%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG370-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:05:51 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.88s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG370-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:07:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.88 % SZS status Unsatisfiable % 0.46/0.88 % SZS output start Proof % 0.46/0.90 ( % 0.46/0.90 (declare-sort $$unsorted 0) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.v_w____ $$unsorted) % 0.46/0.90 (declare-const tptp.v_z $$unsorted) % 0.46/0.90 (declare-const tptp.v_e $$unsorted) % 0.46/0.90 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.v_sko__local__XpCons__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Ocomm__ring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_RealVector_Ometric__space (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_RealVector_Odist__class_Odist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Opordered__ring__abs (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.v_cs____ $$unsorted) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.v_m____ $$unsorted) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_RealVector_Odist__norm (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Olordered__ring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.v_sko__local__XpCons__Xhyps__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.v_da____ $$unsorted) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.46/0.90 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.46/0.90 (define @t1 () (@var "T_a" $$unsorted)) % 0.46/0.90 (define @t2 () (@var "V_b" $$unsorted)) % 0.46/0.90 (define @t3 () (@var "V_a" $$unsorted)) % 0.46/0.90 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.46/0.90 (define @t5 () (not @t4)) % 0.46/0.90 (define @t6 () (@var "V_c" $$unsorted)) % 0.46/0.90 (define @t7 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t6 @t1)) % 0.46/0.90 (define @t8 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t6 @t1)) % 0.46/0.90 (define @t9 () (tptp.c_HOL_Oord__class_Oless @t8 @t7 @t1)) % 0.46/0.90 (define @t10 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.46/0.90 (define @t11 () (@list @t1 @t3 @t6 @t2)) % 0.46/0.90 (define @t12 () (@list @t1 @t3 @t2 @t6)) % 0.46/0.90 (define @t13 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t2 @t1)) % 0.46/0.90 (define @t14 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t3 @t1)) % 0.46/0.90 (define @t15 () (tptp.c_HOL_Oord__class_Oless @t14 @t13 @t1)) % 0.46/0.90 (define @t16 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.46/0.90 (define @t17 () (@list @t1 @t6 @t3 @t2)) % 0.46/0.90 (define @t18 () (@var "V_y" $$unsorted)) % 0.46/0.90 (define @t19 () (@var "V_x" $$unsorted)) % 0.46/0.90 (define @t20 () (tptp.c_HOL_Oord__class_Oless @t19 @t18 @t1)) % 0.46/0.90 (define @t21 () (not @t20)) % 0.46/0.90 (define @t22 () (tptp.c_lessequals @t19 @t18 @t1)) % 0.46/0.90 (define @t23 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.46/0.90 (define @t24 () (@list @t1 @t19 @t18)) % 0.46/0.90 (define @t25 () (not (tptp.class_Orderings_Oorder @t1))) % 0.46/0.90 (define @t26 () (@var "V_d" $$unsorted)) % 0.46/0.90 (define @t27 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t26 @t1))) % 0.46/0.90 (define @t28 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t26 @t1)) % 0.46/0.90 (define @t29 () (tptp.c_HOL_Oord__class_Oless @t8 @t28 @t1)) % 0.46/0.90 (define @t30 () (@list @t1 @t3 @t6 @t2 @t26)) % 0.46/0.90 (define @t31 () (not @t22)) % 0.46/0.90 (define @t32 () (tptp.c_lessequals @t18 @t19 @t1)) % 0.46/0.90 (define @t33 () (tptp.c_HOL_Oabs__class_Oabs @t3 @t1)) % 0.46/0.90 (define @t34 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.46/0.90 (define @t35 () (@list @t1 @t3 @t2)) % 0.46/0.90 (define @t36 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.46/0.90 (define @t37 () (not @t36)) % 0.46/0.90 (define @t38 () (= @t3 @t2)) % 0.46/0.90 (define @t39 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.46/0.90 (define @t40 () (@list @t1 @t2 @t3)) % 0.46/0.90 (define @t41 () (= @t19 @t18)) % 0.46/0.90 (define @t42 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.46/0.90 (define @t43 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.46/0.90 (define @t44 () (not @t43)) % 0.46/0.90 (define @t45 () (not @t32)) % 0.46/0.90 (define @t46 () (@list @t1 @t18 @t19)) % 0.46/0.90 (define @t47 () (tptp.c_HOL_Oord__class_Oless @t19 @t19 @t1)) % 0.46/0.90 (define @t48 () (not @t47)) % 0.46/0.90 (define @t49 () (tptp.c_lessequals @t19 @t19 @t1)) % 0.46/0.90 (define @t50 () (@list @t1 @t19)) % 0.46/0.90 (define @t51 () (@var "V_z" $$unsorted)) % 0.46/0.90 (define @t52 () (not (tptp.c_HOL_Oord__class_Oless @t18 @t51 @t1))) % 0.46/0.90 (define @t53 () (tptp.c_HOL_Oord__class_Oless @t19 @t51 @t1)) % 0.46/0.90 (define @t54 () (@list @t1 @t19 @t51 @t18)) % 0.46/0.90 (define @t55 () (not (tptp.c_lessequals @t18 @t51 @t1))) % 0.46/0.90 (define @t56 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t18 @t1))) % 0.46/0.90 (define @t57 () (tptp.c_HOL_Oord__class_Oless @t51 @t19 @t1)) % 0.46/0.90 (define @t58 () (@list @t1 @t51 @t19 @t18)) % 0.46/0.90 (define @t59 () (tptp.c_HOL_Oord__class_Oless @t18 @t19 @t1)) % 0.46/0.90 (define @t60 () (not @t59)) % 0.46/0.90 (define @t61 () (not (tptp.c_lessequals @t51 @t18 @t1))) % 0.46/0.90 (define @t62 () (forall @t58 (or @t25 @t57 @t61 @t60))) % 0.46/0.90 (define @t63 () (not (tptp.c_lessequals @t6 @t26 @t1))) % 0.46/0.90 (define @t64 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.46/0.90 (define @t65 () (= (tptp.c_HOL_Oplus__class_Oplus @t64 @t3 @t1) @t3)) % 0.46/0.90 (define @t66 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.46/0.90 (define @t67 () (@list @t1 @t3)) % 0.46/0.90 (define @t68 () (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t64 @t1) @t3)) % 0.46/0.90 (define @t69 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.46/0.90 (define @t70 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.46/0.90 (define @t71 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.46/0.90 (define @t72 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.46/0.90 (define @t73 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t74 () (tptp.c_RealVector_Odist__class_Odist @t19 @t18 @t1)) % 0.46/0.90 (define @t75 () (not (tptp.class_RealVector_Ometric__space @t1))) % 0.46/0.90 (define @t76 () (tptp.tc_Polynomial_Opoly @t1)) % 0.46/0.90 (define @t77 () (@var "V_q" $$unsorted)) % 0.46/0.90 (define @t78 () (@var "V_p" $$unsorted)) % 0.46/0.90 (define @t79 () (tptp.c_HOL_Otimes__class_Otimes @t78 @t77 @t76)) % 0.46/0.90 (define @t80 () (tptp.c_Polynomial_Osmult @t3 @t79 @t1)) % 0.46/0.90 (define @t81 () (tptp.c_Polynomial_Osmult @t3 @t78 @t1)) % 0.46/0.90 (define @t82 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t1))) % 0.46/0.90 (define @t83 () (@list @t1 @t3 @t78 @t77)) % 0.46/0.90 (define @t84 () (tptp.c_Polynomial_Osmult @t3 @t77 @t1)) % 0.46/0.90 (define @t85 () (tptp.c_HOL_Oord__class_Oless @t64 @t3 @t1)) % 0.46/0.90 (define @t86 () (not @t85)) % 0.46/0.90 (define @t87 () (= @t33 @t3)) % 0.46/0.90 (define @t88 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t1))) % 0.46/0.90 (define @t89 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t19 @t1)) % 0.46/0.90 (define @t90 () (tptp.c_HOL_Oplus__class_Oplus @t89 (tptp.c_HOL_Otimes__class_Otimes @t18 @t18 @t1) @t1)) % 0.46/0.90 (define @t91 () (not (tptp.c_lessequals @t90 @t64 @t1))) % 0.46/0.90 (define @t92 () (= @t19 @t64)) % 0.46/0.90 (define @t93 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.46/0.90 (define @t94 () (= @t18 @t64)) % 0.46/0.90 (define @t95 () (tptp.c_HOL_Oord__class_Oless @t3 @t64 @t1)) % 0.46/0.90 (define @t96 () (not @t95)) % 0.46/0.90 (define @t97 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t64 @t1))) % 0.46/0.90 (define @t98 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1)) % 0.46/0.90 (define @t99 () (tptp.c_HOL_Oord__class_Oless @t98 @t64 @t1)) % 0.46/0.90 (define @t100 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.46/0.90 (define @t101 () (tptp.c_Int_Onumber__class_Onumber__of @t19 @t1)) % 0.46/0.90 (define @t102 () (@var "V_v" $$unsorted)) % 0.46/0.90 (define @t103 () (tptp.c_Int_Onumber__class_Onumber__of @t102 @t1)) % 0.46/0.90 (define @t104 () (tptp.c_HOL_Otimes__class_Otimes @t103 @t6 @t1)) % 0.46/0.90 (define @t105 () (tptp.c_HOL_Otimes__class_Otimes @t103 @t2 @t1)) % 0.46/0.90 (define @t106 () (not (tptp.class_Int_Onumber @t1))) % 0.46/0.90 (define @t107 () (not (tptp.class_Ring__and__Field_Osemiring @t1))) % 0.46/0.90 (define @t108 () (@list @t1 @t102 @t2 @t6)) % 0.46/0.90 (define @t109 () (tptp.c_lessequals @t64 @t3 @t1)) % 0.46/0.90 (define @t110 () (not @t109)) % 0.46/0.90 (define @t111 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1))) % 0.46/0.90 (define @t112 () (tptp.c_HOL_Oord__class_Oless @t2 @t8 @t1)) % 0.46/0.90 (define @t113 () (@list @t1 @t2 @t3 @t6)) % 0.46/0.90 (define @t114 () (tptp.c_HOL_Oabs__class_Oabs @t2 @t1)) % 0.46/0.90 (define @t115 () (tptp.c_HOL_Oplus__class_Oplus @t33 @t114 @t1)) % 0.46/0.90 (define @t116 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t7 @t1)) % 0.46/0.90 (define @t117 () (tptp.c_HOL_Oplus__class_Oplus @t98 @t6 @t1)) % 0.46/0.90 (define @t118 () (= @t117 @t116)) % 0.46/0.90 (define @t119 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t26 @t1)) % 0.46/0.90 (define @t120 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t119 @t1)) % 0.46/0.90 (define @t121 () (@list @t1 @t3 @t6 @t26)) % 0.46/0.90 (define @t122 () (tptp.c_HOL_Oplus__class_Oplus @t19 @t51 @t1)) % 0.46/0.90 (define @t123 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t51 @t1)) % 0.46/0.90 (define @t124 () (tptp.c_HOL_Oplus__class_Oplus @t19 @t123 @t1)) % 0.46/0.90 (define @t125 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.46/0.90 (define @t126 () (@list @t1 @t19 @t18 @t51)) % 0.46/0.90 (define @t127 () (tptp.c_HOL_Oplus__class_Oplus @t19 @t18 @t1)) % 0.46/0.90 (define @t128 () (tptp.c_HOL_Oabs__class_Oabs @t64 @t1)) % 0.46/0.90 (define @t129 () (@list @t1)) % 0.46/0.90 (define @t130 () (= (tptp.c_HOL_Oplus__class_Oplus @t64 @t64 @t1) @t64)) % 0.46/0.90 (define @t131 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.46/0.90 (define @t132 () (not (tptp.c_lessequals @t64 @t64 @t1))) % 0.46/0.90 (define @t133 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t2 @t1)) % 0.46/0.90 (define @t134 () (tptp.c_HOL_Oabs__class_Oabs @t133 @t1)) % 