TSTP Solution File: ALG373-1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n012.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 : Mon Mar 25 13:59:29 EDT 2024
% Result : Unsatisfiable 3.58s 3.74s
% Output : Proof 3.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Mar 21 03:03:00 EDT 2024
% 0.12/0.33 % CPUTime :
% 3.58/3.74 % SZS status Unsatisfiable for theBenchmark
% 3.58/3.74 % SZS output start Proof for theBenchmark
% 3.58/3.74
% 3.58/3.74 % Problem matrix:
% 3.58/3.74 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 3.58/3.74 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 3.58/3.74 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 3.58/3.74 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Ozero__class_Ozero(__eqx_0) = c_HOL_Ozero__class_Ozero(__eqy_0)) )).
% 3.58/3.74 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1(__eqx_0, __eqx_1, __eqx_2) = c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 3.58/3.74 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1(__eqx_0, __eqx_1, __eqx_2) = c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 3.58/3.74 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Int_Onumber__class_Onumber__of(__eqx_0, __eqx_1) = c_Int_Onumber__class_Onumber__of(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_Oabs__class_Oabs(__eqx_0, __eqx_1) = c_HOL_Oabs__class_Oabs(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Oof__real(__eqx_0, __eqx_1) = c_RealVector_Oof__real(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Onorm__class_Onorm(__eqx_0, __eqx_1) = c_RealVector_Onorm__class_Onorm(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_HOL_Otimes__class_Otimes(__eqx_0, __eqx_1, __eqx_2) = c_HOL_Otimes__class_Otimes(__eqy_0, __eqy_1, __eqy_2)) )).
% 3.58/3.74 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_RealVector_OscaleR__class_OscaleR(__eqx_0, __eqx_1, __eqx_2) = c_RealVector_OscaleR__class_OscaleR(__eqy_0, __eqy_1, __eqy_2)) )).
% 3.58/3.74 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_RealVector_Osko__RealVector__XscaleR__right__Xbounded__1__1(__eqx_0, __eqx_1, __eqx_2) = c_RealVector_Osko__RealVector__XscaleR__right__Xbounded__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 3.58/3.74 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1(__eqx_0, __eqx_1) = c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_Ouminus__class_Ouminus(__eqx_0, __eqx_1) = c_HOL_Ouminus__class_Ouminus(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_Complex_ORe(__eqx_0) = c_Complex_ORe(__eqy_0)) )).
% 3.58/3.74 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(__eqx_0, __eqx_1) = v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Polynomial_Opoly(__eqx_0) = tc_Polynomial_Opoly(__eqy_0)) )).
% 3.58/3.74 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Polynomial_Opoly(__eqx_0, __eqx_1, __eqx_2) = c_Polynomial_Opoly(__eqy_0, __eqy_1, __eqy_2)) )).
% 3.58/3.74 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__unknown__thm__rW8__1(__eqx_0, __eqx_1) = v_sko__unknown__thm__rW8__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__local__Xmth1__2(__eqx_0, __eqx_1) = v_sko__local__Xmth1__2(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__local__Xmth1__1(__eqx_0, __eqx_1) = v_sko__local__Xmth1__1(__eqy_0, __eqy_1)) )).
% 3.58/3.74 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oone__class_Oone(__eqx_0) = c_HOL_Oone__class_Oone(__eqy_0)) )).
% 3.58/3.74 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( v_xa(__eqx_0) = v_xa(__eqy_0)) )).
% 3.58/3.74 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( v_x(__eqx_0) = v_x(__eqy_0)) )).
% 3.58/3.74 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra(__eqx_0) | class_RealVector_Oreal__normed__algebra(__eqy_0) )).
% 3.58/3.74 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_HOL_Oord__class_Oless(__eqx_0, __eqx_1, __eqx_2) | c_HOL_Oord__class_Oless(__eqy_0, __eqy_1, __eqy_2) )).
% 3.58/3.74 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__vector(__eqx_0) | class_RealVector_Oreal__normed__vector(__eqy_0) )).
% 3.58/3.74 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_lessequals(__eqx_0, __eqx_1, __eqx_2) | c_lessequals(__eqy_0, __eqy_1, __eqy_2) )).
% 3.58/3.74 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 3.58/3.74 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 3.58/3.74 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 3.58/3.74 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 3.58/3.74 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__idom(__eqx_0) | class_Ring__and__Field_Oordered__idom(__eqy_0) )).
% 3.58/3.74 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__algebra__1(__eqx_0) | class_RealVector_Oreal__algebra__1(__eqy_0) )).
% 3.58/3.74 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ono__zero__divisors(__eqx_0) | class_Ring__and__Field_Ono__zero__divisors(__eqy_0) )).
% 3.58/3.74 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oring__no__zero__divisors(__eqx_0) | class_Ring__and__Field_Oring__no__zero__divisors(__eqy_0) )).
% 3.58/3.74 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__ring__strict(__eqx_0) | class_Ring__and__Field_Oordered__ring__strict(__eqy_0) )).
% 3.58/3.74 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__semiring__strict(__eqx_0) | class_Ring__and__Field_Oordered__semiring__strict(__eqy_0) )).
% 3.58/3.74 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ocomm__semiring__1(__eqx_0) | class_Ring__and__Field_Ocomm__semiring__1(__eqy_0) )).
% 3.58/3.74 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__group__add__abs(__eqx_0) | class_OrderedGroup_Opordered__ab__group__add__abs(__eqy_0) )).
% 3.58/3.74 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__ring__abs(__eqx_0) | class_Ring__and__Field_Opordered__ring__abs(__eqy_0) )).
% 3.58/3.74 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Olordered__ring(__eqx_0) | class_Ring__and__Field_Olordered__ring(__eqy_0) )).
% 3.58/3.74 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__vector(__eqx_0) | class_RealVector_Oreal__vector(__eqy_0) )).
