%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : ALG362-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 16:52:34 EDT 2022 % Result : Unsatisfiable 2.20s 0.76s % Output : CNFRefutation 2.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ALG362-1 : TPTP v8.1.0. Released v4.1.0. % 0.10/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.12/0.33 % Computer : n017.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 : 600 % 0.12/0.33 % DateTime : Wed Jun 8 22:20:03 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.45 # No SInE strategy applied % 0.19/0.45 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y % 0.19/0.45 # and selection function SelectMaxLComplexAvoidPosPred. % 0.19/0.45 # % 0.19/0.45 # Presaturation interreduction done % 0.19/0.45 # Number of axioms: 800 Number of unprocessed: 710 % 0.19/0.45 # Tableaux proof search. % 0.19/0.45 # APR header successfully linked. % 0.19/0.45 # Hello from C++ % 0.19/0.46 # The folding up rule is enabled... % 0.19/0.46 # Local unification is enabled... % 0.19/0.46 # Any saturation attempts will use folding labels... % 0.19/0.46 # 710 beginning clauses after preprocessing and clausification % 0.19/0.46 # Creating start rules for all 1 conjectures. % 0.19/0.46 # There are 1 start rule candidates: % 0.19/0.46 # Found 155 unit axioms. % 0.19/0.46 # 1 start rule tableaux created. % 0.19/0.46 # 555 extension rule candidate clauses % 0.19/0.46 # 155 unit axiom clauses % 0.19/0.46 % 0.19/0.46 # Requested 8, 32 cores available to the main process. % 0.19/0.46 # There are not enough tableaux to fork, creating more from the initial 1 % 0.19/0.46 # Returning from population with 32 new_tableaux and 0 remaining starting tableaux. % 0.19/0.46 # We now have 32 tableaux to operate on % 2.20/0.76 # There were 2 total branch saturation attempts. % 2.20/0.76 # There were 0 of these attempts blocked. % 2.20/0.76 # There were 0 deferred branch saturation attempts. % 2.20/0.76 # There were 0 free duplicated saturations. % 2.20/0.76 # There were 2 total successful branch saturations. % 2.20/0.76 # There were 0 successful branch saturations in interreduction. % 2.20/0.76 # There were 0 successful branch saturations on the branch. % 2.20/0.76 # There were 2 successful branch saturations after the branch. % 2.20/0.76 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 2.20/0.76 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 2.20/0.76 # Begin clausification derivation % 2.20/0.76 % 2.20/0.76 # End clausification derivation % 2.20/0.76 # Begin listing active clauses obtained from FOF to CNF conversion % 2.20/0.76 cnf(i_0_1555, plain, (class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1561, plain, (class_Ring__and__Field_Oidom(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1565, plain, (class_Int_Onumber__ring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1593, plain, (class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1513, plain, (class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1598, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1599, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1557, plain, (class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1563, plain, (class_Orderings_Olinorder(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1514, plain, (class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1511, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1526, plain, (class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1552, plain, (class_RealVector_Ometric__space(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1554, plain, (class_RealVector_Oreal__vector(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1503, plain, (class_Orderings_Olinorder(tc_nat))). % 2.20/0.76 cnf(i_0_1533, plain, (class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1480, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))). % 2.20/0.76 cnf(i_0_1486, plain, (class_Ring__and__Field_Oordered__semiring(tc_nat))). % 2.20/0.76 cnf(i_0_1590, plain, (class_RealVector_Ometric__space(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1592, plain, (class_RealVector_Oreal__vector(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1545, plain, (class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1560, plain, (class_Ring__and__Field_Oring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1519, plain, (class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1543, plain, (class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1539, plain, (class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1577, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1528, plain, (class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1584, plain, (class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1597, plain, (class_Ring__and__Field_Oring(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1580, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1573, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1530, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1564, plain, (class_Orderings_Oorder(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1562, plain, (class_Orderings_Opreorder(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1529, plain, (class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1546, plain, (class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1574, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1518, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1489, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))). % 2.20/0.76 cnf(i_0_1504, plain, (class_Orderings_Oorder(tc_nat))). % 2.20/0.76 cnf(i_0_1502, plain, (class_Orderings_Opreorder(tc_nat))). % 2.20/0.76 cnf(i_0_1488, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))). % 2.20/0.76 cnf(i_0_1531, plain, (class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1537, plain, (class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1515, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1527, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1516, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1585, plain, (class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1520, plain, (class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1575, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1482, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))). % 2.20/0.76 cnf(i_0_1572, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1487, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))). % 2.20/0.76 cnf(i_0_1542, plain, (class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1547, plain, (class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1566, plain, (class_Power_Opower(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1510, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1544, plain, (class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1568, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1548, plain, (class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1583, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1495, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))). % 2.20/0.76 cnf(i_0_1586, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1497, plain, (class_Ring__and__Field_Omult__zero(tc_nat))). % 2.20/0.76 cnf(i_0_1536, plain, (class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1534, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1509, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1508, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1507, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1600, plain, (class_Power_Opower(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1541, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1505, plain, (class_Power_Opower(tc_nat))). % 2.20/0.76 cnf(i_0_1567, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1496, plain, (class_Ring__and__Field_Omult__mono1(tc_nat))). % 2.20/0.76 cnf(i_0_1498, plain, (class_Ring__and__Field_Omult__mono(tc_nat))). % 2.20/0.76 