0.46/0.90 (define @t135 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t114 @t1)) % 0.46/0.90 (define @t136 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t1)) % 0.46/0.90 (define @t137 () (not (tptp.class_RealVector_Oreal__normed__vector @t1))) % 0.46/0.90 (define @t138 () (tptp.c_HOL_Otimes__class_Otimes @t33 @t114 @t1)) % 0.46/0.90 (define @t139 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1)) % 0.46/0.90 (define @t140 () (tptp.c_HOL_Oabs__class_Oabs @t139 @t1)) % 0.46/0.90 (define @t141 () (tptp.c_RealVector_Onorm__class_Onorm @t64 @t1)) % 0.46/0.90 (define @t142 () (tptp.c_RealVector_Oof__real @t18 @t1)) % 0.46/0.90 (define @t143 () (tptp.c_RealVector_Oof__real @t19 @t1)) % 0.46/0.90 (define @t144 () (not (tptp.class_RealVector_Oreal__algebra__1 @t1))) % 0.46/0.90 (define @t145 () (not (tptp.c_lessequals @t2 @t6 @t1))) % 0.46/0.90 (define @t146 () (tptp.c_lessequals @t2 @t8 @t1)) % 0.46/0.90 (define @t147 () (not (tptp.c_lessequals @t64 @t6 @t1))) % 0.46/0.90 (define @t148 () (tptp.c_RealVector_Odist__class_Odist @t19 @t19 @t1)) % 0.46/0.90 (define @t149 () (= @t3 @t64)) % 0.46/0.90 (define @t150 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 @t1)) % 0.46/0.90 (define @t151 () (not (tptp.c_lessequals @t64 @t19 @t1))) % 0.46/0.90 (define @t152 () (not (tptp.c_lessequals @t64 @t18 @t1))) % 0.46/0.90 (define @t153 () (not (= @t127 @t64))) % 0.46/0.90 (define @t154 () (tptp.c_HOL_Oord__class_Oless @t150 @t64 @t1)) % 0.46/0.90 (define @t155 () (not @t154)) % 0.46/0.90 (define @t156 () (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t157 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.46/0.90 (define @t158 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.46/0.90 (define @t159 () (tptp.c_lessequals @t2 @t64 @t1)) % 0.46/0.90 (define @t160 () (not @t159)) % 0.46/0.90 (define @t161 () (tptp.c_lessequals @t3 @t64 @t1)) % 0.46/0.90 (define @t162 () (not @t161)) % 0.46/0.90 (define @t163 () (= (tptp.c_RealVector_Oof__real @t73 @t1) @t64)) % 0.46/0.90 (define @t164 () (tptp.c_HOL_Otimes__class_Otimes @t64 @t64 @t1)) % 0.46/0.90 (define @t165 () (tptp.c_HOL_Oplus__class_Oplus @t164 @t164 @t1)) % 0.46/0.90 (define @t166 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t1))) % 0.46/0.90 (define @t167 () (@var "V_w" $$unsorted)) % 0.46/0.90 (define @t168 () (tptp.c_lessequals @t51 @t167 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t169 () (tptp.c_lessequals @t167 @t51 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t170 () (@list @t51 @t167)) % 0.46/0.90 (define @t171 () (tptp.c_lessequals @t14 @t13 @t1)) % 0.46/0.90 (define @t172 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.46/0.90 (define @t173 () (tptp.c_lessequals @t8 @t7 @t1)) % 0.46/0.90 (define @t174 () (tptp.c_lessequals @t64 @t2 @t1)) % 0.46/0.90 (define @t175 () (not @t174)) % 0.46/0.90 (define @t176 () (= @t140 @t138)) % 0.46/0.90 (define @t177 () (not (tptp.class_Ring__and__Field_Opordered__ring__abs @t1))) % 0.46/0.90 (define @t178 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t157 @t1)) % 0.46/0.90 (define @t179 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.46/0.90 (define @t180 () (tptp.c_lessequals @t139 @t64 @t1)) % 0.46/0.90 (define @t181 () (not @t180)) % 0.46/0.90 (define @t182 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 @t1)) % 0.46/0.90 (define @t183 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t3 @t1)) % 0.46/0.90 (define @t184 () (tptp.c_lessequals @t183 @t182 @t1)) % 0.46/0.90 (define @t185 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 0.46/0.90 (define @t186 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t6 @t1)) % 0.46/0.90 (define @t187 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t6 @t1)) % 0.46/0.90 (define @t188 () (tptp.c_lessequals @t187 @t186 @t1)) % 0.46/0.90 (define @t189 () (not (tptp.c_lessequals @t6 @t64 @t1))) % 0.46/0.90 (define @t190 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.46/0.90 (define @t191 () (@var "V_r" $$unsorted)) % 0.46/0.90 (define @t192 () (= @t6 @t26)) % 0.46/0.90 (define @t193 () (not (= @t90 @t64))) % 0.46/0.90 (define @t194 () (tptp.c_HOL_Oord__class_Oless @t64 @t6 @t1)) % 0.46/0.90 (define @t195 () (not @t194)) % 0.46/0.90 (define @t196 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t26 @t1)) % 0.46/0.90 (define @t197 () (tptp.c_HOL_Oord__class_Oless @t187 @t196 @t1)) % 0.46/0.90 (define @t198 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.46/0.90 (define @t199 () (tptp.c_HOL_Oord__class_Oless @t187 @t186 @t1)) % 0.46/0.90 (define @t200 () (not @t199)) % 0.46/0.90 (define @t201 () (tptp.c_HOL_Oord__class_Oless @t183 @t182 @t1)) % 0.46/0.90 (define @t202 () (not @t201)) % 0.46/0.90 (define @t203 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 0.46/0.90 (define @t204 () (tptp.c_HOL_Oord__class_Oless @t64 @t2 @t1)) % 0.46/0.90 (define @t205 () (not @t204)) % 0.46/0.90 (define @t206 () (not @t184)) % 0.46/0.90 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t6 @t64 @t1)) % 0.46/0.90 (define @t208 () (not @t207)) % 0.46/0.90 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t64 @t90 @t1)) % 0.46/0.90 (define @t210 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t64 @t1) @t64)) % 0.46/0.90 (define @t211 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.46/0.90 (define @t212 () (= (tptp.c_HOL_Otimes__class_Otimes @t64 @t2 @t1) @t64)) % 0.46/0.90 (define @t213 () (@list @t1 @t2)) % 0.46/0.90 (define @t214 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.46/0.90 (define @t215 () (= (tptp.c_HOL_Otimes__class_Otimes @t64 @t3 @t1) @t64)) % 0.46/0.90 (define @t216 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 0.46/0.90 (define @t217 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1)) % 0.46/0.90 (define @t218 () (= @t18 @t51)) % 0.46/0.90 (define @t219 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t18 @t1)) % 0.46/0.90 (define @t220 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t51 @t1)) % 0.46/0.90 (define @t221 () (@var "V_m" $$unsorted)) % 0.46/0.90 (define @t222 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t221 @t1)) % 0.46/0.90 (define @t223 () (= (tptp.c_HOL_Otimes__class_Otimes @t98 @t6 @t1) (tptp.c_HOL_Oplus__class_Oplus @t187 @t186 @t1))) % 0.46/0.90 (define @t224 () (tptp.c_HOL_Oplus__class_Oplus @t219 @t220 @t1)) % 0.46/0.90 (define @t225 () (@var "V_a_H" $$unsorted)) % 0.46/0.90 (define @t226 () (tptp.c_HOL_Otimes__class_Otimes @t225 @t2 @t1)) % 0.46/0.90 (define @t227 () (@list @t1 @t3 @t225 @t2)) % 0.46/0.90 (define @t228 () (@var "V_ya" $$unsorted)) % 0.46/0.90 (define @t229 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t228 @t1)) % 0.46/0.90 (define @t230 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t228 @t1)) % 0.46/0.90 (define @t231 () (@list @t1 @t19 @t18 @t228)) % 0.46/0.90 (define @t232 () (@var "V_b_H" $$unsorted)) % 0.46/0.90 (define @t233 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t232 @t1)) % 0.46/0.90 (define @t234 () (@list @t1 @t3 @t2 @t232)) % 0.46/0.90 (define @t235 () (@var "V_xa" $$unsorted)) % 0.46/0.90 (define @t236 () (tptp.c_HOL_Otimes__class_Otimes @t235 @t18 @t1)) % 0.46/0.90 (define @t237 () (tptp.c_HOL_Otimes__class_Otimes @t235 @t19 @t1)) % 0.46/0.90 (define @t238 () (@list @t1 @t235 @t19 @t18)) % 0.46/0.90 (define @t239 () (= @t2 @t64)) % 0.46/0.90 (define @t240 () (not (= @t139 @t64))) % 0.46/0.90 (define @t241 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.46/0.90 (define @t242 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t157 @t1) @t3)) % 0.46/0.90 (define @t243 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.46/0.90 (define @t244 () (= (tptp.c_HOL_Otimes__class_Otimes @t157 @t3 @t1) @t3)) % 0.46/0.90 (define @t245 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t6 @t1)) % 0.46/0.90 (define @t246 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t26 @t1)) % 0.46/0.90 (define @t247 () (@var "V_e" $$unsorted)) % 0.46/0.90 (define @t248 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t247 @t1)) % 0.46/0.90 (define @t249 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t247 @t1)) % 0.46/0.90 (define @t250 () (tptp.c_Polynomial_Osmult @t2 @t78 @t1)) % 0.46/0.90 (define @t251 () (@list @t1 @t3 @t2 @t78)) % 0.46/0.90 (define @t252 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t3 @t1)) % 0.46/0.90 (define @t253 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs @t252 @t1) @t191 @t1)) % 0.46/0.90 (define @t254 () (not @t253)) % 0.46/0.90 (define @t255 () (tptp.c_HOL_Oord__class_Oless @t19 (tptp.c_HOL_Oplus__class_Oplus @t3 @t191 @t1) @t1)) % 0.46/0.90 (define @t256 () (@list @t1 @t19 @t3 @t191)) % 0.46/0.90 (define @t257 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t3 @t191 @t1) @t19 @t1)) % 0.46/0.90 (define @t258 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1)) % 0.46/0.90 (define @t259 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t258 @t247 @t1) @t26 @t1)) % 0.46/0.90 (define @t260 () (tptp.c_lessequals @t6 @t259 @t1)) % 0.46/0.90 (define @t261 () (tptp.c_HOL_Oplus__class_Oplus @t248 @t26 @t1)) % 0.46/0.90 (define @t262 () (tptp.c_HOL_Oplus__class_Oplus @t249 @t6 @t1)) % 0.46/0.90 (define @t263 () (tptp.c_lessequals @t262 @t261 @t1)) % 0.46/0.90 (define @t264 () (@list @t1 @t3 @t247 @t6 @t2 @t26)) % 0.46/0.90 (define @t265 () (not @t263)) % 0.46/0.90 (define @t266 () (@list @t1 @t6 @t2 @t3 @t247 @t26)) % 0.46/0.90 (define @t267 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t133 @t247 @t1) @t6 @t1)) % 0.46/0.90 (define @t268 () (tptp.c_lessequals @t267 @t26 @t1)) % 0.46/0.90 (define @t269 () (@list @t1 @t3 @t2 @t247 @t6 @t26)) % 0.46/0.90 (define @t270 () (@var "V_x_H" $$unsorted)) % 0.46/0.90 (define @t271 () (@var "V_y_H" $$unsorted)) % 0.46/0.90 (define @t272 () (tptp.c_lessequals @t271 @t270 @t1)) % 0.46/0.90 (define @t273 () (tptp.c_HOL_Ominus__class_Ominus @t270 @t271 @t1)) % 0.46/0.90 (define @t274 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 @t1)) % 0.46/0.90 (define @t275 () (not (= @t274 @t273))) % 0.46/0.90 (define @t276 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.46/0.90 (define @t277 () (@list @t1 @t19 @t18 @t270 @t271)) % 0.46/0.90 (define @t278 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t19 @t1)) % 0.46/0.90 (define @t279 () (= @t278 @t64)) % 0.46/0.90 (define @t280 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.46/0.90 (define @t281 () (not (= @t133 @t64))) % 0.46/0.90 (define @t282 () (tptp.c_HOL_Oord__class_Oless @t19 @t18 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t283 () (not @t282)) % 0.46/0.90 (define @t284 () (tptp.c_lessequals @t19 @t18 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t285 () (@list @t19 @t18)) % 0.46/0.90 (define @t286 () (not @t284)) % 0.46/0.90 (define @t287 () (not (tptp.c_HOL_Oord__class_Oless @t73 @t51 tptp.tc_RealDef_Oreal))) % 0.46/0.90 (define @t288 () (tptp.c_HOL_Otimes__class_Otimes @t51 @t18 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t289 () (tptp.c_HOL_Otimes__class_Otimes @t51 @t19 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t290 () (tptp.c_lessequals @t289 @t288 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t291 () (@list @t51 @t19 @t18)) % 0.46/0.90 (define @t292 () (@list @t19 @t18 @t51)) % 0.46/0.90 (define @t293 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t51 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t294 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t51 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t295 () (tptp.c_lessequals @t294 @t293 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t296 () (@list @t19 @t51 @t18)) % 0.46/0.90 (define @t297 () (= @t6 @t73)) % 0.46/0.90 (define @t298 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1)) % 0.46/0.90 (define @t299 () (tptp.c_HOL_Oord__class_Oless @t139 @t64 @t1)) % 0.46/0.90 (define @t300 () (= @t19 @t73)) % 0.46/0.90 (define @t301 () (tptp.c_lessequals @t64 @t139 @t1)) % 0.46/0.90 (define @t302 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 0.46/0.90 (define @t303 () (tptp.c_HOL_Oord__class_Oless @t64 @t150 @t1)) % 0.46/0.90 (define @t304 () (not @t301)) % 0.46/0.90 (define @t305 () (tptp.c_HOL_Oplus__class_Oplus @t157 @t157 @t1)) % 0.46/0.90 (define @t306 () (tptp.c_lessequals @t187 @t196 @t1)) % 0.46/0.90 (define @t307 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 0.46/0.90 (define @t308 () (@list @t1 @t3 @t2 @t6 @t26)) % 0.46/0.90 (define @t309 () (not (tptp.c_lessequals @t18 @t157 @t1))) % 0.46/0.90 (define @t310 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t19 @t1)) % 0.46/0.90 (define @t311 () (= @t2 @t6)) % 0.46/0.90 (define @t312 () (not (= @t98 @t8))) % 0.46/0.90 (define @t313 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.46/0.90 (define @t314 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1)) % 0.46/0.90 (define @t315 () (tptp.c_HOL_Oord__class_Oless @t64 @t98 @t1)) % 0.46/0.90 (define @t316 () (@var "V_u" $$unsorted)) % 0.46/0.90 (define @t317 () (tptp.c_lessequals @t64 @t150 @t1)) % 0.46/0.90 (define @t318 () (not (tptp.class_Ring__and__Field_Ocomm__ring @t1))) % 0.46/0.90 (define @t319 () (tptp.c_HOL_Ominus__class_Ominus @t78 @t77 @t76)) % 0.46/0.90 (define @t320 () (tptp.c_HOL_Otimes__class_Otimes @t178 @t221 @t1)) % 0.46/0.90 (define @t321 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t103 @t1)) % 0.46/0.90 (define @t322 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t103 @t1)) % 0.46/0.90 (define @t323 () (@list @t1 @t3 @t2 @t102)) % 0.46/0.90 (define @t324 () (tptp.c_lessequals @t133 @t64 @t1)) % 0.46/0.90 (define @t325 () (tptp.c_Int_Onumber__class_Onumber__of @t167 @t1)) % 0.46/0.90 (define @t326 () (tptp.c_lessequals @t103 @t325 @t1)) % 0.46/0.90 (define @t327 () (tptp.c_HOL_Oord__class_Oless @t325 @t103 @t1)) % 0.46/0.90 (define @t328 () (tptp.c_lessequals @t150 @t64 @t1)) % 0.46/0.90 (define @t329 () (@var "V_j" $$unsorted)) % 0.46/0.90 (define @t330 () (@var "V_i" $$unsorted)) % 0.46/0.90 (define @t331 () (@var "V_k" $$unsorted)) % 0.46/0.90 (define @t332 () (@list @t167)) % 0.46/0.90 (define @t333 () (tptp.c_RealVector_Onorm__class_Onorm @t18 @t1)) % 0.46/0.90 (define @t334 () (tptp.c_HOL_Oord__class_Oless @t64 @t139 @t1)) % 0.46/0.90 (define @t335 () (not @t39)) % 0.46/0.90 (define @t336 () (@var "V_n" $$unsorted)) % 0.46/0.90 (define @t337 () (tptp.c_HOL_Oord__class_Oless @t133 @t64 @t1)) % 0.46/0.90 (define @t338 () (not (= @t262 @t261))) % 0.46/0.90 (define @t339 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 0.46/0.90 (define @t340 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t2 @t1)) % 0.46/0.90 (define @t341 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t18 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t342 () (@list @t19)) % 0.46/0.90 (define @t343 () (tptp.c_HOL_Oord__class_Oless @t294 @t293 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t344 () (tptp.c_Polynomial_Opoly @t77 @t19 @t1)) % 0.46/0.90 (define @t345 () (tptp.c_Polynomial_Opoly @t78 @t19 @t1)) % 0.46/0.90 (define @t346 () (@list @t1 @t78 @t77 @t19)) % 0.46/0.90 (define @t347 () (tptp.v_sko__local__XpCons__Xhyps__1 tptp.v_cs____ tptp.v_e tptp.v_z)) % 0.46/0.90 (define @t348 () (tptp.v_sko__local__XpCons__1 tptp.v_cs____ tptp.v_e tptp.v_z)) % 0.46/0.90 (define @t349 () (tptp.c_HOL_Ominus__class_Ominus tptp.v_w____ tptp.v_z tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (define @t350 () (tptp.c_RealVector_Onorm__class_Onorm @t349 tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (define @t351 () (tptp.c_HOL_Oord__class_Oless @t6 @t259 @t1)) % 0.46/0.90 (define @t352 () (tptp.c_HOL_Oord__class_Oless @t262 @t261 @t1)) % 0.46/0.90 (define @t353 () (not @t352)) % 0.46/0.90 (define @t354 () (tptp.c_HOL_Oord__class_Oless @t267 @t26 @t1)) % 0.46/0.90 (define @t355 () (tptp.c_HOL_Otimes__class_Otimes @t136 @t333 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t356 () (tptp.c_RealVector_Onorm__class_Onorm @t219 @t1)) % 0.46/0.90 (define @t357 () (tptp.c_HOL_Ominus__class_Ominus @t167 tptp.v_z tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (define @t358 () (tptp.c_RealVector_Onorm__class_Onorm @t357 tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (define @t359 () (not (tptp.c_HOL_Oord__class_Oless @t73 @t358 tptp.tc_RealDef_Oreal))) % 0.46/0.90 (define @t360 () (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Polynomial_Opoly tptp.v_cs____ @t357 tptp.tc_Complex_Ocomplex) (tptp.c_Polynomial_Opoly tptp.v_cs____ (tptp.c_HOL_Ominus__class_Ominus tptp.v_z tptp.v_z tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.v_e tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t361 () (@var "V_z3" $$unsorted)) % 0.46/0.90 (define @t362 () (@var "V_z2" $$unsorted)) % 0.46/0.90 (define @t363 () (@var "V_z1" $$unsorted)) % 0.46/0.90 (define @t364 () (@var "V_ry" $$unsorted)) % 0.46/0.90 (define @t365 () (@var "V_lx" $$unsorted)) % 0.46/0.90 (define @t366 () (@var "V_rx" $$unsorted)) % 0.46/0.90 (define @t367 () (tptp.c_HOL_Otimes__class_Otimes @t366 @t364 @t1)) % 0.46/0.90 (define @t368 () (tptp.c_HOL_Otimes__class_Otimes @t365 @t367 @t1)) % 0.46/0.90 (define @t369 () (@list @t1 @t365 @t366 @t364)) % 0.46/0.90 (define @t370 () (tptp.c_HOL_Otimes__class_Otimes @t365 @t366 @t1)) % 0.46/0.90 (define @t371 () (@var "V_ly" $$unsorted)) % 0.46/0.90 (define @t372 () (tptp.c_HOL_Otimes__class_Otimes @t365 @t371 @t1)) % 0.46/0.90 (define @t373 () (tptp.c_HOL_Otimes__class_Otimes @t372 @t366 @t1)) % 0.46/0.90 (define @t374 () (@list @t1 @t365 @t371 @t366)) % 0.46/0.90 (define @t375 () (@var "V_s" $$unsorted)) % 0.46/0.90 (define @t376 () (tptp.c_HOL_Oord__class_Oless @t270 @t271 @t1)) % 0.46/0.90 (define @t377 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.46/0.90 (define @t378 () (tptp.c_HOL_Otimes__class_Otimes @t372 @t367 @t1)) % 0.46/0.90 (define @t379 () (@list @t1 @t365 @t371 @t366 @t364)) % 0.46/0.90 (define @t380 () (tptp.c_HOL_Otimes__class_Otimes tptp.v_da____ tptp.v_m____ tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t381 () (tptp.c_HOL_Oord__class_Oless @t380 tptp.v_e tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t382 () (tptp.c_HOL_Otimes__class_Otimes @t350 (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly tptp.v_cs____ @t349 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t383 () (tptp.c_lessequals @t382 @t380 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t384 () (tptp.c_HOL_Oord__class_Oless @t382 tptp.v_e tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t385 () (@var "T_1" $$unsorted)) % 0.46/0.90 (define @t386 () (not (tptp.class_OrderedGroup_Ocancel__comm__monoid__add @t385))) % 0.46/0.90 (define @t387 () (tptp.tc_Polynomial_Opoly @t385)) % 0.46/0.90 (define @t388 () (@list @t385)) % 0.46/0.90 (define @t389 () (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t385))) % 0.46/0.90 (define @t390 () (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.46/0.90 (define @t391 () (not (tptp.class_Ring__and__Field_Oordered__idom @t385))) % 0.46/0.90 (define @t392 () (not (tptp.class_Ring__and__Field_Oidom @t385))) % 0.46/0.90 (define @t393 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t385))) % 0.46/0.90 (define @t394 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t385))) % 0.46/0.90 (define @t395 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t385))) % 0.46/0.90 (define @t396 () (not (tptp.class_OrderedGroup_Oab__group__add @t385))) % 0.46/0.90 (define @t397 () (not (tptp.class_Ring__and__Field_Ocomm__ring @t385))) % 0.46/0.90 (define @t398 () (not @t381)) % 0.46/0.90 (define @t399 () (not @t383)) % 0.46/0.90 (define @t400 () (not @t390)) % 0.46/0.90 (define @t401 () (or @t400 @t384 @t399 @t398)) % 0.46/0.90 (define @t402 () (not @t401)) % 0.46/0.90 (assume @p1 (forall @t11 (or @t10 @t9 @t5))) % 0.46/0.90 (assume @p2 (forall @t12 (or @t10 @t4 (not @t9)))) % 0.46/0.90 (assume @p3 (forall @t17 (or @t16 @t15 @t5))) % 0.46/0.90 (assume @p4 (forall @t17 (or @t10 @t15 @t5))) % 0.46/0.90 (assume @p5 (forall @t12 (or @t10 @t4 (not @t15)))) % 0.46/0.90 (assume @p6 (forall @t24 (or @t23 @t22 @t21))) % 0.46/0.90 (assume @p7 (forall @t24 (or @t25 @t22 @t21))) % 0.46/0.90 (assume @p8 (forall @t30 (or @t16 @t29 @t27 @t5))) % 0.46/0.90 (assume @p9 (forall @t24 (or @t23 @t20 @t32 @t31))) % 0.46/0.90 (assume @p10 (forall @t35 (or @t34 @t4 (not (tptp.c_HOL_Oord__class_Oless @t33 @t2 @t1))))) % 0.46/0.90 (assume @p11 (forall @t40 (or @t25 @t39 @t38 @t37))) % 0.46/0.90 (assume @p12 (forall @t40 (or @t25 @t39 @t37 @t38))) % 0.46/0.90 (assume @p13 (forall @t24 (or @t42 @t41 @t20 @t31))) % 0.46/0.90 (assume @p14 (forall @t24 (or @t42 @t41 @t31 @t20))) % 0.46/0.90 (assume @p15 (forall @t35 (or @t25 @t4 @t44 @t38))) % 0.46/0.90 (assume @p16 (forall @t35 (or @t25 @t4 @t38 @t44))) % 0.46/0.90 (assume @p17 (forall @t24 (or @t25 @t41 @t20 @t31))) % 0.46/0.90 (assume @p18 (forall @t24 (or @t25 @t20 @t41 @t31))) % 0.46/0.90 (assume @p19 (forall @t46 (or @t23 @t45 @t21))) % 0.46/0.90 (assume @p20 (forall @t24 (or @t42 @t20 @t32))) % 0.46/0.90 (assume @p21 (forall @t50 (or @t42 (not @t49) @t48))) % 