% 3.58/3.74 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__comm__semiring__strict(__eqx_0) | class_Ring__and__Field_Oordered__comm__semiring__strict(__eqy_0) )).
% 3.58/3.74 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__semiring(__eqx_0) | class_Ring__and__Field_Oordered__semiring(__eqy_0) )).
% 3.58/3.74 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oabs__if(__eqx_0) | class_Ring__and__Field_Oabs__if(__eqy_0) )).
% 3.58/3.74 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__add__abs(__eqx_0) | class_OrderedGroup_Olordered__ab__group__add__abs(__eqy_0) )).
% 3.58/3.74 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oordered__ab__group__add(__eqx_0) | class_OrderedGroup_Oordered__ab__group__add(__eqy_0) )).
% 3.58/3.74 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ogroup__add(__eqx_0) | class_OrderedGroup_Ogroup__add(__eqy_0) )).
% 3.58/3.74 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oring(__eqx_0) | class_Ring__and__Field_Oring(__eqy_0) )).
% 3.58/3.74 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oidom(__eqx_0) | class_Ring__and__Field_Oidom(__eqy_0) )).
% 3.58/3.74 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__group__add(__eqx_0) | class_OrderedGroup_Opordered__ab__group__add(__eqy_0) )).
% 3.58/3.74 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__add(__eqx_0) | class_OrderedGroup_Olordered__ab__group__add(__eqy_0) )).
% 3.58/3.74 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__semigroup__idem__mult(__eqx_0) | class_OrderedGroup_Oab__semigroup__idem__mult(__eqy_0) )).
% 3.58/3.74 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Omult__mono1(__eqx_0) | class_Ring__and__Field_Omult__mono1(__eqy_0) )).
% 3.58/3.74 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Omult__mono(__eqx_0) | class_Ring__and__Field_Omult__mono(__eqy_0) )).
% 3.58/3.74 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__ring(__eqx_0) | class_Ring__and__Field_Opordered__ring(__eqy_0) )).
% 3.58/3.74 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__cancel__semiring(__eqx_0) | class_Ring__and__Field_Opordered__cancel__semiring(__eqy_0) )).
% 3.58/3.74 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__semigroup__mult(__eqx_0) | class_OrderedGroup_Oab__semigroup__mult(__eqy_0) )).
% 3.58/3.74 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__semiring(__eqx_0) | class_Ring__and__Field_Opordered__semiring(__eqy_0) )).
% 3.58/3.74 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__algebra(__eqx_0) | class_RealVector_Oreal__algebra(__eqy_0) )).
% 3.58/3.74 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra__1(__eqx_0) | class_RealVector_Oreal__normed__algebra__1(__eqy_0) )).
% 3.58/3.74 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__div__algebra(__eqx_0) | class_RealVector_Oreal__normed__div__algebra(__eqy_0) )).
% 3.58/3.74 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Omult__zero(__eqx_0) | class_Ring__and__Field_Omult__zero(__eqy_0) )).
% 3.58/3.74 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ocomm__ring(__eqx_0) | class_Ring__and__Field_Ocomm__ring(__eqy_0) )).
% 3.58/3.74 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 3.58/3.74 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 3.58/3.74 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 3.58/3.74 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ocomm__semiring__0(__eqx_0) | class_Ring__and__Field_Ocomm__semiring__0(__eqy_0) )).
% 3.58/3.74 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__group__add(__eqx_0) | class_OrderedGroup_Oab__group__add(__eqy_0) )).
% 3.58/3.74 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ocomm__ring__1(__eqx_0) | class_Ring__and__Field_Ocomm__ring__1(__eqy_0) )).
% 3.58/3.74 cnf(matrix-80, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(V_x, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-81, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(V_y, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-82, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1(V_vskULt, V_r, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-83, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(V_vskULn, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-84, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1(V_y, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-85, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1(V_x, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-86, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1(V_vskULp, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-87, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1(V_vskULu, V_r, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-88, plain, ( ~class_Orderings_Olinorder(T_a) | ~class_Int_Onumber(T_a) | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v, T_a), c_Int_Onumber__class_Onumber__of(V_w, T_a), T_a) | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w, T_a), c_Int_Onumber__class_Onumber__of(V_v, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-89, plain, ( ~class_Orderings_Olinorder(T_a) | ~class_Int_Onumber(T_a) | ~c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w, T_a), c_Int_Onumber__class_Onumber__of(V_v, T_a), T_a) | ~c_lessequals(c_Int_Onumber__class_Onumber__of(V_v, T_a), c_Int_Onumber__class_Onumber__of(V_w, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-90, plain, ( ~class_Int_Oring__char__0(T_a) | ~class_Int_Onumber__ring(T_a) | ( c_Int_Onumber__class_Onumber__of(V_x, T_a) != c_Int_Onumber__class_Onumber__of(V_y, T_a)) | ( V_x = V_y) )).
% 3.58/3.74 cnf(matrix-91, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | ~class_Int_Onumber__ring(T_a) | ( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x, T_a), T_a) = c_Int_Onumber__class_Onumber__of(V_x, T_a)) | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-92, plain, ( ~class_RealVector_Oreal__algebra__1(T_a) | ( c_RealVector_Oof__real(V_x, T_a) != c_RealVector_Oof__real(V_y, T_a)) | ( V_x = V_y) )).
