assume @p44 (forall @t19 (or (not (tptp.class_Ring__and__Field_Olordered__ring @t1)) (tptp.c_lessequals @t122 @t120 @t1)))) % 0.84/1.10 (assume @p45 (forall @t126 (or (not (tptp.class_Ring__and__Field_Osemiring__0 @t1)) @t125 (= (tptp.c_Power_Opower__class_Opower @t2 @t124 @t1) @t2)))) % 0.84/1.10 (assume @p46 (forall @t19 (or @t65 @t115 @t128))) % 0.84/1.10 (assume @p47 (forall (@list @t25 @t129) (or (tptp.c_lessequals @t25 @t129 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t130 @t129 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p48 (forall @t60 (or @t10 @t26 (not (tptp.c_lessequals @t111 @t7 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p49 (forall @t133 (= (tptp.c_HOL_Otimes__class_Otimes @t132 @t131 tptp.tc_RealDef_Oreal) @t131))) % 0.84/1.10 (assume @p50 (forall @t135 (= @t124 (tptp.c_HOL_Oplus__class_Oplus @t134 @t123 tptp.tc_nat)))) % 0.84/1.10 (assume @p51 (forall @t135 (= @t124 (tptp.c_HOL_Oplus__class_Oplus @t123 @t134 tptp.tc_nat)))) % 0.84/1.10 (assume @p52 (forall @t48 (or @t116 @t138 @t137))) % 0.84/1.10 (assume @p53 (forall @t48 (or @t116 @t136 (not @t138)))) % 0.84/1.10 (assume @p54 (forall @t19 (or @t65 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t140 @t1) @t139 @t1)))) % 0.84/1.10 (assume @p55 (forall @t48 (or @t32 @t144 @t143))) % 0.84/1.10 (assume @p56 (forall @t19 (or @t61 (= (tptp.c_HOL_Oplus__class_Oplus @t92 @t14 @t1) @t11)))) % 0.84/1.10 (assume @p57 (forall @t48 (or @t146 @t32 @t145))) % 0.84/1.10 (assume @p58 (forall @t6 (or @t18 @t148 @t148 @t147))) % 0.84/1.10 (assume @p59 (forall @t6 (or @t47 @t147))) % 0.84/1.10 (assume @p60 (forall @t150 (= (tptp.c_HOL_Otimes__class_Otimes @t131 @t149 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t149 @t131 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p61 (forall @t6 (or @t65 (= @t151 @t2)))) % 0.84/1.10 (assume @p62 (forall @t154 (or @t101 (= @t153 (tptp.c_HOL_Oplus__class_Oplus @t14 @t99 @t1))))) % 0.84/1.10 (assume @p63 (forall @t154 (or @t101 @t156))) % 0.84/1.10 (assume @p64 (forall @t160 (or @t159 (= @t158 (tptp.c_HOL_Oplus__class_Oplus @t53 @t131 @t1))))) % 0.84/1.10 (assume @p65 (forall (@list @t163 @t123 @t161) (= (tptp.c_HOL_Oplus__class_Oplus @t164 @t161 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t163 @t162 tptp.tc_nat)))) % 0.84/1.10 (assume @p66 (forall @t166 (= (tptp.c_HOL_Oplus__class_Oplus @t25 (tptp.c_HOL_Oplus__class_Oplus @t42 @t131 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t42 @t165 tptp.tc_nat)))) % 0.84/1.10 (assume @p67 (forall @t160 (or @t59 (= @t158 (tptp.c_HOL_Oplus__class_Oplus @t42 @t167 @t1))))) % 0.84/1.10 (assume @p68 (forall @t154 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t156))) % 0.84/1.10 (assume @p69 (forall @t170 (or @t159 (= @t169 (tptp.c_HOL_Oplus__class_Oplus @t99 @t77 @t1))))) % 0.84/1.10 (assume @p70 (forall @t154 (or @t159 (= @t155 (tptp.c_HOL_Oplus__class_Oplus @t99 @t14 @t1))))) % 0.84/1.10 (assume @p71 (forall @t170 (or @t159 (= @t169 (tptp.c_HOL_Oplus__class_Oplus @t81 (tptp.c_HOL_Oplus__class_Oplus @t11 @t77 @t1) @t1))))) % 0.84/1.10 (assume @p72 (forall @t154 (or @t159 @t156))) % 0.84/1.10 (assume @p73 (forall @t48 (or @t61 (not (= @t2 @t38)) (= @t2 @t11)))) % 0.84/1.10 (assume @p74 (forall @t19 (or @t65 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t16 @t1) @t171 @t1)))) % 0.84/1.10 (assume @p75 (forall @t19 (or @t10 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t174 tptp.tc_RealDef_Oreal) @t172 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p76 (forall @t103 (or @t102 @t101 @t176 @t175 @t105))) % 0.84/1.10 (assume @p77 (forall @t180 (or @t179 (tptp.c_lessequals @t178 @t177 @t1) @t105 @t117))) % 0.84/1.10 (assume @p78 (forall (@list @t1 @t25 @t182 @t181) (or @t59 (not (= @t57 @t183)) (= @t182 @t181)))) % 0.84/1.10 (assume @p79 (forall (@list @t1 @t184 @t42 @t25) (or @t59 (not (= (tptp.c_HOL_Ominus__class_Ominus @t184 @t42 @t1) @t57)) (= @t184 @t42)))) % 0.84/1.10 (assume @p80 (forall @t60 (or @t72 @t32 @t185 @t69 (not @t71)))) % 0.84/1.10 (assume @p81 (forall @t187 (or @t40 @t26 @t69 (not (tptp.c_lessequals @t186 @t2 @t1))))) % 0.84/1.10 (assume @p82 (forall @t194 (or @t193 @t190 @t188))) % 0.84/1.10 (assume @p83 (forall @t166 (or @t189 (not @t193) @t188))) % 0.84/1.10 (assume @p84 (forall @t198 (or @t197 @t190 @t188))) % 0.84/1.10 (assume @p85 (forall @t166 (or @t189 (not @t197) @t188))) % 0.84/1.10 (assume @p86 (forall @t203 (or @t202 (= (tptp.c_HOL_Ominus__class_Ominus @t201 @t121 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t200 @t199 @t1) (tptp.c_HOL_Otimes__class_Otimes @t200 @t14 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t11 @t199 @t1) @t1))))) % 0.84/1.10 (assume @p87 (forall @t206 (or @t108 (= @t205 (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Otimes__class_Otimes @t11 @t14 tptp.tc_RealDef_Oreal) @t25 @t1))))) % 0.84/1.10 (assume @p88 (forall @t60 (or @t72 @t32 @t209 @t208))) % 0.84/1.10 (assume @p89 (forall @t48 (or @t10 @t211))) % 0.84/1.10 (assume @p90 (forall @t212 (or @t10 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t14 @t1) @t2)))) % 0.84/1.10 (assume @p91 (forall @t48 (or @t108 @t211))) % 0.84/1.10 (assume @p92 (forall @t60 (or @t108 (= @t213 @t2)))) % 0.84/1.10 (assume @p93 (forall @t212 (or @t61 (= (tptp.c_HOL_Oplus__class_Oplus @t110 @t14 @t1) @t2)))) % 0.84/1.10 (assume @p94 (forall @t48 (or @t59 @t214))) % 0.84/1.10 (assume @p95 (forall @t48 (or @t61 (= (tptp.c_HOL_Oplus__class_Oplus @t11 @t38 @t1) @t2)))) % 0.84/1.10 (assume @p96 (forall @t48 (or @t61 @t214))) % 0.84/1.10 (assume @p97 (forall @t19 (or @t18 @t17 @t15 @t21))) % 0.84/1.10 (assume @p98 (forall @t48 (or @t61 (not (= @t38 @t2)) @t56))) % 0.84/1.10 (assume @p99 (forall @t60 (or @t72 @t32 @t215 @t70))) % 0.84/1.10 (assume @p100 (forall @t48 (or @t65 @t56 (not (tptp.c_lessequals @t35 @t2 @t1))))) % 0.84/1.10 (assume @p101 (forall @t216 (or @t67 (tptp.c_lessequals @t11 (tptp.c_HOL_Oplus__class_Oplus @t81 @t119 @t1) @t1) (not (tptp.c_lessequals @t16 @t81 @t1))))) % 0.84/1.10 (assume @p102 (forall @t19 (or @t61 (not (= @t38 @t110)) @t217))) % 0.84/1.10 (assume @p103 (forall @t55 (or @t220 (not (= @t107 @t219)) @t218))) % 0.84/1.10 (assume @p104 (forall @t150 (or (= @t131 @t149) (not @t222) (not @t221)))) % 0.84/1.10 (assume @p105 (forall @t55 (or @t227 @t218 @t226 @t224))) % 0.84/1.10 (assume @p106 (forall @t55 (or @t227 @t218 @t224 @t226))) % 0.84/1.10 (assume @p107 (forall @t48 (or @t65 @t228 @t105))) % 0.84/1.10 (assume @p108 (forall @t231 (or @t10 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus @t11 @t229 tptp.tc_RealDef_Oreal) @t14 @t1) (tptp.c_HOL_Ominus__class_Ominus @t109 @t230 @t1))))) % 0.84/1.10 (assume @p109 (forall @t235 (or @t108 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t234 @t184 @t1) (tptp.c_HOL_Ominus__class_Ominus @t233 @t232 @t1))))) % 0.84/1.10 (assume @p110 (forall @t239 (or @t10 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t238 @t1) (tptp.c_HOL_Ominus__class_Ominus @t109 @t237 @t1))))) % 0.84/1.10 (assume @p111 (forall @t242 (or @t108 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t241 @t1) (tptp.c_HOL_Ominus__class_Ominus @t28 @t240 @t1))))) % 0.84/1.10 (assume @p112 (forall @t206 (or @t108 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus @t11 @t14 tptp.tc_RealDef_Oreal) @t25 @t1) (tptp.c_HOL_Ominus__class_Ominus @t28 @t204 @t1))))) % 0.84/1.10 (assume @p113 (forall @t19 (or @t10 (tptp.c_lessequals @t172 (tptp.c_HOL_Oplus__class_Oplus @t141 @t173 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p114 (forall @t194 (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus @t131 @t25 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t131 @t42 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t190))) % 0.84/1.10 (assume @p115 (forall @t247 (or @t246 @t245 @t117))) % 0.84/1.10 (assume @p116 (forall @t216 (or @t246 @t248 @t117))) % 0.84/1.10 (assume @p117 (forall @t154 (or @t102 @t115 (not @t245)))) % 0.84/1.10 (assume @p118 (forall @t247 (or @t102 @t245 @t117))) % 0.84/1.10 (assume @p119 (forall @t154 (or @t102 @t115 (not @t248)))) % 0.84/1.10 (assume @p120 (forall @t216 (or @t102 @t248 @t117))) % 0.84/1.10 (assume @p121 (forall @t19 (or @t252 @t251 @t250 @t105))) % 0.84/1.10 (assume @p122 (forall @t19 (or @t252 @t251 @t23 @t105))) % 0.84/1.10 (assume @p123 (forall @t19 (or @t252 @t251 @t250 @t13))) % 0.84/1.10 (assume @p124 (forall @t19 (or @t252 @t251 @t23 @t13))) % 0.84/1.10 (assume @p125 (forall @t19 (or @t47 @t255 @t254))) % 0.84/1.10 (assume @p126 (forall @t19 (or @t47 @t253 (not @t255)))) % 0.84/1.10 (assume @p127 (forall @t48 (or @t179 (tptp.c_HOL_Oord__class_Oless @t11 @t256 @t1)))) % 0.84/1.10 (assume @p128 (forall @t60 (or @t72 @t32 @t209 @t258))) % 0.84/1.10 (assume @p129 (forall @t48 (or @t116 @t104 (not @t259)))) % 0.84/1.10 (assume @p130 (forall @t48 (or @t116 @t259 @t105))) % 0.84/1.10 (assume @p131 (forall @t260 (= (tptp.c_HOL_Ominus__class_Ominus @t75 @t132 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t25 @t132 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Ominus__class_Ominus @t25 @t132 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p132 (forall @t19 (or @t40 @t36 @t263 @t262))) % 0.84/1.10 (assume @p133 (forall @t19 (or @t5 @t12 @t104 @t265))) % 0.84/1.10 (assume @p134 (forall @t118 (or @t5 @t249 @t104 @t265))) % 0.84/1.10 (assume @p135 (forall @t19 (or @t5 @t12 @t22 @t265))) % 0.84/1.10 (assume @p136 (forall @t118 (or @t5 @t249 @t22 @t265))) % 0.84/1.10 (assume @p137 (forall @t19 (or @t65 @t266 @t128))) % 0.84/1.10 (assume @p138 (forall @t19 (or @t61 (= (tptp.c_HOL_Oplus__class_Oplus @t11 (tptp.c_HOL_Oplus__class_Oplus @t38 @t14 @t1) @t1) @t14)))) % 0.84/1.10 (assume @p139 (forall @t60 (or @t32 @t30 @t269))) % 0.84/1.10 (assume @p140 (forall @t103 (or @t179 @t176 @t175 @t137))) % 0.84/1.10 (assume @p141 (forall @t44 (= (tptp.c_Complex_Ocnj (tptp.c_HOL_Oplus__class_Oplus @t25 @t42 tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Oplus__class_Oplus @t271 @t270 tptp.tc_Complex_Ocomplex)))) % 0.84/1.10 (assume @p142 (forall @t48 (or @t72 @t20 @t56 @t273))) % 0.84/1.10 (assume @p143 (forall (@list @t275 @t25) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t132 @t275 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t25 tptp.tc_RealDef_Oreal) @t132 