%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG362-1 : 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 : n025.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 08:05:50 AM UTC 2026 % Result : Unsatisfiable 1.02s 1.26s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG362-1 : 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 : n025.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 02:09:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.26 % SZS status Unsatisfiable % 1.02/1.26 % SZS output start Proof % 1.02/1.29 ( % 1.02/1.29 (declare-sort $$unsorted 0) % 1.02/1.29 (declare-const tptp.tc_nat $$unsorted) % 1.02/1.29 (declare-const tptp.v_n____ $$unsorted) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Complex_ORe (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Olordered__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Transcendental_Ocos (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Transcendental_Osin (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_RealVector_OscaleR__class_OscaleR (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Ometric__space (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__vector (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.02/1.29 (declare-const tptp.c_RealVector_Odist__class_Odist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Opordered__ring__abs (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.v_r $$unsorted) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_NthRoot_Osqrt (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Odist__norm (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Odivision__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.v_s $$unsorted) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.02/1.29 (define @t1 () (@var "T_a" $$unsorted)) % 1.02/1.29 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 1.02/1.29 (define @t3 () (@var "V_a" $$unsorted)) % 1.02/1.29 (define @t4 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 1.02/1.29 (define @t5 () (@list @t1 @t3)) % 1.02/1.29 (define @t6 () (@var "V_x" $$unsorted)) % 1.02/1.29 (define @t7 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t6 @t1)) % 1.02/1.29 (define @t8 () (= @t7 @t2)) % 1.02/1.29 (define @t9 () (not (tptp.class_Int_Onumber__ring @t1))) % 1.02/1.29 (define @t10 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 1.02/1.29 (define @t11 () (@list @t1 @t6)) % 1.02/1.29 (define @t12 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 1.02/1.29 (define @t13 () (not @t12)) % 1.02/1.29 (define @t14 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t1)) % 1.02/1.29 (define @t15 () (tptp.c_HOL_Oabs__class_Oabs @t3 @t1)) % 1.02/1.29 (define @t16 () (= @t15 @t14)) % 1.02/1.29 (define @t17 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t1))) % 1.02/1.29 (define @t18 () (not (tptp.class_Ring__and__Field_Oabs__if @t1))) % 1.02/1.29 (define @t19 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t1))) % 1.02/1.29 (define @t20 () (not (tptp.class_Orderings_Olinorder @t1))) % 1.02/1.29 (define @t21 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t22 () (@var "V_r" $$unsorted)) % 1.02/1.29 (define @t23 () (tptp.c_HOL_Oord__class_Oless @t22 @t21 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t24 () (tptp.c_HOL_Ouminus__class_Ouminus @t22 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t25 () (tptp.c_HOL_Oabs__class_Oabs @t22 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t26 () (@list @t22)) % 1.02/1.29 (define @t27 () (@var "V_b" $$unsorted)) % 1.02/1.29 (define @t28 () (= @t3 @t27)) % 1.02/1.29 (define @t29 () (tptp.c_HOL_Ouminus__class_Ouminus @t27 @t1)) % 1.02/1.29 (define @t30 () (= @t3 @t29)) % 1.02/1.29 (define @t31 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t27 @t1)) % 1.02/1.29 (define @t32 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1)) % 1.02/1.29 (define @t33 () (@list @t1 @t3 @t27)) % 1.02/1.29 (define @t34 () (@var "V_c" $$unsorted)) % 1.02/1.29 (define @t35 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t34 @t1)) % 1.02/1.29 (define @t36 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t34 @t1)) % 1.02/1.29 (define @t37 () (tptp.c_HOL_Oord__class_Oless @t36 @t35 @t1)) % 1.02/1.29 (define @t38 () (not @t37)) % 1.02/1.29 (define @t39 () (not (tptp.c_lessequals @t2 @t34 @t1))) % 1.02/1.29 (define @t40 () (tptp.c_HOL_Oord__class_Oless @t3 @t27 @t1)) % 1.02/1.29 (define @t41 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 1.02/1.29 (define @t42 () (@list @t1 @t3 @t27 @t34)) % 1.02/1.29 (define @t43 () (tptp.c_HOL_Otimes__class_Otimes @t34 @t27 @t1)) % 1.02/1.29 (define @t44 () (tptp.c_HOL_Otimes__class_Otimes @t34 @t3 @t1)) % 1.02/1.29 (define @t45 () (tptp.c_HOL_Oord__class_Oless @t44 @t43 @t1)) % 1.02/1.29 (define @t46 () (not @t45)) % 1.02/1.29 (define @t47 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 1.02/1.29 (define @t48 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t49 () (tptp.c_RealVector_Odist__class_Odist @t6 @t6 @t1)) % 1.02/1.29 (define @t50 () (not (tptp.class_RealVector_Ometric__space @t1))) % 1.02/1.29 (define @t51 () (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t6 @t1)) % 1.02/1.29 (define @t52 () (tptp.c_HOL_Ouminus__class_Ouminus @t51 @t1)) % 1.02/1.29 (define @t53 () (tptp.c_HOL_Ouminus__class_Ouminus @t6 @t1)) % 1.02/1.29 (define @t54 () (not (tptp.class_RealVector_Oreal__vector @t1))) % 1.02/1.29 (define @t55 () (@list @t1 @t3 @t6)) % 1.02/1.29 (define @t56 () (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t27 @t1)) % 1.02/1.29 (define @t57 () (tptp.c_HOL_Ouminus__class_Ouminus @t56 @t1)) % 1.02/1.29 (define @t58 () (not (tptp.class_RealVector_Oreal__normed__vector @t1))) % 1.02/1.29 (define @t59 () (@var "V_xa" $$unsorted)) % 1.02/1.29 (define @t60 () (tptp.c_RealVector_OscaleR__class_OscaleR @t6 @t59 @t1)) % 1.02/1.29 (define @t61 () (tptp.c_HOL_Ouminus__class_Ouminus @t6 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t62 () (= @t6 @t2)) % 1.02/1.29 (define @t63 () (tptp.c_RealVector_Onorm__class_Onorm @t6 @t1)) % 1.02/1.29 (define @t64 () (@var "V_y" $$unsorted)) % 1.02/1.29 (define @t65 () (= @t6 @t64)) % 1.02/1.29 (define @t66 () (tptp.c_RealVector_Oof__real @t64 @t1)) % 1.02/1.29 (define @t67 () (tptp.c_RealVector_Oof__real @t6 @t1)) % 1.02/1.29 (define @t68 () (not (tptp.class_RealVector_Oreal__algebra__1 @t1))) % 1.02/1.29 (define @t69 () (@list @t1 @t6 @t64)) % 1.02/1.29 (define @t70 () (@var "V_d" $$unsorted)) % 1.02/1.29 (define @t71 () (@var "V_e" $$unsorted)) % 1.02/1.29 (define @t72 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t71 @t1)) % 1.02/1.29 (define @t73 () (tptp.c_HOL_Oplus__class_Oplus @t72 @t70 @t1)) % 1.02/1.29 (define @t74 () (tptp.c_HOL_Ominus__class_Ominus @t27 @t3 @t1)) % 1.02/1.29 (define @t75 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t74 @t71 @t1) @t70 @t1)) % 1.02/1.29 (define @t76 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t71 @t1)) % 1.02/1.29 (define @t77 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 1.02/1.29 (define @t78 () (tptp.c_RealVector_Onorm__class_Onorm @t2 @t1)) % 1.02/1.29 (define @t79 () (@list @t1)) % 1.02/1.29 (define @t80 () (not @t40)) % 1.02/1.29 (define @t81 () (not (tptp.c_HOL_Oord__class_Oless @t34 @t70 @t1))) % 1.02/1.29 (define @t82 () (tptp.c_HOL_Oord__class_Oless @t2 @t27 @t1)) % 1.02/1.29 (define @t83 () (not @t82)) % 1.02/1.29 (define @t84 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t70 @t1)) % 1.02/1.29 (define @t85 () (tptp.c_HOL_Oord__class_Oless @t36 @t84 @t1)) % 1.02/1.29 (define @t86 () (@list @t1 @t3 @t34 @t27 @t70)) % 1.02/1.29 (define @t87 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 1.02/1.29 (define @t88 () (not @t87)) % 1.02/1.29 (define @t89 () (tptp.c_HOL_Oord__class_Oless @t14 @t2 @t1)) % 1.02/1.29 (define @t90 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 1.02/1.29 (define @t91 () (tptp.c_HOL_Oabs__class_Oabs @t27 @t1)) % 1.02/1.29 (define @t92 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t91 @t1)) % 1.02/1.29 (define @t93 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 1.02/1.29 (define @t94 () (@list @t1 @t3 @t27 @t34 @t70)) % 1.02/1.29 (define @t95 () (tptp.c_HOL_Oinverse__class_Oinverse @t3 @t1)) % 1.02/1.29 (define @t96 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t95 @t1) @t3)) % 1.02/1.29 (define @t97 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t1))) % 1.02/1.29 (define @t98 () (not (tptp.class_Ring__and__Field_Odivision__ring @t1))) % 1.02/1.29 (define @t99 () (tptp.c_NthRoot_Osqrt @t6)) % 1.02/1.29 (define @t100 () (tptp.c_HOL_Oord__class_Oless @t99 @t21 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t101 () (tptp.c_HOL_Oord__class_Oless @t6 @t21 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t102 () (@list @t6)) % 1.02/1.29 (define @t103 () (tptp.c_HOL_Otimes__class_Otimes @t64 @t6 @t1)) % 1.02/1.29 (define @t104 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t64 @t1)) % 1.02/1.29 (define @t105 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 1.02/1.29 (define @t106 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t3 @t1)) % 1.02/1.29 (define @t107 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t27 @t1)) % 1.02/1.29 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t64 @t6 @t1)) % 1.02/1.29 (define @t109 () (not @t108)) % 1.02/1.29 (define @t110 () (@var "V_z" $$unsorted)) % 1.02/1.29 (define @t111 () (not (tptp.c_HOL_Oord__class_Oless @t110 @t64 @t1))) % 1.02/1.29 (define @t112 () (tptp.c_HOL_Oord__class_Oless @t110 @t6 @t1)) % 1.02/1.29 (define @t113 () (not (tptp.class_Orderings_Oorder @t1))) % 1.02/1.29 (define @t114 () (@list @t1 @t110 @t6 @t64)) % 1.02/1.29 (define @t115 () (tptp.c_HOL_Oord__class_Oless @t6 @t64 @t1)) % 1.02/1.29 (define @t116 () (not @t115)) % 1.02/1.29 (define @t117 () (not (tptp.c_HOL_Oord__class_Oless @t64 @t110 @t1))) % 1.02/1.29 (define @t118 () (tptp.c_HOL_Oord__class_Oless @t6 @t110 @t1)) % 1.02/1.29 (define @t119 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.02/1.29 (define @t120 () (@list @t1 @t6 @t110 @t64)) % 1.02/1.29 (define @t121 () (tptp.c_RealVector_Oof__real @t22 @t1)) % 1.02/1.29 (define @t122 () (tptp.c_RealVector_OscaleR__class_OscaleR @t22 @t6 @t1)) % 1.02/1.29 (define @t123 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t27 @t1)) % 1.02/1.29 (define @t124 () (tptp.c_RealVector_Onorm__class_Onorm @t123 @t1)) % 1.02/1.29 (define @t125 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t1)) % 1.02/1.29 (define @t126 () (tptp.c_RealVector_Onorm__class_Onorm @t3 @t1)) % 1.02/1.29 (define @t127 () (tptp.c_HOL_Ominus__class_Ominus @t126 @t125 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t128 () (tptp.c_lessequals @t3 @t27 @t1)) % 1.02/1.29 (define @t129 () (not @t128)) % 1.02/1.29 (define @t130 () (tptp.c_lessequals @t2 @t3 @t1)) % 1.02/1.29 (define @t131 () (not @t130)) % 1.02/1.29 (define @t132 () (@var "V_n" $$unsorted)) % 1.02/1.29 (define @t133 () (tptp.c_Power_Opower__class_Opower @t27 @t132 @t1)) % 1.02/1.29 (define @t134 () (tptp.c_Power_Opower__class_Opower @t3 @t132 @t1)) % 1.02/1.29 (define @t135 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 1.02/1.29 (define @t136 () (@var "V_y_H" $$unsorted)) % 1.02/1.29 (define @t137 () (@var "V_x_H" $$unsorted)) % 1.02/1.29 (define @t138 () (tptp.c_HOL_Ominus__class_Ominus @t137 @t136 @t1)) % 1.02/1.29 (define @t139 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 1.02/1.29 (define @t140 () (tptp.c_Power_Opower__class_Opower @t6 @t132 @t1)) % 1.02/1.29 (define @t141 () (@list @t1 @t6 @t132)) % 1.02/1.29 (define @t142 () (tptp.c_lessequals @t6 @t2 @t1)) % 1.02/1.29 (define @t143 () (tptp.c_lessequals @t36 @t35 @t1)) % 1.02/1.29 (define @t144 () (tptp.c_HOL_Oord__class_Oless @t2 @t34 @t1)) % 1.02/1.29 (define @t145 () (not @t144)) % 1.02/1.29 (define @t146 () (tptp.c_lessequals @t44 @t43 @t1)) % 1.02/1.29 (define @t147 () (not @t146)) % 1.02/1.29 (define @t148 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 1.02/1.29 (define @t149 () (@list @t1 @t34 @t3 @t27)) % 1.02/1.29 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t34 @t2 @t1)) % 1.02/1.29 (define @t151 () (not @t150)) % 1.02/1.29 (define @t152 () (tptp.c_lessequals @t27 @t3 @t1)) % 1.02/1.29 (define @t153 () (not @t152)) % 1.02/1.29 (define @t154 () (@list @t1 @t27 @t3 @t34)) % 1.02/1.29 (define @t155 () (tptp.c_HOL_Ominus__class_Ominus @t64 @t27 @t1)) % 1.02/1.29 (define @t156 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t3 @t1)) % 1.02/1.29 (define @t157 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 1.02/1.29 (define @t158 () (@list @t1 @t6 @t64 @t3 @t27)) % 1.02/1.29 (define @t159 () (tptp.c_NthRoot_Osqrt @t64)) % 1.02/1.29 (define @t160 () (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t160 @t159 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t162 () (tptp.c_HOL_Oord__class_Oless @t160 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t163 () (@list @t64)) % 1.02/1.29 (define @t164 () (tptp.c_HOL_Oinverse__class_Oinverse @t6 @t1)) % 1.02/1.29 (define @t165 () (tptp.c_HOL_Oone__class_Oone @t1)) % 1.02/1.29 (define @t166 () (tptp.c_lessequals @t165 @t164 @t1)) % 1.02/1.29 (define @t167 () (not @t166)) % 1.02/1.29 (define @t168 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 1.02/1.29 (define @t169 () (not (tptp.class_Ring__and__Field_Oordered__field @t1))) % 1.02/1.29 (define @t170 () (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t2 @t1)) % 1.02/1.29 (define @t171 () (= @t170 @t2)) % 1.02/1.29 (define @t172 () (@list @t1 @t27)) % 1.02/1.29 (define @t173 () (tptp.c_RealVector_OscaleR__class_OscaleR @t21 @t6 @t1)) % 1.02/1.29 (define @t174 () (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t3 @t1) @t2)) % 1.02/1.29 (define @t175 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t2 @t1))) % 1.02/1.29 (define @t176 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t27 @t1)) % 1.02/1.29 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t176 @t2 @t1)) % 1.02/1.29 (define @t178 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 1.02/1.29 (define @t179 () (not (= @t123 @t2))) % 1.02/1.29 (define @t180 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t64 @t1)) % 1.02/1.29 (define @t181 () (tptp.c_HOL_Otimes__class_Otimes @t59 @t64 @t1)) % 1.02/1.29 (define @t182 () (tptp.c_HOL_Otimes__class_Otimes @t59 @t6 @t1)) % 1.02/1.29 (define @t183 () (@list @t1 @t59 @t6 @t64)) % 1.02/1.29 (define @t184 () (@var "V_b_H" $$unsorted)) % 1.02/1.29 (define @t185 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t184 @t1)) % 1.02/1.29 (define @t186 () (tptp.c_HOL_Ominus__class_Ominus @t27 @t184 @t1)) % 1.02/1.29 (define @t187 () (@list @t1 @t3 @t27 @t184)) % 1.02/1.29 (define @t188 () (@var "V_a_H" $$unsorted)) % 1.02/1.29 (define @t189 () (tptp.c_HOL_Otimes__class_Otimes @t188 @t27 @t1)) % 1.02/1.29 (define @t190 () (@list @t1 @t3 @t188 @t27)) % 1.02/1.29 (define @t191 () (@var "V_ya" $$unsorted)) % 1.02/1.29 (define @t192 () (tptp.c_HOL_Otimes__class_Otimes @t64 @t191 @t1)) % 1.02/1.29 (define @t193 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t191 @t1)) % 1.02/1.29 (define @t194 () (@list @t1 @t6 @t64 @t191)) % 1.02/1.29 (define @t195 () (tptp.c_lessequals @t3 @t2 @t1)) % 1.02/1.29 (define @t196 () (not @t195)) % 1.02/1.29 (define @t197 () (tptp.c_lessequals @t95 @t2 @t1)) % 1.02/1.29 (define @t198 () (= @t27 @t2)) % 1.02/1.29 (define @t199 () (= @t3 @t2)) % 1.02/1.29 (define @t200 () (not (= @t107 @t2))) % 1.02/1.29 (define @t201 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 1.02/1.29 (define @t202 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 1.02/1.29 (define @t203 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 @t1)) % 1.02/1.29 (define @t204 () (tptp.c_HOL_Oord__class_Oless @t203 @t2 @t1)) % 1.02/1.29 (define @t205 () (not @t204)) % 1.02/1.29 (define @t206 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 1.02/1.29 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t2 @t107 @t1)) % 1.02/1.29 (define @t208 () (@list @t1 @t27 @t3)) % 1.02/1.29 (define @t209 () (tptp.c_lessequals @t2 @t27 @t1)) % 1.02/1.29 (define @t210 () (not @t209)) % 1.02/1.29 (define @t211 () (@list @t1 @t3 @t27 @t132)) % 1.02/1.29 (define @t212 () (tptp.c_HOL_Oord__class_Oless @t15 @t27 @t1)) % 1.02/1.29 (define @t213 () (not @t212)) % 1.02/1.29 (define @t214 () (tptp.c_HOL_Oord__class_Oless @t14 @t27 @t1)) % 1.02/1.29 (define @t215 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t6 @t1)) % 1.02/1.29 (define @t216 () (tptp.c_HOL_Oplus__class_Oplus @t215 (tptp.c_HOL_Otimes__class_Otimes @t64 @t64 @t1) @t1)) % 1.02/1.29 (define @t217 () (tptp.c_HOL_Oord__class_Oless @t29 @t14 @t1)) % 1.02/1.29 (define @t218 () (= (tptp.c_RealVector_Oof__real @t21 @t1) @t2)) % 1.02/1.29 (define @t219 () (@var "V_ry" $$unsorted)) % 1.02/1.29 (define @t220 () (@var "V_ly" $$unsorted)) % 1.02/1.29 (define @t221 () (@var "V_rx" $$unsorted)) % 1.02/1.29 (define @t222 () (@var "V_lx" $$unsorted)) % 1.02/1.29 (define @t223 () (tptp.c_HOL_Otimes__class_Otimes @t222 @t221 @t1)) % 1.02/1.29 (define @t224 () (tptp.c_HOL_Otimes__class_Otimes @t221 @t219 @t1)) % 1.02/1.29 (define @t225 () (tptp.c_HOL_Otimes__class_Otimes @t222 @t220 @t1)) % 1.02/1.29 (define @t226 () (tptp.c_HOL_Otimes__class_Otimes @t225 @t224 @t1)) % 1.02/1.29 (define @t227 () (@list @t1 @t222 @t220 @t221 @t219)) % 1.02/1.29 (define @t228 () (not @t142)) % 1.02/1.29 (define @t229 () (tptp.c_HOL_Oord__class_Oless @t164 @t165 @t1)) % 1.02/1.29 (define @t230 () (not (tptp.c_HOL_Oord__class_Oless @t21 @t6 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (define @t231 () (not (= @t99 @t21))) % 1.02/1.29 (define @t232 () (tptp.c_HOL_Ouminus__class_Ouminus @t64 @t1)) % 1.02/1.29 (define @t233 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 1.02/1.29 (define @t234 () (not (tptp.c_HOL_Oord__class_Oless @t165 @t3 @t1))) % 1.02/1.29 (define @t235 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t134 @t1)) % 1.02/1.29 (define @t236 () (@list @t1 @t3 @t132)) % 1.02/1.29 (define @t237 () (@list @t1 @t64 @t6)) % 1.02/1.29 (define @t238 () (tptp.c_RealVector_OscaleR__class_OscaleR @t188 @t27 @t1)) % 1.02/1.29 (define @t239 () (tptp.c_RealVector_OscaleR__class_OscaleR @t64 @t59 @t1)) % 1.02/1.29 (define @t240 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t241 () (@list @t1 @t6 @t64 @t59)) % 1.02/1.29 (define @t242 () (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t184 @t1)) % 1.02/1.29 (define @t243 () (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t64 @t1)) % 1.02/1.29 (define @t244 () (@list @t1 @t3 @t6 @t64)) % 1.02/1.29 (define @t245 () (tptp.c_RealVector_OscaleR__class_OscaleR @t27 @t6 @t1)) % 1.02/1.29 (define @t246 () (@list @t1 @t3 @t27 @t6)) % 1.02/1.29 (define @t247 () (tptp.c_RealVector_Odist__class_Odist @t6 @t64 @t1)) % 1.02/1.29 (define @t248 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t27 @t1)) % 1.02/1.29 (define @t249 () (tptp.c_HOL_Ouminus__class_Ouminus @t107 @t1)) % 1.02/1.29 (define @t250 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t29 @t1)) % 1.02/1.29 (define @t251 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 1.02/1.29 (define @t252 () (tptp.c_HOL_Oord__class_Oless @t165 @t164 @t1)) % 1.02/1.29 (define @t253 () (not @t252)) % 1.02/1.29 (define @t254 () (not (= @t134 @t2))) % 1.02/1.29 (define @t255 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 1.02/1.29 (define @t256 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 1.02/1.29 (define @t257 () (tptp.c_lessequals @t14 @t2 @t1)) % 1.02/1.29 (define @t258 () (not @t214)) % 1.02/1.29 (define @t259 () (tptp.c_lessequals @t107 @t2 @t1)) % 1.02/1.29 (define @t260 () (not @t259)) % 1.02/1.29 (define @t261 () (tptp.c_lessequals @t27 @t2 @t1)) % 1.02/1.29 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t107 @t2 @t1)) % 1.02/1.29 (define @t263 () (tptp.c_lessequals @t21 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t264 () (tptp.c_lessequals @t21 @t159 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t265 () (not (tptp.c_lessequals @t21 @t6 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (define @t266 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t34 @t1))) % 1.02/1.29 (define @t267 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t34 @t1)) % 1.02/1.29 (define @t268 () (tptp.c_HOL_Oord__class_Oless @t27 @t267 @t1)) % 1.02/1.29 (define @t269 () (@list @t6 @t64)) % 1.02/1.29 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t95 @t2 @t1)) % 1.02/1.29 (define @t271 () (not @t270)) % 1.02/1.29 (define @t272 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 1.02/1.29 (define @t273 () (@list @t1 @t3 @t34 @t27)) % 1.02/1.29 (define @t274 () (not (tptp.c_lessequals @t34 @t2 @t1))) % 1.02/1.29 (define @t275 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 1.02/1.29 (define @t276 () (= @t34 @t70)) % 1.02/1.29 (define @t277 () (not (= @t216 @t2))) % 1.02/1.29 (define @t278 () (= @t64 @t2)) % 1.02/1.29 (define @t279 () (= @t6 @t21)) % 1.02/1.29 (define @t280 () (tptp.c_HOL_Oinverse__class_Oinverse @t27 @t1)) % 1.02/1.29 (define @t281 () (not (= @t95 @t280))) % 1.02/1.29 (define @t282 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t2 @t1) @t2)) % 1.02/1.29 (define @t283 () (tptp.c_HOL_Oord__class_Oless @t137 @t136 @t1)) % 1.02/1.29 (define @t284 () (not (= @t180 @t138))) % 1.02/1.29 (define @t285 () (@list @t1 @t6 @t64 @t137 @t136)) % 1.02/1.29 (define @t286 () (@var "V_q" $$unsorted)) % 1.02/1.29 (define @t287 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1))) % 1.02/1.29 (define @t288 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t134 @t1) (tptp.c_Power_Opower__class_Opower @t95 @t132 @t1))) % 1.02/1.29 (define @t289 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t14 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t95 @t1))) % 1.02/1.29 (define @t290 () (tptp.c_lessequals @t2 @t107 @t1)) % 1.02/1.29 (define @t291 () (not @t261)) % 1.02/1.29 (define @t292 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 1.02/1.29 (define @t293 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t294 () (tptp.c_HOL_Oord__class_Oless @t21 @t293 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t295 () (tptp.c_HOL_Oord__class_Oless @t61 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t296 () (tptp.c_lessequals @t99 @t21 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t297 () (tptp.c_lessequals @t6 @t21 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t298 () (tptp.c_HOL_Oord__class_Oless @t165 @t6 @t1)) % 1.02/1.29 (define @t299 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs @t156 @t1) @t22 @t1)) % 1.02/1.29 (define @t300 () (not @t299)) % 1.02/1.29 (define @t301 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t3 @t22 @t1) @t6 @t1)) % 1.02/1.29 (define @t302 () (= @t15 @t3)) % 1.02/1.29 (define @t303 () (tptp.c_HOL_Oord__class_Oless @t2 @t95 @t1)) % 1.02/1.29 (define @t304 () (not @t303)) % 1.02/1.29 (define @t305 () (tptp.c_HOL_Oord__class_Oless @t2 @t216 @t1)) % 1.02/1.29 (define @t306 () (tptp.c_HOL_Oord__class_Oless @t99 @t159 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t307 () (tptp.c_HOL_Oord__class_Oless @t6 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t308 () (not @t307)) % 1.02/1.29 (define @t309 () (tptp.c_HOL_Oord__class_Oless @t27 @t3 @t1)) % 1.02/1.29 (define @t310 () (not @t309)) % 1.02/1.29 (define @t311 () (@var "V_m" $$unsorted)) % 1.02/1.29 (define @t312 () (tptp.c_HOL_Ouminus__class_Ouminus @t29 @t1)) % 1.02/1.29 (define @t313 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t1)) % 1.02/1.29 (define @t314 () (tptp.c_HOL_Ouminus__class_Ouminus @t123 @t1)) % 1.02/1.29 (define @t315 () (tptp.c_HOL_Oord__class_Oless @t29 @t3 @t1)) % 1.02/1.29 (define @t316 () (tptp.c_HOL_Oord__class_Oless @t27 @t14 @t1)) % 1.02/1.29 (define @t317 () (tptp.c_HOL_Oord__class_Oless @t3 @t29 @t1)) % 1.02/1.29 (define @t318 () (not (tptp.c_lessequals @t110 @t64 @t1))) % 1.02/1.29 (define @t319 () (tptp.c_lessequals @t64 @t6 @t1)) % 1.02/1.29 (define @t320 () (not @t319)) % 1.02/1.29 (define @t321 () (not (tptp.c_lessequals @t64 @t110 @t1))) % 1.02/1.29 (define @t322 () (tptp.c_lessequals @t6 @t64 @t1)) % 1.02/1.29 (define @t323 () (not @t322)) % 1.02/1.29 (define @t324 () (tptp.c_lessequals @t136 @t137 @t1)) % 1.02/1.29 (define @t325 () (tptp.c_lessequals @t29 @t14 @t1)) % 1.02/1.29 (define @t326 () (tptp.c_HOL_Oord__class_Oless @t6 @t6 @t1)) % 1.02/1.29 (define @t327 () (not @t326)) % 1.02/1.29 (define @t328 () (tptp.c_lessequals @t6 @t6 @t1)) % 1.02/1.29 (define @t329 () (tptp.c_lessequals @t29 @t3 @t1)) % 1.02/1.29 (define @t330 () (tptp.c_lessequals @t14 @t27 @t1)) % 1.02/1.29 (define @t331 () (not @t330)) % 1.02/1.29 (define @t332 () (tptp.c_lessequals @t27 @t14 @t1)) % 1.02/1.29 (define @t333 () (tptp.c_lessequals @t3 @t29 @t1)) % 1.02/1.29 (define @t334 () (not @t333)) % 1.02/1.29 (define @t335 () (not (tptp.c_lessequals @t27 @t34 @t1))) % 1.02/1.29 (define @t336 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 1.02/1.29 (define @t337 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 1.02/1.29 (define @t338 () (tptp.c_HOL_Oord__class_Oless @t2 @t176 @t1)) % 1.02/1.29 (define @t339 () (tptp.c_lessequals @t176 @t2 @t1)) % 1.02/1.29 (define @t340 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 @t1)) % 1.02/1.29 (define @t341 () (tptp.c_HOL_Oplus__class_Oplus @t340 @t340 @t1)) % 1.02/1.29 (define @t342 () (tptp.c_lessequals @t34 @t75 @t1)) % 1.02/1.29 (define @t343 () (tptp.c_HOL_Oplus__class_Oplus @t76 @t34 @t1)) % 1.02/1.29 (define @t344 () (tptp.c_lessequals @t343 @t73 @t1)) % 1.02/1.29 (define @t345 () (@list @t1 @t3 @t71 @t34 @t27 @t70)) % 1.02/1.29 (define @t346 () (not @t344)) % 1.02/1.29 (define @t347 () (@list @t1 @t34 @t27 @t3 @t71 @t70)) % 1.02/1.29 (define @t348 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t123 @t71 @t1) @t34 @t1)) % 1.02/1.29 (define @t349 () (tptp.c_lessequals @t348 @t70 @t1)) % 1.02/1.29 (define @t350 () (@list @t1 @t3 @t27 @t71 @t34 @t70)) % 1.02/1.29 (define @t351 () (not (tptp.c_lessequals @t216 @t2 @t1))) % 1.02/1.29 (define @t352 () (not (tptp.c_lessequals @t2 @t6 @t1))) % 1.02/1.29 (define @t353 () (not (tptp.c_lessequals @t2 @t64 @t1))) % 1.02/1.29 (define @t354 () (not (tptp.c_lessequals @t64 @t165 @t1))) % 1.02/1.29 (define @t355 () (tptp.c_lessequals @t164 @t165 @t1)) % 1.02/1.29 (define @t356 () (tptp.c_lessequals @t165 @t6 @t1)) % 1.02/1.29 (define @t357 () (tptp.c_HOL_Ouminus__class_Ouminus @t176 @t1)) % 1.02/1.29 (define @t358 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t34 @t1)) % 1.02/1.29 (define @t359 () (tptp.c_HOL_Oord__class_Oless @t267 @t358 @t1)) % 1.02/1.29 (define @t360 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 1.02/1.29 (define @t361 () (tptp.c_HOL_Oplus__class_Oplus @t34 @t27 @t1)) % 1.02/1.29 (define @t362 () (tptp.c_HOL_Oplus__class_Oplus @t34 @t3 @t1)) % 1.02/1.29 (define @t363 () (tptp.c_HOL_Oord__class_Oless @t362 @t361 @t1)) % 1.02/1.29 (define @t364 () (tptp.c_HOL_Ouminus__class_Ouminus @t165 @t1)) % 1.02/1.29 (define @t365 () (@list @t1 @t22)) % 1.02/1.29 (define @t366 () (tptp.c_HOL_Otimes__class_Otimes @t225 @t221 @t1)) % 1.02/1.29 (define @t367 () (@list @t1 @t222 @t220 @t221)) % 1.02/1.29 (define @t368 () (tptp.c_HOL_Otimes__class_Otimes @t222 @t224 @t1)) % 1.02/1.29 (define @t369 () (@list @t1 @t222 @t221 @t219)) % 1.02/1.29 (define @t370 () (@list @t1 @t6 @t64 @t110)) % 1.02/1.29 (define @t371 () (tptp.c_HOL_Oord__class_Oless @t2 @t203 @t1)) % 1.02/1.29 (define @t372 () (not @t168)) % 1.02/1.29 (define @t373 () (tptp.c_lessequals @t6 @t165 @t1)) % 1.02/1.29 (define @t374 () (not @t290)) % 1.02/1.29 (define @t375 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t1))) % 1.02/1.29 (define @t376 () (= (tptp.c_HOL_Otimes__class_Otimes @t95 @t3 @t1) @t165)) % 1.02/1.29 (define @t377 () (not (tptp.class_Ring__and__Field_Ofield @t1))) % 1.02/1.29 (define @t378 () (not (tptp.c_lessequals @t34 @t70 @t1))) % 1.02/1.29 (define @t379 () (tptp.c_lessequals @t36 @t84 @t1)) % 1.02/1.29 (define @t380 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 1.02/1.29 (define @t381 () (= (tptp.c_RealVector_Oof__real @t61 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t67 @t1))) % 1.02/1.29 (define @t382 () (tptp.c_HOL_Oord__class_Oless @t6 @t165 @t1)) % 1.02/1.29 (define @t383 () (tptp.c_HOL_Oplus__class_Oplus @t95 @t280 @t1)) % 1.02/1.29 (define @t384 () (tptp.c_HOL_Ominus__class_Ominus @t95 @t280 @t1)) % 1.02/1.29 (define @t385 () (@var "V_s" $$unsorted)) % 1.02/1.29 (define @t386 () (= @t180 (tptp.c_HOL_Oplus__class_Oplus @t6 @t232 @t1))) % 1.02/1.29 (define @t387 () (= @t123 (tptp.c_HOL_Oplus__class_Oplus @t3 @t29 @t1))) % 1.02/1.29 (define @t388 () (tptp.c_Transcendental_Osin @t6)) % 1.02/1.29 (define @t389 () (@var "V_S" $$unsorted)) % 1.02/1.29 (define @t390 () (@var "V_W" $$unsorted)) % 1.02/1.29 (define @t391 () (tptp.c_HOL_Oord__class_Oless @t390 @t389 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t392 () (tptp.c_HOL_Oord__class_Oless @t21 (tptp.c_HOL_Oplus__class_Oplus @t389 (tptp.c_HOL_Ouminus__class_Ouminus @t390 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t393 () (tptp.c_HOL_Oinverse__class_Oinverse @t107 @t1)) % 1.02/1.29 (define @t394 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t3 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t395 () (tptp.c_HOL_Oord__class_Oless @t21 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t396 () (tptp.c_HOL_Oord__class_Oless @t21 @t159 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t397 () (tptp.c_lessequals @t2 @t14 @t1)) % 1.02/1.29 (define @t398 () (= @t3 @t21)) % 1.02/1.29 (define @t399 () (tptp.c_RealVector_OscaleR__class_OscaleR @t22 @t107 @t1)) % 1.02/1.29 (define @t400 () (tptp.c_RealVector_OscaleR__class_OscaleR @t22 @t27 @t1)) % 1.02/1.29 (define @t401 () (@list @t1 @t3 @t22 @t27)) % 1.02/1.29 (define @t402 () (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t104 @t1)) % 1.02/1.29 (define @t403 () (not (tptp.class_RealVector_Oreal__algebra @t1))) % 1.02/1.29 (define @t404 () (= (tptp.c_HOL_Oabs__class_Oabs @t95 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t15 @t1))) % 1.02/1.29 (define @t405 () (not (tptp.c_HOL_Oord__class_Oless @t95 @t280 @t1))) % 1.02/1.29 (define @t406 () (tptp.c_HOL_Oord__class_Oless @t280 @t95 @t1)) % 1.02/1.29 (define @t407 () (tptp.c_lessequals @t2 @t95 @t1)) % 1.02/1.29 (define @t408 () (= @t388 @t21)) % 1.02/1.29 (define @t409 () (tptp.c_Transcendental_Ocos @t6)) % 1.02/1.29 (define @t410 () (tptp.c_RealVector_Onorm__class_Onorm @t6 tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (define @t411 () (tptp.c_lessequals @t2 @t134 @t1)) % 1.02/1.29 (define @t412 () (tptp.c_lessequals @t3 @t14 @t1)) % 1.02/1.29 (define @t413 () (not @t412)) % 1.02/1.29 (define @t414 () (tptp.c_lessequals @t14 @t3 @t1)) % 1.02/1.29 (define @t415 () (not @t414)) % 1.02/1.29 (define @t416 () (tptp.c_HOL_Oplus__class_Oplus @t64 @t110 @t1)) % 1.02/1.29 (define @t417 () (tptp.c_HOL_Ouminus__class_Ouminus @t110 @t1)) % 1.02/1.29 (define @t418 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t70 @t1)) % 1.02/1.29 (define @t419 () (tptp.c_HOL_Oord__class_Oless @t267 @t418 @t1)) % 1.02/1.29 (define @t420 () (@var "V_w" $$unsorted)) % 1.02/1.29 (define @t421 () (= @t64 @t110)) % 1.02/1.29 (define @t422 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t110 @t1)) % 1.02/1.29 (define @t423 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t311 @t1)) % 1.02/1.29 (define @t424 () (= (tptp.c_HOL_Otimes__class_Otimes @t176 @t34 @t1) (tptp.c_HOL_Oplus__class_Oplus @t36 @t35 @t1))) % 1.02/1.29 (define @t425 () (tptp.c_HOL_Oplus__class_Oplus @t104 @t422 @t1)) % 1.02/1.29 (define @t426 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t64 @t1)) % 1.02/1.29 (define @t427 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t184 @t1)) % 1.02/1.29 (define @t428 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t34 @t1)) % 1.02/1.29 (define @t429 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t70 @t1)) % 1.02/1.29 (define @t430 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t2 @t1) @t2)) % 1.02/1.29 (define @t431 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t416 @t1)) % 1.02/1.29 (define @t432 () (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1) @t3)) % 1.02/1.29 (define @t433 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 1.02/1.29 (define @t434 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1) @t3)) % 1.02/1.29 (define @t435 () (tptp.c_HOL_Oplus__class_Oplus @t165 @t165 @t1)) % 1.02/1.29 (define @t436 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t165 @t1) @t165)) % 1.02/1.29 (define @t437 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 1.02/1.29 (define @t438 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t165 @t1) @t3)) % 1.02/1.29 (define @t439 () (= (tptp.c_HOL_Otimes__class_Otimes @t165 @t3 @t1) @t3)) % 1.02/1.29 (define @t440 () (tptp.c_Power_Opower__class_Opower @t15 @t132 @t1)) % 1.02/1.29 (define @t441 () (tptp.c_HOL_Oabs__class_Oabs @t107 @t1)) % 1.02/1.29 (define @t442 () (= @t441 @t92)) % 1.02/1.29 (define @t443 () (not (tptp.class_Ring__and__Field_Opordered__ring__abs @t1))) % 1.02/1.29 (define @t444 () (tptp.c_HOL_Oord__class_Oless @t6 (tptp.c_HOL_Oplus__class_Oplus @t3 @t22 @t1) @t1)) % 1.02/1.29 (define @t445 () (@list @t1 @t6 @t3 @t22)) % 1.02/1.29 (define @t446 () (tptp.c_lessequals @t6 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t447 () (tptp.c_lessequals @t99 @t159 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t448 () (not @t446)) % 1.02/1.29 (define @t449 () (tptp.c_RealVector_Onorm__class_Onorm @t64 @t1)) % 1.02/1.29 (define @t450 () (tptp.c_RealVector_Onorm__class_Onorm @t426 @t1)) % 1.02/1.29 (define @t451 () (@list @t420 @t110)) % 1.02/1.29 (define @t452 () (tptp.c_lessequals @t293 @t21 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t453 () (tptp.c_lessequals @t64 @t61 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t454 () (@list @t64 @t6)) % 1.02/1.29 (define @t455 () (tptp.c_lessequals @t21 @t293 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t456 () (tptp.c_lessequals @t61 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t457 () (tptp.c_HOL_Oabs__class_Oabs @t123 @t1)) % 1.02/1.29 (define @t458 () (tptp.c_HOL_Oabs__class_Oabs @t2 @t1)) % 1.02/1.29 (define @t459 () (tptp.c_HOL_Oabs__class_Oabs @t134 @t1)) % 1.02/1.29 (define @t460 () (tptp.c_HOL_Ominus__class_Ominus @t27 @t70 @t1)) % 1.02/1.29 (define @t461 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t34 @t1)) % 1.02/1.29 (define @t462 () (tptp.c_HOL_Oplus__class_Oplus @t34 @t70 @t1)) % 1.02/1.29 (define @t463 () (tptp.c_HOL_Ominus__class_Ominus @t176 @t462 @t1)) % 1.02/1.29 (define @t464 () (tptp.c_HOL_Oabs__class_Oabs @t6 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t465 () (tptp.c_lessequals @t203 @t2 @t1)) % 1.02/1.29 (define @t466 () (tptp.c_lessequals @t2 @t203 @t1)) % 1.02/1.29 (define @t467 () (not (= @t426 @t2))) % 1.02/1.29 (define @t468 () (tptp.c_lessequals @t27 @t267 @t1)) % 1.02/1.29 (define @t469 () (forall @t154 (or @t337 @t336 @t468 @t153 @t39))) % 1.02/1.29 (define @t470 () (not (tptp.c_lessequals @t2 @t2 @t1))) % 1.02/1.29 (define @t471 () (not (tptp.class_RealVector_Oreal__normed__algebra__1 @t1))) % 1.02/1.29 (define @t472 () (tptp.c_HOL_Oabs__class_Oabs @t409 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t473 () (tptp.c_HOL_Oord__class_Oless @t293 @t21 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t474 () (tptp.c_HOL_Oord__class_Oless @t64 @t61 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t475 () (not (= @t343 @t73))) % 1.02/1.29 (define @t476 () (@var "V_ra" $$unsorted)) % 1.02/1.29 (define @t477 () (tptp.c_Power_Opower__class_Opower @t14 @t132 @t1)) % 1.02/1.29 (define @t478 () (not (tptp.c_lessequals @t95 @t280 @t1))) % 1.02/1.29 (define @t479 () (tptp.c_lessequals @t280 @t95 @t1)) % 1.02/1.29 (define @t480 () (= (tptp.c_RealVector_Oof__real @t240 @t1) (tptp.c_HOL_Ominus__class_Ominus @t67 @t66 @t1))) % 1.02/1.29 (define @t481 () (tptp.c_HOL_Oord__class_Oless @t343 @t73 @t1)) % 1.02/1.29 (define @t482 () (not @t481)) % 1.02/1.29 (define @t483 () (tptp.c_HOL_Oord__class_Oless @t348 @t70 @t1)) % 1.02/1.29 (define @t484 () (tptp.c_HOL_Oord__class_Oless @t34 @t75 @t1)) % 1.02/1.29 (define @t485 () (not (= @t176 @t2))) % 1.02/1.29 (define @t486 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1) @t2)) % 1.02/1.29 (define @t487 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1) @t2)) % 1.02/1.29 (define @t488 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t27 @t1) @t2)) % 1.02/1.29 (define @t489 () (tptp.c_HOL_Oord__class_Oless @t6 @t160 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t490 () (tptp.c_HOL_Oord__class_Oless @t99 @t160 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t491 () (tptp.c_lessequals @t240 @t21 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t492 () (tptp.c_lessequals @t123 @t2 @t1)) % 1.02/1.29 (define @t493 () (tptp.c_HOL_Oord__class_Oless @t123 @t2 @t1)) % 1.02/1.29 (define @t494 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 1.02/1.29 (define @t495 () (not (= @t95 @t2))) % 1.02/1.29 (define @t496 () (= @t494 @t2)) % 1.02/1.29 (define @t497 () (tptp.c_HOL_Oord__class_Oless @t2 @t14 @t1)) % 1.02/1.29 (define @t498 () (tptp.c_HOL_Oord__class_Oless @t3 @t14 @t1)) % 1.02/1.29 (define @t499 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t165 @t1)) % 1.02/1.29 (define @t500 () (tptp.c_HOL_Otimes__class_Otimes @t499 @t311 @t1)) % 1.02/1.29 (define @t501 () (tptp.c_lessequals @t15 @t27 @t1)) % 1.02/1.29 (define @t502 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t91 @t1)) % 1.02/1.29 (define @t503 () (not @t501)) % 1.02/1.29 (define @t504 () (= (tptp.c_RealVector_Oof__real @t293 @t1) (tptp.c_HOL_Oplus__class_Oplus @t67 @t66 @t1))) % 1.02/1.29 (define @t505 () (tptp.c_lessequals @t160 @t159 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t506 () (tptp.c_lessequals @t160 @t64 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t507 () (tptp.c_lessequals @t99 @t160 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t508 () (tptp.c_lessequals @t6 @t160 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t509 () (tptp.c_RealVector_Odist__class_Odist @t64 @t110 @t1)) % 1.02/1.29 (define @t510 () (tptp.c_RealVector_Odist__class_Odist @t6 @t110 @t1)) % 1.02/1.29 (define @t511 () (tptp.c_Complex_ORe @t6)) % 1.02/1.29 (define @t512 () (tptp.c_lessequals @t24 @t6 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t513 () (tptp.c_lessequals @t6 @t22 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t514 () (tptp.c_lessequals @t464 @t22 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t515 () (@list @t6 @t22)) % 1.02/1.29 (define @t516 () (not @t514)) % 1.02/1.29 (define @t517 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t91 @t1)) % 1.02/1.29 (define @t518 () (tptp.c_HOL_Ouminus__class_Ouminus @t311 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t519 () (@var "V_l" $$unsorted)) % 1.02/1.29 (define @t520 () (tptp.c_HOL_Ouminus__class_Ouminus @t519 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t521 () (tptp.c_lessequals @t110 @t420 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t522 () (tptp.c_lessequals @t420 @t110 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t523 () (@var "V_j" $$unsorted)) % 1.02/1.29 (define @t524 () (@var "V_i" $$unsorted)) % 1.02/1.29 (define @t525 () (@var "V_k" $$unsorted)) % 1.02/1.29 (define @t526 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t3 @t1)) % 1.02/1.29 (define @t527 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 1.02/1.29 (define @t528 () (@var "V_u" $$unsorted)) % 1.02/1.29 (define @t529 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t110 @t1)) % 1.02/1.29 (define @t530 () (= @t27 @t34)) % 1.02/1.29 (define @t531 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 1.02/1.29 (define @t532 () (not (= @t176 @t267))) % 1.02/1.29 (define @t533 () (tptp.c_lessequals @t267 @t358 @t1)) % 1.02/1.29 (define @t534 () (tptp.c_lessequals @t362 @t361 @t1)) % 1.02/1.29 (define @t535 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t358 @t1)) % 1.02/1.29 (define @t536 () (tptp.c_HOL_Oplus__class_Oplus @t176 @t34 @t1)) % 1.02/1.29 (define @t537 () (= @t536 @t535)) % 1.02/1.29 (define @t538 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t462 @t1)) % 1.02/1.29 (define @t539 () (@list @t1 @t3 @t34 @t70)) % 1.02/1.29 (define @t540 () (tptp.hAPP tptp.v_s tptp.v_n____)) % 1.02/1.29 (define @t541 () (tptp.c_RealVector_Onorm__class_Onorm @t540 tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (define @t542 () (tptp.c_lessequals @t541 tptp.v_r tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t543 () (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Complex_ORe @t540) tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t544 () (tptp.c_lessequals @t543 @t541 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t545 () (tptp.c_HOL_Oplus__class_Oplus tptp.v_r @t160 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t546 () (tptp.c_lessequals @t543 @t545 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t547 () (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t548 () (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t549 () (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t550 () (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t551 () (tptp.c_lessequals @t541 @t545 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t552 () (not @t551)) % 1.02/1.29 (define @t553 () (not @t544)) % 1.02/1.29 (define @t554 () (not @t550)) % 1.02/1.29 (define @t555 () (or @t554 @t546 @t553 @t552)) % 1.02/1.29 (define @t556 () (tptp.c_lessequals @t21 @t160 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (define @t557 () (not @t548)) % 1.02/1.29 (define @t558 () (or @t557 @t556)) % 1.02/1.29 (define @t559 () (not @t556)) % 1.02/1.29 (define @t560 () (not @t542)) % 1.02/1.29 (define @t561 () (not @t549)) % 1.02/1.29 (define @t562 () (not @t547)) % 1.02/1.29 (define @t563 () (or @t562 @t561 @t551 @t560 @t559)) % 1.02/1.29 (define @t564 () (not @t563)) % 1.02/1.29 (assume @p1 (forall @t5 (or @t4 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1) @t2)))) % 1.02/1.29 (assume @p2 (forall @t11 (or @t10 @t9 @t8))) % 1.02/1.29 (assume @p3 (forall @t5 (or @t17 @t16 @t13))) % 1.02/1.29 (assume @p4 (forall @t5 (or @t18 @t16 @t13))) % 1.02/1.29 (assume @p5 (forall @t5 (or @t20 @t19 @t16 @t13))) % 1.02/1.29 (assume @p6 (forall @t26 (or (= @t25 @t24) (not @t23)))) % 1.02/1.29 (assume @p7 (forall @t33 (or @t10 (not (= @t32 @t31)) @t30 @t28))) % 1.02/1.29 (assume @p8 (forall @t42 (or @t41 @t40 @t39 @t38))) % 1.02/1.29 (assume @p9 (forall @t42 (or @t41 @t40 @t39 @t46))) % 1.02/1.29 (assume @p10 (forall @t42 (or @t47 @t40 @t39 @t38))) % 1.02/1.29 (assume @p11 (forall @t42 (or @t47 @t40 @t39 @t46))) % 1.02/1.29 (assume @p12 (forall (@list @t6 @t3) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t6 @t48 tptp.tc_RealDef_Oreal) @t21)) (= @t6 @t3)))) % 1.02/1.29 (assume @p13 (forall @t11 (or @t50 (not (tptp.c_HOL_Oord__class_Oless @t21 @t49 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p14 (forall @t55 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t53 @t1) @t52)))) % 1.02/1.29 (assume @p15 (forall @t33 (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t29 @t1) @t57)))) % 1.02/1.29 (assume @p16 (forall @t55 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t48 @t6 @t1) @t52)))) % 1.02/1.29 (assume @p17 (forall (@list @t1 @t6 @t59) (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t61 @t59 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t60 @t1))))) % 1.02/1.29 (assume @p18 (forall @t33 (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t48 @t27 @t1) @t57)))) % 1.02/1.29 (assume @p19 (forall @t11 (or @t58 (not (= @t63 @t21)) @t62))) % 1.02/1.29 (assume @p20 (forall @t69 (or @t68 (not (= @t67 @t66)) @t65))) % 1.02/1.29 (assume @p21 (forall (@list @t1 @t3 @t71 @t27 @t70) (or @t77 (= (tptp.c_HOL_Oplus__class_Oplus @t76 @t75 @t1) @t73)))) % 1.02/1.29 (assume @p22 (forall @t79 (or @t58 (tptp.c_lessequals @t78 @t21 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p23 (forall @t86 (or @t41 @t85 @t39 @t83 @t81 @t80))) % 1.02/1.29 (assume @p24 (forall @t11 (or @t58 @t62 (not (tptp.c_lessequals @t63 @t21 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p25 (forall @t11 (or @t58 (not (tptp.c_HOL_Oord__class_Oless @t63 @t21 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p26 (forall @t5 (or @t90 @t89 @t88))) % 1.02/1.29 (assume @p27 (forall @t5 (or @t90 @t87 (not @t89)))) % 1.02/1.29 (assume @p28 (forall @t94 (or @t93 (tptp.c_HOL_Oord__class_Oless @t92 (tptp.c_HOL_Otimes__class_Otimes @t34 @t70 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t91 @t70 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t15 @t34 @t1))))) % 1.02/1.29 (assume @p29 (forall @t5 (or @t98 @t97 @t96))) % 1.02/1.29 (assume @p30 (forall @t102 (or @t101 (not @t100)))) % 1.02/1.29 (assume @p31 (forall @t102 (or @t100 (not @t101)))) % 1.02/1.29 (assume @p32 (forall @t69 (or @t105 (= @t104 @t103)))) % 1.02/1.29 (assume @p33 (forall @t33 (or @t105 (= @t107 @t106)))) % 1.02/1.29 (assume @p34 (forall @t114 (or @t113 @t112 @t111 @t109))) % 1.02/1.29 (assume @p35 (forall @t120 (or @t119 @t118 @t117 @t116))) % 1.02/1.29 (assume @p36 (forall (@list @t1 @t22 @t6) (or @t68 (= @t122 (tptp.c_HOL_Otimes__class_Otimes @t121 @t6 @t1))))) % 1.02/1.29 (assume @p37 (forall @t5 (or @t4 (not (= @t2 @t14)) (= @t2 @t3)))) % 1.02/1.29 (assume @p38 (forall @t33 (or @t58 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t127 tptp.tc_RealDef_Oreal) @t124 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p39 (forall (@list @t1 @t3 @t132 @t27) (or @t135 (tptp.c_lessequals @t134 @t133 @t1) @t131 @t129))) % 1.02/1.29 (assume @p40 (forall (@list @t1 @t6 @t137 @t136) (or @t139 (not (= @t7 @t138)) (= @t137 @t136)))) % 1.02/1.29 (assume @p41 (forall (@list @t1 @t59 @t64 @t6) (or @t139 (not (= (tptp.c_HOL_Ominus__class_Ominus @t59 @t64 @t1) @t7)) (= @t59 @t64)))) % 1.02/1.29 (assume @p42 (forall @t141 (or @t93 (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1) (not (tptp.c_HOL_Oord__class_Oless @t140 @t2 @t1))))) % 1.02/1.29 (assume @p43 (forall @t141 (or @t93 @t62 @t142 (not (tptp.c_lessequals @t140 @t2 @t1))))) % 1.02/1.29 (assume @p44 (forall @t42 (or @t41 @t128 @t145 (not @t143)))) % 1.02/1.29 (assume @p45 (forall @t42 (or @t41 @t128 @t145 @t147))) % 1.02/1.29 (assume @p46 (forall @t149 (or @t148 @t146 @t129 @t145))) % 1.02/1.29 (assume @p47 (forall @t42 (or @t148 @t128 @t147 @t145))) % 1.02/1.29 (assume @p48 (forall @t149 (or @t148 @t146 @t153 @t151))) % 1.02/1.29 (assume @p49 (forall @t154 (or @t148 @t152 @t147 @t151))) % 1.02/1.29 (assume @p50 (forall @t158 (or @t157 (= (tptp.c_HOL_Ominus__class_Ominus @t104 @t107 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t156 @t155 @t1) (tptp.c_HOL_Otimes__class_Otimes @t156 @t27 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t155 @t1) @t1))))) % 1.02/1.29 (assume @p51 (forall @t163 (or @t162 (not @t161)))) % 1.02/1.29 (assume @p52 (forall @t163 (or @t161 (not @t162)))) % 1.02/1.29 (assume @p53 (forall @t11 (or @t169 @t97 @t168 @t167))) % 1.02/1.29 (assume @p54 (forall @t5 (or @t58 @t171))) % 1.02/1.29 (assume @p55 (forall @t172 (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t21 @t27 @t1) @t2)))) % 1.02/1.29 (assume @p56 (forall @t5 (or @t54 @t171))) % 1.02/1.29 (assume @p57 (forall @t11 (or @t54 (= @t173 @t2)))) % 1.02/1.29 (assume @p58 (forall @t172 (or @t4 (= (tptp.c_HOL_Oplus__class_Oplus @t29 @t27 @t1) @t2)))) % 1.02/1.29 (assume @p59 (forall @t5 (or @t139 @t174))) % 1.02/1.29 (assume @p60 (forall @t5 (or @t4 (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t14 @t1) @t2)))) % 1.02/1.29 (assume @p61 (forall @t5 (or @t4 @t174))) % 1.02/1.29 (assume @p62 (forall @t102 (= (tptp.c_HOL_Oplus__class_Oplus @t6 @t61 tptp.tc_RealDef_Oreal) @t21))) % 1.02/1.29 (assume @p63 (forall @t33 (or @t178 @t177 @t175 @t13))) % 1.02/1.29 (assume @p64 (forall @t33 (or @t139 @t179 @t28))) % 1.02/1.29 (assume @p65 (forall @t33 (or @t4 @t179 @t28))) % 1.02/1.29 (assume @p66 (forall @t69 (or @t10 @t9 (not (= @t180 @t2)) @t65))) % 1.02/1.29 (assume @p67 (forall @t183 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t59 @t180 @t1) (tptp.c_HOL_Ominus__class_Ominus @t182 @t181 @t1))))) % 1.02/1.29 (assume @p68 (forall @t187 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t186 @t1) (tptp.c_HOL_Ominus__class_Ominus @t107 @t185 @t1))))) % 1.02/1.29 (assume @p69 (forall @t190 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t3 @t188 @t1) @t27 @t1) (tptp.c_HOL_Ominus__class_Ominus @t107 @t189 @t1))))) % 1.02/1.29 (assume @p70 (forall @t194 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t180 @t191 @t1) (tptp.c_HOL_Ominus__class_Ominus @t193 @t192 @t1))))) % 1.02/1.29 (assume @p71 (forall @t5 (or @t169 @t97 @t197 @t196))) % 1.02/1.29 (assume @p72 (forall @t5 (or @t169 @t97 @t195 (not @t197)))) % 1.02/1.29 (assume @p73 (forall @t5 (or @t4 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t2 @t1) @t3)))) % 1.02/1.29 (assume @p74 (forall @t11 (or @t4 @t8))) % 1.02/1.29 (assume @p75 (forall @t11 (or @t139 @t8))) % 1.02/1.29 (assume @p76 (forall @t33 (or @t201 @t200 @t199 @t198))) % 1.02/1.29 (assume @p77 (forall @t33 (or @t201 @t200 @t198 @t199))) % 1.02/1.29 (assume @p78 (forall @t33 (or @t202 @t200 @t198 @t199))) % 1.02/1.29 (assume @p79 (forall @t5 (or @t93 @t204 @t13))) % 1.02/1.29 (assume @p80 (forall @t5 (or @t93 @t12 @t205))) % 1.02/1.29 (assume @p81 (forall @t5 (or @t206 @t12 @t205))) % 1.02/1.29 (assume @p82 (forall @t5 (or @t206 @t204 @t13))) % 1.02/1.29 (assume @p83 (forall @t33 (or @t148 @t207 @t175 @t13))) % 1.02/1.29 (assume @p84 (forall @t33 (or @t41 @t207 @t83 @t88))) % 1.02/1.29 (assume @p85 (forall @t208 (or @t41 @t82 @t88 (not @t207)))) % 1.02/1.29 (assume @p86 (forall @t208 (or @t41 @t82 @t88 (not (tptp.c_HOL_Oord__class_Oless @t2 @t106 @t1))))) % 1.02/1.29 (assume @p87 (forall @t211 (or @t135 @t40 @t210 (not (tptp.c_HOL_Oord__class_Oless @t134 @t133 @t1))))) % 1.02/1.29 (assume @p88 (forall @t33 (or @t93 @t214 @t213))) % 1.02/1.29 (assume @p89 (forall @t69 (or @t148 (not (tptp.c_HOL_Oord__class_Oless @t216 @t2 @t1))))) % 1.02/1.29 (assume @p90 (forall @t11 (or @t50 (= @t49 @t21)))) % 1.02/1.29 (assume @p91 (forall @t33 (or @t90 @t40 (not @t217)))) % 1.02/1.29 (assume @p92 (forall @t208 (or @t90 @t217 @t80))) % 1.02/1.29 (assume @p93 (forall @t79 (or @t58 @t68 @t218))) % 1.02/1.29 (assume @p94 (forall @t79 (or @t68 @t218))) % 1.02/1.29 (assume @p95 (forall @t11 (or @t50 (tptp.c_lessequals @t49 @t21 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p96 (forall @t5 (or @t4 (not (= @t14 @t2)) @t199))) % 1.02/1.29 (assume @p97 (forall @t227 (or @t105 (= @t226 (tptp.c_HOL_Otimes__class_Otimes @t223 (tptp.c_HOL_Otimes__class_Otimes @t220 @t219 @t1) @t1))))) % 1.02/1.29 (assume @p98 (forall @t227 (or @t105 (= @t226 (tptp.c_HOL_Otimes__class_Otimes @t222 (tptp.c_HOL_Otimes__class_Otimes @t220 @t224 @t1) @t1))))) % 1.02/1.29 (assume @p99 (forall @t227 (or @t105 (= @t226 (tptp.c_HOL_Otimes__class_Otimes @t221 (tptp.c_HOL_Otimes__class_Otimes @t225 @t219 @t1) @t1))))) % 1.02/1.29 (assume @p100 (forall @t79 (or @t58 (not (tptp.c_HOL_Oord__class_Oless @t21 @t78 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p101 (forall @t11 (or @t169 @t97 @t229 @t228))) % 1.02/1.29 (assume @p102 (forall @t102 (or @t231 @t230))) % 1.02/1.29 (assume @p103 (forall @t33 (or @t4 (not (= @t14 @t29)) @t28))) % 1.02/1.29 (assume @p104 (forall @t69 (or @t233 (not (= @t53 @t232)) @t65))) % 1.02/1.29 (assume @p105 (forall @t236 (or @t135 (tptp.c_HOL_Oord__class_Oless @t165 @t235 @t1) @t234))) % 1.02/1.29 (assume @p106 (forall @t237 (or @t20 @t108 @t115 @t65))) % 1.02/1.29 (assume @p107 (forall @t237 (or @t20 @t108 @t65 @t115))) % 1.02/1.29 (assume @p108 (forall @t69 (or @t20 @t65 @t115 @t108))) % 1.02/1.29 (assume @p109 (forall @t69 (or @t20 @t65 @t108 @t115))) % 1.02/1.29 (assume @p110 (forall @t237 (or @t93 @t108 @t115 @t65))) % 1.02/1.29 (assume @p111 (forall @t190 (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus @t3 @t188 tptp.tc_RealDef_Oreal) @t27 @t1) (tptp.c_HOL_Ominus__class_Ominus @t56 @t238 @t1))))) % 1.02/1.29 (assume @p112 (forall @t241 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t240 @t59 @t1) (tptp.c_HOL_Ominus__class_Ominus @t60 @t239 @t1))))) % 1.02/1.29 (assume @p113 (forall @t187 (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t186 @t1) (tptp.c_HOL_Ominus__class_Ominus @t56 @t242 @t1))))) % 1.02/1.29 (assume @p114 (forall @t244 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t180 @t1) (tptp.c_HOL_Ominus__class_Ominus @t51 @t243 @t1))))) % 1.02/1.29 (assume @p115 (forall @t246 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus @t3 @t27 tptp.tc_RealDef_Oreal) @t6 @t1) (tptp.c_HOL_Ominus__class_Ominus @t51 @t245 @t1))))) % 1.02/1.29 (assume @p116 (forall @t69 (or @t50 (not (tptp.c_HOL_Oord__class_Oless @t247 @t21 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p117 (forall @t33 (or @t77 (= @t249 @t248)))) % 1.02/1.29 (assume @p118 (forall @t33 (or @t77 (= @t249 @t250)))) % 1.02/1.29 (assume @p119 (forall @t69 (or @t251 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t104 @t1) @t104)))) % 1.02/1.29 (assume @p120 (forall @t11 (or @t169 @t97 @t168 @t253))) % 1.02/1.29 (assume @p121 (forall @t236 (or @t256 @t201 @t255 (not (tptp.class_Power_Opower @t1)) @t254 @t199))) % 1.02/1.29 (assume @p122 (forall @t236 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t254 @t199))) % 1.02/1.29 (assume @p123 (forall @t5 (or @t90 @t130 (not @t257)))) % 1.02/1.29 (assume @p124 (forall @t5 (or @t90 @t257 @t131))) % 1.02/1.29 (assume @p125 (forall @t11 (or @t58 (tptp.c_HOL_Oord__class_Oless @t21 @t63 tptp.tc_RealDef_Oreal) @t62))) % 1.02/1.29 (assume @p126 (forall @t33 (or @t93 @t212 @t258 @t80))) % 1.02/1.29 (assume @p127 (forall @t69 (or @t50 (tptp.c_HOL_Oord__class_Oless @t21 @t247 tptp.tc_RealDef_Oreal) @t65))) % 1.02/1.29 (assume @p128 (forall @t33 (or @t148 @t195 @t130 @t260))) % 1.02/1.29 (assume @p129 (forall @t208 (or @t148 @t209 @t130 @t260))) % 1.02/1.29 (assume @p130 (forall @t33 (or @t148 @t195 @t261 @t260))) % 1.02/1.29 (assume @p131 (forall @t208 (or @t148 @t209 @t261 @t260))) % 1.02/1.29 (assume @p132 (forall @t33 (or @t41 @t262 @t83 @t13))) % 1.02/1.29 (assume @p133 (forall @t33 (or @t41 @t262 @t175 @t88))) % 1.02/1.29 (assume @p134 (forall @t208 (or @t41 (tptp.c_HOL_Oord__class_Oless @t106 @t2 @t1) @t175 @t88))) % 1.02/1.29 (assume @p135 (forall @t163 (or @t264 (not @t263)))) % 1.02/1.29 (assume @p136 (forall @t163 (or @t263 (not @t264)))) % 1.02/1.29 (assume @p137 (forall @t102 (or (tptp.c_lessequals @t21 @t99 tptp.tc_RealDef_Oreal) @t265))) % 1.02/1.29 (assume @p138 (forall @t154 (or @t135 @t268 @t266 @t88))) % 1.02/1.29 (assume @p139 (forall @t269 (or (not (= @t99 @t159)) @t65))) % 1.02/1.29 (assume @p140 (forall @t5 (or @t169 @t12 @t199 @t271))) % 1.02/1.29 (assume @p141 (forall @t236 (or @t135 (tptp.c_HOL_Oord__class_Oless @t134 @t235 @t1) @t234))) % 1.02/1.29 (assume @p142 (forall @t149 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t146 @t39 @t129))) % 1.02/1.29 (assume @p143 (forall @t149 (or @t272 @t146 @t39 @t129))) % 1.02/1.29 (assume @p144 (forall @t273 (or @t272 @t143 @t39 @t129))) % 1.02/1.29 (assume @p145 (forall @t149 (or @t275 @t146 @t274 @t153))) % 1.02/1.29 (assume @p146 (forall @t273 (or @t275 @t143 @t274 @t153))) % 1.02/1.29 (assume @p147 (forall (@list @t1 @t6 @t22 @t34 @t70) (or @t10 @t9 (not (= (tptp.c_HOL_Oplus__class_Oplus @t6 (tptp.c_HOL_Otimes__class_Otimes @t22 @t34 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t6 (tptp.c_HOL_Otimes__class_Otimes @t22 @t70 @t1) @t1))) @t276 (= @t22 @t2)))) % 1.02/1.29 (assume @p148 (forall @t69 (or @t148 @t277 @t62))) % 1.02/1.29 (assume @p149 (forall @t69 (or @t148 @t277 @t278))) % 1.02/1.29 (assume @p150 (forall @t33 (or @t98 (not (= @t107 @t165)) (= @t95 @t27)))) % 1.02/1.29 (assume @p151 (forall @t69 (or @t50 (tptp.c_lessequals @t21 @t247 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p152 (forall @t11 (or @t251 (= @t215 @t6)))) % 1.02/1.29 (assume @p153 (forall @t86 (or @t41 @t85 @t39 @t131 @t81 @t80))) % 1.02/1.29 (assume @p154 (forall @t11 (or @t68 (not (= @t67 @t2)) @t279))) % 1.02/1.29 (assume @p155 (forall @t33 (or @t98 @t97 @t281 @t28))) % 1.02/1.29 (assume @p156 (forall @t33 (or @t98 @t281 @t28 @t198 @t199))) % 1.02/1.29 (assume @p157 (forall @t79 (or @t98 @t97 @t282))) % 1.02/1.29 (assume @p158 (forall @t79 (or @t97 @t282))) % 1.02/1.29 (assume @p159 (forall @t285 (or @t90 @t284 @t115 (not @t283)))) % 1.02/1.29 (assume @p160 (forall @t285 (or @t90 @t284 @t283 @t116))) % 1.02/1.29 (assume @p161 (forall (@list @t1 @t6 @t64 @t286) (or @t105 (= (tptp.c_Power_Opower__class_Opower @t104 @t286 @t1) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower @t6 @t286 @t1) (tptp.c_Power_Opower__class_Opower @t64 @t286 @t1) @t1))))) % 1.02/1.29 (assume @p162 (forall @t211 (or @t287 (= (tptp.c_Power_Opower__class_Opower @t107 @t132 @t1) (tptp.c_HOL_Otimes__class_Otimes @t134 @t133 @t1))))) % 1.02/1.29 (assume @p163 (forall @t236 (or @t98 @t97 @t288))) % 1.02/1.29 (assume @p164 (forall @t5 (or @t98 @t97 @t289))) % 1.02/1.29 (assume @p165 (forall @t33 (or @t275 @t290 @t210 @t131))) % 1.02/1.29 (assume @p166 (forall @t33 (or @t275 @t290 @t291 @t196))) % 1.02/1.29 (assume @p167 (forall @t5 (or @t148 (tptp.c_lessequals @t2 @t32 @t1)))) % 1.02/1.29 (assume @p168 (forall @t33 (or @t148 @t290 @t210 @t131))) % 1.02/1.29 (assume @p169 (forall @t33 (or @t148 @t290 @t291 @t196))) % 1.02/1.29 (assume @p170 (forall @t33 (or @t292 @t290 @t210 @t131))) % 1.02/1.29 (assume @p171 (forall @t269 (or @t295 (not @t294)))) % 1.02/1.29 (assume @p172 (forall @t102 (or @t297 (not @t296)))) % 1.02/1.29 (assume @p173 (forall @t102 (or @t296 (not @t297)))) % 1.02/1.29 (assume @p174 (forall @t69 (or @t50 (not (= @t247 @t21)) @t65))) % 1.02/1.29 (assume @p175 (forall @t11 (or @t169 @t97 @t298 @t142 (not @t229)))) % 1.02/1.29 (assume @p176 (forall (@list @t1 @t3 @t22 @t6) (or @t93 @t301 @t300))) % 1.02/1.29 (assume @p177 (forall @t5 (or @t17 @t302 @t88))) % 1.02/1.29 (assume @p178 (forall @t5 (or @t169 @t303 @t88))) % 1.02/1.29 (assume @p179 (forall @t5 (or @t169 @t97 @t303 @t88))) % 1.02/1.29 (assume @p180 (forall @t5 (or @t169 @t97 @t87 @t304))) % 1.02/1.29 (assume @p181 (forall @t69 (or @t148 @t305 @t278))) % 1.02/1.29 (assume @p182 (forall @t69 (or @t148 @t305 @t62))) % 1.02/1.29 (assume @p183 (forall (@list @t27 @t3) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus @t27 @t3 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm @t27 tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm @t3 tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p184 (forall @t269 (or @t307 (not @t306)))) % 1.02/1.29 (assume @p185 (forall @t269 (or @t306 @t308))) % 1.02/1.29 (assume @p186 (forall @t69 (or @t50 @t65 (not (tptp.c_lessequals @t247 @t21 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p187 (forall @t149 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t45 @t145 @t80))) % 1.02/1.29 (assume @p188 (forall @t273 (or @t148 @t37 @t310 @t151))) % 1.02/1.29 (assume @p189 (forall @t273 (or @t148 @t37 @t80 @t145))) % 1.02/1.29 (assume @p190 (forall @t273 (or @t41 @t37 @t145 @t80))) % 1.02/1.29 (assume @p191 (forall @t273 (or @t148 @t37 @t151 @t310))) % 1.02/1.29 (assume @p192 (forall @t149 (or @t148 @t45 @t310 @t151))) % 1.02/1.29 (assume @p193 (forall @t149 (or @t148 @t45 @t80 @t145))) % 1.02/1.29 (assume @p194 (forall @t149 (or @t41 @t45 @t145 @t80))) % 1.02/1.29 (assume @p195 (forall @t149 (or @t148 @t45 @t151 @t310))) % 1.02/1.29 (assume @p196 (forall @t42 (or @t148 @t40 @t46 @t145))) % 1.02/1.29 (assume @p197 (forall @t154 (or @t148 @t309 @t46 @t151))) % 1.02/1.29 (assume @p198 (forall @t33 (or @t58 (= @t124 (tptp.c_RealVector_Onorm__class_Onorm @t74 @t1))))) % 1.02/1.29 (assume @p199 (forall @t33 (or @t4 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t29 @t1) @t176)))) % 1.02/1.29 (assume @p200 (forall (@list @t1 @t311 @t132) (or @t135 (tptp.c_HOL_Oord__class_Oless @t165 (tptp.c_HOL_Otimes__class_Otimes @t311 @t132 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t165 @t132 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t165 @t311 @t1))))) % 1.02/1.29 (assume @p201 (forall @t172 (or @t4 (= @t312 @t27)))) % 1.02/1.29 (assume @p202 (forall @t5 (or @t4 (= @t3 @t313)))) % 1.02/1.29 (assume @p203 (forall @t172 (or @t4 (= @t27 @t312)))) % 1.02/1.29 (assume @p204 (forall @t11 (or @t233 (= (tptp.c_HOL_Ouminus__class_Ouminus @t53 @t1) @t6)))) % 1.02/1.29 (assume @p205 (forall @t5 (or @t4 (= @t313 @t3)))) % 1.02/1.29 (assume @p206 (forall @t33 (or @t139 (= @t314 @t74)))) % 1.02/1.29 (assume @p207 (forall @t33 (or @t90 @t214 (not @t315)))) % 1.02/1.29 (assume @p208 (forall @t208 (or @t90 @t315 @t258))) % 1.02/1.29 (assume @p209 (forall @t33 (or @t90 @t317 (not @t316)))) % 1.02/1.29 (assume @p210 (forall @t208 (or @t90 @t316 (not @t317)))) % 1.02/1.29 (assume @p211 (forall @t114 (or @t113 @t112 @t318 @t109))) % 1.02/1.29 (assume @p212 (forall @t114 (or @t113 @t112 @t111 @t320))) % 1.02/1.29 (assume @p213 (forall @t120 (or @t119 @t118 @t321 @t116))) % 1.02/1.29 (assume @p214 (forall @t120 (or @t119 @t118 @t117 @t323))) % 1.02/1.29 (assume @p215 (forall @t69 (or @t119 @t322 @t116))) % 1.02/1.29 (assume @p216 (forall @t69 (or @t113 @t322 @t116))) % 1.02/1.29 (assume @p217 (forall @t69 (or @t119 @t115 @t319 @t323))) % 1.02/1.29 (assume @p218 (forall @t208 (or @t113 @t309 @t28 @t153))) % 1.02/1.29 (assume @p219 (forall @t208 (or @t113 @t309 @t153 @t28))) % 1.02/1.29 (assume @p220 (forall @t69 (or @t20 @t65 @t115 @t323))) % 1.02/1.29 (assume @p221 (forall @t69 (or @t20 @t65 @t323 @t115))) % 1.02/1.29 (assume @p222 (forall @t33 (or @t113 @t40 @t129 @t28))) % 1.02/1.29 (assume @p223 (forall @t33 (or @t113 @t40 @t28 @t129))) % 1.02/1.29 (assume @p224 (forall @t69 (or @t113 @t65 @t115 @t323))) % 1.02/1.29 (assume @p225 (forall @t69 (or @t113 @t115 @t65 @t323))) % 1.02/1.29 (assume @p226 (forall @t285 (or @t90 @t284 @t324 @t320))) % 1.02/1.29 (assume @p227 (forall @t285 (or @t90 @t284 @t319 (not @t324)))) % 1.02/1.29 (assume @p228 (forall @t33 (or @t90 @t128 (not @t325)))) % 1.02/1.29 (assume @p229 (forall @t208 (or @t90 @t325 @t129))) % 1.02/1.29 (assume @p230 (forall @t237 (or @t119 @t320 @t116))) % 1.02/1.29 (assume @p231 (forall @t69 (or @t20 @t115 @t319))) % 1.02/1.29 (assume @p232 (forall @t11 (or @t20 (not @t328) @t327))) % 1.02/1.29 (assume @p233 (forall @t11 (or @t20 @t326 @t328))) % 1.02/1.29 (assume @p234 (forall @t69 (or @t20 @t116 @t320))) % 1.02/1.29 (assume @p235 (forall @t237 (or @t20 @t319 @t115))) % 1.02/1.29 (assume @p236 (forall @t237 (or @t20 @t108 @t322))) % 1.02/1.29 (assume @p237 (forall @t69 (or @t20 @t323 @t109))) % 1.02/1.29 (assume @p238 (forall @t33 (or @t90 @t330 (not @t329)))) % 1.02/1.29 (assume @p239 (forall @t208 (or @t90 @t329 @t331))) % 1.02/1.29 (assume @p240 (forall @t33 (or @t90 @t333 (not @t332)))) % 1.02/1.29 (assume @p241 (forall @t208 (or @t90 @t332 @t334))) % 1.02/1.29 (assume @p242 (forall @t154 (or @t337 @t336 @t268 @t335 @t88))) % 1.02/1.29 (assume @p243 (forall @t33 (or @t178 @t338 @t210 @t88))) % 1.02/1.29 (assume @p244 (forall @t33 (or @t178 @t338 @t83 @t131))) % 1.02/1.29 (assume @p245 (forall @t33 (or @t206 @t333 (not @t339)))) % 1.02/1.29 (assume @p246 (forall @t33 (or @t206 @t339 @t334))) % 1.02/1.29 (assume @p247 (forall @t79 (or @t148 (tptp.c_lessequals @t341 @t2 @t1)))) % 1.02/1.29 (assume @p248 (forall @t33 (or @t178 @t177 @t175 @t196))) % 1.02/1.29 (assume @p249 (forall @t33 (or @t178 @t177 @t291 @t13))) % 1.02/1.29 (assume @p250 (forall @t69 (or @t148 (tptp.c_lessequals @t2 @t216 @t1)))) % 1.02/1.29 (assume @p251 (forall @t345 (or @t275 @t344 (not @t342)))) % 1.02/1.29 (assume @p252 (forall @t347 (or @t275 @t342 @t346))) % 1.02/1.29 (assume @p253 (forall @t345 (or @t275 @t344 (not @t349)))) % 1.02/1.29 (assume @p254 (forall @t350 (or @t275 @t349 @t346))) % 1.02/1.29 (assume @p255 (forall @t154 (or @t337 @t336 @t268 @t266 @t131))) % 1.02/1.29 (assume @p256 (forall @t237 (or @t148 @t278 @t351))) % 1.02/1.29 (assume @p257 (forall @t69 (or @t148 @t62 @t351))) % 1.02/1.29 (assume @p258 (forall @t69 (or @t93 (tptp.c_lessequals @t104 @t6 @t1) @t354 @t353 @t352))) % 1.02/1.29 (assume @p259 (forall @t237 (or @t93 (tptp.c_lessequals @t103 @t6 @t1) @t354 @t353 @t352))) % 1.02/1.29 (assume @p260 (forall @t11 (or @t169 @t97 @t355 @t228))) % 1.02/1.29 (assume @p261 (forall @t11 (or @t169 @t97 @t356 @t142 (not @t355)))) % 1.02/1.29 (assume @p262 (forall @t33 (or @t139 (= @t357 (tptp.c_HOL_Oplus__class_Oplus @t14 @t29 @t1))))) % 1.02/1.29 (assume @p263 (forall @t33 (or @t4 (= @t357 (tptp.c_HOL_Oplus__class_Oplus @t29 @t14 @t1))))) % 1.02/1.29 (assume @p264 (forall @t273 (or @t360 @t359 @t80))) % 1.02/1.29 (assume @p265 (forall @t273 (or @t337 @t359 @t80))) % 1.02/1.29 (assume @p266 (forall @t42 (or @t337 @t40 (not @t359)))) % 1.02/1.29 (assume @p267 (forall @t149 (or @t360 @t363 @t80))) % 1.02/1.29 (assume @p268 (forall @t149 (or @t337 @t363 @t80))) % 1.02/1.29 (assume @p269 (forall @t42 (or @t337 @t40 (not @t363)))) % 1.02/1.29 (assume @p270 (forall @t269 (or @t294 (not @t295)))) % 1.02/1.29 (assume @p271 (forall @t11 (or @t9 (= @t53 (tptp.c_HOL_Otimes__class_Otimes @t364 @t6 @t1))))) % 1.02/1.29 (assume @p272 (forall @t365 (or @t68 (= @t121 (tptp.c_RealVector_OscaleR__class_OscaleR @t22 @t165 @t1))))) % 1.02/1.29 (assume @p273 (forall @t42 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t107 @t34 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t35 @t1))))) % 1.02/1.29 (assume @p274 (forall @t367 (or @t105 (= @t366 (tptp.c_HOL_Otimes__class_Otimes @t223 @t220 @t1))))) % 1.02/1.29 (assume @p275 (forall @t367 (or @t105 (= @t366 (tptp.c_HOL_Otimes__class_Otimes @t222 (tptp.c_HOL_Otimes__class_Otimes @t220 @t221 @t1) @t1))))) % 1.02/1.29 (assume @p276 (forall @t369 (or @t105 (= @t368 (tptp.c_HOL_Otimes__class_Otimes @t223 @t219 @t1))))) % 1.02/1.29 (assume @p277 (forall @t369 (or @t105 (= @t368 (tptp.c_HOL_Otimes__class_Otimes @t221 (tptp.c_HOL_Otimes__class_Otimes @t222 @t219 @t1) @t1))))) % 1.02/1.29 (assume @p278 (forall @t370 (or @t105 (= (tptp.c_HOL_Otimes__class_Otimes @t6 (tptp.c_HOL_Otimes__class_Otimes @t64 @t110 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t104 @t110 @t1))))) % 1.02/1.29 (assume @p279 (forall @t5 (or @t206 @t87 (not @t371)))) % 1.02/1.29 (assume @p280 (forall @t5 (or @t206 @t371 @t88))) % 1.02/1.29 (assume @p281 (forall @t11 (or @t169 @t97 @t166 (not @t373) @t372))) % 1.02/1.29 (assume @p282 (forall @t33 (or @t148 @t195 @t130 @t374))) % 1.02/1.29 (assume @p283 (forall @t208 (or @t148 @t261 @t130 @t374))) % 1.02/1.29 (assume @p284 (forall @t33 (or @t148 @t195 @t209 @t374))) % 1.02/1.29 (assume @p285 (forall @t208 (or @t148 @t261 @t209 @t374))) % 1.02/1.29 (assume @p286 (forall @t5 (or @t375 (not (= @t14 @t3)) @t199))) % 1.02/1.29 (assume @p287 (forall @t79 (or @t148 (not (tptp.c_HOL_Oord__class_Oless @t2 @t341 @t1))))) % 1.02/1.29 (assume @p288 (forall @t33 (or @t157 (= @t248 @t249)))) % 1.02/1.29 (assume @p289 (forall @t69 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t53 @t64 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t104 @t1))))) % 1.02/1.29 (assume @p290 (forall @t33 (or @t157 (= @t250 @t249)))) % 1.02/1.29 (assume @p291 (forall (@list @t1 @t59 @t6) (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t59 @t53 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t182 @t1))))) % 1.02/1.29 (assume @p292 (forall @t172 (or @t10 (= (tptp.c_HOL_Otimes__class_Otimes @t29 @t29 @t1) @t31)))) % 1.02/1.29 (assume @p293 (forall @t33 (or @t77 (= (tptp.c_HOL_Otimes__class_Otimes @t14 @t29 @t1) @t107)))) % 1.02/1.29 (assume @p294 (forall @t5 (or @t377 @t376 @t199))) % 1.02/1.29 (assume @p295 (forall @t5 (or @t98 @t376 @t199))) % 1.02/1.29 (assume @p296 (forall @t5 (or @t98 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t95 @t1) @t165) @t199))) % 1.02/1.29 (assume @p297 (forall @t86 (or @t380 @t379 @t39 @t210 @t378 @t129))) % 1.02/1.29 (assume @p298 (forall @t86 (or @t380 @t379 @t39 @t131 @t378 @t129))) % 1.02/1.29 (assume @p299 (forall @t11 (or @t58 (tptp.c_lessequals @t21 @t63 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p300 (forall @t11 (or @t68 @t381))) % 1.02/1.29 (assume @p301 (forall @t11 (or @t58 @t68 @t381))) % 1.02/1.29 (assume @p302 (forall @t236 (or @t135 (tptp.c_HOL_Oord__class_Oless @t235 @t134 @t1) (not (tptp.c_HOL_Oord__class_Oless @t3 @t165 @t1)) @t88))) % 1.02/1.29 (assume @p303 (forall @t149 (or @t148 @t150 @t144 @t46))) % 1.02/1.29 (assume @p304 (forall @t154 (or @t148 @t309 @t40 @t46))) % 1.02/1.29 (assume @p305 (forall @t149 (or @t148 @t150 @t144 @t38))) % 1.02/1.29 (assume @p306 (forall @t154 (or @t148 @t309 @t40 @t38))) % 1.02/1.29 (assume @p307 (= (tptp.c_Transcendental_Osin @t21) @t21)) % 1.02/1.29 (assume @p308 (= (tptp.c_NthRoot_Osqrt @t21) @t21)) % 1.02/1.29 (assume @p309 (forall @t11 (or @t169 @t97 @t382 @t253))) % 1.02/1.29 (assume @p310 (forall @t33 (or @t377 (= @t383 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t176 @t95 @t1) @t280 @t1)) @t198 @t199))) % 1.02/1.29 (assume @p311 (forall @t33 (or @t98 (= @t383 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t95 @t176 @t1) @t280 @t1)) @t198 @t199))) % 1.02/1.29 (assume @p312 (forall @t5 (or @t4 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1) @t14)))) % 1.02/1.29 (assume @p313 (forall @t33 (or @t98 (= @t384 (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t95 @t123 @t1) @t280 @t1) @t1)) @t198 @t199))) % 1.02/1.29 (assume @p314 (forall (@list @t22 @t385) (= (tptp.c_HOL_Ominus__class_Ominus @t22 @t385 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t22 (tptp.c_HOL_Ouminus__class_Ouminus @t385 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p315 (forall @t69 (or @t139 @t386))) % 1.02/1.29 (assume @p316 (forall @t69 (or @t9 @t386))) % 1.02/1.29 (assume @p317 (forall @t33 (or @t4 @t387))) % 1.02/1.29 (assume @p318 (forall @t33 (or @t139 @t387))) % 1.02/1.29 (assume @p319 (forall @t102 (= (tptp.c_Transcendental_Osin @t61) (tptp.c_HOL_Ouminus__class_Ouminus @t388 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p320 (forall (@list @t389 @t390) (or @t392 (not @t391)))) % 1.02/1.29 (assume @p321 (forall (@list @t390 @t389) (or @t391 (not @t392)))) % 1.02/1.29 (assume @p322 (forall @t5 (or @t148 (not (tptp.c_HOL_Oord__class_Oless @t32 @t2 @t1))))) % 1.02/1.29 (assume @p323 (forall @t33 (or @t148 @t259 @t291 @t131))) % 1.02/1.29 (assume @p324 (forall @t33 (or @t148 @t259 @t210 @t196))) % 1.02/1.29 (assume @p325 (forall @t33 (or @t292 @t259 @t291 @t131))) % 1.02/1.29 (assume @p326 (forall @t33 (or @t292 @t259 @t210 @t196))) % 1.02/1.29 (assume @p327 (forall @t208 (or @t292 (tptp.c_lessequals @t106 @t2 @t1) @t291 @t131))) % 1.02/1.29 (assume @p328 (forall @t33 (or @t377 @t97 (= @t393 (tptp.c_HOL_Otimes__class_Otimes @t95 @t280 @t1))))) % 1.02/1.29 (assume @p329 (forall @t33 (or @t98 (= @t393 (tptp.c_HOL_Otimes__class_Otimes @t280 @t95 @t1)) @t198 @t199))) % 1.02/1.29 (assume @p330 (forall @t158 (or @t58 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR @t6 @t64 @t1) @t56 