% 3.58/3.74 cnf(matrix-93, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_Onorm__class_Onorm(V_x, T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-94, plain, ( ~class_Ring__and__Field_Ono__zero__divisors(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, V_b, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) | ( V_b = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-95, plain, ( ~class_Ring__and__Field_Ono__zero__divisors(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, V_b, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_b = c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-96, plain, ( ~class_Ring__and__Field_Oring__no__zero__divisors(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, V_b, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_b = c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-97, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_x, V_y, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_y, tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_x, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-98, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-99, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-100, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-101, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_b, V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-102, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ~class_RealVector_Oreal__algebra__1(T_a) | ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-103, plain, ( ~class_RealVector_Oreal__algebra__1(T_a) | ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-104, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_ly, T_a), c_HOL_Otimes__class_Otimes(V_rx, V_ry, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_rx, T_a), c_HOL_Otimes__class_Otimes(V_ly, V_ry, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-105, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_ly, T_a), c_HOL_Otimes__class_Otimes(V_rx, V_ry, T_a), T_a) = c_HOL_Otimes__class_Otimes(V_lx, c_HOL_Otimes__class_Otimes(V_ly, c_HOL_Otimes__class_Otimes(V_rx, V_ry, T_a), T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-106, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_ly, T_a), c_HOL_Otimes__class_Otimes(V_rx, V_ry, T_a), T_a) = c_HOL_Otimes__class_Otimes(V_rx, c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_ly, T_a), V_ry, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-107, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) | ~c_lessequals(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-108, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) = V_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-109, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Oabs__class_Oabs(V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-110, plain, ( ~class_Ring__and__Field_Opordered__ring__abs(T_a) | ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Oabs__class_Oabs(V_b, T_a), T_a)) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-111, plain, ( ~class_Ring__and__Field_Opordered__ring__abs(T_a) | ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Oabs__class_Oabs(V_b, T_a), T_a)) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-112, plain, ( ~class_Ring__and__Field_Opordered__ring__abs(T_a) | ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Oabs__class_Oabs(V_b, T_a), T_a)) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-113, plain, ( ~class_Ring__and__Field_Opordered__ring__abs(T_a) | ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Oabs__class_Oabs(V_b, T_a), T_a)) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-114, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_r, V_K, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1(V_vskULu, V_r, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-115, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_r, V_K, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1(V_vskULt, V_r, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-116, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_r, V_K, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__XscaleR__right__Xbounded__1__1(V_vskULm, V_r, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-117, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K, V_y, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(V_y, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-118, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x, V_K, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1(V_x, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-119, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a), c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a, T_a), c_RealVector_Onorm__class_Onorm(V_b, T_a), tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1(V_vskULp, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-120, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x, V_K, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1(V_x, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-121, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K, V_y, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1(V_y, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-122, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a), c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a, T_a), c_RealVector_Onorm__class_Onorm(V_b, T_a), tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(V_vskULn, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-123, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x, V_K, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(V_x, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-124, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_K, V_y, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_K, T_a), c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1(V_y, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-125, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a), c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_a, T_a), c_RealVector_Onorm__class_Onorm(V_b, T_a), tc_RealDef_Oreal), c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1(V_vskULj, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-126, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | ~class_Int_Onumber__ring(T_a) | ( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x, T_a), T_a) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(V_x, T_a), T_a)) | ~c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-127, plain, ( ~class_Ring__and__Field_Olordered__ring(T_a) | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a), c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Oabs__class_Oabs(V_b, T_a), T_a), T_a) )).
% 3.58/3.74 cnf(matrix-128, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Oabs__class_Oabs(V_b, T_a), T_a), c_HOL_Otimes__class_Otimes(V_c, V_d, T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b, T_a), V_d, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a, T_a), V_c, T_a) )).
% 3.58/3.74 cnf(matrix-129, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(V_x, V_y, T_a) = c_HOL_Otimes__class_Otimes(V_y, V_x, T_a)) )).
% 3.58/3.74 cnf(matrix-130, plain, ( ( c_HOL_Otimes__class_Otimes(V_z, V_w, tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w, V_z, tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-131, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, V_b, T_a) = c_HOL_Otimes__class_Otimes(V_b, V_a, T_a)) )).
% 3.58/3.74 cnf(matrix-132, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-133, plain, ( ~class_RealVector_Oreal__algebra__1(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_r, V_x, T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_r, T_a), V_x, T_a)) )).
% 3.58/3.74 cnf(matrix-134, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, c_RealVector_OscaleR__class_OscaleR(V_b, V_x, T_a), T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(V_a, V_b, tc_RealDef_Oreal), V_x, T_a)) )).
% 3.58/3.74 cnf(matrix-135, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-136, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_b, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-137, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-138, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_x, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-139, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) = V_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-140, plain, ( ~class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-141, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ~c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-142, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) )).
% 3.58/3.74 cnf(matrix-143, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-144, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) )).
% 3.58/3.74 cnf(matrix-145, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ~c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-146, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) )).
% 3.58/3.74 cnf(matrix-147, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-148, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) )).
% 3.58/3.74 cnf(matrix-149, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) )).
% 3.58/3.74 cnf(matrix-150, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) )).
% 3.58/3.74 cnf(matrix-151, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ~c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-152, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-153, plain, ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z, V_x, tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_z, V_y, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(V_x, V_y, tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_z, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-154, plain, ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x, V_z, tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_y, V_z, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(V_x, V_y, tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_z, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-155, plain, ( c_HOL_Oord__class_Oless(V_x, V_y, tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x, V_z, tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_y, V_z, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_z, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-156, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a, T_a), V_b, T_a) )).
% 3.58/3.74 cnf(matrix-157, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-158, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-159, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_d, T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(V_c, V_d, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-160, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_d, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_HOL_Oord__class_Oless(V_c, V_d, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-161, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_d, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_HOL_Oord__class_Oless(V_c, V_d, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-162, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-163, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-164, plain, ( ~class_Ring__and__Field_Oordered__semiring(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-165, plain, ( ~class_Ring__and__Field_Oordered__semiring(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-166, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_d, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(V_c, V_d, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-167, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_lessequals(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-168, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_lessequals(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-169, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_lessequals(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) )).