cnf(i_0_1506, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1532, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1521, plain, (class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1558, plain, (class_Ring__and__Field_Ofield(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1523, plain, (class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1578, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1551, plain, (class_RealVector_Oreal__algebra(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1491, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))). % 2.20/0.76 cnf(i_0_1479, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat))). % 2.20/0.76 cnf(i_0_1478, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))). % 2.20/0.76 cnf(i_0_1477, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))). % 2.20/0.76 cnf(i_0_1540, plain, (class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1550, plain, (class_Ring__and__Field_Osemiring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1553, plain, (class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1549, plain, (class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1524, plain, (class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1582, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1525, plain, (class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1494, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))). % 2.20/0.76 cnf(i_0_1476, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))). % 2.20/0.76 cnf(i_0_1576, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1490, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))). % 2.20/0.76 cnf(i_0_1556, plain, (class_Ring__and__Field_Oring__1(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1559, plain, (class_RealVector_Odist__norm(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1538, plain, (class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1512, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1522, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1595, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1517, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1485, plain, (class_Ring__and__Field_Opordered__semiring(tc_nat))). % 2.20/0.76 cnf(i_0_1589, plain, (class_RealVector_Oreal__algebra(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1581, plain, (class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1493, plain, (class_Ring__and__Field_Ocomm__semiring(tc_nat))). % 2.20/0.76 cnf(i_0_1535, plain, (class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1251, plain, (c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1413, plain, (c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1416, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1588, plain, (class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1500, plain, (class_Ring__and__Field_Osemiring(tc_nat))). % 2.20/0.76 cnf(i_0_1591, plain, (class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1501, plain, (class_OrderedGroup_Omonoid__add(tc_nat))). % 2.20/0.76 cnf(i_0_1587, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1499, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))). % 2.20/0.76 cnf(i_0_1571, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1594, plain, (class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1596, plain, (class_RealVector_Odist__norm(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1481, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))). % 2.20/0.76 cnf(i_0_1570, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1484, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))). % 2.20/0.76 cnf(i_0_1569, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1483, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))). % 2.20/0.76 cnf(i_0_1579, plain, (class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex))). % 2.20/0.76 cnf(i_0_1492, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))). % 2.20/0.76 cnf(i_0_1137, plain, (c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1431, plain, (c_lessequals(X1,X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1111, plain, (c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1110, plain, (c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1405, plain, (c_lessequals(c_Transcendental_Osin(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1406, plain, (c_lessequals(c_Transcendental_Ocos(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1334, plain, (c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal))=c_Transcendental_Ocos(X1))). % 2.20/0.76 cnf(i_0_1420, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1421, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1425, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_s,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1282, plain, (c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1122, plain, (c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal))=c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1258, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1410, plain, (c_lessequals(c_Complex_ORe(X1),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1414, plain, (c_HOL_Oplus__class_Oplus(c_Complex_ORe(X1),c_Complex_ORe(X2),tc_RealDef_Oreal)=c_Complex_ORe(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex)))). % 2.20/0.76 cnf(i_0_1424, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1117, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1161, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1236, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_984, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1422, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_862, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_RealDef_Oreal)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1415, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1252, plain, (c_HOL_Oone__class_Oone(tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1475, negated_conjecture, (~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1323, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1423, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1211, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))). % 2.20/0.76 cnf(i_0_1254, plain, (X1=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|c_NthRoot_Osqrt(X1)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1321, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 2.20/0.76 cnf(i_0_1322, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 2.20/0.76 cnf(i_0_1324, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 2.20/0.76 cnf(i_0_902, plain, (c_NthRoot_Osqrt(X1)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1403, plain, (c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1401, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1162, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_NthRoot_Osqrt(X1)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1160, plain, (c_Transcendental_Osin(X1)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Transcendental_Ocos(X1)!=c_HOL_Oone__class_Oone(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_939, plain, (X1=X2|c_NthRoot_Osqrt(X1)!