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t275 @t132 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t25 @t275 tptp.tc_RealDef_Oreal)) @t274))) % 0.84/1.10 (assume @p144 (forall @t247 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t278 @t96 @t117))) % 0.84/1.10 (assume @p145 (forall @t247 (or @t279 @t278 @t96 @t117))) % 0.84/1.10 (assume @p146 (forall @t216 (or @t279 @t282 @t96 @t117))) % 0.84/1.10 (assume @p147 (forall @t247 (or @t88 @t278 @t283 @t98))) % 0.84/1.10 (assume @p148 (forall @t216 (or @t88 @t282 @t283 @t98))) % 0.84/1.10 (assume @p149 (forall (@list @t1 @t25 @t129 @t81 @t77) (or @t63 @t62 (not (= (tptp.c_HOL_Oplus__class_Oplus @t25 (tptp.c_HOL_Otimes__class_Otimes @t129 @t81 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t25 (tptp.c_HOL_Otimes__class_Otimes @t129 @t77 @t1) @t1))) @t284 (= @t129 @t2)))) % 0.84/1.10 (assume @p150 (forall @t44 (or @t286 @t285))) % 0.84/1.10 (assume @p151 (forall @t44 (or @t286 @t287))) % 0.84/1.10 (assume @p152 (forall @t55 (or @t5 @t288 @t26))) % 0.84/1.10 (assume @p153 (forall @t55 (or @t5 @t288 @t50))) % 0.84/1.10 (assume @p154 (forall @t135 (not (= @t123 @t124)))) % 0.84/1.10 (assume @p155 (forall @t135 (not (= @t124 @t123)))) % 0.84/1.10 (assume @p156 (forall @t60 (or @t108 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t132 @t25 @t1) @t25)))) % 0.84/1.10 (assume @p157 (forall @t19 (or @t146 (not (= @t121 @t33)) (= @t142 @t14)))) % 0.84/1.10 (assume @p158 (forall @t60 (or @t9 (not (= @t267 @t2)) @t285))) % 0.84/1.10 (assume @p159 (forall @t19 (or @t146 @t32 @t290 @t217))) % 0.84/1.10 (assume @p160 (forall @t19 (or @t146 @t290 @t217 @t291 @t56))) % 0.84/1.10 (assume @p161 (= (tptp.c_HOL_Oinverse__class_Oinverse @t7 tptp.tc_RealDef_Oreal) @t7)) % 0.84/1.10 (assume @p162 (forall @t6 (or @t146 @t32 @t292))) % 0.84/1.10 (assume @p163 (forall @t6 (or @t32 @t292))) % 0.84/1.10 (assume @p164 (forall @t295 (or @t116 @t294 @t225 (not @t293)))) % 0.84/1.10 (assume @p165 (forall @t295 (or @t116 @t294 @t293 @t226))) % 0.84/1.10 (assume @p166 (forall @t48 (or @t146 @t32 @t296))) % 0.84/1.10 (assume @p167 (forall @t19 (or @t88 @t297 @t250 @t105))) % 0.84/1.10 (assume @p168 (forall @t19 (or @t88 @t297 @t23 @t13))) % 0.84/1.10 (assume @p169 (forall @t48 (or @t5 (tptp.c_lessequals @t2 @t298 @t1)))) % 0.84/1.10 (assume @p170 (forall @t19 (or @t5 @t297 @t250 @t105))) % 0.84/1.10 (assume @p171 (forall @t19 (or @t5 @t297 @t23 @t13))) % 0.84/1.10 (assume @p172 (forall @t19 (or @t299 @t297 @t250 @t105))) % 0.84/1.10 (assume @p173 (forall @t60 (or @t62 (= @t107 (tptp.c_HOL_Otimes__class_Otimes @t300 @t25 @t1))))) % 0.84/1.10 (assume @p174 (forall @t302 (or @t9 (= @t301 (tptp.c_RealVector_OscaleR__class_OscaleR @t129 @t33 @t1))))) % 0.84/1.10 (assume @p175 (forall @t19 (or @t65 (tptp.c_lessequals @t140 @t139 @t1)))) % 0.84/1.10 (assume @p176 (forall (@list @t305 @t304 @t303) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t305 @t304 tptp.tc_RealDef_Oreal) @t303 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t305 (tptp.c_HOL_Otimes__class_Otimes @t304 @t303 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p177 (forall (@list @t305 @t304 @t149) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t305 @t304 tptp.tc_RealDef_Oreal) @t149 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t305 @t149 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t304 @t149 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p178 (forall @t48 (or @t47 @t136 (not @t306)))) % 0.84/1.10 (assume @p179 (forall @t48 (or @t47 @t306 @t137))) % 0.84/1.10 (assume @p180 (forall @t19 (or @t65 (= @t139 (tptp.c_HOL_Oabs__class_Oabs @t79 @t1))))) % 0.84/1.10 (assume @p181 (forall @t60 (or @t72 @t32 @t207 (not @t308) @t307))) % 0.84/1.10 (assume @p182 (forall @t19 (or @t5 @t12 @t104 @t309))) % 0.84/1.10 (assume @p183 (forall @t118 (or @t5 @t22 @t104 @t309))) % 0.84/1.10 (assume @p184 (forall @t19 (or @t5 @t12 @t249 @t309))) % 0.84/1.10 (assume @p185 (forall @t118 (or @t5 @t22 @t249 @t309))) % 0.84/1.10 (assume @p186 (forall @t48 (or @t310 (not (= @t38 @t11)) @t56))) % 0.84/1.10 (assume @p187 (forall @t6 (or @t40 (= (tptp.c_HOL_Oabs__class_Oabs @t33 @t1) @t33)))) % 0.84/1.10 (assume @p188 (forall @t6 (or @t179 (tptp.c_HOL_Oord__class_Oless @t2 @t311 @t1)))) % 0.84/1.10 (assume @p189 (forall @t260 (or (= (tptp.c_HOL_Otimes__class_Otimes @t268 @t25 tptp.tc_RealDef_Oreal) @t132) @t285))) % 0.84/1.10 (assume @p190 (forall @t48 (or @t313 @t312 @t56))) % 0.84/1.10 (assume @p191 (forall @t48 (or @t146 @t312 @t56))) % 0.84/1.10 (assume @p192 (forall @t48 (or @t146 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t142 @t1) @t33) @t56))) % 0.84/1.10 (assume @p193 (forall @t318 (or @t317 @t316 @t96 @t250 @t314 @t117))) % 0.84/1.10 (assume @p194 (forall @t318 (or @t317 @t316 @t96 @t105 @t314 @t117))) % 0.84/1.10 (assume @p195 (forall @t180 (or @t179 (not (= @t320 @t319)) @t217 @t250 @t105))) % 0.84/1.10 (assume @p196 (forall @t19 (or @t59 @t321 @t217))) % 0.84/1.10 (assume @p197 (forall @t19 (or @t61 @t321 @t217))) % 0.84/1.10 (assume @p198 (forall @t55 (or @t63 @t62 (not (= @t241 @t2)) @t218))) % 0.84/1.10 (assume @p199 (forall @t323 (or @t5 @t50 @t322))) % 0.84/1.10 (assume @p200 (forall @t55 (or @t5 @t26 @t322))) % 0.84/1.10 (assume @p201 (forall @t318 (or @t59 (= (tptp.c_HOL_Ominus__class_Ominus @t99 @t324 @t1) (tptp.c_HOL_Oplus__class_Oplus @t92 (tptp.c_HOL_Ominus__class_Ominus @t81 @t77 @t1) @t1))))) % 0.84/1.10 (assume @p202 (forall @t48 (or @t72 @t32 @t325 @t13))) % 0.84/1.10 (assume @p203 (forall @t48 (or @t72 @t32 @t12 (not @t325)))) % 0.84/1.10 (assume @p204 (forall @t60 (or @t313 @t32 (not (= @t27 @t33)) (= @t25 @t33)))) % 0.84/1.10 (assume @p205 (forall @t60 (or @t72 @t32 @t326 @t69 (not @t215)))) % 0.84/1.10 (assume @p206 (forall (@list @t1 @t11 @t129 @t25) (or @t40 @t329 @t328))) % 0.84/1.10 (assume @p207 (forall @t48 (or @t72 @t32 @t330))) % 0.84/1.10 (assume @p208 (forall @t48 (or @t65 @t228 @t137))) % 0.84/1.10 (assume @p209 (forall @t48 (or @t72 @t331 @t137))) % 0.84/1.10 (assume @p210 (forall @t48 (or @t72 @t32 @t331 @t137))) % 0.84/1.10 (assume @p211 (forall @t48 (or @t72 @t32 @t136 @t332))) % 0.84/1.10 (assume @p212 (forall (@list @t129 @t123) (or (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower @t129 @t124 tptp.tc_RealDef_Oreal) @t129 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t129 @t132 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t7 @t129 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p213 (forall @t44 (or @t333 @t287))) % 0.84/1.10 (assume @p214 (forall @t44 (or @t333 @t285))) % 0.84/1.10 (assume @p215 (forall @t206 (or @t108 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus @t11 @t14 tptp.tc_RealDef_Oreal) @t25 @t1) (tptp.c_HOL_Oplus__class_Oplus @t28 @t204 @t1))))) % 0.84/1.10 (assume @p216 (forall @t242 (or @t108 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t53 @t1) (tptp.c_HOL_Oplus__class_Oplus @t28 @t240 @t1))))) % 0.84/1.10 (assume @p217 (forall @t239 (or @t10 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t334 @t1) (tptp.c_HOL_Oplus__class_Oplus @t109 @t237 @t1))))) % 0.84/1.10 (assume @p218 (forall @t235 (or @t108 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t335 @t184 @t1) (tptp.c_HOL_Oplus__class_Oplus @t233 @t232 @t1))))) % 0.84/1.10 (assume @p219 (forall @t231 (or @t10 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus @t11 @t229 tptp.tc_RealDef_Oreal) @t14 @t1) (tptp.c_HOL_Oplus__class_Oplus @t109 @t230 @t1))))) % 0.84/1.10 (assume @p220 (forall (@list @t14 @t11) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus @t14 @t11 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm @t14 tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm @t11 tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal))) % 0.84/1.10 (assume @p221 (forall @t160 (or @t59 (not (= @t158 @t42)) (= @t25 @t336)))) % 0.84/1.10 (assume @p222 (= (tptp.c_HOL_Otimes__class_Otimes @t132 @t132 tptp.tc_RealDef_Oreal) @t132)) % 0.84/1.10 (assume @p223 (forall (@list @t1 @t339 @t11 @t338) (or @t342 (= (tptp.c_HOL_Otimes__class_Otimes @t339 (tptp.c_Polynomial_Osmult @t11 @t338 @t1) @t337) @t341)))) % 0.84/1.10 (assume @p224 (forall (@list @t1 @t11 @t339 @t338) (or @t342 (= (tptp.c_HOL_Otimes__class_Otimes @t343 @t338 @t337) @t341)))) % 0.84/1.10 (assume @p225 (forall @t48 (or @t65 @t64 @t13))) % 0.84/1.10 (assume @p226 (forall @t194 (or (tptp.c_HOL_Oord__class_Oless @t192 @t191 tptp.tc_RealDef_Oreal) @t345 @t188))) % 0.84/1.10 (assume @p227 (forall @t198 (or @t346 @t345 @t188))) % 0.84/1.10 (assume @p228 (forall @t166 (or @t344 (not @t346) @t188))) % 0.84/1.10 (assume @p229 (forall @t19 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t110 @t1) @t16)))) % 0.84/1.10 (assume @p230 (tptp.c_HOL_Oord__class_Oless @t7 tptp.v_m____ tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p231 (forall @t48 (or @t348 @t347))) % 0.84/1.10 (assume @p232 (forall @t48 (or @t348 @t349))) % 0.84/1.10 (assume @p233 (forall @t48 (or @t101 @t347))) % 0.84/1.10 (assume @p234 (forall @t60 (or @t63 @t62 (= @t25 (tptp.c_HOL_Oplus__class_Oplus @t25 @t2 @t1))))) % 0.84/1.10 (assume @p235 (forall @t60 (or @t159 (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t25 @t1) @t25)))) % 0.84/1.10 (assume @p236 (forall @t48 (or @t101 @t349))) % 0.84/1.10 (assume @p237 (forall @t48 (or @t159 @t347))) % 0.84/1.10 (assume @p238 (forall @t48 (or @t159 @t349))) % 0.84/1.10 (assume @p239 (forall @t260 (= (tptp.c_Complex_Ocnj (tptp.c_HOL_Ouminus__class_Ouminus @t25 tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Ouminus__class_Ouminus @t271 tptp.tc_Complex_Ocomplex)))) % 0.84/1.10 (assume @p240 (forall @t19 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t14 @t1) @t11)))) % 0.84/1.10 (assume @p241 (forall @t351 (or @t40 @t327 (not @t350) (not @t329)))) % 0.84/1.10 (assume @p242 (forall @t212 (or @t61 (= @t352 @t14)))) % 0.84/1.10 (assume @p243 (forall @t48 (or @t61 (= @t11 @t353)))) % 0.84/1.10 (assume @p244 (forall @t212 (or @t61 (= @t14 @t352)))) % 0.84/1.10 (assume @p245 (forall @t60 (or @t220 (= (tptp.c_HOL_Ouminus__class_Ouminus @t107 @t1) @t25)))) % 0.84/1.10 (assume @p246 (forall @t48 (or @t61 (= @t353 @t11)))) % 0.84/1.10 (assume @p247 (forall @t19 (or @t59 (= @t354 @t79)))) % 0.84/1.10 (assume @p248 (forall @t318 (or @t356 @t355 @t314 @t262))) % 0.84/1.10 (assume @p249 (forall @t318 (or @t356 @t355 @t357 @t117))) % 0.84/1.10 (assume @p250 (forall @t19 (or @t116 @t266 (not @t358)))) % 0.84/1.10 (assume @p251 (forall @t118 (or @t116 @t358 @t359))) % 0.84/1.10 (assume @p252 (forall @t19 (or @t116 @t253 (not @t360)))) % 0.84/1.10 (assume @p253 (forall @t118 (or @t116 @t360 @t254))) % 0.84/1.10 (assume @p254 (forall @t365 (or @t227 @t364 @t363 @t362))) % 0.84/1.10 (assume @p255 (forall @t365 (or @t227 @t364 @t366 @t226))) % 0.84/1.10 (assume @p256 (forall @t372 (or @t371 @t370 @t369 @t368))) % 0.84/1.10 (assume @p257 (forall @t372 (or @t371 @t370 @t373 @t224))) % 0.84/1.10 (assume @p258 (forall @t216 (or @t356 @t374 @t262))) % 0.84/1.10 (assume @p259 (forall @t216 (or @t102 @t374 @t262))) % 0.84/1.10 (assume @p260 (forall @t154 (or @t102 @t261 (not @t374)))) % 0.84/1.10 (assume @p261 (forall @t247 (or @t356 @t375 @t262))) % 0.84/1.10 (assume @p262 (forall @t247 (or @t102 @t375 @t262))) % 0.84/1.10 (assume @p263 (forall @t154 (or @t102 @t261 (not @t375)))) % 0.84/1.10 (assume @p264 (forall @t55 (or @t371 @t223 @t368))) % 0.84/1.10 (assume @p265 (forall @t55 (or @t227 @t223 @t368))) % 0.84/1.10 (assume @p266 (forall @t318 (or @t356 @t355 @t357 @t262))) % 0.84/1.10 (assume @p267 (forall @t55 (or @t371 @t367 @t225 @t224))) % 0.84/1.10 (assume @p268 (forall @t19 (or @t40 @t261 @t37))) % 0.84/1.10 (assume @p269 (forall @t118 (or @t227 @t376 @t217 @t98))) % 0.84/1.10 (assume @p270 (forall @t118 (or @t227 @t376 @t98 @t217))) % 0.84/1.10 (assume @p271 (forall @t55 (or @t68 @t218 @t367 @t224))) % 0.84/1.10 (assume @p272 (forall @t55 (or @t68 @t218 @t224 @t367))) % 0.84/1.10 (assume @p273 (forall @t19 (or @t227 @t261 @t117 @t217))) % 0.84/1.10 (assume @p274 (forall @t19 (or @t227 @t261 @t217 @t117))) % 0.84/1.10 (assume @p275 (forall @t55 (or @t227 @t218 @t367 @t224))) % 0.84/1.10 (assume @p276 (forall @t55 (or @t227 @t367 @t218 @t224))) % 0.84/1.10 (assume @p277 (forall @t295 (or @t116 @t294 @t377 @t368))) % 0.84/1.10 (assume @p278 (forall @t295 (or @t116 @t294 @t367 (not @t377)))) % 0.84/1.10 (assume @p279 (forall @t118 (or @t116 @t378 @t262))) % 0.84/1.10 (assume @p280 (forall @t19 (or @t116 @t261 (not @t378)))) % 0.84/1.10 (assume @p281 (forall @t323 (or @t371 @t226 @t368))) % 0.84/1.10 (assume @p282 (forall @t55 (or @t68 @t367 @t225))) % 0.84/1.10 (assume @p283 (forall @t60 (or @t68 (not @t381) @t380))) % 0.84/1.10 (assume @p284 (forall @t60 (or @t68 @t379 @t381))) % 0.84/1.10 (assume @p285 (forall @t55 (or @t68 @t368 @t226))) % 0.84/1.10 (assume @p286 (forall @t323 (or @t68 @t225 @t367))) % 0.84/1.10 (assume @p287 (forall @t323 (or @t68 @t361 @t223))) % 0.84/1.10 (assume @p288 (forall @t55 (or @t68 @t224 @t362))) % 0.84/1.10 (assume @p289 (forall @t19 (or @t116 @t39 (not @t382)))) % 0.84/1.10 (assume @p290 (forall @t118 (or @t116 @t382 @t263))) % 0.84/1.10 (assume @p291 (forall @t19 (or @t116 @t384 (not @t383)))) % 0.84/1.10 (assume @p292 (forall @t118 (or @t116 @t383 (not @t384)))) % 0.84/1.10 (assume @p293 (forall @t318 (or @t388 @t387 @t386 @t105 @t314 @t262))) % 0.84/1.10 (assume @p294 (forall @t318 (or @t388 @t387 @t96 @t137 @t357 @t117))) % 0.84/1.10 (assume @p295 (forall @t89 (or @t88 @t390 (not @t389)))) % 0.84/1.10 (assume @p296 (forall @t60 (or @t10 (tptp.c_lessequals @t7 @t111 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p297 (forall @t392 (or @t342 (= (tptp.c_Polynomial_Osmult @t11 @t391 @t1) (tptp.c_Polynomial_Omonom @t121 @t123 @t1))))) % 0.84/1.10 (assume @p298 (forall (@list @t1 @t339) (or @t159 (= (tptp.c_Polynomial_Osmult @t33 @t339 @t1) @t339)))) % 0.84/1.10 (assume @p299 (forall @t6 (or @t9 (= (tptp.c_RealVector_Oof__real @t132 @t1) @t33)))) % 0.84/1.10 (assume @p300 (forall @t60 (or @t72 @t32 @t393 @t258))) % 0.84/1.10 (assume @p301 (forall @t19 (or @t313 (= @t394 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t16 @t142 @t1) @t289 @t1)) @t291 @t56))) % 0.84/1.10 (assume @p302 (forall @t19 (or @t146 (= @t394 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t142 @t16 @t1) @t289 @t1)) @t291 @t56))) % 0.84/1.10 (assume @p303 (forall @t48 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t11 @t1) @t38)))) % 0.84/1.10 (assume @p304 (forall @t395 (or @t159 (= (tptp.c_HOL_Oplus__class_Oplus @t16 @t168 @t1) (tptp.c_HOL_Oplus__class_Oplus @t99 @t324 @t1))))) % 0.84/1.10 (assume @p305 (forall @t19 (or @t146 (= @t396 (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t142 @t92 @t1) @t289 @t1) @t1)) @t291 @t56))) % 0.84/1.10 (assume @p306 (forall @t55 (or @t59 @t397))) % 0.84/1.10 (assume @p307 (forall @t55 (or @t62 @t397))) % 0.84/1.10 (assume @p308 (forall @t19 (or @t61 @t398))) % 0.84/1.10 (assume @p309 (forall @t19 (or @t59 @t398))) % 0.84/1.10 (assume @p310 (forall @t323 (or @t40 (tptp.c_lessequals @t400 @t25 @t1) @t399 @t52 @t51))) % 0.84/1.10 (assume @p311 (forall @t55 (or @t40 (tptp.c_lessequals @t201 @t25 @t1) @t399 @t52 @t51))) % 0.84/1.10 (assume @p312 (forall @t19 (or @t65 @t127 @t359 @t117))) % 0.84/1.10 (assume @p313 (forall @t48 (or @t65 (= (tptp.c_HOL_Oabs__class_Oabs @t38 @t1) @t35)))) % 0.84/1.10 (assume @p314 (forall (@list @t163 @t161 @t123) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t163 @t161 tptp.tc_nat) @t162)) @t401))) % 0.84/1.10 (assume @p315 (forall (@list @t161 @t163 @t123) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t161 @t163 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t161 @t123 tptp.tc_nat))) @t401))) % 0.84/1.10 (assume @p316 (forall @t166 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t25 @t42 tptp.tc_nat) @t165)) @t402))) % 0.84/1.10 (assume @p317 (forall @t160 (or @t63 @t62 (not (= @t53 @t167)) @t402))) % 0.84/1.10 (assume @p318 (forall @t154 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t404 @t403))) % 0.84/1.10 (assume @p319 (forall @t154 (or @t405 @t404 @t403))) % 0.84/1.10 (assume @p320 (forall @t103 (or @t405 (not (= @t406 @t244)) @t403))) % 0.84/1.10 (assume @p321 (forall @t19 (or @t5 @t264 @t23 @t105))) % 0.84/1.10 (assume @p322 (forall @t19 (or @t5 @t264 @t250 @t13))) % 0.84/1.10 (assume @p323 (forall @t19 (or @t299 @t264 @t23 @t105))) % 0.84/1.10 (assume @p324 (forall @t19 (or @t299 @t264 @t250 @t13))) % 0.84/1.10 (assume @p325 (forall @t118 (or @t299 (tptp.c_lessequals @t407 @t2 @t1) @t23 @t105))) % 0.84/1.10 (assume @p326 (forall @t19 (or @t146 (= @t408 (tptp.c_HOL_Otimes__class_Otimes @t289 @t142 @t1)) @t291 @t56))) % 0.84/1.10 (assume @p327 (forall @t6 (or @t65 (tptp.c_lessequals @t151 @t2 @t1)))) % 0.84/1.10 (assume @p328 (forall @t19 (or @t18 @t411 @t410 @t105))) % 0.84/1.10 (assume @p329 (forall @t19 (or @t18 @t411 @t250 @t137))) % 0.84/1.10 (assume @p330 (forall @t203 (or @t10 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR @t25 @t42 @t1) @t109 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR @t412 @t199 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t412 @t14 @t1) @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t199 @t1) @t1))))) % 0.84/1.10 (assume @p331 (forall (@list @t1 @t11 @t163 @t14 @t123) (or @t342 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Polynomial_Omonom @t11 @t163 @t1) @t391 @t337) (tptp.c_Polynomial_Omonom @t121 @t164 @t1))))) % 0.84/1.10 (assume @p332 (forall @t48 (or @t144 @t143 @t56))) % 0.84/1.10 (assume @p333 (forall @t48 (or @t146 @t145 @t56))) % 0.84/1.10 (assume @p334 (forall @t6 (or @t413 (= (tptp.c_RealVector_Onorm__class_Onorm @t33 @t1) @t132)))) % 0.84/1.10 (assume @p335 (forall @t416 (= @t415 @t414))) % 0.84/1.10 (assume @p336 (not (= @t7 @t132))) % 0.84/1.10 (assume @p337 (forall @t6 (or @t34 (not (= @t2 @t33))))) % 0.84/1.10 (assume @p338 (forall @t48 (or @t116 @t12 (not @t417)))) % 0.84/1.10 (assume @p339 (forall @t48 (or @t116 @t417 @t13))) % 0.84/1.10 (assume @p340 (forall @t31 (or @t108 (not (= @t28 @t2)) @t26 @t24))) % 0.84/1.10 (assume @p341 (forall @t31 (or @t10 (= (tptp.c_RealVector_Onorm__class_Onorm @t28 @t1) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t11 tptp.tc_RealDef_Oreal) @t111 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p342 (forall @t48 (or @t72 @t330 @t56))) % 0.84/1.10 (assume @p343 (forall @t48 (or @t72 @t136 @t56 @t332))) % 0.84/1.10 (assume @p344 (forall @t19 (or @t10 (tptp.c_lessequals @t174 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t1) tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p345 (forall (@list @t1 @t25 @t42 @t131 @t418) (or @t59 (not (= @t158 (tptp.c_HOL_Oplus__class_Oplus @t42 @t418 @t1))) (= @t167 @t418)))) % 0.84/1.10 (assume @p346 (forall @t420 (or @t179 (tptp.c_HOL_Oord__class_Oless @t320 @t33 @t1) @t419 @t137))) % 0.84/1.10 (assume @p347 (forall @t118 (or @t72 @t376 @t137 @t421))) % 0.84/1.10 (assume @p348 (forall @t118 (or @t72 @t422 @t137 @t262))) % 0.84/1.10 (assume @p349 (forall @t118 (or @t72 @t376 @t15 @t421))) % 0.84/1.10 (assume @p350 (forall @t118 (or @t72 @t422 @t15 @t262))) % 0.84/1.10 (assume @p351 (forall @t420 (or @t40 (tptp.c_lessequals @t2 @t423 @t1)))) % 0.84/1.10 (assume @p352 (forall @t19 (or @t18 (tptp.c_lessequals @t2 @t16 @t1) @t250 @t105))) % 0.84/1.10 (assume @p353 (forall @t318 (or @t246 (tptp.c_lessequals @t99 @t324 @t1) @t314 @t117))) % 0.84/1.10 (assume @p354 (forall (@list @t25 @t81 @t42) (or @t285 (not (tptp.c_lessequals @t130 (tptp.c_HOL_Otimes__class_Otimes @t81 (tptp.c_HOL_Oabs__class_Oabs @t42 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) @t424))) % 0.84/1.10 (assume @p355 (forall @t48 (or @t72 @t32 @t104 (not @t425)))) % 0.84/1.10 (assume @p356 (forall @t48 (or @t72 @t32 @t425 @t105))) % 0.84/1.10 (assume @p357 (forall @t48 (or @t47 @t104 (not @t426)))) % 0.84/1.10 (assume @p358 (forall @t48 (or @t47 @t426 @t105))) % 0.84/1.10 (assume @p359 (forall @t260 (tptp.c_HOL_Oord__class_Oless @t7 (tptp.c_HOL_Oplus__class_Oplus @t132 @t130 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.84/1.10 (assume @p360 (forall @t395 (or @t65 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t429 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs @t428 @t1) (tptp.c_HOL_Oabs__class_Oabs @t427 @t1) @t1) @t1)))) % 0.84/1.10 (assume @p361 (forall @t103 (or @t102 @t101 @t176 @t106 @t137))) % 0.84/1.10 (assume @p362 (forall @t420 (or @t40 @t430 @t105))) % 0.84/1.10 (assume @p363 (forall @t420 (or @t179 @t430 @t105))) % 0.84/1.10 (assume @p364 (forall @t48 (or @t47 @t12 @t432))) % 0.84/1.10 (assume @p365 (forall @t48 (or @t47 @t431 @t13))) % 0.84/1.10 (assume @p366 (forall @t48 (or @t47 @t104 @t434))) % 0.84/1.10 (assume @p367 (forall @t48 (or @t47 @t433 @t105))) % 0.84/1.10 (assume @p368 (forall @t48 (or @t310 @t12 @t432))) % 0.84/1.10 (assume @p369 (forall @t48 (or @t310 @t431 @t13))) % 0.84/1.10 (assume @p370 (forall @t48 (or @t310 @t104 @t434))) % 0.84/1.10 (assume @p371 (forall @t48 (or @t310 @t433 @t105))) % 0.84/1.10 (assume @p372 (forall (@list @t1 @t11 @t78 @t81 @t14) (or @t112 (= @t86 (tptp.c_HOL_Oplus__class_Oplus @t83 @t93 @t1))))) % 0.84/1.10 (assume @p373 (forall @t420 (or @t179 (tptp.c_lessequals @t33 @t178 @t1) (not (tptp.c_lessequals @t33 @t11 @t1))))) % 0.84/1.10 (assume @p374 (forall @t48 (or @t65 (= (tptp.c_HOL_Oabs__class_Oabs @t35 @t1) @t35)))) % 0.84/1.10 (assume @p375 (forall @t416 (= @t415 @t435))) % 0.84/1.10 (assume @p376 (forall @t416 (= @t414 @t435))) % 0.84/1.10 (assume @p377 (forall @t89 (or @t112 @t436 (= @t93 @t77)))) % 0.84/1.10 (assume @p378 (forall @t89 (or @t112 @t436 (= @t81 @t80)))) % 0.84/1.10 (assume @p379 (forall @t48 (or @t65 (tptp.c_HOL_Oord__class_Oless @t2 @t35 @t1) @t56))) % 0.84/1.10 (assume @p380 (forall @t133 (= (tptp.c_Complex_Ocnj @t437) @t131))) % 0.84/1.10 (assume @p381 (forall @t19 (or @t10 (tptp.c_lessequals @t174 @t172 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p382 (forall @t439 (or @t10 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t11 @t438 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t129 @t109 @t1))))) % 0.84/1.10 (assume @p383 (forall @t206 (or @t108 (= @t205 (tptp.c_RealVector_OscaleR__class_OscaleR @t14 @t28 @t1))))) % 0.84/1.10 (assume @p384 (forall (@list @t1 @t440 @t129 @t25) (or @t10 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t440 @t441 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t129 (tptp.c_RealVector_OscaleR__class_OscaleR @t440 @t25 @t1) @t1))))) % 0.84/1.10 (assume @p385 (not (tptp.c_HOL_Oord__class_Oless @t7 @t442 tptp.tc_RealDef_Oreal))) % 0.84/1.10 (assume @p386 (forall (@list @t1 @t11 @t81) (or @t159 (= @t99 @t244)))) % 0.84/1.10 (assume @p387 (forall @t416 (= @t164 (tptp.c_HOL_Oplus__class_Oplus @t123 @t163 tptp.tc_nat)))) % 0.84/1.10 (assume @p388 (forall @t55 (or @t159 (= @t53 (tptp.c_HOL_Oplus__class_Oplus @t42 @t25 @t1))))) % 0.84/1.10 (assume @p389 (forall @t19 (or @t101 (= @t16 @t406)))) % 0.84/1.10 (assume @p390 (forall @t6 (or @t10 (= @t113 @t7)))) % 0.84/1.10 (assume @p391 (forall @t118 (or @t72 @t97 @t137 @t443))) % 0.84/1.10 (assume @p392 (forall @t118 (or @t72 @t444 @t137 @t117))) % 0.84/1.10 (assume @p393 (forall @t91 (or @t88 @t389 @t445))) % 0.84/1.10 (assume @p394 (forall @t89 (or @t88 @t390 (not @t446)))) % 0.84/1.10 (assume @p395 (forall @t95 (or @t88 @t446 @t445))) % 0.84/1.10 (assume @p396 (forall @t6 (or @t5 (not (tptp.c_HOL_Oord__class_Oless @t2 @t4 @t1))))) % 0.84/1.10 (assume @p397 (forall @t318 (or @t388 @t387 @t96 @t105 @t357 @t262))) % 0.84/1.10 (assume @p398 (forall @t55 (or @t5 (not (tptp.c_HOL_Oord__class_Oless @t74 @t2 @t1))))) % 0.84/1.10 (assume @p399 (forall @t154 (or @t388 @t261 @t96 @t448))) % 0.84/1.10 (assume @p400 (forall @t154 (or @t388 @t261 @t96 @t450))) % 0.84/1.10 (assume @p401 (forall @t154 (or @t451 @t261 @t96 @t448))) % 0.84/1.10 (assume @p402 (forall @t154 (or @t451 @t261 @t96 @t450))) % 0.84/1.10 (assume @p403 (forall @t318 (or @t388 @t387 @t96 @t410 @t357 @t262))) % 0.84/1.10 (assume @p404 (forall @t154 (or @t388 @t115 @t386 (not @t282)))) % 0.84/1.10 (assume @p405 (forall @t154 (or @t388 @t115 @t386 @t452))) % 0.84/1.10 (assume @p406 (forall @t247 (or @t5 @t278 @t117 @t386))) % 0.84/1.10 (assume @p407 (forall @t154 (or @t5 @t115 @t452 @t386))) % 0.84/1.10 (assume @p408 (forall @t247 (or @t5 @t278 @t98 @t454))) % 0.84/1.10 (assume @p409 (forall @t103 (or @t5 @t97 @t452 @t454))) % 0.84/1.10 (assume @p410 (forall @t55 (or @t5 @t455 @t50))) % 0.84/1.10 (assume @p411 (forall @t55 (or @t5 @t455 @t26))) % 0.84/1.10 (assume @p412 (tptp.c_HOL_Oord__class_Oless @t7 @t458 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p413 (forall @t19 (or @t112 (= @t460 @t459)))) % 0.84/1.10 (assume @p414 (forall @t48 (or @t462 @t461))) % 0.84/1.10 (assume @p415 (forall @t212 (or @t462 @t463))) % 0.84/1.10 (assume @p416 (forall @t48 (or @t464 @t461))) % 0.84/1.10 (assume @p417 (forall @t48 (or @t464 @t465))) % 0.84/1.10 (assume @p418 (forall @t60 (or @t159 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t25 @t1) @t2)))) % 0.84/1.10 (assume @p419 (forall @t60 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t25 @t2 @t1) @t2)))) % 0.84/1.10 (assume @p420 (forall @t48 (or @t202 @t461))) % 0.84/1.10 (assume @p421 (forall @t212 (or @t202 @t463))) % 0.84/1.10 (assume @p422 (forall (@list @t1 @t42) (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t42 @t1) @t2)))) % 0.84/1.10 (assume @p423 (forall @t48 (or @t159 @t461))) % 0.84/1.10 (assume @p424 (forall @t48 (or @t159 @t465))) % 0.84/1.10 (assume @p425 (forall @t48 (or @t40 (= (tptp.c_HOL_Otimes__class_Otimes @t35 @t35 @t1) @t298)))) % 0.84/1.10 (assume @p426 (forall (@list @t1 @t149 @t42 @t25 @t131) (or @t63 @t62 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t149 @t42 @t1) @t466 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t149 @t131 @t1) @t201 @t1))) @t402 (= @t149 @t25)))) % 0.84/1.10 (assume @p427 (forall @t318 (or @t63 @t62 (not (= (tptp.c_HOL_Oplus__class_Oplus @t281 @t315 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t11 @t77 @t1) @t280 @t1))) @t284 @t217))) % 0.84/1.10 (assume @p428 (forall (@list @t1 @t25 @t11 @t42) (or @t468 (= (tptp.c_HOL_Otimes__class_Otimes @t25 @t240 @t1) @t467)))) % 0.84/1.10 (assume @p429 (forall @t242 (or @t468 (= (tptp.c_HOL_Otimes__class_Otimes @t28 @t42 @t1) @t467)))) % 0.84/1.10 (assume @p430 (forall (@list @t1 @t184 @t129 @t25) (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t184 @t441 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t129 @t469 @t1))))) % 0.84/1.10 (assume @p431 (forall @t439 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t438 @t1) @t470)))) % 0.84/1.10 (assume @p432 (forall (@list @t1 @t129 @t25 @t42) (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t441 @t42 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t129 @t201 @t1))))) % 0.84/1.10 (assume @p433 (forall (@list @t1 @t129 @t11 @t14) (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR @t129 @t11 @t1) @t14 @t1) @t470)))) % 0.84/1.10 (assume @p434 (forall @t19 (or @t313 @t32 (= @t408 (tptp.c_HOL_Otimes__class_Otimes @t142 @t289 @t1))))) % 0.84/1.10 (assume @p435 (forall @t19 (or @t112 (= (tptp.c_HOL_Otimes__class_Otimes @t38 @t110 @t1) @t121)))) % 0.84/1.10 (assume @p436 (forall @t212 (or @t63 (= (tptp.c_HOL_Otimes__class_Otimes @t110 @t110 @t1) @t471)))) % 0.84/1.10 (assume @p437 (forall (@list @t1 @t184 @t25) (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t184 @t107 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t469 @t1))))) % 0.84/1.10 (assume @p438 (forall @t19 (or @t202 (= @t459 @t472)))) % 0.84/1.10 (assume @p439 (forall @t55 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t107 @t42 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t201 @t1))))) % 0.84/1.10 (assume @p440 (forall @t19 (or @t202 (= @t460 @t472)))) % 0.84/1.10 (assume @p441 (forall (@list @t1 @t11 @t163 @t14) (or @t159 (= (tptp.c_HOL_Oplus__class_Oplus @t473 (tptp.c_HOL_Otimes__class_Otimes @t14 @t163 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t16 @t163 @t1))))) % 0.84/1.10 (assume @p442 (forall @t154 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t474))) % 0.84/1.10 (assume @p443 (forall @t160 (or @t159 (= (tptp.c_HOL_Otimes__class_Otimes @t25 @t157 @t1) @t475)))) % 0.84/1.10 (assume @p444 (forall @t231 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t11 @t229 @t1) @t14 @t1) (tptp.c_HOL_Oplus__class_Oplus @t121 @t476 @t1))))) % 0.84/1.10 (assume @p445 (forall @t480 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t53 @t477 @t1) (tptp.c_HOL_Oplus__class_Oplus @t479 @t478 @t1))))) % 0.84/1.10 (assume @p446 (forall @t239 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t334 @t1) (tptp.c_HOL_Oplus__class_Oplus @t121 @t481 @t1))))) % 0.84/1.10 (assume @p447 (forall @t483 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t184 @t53 @t1) (tptp.c_HOL_Oplus__class_Oplus @t469 @t482 @t1))))) % 0.84/1.10 (assume @p448 (forall @t154 (or @t159 @t474))) % 0.84/1.10 (assume @p449 (forall @t19 (or @t112 (= @t472 @t459)))) % 0.84/1.10 (assume @p450 (forall @t19 (or @t112 (= @t472 @t460)))) % 0.84/1.10 (assume @p451 (forall @t19 (or @t40 @t251))) % 0.84/1.10 (assume @p452 (forall @t19 (or @t462 @t484 @t291 @t56))) % 0.84/1.10 (assume @p453 (forall @t19 (or @t485 @t484 @t291 @t56))) % 0.84/1.10 (assume @p454 (forall @t19 (or @t485 @t484 @t56 @t291))) % 0.84/1.10 (assume @p455 (forall @t19 (or @t63 (not (= @t298 @t471)) @t486 @t217))) % 0.84/1.10 (assume @p456 @t491) % 0.84/1.10 (assume @p457 (forall @t48 (or @t489 @t492))) % 0.84/1.10 (assume @p458 (forall @t48 (or @t493 @t492))) % 0.84/1.10 (assume @p459 (forall @t60 (or @t159 (= (tptp.c_HOL_Otimes__class_Otimes @t33 @t25 @t1) @t25)))) % 0.84/1.10 (assume @p460 (forall @t48 (or @t159 @t488))) % 0.84/1.10 (assume @p461 (forall @t48 (or @t159 @t492))) % 0.84/1.10 (assume @p462 (forall @t160 (or @t63 @t62 (= @t475 (tptp.c_HOL_Oplus__class_Oplus @t466 @t201 @t1))))) % 0.84/1.10 (assume @p463 (forall (@list @t1 @t25 @t81 @t77) (or @t63 @t62 (= (tptp.c_HOL_Oplus__class_Oplus @t494 @t495 @t1) (tptp.c_HOL_Oplus__class_Oplus @t495 @t494 @t1))))) % 0.84/1.10 (assume @p464 (forall (@list @t1 @t11 @t78 @t14 @t81) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t85 (tptp.c_HOL_Oplus__class_Oplus @t83 @t81 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t16 @t78 @t1) @t81 @t1))))) % 0.84/1.10 (assume @p465 (forall @t483 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t184 @t241 @t1) (tptp.c_HOL_Ominus__class_Ominus @t469 @t482 @t1))))) % 0.84/1.10 (assume @p466 (forall @t239 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t238 @t1) (tptp.c_HOL_Ominus__class_Ominus @t121 @t481 @t1))))) % 0.84/1.10 (assume @p467 (forall @t231 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t11 @t229 @t1) @t14 @t1) (tptp.c_HOL_Ominus__class_Ominus @t121 @t476 @t1))))) % 0.84/1.10 (assume @p468 (forall @t480 (or @t202 (= (tptp.c_HOL_Otimes__class_Otimes @t241 @t477 @t1) (tptp.c_HOL_Ominus__class_Ominus @t479 @t478 @t1))))) % 0.84/1.10 (assume @p469 (forall (@list @t1 @t11 @t14 @t339) (or @t342 (= (tptp.c_Polynomial_Osmult @t11 (tptp.c_Polynomial_Osmult @t14 @t339 @t1) @t1) (tptp.c_Polynomial_Osmult @t121 @t339 @t1))))) % 0.84/1.10 (assume @p470 (forall @t420 (or @t179 (tptp.c_HOL_Oord__class_Oless @t33 @t320 @t1) @t496))) % 0.84/1.10 (assume @p471 (forall @t392 (or @t179 @t261 @t250 (not (tptp.c_HOL_Oord__class_Oless @t178 @t177 @t1))))) % 0.84/1.10 (assume @p472 (forall @t420 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= @t497 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower @t300 @t123 @t1) @t178 @t1))))) % 0.84/1.10 (assume @p473 (forall @t48 (or @t489 (= (tptp.c_Power_Opower__class_Opower @t11 @t134 @t1) @t11)))) % 0.84/1.10 (assume @p474 (forall @t60 (or @t159 (= (tptp.c_Power_Opower__class_Opower @t25 @t134 @t1) @t25)))) % 0.84/1.10 (assume @p475 (forall @t126 (or @t489 (= (tptp.c_Power_Opower__class_Opower @t33 @t123 @t1) @t33)))) % 0.84/1.10 (assume @p476 (forall @t420 (or @t146 @t32 @t498))) % 0.84/1.10 (assume @p477 (forall @t420 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t499 @t56))) % 0.84/1.10 (assume @p478 (forall @t420 (or @t34 @t485 @t464 @t125 @t499 @t56))) % 0.84/1.10 (assume @p479 (forall @t420 (or @t40 (= @t500 @t423)))) % 0.84/1.10 (assume @p480 (forall @t55 (or @t202 (tptp.c_lessequals @t503 @t502 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p481 (forall @t44 (or @t189 @t345))) % 0.84/1.10 (assume @p482 (forall @t44 (or @t344 @t218 @t190))) % 0.84/1.10 (assume @p483 (forall (@list @t1 @t123 @t339 @t25) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t1)) (= (tptp.c_Polynomial_Opoly (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Polynomial_Omonom @t33 @t123 @t1) @t339 @t337) @t25 @t1) (tptp.c_HOL_Otimes__class_Otimes @t186 @t504 @t1))))) % 0.84/1.10 (assume @p484 (forall @t60 (or @t10 (tptp.c_HOL_Oord__class_Oless @t7 @t111 tptp.tc_RealDef_Oreal) @t26))) % 0.84/1.10 (assume @p485 (forall @t509 (or @t10 (tptp.c_HOL_Oord__class_Oless @t508 (tptp.c_HOL_Oplus__class_Oplus @t129 @t506 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t507 @t505))) % 0.84/1.10 (assume @p486 (forall @t6 (or @t10 (not (tptp.c_HOL_Oord__class_Oless @t7 @t113 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p487 (forall @t60 (or @t10 (= (tptp.c_RealVector_Onorm__class_Onorm @t107 @t1) @t111)))) % 0.84/1.10 (assume @p488 (forall @t48 (or @t10 (= (tptp.c_HOL_Oabs__class_Oabs @t141 tptp.tc_RealDef_Oreal) @t141)))) % 0.84/1.10 (assume @p489 (forall @t19 (or @t10 (= @t172 (tptp.c_RealVector_Onorm__class_Onorm @t79 @t1))))) % 0.84/1.10 (assume @p490 (forall @t133 (= (tptp.c_RealVector_Onorm__class_Onorm @t437 tptp.tc_Complex_Ocomplex) @t510))) % 0.84/1.10 (assume @p491 (forall @t44 (= (tptp.c_Complex_Ocnj (tptp.c_HOL_Otimes__class_Otimes @t25 @t42 tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Otimes__class_Otimes @t271 @t270 tptp.tc_Complex_Ocomplex)))) % 0.84/1.10 (assume @p492 (forall @t260 (= (tptp.c_Complex_Ocnj @t511) @t511))) % 0.84/1.10 (assume @p493 (forall @t118 (or @t72 @t97 @t15 @t443))) % 0.84/1.10 (assume @p494 (forall @t118 (or @t72 @t444 @t15 @t117))) % 0.84/1.10 (assume @p495 (forall (@list @t25 @t42 @t512 @t418) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t268 @t42 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t515 @t418 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t514 @t513 @t41))) % 0.84/1.10 (assume @p496 (forall (@list @t42 @t25 @t418 @t512) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t42 @t268 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t418 @t515 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t514 @t513 @t41))) % 0.84/1.10 (assume @p497 (forall @t55 (or @t9 @t517))) % 0.84/1.10 (assume @p498 (forall @t55 (or @t10 @t9 @t517))) % 0.84/1.10 (assume @p499 (forall (@list @t81 @t11 @t14) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t81 @t11 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t81 @t14 tptp.tc_RealDef_Oreal))) @t518 @t217))) % 0.84/1.10 (assume @p500 (forall (@list @t11 @t81 @t14) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t81 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t14 @t81 tptp.tc_RealDef_Oreal))) @t518 @t217))) % 0.84/1.10 (assume @p501 (forall @t60 (or @t72 @t32 @t71 (not @t185)))) % 0.84/1.10 (assume @p502 (forall (@list @t1 @t163) (or @t159 (= (tptp.c_HOL_Oplus__class_Oplus @t163 @t163 @t1) (tptp.c_HOL_Otimes__class_Otimes @t311 @t163 @t1))))) % 0.84/1.10 (assume @p503 (forall (@list @t520 @t519) (or (not (= (tptp.c_Suc @t520) (tptp.c_Suc @t519))) (= @t520 @t519)))) % 0.84/1.10 (assume @p504 (forall @t44 (or (not (= (tptp.c_Suc @t25) (tptp.c_Suc @t42))) @t218))) % 0.84/1.10 (assume @p505 (forall @t48 (or @t65 (tptp.c_lessequals @t38 @t35 @t1)))) % 0.84/1.10 (assume @p506 (forall @t48 (or @t65 (tptp.c_lessequals @t11 @t35 @t1)))) % 0.84/1.10 (assume @p507 (forall @t19 (or @t61 @t521 (= @t38 @t14)))) % 0.84/1.10 (assume @p508 (forall @t19 (or @t61 @t521 @t486))) % 0.84/1.10 (assume @p509 (forall @t6 (or @t179 (not (tptp.c_HOL_Oord__class_Oless @t33 @t2 @t1))))) % 0.84/1.10 (assume @p510 (forall @t420 (or @t146 @t498 @t56))) % 0.84/1.10 (assume @p511 (forall @t48 (or @t146 @t296 @t56))) % 0.84/1.10 (assume @p512 (forall @t6 (or @t179 (tptp.c_lessequals @t2 @t33 @t1)))) % 0.84/1.10 (assume @p513 (forall @t420 (or @t40 (= (tptp.c_HOL_Oabs__class_Oabs @t497 @t1) @t500)))) % 0.84/1.10 (assume @p514 (= (tptp.c_Complex_Ocnj @t522) @t522)) % 0.84/1.10 (assume @p515 (forall (@list @t1 @t11 @t163) (or @t159 (= (tptp.c_HOL_Oplus__class_Oplus @t473 @t163 @t1) @t523)))) % 0.84/1.10 (assume @p516 (forall (@list @t1 @t163 @t11) (or @t159 (= (tptp.c_HOL_Oplus__class_Oplus @t163 @t473 @t1) @t523)))) % 0.84/1.10 (assume @p517 (forall (@list @t1 @t25 @t129) (or @t144 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t27 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t129 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t7 @t129 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t129 @t111 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p518 (forall @t260 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus @t130 @t132 tptp.tc_RealDef_Oreal) @t25 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p519 (forall @t323 (or @t40 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t42 @t1) @t25 @t1) (tptp.c_HOL_Oabs__class_Oabs @t400 @t1)) @t51))) % 0.84/1.10 (assume @p520 (forall @t60 (or @t72 @t32 @t308 @t208))) % 0.84/1.10 (assume @p521 (forall @t19 (or @t18 @t411 @t410 @t137))) % 0.84/1.10 (assume @p522 (forall @t55 (or @t10 (tptp.c_lessequals @t508 (tptp.c_HOL_Oplus__class_Oplus @t111 @t501 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p523 (forall @t6 (or @t179 (not (tptp.c_lessequals @t33 @t2 @t1))))) % 0.84/1.10 (assume @p524 (forall @t48 (or @t72 @t32 @t20 @t273))) % 0.84/1.10 (assume @p525 (forall @t48 (or @t72 @t32 @t272 @t21))) % 0.84/1.10 (assume @p526 (forall @t48 (or @t72 @t272 @t21))) % 0.84/1.10 (assume @p527 (forall @t44 (or @t189 (not @t524)))) % 0.84/1.10 (assume @p528 (forall @t44 (or @t524 @t190))) % 0.84/1.10 (assume @p529 (forall @t19 (or @t116 @t525 @t117))) % 0.84/1.10 (assume @p530 (forall @t19 (or @t116 @t115 (not @t525)))) % 0.84/1.10 (assume @p531 (forall (@list @t1 @t131 @t42) (or @t59 (= (tptp.c_HOL_Oplus__class_Oplus @t336 @t157 @t1) @t42)))) % 0.84/1.10 (assume @p532 (forall @t19 (or @t61 (= (tptp.c_HOL_Oplus__class_Oplus @t38 @t16 @t1) @t14)))) % 0.84/1.10 (assume @p533 (forall @t260 (or (tptp.c_HOL_Oord__class_Oless @t132 @t268 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t25 @t132 tptp.tc_RealDef_Oreal)) @t41))) % 0.84/1.10 (assume @p534 (forall @t6 (or @t313 @t32 @t526))) % 0.84/1.10 (assume @p535 (forall @t60 (or @t72 @t32 @t257 (not @t393) @t307))) % 0.84/1.10 (assume @p536 (forall @t6 (or @t146 @t526))) % 0.84/1.10 (assume @p537 (forall @t55 (or @t9 @t527))) % 0.84/1.10 (assume @p538 (forall @t55 (or @t10 @t9 @t527))) % 0.84/1.10 (assume @p539 (forall @t60 (or @t30 @t269 @t285))) % 0.84/1.10 (assume @p540 (forall @t19 (or @t116 @t528 @t262))) % 0.84/1.10 (assume @p541 (forall @t19 (or @t116 @t261 (not @t528)))) % 0.84/1.10 (assume @p542 (forall @t48 (or @t65 (not (tptp.c_HOL_Oord__class_Oless @t35 @t2 @t1))))) % 0.84/1.10 (assume @p543 (forall @t6 (or @t179 (tptp.c_HOL_Oord__class_Oless @t2 @t33 @t1)))) % 0.84/1.10 (assume @p544 (forall @t6 (or @t61 (= @t2 @t529)))) % 0.84/1.10 (assume @p545 (forall @t392 (or @t179 @t115 @t250 (not (tptp.c_lessequals @t320 @t319 @t1))))) % 0.84/1.10 (assume @p546 (forall @t395 (or @t10 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t429 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm @t428 @t1) (tptp.c_RealVector_Onorm__class_Onorm @t427 @t1) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p547 (forall @t48 (or @t146 @t32 @t530 @t56))) % 0.84/1.10 (assume @p548 (forall @t48 (or @t146 @t530 @t56))) % 0.84/1.10 (assume @p549 (forall @t44 (or (not (= @t271 @t270)) @t218))) % 0.84/1.10 (assume @p550 (forall @t19 (or @t65 (tptp.c_lessequals @t139 @t171 @t1)))) % 0.84/1.10 (assume @p551 (forall @t6 (or @t61 @t531))) % 0.84/1.10 (assume @p552 (forall @t6 (or @t310 @t531))) % 0.84/1.10 (assume @p553 (forall @t48 (or @t47 @t12 (not @t532)))) % 0.84/1.10 (assume @p554 (forall @t48 (or @t47 @t532 @t13))) % 0.84/1.10 (assume @p555 (forall (@list @t129) (or (= @t533 @t129) (tptp.c_HOL_Oord__class_Oless @t129 @t7 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p556 (forall @t48 (or @t68 @t67 @t228 @t20))) % 0.84/1.10 (assume @p557 (forall @t48 (or @t66 @t228 @t20))) % 0.84/1.10 (assume @p558 (forall @t19 (or @t59 (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t110 @t1) @t354)))) % 0.84/1.10 (assume @p559 (forall @t19 (or @t65 (= (tptp.c_HOL_Oabs__class_Oabs @t171 @t1) @t171)))) % 0.84/1.10 (assume @p560 (forall @t48 (or @t65 (not (= @t35 @t2)) @t56))) % 0.84/1.10 (assume @p561 (forall @t6 (or @t65 (not (tptp.c_HOL_Oord__class_Oless @t2 @t151 @t1))))) % 0.84/1.10 (assume @p562 (forall @t60 (or @t371 @t381))) % 0.84/1.10 (assume @p563 (forall @t60 (or @t227 @t381))) % 0.84/1.10 (assume @p564 (forall (@list @t535 @t161 @t534) (or (tptp.c_lessequals @t535 @t161 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t534 @t161 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t535 @t534 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p565 (forall (@list @t149) (tptp.c_lessequals @t149 @t149 tptp.tc_RealDef_Oreal))) % 0.84/1.10 (assume @p566 (forall (@list @t1 @t11 @t14 @t77 @t81) (or @t116 (tptp.c_lessequals @t11 @t324 @t1) @t314 (not (tptp.c_lessequals @t11 @t152 @t1))))) % 0.84/1.10 (assume @p567 (forall @t372 (or @t371 (tptp.c_lessequals @t25 @t131 @t1) @t369 @t224))) % 0.84/1.10 (assume @p568 (forall @t19 (or @t18 @t255 @t23 @t13))) % 0.84/1.10 (assume @p569 (forall @t365 (or @t227 (tptp.c_lessequals @t131 @t25 @t1) @t363 @t226))) % 0.84/1.10 (assume @p570 (forall @t60 (or @t72 @t32 @t215 (not @t326)))) % 0.84/1.10 (assume @p571 (forall @t55 (or @t108 (= @t213 (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t42 @t1))))) % 0.84/1.10 (assume @p572 (forall @t19 (or @t108 (= @t210 (tptp.c_RealVector_OscaleR__class_OscaleR @t14 @t2 @t1))))) % 0.84/1.10 (assume @p573 (forall @t19 (or @t146 (= @t396 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t142 @t79 @t1) @t289 @t1)) @t291 @t56))) % 0.84/1.10 (assume @p574 (forall (@list @t1 @t25 @t81 @t42) (or @t10 @t26 (not (tptp.c_lessequals @t111 (tptp.c_HOL_Otimes__class_Otimes @t81 @t501 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) @t424))) % 0.84/1.10 (assume @p575 (forall @t242 (or @t108 (not (= @t28 @t240)) @t24 @t218))) % 0.84/1.10 (assume @p576 (forall (@list @t1 @t11 @t25 @t14) (or @t108 (not (= @t28 @t204)) @t26 @t217))) % 0.84/1.10 (assume @p577 (= (tptp.c_HOL_Oplus__class_Oplus @t442 @t442 tptp.tc_RealDef_Oreal) @t7)) % 0.84/1.10 (assume @p578 (forall @t6 (or @t5 (= @t4 @t2)))) % 0.84/1.10 (assume @p579 (forall @t351 (or @t40 @t350 @t328))) % 0.84/1.10 (assume @p580 (forall @t260 (or @t285 (tptp.c_HOL_Oord__class_Oless @t7 @t75 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p581 (forall @t48 (or @t116 @t20 (not @t536)))) % 0.84/1.10 (assume @p582 (forall @t48 (or @t116 @t536 @t21))) % 0.84/1.10 (assume @p583 (forall @t537 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t149 tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus @t149 @t131 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) @t510 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.84/1.10 (assume @p584 (forall (@list @t25 @t42 @t123) (or @t189 (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower @t25 @t124 tptp.tc_RealDef_Oreal) (tptp.c_Power_Opower__class_Opower @t42 @t124 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t7 @t42 tptp.tc_RealDef_Oreal)) @t274))) % 0.84/1.10 (assume @p585 (forall @t48 (or @t40 @t20 (not @t538)))) % 0.84/1.10 (assume @p586 (forall @t48 (or @t40 @t538 @t21))) % 0.84/1.10 (assume @p587 (forall @t48 (or @t65 (tptp.c_lessequals @t2 @t35 @t1)))) % 0.84/1.10 (assume @p588 (forall @t180 (or (not (tptp.class_HOL_Ozero @t1)) (not (= @t539 @t391)) @t217))) % 0.84/1.10 (assume @p589 (forall @t19 (or @t61 (= @t540 (tptp.c_HOL_Oplus__class_Oplus @t110 @t38 @t1))))) % 0.84/1.10 (assume @p590 (forall @t19 (or @t59 (= @t540 (tptp.c_HOL_Oplus__class_Oplus @t38 @t110 @t1))))) % 0.84/1.10 (assume @p591 (forall @t323 (or @t68 @t225 @t223))) % 0.84/1.10 (assume @p592 (forall @t537 (or @t222 @t221))) % 0.84/1.10 (assume @p593 (forall @t541 (= (tptp.c_Complex_Ocnj (tptp.c_Power_Opower__class_Opower @t25 @t123 tptp.tc_Complex_Ocomplex)) (tptp.c_Power_Opower__class_Opower @t271 @t123 tptp.tc_Complex_Ocomplex)))) % 0.84/1.10 (assume @p594 @t545) % 0.84/1.10 (assume @p595 (tptp.c_HOL_Oord__class_Oless tptp.v_t____ @t458 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p596 (forall @t420 (or @t179 (tptp.c_HOL_Oord__class_Oless @t546 @t178 @t1) @t419 @t137))) % 0.84/1.10 (assume @p597 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus @t522 (tptp.c_HOL_Otimes__class_Otimes @t549 (tptp.c_HOL_Oplus__class_Oplus tptp.v_a____ (tptp.c_HOL_Otimes__class_Otimes @t547 @t548 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t132 @t542 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t550 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p598 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower tptp.v_w____ tptp.v_k____ tptp.tc_Complex_Ocomplex) tptp.v_a____ tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Ouminus__class_Ouminus @t522 tptp.tc_Complex_Ocomplex))) % 0.84/1.10 (assume @p599 (forall @t247 (or @t5 @t453 @t261 @t448))) % 0.84/1.10 (assume @p600 (forall @t103 (or @t5 @t376 @t385 @t448))) % 0.84/1.10 (assume @p601 (forall @t247 (or @t5 @t453 @t261 @t450))) % 0.84/1.10 (assume @p602 (forall @t103 (or @t5 @t376 @t385 @t450))) % 0.84/1.10 (assume @p603 (forall @t48 (or @t5 (not (tptp.c_HOL_Oord__class_Oless @t298 @t2 @t1))))) % 0.84/1.10 (assume @p604 (forall @t247 (or @t5 @t453 @t385 @t448))) % 0.84/1.10 (assume @p605 (forall @t247 (or @t5 @t453 @t385 @t450))) % 0.84/1.10 (assume @p606 (forall @t118 (or @t388 (tptp.c_HOL_Oord__class_Oless @t407 @t2 @t1) @t15 @t137))) % 0.84/1.10 (assume @p607 (forall @t19 (or @t388 @t551 @t15 @t137))) % 0.84/1.10 (assume @p608 (forall @t19 (or @t388 @t551 @t410 @t21))) % 0.84/1.10 (assume @p609 (forall @t118 (or @t388 @t409 @t137 (not (tptp.c_HOL_Oord__class_Oless @t2 @t407 @t1))))) % 0.84/1.10 (assume @p610 (forall @t118 (or @t388 @t409 @t137 (not @t552)))) % 0.84/1.10 (assume @p611 (forall @t19 (or @t388 @t552 @t410 @t137))) % 0.84/1.10 (assume @p612 (forall @t19 (or @t5 @t552 @t15 @t21))) % 0.84/1.10 (assume @p613 (forall @t395 (or @t40 (tptp.c_HOL_Oord__class_Oless @t120 (tptp.c_HOL_Otimes__class_Otimes @t81 @t77 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t119 @t77 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t35 @t81 @t1))))) % 0.84/1.10 (assume @p614 (forall @t247 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t449 @t386 @t262))) % 0.84/1.10 (assume @p615 (forall @t216 (or @t5 @t447 @t553 @t454))) % 0.84/1.10 (assume @p616 (forall @t216 (or @t5 @t447 @t262 @t386))) % 0.84/1.10 (assume @p617 (forall @t216 (or @t388 @t447 @t386 @t262))) % 0.84/1.10 (assume @p618 (forall @t216 (or @t5 @t447 @t454 @t553))) % 0.84/1.10 (assume @p619 (forall @t247 (or @t5 @t449 @t553 @t454))) % 0.84/1.10 (assume @p620 (forall @t247 (or @t5 @t449 @t262 @t386))) % 0.84/1.10 (assume @p621 (forall @t247 (or @t388 @t449 @t386 @t262))) % 0.84/1.10 (assume @p622 (forall @t247 (or @t5 @t449 @t454 @t553))) % 0.84/1.10 (assume @p623 (forall @t154 (or @t5 @t261 @t450 @t386))) % 0.84/1.10 (assume @p624 (forall @t103 (or @t5 @t376 @t450 @t454))) % 0.84/1.10 (assume @p625 (forall (@list @t1 @t163 @t123) (or @t179 (tptp.c_HOL_Oord__class_Oless @t33 (tptp.c_HOL_Otimes__class_Otimes @t163 @t123 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t33 @t123 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t33 @t163 @t1))))) % 0.84/1.10 (assume @p626 (forall @t555 (or @t179 (not (= @t554 @t178)) @t496 @t401))) % 0.84/1.10 (assume @p627 (forall @t420 (or @t179 (tptp.c_HOL_Oord__class_Oless @t2 @t178 @t1) @t137))) % 0.84/1.10 (assume @p628 (forall @t187 (or @t40 (tptp.c_HOL_Oord__class_Oless @t25 @t2 @t1) (not (tptp.c_HOL_Oord__class_Oless @t186 @t2 @t1))))) % 0.84/1.10 (assume @p629 (forall @t558 (or @t159 (= (tptp.c_HOL_Otimes__class_Otimes @t557 @t25 @t1) @t556)))) % 0.84/1.10 (assume @p630 (forall @t558 (or @t159 (= @t559 @t556)))) % 0.84/1.10 (assume @p631 (forall (@list @t1 @t25 @t339 @t338) (or @t159 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower @t25 @t339 @t1) @t557 @t1) (tptp.c_Power_Opower__class_Opower @t25 (tptp.c_HOL_Oplus__class_Oplus @t339 @t338 tptp.tc_nat) @t1))))) % 0.84/1.10 (assume @p632 (forall @t187 (or @t159 (= (tptp.c_Power_Opower__class_Opower @t25 @t124 @t1) (tptp.c_HOL_Otimes__class_Otimes @t25 @t186 @t1))))) % 0.84/1.10 (assume @p633 (forall @t420 (or @t489 (= @t320 @t560)))) % 0.84/1.10 (assume @p634 (forall @t420 (or @t125 (= @t320 @t546)))) % 0.84/1.10 (assume @p635 (forall @t558 (or @t159 (= @t556 @t559)))) % 0.84/1.10 (assume @p636 (forall @t555 (or @t489 (= (tptp.c_Power_Opower__class_Opower @t11 @t164 @t1) (tptp.c_HOL_Otimes__class_Otimes @t554 @t178 @t1))))) % 0.84/1.10 (assume @p637 (forall @t55 (or @t144 (= @t503 @t502)))) % 0.84/1.10 (assume @p638 (forall @t60 (or @t10 (not (tptp.c_HOL_Oord__class_Oless @t111 @t7 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p639 (forall @t55 (or @t9 (= (tptp.c_RealVector_Oof__real @t43 @t1) (tptp.c_HOL_Otimes__class_Otimes @t267 @t516 @t1))))) % 0.84/1.10 (assume @p640 (forall (@list @t1 @t129 @t25) (or @t9 (= @t441 (tptp.c_HOL_Otimes__class_Otimes @t301 @t25 @t1))))) % 0.84/1.10 (assume @p641 (forall (@list @t1 @t339 @t338 @t25) (or @t342 (= (tptp.c_Polynomial_Opoly @t340 @t25 @t1) (tptp.c_HOL_Otimes__class_Otimes @t504 (tptp.c_Polynomial_Opoly @t338 @t25 @t1) @t1))))) % 0.84/1.10 (assume @p642 (forall (@list @t1 @t11 @t339 @t25) (or @t342 (= (tptp.c_Polynomial_Opoly @t343 @t25 @t1) (tptp.c_HOL_Otimes__class_Otimes @t11 @t504 @t1))))) % 0.84/1.10 (assume @p643 (forall (@list @t1 @t339 @t123 @t25) (or @t159 (= (tptp.c_Polynomial_Opoly (tptp.c_Power_Opower__class_Opower @t339 @t123 @t337) @t25 @t1) (tptp.c_Power_Opower__class_Opower @t504 @t123 @t1))))) % 0.84/1.10 (assume @p644 (forall @t302 (or @t413 (= (tptp.c_RealVector_Onorm__class_Onorm @t301 @t1) @t533)))) % 0.84/1.10 (assume @p645 (tptp.c_HOL_Oord__class_Oless tptp.v_t____ @t132 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p646 (tptp.c_HOL_Oord__class_Oless @t7 tptp.v_t____ tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p647 (forall @t133 (or (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly tptp.v_s____ @t131 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_m____ tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t510 @t456 tptp.tc_RealDef_Oreal))))) % 0.84/1.10 (assume @p648 (forall @t420 (or @t179 (tptp.c_HOL_Oord__class_Oless @t178 @t546 @t1) @t496))) % 0.84/1.10 (assume @p649 (forall @t420 (or @t179 (tptp.c_HOL_Oord__class_Oless @t33 @t546 @t1) @t496))) % 0.84/1.10 (assume @p650 (forall @t509 (or @t202 (tptp.c_HOL_Oord__class_Oless @t503 (tptp.c_HOL_Otimes__class_Otimes @t129 @t506 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t507 @t505))) % 0.84/1.10 (assume @p651 (forall (@list @t1 @t11 @t123 @t25) (or @t159 (= (tptp.c_Polynomial_Opoly @t539 @t25 @t1) (tptp.c_HOL_Otimes__class_Otimes @t11 @t186 @t1))))) % 0.84/1.10 (assume @p652 (forall @t187 (or @t413 (tptp.c_lessequals @t562 @t561 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p653 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t547 tptp.tc_Complex_Ocomplex) @t456 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p654 (forall @t19 (or @t227 @t262 @t553))) % 0.84/1.10 (assume @p655 (forall @t55 (or @t68 @t368 @t362))) % 0.84/1.10 (assume @p656 (forall @t323 (or @t371 @t362 @t368))) % 0.84/1.10 (assume @p657 (forall @t118 (or @t371 @t553 @t262))) % 0.84/1.10 (assume @p658 (forall @t541 (= (tptp.c_Power_Opower__class_Opower @t511 @t123 tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Oof__real @t563 tptp.tc_Complex_Ocomplex)))) % 0.84/1.10 (assume @p659 (forall @t187 (or @t144 (= @t562 @t561)))) % 0.84/1.10 (assume @p660 (forall @t60 (or @t371 @t380))) % 0.84/1.10 (assume @p661 (forall @t260 (not (tptp.c_HOL_Oord__class_Oless @t25 @t25 tptp.tc_RealDef_Oreal)))) % 0.84/1.10 (assume @p662 (forall @t60 (or @t227 @t380))) % 0.84/1.10 (assume @p663 (forall @t60 (or @t68 @t380))) % 0.84/1.10 (assume @p664 (forall @t420 (or @t489 (= @t560 @t546)))) % 0.84/1.10 (assume @p665 (forall @t103 (or @t5 @t376 @t261 @t448))) % 0.84/1.10 (assume @p666 (forall @t103 (or @t5 @t376 @t261 @t450))) % 0.84/1.10 (assume @p667 (forall @t187 (or @t9 (= (tptp.c_RealVector_Oof__real @t563 @t1) (tptp.c_Power_Opower__class_Opower @t267 @t123 @t1))))) % 0.84/1.10 (assume @p668 (forall @t160 (or @t159 (= (tptp.c_HOL_Otimes__class_Otimes @t25 (tptp.c_HOL_Otimes__class_Otimes @t42 @t131 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t201 @t131 @t1))))) % 0.84/1.10 (assume @p669 (forall @t569 (or @t159 (= @t568 (tptp.c_HOL_Otimes__class_Otimes @t566 (tptp.c_HOL_Otimes__class_Otimes @t565 @t564 @t1) @t1))))) % 0.84/1.10 (assume @p670 (forall @t569 (or @t159 (= @t568 (tptp.c_HOL_Otimes__class_Otimes @t570 @t564 @t1))))) % 0.84/1.10 (assume @p671 (forall @t574 (or @t159 (= @t573 (tptp.c_HOL_Otimes__class_Otimes @t565 (tptp.c_HOL_Otimes__class_Otimes @t571 @t566 @t1) @t1))))) % 0.84/1.10 (assume @p672 (forall @t574 (or @t159 (= @t573 (tptp.c_HOL_Otimes__class_Otimes @t570 @t571 @t1))))) % 0.84/1.10 (assume @p673 (forall @t154 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t121 @t81 @t1) (tptp.c_HOL_Otimes__class_Otimes @t11 @t280 @t1))))) % 0.84/1.10 (assume @p674 (forall @t392 (or @t493 (= (tptp.c_Power_Opower__class_Opower @t121 @t123 @t1) (tptp.c_HOL_Otimes__class_Otimes @t178 @t177 @t1))))) % 0.84/1.10 (assume @p675 (forall (@list @t1 @t25 @t42 @t338) (or @t159 (= (tptp.c_Power_Opower__class_Opower @t201 @t338 @t1) (tptp.c_HOL_Otimes__class_Otimes @t557 (tptp.c_Power_Opower__class_Opower @t42 @t338 @t1) @t1))))) % 0.84/1.10 (assume @p676 (forall @t60 (or @t575 (= @t73 @t25)))) % 0.84/1.10 (assume @p677 (forall @t55 (or @t575 (= (tptp.c_HOL_Otimes__class_Otimes @t25 @t201 @t1) @t201)))) % 0.84/1.10 (assume @p678 (forall @t323 (or @t40 @t361 @t367 @t218))) % 0.84/1.10 (assume @p679 (forall @t55 (or @t68 @t218 @t361 @t367))) % 0.84/1.10 (assume @p680 (forall @t55 (or @t68 @t218 @t367 @t361))) % 0.84/1.10 (assume @p681 (forall @t323 (or @t68 @t361 @t218 @t367))) % 0.84/1.10 (assume @p682 (forall @t323 (or @t68 @t361 @t367 @t218))) % 0.84/1.10 (assume @p683 (forall @t577 (or @t159 (= @t576 (tptp.c_HOL_Otimes__class_Otimes @t566 (tptp.c_HOL_Otimes__class_Otimes @t572 @t564 @t1) @t1))))) % 0.84/1.10 (assume @p684 (forall @t577 (or @t159 (= @t576 (tptp.c_HOL_Otimes__class_Otimes @t565 (tptp.c_HOL_Otimes__class_Otimes @t571 @t567 @t1) @t1))))) % 0.84/1.10 (assume @p685 (forall @t577 (or @t159 (= @t576 (tptp.c_HOL_Otimes__class_Otimes @t570 (tptp.c_HOL_Otimes__class_Otimes @t571 @t564 @t1) @t1))))) % 0.84/1.10 (assume @p686 (forall @t55 (or @t9 (not (= @t267 @t516)) @t218))) % 0.84/1.10 (assume @p687 (forall @t55 (or @t159 (= @t201 @t400)))) % 0.84/1.10 (assume @p688 (forall @t19 (or @t159 (= @t121 @t407)))) % 0.84/1.10 (assume @p689 (forall @t365 (or @t227 @t364 @t366 @t362))) % 0.84/1.10 (assume @p690 (forall @t372 (or @t371 @t370 @t373 @t368))) % 0.84/1.10 (assume @p691 @t578) % 0.84/1.10 (assume @p692 (not @t579)) % 0.84/1.10 (assume @p693 (forall @t583 (or (tptp.class_OrderedGroup_Ocancel__comm__monoid__add @t582) @t581))) % 0.84/1.10 (assume @p694 (forall @t583 (or (tptp.class_Ring__and__Field_Ocomm__ring @t582) @t584))) % 0.84/1.10 (assume @p695 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p696 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p697 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p698 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p699 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_nat)) % 0.84/1.10 (assume @p700 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.84/1.10 (assume @p701 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.84/1.10 (assume @p702 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.84/1.10 (assume @p703 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 0.84/1.10 (assume @p704 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.84/1.10 (assume @p705 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.84/1.10 (assume @p706 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.84/1.10 (assume @p707 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.84/1.10 (assume @p708 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.84/1.10 (assume @p709 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 0.84/1.10 (assume @p710 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 0.84/1.10 (assume @p711 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.84/1.10 (assume @p712 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.84/1.10 (assume @p713 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.84/1.10 (assume @p714 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_nat)) % 0.84/1.10 (assume @p715 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.84/1.10 (assume @p716 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.84/1.10 (assume @p717 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.84/1.10 (assume @p718 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.84/1.10 (assume @p719 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.84/1.10 (assume @p720 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.84/1.10 (assume @p721 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.84/1.10 (assume @p722 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 0.84/1.10 (assume @p723 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.84/1.10 (assume @p724 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 0.84/1.10 (assume @p725 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.84/1.10 (assume @p726 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.84/1.10 (assume @p727 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.84/1.10 (assume @p728 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.84/1.10 (assume @p729 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.84/1.10 (assume @p730 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.84/1.10 (assume @p731 (tptp.class_Power_Opower tptp.tc_nat)) % 0.84/1.10 (assume @p732 (tptp.class_HOL_Ozero tptp.tc_nat)) % 0.84/1.10 (assume @p733 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p734 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p735 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p736 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p737 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p738 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p739 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p740 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p741 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p742 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p743 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p744 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p745 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p746 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p747 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p748 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p749 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p750 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p751 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p752 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p753 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p754 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p755 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p756 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p757 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p758 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p759 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p760 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p761 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p762 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p763 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p764 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p765 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p766 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p767 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p768 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p769 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p770 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p771 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p772 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p773 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p774 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p775 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p776 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p777 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p778 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p779 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p780 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p781 @t585) % 0.84/1.10 (assume @p782 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p783 (tptp.class_RealVector_Oreal__algebra tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p784 