% 3.58/3.74 cnf(matrix-170, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(V_a, V_b, T_a) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) )).
% 3.58/3.74 cnf(matrix-171, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_lessequals(V_b, V_a, T_a) | ~c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-172, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(V_b, V_a, T_a) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-173, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(V_a, c_HOL_Oabs__class_Oabs(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-174, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(V_a, V_b, T_a) | ~c_lessequals(c_HOL_Oabs__class_Oabs(V_a, T_a), V_b, T_a) )).
% 3.58/3.74 cnf(matrix-175, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) = c_HOL_Ouminus__class_Ouminus(V_a, T_a)) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-176, plain, ( ~class_Ring__and__Field_Oabs__if(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) = c_HOL_Ouminus__class_Ouminus(V_a, T_a)) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-177, plain, ( ~class_Orderings_Olinorder(T_a) | ~class_OrderedGroup_Olordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) = c_HOL_Ouminus__class_Ouminus(V_a, T_a)) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-178, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a, T_a), T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-179, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) = c_HOL_Ouminus__class_Ouminus(V_a, T_a)) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-180, plain, ( ~class_OrderedGroup_Oordered__ab__group__add(T_a) | ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-181, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-182, plain, ( ~class_Ring__and__Field_Oring(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) = c_HOL_Otimes__class_Otimes(V_a, c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-183, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-184, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) = c_HOL_Oabs__class_Oabs(V_a, T_a)) )).
% 3.58/3.74 cnf(matrix-185, plain, ( ~class_Ring__and__Field_Oring(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a, T_a), c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(V_a, V_b, T_a)) )).
% 3.58/3.74 cnf(matrix-186, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b, T_a), c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(V_b, V_b, T_a)) )).
% 3.58/3.74 cnf(matrix-187, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(V_xa, c_HOL_Ouminus__class_Ouminus(V_x, T_a), T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa, V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-188, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-189, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x, T_a), V_y, T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-190, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-191, plain, ( ~class_OrderedGroup_Oordered__ab__group__add(T_a) | ( c_HOL_Ouminus__class_Ouminus(V_a, T_a) != V_a) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-192, plain, ( ~class_Ring__and__Field_Oring(T_a) | ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(V_a, c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-193, plain, ( ~class_Ring__and__Field_Oring(T_a) | ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a)) )).
% 3.58/3.74 cnf(matrix-194, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ouminus__class_Ouminus(V_a, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-195, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, V_a, T_a) != c_HOL_Otimes__class_Otimes(V_b, V_b, T_a)) | ( V_a = c_HOL_Ouminus__class_Ouminus(V_b, T_a)) | ( V_a = V_b) )).
% 3.58/3.74 cnf(matrix-196, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, c_HOL_Ouminus__class_Ouminus(V_x, T_a), T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a, V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-197, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a, V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-198, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a, T_a)) | ( c_HOL_Ozero__class_Ozero(T_a) = V_a) )).
% 3.58/3.74 cnf(matrix-199, plain, ( c_lessequals(V_x, V_r, tc_RealDef_Oreal) | ~c_lessequals(c_HOL_Oabs__class_Oabs(V_x, tc_RealDef_Oreal), V_r, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-200, plain, ( c_lessequals(c_HOL_Otimes__class_Otimes(V_z, V_x, tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_z, V_y, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_lessequals(V_x, V_y, tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_z, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-201, plain, ( c_lessequals(V_x, V_y, tc_RealDef_Oreal) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_z, V_x, tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_z, V_y, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_z, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-202, plain, ( c_lessequals(c_HOL_Otimes__class_Otimes(V_x, V_z, tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_y, V_z, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_lessequals(V_x, V_y, tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_z, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-203, plain, ( c_lessequals(V_x, V_y, tc_RealDef_Oreal) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_x, V_z, tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_y, V_z, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_z, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-204, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), T_a), c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x, T_a), c_RealVector_Onorm__class_Onorm(V_y, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-205, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a), T_a), c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-206, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) | ~c_lessequals(c_RealVector_Onorm__class_Onorm(V_x, T_a), c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-207, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), T_a), c_HOL_Otimes__class_Otimes(V_r, V_s, tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y, T_a), V_s, tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x, T_a), V_r, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-208, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(V_x, T_a), tc_RealDef_Oreal) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-209, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a), T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-210, plain, ( ( c_HOL_Oabs__class_Oabs(V_r, tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(V_r, tc_RealDef_Oreal)) | ~c_HOL_Oord__class_Oless(V_r, c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-211, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a, T_a), tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a, T_a)) )).
% 3.58/3.74 cnf(matrix-212, plain, ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x), tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(V_x, tc_Complex_Ocomplex), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-213, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(V_a, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-214, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-215, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-216, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-217, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a, T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-218, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a, T_a), V_b, T_a) )).
% 3.58/3.74 cnf(matrix-219, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-220, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-221, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), c_HOL_Oabs__class_Oabs(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-222, plain, ( ~class_OrderedGroup_Oordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-223, plain, ( ~class_OrderedGroup_Oordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-224, plain, ( ~class_OrderedGroup_Oordered__ab__group__add(T_a) | c_lessequals(V_a, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-225, plain, ( ~class_OrderedGroup_Oordered__ab__group__add(T_a) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-226, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-227, plain, ( ~class_OrderedGroup_Oab__semigroup__idem__mult(T_a) | ( c_HOL_Otimes__class_Otimes(V_x, c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), T_a) = c_HOL_Otimes__class_Otimes(V_x, V_y, T_a)) )).
% 3.58/3.74 cnf(matrix-228, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-229, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-230, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-231, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-232, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-233, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-234, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b, V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-235, plain, ( ~class_Ring__and__Field_Omult__mono1(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-236, plain, ( ~class_Ring__and__Field_Omult__mono(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-237, plain, ( ~class_Ring__and__Field_Omult__mono(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-238, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) | ~c_lessequals(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_b, V_a, T_a) )).