0.46/0.90 (assume @p22 (forall @t11 (or @t16 @t9 @t5))) % 0.46/0.90 (assume @p23 (forall @t54 (or @t23 @t53 @t52 @t31))) % 0.46/0.90 (assume @p24 (forall @t54 (or @t23 @t53 @t55 @t21))) % 0.46/0.90 (assume @p25 (forall @t58 (or @t25 @t57 @t56 @t45))) % 0.46/0.90 (assume @p26 @t62) % 0.46/0.90 (assume @p27 (forall @t30 (or @t16 @t29 @t27 @t44))) % 0.46/0.90 (assume @p28 (forall @t30 (or @t16 @t29 @t63 @t5))) % 0.46/0.90 (assume @p29 (forall @t67 (or @t66 @t65))) % 0.46/0.90 (assume @p30 (forall @t67 (or @t66 @t68))) % 0.46/0.90 (assume @p31 (forall @t67 (or @t69 @t65))) % 0.46/0.90 (assume @p32 (forall @t50 (or @t66 (= (tptp.c_HOL_Oplus__class_Oplus @t64 @t19 @t1) @t19)))) % 0.46/0.90 (assume @p33 (forall @t50 (or @t71 @t70 (= @t19 (tptp.c_HOL_Oplus__class_Oplus @t19 @t64 @t1))))) % 0.46/0.90 (assume @p34 (forall @t67 (or @t69 @t68))) % 0.46/0.90 (assume @p35 (forall @t67 (or @t72 @t65))) % 0.46/0.90 (assume @p36 (forall @t67 (or @t72 @t68))) % 0.46/0.90 (assume @p37 (forall @t24 (or @t75 @t41 (not (tptp.c_lessequals @t74 @t73 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p38 (forall @t83 (or @t82 (= (tptp.c_HOL_Otimes__class_Otimes @t81 @t77 @t76) @t80)))) % 0.46/0.90 (assume @p39 (forall (@list @t1 @t78 @t3 @t77) (or @t82 (= (tptp.c_HOL_Otimes__class_Otimes @t78 @t84 @t76) @t80)))) % 0.46/0.90 (assume @p40 (forall @t67 (or @t88 @t87 @t86))) % 0.46/0.90 (assume @p41 (forall @t24 (or @t75 (not (= @t74 @t73)) @t41))) % 0.46/0.90 (assume @p42 (forall @t24 (or @t93 @t92 @t91))) % 0.46/0.90 (assume @p43 (forall @t46 (or @t93 @t94 @t91))) % 0.46/0.90 (assume @p44 (forall @t35 (or @t100 @t99 @t97 @t96))) % 0.46/0.90 (assume @p45 (forall @t24 (or (not (tptp.class_Int_Oring__char__0 @t1)) @t70 (not (= @t101 (tptp.c_Int_Onumber__class_Onumber__of @t18 @t1))) @t41))) % 0.46/0.90 (assume @p46 (forall @t108 (or @t107 @t106 (= (tptp.c_HOL_Otimes__class_Otimes @t103 @t7 @t1) (tptp.c_HOL_Oplus__class_Oplus @t105 @t104 @t1))))) % 0.46/0.90 (assume @p47 (forall @t113 (or @t10 @t69 @t112 @t111 @t110))) % 0.46/0.90 (assume @p48 (forall @t35 (or @t88 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t98 @t1) @t115 @t1)))) % 0.46/0.90 (assume @p49 (forall @t12 (or @t66 @t118))) % 0.46/0.90 (assume @p50 (forall @t121 (or @t66 (= @t120 (tptp.c_HOL_Oplus__class_Oplus @t6 (tptp.c_HOL_Oplus__class_Oplus @t3 @t26 @t1) @t1))))) % 0.46/0.90 (assume @p51 (forall @t12 (or @t66 (= @t117 (tptp.c_HOL_Oplus__class_Oplus @t8 @t2 @t1))))) % 0.46/0.90 (assume @p52 (forall @t121 (or @t66 (= @t120 (tptp.c_HOL_Oplus__class_Oplus @t8 @t26 @t1))))) % 0.46/0.90 (assume @p53 (forall @t12 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t118))) % 0.46/0.90 (assume @p54 (forall @t126 (or @t125 (= @t124 (tptp.c_HOL_Oplus__class_Oplus @t18 @t122 @t1))))) % 0.46/0.90 (assume @p55 (forall @t126 (or @t66 (= @t124 (tptp.c_HOL_Oplus__class_Oplus @t127 @t51 @t1))))) % 0.46/0.90 (assume @p56 (forall @t12 (or @t69 @t118))) % 0.46/0.90 (assume @p57 (forall @t12 (or @t69 (= @t116 (tptp.c_HOL_Oplus__class_Oplus @t2 @t8 @t1))))) % 0.46/0.90 (assume @p58 (forall @t129 (or @t88 (= @t128 @t64)))) % 0.46/0.90 (assume @p59 (forall @t129 (or @t131 @t130))) % 0.46/0.90 (assume @p60 (forall @t129 (or @t100 @t132 @t132 @t130))) % 0.46/0.90 (assume @p61 (forall @t35 (or @t88 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t135 @t1) @t134 @t1)))) % 0.46/0.90 (assume @p62 (forall @t50 (or @t137 @t92 (not (tptp.c_lessequals @t136 @t73 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p63 (forall @t35 (or @t88 @t43 (not (tptp.c_lessequals @t33 @t2 @t1))))) % 0.46/0.90 (assume @p64 (forall @t35 (or (not (tptp.class_Ring__and__Field_Olordered__ring @t1)) (tptp.c_lessequals @t140 @t138 @t1)))) % 0.46/0.90 (assume @p65 (forall @t129 (or @t137 (tptp.c_lessequals @t141 @t73 tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p66 (forall @t24 (or @t144 (not (= @t143 @t142)) @t41))) % 0.46/0.90 (assume @p67 (forall @t50 (or @t137 (not (= @t136 @t73)) @t92))) % 0.46/0.90 (assume @p68 (forall @t113 (or @t10 @t69 @t146 @t145 @t110))) % 0.46/0.90 (assume @p69 (forall @t113 (or @t10 @t69 @t146 @t37 @t147))) % 0.46/0.90 (assume @p70 (forall @t50 (or @t75 (not (tptp.c_HOL_Oord__class_Oless @t73 @t148 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p71 (forall @t24 (or @t93 (tptp.c_lessequals @t64 @t90 @t1)))) % 0.46/0.90 (assume @p72 (forall (@list @t1 @t19 @t3) (or @t71 @t70 (not (= @t19 (tptp.c_HOL_Oplus__class_Oplus @t19 @t3 @t1))) @t149))) % 0.46/0.90 (assume @p73 (forall @t67 (or @t131 (not (= @t150 @t64)) @t149))) % 0.46/0.90 (assume @p74 (forall @t24 (or @t100 @t153 @t152 @t151 @t92))) % 0.46/0.90 (assume @p75 (forall @t24 (or @t100 @t153 @t152 @t151 @t94))) % 0.46/0.90 (assume @p76 (forall @t67 (or @t34 @t154 @t96))) % 0.46/0.90 (assume @p77 (forall @t67 (or @t34 @t95 @t155))) % 0.46/0.90 (assume @p78 (forall @t67 (or @t131 @t95 @t155))) % 0.46/0.90 (assume @p79 (forall @t67 (or @t131 @t154 @t96))) % 0.46/0.90 (assume @p80 (tptp.c_HOL_Oord__class_Oless tptp.v_da____ @t156 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p81 (forall @t129 (or @t158 (not (= @t157 @t64))))) % 0.46/0.90 (assume @p82 (forall @t50 (or @t75 (= @t148 @t73)))) % 0.46/0.90 (assume @p83 (forall @t35 (or @t100 @t99 @t160 @t96))) % 0.46/0.90 (assume @p84 (forall @t35 (or @t100 @t99 @t97 @t162))) % 0.46/0.90 (assume @p85 (forall @t129 (or @t137 @t144 @t163))) % 0.46/0.90 (assume @p86 (forall @t129 (or @t144 @t163))) % 0.46/0.90 (assume @p87 (forall @t129 (or @t93 (tptp.c_lessequals @t165 @t64 @t1)))) % 0.46/0.90 (assume @p88 (forall @t50 (or @t75 (tptp.c_lessequals @t148 @t73 tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p89 (forall @t67 (or @t88 @t149 (not (tptp.c_lessequals @t33 @t64 @t1))))) % 0.46/0.90 (assume @p90 (forall @t11 (or @t166 (tptp.c_lessequals @t3 (tptp.c_HOL_Oplus__class_Oplus @t6 @t114 @t1) @t1) (not (tptp.c_lessequals @t98 @t6 @t1))))) % 0.46/0.90 (assume @p91 (forall @t170 (or (= @t51 @t167) (not @t169) (not @t168)))) % 0.46/0.90 (assume @p92 (forall @t24 (or @t25 @t41 @t45 @t31))) % 0.46/0.90 (assume @p93 (forall @t24 (or @t25 @t41 @t31 @t45))) % 0.46/0.90 (assume @p94 (forall @t67 (or @t88 @t87 @t110))) % 0.46/0.90 (assume @p95 (forall @t17 (or @t172 @t171 @t44))) % 0.46/0.90 (assume @p96 (forall @t11 (or @t172 @t173 @t44))) % 0.46/0.90 (assume @p97 (forall @t12 (or @t10 @t43 (not @t171)))) % 0.46/0.90 (assume @p98 (forall @t17 (or @t10 @t171 @t44))) % 0.46/0.90 (assume @p99 (forall @t12 (or @t10 @t43 (not @t173)))) % 0.46/0.90 (assume @p100 (forall @t11 (or @t10 @t173 @t44))) % 0.46/0.90 (assume @p101 (forall @t35 (or @t177 @t176 @t175 @t110))) % 0.46/0.90 (assume @p102 (forall @t35 (or @t177 @t176 @t160 @t110))) % 0.46/0.90 (assume @p103 (forall @t35 (or @t177 @t176 @t175 @t162))) % 0.46/0.90 (assume @p104 (forall @t35 (or @t177 @t176 @t160 @t162))) % 0.46/0.90 (assume @p105 (forall @t24 (or @t75 (not (tptp.c_HOL_Oord__class_Oless @t74 @t73 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p106 (forall @t67 (or @t179 (tptp.c_HOL_Oord__class_Oless @t3 @t178 @t1)))) % 0.46/0.90 (assume @p107 (forall @t24 (or @t75 (tptp.c_HOL_Oord__class_Oless @t73 @t74 tptp.tc_RealDef_Oreal) @t41))) % 0.46/0.90 (assume @p108 (forall @t35 (or @t93 @t161 @t109 @t181))) % 0.46/0.90 (assume @p109 (forall @t40 (or @t93 @t174 @t109 @t181))) % 0.46/0.90 (assume @p110 (forall @t35 (or @t93 @t161 @t159 @t181))) % 0.46/0.90 (assume @p111 (forall @t40 (or @t93 @t174 @t159 @t181))) % 0.46/0.90 (assume @p112 (forall @t113 (or @t179 @t112 @t111 @t86))) % 0.46/0.90 (assume @p113 (forall @t17 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t184 @t147 @t44))) % 0.46/0.90 (assume @p114 (forall @t17 (or @t185 @t184 @t147 @t44))) % 0.46/0.90 (assume @p115 (forall @t11 (or @t185 @t188 @t147 @t44))) % 0.46/0.90 (assume @p116 (forall @t17 (or @t190 @t184 @t189 @t37))) % 0.46/0.90 (assume @p117 (forall @t11 (or @t190 @t188 @t189 @t37))) % 0.46/0.90 (assume @p118 (forall (@list @t1 @t19 @t191 @t6 @t26) (or @t71 @t70 (not (= (tptp.c_HOL_Oplus__class_Oplus @t19 (tptp.c_HOL_Otimes__class_Otimes @t191 @t6 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t19 (tptp.c_HOL_Otimes__class_Otimes @t191 @t26 @t1) @t1))) @t192 (= @t191 @t64)))) % 0.46/0.90 (assume @p119 (forall @t24 (or @t93 @t193 @t92))) % 0.46/0.90 (assume @p120 (forall @t24 (or @t93 @t193 @t94))) % 0.46/0.90 (assume @p121 (forall @t50 (or @t42 @t47 @t49))) % 0.46/0.90 (assume @p122 (forall @t24 (or @t42 @t21 @t45))) % 0.46/0.90 (assume @p123 (forall @t46 (or @t42 @t32 @t20))) % 0.46/0.90 (assume @p124 (forall @t46 (or @t42 @t59 @t22))) % 0.46/0.90 (assume @p125 (forall @t24 (or @t42 @t31 @t60))) % 0.46/0.90 (assume @p126 (forall @t30 (or @t198 @t197 @t195 @t110 @t63 @t5))) % 0.46/0.90 (assume @p127 (forall @t30 (or @t198 @t197 @t147 @t86 @t27 @t44))) % 0.46/0.90 (assume @p128 (forall @t129 (or @t93 (not (tptp.c_HOL_Oord__class_Oless @t64 @t165 @t1))))) % 0.46/0.90 (assume @p129 (forall @t30 (or @t198 @t197 @t147 @t110 @t27 @t5))) % 0.46/0.90 (assume @p130 (forall @t24 (or @t93 (not (tptp.c_HOL_Oord__class_Oless @t90 @t64 @t1))))) % 0.46/0.90 (assume @p131 (forall @t12 (or @t198 @t4 @t147 @t200))) % 0.46/0.90 (assume @p132 (forall @t12 (or @t198 @t4 @t147 @t202))) % 0.46/0.90 (assume @p133 (forall @t12 (or @t203 @t4 @t147 @t200))) % 0.46/0.90 (assume @p134 (forall @t12 (or @t203 @t4 @t147 @t202))) % 0.46/0.90 (assume @p135 (forall @t30 (or @t198 @t197 @t147 @t205 @t27 @t5))) % 0.46/0.90 (assume @p136 (forall @t12 (or @t198 @t43 @t195 (not @t188)))) % 0.46/0.90 (assume @p137 (forall @t12 (or @t198 @t43 @t195 @t206))) % 0.46/0.90 (assume @p138 (forall @t17 (or @t93 @t184 @t44 @t195))) % 0.46/0.90 (assume @p139 (forall @t12 (or @t93 @t43 @t206 @t195))) % 0.46/0.90 (assume @p140 (forall @t17 (or @t93 @t184 @t37 @t208))) % 0.46/0.90 (assume @p141 (forall @t113 (or @t93 @t36 @t206 @t208))) % 0.46/0.90 (assume @p142 (forall @t24 (or @t93 @t209 @t94))) % 0.46/0.90 (assume @p143 (forall @t24 (or @t93 @t209 @t92))) % 0.46/0.90 (assume @p144 (forall @t67 (or @t211 @t210))) % 0.46/0.90 (assume @p145 (forall @t213 (or @t211 @t212))) % 0.46/0.90 (assume @p146 (forall @t67 (or @t214 @t210))) % 0.46/0.90 (assume @p147 (forall @t67 (or @t214 @t215))) % 0.46/0.90 (assume @p148 (forall @t50 (or @t66 (= (tptp.c_HOL_Otimes__class_Otimes @t64 @t19 @t1) @t64)))) % 0.46/0.90 (assume @p149 (forall @t50 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes @t19 @t64 @t1) @t64)))) % 0.46/0.90 (assume @p150 (forall @t67 (or @t216 @t210))) % 0.46/0.90 (assume @p151 (forall @t213 (or @t216 @t212))) % 0.46/0.90 (assume @p152 (forall (@list @t1 @t18) (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes @t64 @t18 @t1) @t64)))) % 0.46/0.90 (assume @p153 (forall @t67 (or @t66 @t210))) % 0.46/0.90 (assume @p154 (forall @t67 (or @t66 @t215))) % 0.46/0.90 (assume @p155 (forall @t67 (or @t34 (= (tptp.c_HOL_Otimes__class_Otimes @t33 @t33 @t1) @t217)))) % 0.46/0.90 (assume @p156 (forall (@list @t1 @t167 @t18 @t19 @t51) (or @t71 @t70 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t167 @t18 @t1) @t220 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t167 @t51 @t1) @t219 @t1))) @t218 (= @t167 @t19)))) % 0.46/0.90 (assume @p157 (forall @t30 (or @t71 @t70 (not (= (tptp.c_HOL_Oplus__class_Oplus @t187 @t196 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t26 @t1) @t186 @t1))) @t192 @t38))) % 0.46/0.90 (assume @p158 (forall (@list @t1 @t3 @t221 @t2) (or @t66 (= (tptp.c_HOL_Oplus__class_Oplus @t222 (tptp.c_HOL_Otimes__class_Otimes @t2 @t221 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t98 @t221 @t1))))) % 0.46/0.90 (assume @p159 (forall @t12 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t223))) % 0.46/0.90 (assume @p160 (forall @t126 (or @t66 (= (tptp.c_HOL_Otimes__class_Otimes @t19 @t123 @t1) @t224)))) % 0.46/0.90 (assume @p161 (forall @t227 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t3 @t225 @t1) @t2 @t1) (tptp.c_HOL_Oplus__class_Oplus @t139 @t226 @t1))))) % 0.46/0.90 (assume @p162 (forall @t231 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes @t127 @t228 @t1) (tptp.c_HOL_Oplus__class_Oplus @t230 @t229 @t1))))) % 0.46/0.90 (assume @p163 (forall @t234 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes @t3 (tptp.c_HOL_Oplus__class_Oplus @t2 @t232 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t139 @t233 @t1))))) % 0.46/0.90 (assume @p164 (forall @t238 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes @t235 @t127 @t1) (tptp.c_HOL_Oplus__class_Oplus @t237 @t236 @t1))))) % 0.46/0.90 (assume @p165 (forall @t12 (or @t66 @t223))) % 0.46/0.90 (assume @p166 (forall @t35 (or @t34 @t176))) % 0.46/0.90 (assume @p167 (forall @t35 (or @t211 @t240 @t239 @t149))) % 0.46/0.90 (assume @p168 (forall @t35 (or @t241 @t240 @t239 @t149))) % 0.46/0.90 (assume @p169 (forall @t35 (or @t241 @t240 @t149 @t239))) % 0.46/0.90 (assume @p170 (forall @t67 (or @t243 @t242))) % 0.46/0.90 (assume @p171 (forall @t67 (or @t243 @t244))) % 0.46/0.90 (assume @p172 (forall @t67 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1)) @t244))) % 0.46/0.90 (assume @p173 (forall @t50 (or @t66 (= (tptp.c_HOL_Otimes__class_Otimes @t157 @t19 @t1) @t19)))) % 0.46/0.90 (assume @p174 (forall @t67 (or @t66 @t242))) % 0.46/0.90 (assume @p175 (forall @t67 (or @t66 @t244))) % 0.46/0.90 (assume @p176 (forall @t126 (or @t71 @t70 (= @t224 (tptp.c_HOL_Oplus__class_Oplus @t220 @t219 @t1))))) % 0.46/0.90 (assume @p177 (forall (@list @t1 @t19 @t6 @t26) (or @t71 @t70 (= (tptp.c_HOL_Oplus__class_Oplus @t245 @t246 @t1) (tptp.c_HOL_Oplus__class_Oplus @t246 @t245 @t1))))) % 0.46/0.90 (assume @p178 (forall (@list @t1 @t3 @t247 @t2 @t6) (or @t107 (= (tptp.c_HOL_Oplus__class_Oplus @t249 (tptp.c_HOL_Oplus__class_Oplus @t248 @t6 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t98 @t247 @t1) @t6 @t1))))) % 0.46/0.90 (assume @p179 (forall @t251 (or @t82 (= (tptp.c_Polynomial_Osmult @t3 @t250 @t1) (tptp.c_Polynomial_Osmult @t139 @t78 @t1))))) % 0.46/0.90 (assume @p180 (forall @t256 (or @t34 @t255 @t254))) % 0.46/0.90 (assume @p181 (forall @t256 (or @t34 @t253 (not @t255) (not @t257)))) % 0.46/0.90 (assume @p182 (forall @t264 (or @t190 @t263 (not @t260)))) % 0.46/0.90 (assume @p183 (forall @t266 (or @t190 @t260 @t265))) % 0.46/0.90 (assume @p184 (forall @t264 (or @t190 @t263 (not @t268)))) % 0.46/0.90 (assume @p185 (forall @t269 (or @t190 @t268 @t265))) % 0.46/0.90 (assume @p186 (forall @t35 (or @t88 (= @t134 (tptp.c_HOL_Oabs__class_Oabs @t258 @t1))))) % 0.46/0.90 (assume @p187 (forall @t277 (or @t276 @t275 @t272 @t45))) % 0.46/0.90 (assume @p188 (forall @t277 (or @t276 @t275 @t32 (not @t272)))) % 0.46/0.90 (assume @p189 (forall @t50 (or @t125 @t279))) % 0.46/0.90 (assume @p190 (forall @t50 (or @t280 @t279))) % 0.46/0.90 (assume @p191 (forall @t67 (or @t280 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t64 @t1) @t3)))) % 0.46/0.90 (assume @p192 (forall @t67 (or @t280 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1) @t64)))) % 0.46/0.90 (assume @p193 (forall @t50 (or @t71 @t70 @t279))) % 0.46/0.90 (assume @p194 (forall @t35 (or @t280 (= (tptp.c_HOL_Oplus__class_Oplus @t133 @t2 @t1) @t3)))) % 0.46/0.90 (assume @p195 (forall @t35 (or @t125 @t281 @t38))) % 0.46/0.90 (assume @p196 (forall @t35 (or @t280 @t281 @t38))) % 0.46/0.90 (assume @p197 (forall @t24 (or @t71 @t70 (not (= @t274 @t64)) @t41))) % 0.46/0.90 (assume @p198 (forall @t30 (or @t125 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t28 @t1) (tptp.c_HOL_Oplus__class_Oplus @t133 (tptp.c_HOL_Ominus__class_Ominus @t6 @t26 @t1) @t1))))) % 0.46/0.90 (assume @p199 (forall @t35 (or @t280 (= (tptp.c_HOL_Ominus__class_Ominus @t98 @t2 @t1) @t3)))) % 0.46/0.90 (assume @p200 (forall @t285 (or @t284 @t283))) % 0.46/0.90 (assume @p201 (forall @t285 (or @t282 @t41 @t286))) % 0.46/0.90 (assume @p202 (forall @t291 (or @t290 @t286 @t287))) % 0.46/0.90 (assume @p203 (forall @t292 (or @t284 (not @t290) @t287))) % 0.46/0.90 (assume @p204 (forall @t296 (or @t295 @t286 @t287))) % 0.46/0.90 (assume @p205 (forall @t292 (or @t284 (not @t295) @t287))) % 0.46/0.90 (assume @p206 (forall @t50 (or @t137 (tptp.c_HOL_Oord__class_Oless @t73 @t136 tptp.tc_RealDef_Oreal) @t92))) % 0.46/0.90 (assume @p207 (forall @t129 (or @t137 (not (tptp.c_HOL_Oord__class_Oless @t73 @t141 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p208 (forall (@list @t3 @t6 @t2) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t6 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t2 @t6 tptp.tc_RealDef_Oreal))) @t297 @t38))) % 0.46/0.90 (assume @p209 (forall (@list @t6 @t3 @t2) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t3 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 tptp.tc_RealDef_Oreal))) @t297 @t38))) % 0.46/0.90 (assume @p210 (forall (@list @t51) (= (tptp.c_HOL_Otimes__class_Otimes @t156 @t51 tptp.tc_RealDef_Oreal) @t51))) % 0.46/0.90 (assume @p211 (= (tptp.c_HOL_Otimes__class_Otimes @t156 @t156 tptp.tc_RealDef_Oreal) @t156)) % 0.46/0.90 (assume @p212 (forall @t17 (or @t93 @t207 @t4 @t200))) % 0.46/0.90 (assume @p213 (forall @t113 (or @t93 @t39 @t194 @t200))) % 0.46/0.90 (assume @p214 (forall @t17 (or @t93 @t207 @t4 @t202))) % 0.46/0.90 (assume @p215 (forall @t113 (or @t93 @t39 @t194 @t202))) % 0.46/0.90 (assume @p216 (forall @t67 (or @t93 (not (tptp.c_HOL_Oord__class_Oless @t217 @t64 @t1))))) % 0.46/0.90 (assume @p217 (forall @t17 (or @t93 @t207 @t194 @t200))) % 0.46/0.90 (assume @p218 (forall @t17 (or @t93 @t207 @t194 @t202))) % 0.46/0.90 (assume @p219 (forall @t40 (or @t198 (tptp.c_HOL_Oord__class_Oless @t298 @t64 @t1) @t97 @t86))) % 0.46/0.90 (assume @p220 (forall @t35 (or @t198 @t299 @t97 @t86))) % 0.46/0.90 (assume @p221 (forall @t24 (or @t75 (tptp.c_lessequals @t73 @t74 tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p222 (forall @t50 (or @t144 (not (= @t143 @t64)) @t300))) % 0.46/0.90 (assume @p223 (forall @t35 (or @t190 @t301 @t175 @t110))) % 0.46/0.90 (assume @p224 (forall @t35 (or @t190 @t301 @t160 @t162))) % 0.46/0.90 (assume @p225 (forall @t67 (or @t93 (tptp.c_lessequals @t64 @t217 @t1)))) % 0.46/0.90 (assume @p226 (forall @t35 (or @t93 @t301 @t175 @t110))) % 0.46/0.90 (assume @p227 (forall @t35 (or @t93 @t301 @t160 @t162))) % 0.46/0.90 (assume @p228 (forall @t35 (or @t302 @t301 @t175 @t110))) % 0.46/0.90 (assume @p229 (tptp.c_HOL_Oord__class_Oless @t73 tptp.v_da____ tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p230 (forall @t35 (or @t88 (tptp.c_lessequals @t135 @t134 @t1)))) % 0.46/0.90 (assume @p231 (forall @t67 (or @t131 @t85 (not @t303)))) % 0.46/0.90 (assume @p232 (forall @t67 (or @t131 @t303 @t86))) % 0.46/0.90 (assume @p233 (forall @t35 (or @t93 @t161 @t109 @t304))) % 0.46/0.90 (assume @p234 (forall @t40 (or @t93 @t159 @t109 @t304))) % 0.46/0.90 (assume @p235 (forall @t35 (or @t93 @t161 @t174 @t304))) % 0.46/0.90 (assume @p236 (forall @t40 (or @t93 @t159 @t174 @t304))) % 0.46/0.90 (assume @p237 (tptp.c_lessequals @t73 tptp.v_da____ tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p238 (forall @t129 (or @t34 (= (tptp.c_HOL_Oabs__class_Oabs @t157 @t1) @t157)))) % 0.46/0.90 (assume @p239 (forall @t129 (or @t179 (tptp.c_HOL_Oord__class_Oless @t64 @t305 @t1)))) % 0.46/0.90 (assume @p240 (forall @t30 (or @t307 @t306 @t147 @t175 @t63 @t44))) % 0.46/0.90 (assume @p241 (forall @t30 (or @t307 @t306 @t147 @t110 @t63 @t44))) % 0.46/0.90 (assume @p242 (forall @t50 (or @t137 (tptp.c_lessequals @t73 @t136 tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p243 (forall (@list @t1 @t78) (or @t66 (= (tptp.c_Polynomial_Osmult @t157 @t78 @t1) @t78)))) % 0.46/0.90 (assume @p244 (forall @t129 (or @t144 (= (tptp.c_RealVector_Oof__real @t156 @t1) @t157)))) % 0.46/0.90 (assume @p245 (forall @t308 (or @t66 (= (tptp.c_HOL_Oplus__class_Oplus @t98 @t119 @t1) (tptp.c_HOL_Oplus__class_Oplus @t8 @t28 @t1))))) % 0.46/0.90 (assume @p246 (forall @t46 (or @t34 (tptp.c_lessequals @t310 @t19 @t1) @t309 @t152 @t151))) % 0.46/0.90 (assume @p247 (forall @t24 (or @t34 (tptp.c_lessequals @t219 @t19 @t1) @t309 @t152 @t151))) % 0.46/0.90 (assume @p248 (forall @t126 (or @t71 @t70 (not (= @t127 @t122)) @t218))) % 0.46/0.90 (assume @p249 (forall @t12 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t312 @t311))) % 0.46/0.90 (assume @p250 (forall @t12 (or @t313 @t312 @t311))) % 0.46/0.90 (assume @p251 (forall @t113 (or @t313 (not (= @t314 @t14)) @t311))) % 0.46/0.90 (assume @p252 (forall @t35 (or @t93 @t180 @t160 @t110))) % 0.46/0.90 (assume @p253 (forall @t35 (or @t93 @t180 @t175 @t162))) % 0.46/0.90 (assume @p254 (forall @t35 (or @t302 @t180 @t160 @t110))) % 0.46/0.90 (assume @p255 (forall @t35 (or @t302 @t180 @t175 @t162))) % 0.46/0.90 (assume @p256 (forall @t40 (or @t302 (tptp.c_lessequals @t298 @t64 @t1) @t160 @t110))) % 0.46/0.90 (assume @p257 (forall @t129 (or @t88 (tptp.c_lessequals @t128 @t64 @t1)))) % 0.46/0.90 (assume @p258 (forall @t35 (or @t100 @t315 @t205 @t110))) % 0.46/0.90 (assume @p259 (forall @t35 (or @t100 @t315 @t175 @t86))) % 0.46/0.90 (assume @p260 (forall @t129 (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 @t1)) (= (tptp.c_RealVector_Onorm__class_Onorm @t157 @t1) @t156)))) % 