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p785 (tptp.class_RealVector_Oreal__vector tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p786 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p787 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p788 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p789 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p790 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p791 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p792 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p793 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p794 @t586) % 0.84/1.10 (assume @p795 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p796 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p797 (tptp.class_HOL_Ozero tptp.tc_RealDef_Oreal)) % 0.84/1.10 (assume @p798 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p799 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p800 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p801 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p802 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p803 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p804 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p805 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p806 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p807 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p808 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p809 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p810 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p811 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p812 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p813 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p814 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p815 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p816 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p817 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p818 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p819 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p820 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p821 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p822 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p823 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p824 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p825 (tptp.class_RealVector_Oreal__algebra tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p826 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p827 (tptp.class_RealVector_Oreal__vector tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p828 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p829 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p830 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p831 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p832 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p833 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p834 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p835 (tptp.class_HOL_Ozero tptp.tc_Complex_Ocomplex)) % 0.84/1.10 (assume @p836 (forall @t583 (or (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t582) @t587))) % 0.84/1.10 (assume @p837 (forall @t583 (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t582) @t587))) % 0.84/1.10 (assume @p838 (forall @t583 (or (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t582) @t587))) % 0.84/1.10 (assume @p839 (forall @t583 (or (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t582) @t587))) % 0.84/1.10 (assume @p840 (forall @t583 (or (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t582) @t588))) % 0.84/1.10 (assume @p841 (forall @t583 (or (tptp.class_Ring__and__Field_Oordered__semiring__strict @t582) @t587))) % 0.84/1.10 (assume @p842 (forall @t583 (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t582) @t587))) % 0.84/1.10 (assume @p843 (forall @t583 (or (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t582) @t587))) % 0.84/1.10 (assume @p844 (forall @t583 (or (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t582) @t587))) % 0.84/1.10 (assume @p845 (forall @t583 (or (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t582) @t588))) % 0.84/1.10 (assume @p846 (forall @t583 (or (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t582) @t581))) % 0.84/1.10 (assume @p847 (forall @t583 (or (tptp.class_Ring__and__Field_Oordered__ring__strict @t582) @t587))) % 0.84/1.10 (assume @p848 (forall @t583 (or (tptp.class_OrderedGroup_Opordered__ab__group__add @t582) @t587))) % 0.84/1.10 (assume @p849 (forall @t583 (or (tptp.class_OrderedGroup_Oordered__ab__group__add @t582) @t587))) % 0.84/1.10 (assume @p850 (forall @t583 (or (tptp.class_OrderedGroup_Ocancel__semigroup__add @t582) @t581))) % 0.84/1.10 (assume @p851 (forall @t583 (or (tptp.class_Ring__and__Field_Opordered__semiring @t582) @t587))) % 0.84/1.10 (assume @p852 (forall @t583 (or (tptp.class_Ring__and__Field_Opordered__ring__abs @t582) @t587))) % 0.84/1.10 (assume @p853 (forall @t583 (or (tptp.class_Ring__and__Field_Oordered__semiring @t582) @t587))) % 0.84/1.10 (assume @p854 (forall @t583 (or (tptp.class_Ring__and__Field_Ono__zero__divisors @t582) @t588))) % 0.84/1.10 (assume @p855 (forall @t583 (or (tptp.class_Ring__and__Field_Oordered__semidom @t582) @t587))) % 0.84/1.10 (assume @p856 (forall @t583 (or (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t582) @t589))) % 0.84/1.10 (assume @p857 (forall @t583 (or (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t582) @t590))) % 0.84/1.10 (assume @p858 (forall @t583 (or (tptp.class_OrderedGroup_Oab__semigroup__mult @t582) @t590))) % 0.84/1.10 (assume @p859 (forall @t583 (or (tptp.class_OrderedGroup_Ocomm__monoid__mult @t582) @t589))) % 0.84/1.10 (assume @p860 (forall @t583 (or (tptp.class_OrderedGroup_Oab__semigroup__add @t582) @t591))) % 0.84/1.10 (assume @p861 (forall @t583 (or (tptp.class_Ring__and__Field_Opordered__ring @t582) @t587))) % 0.84/1.10 (assume @p862 (forall @t583 (or (tptp.class_Ring__and__Field_Ocomm__semiring @t582) @t590))) % 0.84/1.10 (assume @p863 (forall @t583 (or (tptp.class_OrderedGroup_Ocomm__monoid__add @t582) @t591))) % 0.84/1.10 (assume @p864 (forall @t583 (or (tptp.class_Ring__and__Field_Ozero__neq__one @t582) @t589))) % 0.84/1.10 (assume @p865 (forall @t583 (or (tptp.class_Ring__and__Field_Oordered__idom @t582) @t587))) % 0.84/1.10 (assume @p866 (forall @t583 (or (tptp.class_Ring__and__Field_Ocomm__ring__1 @t582) @t592))) % 0.84/1.10 (assume @p867 (forall @t583 (or (tptp.class_Ring__and__Field_Osemiring__0 @t582) @t590))) % 0.84/1.10 (assume @p868 (forall @t583 (or (tptp.class_Ring__and__Field_Omult__mono1 @t582) @t587))) % 0.84/1.10 (assume @p869 (forall @t583 (or (tptp.class_OrderedGroup_Oab__group__add @t582) @t593))) % 0.84/1.10 (assume @p870 (forall @t583 (or (tptp.class_Ring__and__Field_Omult__zero @t582) @t590))) % 0.84/1.10 (assume @p871 (forall @t583 (or (tptp.class_Ring__and__Field_Omult__mono @t582) @t587))) % 0.84/1.10 (assume @p872 (forall @t583 (or (tptp.class_OrderedGroup_Omonoid__mult @t582) @t589))) % 0.84/1.10 (assume @p873 (forall @t583 (or (tptp.class_Ring__and__Field_Osemiring @t582) @t590))) % 0.84/1.10 (assume @p874 (forall @t583 (or (tptp.class_OrderedGroup_Omonoid__add @t582) @t591))) % 0.84/1.10 (assume @p875 (forall @t583 (or (tptp.class_OrderedGroup_Ogroup__add @t582) @t593))) % 0.84/1.10 (assume @p876 (forall @t583 (or (tptp.class_Ring__and__Field_Oring__1 @t582) @t592))) % 0.84/1.10 (assume @p877 (forall @t583 (or (tptp.class_Ring__and__Field_Oabs__if @t582) @t587))) % 0.84/1.10 (assume @p878 (forall @t583 (or (tptp.class_Ring__and__Field_Oring @t582) @t584))) % 0.84/1.10 (assume @p879 (forall @t583 (or (tptp.class_Ring__and__Field_Oidom @t582) @t588))) % 0.84/1.10 (assume @p880 (forall @t583 (or (tptp.class_Orderings_Opreorder @t582) @t587))) % 0.84/1.10 (assume @p881 (forall @t583 (or (tptp.class_Orderings_Olinorder @t582) @t587))) % 0.84/1.10 (assume @p882 (forall @t583 (or (tptp.class_Orderings_Oorder @t582) @t587))) % 0.84/1.10 (assume @p883 (forall @t583 (or (tptp.class_Int_Onumber__ring @t582) @t592))) % 0.84/1.10 (assume @p884 (forall @t583 (or (tptp.class_Power_Opower @t582) @t589))) % 0.84/1.10 (assume @p885 (forall @t583 (or (tptp.class_HOL_Ozero @t582) (not (tptp.class_HOL_Ozero @t580))))) % 0.84/1.10 (step @p886 :rule evaluate :args ((= true false))) % 0.84/1.10 (step @p887 :rule instantiate :premises (@p254) :args ((@list tptp.tc_RealDef_Oreal @t550 @t542 @t544))) % 0.84/1.10 (step @p888 :rule cnf_or_pos :args (@t597)) % 0.84/1.10 (step @p889 :rule reordering :premises (@p888) :args ((or @t579 @t595 @t596 @t594 (not @t597)))) % 0.84/1.10 (step @p890 :rule chain_m_resolution :premises (@p889 @p692 @p691 @p794 @p887) :args (@t594 (@list true false false false) (@list @t579 @t578 @t586 @t597))) % 0.84/1.10 (step @p891 :rule false_intro :premises (@p890)) % 0.84/1.10 (step @p892 :rule refl :args (tptp.tc_RealDef_Oreal)) % 0.84/1.10 (step @p893 :rule eq-symm :args (@t487 @t11)) % 0.84/1.10 (step @p894 :rule refl :args (@t489)) % 0.84/1.10 (step @p895 :rule nary_cong :premises (@p894 @p893) :args (@t490)) % 0.84/1.10 (step @p896 :rule cong :premises (@p895) :args (@t491)) % 0.84/1.10 (step @p897 :rule eq_resolve :premises (@p456 @p896)) % 0.84/1.10 (step @p898 :rule instantiate :premises (@p897) :args ((@list tptp.tc_RealDef_Oreal @t542))) % 0.84/1.10 (step @p899 :rule cnf_or_pos :args (@t600)) % 0.84/1.10 (step @p900 :rule reordering :premises (@p899) :args ((or @t599 @t598 (not @t600)))) % 0.84/1.10 (step @p901 :rule chain_m_resolution :premises (@p900 @p781 @p898) :args (@t598 (@list false false) (@list @t585 @t600))) % 0.84/1.10 (step @p902 :rule symm :premises (@p901)) % 0.84/1.10 (step @p903 :rule refl :args (@t544)) % 0.84/1.10 (step @p904 :rule cong :premises (@p903 @p902 @p892) :args (@t545)) % 0.84/1.10 (step @p905 :rule true_intro :premises (@p594)) % 0.84/1.10 (step @p906 :rule symm :premises (@p905)) % 0.84/1.10 (step @p907 :rule trans :premises (@p906 @p904 @p891)) % 0.84/1.10 (step @p908 false :rule eq_resolve :premises (@p907 @p886)) % 0.84/1.10 ) % 0.84/1.10 % SZS output end Proof % 0.84/1.10 % cvc5 exiting %------------------------------------------------------------------------------