% 3.58/3.74 cnf(matrix-239, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) | ~c_lessequals(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_b, V_a, T_a) )).
% 3.58/3.74 cnf(matrix-240, plain, ( ~class_OrderedGroup_Oab__semigroup__idem__mult(T_a) | ( c_HOL_Otimes__class_Otimes(V_x, V_x, T_a) = V_x) )).
% 3.58/3.74 cnf(matrix-241, plain, ( ~class_RealVector_Oreal__algebra__1(T_a) | ( c_RealVector_Oof__real(V_x, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-242, plain, ( ~class_RealVector_Oreal__algebra__1(T_a) | ( c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(V_x, V_y, tc_RealDef_Oreal), T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(V_x, T_a), c_RealVector_Oof__real(V_y, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-243, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-244, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-245, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-246, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-247, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-248, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-249, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-250, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), V_c, T_a) = c_HOL_Otimes__class_Otimes(V_a, c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-251, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_ly, T_a), V_rx, T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_rx, T_a), V_ly, T_a)) )).
% 3.58/3.74 cnf(matrix-252, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_ly, T_a), V_rx, T_a) = c_HOL_Otimes__class_Otimes(V_lx, c_HOL_Otimes__class_Otimes(V_ly, V_rx, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-253, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(V_lx, c_HOL_Otimes__class_Otimes(V_rx, V_ry, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx, V_rx, T_a), V_ry, T_a)) )).
% 3.58/3.74 cnf(matrix-254, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(V_lx, c_HOL_Otimes__class_Otimes(V_rx, V_ry, T_a), T_a) = c_HOL_Otimes__class_Otimes(V_rx, c_HOL_Otimes__class_Otimes(V_lx, V_ry, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-255, plain, ( ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1, V_z2, tc_RealDef_Oreal), V_z3, tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1, c_HOL_Otimes__class_Otimes(V_z2, V_z3, tc_RealDef_Oreal), tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-256, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(V_x, c_HOL_Otimes__class_Otimes(V_y, V_z, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), V_z, T_a)) )).
% 3.58/3.74 cnf(matrix-257, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-258, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-259, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-260, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-261, plain, ( ~class_Ring__and__Field_Opordered__semiring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_d, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(V_c, V_d, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-262, plain, ( ~class_Ring__and__Field_Opordered__semiring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_d, T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(V_c, V_d, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-263, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-264, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-265, plain, ( ( c_HOL_Otimes__class_Otimes(V_x, V_x, tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y, V_y, tc_RealDef_Oreal), tc_RealDef_Oreal)) | ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-266, plain, ( ( c_HOL_Otimes__class_Otimes(V_x, V_x, tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y, V_y, tc_RealDef_Oreal), tc_RealDef_Oreal)) | ( V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-267, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p, V_r), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-268, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-269, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-270, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-271, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-272, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-273, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-274, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-275, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | c_lessequals(c_HOL_Otimes__class_Otimes(V_b, V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-276, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a), T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-277, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, V_x, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-278, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r, V_a, T_a), V_b, T_a) = c_RealVector_OscaleR__class_OscaleR(V_r, c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-279, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r, V_x, T_a), V_y, T_a) = c_RealVector_OscaleR__class_OscaleR(V_r, c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-280, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, c_RealVector_OscaleR__class_OscaleR(V_r, V_b, T_a), T_a) = c_RealVector_OscaleR__class_OscaleR(V_r, c_HOL_Otimes__class_Otimes(V_a, V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-281, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(V_xa, c_RealVector_OscaleR__class_OscaleR(V_r, V_x, T_a), T_a) = c_RealVector_OscaleR__class_OscaleR(V_r, c_HOL_Otimes__class_Otimes(V_xa, V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-282, plain, ( ~class_RealVector_Oreal__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a, V_x, T_a), V_y, T_a) = c_RealVector_OscaleR__class_OscaleR(V_a, c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-283, plain, ( ~class_RealVector_Oreal__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(V_x, c_RealVector_OscaleR__class_OscaleR(V_a, V_y, T_a), T_a) = c_RealVector_OscaleR__class_OscaleR(V_a, c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-284, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_a, V_x, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(V_x, T_a), tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-285, plain, ( ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_lessequals(c_HOL_Oabs__class_Oabs(V_x, tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_c, c_HOL_Oabs__class_Oabs(V_y, tc_RealDef_Oreal), tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_lessequals(V_c, c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-286, plain, ( ~class_RealVector_Oreal__normed__algebra__1(T_a) | ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(V_r, T_a), T_a) = c_HOL_Oabs__class_Oabs(V_r, tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-287, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a, T_a), T_a) = c_HOL_Oabs__class_Oabs(V_a, T_a)) )).
% 3.58/3.74 cnf(matrix-288, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oabs__class_Oabs(V_a, T_a), T_a) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-289, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, c_RealVector_OscaleR__class_OscaleR(V_r, V_b, T_a), T_a) = c_RealVector_OscaleR__class_OscaleR(V_r, c_RealVector_OscaleR__class_OscaleR(V_a, V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-290, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, c_RealVector_OscaleR__class_OscaleR(V_b, V_x, T_a), T_a) = c_RealVector_OscaleR__class_OscaleR(V_b, c_RealVector_OscaleR__class_OscaleR(V_a, V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-291, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_ra, c_RealVector_OscaleR__class_OscaleR(V_r, V_x, T_a), T_a) = c_RealVector_OscaleR__class_OscaleR(V_r, c_RealVector_OscaleR__class_OscaleR(V_ra, V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-292, plain, ( ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-293, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-294, plain, ( ~class_RealVector_Oreal__normed__div__algebra(T_a) | ( c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x, V_y, T_a), T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x, T_a), c_RealVector_Onorm__class_Onorm(V_y, T_a), tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-295, plain, ( ( c_HOL_Otimes__class_Otimes(V_c, V_a, tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c, V_b, tc_RealDef_Oreal)) | ( V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( V_a = V_b) )).