0.46/0.90 (assume @p261 (not (= @t73 @t156))) % 0.46/0.90 (assume @p262 (forall @t129 (or @t158 (not (= @t64 @t157))))) % 0.46/0.90 (assume @p263 (forall @t24 (or @t75 (= @t74 (tptp.c_RealVector_Odist__class_Odist @t18 @t19 @t1))))) % 0.46/0.90 (assume @p264 (forall (@list @t1 @t19 @t18 @t51 @t316) (or @t125 (not (= @t124 (tptp.c_HOL_Oplus__class_Oplus @t18 @t316 @t1))) (= @t122 @t316)))) % 0.46/0.90 (assume @p265 (forall @t35 (or @t100 (tptp.c_lessequals @t64 @t98 @t1) @t175 @t110))) % 0.46/0.90 (assume @p266 (forall @t30 (or @t172 (tptp.c_lessequals @t8 @t28 @t1) @t63 @t44))) % 0.46/0.90 (assume @p267 (forall @t67 (or @t131 @t109 (not @t317)))) % 0.46/0.90 (assume @p268 (forall @t67 (or @t131 @t317 @t110))) % 0.46/0.90 (assume @p269 (forall @t308 (or @t88 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t98 @t119 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t1) @t1) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t2 @t26 @t1) @t1) @t1) @t1)))) % 0.46/0.90 (assume @p270 (forall @t113 (or @t10 @t69 @t112 @t145 @t86))) % 0.46/0.90 (assume @p271 (forall @t67 (or @t88 (= (tptp.c_HOL_Oabs__class_Oabs @t33 @t1) @t33)))) % 0.46/0.90 (assume @p272 (forall @t67 (or @t88 (tptp.c_HOL_Oord__class_Oless @t64 @t33 @t1) @t149))) % 0.46/0.90 (assume @p273 (forall (@list @t1 @t3 @t6) (or @t66 (= @t8 @t14)))) % 0.46/0.90 (assume @p274 (forall @t24 (or @t66 (= @t127 (tptp.c_HOL_Oplus__class_Oplus @t18 @t19 @t1))))) % 0.46/0.90 (assume @p275 (forall @t35 (or @t69 (= @t98 @t314)))) % 0.46/0.90 (assume @p276 (forall @t129 (or @t137 (= @t141 @t73)))) % 0.46/0.90 (assume @p277 (forall (@list @t1 @t221) (or @t66 (= (tptp.c_HOL_Oplus__class_Oplus @t221 @t221 @t1) (tptp.c_HOL_Otimes__class_Otimes @t305 @t221 @t1))))) % 0.46/0.90 (assume @p278 (forall @t67 (or @t88 (tptp.c_lessequals @t3 @t33 @t1)))) % 0.46/0.90 (assume @p279 (forall @t251 (or @t318 (= (tptp.c_Polynomial_Osmult @t133 @t78 @t1) (tptp.c_HOL_Ominus__class_Ominus @t81 @t250 @t76))))) % 0.46/0.90 (assume @p280 (forall @t83 (or @t318 (= (tptp.c_Polynomial_Osmult @t3 @t319 @t1) (tptp.c_HOL_Ominus__class_Ominus @t81 @t84 @t76))))) % 0.46/0.90 (assume @p281 (forall @t129 (or @t179 (not (tptp.c_HOL_Oord__class_Oless @t157 @t64 @t1))))) % 0.46/0.90 (assume @p282 (forall @t129 (or @t179 (tptp.c_lessequals @t64 @t157 @t1)))) % 0.46/0.90 (assume @p283 (forall (@list @t1 @t3 @t221) (or @t66 (= (tptp.c_HOL_Oplus__class_Oplus @t222 @t221 @t1) @t320)))) % 0.46/0.90 (assume @p284 (forall (@list @t1 @t221 @t3) (or @t66 (= (tptp.c_HOL_Oplus__class_Oplus @t221 @t222 @t1) @t320)))) % 0.46/0.90 (assume @p285 (forall @t323 (or @t107 @t106 (= (tptp.c_HOL_Otimes__class_Otimes @t98 @t103 @t1) (tptp.c_HOL_Oplus__class_Oplus @t322 @t321 @t1))))) % 0.46/0.90 (assume @p286 (forall @t46 (or @t34 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t18 @t1) @t19 @t1) (tptp.c_HOL_Oabs__class_Oabs @t310 @t1)) @t151))) % 0.46/0.90 (assume @p287 (forall @t50 (or @t34 @t70 (= (tptp.c_HOL_Oabs__class_Oabs @t101 @t1) @t101) (tptp.c_HOL_Oord__class_Oless @t101 @t64 @t1)))) % 0.46/0.90 (assume @p288 (forall @t35 (or @t100 @t315 @t205 @t86))) % 0.46/0.90 (assume @p289 (forall @t129 (or @t179 (not (tptp.c_lessequals @t157 @t64 @t1))))) % 0.46/0.90 (assume @p290 (forall @t35 (or @t276 @t324 @t44))) % 0.46/0.90 (assume @p291 (forall @t35 (or @t276 @t43 (not @t324)))) % 0.46/0.90 (assume @p292 (forall @t67 (or @t88 (not (tptp.c_HOL_Oord__class_Oless @t33 @t64 @t1))))) % 0.46/0.90 (assume @p293 (tptp.c_HOL_Oord__class_Oless @t73 @t156 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p294 (forall @t129 (or @t179 (tptp.c_HOL_Oord__class_Oless @t64 @t157 @t1)))) % 0.46/0.90 (assume @p295 (forall (@list @t1 @t167 @t102) (or @t42 @t106 (not @t327) (not @t326)))) % 0.46/0.90 (assume @p296 (forall (@list @t1 @t102 @t167) (or @t42 @t106 @t326 @t327))) % 0.46/0.90 (assume @p297 (forall @t35 (or @t88 (tptp.c_lessequals @t134 @t115 @t1)))) % 0.46/0.90 (assume @p298 (forall @t67 (or @t131 @t161 (not @t328)))) % 0.46/0.90 (assume @p299 (forall @t67 (or @t131 @t328 @t162))) % 0.46/0.90 (assume @p300 (forall @t67 (or @t42 @t166 @t87 @t95))) % 0.46/0.90 (assume @p301 (forall @t67 (or (not (tptp.class_Ring__and__Field_Oabs__if @t1)) @t87 @t95))) % 0.46/0.90 (assume @p302 (forall @t35 (or @t88 (= (tptp.c_HOL_Oabs__class_Oabs @t115 @t1) @t115)))) % 0.46/0.90 (assume @p303 (forall @t67 (or @t88 (not (= @t33 @t64)) @t149))) % 0.46/0.90 (assume @p304 (forall @t129 (or @t88 (not (tptp.c_HOL_Oord__class_Oless @t64 @t128 @t1))))) % 0.46/0.90 (assume @p305 (forall @t50 (or @t23 @t49))) % 0.46/0.90 (assume @p306 (forall @t50 (or @t25 @t49))) % 0.46/0.90 (assume @p307 (forall (@list @t330 @t331 @t329) (or (tptp.c_lessequals @t330 @t331 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t329 @t331 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t330 @t329 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p308 (forall @t332 (tptp.c_lessequals @t167 @t167 tptp.tc_RealDef_Oreal))) % 0.46/0.90 (assume @p309 (forall (@list @t1 @t3 @t2 @t26 @t6) (or @t276 (tptp.c_lessequals @t3 @t28 @t1) @t63 (not (tptp.c_lessequals @t3 @t7 @t1))))) % 0.46/0.90 (assume @p310 (forall @t54 (or @t23 (tptp.c_lessequals @t19 @t51 @t1) @t55 @t31))) % 0.46/0.90 (assume @p311 (forall @t35 (or @t100 (tptp.c_lessequals @t98 @t64 @t1) @t160 @t162))) % 0.46/0.90 (assume @p312 (forall @t58 (or @t25 (tptp.c_lessequals @t51 @t19 @t1) @t61 @t45))) % 0.46/0.90 (assume @p313 (forall (@list @t1 @t19 @t6 @t18) (or @t137 @t92 (not (tptp.c_lessequals @t136 (tptp.c_HOL_Otimes__class_Otimes @t6 @t333 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t6 @t73 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p314 (forall @t129 (or @t93 (= @t165 @t64)))) % 0.46/0.90 (assume @p315 (forall @t67 (or @t88 (tptp.c_lessequals @t64 @t33 @t1)))) % 0.46/0.90 (assume @p316 (forall @t46 (or @t42 @t32 @t22))) % 0.46/0.90 (assume @p317 (forall (@list @t167 @t51) (or @t169 @t168))) % 0.46/0.90 (assume @p318 (forall @t35 (or @t198 @t299 @t205 @t96))) % 0.46/0.90 (assume @p319 (forall @t40 (or @t198 @t204 @t86 (not (tptp.c_HOL_Oord__class_Oless @t64 @t298 @t1))))) % 0.46/0.90 (assume @p320 (forall @t40 (or @t198 @t204 @t86 (not @t334)))) % 0.46/0.90 (assume @p321 (forall @t35 (or @t198 @t334 @t205 @t86))) % 0.46/0.90 (assume @p322 (forall @t35 (or @t93 @t334 @t97 @t96))) % 0.46/0.90 (assume @p323 (forall @t308 (or @t34 (tptp.c_HOL_Oord__class_Oless @t138 (tptp.c_HOL_Otimes__class_Otimes @t6 @t26 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t114 @t26 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t33 @t6 @t1))))) % 0.46/0.90 (assume @p324 (forall @t17 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t201 @t195 @t5))) % 0.46/0.90 (assume @p325 (forall @t11 (or @t93 @t199 @t335 @t208))) % 0.46/0.90 (assume @p326 (forall @t11 (or @t93 @t199 @t5 @t195))) % 0.46/0.90 (assume @p327 (forall @t11 (or @t198 @t199 @t195 @t5))) % 0.46/0.90 (assume @p328 (forall @t11 (or @t93 @t199 @t208 @t335))) % 0.46/0.90 (assume @p329 (forall @t17 (or @t93 @t201 @t335 @t208))) % 0.46/0.90 (assume @p330 (forall @t17 (or @t93 @t201 @t5 @t195))) % 0.46/0.90 (assume @p331 (forall @t17 (or @t198 @t201 @t195 @t5))) % 0.46/0.90 (assume @p332 (forall @t17 (or @t93 @t201 @t208 @t335))) % 0.46/0.90 (assume @p333 (forall @t12 (or @t93 @t4 @t202 @t195))) % 0.46/0.90 (assume @p334 (forall @t113 (or @t93 @t39 @t202 @t208))) % 0.46/0.90 (assume @p335 (forall (@list @t1 @t221 @t336) (or @t179 (tptp.c_HOL_Oord__class_Oless @t157 (tptp.c_HOL_Otimes__class_Otimes @t221 @t336 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t157 @t336 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t157 @t221 @t1))))) % 0.46/0.90 (assume @p336 (forall @t35 (or @t276 @t4 (not @t337)))) % 0.46/0.90 (assume @p337 (forall @t35 (or @t276 @t337 @t5))) % 0.46/0.90 (assume @p338 (forall (@list @t1 @t3 @t191 @t19) (or @t34 @t257 @t254))) % 0.46/0.90 (assume @p339 (forall @t264 (or @t339 @t338 (= @t6 @t259)))) % 0.46/0.90 (assume @p340 (forall @t264 (or @t339 @t338 (= @t267 @t26)))) % 0.46/0.90 (assume @p341 (forall (@list @t1 @t3 @t247 @t6 @t2) (or @t339 (= @t262 (tptp.c_HOL_Oplus__class_Oplus @t248 @t267 @t1))))) % 0.46/0.90 (assume @p342 (forall @t323 (or @t339 @t106 (= (tptp.c_HOL_Otimes__class_Otimes @t133 @t103 @t1) (tptp.c_HOL_Ominus__class_Ominus @t322 @t321 @t1))))) % 0.46/0.90 (assume @p343 (forall @t108 (or @t339 @t106 (= (tptp.c_HOL_Otimes__class_Otimes @t103 (tptp.c_HOL_Ominus__class_Ominus @t2 @t6 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t105 @t104 @t1))))) % 0.46/0.90 (assume @p344 (forall (@list @t1 @t3 @t247 @t2 @t26) (or @t339 (= (tptp.c_HOL_Oplus__class_Oplus @t249 @t259 @t1) @t261)))) % 0.46/0.90 (assume @p345 (forall (@list @t1 @t19 @t18 @t3 @t2) (or @t216 (= (tptp.c_HOL_Ominus__class_Ominus @t219 @t139 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t252 @t340 @t1) (tptp.c_HOL_Otimes__class_Otimes @t252 @t2 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t340 @t1) @t1))))) % 0.46/0.90 (assume @p346 (forall @t24 (or @t144 (= (tptp.c_RealVector_Oof__real @t341 @t1) (tptp.c_HOL_Otimes__class_Otimes @t143 @t142 @t1))))) % 0.46/0.90 (assume @p347 (forall @t342 (or @t300 (tptp.c_HOL_Oord__class_Oless @t73 (tptp.c_HOL_Otimes__class_Otimes @t19 @t19 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p348 (not (tptp.c_HOL_Oord__class_Oless @t73 (tptp.c_HOL_Otimes__class_Otimes @t73 @t73 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.46/0.90 (assume @p349 (forall @t285 (or (tptp.c_HOL_Oord__class_Oless @t73 @t341 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t73 @t18 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t73 @t19 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p350 (forall @t291 (or (tptp.c_HOL_Oord__class_Oless @t289 @t288 tptp.tc_RealDef_Oreal) @t283 @t287))) % 0.46/0.90 (assume @p351 (forall @t296 (or @t343 @t283 @t287))) % 0.46/0.90 (assume @p352 (forall @t292 (or @t282 (not @t343) @t287))) % 0.46/0.90 (assume @p353 (forall @t24 (or (not (tptp.class_RealVector_Odist__norm @t1)) (= @t74 (tptp.c_RealVector_Onorm__class_Onorm @t274 @t1))))) % 0.46/0.90 (assume @p354 (forall @t50 (or @t137 (not (tptp.c_HOL_Oord__class_Oless @t136 @t73 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p355 (forall @t346 (or @t82 (= (tptp.c_Polynomial_Opoly @t79 @t19 @t1) (tptp.c_HOL_Otimes__class_Otimes @t345 @t344 @t1))))) % 0.46/0.90 (assume @p356 (forall (@list @t1 @t3 @t78 @t19) (or @t82 (= (tptp.c_Polynomial_Opoly @t81 @t19 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t345 @t1))))) % 0.46/0.90 (assume @p357 (forall @t346 (or @t318 (= (tptp.c_Polynomial_Opoly @t319 @t19 @t1) (tptp.c_HOL_Ominus__class_Ominus @t345 @t344 @t1))))) % 0.46/0.90 (assume @p358 (forall @t285 (= (tptp.c_RealVector_Odist__class_Odist @t19 @t18 tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)))) % 0.46/0.90 (assume @p359 (tptp.c_HOL_Oord__class_Oless @t73 tptp.v_e tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p360 (tptp.c_HOL_Oord__class_Oless @t73 @t347 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p361 (tptp.c_HOL_Oord__class_Oless @t73 @t348 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p362 (tptp.c_lessequals @t350 @t156 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p363 (tptp.c_lessequals @t350 tptp.v_da____ tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p364 (forall @t264 (or @t190 @t352 (not @t351)))) % 0.46/0.90 (assume @p365 (forall @t266 (or @t190 @t351 @t353))) % 0.46/0.90 (assume @p366 (forall @t264 (or @t190 @t352 (not @t354)))) % 0.46/0.90 (assume @p367 (forall @t269 (or @t190 @t354 @t353))) % 0.46/0.90 (assume @p368 (forall @t24 (or @t216 (tptp.c_lessequals @t356 @t355 tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p369 (forall @t332 (or @t360 (not (tptp.c_HOL_Oord__class_Oless @t358 @t348 tptp.tc_RealDef_Oreal)) @t359))) % 0.46/0.90 (assume @p370 (forall @t332 (or @t360 (not (tptp.c_HOL_Oord__class_Oless @t358 @t347 tptp.tc_RealDef_Oreal)) @t359))) % 0.46/0.90 (assume @p371 (tptp.c_HOL_Oord__class_Oless @t350 tptp.v_da____ tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p372 (forall @t35 (or @t25 @t5 @t335))) % 0.46/0.90 (assume @p373 (forall @t24 (or @t42 @t21 @t60))) % 0.46/0.90 (assume @p374 (forall @t46 (or @t23 @t60 @t21))) % 0.46/0.90 (assume @p375 (forall @t40 (or @t23 @t335 @t5))) % 0.46/0.90 (assume @p376 (forall @t50 (or @t23 @t48))) % 0.46/0.90 (assume @p377 (forall @t342 (not (tptp.c_HOL_Oord__class_Oless @t19 @t19 tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p378 (forall @t50 (or @t25 @t48))) % 0.46/0.90 (assume @p379 (forall @t50 (or @t42 @t48))) % 0.46/0.90 (assume @p380 (forall @t24 (or (not (tptp.class_RealVector_Oreal__normed__div__algebra @t1)) (= @t356 @t355)))) % 0.46/0.90 (assume @p381 (forall @t113 (or @t93 @t39 @t4 @t200))) % 0.46/0.90 (assume @p382 (forall @t113 (or @t93 @t39 @t4 @t202))) % 0.46/0.90 (assume @p383 (forall @t126 (or @t66 (= (tptp.c_HOL_Otimes__class_Otimes @t19 (tptp.c_HOL_Otimes__class_Otimes @t18 @t51 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t219 @t51 @t1))))) % 0.46/0.90 (assume @p384 (forall (@list @t363 @t362 @t361) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t363 @t362 tptp.tc_RealDef_Oreal) @t361 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t363 (tptp.c_HOL_Otimes__class_Otimes @t362 @t361 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p385 (forall @t369 (or @t66 (= @t368 (tptp.c_HOL_Otimes__class_Otimes @t366 (tptp.c_HOL_Otimes__class_Otimes @t365 @t364 @t1) @t1))))) % 0.46/0.90 (assume @p386 (forall @t369 (or @t66 (= @t368 (tptp.c_HOL_Otimes__class_Otimes @t370 @t364 @t1))))) % 0.46/0.90 (assume @p387 (forall @t374 (or @t66 (= @t373 (tptp.c_HOL_Otimes__class_Otimes @t365 (tptp.c_HOL_Otimes__class_Otimes @t371 @t366 @t1) @t1))))) % 0.46/0.90 (assume @p388 (forall @t374 (or @t66 (= @t373 (tptp.c_HOL_Otimes__class_Otimes @t370 @t371 @t1))))) % 0.46/0.90 (assume @p389 (forall @t12 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t139 @t6 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t186 @t1))))) % 0.46/0.90 (assume @p390 (forall (@list @t1 @t19 @t18 @t191 @t375) (or @t216 (tptp.c_HOL_Oord__class_Oless @t356 (tptp.c_HOL_Otimes__class_Otimes @t191 @t375 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t333 @t375 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t136 @t191 tptp.tc_RealDef_Oreal))))) % 0.46/0.90 (assume @p391 (forall @t277 (or @t276 @t275 @t376 @t21))) % 0.46/0.90 (assume @p392 (forall @t277 (or @t276 @t275 @t20 (not @t376)))) % 0.46/0.90 (assume @p393 (forall @t50 (or @t377 (= @t89 @t19)))) % 0.46/0.90 (assume @p394 (forall @t24 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t19 @t219 @t1) @t219)))) % 0.46/0.90 (assume @p395 (forall @t46 (or @t34 @t59 @t20 @t41))) % 0.46/0.90 (assume @p396 (forall @t24 (or @t42 @t41 @t59 @t20))) % 0.46/0.90 (assume @p397 (forall @t24 (or @t42 @t41 @t20 @t59))) % 0.46/0.90 (assume @p398 (forall @t46 (or @t42 @t59 @t41 @t20))) % 0.46/0.90 (assume @p399 (forall @t46 (or @t42 @t59 @t20 @t41))) % 0.46/0.90 (assume @p400 (forall @t379 (or @t66 (= @t378 (tptp.c_HOL_Otimes__class_Otimes @t366 (tptp.c_HOL_Otimes__class_Otimes @t372 @t364 @t1) @t1))))) % 0.46/0.90 (assume @p401 (forall @t379 (or @t66 (= @t378 (tptp.c_HOL_Otimes__class_Otimes @t365 (tptp.c_HOL_Otimes__class_Otimes @t371 @t367 @t1) @t1))))) % 0.46/0.90 (assume @p402 (forall @t379 (or @t66 (= @t378 (tptp.c_HOL_Otimes__class_Otimes @t370 (tptp.c_HOL_Otimes__class_Otimes @t371 @t364 @t1) @t1))))) % 0.46/0.90 (assume @p403 (not (= tptp.v_w____ tptp.v_z))) % 0.46/0.90 (assume @p404 (forall @t24 (or @t66 (= @t219 @t310)))) % 0.46/0.90 (assume @p405 (forall @t170 (= (tptp.c_HOL_Otimes__class_Otimes @t51 @t167 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t167 @t51 tptp.tc_RealDef_Oreal)))) % 0.46/0.90 (assume @p406 (forall @t35 (or @t66 (= @t139 @t298)))) % 0.46/0.90 (assume @p407 (forall @t58 (or @t25 @t57 @t56 @t60))) % 0.46/0.90 (assume @p408 (forall @t54 (or @t23 @t53 @t52 @t21))) % 0.46/0.90 (assume @p409 (forall (@list @t1 @t19 @t270 @t271) (or @t125 (not (= @t278 @t273)) (= @t270 @t271)))) % 0.46/0.90 (assume @p410 (forall (@list @t1 @t235 @t18 @t19) (or @t125 (not (= (tptp.c_HOL_Ominus__class_Ominus @t235 @t18 @t1) @t278)) (= @t235 @t18)))) % 0.46/0.90 (assume @p411 (forall @t238 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes @t235 @t274 @t1) (tptp.c_HOL_Ominus__class_Ominus @t237 @t236 @t1))))) % 0.46/0.90 (assume @p412 (forall @t234 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes @t3 (tptp.c_HOL_Ominus__class_Ominus @t2 @t232 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t139 @t233 @t1))))) % 0.46/0.90 (assume @p413 (forall @t227 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t3 @t225 @t1) @t2 @t1) (tptp.c_HOL_Ominus__class_Ominus @t139 @t226 @t1))))) % 0.46/0.90 (assume @p414 (forall @t231 (or @t216 (= (tptp.c_HOL_Otimes__class_Otimes @t274 @t228 @t1) (tptp.c_HOL_Ominus__class_Ominus @t230 @t229 @t1))))) % 0.46/0.90 (assume @p415 (forall @t35 (or @t137 (= (tptp.c_RealVector_Onorm__class_Onorm @t133 @t1) (tptp.c_RealVector_Onorm__class_Onorm @t258 @t1))))) % 0.46/0.90 (assume @p416 @t381) % 0.46/0.90 (assume @p417 @t383) % 0.46/0.90 (assume @p418 (not @t384)) % 0.46/0.90 (assume @p419 (forall @t388 (or (tptp.class_OrderedGroup_Ocancel__comm__monoid__add @t387) @t386))) % 0.46/0.90 (assume @p420 (forall @t388 (or (tptp.class_Ring__and__Field_Ocomm__ring__1 @t387) @t389))) % 0.46/0.90 (assume @p421 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p422 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p423 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p424 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p425 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p426 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p427 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p428 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p429 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p430 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p431 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p432 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p433 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p434 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p435 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p436 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p437 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p438 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p439 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p440 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p441 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p442 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p443 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p444 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p445 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p446 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p447 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p448 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p449 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p450 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p451 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p452 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p453 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p454 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p455 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p456 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p457 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p458 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p459 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p460 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p461 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p462 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p463 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p464 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p465 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p466 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p467 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p468 (tptp.class_Ring__and__Field_Oring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p469 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p470 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p471 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p472 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p473 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p474 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p475 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 0.46/0.90 (assume @p476 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p477 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p478 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p479 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p480 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p481 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p482 