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR @t394 @t155 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t394 @t27 @t1) @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t155 @t1) @t1))))) % 1.02/1.29 (assume @p331 (forall @t5 (or @t98 @t96 @t199))) % 1.02/1.29 (assume @p332 (= (tptp.c_Transcendental_Ocos @t21) @t160)) % 1.02/1.29 (assume @p333 (forall @t163 (or @t396 (not @t395)))) % 1.02/1.29 (assume @p334 (forall @t163 (or @t395 (not @t396)))) % 1.02/1.29 (assume @p335 (forall @t102 (or (tptp.c_HOL_Oord__class_Oless @t21 @t99 tptp.tc_RealDef_Oreal) @t230))) % 1.02/1.29 (assume @p336 (forall @t69 (or @t50 (= @t247 (tptp.c_RealVector_Odist__class_Odist @t64 @t6 @t1))))) % 1.02/1.29 (assume @p337 (forall @t5 (or @t90 @t195 (not @t397)))) % 1.02/1.29 (assume @p338 (forall @t5 (or @t90 @t397 @t196))) % 1.02/1.29 (assume @p339 (forall @t55 (or @t54 (not (= @t51 @t2)) @t62 @t398))) % 1.02/1.29 (assume @p340 (forall (@list @t1 @t22 @t3 @t27) (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR @t22 @t3 @t1) @t27 @t1) @t399)))) % 1.02/1.29 (assume @p341 (forall (@list @t1 @t22 @t6 @t64) (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t122 @t64 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t22 @t104 @t1))))) % 1.02/1.29 (assume @p342 (forall @t401 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t400 @t1) @t399)))) % 1.02/1.29 (assume @p343 (forall (@list @t1 @t59 @t22 @t6) (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t59 @t122 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t22 @t182 @t1))))) % 1.02/1.29 (assume @p344 (forall @t244 (or @t403 (= (tptp.c_HOL_Otimes__class_Otimes @t51 @t64 @t1) @t402)))) % 1.02/1.29 (assume @p345 (forall (@list @t1 @t6 @t3 @t64) (or @t403 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t243 @t1) @t402)))) % 1.02/1.29 (assume @p346 (forall @t5 (or @t169 @t404 @t199))) % 1.02/1.29 (assume @p347 (forall @t5 (or @t169 @t87 @t199 @t304))) % 1.02/1.29 (assume @p348 (forall @t102 (or @t231 @t265 @t279))) % 1.02/1.29 (assume @p349 (forall @t208 (or @t169 @t309 @t88 @t405))) % 1.02/1.29 (assume @p350 (forall @t208 (or @t169 @t406 @t88 @t80))) % 1.02/1.29 (assume @p351 (forall @t208 (or @t169 @t309 @t175 @t405))) % 1.02/1.29 (assume @p352 (forall @t208 (or @t169 @t406 @t175 @t80))) % 1.02/1.29 (assume @p353 (forall @t5 (or @t169 @t97 @t130 (not @t407)))) % 1.02/1.29 (assume @p354 (forall @t5 (or @t169 @t97 @t407 @t131))) % 1.02/1.29 (assume @p355 (forall @t102 (or (not (= @t409 @t160)) @t408))) % 1.02/1.29 (assume @p356 (forall @t102 (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus @t410 tptp.tc_RealDef_Oreal) @t410 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p357 (forall @t102 (or @t231 @t279))) % 1.02/1.29 (assume @p358 (forall @t236 (or @t93 @t411 @t131))) % 1.02/1.29 (assume @p359 (forall @t236 (or @t135 @t411 @t131))) % 1.02/1.29 (assume @p360 (forall @t5 (or @t206 @t195 @t413))) % 1.02/1.29 (assume @p361 (forall @t5 (or @t206 @t412 @t196))) % 1.02/1.29 (assume @p362 (forall @t5 (or @t206 @t130 @t415))) % 1.02/1.29 (assume @p363 (forall @t5 (or @t206 @t414 @t131))) % 1.02/1.29 (assume @p364 (forall @t5 (or @t375 @t195 @t413))) % 1.02/1.29 (assume @p365 (forall @t5 (or @t375 @t412 @t196))) % 1.02/1.29 (assume @p366 (forall @t5 (or @t375 @t130 @t415))) % 1.02/1.29 (assume @p367 (forall @t5 (or @t375 @t414 @t131))) % 1.02/1.29 (assume @p368 (forall @t33 (or @t4 (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t176 @t1) @t27)))) % 1.02/1.29 (assume @p369 (forall (@list @t1 @t110 @t64) (or @t139 (= (tptp.c_HOL_Oplus__class_Oplus @t417 @t416 @t1) @t64)))) % 1.02/1.29 (assume @p370 (forall @t86 (or @t360 @t419 @t81 @t80))) % 1.02/1.29 (assume @p371 (forall (@list @t1 @t420 @t64 @t6 @t110) (or @t10 @t9 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t420 @t64 @t1) @t422 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t420 @t110 @t1) @t104 @t1))) @t421 (= @t420 @t6)))) % 1.02/1.29 (assume @p372 (forall @t86 (or @t10 @t9 (not (= (tptp.c_HOL_Oplus__class_Oplus @t36 @t84 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t70 @t1) @t35 @t1))) @t276 @t28))) % 1.02/1.29 (assume @p373 (forall (@list @t1 @t3 @t311 @t27) (or @t105 (= (tptp.c_HOL_Oplus__class_Oplus @t423 (tptp.c_HOL_Otimes__class_Otimes @t27 @t311 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t176 @t311 @t1))))) % 1.02/1.29 (assume @p374 (forall @t42 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t424))) % 1.02/1.29 (assume @p375 (forall @t370 (or @t105 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t416 @t1) @t425)))) % 1.02/1.29 (assume @p376 (forall @t190 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t3 @t188 @t1) @t27 @t1) (tptp.c_HOL_Oplus__class_Oplus @t107 @t189 @t1))))) % 1.02/1.29 (assume @p377 (forall @t194 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t426 @t191 @t1) (tptp.c_HOL_Oplus__class_Oplus @t193 @t192 @t1))))) % 1.02/1.29 (assume @p378 (forall @t187 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t427 @t1) (tptp.c_HOL_Oplus__class_Oplus @t107 @t185 @t1))))) % 1.02/1.29 (assume @p379 (forall @t183 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t59 @t426 @t1) (tptp.c_HOL_Oplus__class_Oplus @t182 @t181 @t1))))) % 1.02/1.29 (assume @p380 (forall @t42 (or @t105 @t424))) % 1.02/1.29 (assume @p381 (forall @t33 (or @t4 (= (tptp.c_HOL_Oplus__class_Oplus @t3 (tptp.c_HOL_Oplus__class_Oplus @t14 @t27 @t1) @t1) @t27)))) % 1.02/1.29 (assume @p382 (forall @t5 (or @t206 (not (= @t203 @t2)) @t199))) % 1.02/1.29 (assume @p383 (forall (@list @t1 @t6 @t3) (or @t10 @t9 (not (= @t6 (tptp.c_HOL_Oplus__class_Oplus @t6 @t3 @t1))) @t199))) % 1.02/1.29 (assume @p384 (forall @t370 (or @t10 @t9 (= @t425 (tptp.c_HOL_Oplus__class_Oplus @t422 @t104 @t1))))) % 1.02/1.29 (assume @p385 (forall (@list @t1 @t6 @t34 @t70) (or @t10 @t9 (= (tptp.c_HOL_Oplus__class_Oplus @t428 @t429 @t1) (tptp.c_HOL_Oplus__class_Oplus @t429 @t428 @t1))))) % 1.02/1.29 (assume @p386 (forall @t33 (or @t4 (= (tptp.c_HOL_Oplus__class_Oplus @t123 @t27 @t1) @t3)))) % 1.02/1.29 (assume @p387 (forall @t79 (or @t206 @t430))) % 1.02/1.29 (assume @p388 (forall (@list @t1 @t3 @t71 @t27 @t34) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t76 (tptp.c_HOL_Oplus__class_Oplus @t72 @t34 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t176 @t71 @t1) @t34 @t1))))) % 1.02/1.29 (assume @p389 (forall @t86 (or @t139 (= (tptp.c_HOL_Ominus__class_Ominus @t267 @t418 @t1) (tptp.c_HOL_Oplus__class_Oplus @t123 (tptp.c_HOL_Ominus__class_Ominus @t34 @t70 @t1) @t1))))) % 1.02/1.29 (assume @p390 (forall @t244 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t426 @t1) (tptp.c_HOL_Oplus__class_Oplus @t51 @t243 @t1))))) % 1.02/1.29 (assume @p391 (forall @t187 (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t427 @t1) (tptp.c_HOL_Oplus__class_Oplus @t56 @t242 @t1))))) % 1.02/1.29 (assume @p392 (forall @t370 (or @t139 (not (= @t431 @t64)) (= @t6 @t417)))) % 1.02/1.29 (assume @p393 (forall @t5 (or @t433 @t432))) % 1.02/1.29 (assume @p394 (forall @t5 (or @t433 @t434))) % 1.02/1.29 (assume @p395 (forall @t5 (or @t336 @t432))) % 1.02/1.29 (assume @p396 (forall @t11 (or @t10 @t9 (= @t6 (tptp.c_HOL_Oplus__class_Oplus @t6 @t2 @t1))))) % 1.02/1.29 (assume @p397 (forall @t11 (or @t105 (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t6 @t1) @t6)))) % 1.02/1.29 (assume @p398 (forall @t5 (or @t336 @t434))) % 1.02/1.29 (assume @p399 (forall @t5 (or @t105 @t432))) % 1.02/1.29 (assume @p400 (forall @t5 (or @t105 @t434))) % 1.02/1.29 (assume @p401 (forall @t33 (or @t4 (= (tptp.c_HOL_Ominus__class_Ominus @t176 @t27 @t1) @t3)))) % 1.02/1.29 (assume @p402 (forall @t79 (or @t135 (tptp.c_HOL_Oord__class_Oless @t2 @t435 @t1)))) % 1.02/1.29 (assume @p403 (forall @t79 (or @t98 @t436))) % 1.02/1.29 (assume @p404 (forall @t79 (or @t377 @t97 @t436))) % 1.02/1.29 (assume @p405 (forall (@list @t1 @t132) (or @t437 (= (tptp.c_Power_Opower__class_Opower @t165 @t132 @t1) @t165)))) % 1.02/1.29 (assume @p406 (forall @t79 (or @t256 (not (= @t2 @t165))))) % 1.02/1.29 (assume @p407 (forall @t79 (or @t256 (not (= @t165 @t2))))) % 1.02/1.29 (assume @p408 (forall @t5 (or @t437 @t438))) % 1.02/1.29 (assume @p409 (forall @t5 (or @t437 @t439))) % 1.02/1.29 (assume @p410 (forall @t5 (or @t287 @t439))) % 1.02/1.29 (assume @p411 (forall @t11 (or @t105 (= (tptp.c_HOL_Otimes__class_Otimes @t165 @t6 @t1) @t6)))) % 1.02/1.29 (assume @p412 (forall @t5 (or @t105 @t438))) % 1.02/1.29 (assume @p413 (forall @t5 (or @t105 @t439))) % 1.02/1.29 (assume @p414 (forall @t11 (or @t377 @t97 (not (= @t164 @t165)) (= @t6 @t165)))) % 1.02/1.29 (assume @p415 (forall @t33 (or @t58 (tptp.c_lessequals @t127 (tptp.c_RealVector_Onorm__class_Onorm @t176 @t1) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p416 (forall @t237 (or @t93 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t64 @t1) @t6 @t1) (tptp.c_HOL_Oabs__class_Oabs @t103 @t1)) @t352))) % 1.02/1.29 (assume @p417 (forall @t236 (or @t93 (tptp.c_lessequals @t2 @t440 @t1)))) % 1.02/1.29 (assume @p418 (forall @t33 (or @t443 @t442 @t291 @t196))) % 1.02/1.29 (assume @p419 (forall @t33 (or @t443 @t442 @t210 @t196))) % 1.02/1.29 (assume @p420 (forall @t33 (or @t443 @t442 @t291 @t131))) % 1.02/1.29 (assume @p421 (forall @t33 (or @t443 @t442 @t210 @t131))) % 1.02/1.29 (assume @p422 (forall @t5 (or @t17 (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t1) @t2 @t1)))) % 1.02/1.29 (assume @p423 (forall @t5 (or @t17 @t16 @t196))) % 1.02/1.29 (assume @p424 (forall @t445 (or @t93 @t444 @t300))) % 1.02/1.29 (assume @p425 (forall @t445 (or @t93 @t299 (not @t444) (not @t301)))) % 1.02/1.29 (assume @p426 (forall @t269 (or @t446 @t308))) % 1.02/1.29 (assume @p427 (forall @t269 (or @t446 (not @t447)))) % 1.02/1.29 (assume @p428 (forall @t269 (or @t447 @t448))) % 1.02/1.29 (assume @p429 (forall @t269 (or @t307 @t65 @t448))) % 1.02/1.29 (assume @p430 (forall (@list @t1 @t6 @t64 @t22 @t385) (or @t58 (tptp.c_HOL_Oord__class_Oless @t450 (tptp.c_HOL_Oplus__class_Oplus @t22 @t385 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t449 @t385 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t63 @t22 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p431 (forall @t451 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t420 tptp.tc_Complex_Ocomplex) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus @t420 @t110 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm @t110 tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p432 (forall @t454 (or @t453 (not @t452)))) % 1.02/1.29 (assume @p433 (forall @t269 (or @t452 (not @t453)))) % 1.02/1.29 (assume @p434 (forall @t33 (or @t58 (tptp.c_lessequals @t124 (tptp.c_HOL_Oplus__class_Oplus @t126 @t125 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p435 (forall @t269 (or @t456 (not @t455)))) % 1.02/1.29 (assume @p436 (forall @t269 (or @t455 (not @t456)))) % 1.02/1.29 (assume @p437 (forall @t5 (or @t17 (not (= @t15 @t2)) @t199))) % 1.02/1.29 (assume @p438 (forall @t5 (or @t93 (= (tptp.c_HOL_Otimes__class_Otimes @t15 @t15 @t1) @t32)))) % 1.02/1.29 (assume @p439 (forall @t33 (or @t93 @t40 @t213))) % 1.02/1.29 (assume @p440 (forall @t5 (or @t17 (= (tptp.c_HOL_Oabs__class_Oabs @t14 @t1) @t15)))) % 1.02/1.29 (assume @p441 (forall @t33 (or @t17 (= @t457 (tptp.c_HOL_Oabs__class_Oabs @t74 @t1))))) % 1.02/1.29 (assume @p442 (forall @t33 (or @t93 @t442))) % 1.02/1.29 (assume @p443 (forall @t79 (or @t17 (= @t458 @t2)))) % 1.02/1.29 (assume @p444 (forall @t236 (or @t93 (= @t459 @t440)))) % 1.02/1.29 (assume @p445 (forall @t5 (or @t169 @t97 @t404))) % 1.02/1.29 (assume @p446 (= (tptp.c_NthRoot_Osqrt @t160) @t160)) % 1.02/1.29 (assume @p447 (not (= @t21 @t160))) % 1.02/1.29 (assume @p448 (forall @t11 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t160 @t6 @t1) @t6)))) % 1.02/1.29 (assume @p449 (forall @t102 (or (not (= @t99 @t160)) (= @t6 @t160)))) % 1.02/1.29 (assume @p450 (forall @t79 (or @t68 (= (tptp.c_RealVector_Oof__real tptp.v_r @t1) (tptp.c_RealVector_OscaleR__class_OscaleR tptp.v_r @t165 @t1))))) % 1.02/1.29 (assume @p451 (forall @t5 (or @t58 (= (tptp.c_HOL_Oabs__class_Oabs @t126 tptp.tc_RealDef_Oreal) @t126)))) % 1.02/1.29 (assume @p452 (forall @t94 (or @t58 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t463 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm @t461 @t1) (tptp.c_RealVector_Onorm__class_Onorm @t460 @t1) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p453 (forall @t102 (tptp.c_HOL_Oord__class_Oless @t21 (tptp.c_HOL_Oplus__class_Oplus @t160 @t464 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p454 (forall @t33 (or @t178 @t339 @t291 @t196))) % 1.02/1.29 (assume @p455 (forall @t5 (or @t206 @t465 @t196))) % 1.02/1.29 (assume @p456 (forall @t5 (or @t206 @t195 (not @t465)))) % 1.02/1.29 (assume @p457 (forall @t5 (or @t206 @t466 @t131))) % 1.02/1.29 (assume @p458 (forall @t5 (or @t206 @t130 (not @t466)))) % 1.02/1.29 (assume @p459 (forall @t33 (or @t178 (tptp.c_lessequals @t2 @t176 @t1) @t210 @t131))) % 1.02/1.29 (assume @p460 (forall @t69 (or @t178 @t467 @t353 @t352 @t278))) % 1.02/1.29 (assume @p461 (forall @t69 (or @t178 @t467 @t353 @t352 @t62))) % 1.02/1.29 (assume @p462 @t469) % 1.02/1.29 (assume @p463 (forall @t154 (or @t337 @t336 @t468 @t335 @t131))) % 1.02/1.29 (assume @p464 (forall @t79 (or @t178 @t470 @t470 @t430))) % 1.02/1.29 (assume @p465 (forall @t86 (or @t360 @t419 @t378 @t80))) % 1.02/1.29 (assume @p466 (forall @t86 (or @t360 @t419 @t81 @t129))) % 1.02/1.29 (assume @p467 (forall @t79 (or @t135 (not (tptp.c_lessequals @t165 @t2 @t1))))) % 1.02/1.29 (assume @p468 (forall (@list @t1 @t3 @t71 @t34 @t27) (or @t77 (= @t343 (tptp.c_HOL_Oplus__class_Oplus @t72 @t348 @t1))))) % 1.02/1.29 (assume @p469 (forall @t365 (or @t471 (= (tptp.c_RealVector_Onorm__class_Onorm @t121 @t1) @t25)))) % 1.02/1.29 (assume @p470 (forall @t102 (or (not @t408) (= @t472 @t160)))) % 1.02/1.29 (assume @p471 (forall @t454 (or @t474 (not @t473)))) % 1.02/1.29 (assume @p472 (forall @t269 (or @t473 (not @t474)))) % 1.02/1.29 (assume @p473 (forall @t345 (or @t77 @t475 (= @t348 @t70)))) % 1.02/1.29 (assume @p474 (forall @t345 (or @t77 @t475 (= @t34 @t75)))) % 1.02/1.29 (assume @p475 (forall @t5 (or @t17 (tptp.c_HOL_Oord__class_Oless @t2 @t15 @t1) @t199))) % 1.02/1.29 (assume @p476 (forall @t11 (or @t58 (= (tptp.c_RealVector_Onorm__class_Onorm @t53 @t1) @t63)))) % 1.02/1.29 (assume @p477 (forall @t102 (= (tptp.c_NthRoot_Osqrt @t61) (tptp.c_HOL_Ouminus__class_Ouminus @t99 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p478 (forall @t33 (or @t58 (tptp.c_lessequals @t127 @t124 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p479 (forall @t401 (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t400 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t22 @t56 @t1))))) % 1.02/1.29 (assume @p480 (forall @t246 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t245 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t27 @t51 @t1))))) % 1.02/1.29 (assume @p481 (forall (@list @t1 @t476 @t22 @t6) (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t476 @t122 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t22 (tptp.c_RealVector_OscaleR__class_OscaleR @t476 @t6 @t1) @t1))))) % 1.02/1.29 (assume @p482 (forall @t79 (or @t58 (= @t78 @t21)))) % 1.02/1.29 (assume @p483 (forall @t236 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= @t477 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower @t364 @t132 @t1) @t134 @t1))))) % 1.02/1.29 (assume @p484 (forall @t208 (or @t169 @t152 @t88 @t478))) % 1.02/1.29 (assume @p485 (forall @t208 (or @t169 @t479 @t88 @t129))) % 1.02/1.29 (assume @p486 (forall @t208 (or @t169 @t152 @t175 @t478))) % 1.02/1.29 (assume @p487 (forall @t208 (or @t169 @t479 @t175 @t129))) % 1.02/1.29 (assume @p488 (forall @t236 (or @t437 (= (tptp.c_HOL_Otimes__class_Otimes @t134 @t3 @t1) @t235)))) % 1.02/1.29 (assume @p489 (forall @t69 (or @t68 @t480))) % 1.02/1.29 (assume @p490 (forall @t69 (or @t58 @t68 @t480))) % 1.02/1.29 (assume @p491 (forall @t350 (or @t275 @t483 @t482))) % 1.02/1.29 (assume @p492 (forall @t345 (or @t275 @t481 (not @t483)))) % 1.02/1.29 (assume @p493 (forall @t347 (or @t275 @t484 @t482))) % 1.02/1.29 (assume @p494 (forall @t345 (or @t275 @t481 (not @t484)))) % 1.02/1.29 (assume @p495 (forall @t236 (or @t135 (tptp.c_HOL_Oord__class_Oless @t2 @t134 @t1) @t88))) % 1.02/1.29 (assume @p496 (forall @t269 (or (not (= @t293 @t21)) (= @t64 @t61)))) % 1.02/1.29 (assume @p497 (forall @t33 (or @t4 @t485 (= @t14 @t27)))) % 1.02/1.29 (assume @p498 (forall @t33 (or @t4 @t485 @t30))) % 1.02/1.29 (assume @p499 (forall @t79 (or @t135 (not (tptp.c_HOL_Oord__class_Oless @t165 @t2 @t1))))) % 1.02/1.29 (assume @p500 (forall @t236 (or @t98 @t288 @t199))) % 1.02/1.29 (assume @p501 (forall @t5 (or @t98 @t289 @t199))) % 1.02/1.29 (assume @p502 (forall @t5 (or @t105 @t486))) % 1.02/1.29 (assume @p503 (forall @t5 (or @t105 @t487))) % 1.02/1.29 (assume @p504 (forall (@list @t1 @t64) (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t64 @t1) @t2)))) % 1.02/1.29 (assume @p505 (forall @t172 (or @t157 @t488))) % 1.02/1.29 (assume @p506 (forall @t5 (or @t157 @t487))) % 1.02/1.29 (assume @p507 (forall @t11 (or @t157 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 @t1) @t2)))) % 1.02/1.29 (assume @p508 (forall @t11 (or @t105 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t6 @t1) @t2)))) % 1.02/1.29 (assume @p509 (forall @t5 (or @t255 @t486))) % 1.02/1.29 (assume @p510 (forall @t5 (or @t255 @t487))) % 1.02/1.29 (assume @p511 (forall @t172 (or @t202 @t488))) % 1.02/1.29 (assume @p512 (forall @t5 (or @t202 @t487))) % 1.02/1.29 (assume @p513 (forall @t236 (or @t93 (= (tptp.c_HOL_Oabs__class_Oabs @t477 @t1) @t459)))) % 1.02/1.29 (assume @p514 (forall @t102 (or @t490 (not @t489)))) % 1.02/1.29 (assume @p515 (forall @t102 (or @t489 (not @t490)))) % 1.02/1.29 (assume @p516 (forall @t11 (or @t20 @t327))) % 1.02/1.29 (assume @p517 (forall @t11 (or @t113 @t327))) % 1.02/1.29 (assume @p518 (forall @t102 (not (tptp.c_HOL_Oord__class_Oless @t6 @t6 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p519 (forall @t11 (or @t119 @t327))) % 1.02/1.29 (assume @p520 (forall @t33 (or @t178 @t338 @t83 @t88))) % 1.02/1.29 (assume @p521 (forall @t5 (or @t169 @t97 @t12 @t271))) % 1.02/1.29 (assume @p522 (forall @t5 (or @t169 @t97 @t270 @t13))) % 1.02/1.29 (assume @p523 (forall @t5 (or @t169 @t270 @t13))) % 1.02/1.29 (assume @p524 (forall @t269 (or @t446 (not @t491)))) % 1.02/1.29 (assume @p525 (forall @t269 (or @t491 @t448))) % 1.02/1.29 (assume @p526 (forall @t33 (or @t90 @t492 @t129))) % 1.02/1.29 (assume @p527 (forall @t33 (or @t90 @t128 (not @t492)))) % 1.02/1.29 (assume @p528 (forall @t11 (or @t169 @t97 @t252 (not @t382) @t372))) % 1.02/1.29 (assume @p529 (forall @t102 (= (tptp.c_Transcendental_Ocos @t61) @t409))) % 1.02/1.29 (assume @p530 (forall @t33 (or @t90 @t493 @t80))) % 1.02/1.29 (assume @p531 (forall @t33 (or @t90 @t40 (not @t493)))) % 1.02/1.29 (assume @p532 (forall @t5 (or @t17 (not (tptp.c_HOL_Oord__class_Oless @t15 @t2 @t1))))) % 1.02/1.29 (assume @p533 (forall @t79 (or @t135 (tptp.c_HOL_Oord__class_Oless @t2 @t165 @t1)))) % 1.02/1.29 (assume @p534 (forall @t79 (or @t4 (= @t2 @t494)))) % 1.02/1.29 (assume @p535 (forall @t5 (or @t98 @t97 @t495 @t199))) % 1.02/1.29 (assume @p536 (forall @t5 (or @t98 @t495 @t199))) % 1.02/1.29 (assume @p537 (forall @t86 (or @t41 @t85 @t39 @t88 @t81 @t129))) % 1.02/1.29 (assume @p538 (forall @t86 (or @t41 @t85 @t145 @t131 @t378 @t80))) % 1.02/1.29 (assume @p539 (forall (@list @t1 @t3 @t311 @t132) (or @t135 (not (= (tptp.c_Power_Opower__class_Opower @t3 @t311 @t1) @t134)) @t234 (= @t311 @t132)))) % 1.02/1.29 (assume @p540 (forall @t33 (or @t77 (= @t248 @t250)))) % 1.02/1.29 (assume @p541 (forall @t79 (or @t4 @t496))) % 1.02/1.29 (assume @p542 (forall @t79 (or @t375 @t496))) % 1.02/1.29 (assume @p543 (forall @t26 (or (= @t25 @t22) @t23))) % 1.02/1.29 (assume @p544 (forall @t5 (or @t20 @t19 @t302 @t12))) % 1.02/1.29 (assume @p545 (forall @t5 (or @t18 @t302 @t12))) % 1.02/1.29 (assume @p546 (forall @t33 (or @t139 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t29 @t1) @t314)))) % 1.02/1.29 (assume @p547 (forall @t79 (or @t17 (not (tptp.c_HOL_Oord__class_Oless @t2 @t458 @t1))))) % 1.02/1.29 (assume @p548 (forall @t11 (or @t169 @t97 @t229 (not @t298)))) % 1.02/1.29 (assume @p549 (forall @t69 (or @t54 (= @t173 (tptp.c_RealVector_OscaleR__class_OscaleR @t21 @t64 @t1))))) % 1.02/1.29 (assume @p550 (forall @t33 (or @t54 (= @t170 (tptp.c_RealVector_OscaleR__class_OscaleR @t27 @t2 @t1))))) % 1.02/1.29 (assume @p551 (forall @t33 (or @t98 (= @t384 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t95 @t74 @t1) @t280 @t1)) @t198 @t199))) % 1.02/1.29 (assume @p552 (forall @t244 (or @t54 (not (= @t51 @t243)) @t398 @t65))) % 1.02/1.29 (assume @p553 (forall (@list @t1 @t3 @t6 @t27) (or @t54 (not (= @t51 @t245)) @t62 @t28))) % 1.02/1.29 (assume @p554 (forall @t79 (or @t148 (= @t341 @t2)))) % 1.02/1.29 (assume @p555 (forall @t154 (or @t148 @t309 @t144 @t46))) % 1.02/1.29 (assume @p556 (forall @t149 (or @t148 @t150 @t40 @t46))) % 1.02/1.29 (assume @p557 (forall @t154 (or @t148 @t309 @t144 @t38))) % 1.02/1.29 (assume @p558 (forall @t149 (or @t148 @t150 @t40 @t38))) % 1.02/1.29 (assume @p559 (forall @t5 (or @t90 @t12 (not @t497)))) % 1.02/1.29 (assume @p560 (forall @t5 (or @t90 @t497 @t13))) % 1.02/1.29 (assume @p561 (forall @t69 (or (not (tptp.class_RealVector_Odist__norm @t1)) (= @t247 (tptp.c_RealVector_Onorm__class_Onorm @t180 @t1))))) % 1.02/1.29 (assume @p562 (forall @t5 (or @t93 @t12 (not @t498)))) % 1.02/1.29 (assume @p563 (forall @t5 (or @t93 @t498 @t13))) % 1.02/1.29 (assume @p564 (forall @t208 (or @t119 @t310 @t80))) % 1.02/1.29 (assume @p565 (forall @t237 (or @t119 @t109 @t116))) % 1.02/1.29 (assume @p566 (forall @t69 (or @t20 @t116 @t109))) % 1.02/1.29 (assume @p567 (forall @t33 (or @t113 @t80 @t310))) % 1.02/1.29 (assume @p568 (forall @t11 (or @t169 @t97 @t373 @t167))) % 1.02/1.29 (assume @p569 (forall @t79 (or @t135 (tptp.c_lessequals @t2 @t165 @t1)))) % 1.02/1.29 (assume @p570 (forall @t11 (or @t169 @t97 @t355 (not @t356)))) % 1.02/1.29 (assume @p571 (forall @t236 (or @t135 (tptp.c_lessequals @t165 @t134 @t1) (not (tptp.c_lessequals @t165 @t3 @t1))))) % 1.02/1.29 (assume @p572 (forall (@list @t1 @t311 @t3) (or @t105 (= (tptp.c_HOL_Oplus__class_Oplus @t311 @t423 @t1) @t500)))) % 1.02/1.29 (assume @p573 (forall (@list @t1 @t3 @t311) (or @t105 (= (tptp.c_HOL_Oplus__class_Oplus @t423 @t311 @t1) @t500)))) % 1.02/1.29 (assume @p574 (forall (@list @t1 @t311) (or @t105 (= (tptp.c_HOL_Oplus__class_Oplus @t311 @t311 @t1) (tptp.c_HOL_Otimes__class_Otimes @t435 @t311 @t1))))) % 1.02/1.29 (assume @p575 (forall @t5 (or @t135 (tptp.c_HOL_Oord__class_Oless @t3 @t499 @t1)))) % 1.02/1.29 (assume @p576 (forall @t5 (or @t17 (tptp.c_lessequals @t2 @t15 @t1)))) % 1.02/1.29 (assume @p577 (forall @t5 (or @t17 (tptp.c_lessequals @t14 @t15 @t1)))) % 1.02/1.29 (assume @p578 (forall @t79 (or @t17 (tptp.c_lessequals @t458 @t2 @t1)))) % 1.02/1.29 (assume @p579 (forall @t33 (or @t17 @t501 @t331 @t129))) % 1.02/1.29 (assume @p580 (forall @t33 (or @t17 (tptp.c_lessequals @t502 @t457 @t1)))) % 1.02/1.29 (assume @p581 (forall @t33 (or @t17 @t330 @t503))) % 1.02/1.29 (assume @p582 (forall @t5 (or @t17 @t302 @t131))) % 1.02/1.29 (assume @p583 (forall @t5 (or @t17 @t199 (not (tptp.c_lessequals @t15 @t2 @t1))))) % 1.02/1.29 (assume @p584 (forall @t33 (or (not (tptp.class_Ring__and__Field_Olordered__ring @t1)) (tptp.c_lessequals @t441 @t92 @t1)))) % 1.02/1.29 (assume @p585 (forall @t33 (or @t17 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t502 @t1) @t457 @t1)))) % 1.02/1.29 (assume @p586 (= (tptp.c_HOL_Ominus__class_Ominus tptp.v_r tptp.v_s tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus tptp.v_r (tptp.c_HOL_Ouminus__class_Ouminus tptp.v_s tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p587 (forall @t69 (or @t58 @t68 @t504))) % 1.02/1.29 (assume @p588 (forall @t69 (or @t68 @t504))) % 1.02/1.29 (assume @p589 (forall @t246 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus @t3 @t27 tptp.tc_RealDef_Oreal) @t6 @t1) (tptp.c_HOL_Oplus__class_Oplus @t51 @t245 @t1))))) % 1.02/1.29 (assume @p590 (forall @t241 (or @t54 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t293 @t59 @t1) (tptp.c_HOL_Oplus__class_Oplus @t60 @t239 @t1))))) % 1.02/1.29 (assume @p591 (forall @t190 (or @t58 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus @t3 @t188 tptp.tc_RealDef_Oreal) @t27 @t1) (tptp.c_HOL_Oplus__class_Oplus @t56 @t238 @t1))))) % 1.02/1.29 (assume @p592 (forall @t79 (or @t471 (= (tptp.c_RealVector_Onorm__class_Onorm @t165 @t1) @t160)))) % 1.02/1.29 (assume @p593 (forall @t79 (or @t68 (= (tptp.c_RealVector_Oof__real @t160 @t1) @t165)))) % 1.02/1.29 (assume @p594 (forall @t102 (or (tptp.c_lessequals @t160 @t99 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t160 @t6 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p595 (forall @t163 (or @t506 (not @t505)))) % 1.02/1.29 (assume @p596 (forall @t163 (or @t505 (not @t506)))) % 1.02/1.29 (assume @p597 (forall @t102 (or @t508 (not @t507)))) % 1.02/1.29 (assume @p598 (forall @t102 (or @t507 (not @t508)))) % 1.02/1.29 (assume @p599 (forall @t102 (tptp.c_lessequals @t388 @t160 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p600 (forall @t102 (tptp.c_lessequals @t409 @t160 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p601 (forall (@list @t1 @t6 @t64 @t3) (or @t50 (tptp.c_lessequals @t247 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Odist__class_Odist @t3 @t6 @t1) (tptp.c_RealVector_Odist__class_Odist @t3 @t64 @t1) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p602 (forall @t370 (or @t50 (tptp.c_lessequals @t247 (tptp.c_HOL_Oplus__class_Oplus @t510 @t509 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p603 (forall @t120 (or @t50 (tptp.c_lessequals @t510 (tptp.c_HOL_Oplus__class_Oplus @t247 @t509 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p604 (forall @t102 (tptp.c_lessequals @t511 @t410 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p605 (forall @t515 (or @t514 (not @t513) (not @t512)))) % 1.02/1.29 (assume @p606 (forall (@list @t22 @t6) (or @t512 @t516))) % 1.02/1.29 (assume @p607 (= (tptp.c_Complex_ORe (tptp.c_HOL_Oone__class_Oone tptp.tc_Complex_Ocomplex)) @t160)) % 1.02/1.29 (assume @p608 (forall @t269 (= (tptp.c_Complex_ORe (tptp.c_HOL_Oplus__class_Oplus @t6 @t64 tptp.tc_Complex_Ocomplex)) (tptp.c_HOL_Oplus__class_Oplus @t511 (tptp.c_Complex_ORe @t64) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p609 (forall @t269 (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t6 (tptp.c_HOL_Ouminus__class_Ouminus @t64 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t64 @t61 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p610 (tptp.c_lessequals @t21 tptp.v_r tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p611 (forall @t33 (or @t17 (tptp.c_lessequals @t457 @t517 @t1)))) % 1.02/1.29 (assume @p612 (forall @t94 (or @t17 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t463 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs @t461 @t1) (tptp.c_HOL_Oabs__class_Oabs @t460 @t1) @t1) @t1)))) % 1.02/1.29 (assume @p613 (forall @t69 (or @t58 (tptp.c_lessequals @t450 (tptp.c_HOL_Oplus__class_Oplus @t63 @t449 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p614 (forall @t102 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t388 tptp.tc_RealDef_Oreal) @t160 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p615 (forall @t102 (tptp.c_lessequals @t472 @t160 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p616 (forall (@list @t6 @t64 @t519 @t311) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t293 (tptp.c_HOL_Oplus__class_Oplus @t520 @t518 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t6 @t520 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t64 @t518 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p617 (forall @t102 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus @t464 @t160 tptp.tc_RealDef_Oreal) @t6 tptp.tc_RealDef_Oreal)))) % 1.02/1.29 (assume @p618 (forall @t102 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t511 tptp.tc_RealDef_Oreal) @t410 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p619 (forall (@list @t132) (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.hAPP tptp.v_s @t132) tptp.tc_Complex_Ocomplex) tptp.v_r tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p620 (forall @t451 (or @t522 @t521))) % 1.02/1.29 (assume @p621 (forall @t237 (or @t20 @t319 @t322))) % 1.02/1.29 (assume @p622 (forall @t114 (or @t113 (tptp.c_lessequals @t110 @t6 @t1) @t318 @t320))) % 1.02/1.29 (assume @p623 (forall @t120 (or @t119 (tptp.c_lessequals @t6 @t110 @t1) @t321 @t323))) % 1.02/1.29 (assume @p624 (forall (@list @t1 @t3 @t27 @t70 @t34) (or @t90 (tptp.c_lessequals @t3 @t418 @t1) @t378 (not (tptp.c_lessequals @t3 @t358 @t1))))) % 1.02/1.29 (assume @p625 (forall (@list @t420) (tptp.c_lessequals @t420 @t420 tptp.tc_RealDef_Oreal))) % 1.02/1.29 (assume @p626 (forall (@list @t524 @t525 @t523) (or (tptp.c_lessequals @t524 @t525 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t523 @t525 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t524 @t523 tptp.tc_RealDef_Oreal))))) % 1.02/1.29 (assume @p627 (forall @t11 (or @t113 @t328))) % 1.02/1.29 (assume @p628 (forall @t11 (or @t119 @t328))) % 1.02/1.29 (assume @p629 (forall @t33 (or @t17 (= (tptp.c_HOL_Oabs__class_Oabs @t517 @t1) @t517)))) % 1.02/1.29 (assume @p630 (forall @t5 (or @t17 (tptp.c_lessequals @t3 @t15 @t1)))) % 1.02/1.29 (assume @p631 (forall @t33 (or @t336 (= @t176 @t526)))) % 1.02/1.29 (assume @p632 (forall @t69 (or @t105 (= @t426 (tptp.c_HOL_Oplus__class_Oplus @t64 @t6 @t1))))) % 1.02/1.29 (assume @p633 (forall (@list @t1 @t3 @t34) (or @t105 (= @t267 @t362)))) % 1.02/1.29 (assume @p634 (forall @t5 (or @t17 (= (tptp.c_HOL_Oabs__class_Oabs @t15 @t1) @t15)))) % 1.02/1.29 (assume @p635 (forall @t86 (or @t527 (tptp.c_lessequals @t267 @t418 @t1) @t378 @t129))) % 1.02/1.29 (assume @p636 (forall (@list @t1 @t6 @t64 @t110 @t528) (or @t139 (not (= @t431 (tptp.c_HOL_Oplus__class_Oplus @t64 @t528 @t1))) (= @t529 @t528)))) % 1.02/1.29 (assume @p637 (forall @t154 (or @t531 (not (= @t526 @t362)) @t530))) % 1.02/1.29 (assume @p638 (forall @t42 (or @t531 @t532 @t530))) % 1.02/1.29 (assume @p639 (forall @t42 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t532 @t530))) % 1.02/1.29 (assume @p640 (forall @t370 (or @t10 @t9 (not (= @t426 @t529)) @t421))) % 1.02/1.29 (assume @p641 (forall @t94 (or @t105 (= (tptp.c_HOL_Oplus__class_Oplus @t176 @t462 @t1) (tptp.c_HOL_Oplus__class_Oplus @t267 @t418 @t1))))) % 1.02/1.29 (assume @p642 (forall @t79 (or @t93 (= (tptp.c_HOL_Oabs__class_Oabs @t165 @t1) @t165)))) % 1.02/1.29 (assume @p643 (forall @t273 (or @t337 @t533 @t129))) % 1.02/1.29 (assume @p644 (forall @t42 (or @t337 @t128 (not @t533)))) % 1.02/1.29 (assume @p645 (forall @t149 (or @t337 @t534 @t129))) % 1.02/1.29 (assume @p646 (forall @t42 (or @t337 @t128 (not @t534)))) % 1.02/1.29 (assume @p647 (forall @t273 (or @t527 @t533 @t129))) % 1.02/1.29 (assume @p648 (forall @t149 (or @t527 @t534 @t129))) % 1.02/1.29 (assume @p649 (forall (@list @t110 @t6 @t64) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus @t110 @t6 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t110 @t64 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t448))) % 1.02/1.29 (assume @p650 (forall @t69 (or @t113 @t65 @t323 @t320))) % 1.02/1.29 (assume @p651 (forall @t69 (or @t113 @t65 @t320 @t323))) % 1.02/1.29 (assume @p652 (forall (@list @t110 @t420) (or (= @t110 @t420) (not @t522) (not @t521)))) % 1.02/1.29 (assume @p653 (forall @t273 (or @t19 (tptp.c_lessequals @t3 (tptp.c_HOL_Oplus__class_Oplus @t34 @t91 @t1) @t1) (not (tptp.c_lessequals @t176 @t34 @t1))))) % 1.02/1.29 (assume @p654 (forall @t33 (or @t17 @t128 @t503))) % 1.02/1.29 (assume @p655 (forall @t515 (or @t513 @t516))) % 1.02/1.29 (assume @p656 (forall @t42 (or @t336 (= @t535 (tptp.c_HOL_Oplus__class_Oplus @t27 @t267 @t1))))) % 1.02/1.29 (assume @p657 (forall @t42 (or @t336 @t537))) % 1.02/1.29 (assume @p658 (forall @t370 (or @t105 (= @t431 (tptp.c_HOL_Oplus__class_Oplus @t426 @t110 @t1))))) % 1.02/1.29 (assume @p659 (forall @t370 (or @t139 (= @t431 (tptp.c_HOL_Oplus__class_Oplus @t64 @t529 @t1))))) % 1.02/1.29 (assume @p660 (forall @t42 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t537))) % 1.02/1.29 (assume @p661 (forall @t539 (or @t105 (= @t538 (tptp.c_HOL_Oplus__class_Oplus @t267 @t70 @t1))))) % 1.02/1.29 (assume @p662 (forall @t42 (or @t105 (= @t536 (tptp.c_HOL_Oplus__class_Oplus @t267 @t27 @t1))))) % 1.02/1.29 (assume @p663 (forall @t539 (or @t105 (= @t538 (tptp.c_HOL_Oplus__class_Oplus @t34 (tptp.c_HOL_Oplus__class_Oplus @t3 @t70 @t1) @t1))))) % 1.02/1.29 (assume @p664 (forall @t42 (or @t105 @t537))) % 1.02/1.29 (assume @p665 (forall @t33 (or @t17 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t176 @t1) @t517 @t1)))) % 1.02/1.29 (assume @p666 @t542) % 1.02/1.29 (assume @p667 @t544) % 1.02/1.29 (assume @p668 (not @t546)) % 1.02/1.29 (assume @p669 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 1.02/1.29 (assume @p670 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 1.02/1.29 (assume @p671 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 1.02/1.29 (assume @p672 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 1.02/1.29 (assume @p673 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 1.02/1.29 (assume @p674 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 1.02/1.29 (assume @p675 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 1.02/1.29 (assume @p676 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 1.02/1.29 (assume @p677 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 1.02/1.29 (assume @p678 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 1.02/1.29 (assume @p679 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 1.02/1.29 (assume @p680 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.02/1.29 (assume @p681 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.02/1.29 (assume @p682 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 1.02/1.29 (assume @p683 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 1.02/1.29 (assume @p684 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 1.02/1.29 (assume @p685 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 1.02/1.29 (assume @p686 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 1.02/1.29 (assume @p687 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.02/1.29 (assume @p688 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.02/1.29 (assume @p689 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 1.02/1.29 (assume @p690 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.02/1.29 (assume @p691 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 1.02/1.29 (assume @p692 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 1.02/1.29 (assume @p693 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 1.02/1.29 (assume @p694 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 1.02/1.29 (assume @p695 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.02/1.29 (assume @p696 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.02/1.29 (assume @p697 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.02/1.29 (assume @p698 (tptp.class_Power_Opower tptp.tc_nat)) % 1.02/1.29 (assume @p699 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p700 @t547) % 1.02/1.29 (assume @p701 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p702 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p703 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p704 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p705 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p706 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p707 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p708 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p709 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p710 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p711 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p712 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p713 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p714 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p715 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p716 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p717 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p718 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p719 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p720 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p721 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p722 @t548) % 1.02/1.29 (assume @p723 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p724 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p725 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p726 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p727 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p728 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p729 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p730 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p731 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p732 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p733 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p734 @t549) % 1.02/1.29 (assume @p735 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p736 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p737 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p738 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p739 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p740 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p741 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p742 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p743 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p744 (tptp.class_RealVector_Oreal__algebra tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p745 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p746 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p747 (tptp.class_RealVector_Oreal__vector tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p748 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p749 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p750 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p751 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p752 (tptp.class_RealVector_Odist__norm tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p753 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p754 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p755 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p756 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p757 @t550) % 1.02/1.29 (assume @p758 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p759 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.02/1.29 (assume @p760 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p761 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p762 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p763 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p764 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p765 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p766 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p767 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p768 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p769 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p770 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p771 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p772 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p773 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p774 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p775 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p776 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p777 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p778 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p779 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p780 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p781 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p782 (tptp.class_RealVector_Oreal__algebra tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p783 (tptp.class_RealVector_Ometric__space tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p784 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p785 (tptp.class_RealVector_Oreal__vector tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p786 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p787 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p788 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p789 (tptp.class_RealVector_Odist__norm tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p790 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p791 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p792 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (assume @p793 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (step @p794 :rule instantiate :premises (@p622) :args ((@list tptp.tc_RealDef_Oreal @t543 @t545 @t541))) % 1.02/1.29 (step @p795 :rule cnf_or_pos :args (@t555)) % 1.02/1.29 (step @p796 :rule reordering :premises (@p795) :args ((or @t546 @t553 @t554 @t552 (not @t555)))) % 1.02/1.29 (step @p797 :rule chain_m_resolution :premises (@p796 @p668 @p667 @p757 @p794) :args (@t552 (@list true false false false) (@list @t546 @t544 @t550 @t555))) % 1.02/1.29 (step @p798 :rule instantiate :premises (@p569) :args ((@list tptp.tc_RealDef_Oreal))) % 1.02/1.29 (step @p799 :rule cnf_or_pos :args (@t558)) % 1.02/1.29 (step @p800 :rule reordering :premises (@p799) :args ((or @t557 @t556 (not @t558)))) % 1.02/1.29 (step @p801 :rule chain_m_resolution :premises (@p800 @p722 @p798) :args (@t556 (@list false false) (@list @t548 @t558))) % 1.02/1.29 (step @p802 :rule cnf_or_pos :args (@t563)) % 1.02/1.29 (step @p803 :rule reordering :premises (@p802) :args ((or @t560 @t562 @t561 @t559 @t551 @t564))) % 1.02/1.29 (step @p804 :rule chain_m_resolution :premises (@p803 @p666 @p700 @p734 @p801 @p797) :args (@t564 (@list false false false false true) (@list @t542 @t547 @t549 @t556 @t551))) % 1.02/1.29 (assume-push @p811 @t469) % 1.02/1.29 (step @p806 :rule instantiate :premises (@p462) :args ((@list tptp.tc_RealDef_Oreal @t541 tptp.v_r @t160))) % 1.02/1.29 (step-pop @p812 :rule scope :premises (@p806)) % 1.02/1.29 (step @p807 :rule process_scope :premises (@p812) :args (@t563)) % 1.02/1.29 (step @p809 :rule implies_elim :premises (@p807)) % 1.02/1.29 (step @p810 false :rule chain_m_resolution :premises (@p809 @p804 @p462) :args (false (@list true false) (@list @t563 @t469))) % 1.02/1.29 ) % 1.02/1.29 % SZS output end Proof % 1.02/1.29 % cvc5 exiting %------------------------------------------------------------------------------