% 3.58/3.74 cnf(matrix-296, plain, ( ( c_HOL_Otimes__class_Otimes(V_a, V_c, tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b, V_c, tc_RealDef_Oreal)) | ( V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( V_a = V_b) )).
% 3.58/3.74 cnf(matrix-297, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Oabs__class_Oabs(V_a, T_a), T_a) = c_HOL_Otimes__class_Otimes(V_a, V_a, T_a)) )).
% 3.58/3.74 cnf(matrix-298, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-299, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-300, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a), V_y, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-301, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-302, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-303, plain, ( ~class_RealVector_Oreal__normed__algebra(T_a) | ( c_HOL_Otimes__class_Otimes(V_x, c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-304, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a), V_x, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-305, plain, ( ~class_Ring__and__Field_Omult__zero(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-306, plain, ( ~class_Ring__and__Field_Omult__zero(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-307, plain, ( ~class_Ring__and__Field_Oring__no__zero__divisors(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-308, plain, ( ~class_Ring__and__Field_Oring__no__zero__divisors(T_a) | ( c_HOL_Otimes__class_Otimes(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-309, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y, T_a), V_x, T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y, V_x, T_a), T_a)) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_x, T_a) )).
% 3.58/3.74 cnf(matrix-310, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-311, plain, ( ( c_HOL_Oabs__class_Oabs(V_r, tc_RealDef_Oreal) = V_r) | c_HOL_Oord__class_Oless(V_r, c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-312, plain, ( ~class_Orderings_Olinorder(T_a) | ~class_OrderedGroup_Olordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) = V_a) | c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-313, plain, ( ~class_Ring__and__Field_Oabs__if(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) = V_a) | c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-314, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ( c_HOL_Oabs__class_Oabs(V_a, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 3.58/3.74 cnf(matrix-315, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a), T_a), T_a) )).
% 3.58/3.74 cnf(matrix-316, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_x, T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), V_y, T_a)) )).
% 3.58/3.74 cnf(matrix-317, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = c_RealVector_OscaleR__class_OscaleR(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-318, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) | ~c_lessequals(c_RealVector_Onorm__class_Onorm(V_x, T_a), c_HOL_Otimes__class_Otimes(V_c, c_RealVector_Onorm__class_Onorm(V_y, T_a), tc_RealDef_Oreal), tc_RealDef_Oreal) | ~c_lessequals(V_c, c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-319, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, V_x, T_a) != c_RealVector_OscaleR__class_OscaleR(V_a, V_y, T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( V_x = V_y) )).
% 3.58/3.74 cnf(matrix-320, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(V_a, V_x, T_a) != c_RealVector_OscaleR__class_OscaleR(V_b, V_x, T_a)) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = V_b) )).
% 3.58/3.74 cnf(matrix-321, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-322, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c, V_a, T_a), c_HOL_Otimes__class_Otimes(V_c, V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-323, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-324, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | c_HOL_Oord__class_Oless(V_c, c_HOL_Ozero__class_Ozero(T_a), T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a, V_c, T_a), c_HOL_Otimes__class_Otimes(V_b, V_c, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-325, plain, ( ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_x, V_x, tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-326, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oabs__class_Oabs(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-327, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-328, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(V_a, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-329, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-330, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-331, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-332, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(c_HOL_Oabs__class_Oabs(V_a, T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-333, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(c_HOL_Oabs__class_Oabs(V_a, T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-334, plain, ( ~class_OrderedGroup_Opordered__ab__group__add__abs(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) | ~c_lessequals(c_HOL_Oabs__class_Oabs(V_a, T_a), V_b, T_a) )).
% 3.58/3.74 cnf(matrix-335, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-336, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 3.58/3.74 cnf(matrix-337, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(V_x, T_a), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-338, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x, T_a), c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-339, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ~class_RealVector_Oreal__algebra__1(T_a) | ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x, tc_RealDef_Oreal), T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-340, plain, ( ~class_RealVector_Oreal__algebra__1(T_a) | ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(V_x, tc_RealDef_Oreal), T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-341, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a, tc_RealDef_Oreal), V_x, T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a, V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-342, plain, ( ~class_RealVector_Oreal__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_x, tc_RealDef_Oreal), V_xa, T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_x, V_xa, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-343, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a, tc_RealDef_Oreal), V_b, T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a, V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-344, plain, ( c_lessequals(c_HOL_Oabs__class_Oabs(V_x, tc_RealDef_Oreal), V_r, tc_RealDef_Oreal) | ~c_lessequals(V_x, V_r, tc_RealDef_Oreal) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r, tc_RealDef_Oreal), V_x, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-345, plain, ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r, tc_RealDef_Oreal), V_x, tc_RealDef_Oreal) | ~c_lessequals(c_HOL_Oabs__class_Oabs(V_x, tc_RealDef_Oreal), V_r, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-346, plain, ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u, V_u, tc_RealDef_Oreal), tc_RealDef_Oreal), c_HOL_Otimes__class_Otimes(V_x, V_x, tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-347, plain, ( c_lessequals(c_Complex_ORe(V_x), c_RealVector_Onorm__class_Onorm(V_x, tc_Complex_Ocomplex), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-348, plain, ( ~class_Ring__and__Field_Ocomm__ring(T_a) | ( c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(V_p, tc_Polynomial_Opoly(T_a)), V_x, T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(V_p, V_x, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-349, plain, ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), v_r, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-350, plain, ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p, v_sko__unknown__thm__rW8__1(v_p, v_r), tc_Complex_Ocomplex), tc_Complex_Ocomplex), c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p, V_w, tc_Complex_Ocomplex), tc_Complex_Ocomplex), tc_RealDef_Oreal) | ~c_lessequals(c_RealVector_Onorm__class_Onorm(V_w, tc_Complex_Ocomplex), v_r, tc_RealDef_Oreal) | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal), v_r, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-351, plain, ( ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p, v_sko__local__Xmth1__2(v_p, v_r), tc_Complex_Ocomplex), tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xmth1__1(v_p, v_r), tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-352, plain, ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p, V_z, tc_Complex_Ocomplex), tc_Complex_Ocomplex), v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p, V_r), tc_RealDef_Oreal) | ~c_lessequals(c_RealVector_Onorm__class_Onorm(V_z, tc_Complex_Ocomplex), V_r, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-353, plain, ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xmth1__2(v_p, v_r), tc_Complex_Ocomplex), v_r, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-354, plain, ( ~class_Orderings_Oorder(T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) )).