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p483 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p484 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p485 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p486 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p487 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p488 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p489 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p490 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p491 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p492 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p493 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p494 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p495 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p496 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p497 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p498 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p499 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p500 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p501 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p502 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p503 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p504 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p505 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p506 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p507 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p508 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p509 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p510 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p511 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p512 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p513 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p514 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p515 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p516 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p517 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p518 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p519 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p520 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p521 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p522 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p523 (tptp.class_RealVector_Odist__norm tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p524 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p525 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p526 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p527 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p528 @t390) % 0.46/0.90 (assume @p529 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p530 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p531 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 0.46/0.90 (assume @p532 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p533 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p534 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p535 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p536 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p537 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p538 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p539 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p540 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p541 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p542 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p543 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p544 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p545 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p546 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p547 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p548 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p549 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p550 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p551 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p552 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p553 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p554 (tptp.class_RealVector_Ometric__space tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p555 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p556 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p557 (tptp.class_RealVector_Odist__norm tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p558 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p559 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p560 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p561 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p562 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 0.46/0.90 (assume @p563 (forall @t388 (or (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t387) @t391))) % 0.46/0.90 (assume @p564 (forall @t388 (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t387) @t391))) % 0.46/0.90 (assume @p565 (forall @t388 (or (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t387) @t391))) % 0.46/0.90 (assume @p566 (forall @t388 (or (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t387) @t391))) % 0.46/0.90 (assume @p567 (forall @t388 (or (tptp.class_Ring__and__Field_Oordered__semiring__strict @t387) @t391))) % 0.46/0.90 (assume @p568 (forall @t388 (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t387) @t391))) % 0.46/0.90 (assume @p569 (forall @t388 (or (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t387) @t391))) % 0.46/0.90 (assume @p570 (forall @t388 (or (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t387) @t391))) % 0.46/0.90 (assume @p571 (forall @t388 (or (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t387) @t392))) % 0.46/0.90 (assume @p572 (forall @t388 (or (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t387) @t386))) % 0.46/0.90 (assume @p573 (forall @t388 (or (tptp.class_Ring__and__Field_Oordered__ring__strict @t387) @t391))) % 0.46/0.90 (assume @p574 (forall @t388 (or (tptp.class_OrderedGroup_Opordered__ab__group__add @t387) @t391))) % 0.46/0.90 (assume @p575 (forall @t388 (or (tptp.class_OrderedGroup_Ocancel__semigroup__add @t387) @t386))) % 0.46/0.90 (assume @p576 (forall @t388 (or (tptp.class_Ring__and__Field_Opordered__semiring @t387) @t391))) % 0.46/0.90 (assume @p577 (forall @t388 (or (tptp.class_Ring__and__Field_Opordered__ring__abs @t387) @t391))) % 0.46/0.90 (assume @p578 (forall @t388 (or (tptp.class_Ring__and__Field_Oordered__semiring @t387) @t391))) % 0.46/0.90 (assume @p579 (forall @t388 (or (tptp.class_Ring__and__Field_Ono__zero__divisors @t387) @t392))) % 0.46/0.90 (assume @p580 (forall @t388 (or (tptp.class_Ring__and__Field_Oordered__semidom @t387) @t391))) % 0.46/0.90 (assume @p581 (forall @t388 (or (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t387) @t393))) % 0.46/0.90 (assume @p582 (forall @t388 (or (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t387) @t394))) % 0.46/0.90 (assume @p583 (forall @t388 (or (tptp.class_OrderedGroup_Oab__semigroup__mult @t387) @t394))) % 0.46/0.90 (assume @p584 (forall @t388 (or (tptp.class_OrderedGroup_Ocomm__monoid__mult @t387) @t393))) % 0.46/0.90 (assume @p585 (forall @t388 (or (tptp.class_OrderedGroup_Oab__semigroup__add @t387) @t395))) % 0.46/0.90 (assume @p586 (forall @t388 (or (tptp.class_Ring__and__Field_Opordered__ring @t387) @t391))) % 0.46/0.90 (assume @p587 (forall @t388 (or (tptp.class_Ring__and__Field_Ocomm__semiring @t387) @t394))) % 0.46/0.90 (assume @p588 (forall @t388 (or (tptp.class_OrderedGroup_Ocomm__monoid__add @t387) @t395))) % 0.46/0.90 (assume @p589 (forall @t388 (or (tptp.class_Ring__and__Field_Ozero__neq__one @t387) @t393))) % 0.46/0.90 (assume @p590 (forall @t388 (or (tptp.class_Ring__and__Field_Oordered__idom @t387) @t391))) % 0.46/0.90 (assume @p591 (forall @t388 (or (tptp.class_Ring__and__Field_Omult__mono1 @t387) @t391))) % 0.46/0.90 (assume @p592 (forall @t388 (or (tptp.class_OrderedGroup_Oab__group__add @t387) @t396))) % 0.46/0.90 (assume @p593 (forall @t388 (or (tptp.class_Ring__and__Field_Omult__zero @t387) @t394))) % 0.46/0.90 (assume @p594 (forall @t388 (or (tptp.class_Ring__and__Field_Omult__mono @t387) @t391))) % 0.46/0.90 (assume @p595 (forall @t388 (or (tptp.class_Ring__and__Field_Ocomm__ring @t387) @t397))) % 0.46/0.90 (assume @p596 (forall @t388 (or (tptp.class_OrderedGroup_Omonoid__mult @t387) @t393))) % 0.46/0.90 (assume @p597 (forall @t388 (or (tptp.class_Ring__and__Field_Osemiring @t387) @t394))) % 0.46/0.90 (assume @p598 (forall @t388 (or (tptp.class_OrderedGroup_Omonoid__add @t387) @t395))) % 0.46/0.90 (assume @p599 (forall @t388 (or (tptp.class_OrderedGroup_Ogroup__add @t387) @t396))) % 0.46/0.90 (assume @p600 (forall @t388 (or (tptp.class_Ring__and__Field_Oabs__if @t387) @t391))) % 0.46/0.90 (assume @p601 (forall @t388 (or (tptp.class_Ring__and__Field_Oring @t387) @t397))) % 0.46/0.90 (assume @p602 (forall @t388 (or (tptp.class_Ring__and__Field_Oidom @t387) @t392))) % 0.46/0.90 (assume @p603 (forall @t388 (or (tptp.class_Orderings_Opreorder @t387) @t391))) % 0.46/0.90 (assume @p604 (forall @t388 (or (tptp.class_Orderings_Olinorder @t387) @t391))) % 0.46/0.90 (assume @p605 (forall @t388 (or (tptp.class_Orderings_Oorder @t387) @t391))) % 0.46/0.90 (assume @p606 (forall @t388 (or (tptp.class_Int_Oring__char__0 @t387) @t391))) % 0.46/0.90 (assume @p607 (forall @t388 (or (tptp.class_Int_Onumber__ring @t387) @t389))) % 0.46/0.90 (assume @p608 (forall @t388 (or (tptp.class_Int_Onumber @t387) @t389))) % 0.46/0.90 (step @p609 :rule cnf_or_pos :args (@t401)) % 0.46/0.90 (step @p610 :rule reordering :premises (@p609) :args ((or @t384 @t398 @t399 @t400 @t402))) % 0.46/0.90 (step @p611 :rule chain_m_resolution :premises (@p610 @p418 @p416 @p417 @p528) :args (@t402 (@list true false false false) (@list @t384 @t381 @t383 @t390))) % 0.46/0.90 (assume-push @p618 @t62) % 0.46/0.90 (step @p613 :rule instantiate :premises (@p26) :args ((@list tptp.tc_RealDef_Oreal @t382 tptp.v_e @t380))) % 0.46/0.90 (step-pop @p619 :rule scope :premises (@p613)) % 0.46/0.90 (step @p614 :rule process_scope :premises (@p619) :args (@t401)) % 0.46/0.90 (step @p616 :rule implies_elim :premises (@p614)) % 0.46/0.90 (step @p617 false :rule chain_m_resolution :premises (@p616 @p611 @p26) :args (false (@list true false) (@list @t401 @t62))) % 0.46/0.90 ) % 0.46/0.90 % SZS output end Proof % 0.46/0.90 % cvc5 exiting %------------------------------------------------------------------------------