% 3.58/3.74 cnf(matrix-355, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-356, plain, ( c_lessequals(V_w, V_z, tc_RealDef_Oreal) | c_lessequals(V_z, V_w, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-357, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_x, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-358, plain, ( ~class_Orderings_Opreorder(T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-359, plain, ( ~class_Orderings_Opreorder(T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-360, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_z, V_x, T_a) | ~c_lessequals(V_z, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-361, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_x, T_a) | ~c_lessequals(V_z, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-362, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_z, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-363, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-364, plain, ( ~class_Orderings_Opreorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-365, plain, ( ~class_Orderings_Opreorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-366, plain, ( c_lessequals(V_w, V_w, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-367, plain, ( c_lessequals(V_i, V_k, tc_RealDef_Oreal) | ~c_lessequals(V_j, V_k, tc_RealDef_Oreal) | ~c_lessequals(V_i, V_j, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-368, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-369, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-370, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-371, plain, ( c_lessequals(V_x, V_y, tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(V_x, V_y, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-372, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-373, plain, ( ~class_Orderings_Opreorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-374, plain, ( ~class_Orderings_Opreorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-375, plain, ( ~c_HOL_Oord__class_Oless(V_x, V_x, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-376, plain, ( ~class_Orderings_Oorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-377, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-378, plain, ( ~class_RealVector_Oreal__normed__vector(T_a) | ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x, T_a), T_a) = c_RealVector_Onorm__class_Onorm(V_x, T_a)) )).
% 3.58/3.74 cnf(matrix-379, plain, ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x, tc_Complex_Ocomplex), tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(V_x, tc_Complex_Ocomplex), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-380, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ( V_a = V_b) | ~c_lessequals(V_b, V_a, T_a) )).
% 3.58/3.74 cnf(matrix-381, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ~c_lessequals(V_b, V_a, T_a) | ( V_a = V_b) )).
% 3.58/3.74 cnf(matrix-382, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-383, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-384, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_lessequals(V_a, V_b, T_a) | ( V_a = V_b) )).
% 3.58/3.74 cnf(matrix-385, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ( V_a = V_b) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-386, plain, ( c_HOL_Oord__class_Oless(V_x, V_y, tc_RealDef_Oreal) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-387, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-388, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-389, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ( V_x = V_y) )).
% 3.58/3.74 cnf(matrix-390, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-391, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-392, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-393, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-394, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-395, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ( V_x = V_y) )).
% 3.58/3.74 cnf(matrix-396, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-397, plain, ( ( V_z = V_w) | ~c_lessequals(V_w, V_z, tc_RealDef_Oreal) | ~c_lessequals(V_z, V_w, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-398, plain, ( ~class_Lattices_Oboolean__algebra(T_a) | ( c_HOL_Ouminus__class_Ouminus(V_x, T_a) != c_HOL_Ouminus__class_Ouminus(V_y, T_a)) | ( V_x = V_y) )).
% 3.58/3.74 cnf(matrix-399, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ouminus__class_Ouminus(V_a, T_a) != c_HOL_Ouminus__class_Ouminus(V_b, T_a)) | ( V_a = V_b) )).
% 3.58/3.74 cnf(matrix-400, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b, T_a), c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-401, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b, T_a), c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-402, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(V_a, V_b, T_a) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b, T_a), c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-403, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b, T_a), c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 3.58/3.74 cnf(matrix-404, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_z, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-405, plain, ( ~class_Orderings_Opreorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-406, plain, ( ~class_Orderings_Opreorder(T_a) | ~c_lessequals(V_y, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-407, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | c_lessequals(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-408, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_lessequals(V_x, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-409, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_x, T_a) | c_lessequals(V_x, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-410, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-411, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_x, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-412, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 3.58/3.74 cnf(matrix-413, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_lessequals(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 3.58/3.74 cnf(matrix-414, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) = V_b) )).
% 3.58/3.74 cnf(matrix-415, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-416, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a)) )).
% 3.58/3.74 cnf(matrix-417, plain, ( ~class_Lattices_Oboolean__algebra(T_a) | ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x, T_a), T_a) = V_x) )).
% 3.58/3.74 cnf(matrix-418, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) = V_a) )).
% 3.58/3.74 cnf(matrix-419, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b, T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-420, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b, T_a), V_a, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) )).
% 3.58/3.74 cnf(matrix-421, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(V_a, c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-422, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(V_b, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-423, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b, T_a), V_a, T_a) )).
% 3.58/3.74 cnf(matrix-424, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b, T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a, T_a), V_b, T_a) )).
% 3.58/3.74 cnf(matrix-425, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(V_a, c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-426, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(V_b, c_HOL_Ouminus__class_Ouminus(V_a, T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ouminus__class_Ouminus(V_b, T_a), T_a) )).
% 3.58/3.74 cnf(matrix-427, plain, ( ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p, V_z, tc_Complex_Ocomplex), tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(V_x, tc_RealDef_Oreal)) | ~c_lessequals(c_RealVector_Onorm__class_Onorm(V_z, tc_Complex_Ocomplex), v_r, tc_RealDef_Oreal) | c_HOL_Oord__class_Oless(V_x, c_HOL_Oone__class_Oone(tc_RealDef_Oreal), tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-428, plain, ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(V_xb), tc_Complex_Ocomplex), v_r, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-429, plain, ( ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p, v_xa(V_xb), tc_Complex_Ocomplex), tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_x(V_xb), tc_RealDef_Oreal)) )).
% 3.58/3.74 cnf(matrix-430, plain, ( ~c_HOL_Oord__class_Oless(v_x(V_xb), V_xb, tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-431, plain, ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__semiring__0(T_1) )).
% 3.58/3.74 cnf(matrix-432, plain, ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1)) | ~class_OrderedGroup_Oab__group__add(T_1) )).
% 3.58/3.74 cnf(matrix-433, plain, ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__ring__1(T_1) )).
% 3.58/3.74 cnf(matrix-434, plain, ( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-435, plain, ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-436, plain, ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-437, plain, ( class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-438, plain, ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-439, plain, ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-440, plain, ( class_Ring__and__Field_Ocomm__semiring__0(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-441, plain, ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-442, plain, ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-443, plain, ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-444, plain, ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-445, plain, ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-446, plain, ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-447, plain, ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-448, plain, ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-449, plain, ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-450, plain, ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-451, plain, ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-452, plain, ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-453, plain, ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-454, plain, ( class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-455, plain, ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-456, plain, ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-457, plain, ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-458, plain, ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-459, plain, ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-460, plain, ( class_Ring__and__Field_Olordered__ring(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-461, plain, ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-462, plain, ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-463, plain, ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-464, plain, ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-465, plain, ( class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-466, plain, ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-467, plain, ( class_Ring__and__Field_Oabs__if(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-468, plain, ( class_Ring__and__Field_Oring(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-469, plain, ( class_Ring__and__Field_Oidom(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-470, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-471, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-472, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-473, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-474, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-475, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 3.58/3.74 cnf(matrix-476, plain, ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-477, plain, ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-478, plain, ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-479, plain, ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-480, plain, ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-481, plain, ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-482, plain, ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-483, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-484, plain, ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-485, plain, ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-486, plain, ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-487, plain, ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-488, plain, ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-489, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-490, plain, ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-491, plain, ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-492, plain, ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-493, plain, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-494, plain, ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-495, plain, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-496, plain, ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-497, plain, ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-498, plain, ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-499, plain, ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-500, plain, ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-501, plain, ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-502, plain, ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-503, plain, ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-504, plain, ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-505, plain, ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-506, plain, ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-507, plain, ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-508, plain, ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-509, plain, ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-510, plain, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-511, plain, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-512, plain, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-513, plain, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-514, plain, ( class_Int_Onumber__ring(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-515, plain, ( class_Int_Onumber(tc_RealDef_Oreal) )).
% 3.58/3.74 cnf(matrix-516, plain, ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-517, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-518, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-519, plain, ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-520, plain, ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-521, plain, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-522, plain, ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-523, plain, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-524, plain, ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-525, plain, ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-526, plain, ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-527, plain, ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-528, plain, ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-529, plain, ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-530, plain, ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-531, plain, ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-532, plain, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-533, plain, ( class_Int_Onumber__ring(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-534, plain, ( class_Int_Onumber(tc_Complex_Ocomplex) )).
% 3.58/3.74 cnf(matrix-535, plain, ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-536, plain, ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-537, plain, ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-538, plain, ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-539, plain, ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oidom(T_1) )).
% 3.58/3.74 cnf(matrix-540, plain, ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-541, plain, ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-542, plain, ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-543, plain, ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-544, plain, ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-545, plain, ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-546, plain, ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oidom(T_1) )).
% 3.58/3.74 cnf(matrix-547, plain, ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__semiring__1(T_1) )).
% 3.58/3.74 cnf(matrix-548, plain, ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__semiring__0(T_1) )).
% 3.58/3.74 cnf(matrix-549, plain, ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-550, plain, ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-551, plain, ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-552, plain, ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__semiring__0(T_1) )).
% 3.58/3.74 cnf(matrix-553, plain, ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-554, plain, ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__ring(T_1) )).
% 3.58/3.74 cnf(matrix-555, plain, ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1)) | ~class_OrderedGroup_Oab__group__add(T_1) )).
% 3.58/3.74 cnf(matrix-556, plain, ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-557, plain, ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__ring(T_1) )).
% 3.58/3.74 cnf(matrix-558, plain, ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oidom(T_1) )).
% 3.58/3.74 cnf(matrix-559, plain, ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-560, plain, ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-561, plain, ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-562, plain, ( class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Oordered__idom(T_1) )).
% 3.58/3.74 cnf(matrix-563, plain, ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__ring__1(T_1) )).
% 3.58/3.74 cnf(matrix-564, plain, ( class_Int_Onumber(tc_Polynomial_Opoly(T_1)) | ~class_Ring__and__Field_Ocomm__ring__1(T_1) )).
% 3.58/3.74
% 3.58/3.74 % Proof stack:
% 3.58/3.74 cnf(proof-stack, plain,
% 3.58/3.74 proof_stack(
% 3.58/3.74 start(430),
% 3.58/3.74 left_branch(0, 427, 2, 2),
% 3.58/3.74 left_branch(0, 429, 0, 3),
% 3.58/3.74 right_branch(3),
% 3.58/3.74 left_branch(0, 428, 0, 4),
% 3.58/3.74 right_branch(4),
% 3.58/3.74 right_branch(2)
% 3.58/3.74 )).
% 3.58/3.74 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------