=c_NthRoot_Osqrt(X2))). % 2.20/0.76 cnf(i_0_1304, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1272, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_825, plain, (~class_RealVector_Oreal__normed__vector(X1)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1404, plain, (c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_894, plain, (c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__algebra__1(X1))). % 2.20/0.76 cnf(i_0_1040, plain, (~c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X1,X3))). % 2.20/0.76 cnf(i_0_1033, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 2.20/0.76 cnf(i_0_1399, plain, (c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1)=c_HOL_Oone__class_Oone(X1)|~class_RealVector_Oreal__algebra__1(X1))). % 2.20/0.76 cnf(i_0_1400, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1462, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1287, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1))). % 2.20/0.76 cnf(i_0_1348, plain, (c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1337, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1231, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_900, plain, (~class_RealVector_Oreal__normed__vector(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_813, plain, (~class_RealVector_Ometric__space(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X2,X2,X1),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1275, plain, (c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|c_Transcendental_Osin(X1)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1320, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_973, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_851, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1398, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X1))). % 2.20/0.76 cnf(i_0_916, plain, (~class_RealVector_Ometric__space(X1)|~c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X2,X3,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1433, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))). % 2.20/0.76 cnf(i_0_1434, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))). % 2.20/0.76 cnf(i_0_1352, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))). % 2.20/0.76 cnf(i_0_936, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1412, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1339, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))). % 2.20/0.76 cnf(i_0_1371, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 2.20/0.76 cnf(i_0_1372, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 2.20/0.76 cnf(i_0_1369, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 2.20/0.76 cnf(i_0_1448, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))). % 2.20/0.76 cnf(i_0_806, plain, (c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1232, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1459, plain, (X1=X2|~c_lessequals(X2,X1,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1248, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))). % 2.20/0.76 cnf(i_0_1426, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|c_lessequals(X2,X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1125, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1089, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Ouminus__class_Ouminus(X1,X2)!=X1|~class_OrderedGroup_Oordered__ab__group__add(X2))). % 2.20/0.76 cnf(i_0_975, plain, (X1=X2|c_RealVector_Odist__class_Odist(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))). % 2.20/0.76 cnf(i_0_1319, plain, (c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_974, plain, (c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_852, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_935, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1217, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 2.20/0.76 cnf(i_0_865, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))). % 2.20/0.76 cnf(i_0_864, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))). % 2.20/0.76 cnf(i_0_819, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_RealVector_Onorm__class_Onorm(X1,X2)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_954, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_RealVector_Oof__real(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__algebra__1(X2))). % 2.20/0.76 cnf(i_0_1216, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 2.20/0.76 cnf(i_0_1329, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1237, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1347, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oordered__ab__group__add(X1))). % 2.20/0.76 cnf(i_0_1242, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oabs__class_Oabs(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_896, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Ouminus__class_Ouminus(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_1341, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1208, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))). % 2.20/0.76 cnf(i_0_1240, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1411, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_830, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1139, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_958, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 2.20/0.76 cnf(i_0_1019, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))). % 2.20/0.76 cnf(i_0_1018, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))). % 2.20/0.76 cnf(i_0_985, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_903, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))). % 2.20/0.76 cnf(i_0_952, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))). % 2.20/0.76 cnf(i_0_1301, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)|c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1241, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1238, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1253, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2)=X1|~class_RealVector_Oreal__vector(X2))). % 2.20/0.76 cnf(i_0_890, plain, (c_RealVector_Odist__class_Odist(X1,X1,X2)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X2))). % 2.20/0.76 cnf(i_0_904, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_Lattices_Oboolean__algebra(X3))). % 2.20/0.76 cnf(i_0_820, plain, (X1=X2|c_RealVector_Oof__real(X1,X3)!=c_RealVector_Oof__real(X2,X3)|~class_RealVector_Oreal__algebra__1(X3))). % 2.20/0.76 cnf(i_0_1187, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 2.20/0.76 cnf(i_0_922, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X2))). % 2.20/0.76 cnf(i_0_1102, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_1233, plain, (c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1432, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(X3,X2,tc_RealDef_Oreal)|~c_lessequals(X1,X3,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1330, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1234, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1209, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 2.20/0.76 cnf(i_0_1213, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))). % 2.20/0.76 cnf(i_0_866, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))). % 2.20/0.76 cnf(i_0_1219, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 2.20/0.76 cnf(i_0_987, plain, (X1=X2|~class_RealVector_Ometric__space(X3)|~c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1204, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 2.20/0.76 cnf(i_0_1374, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 2.20/0.76 cnf(i_0_1436, plain, (c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1455, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X2,X3,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_831, plain, (c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1005, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_1200, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))). % 2.20/0.76 cnf(i_0_801, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_875, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))). % 2.20/0.76 cnf(i_0_1188, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))). % 2.20/0.76 cnf(i_0_1198, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Omonoid__add(X2))). % 2.20/0.76 cnf(i_0_1138, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1276, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_972, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1215, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))). % 2.20/0.76 cnf(i_0_824, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2)|~c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_955, plain, (X1=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)!=c_HOL_Oinverse__class_Oinverse(X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Odivision__ring(X3))). % 2.20/0.76 cnf(i_0_1456, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))). % 2.20/0.76 cnf(i_0_1214, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))). % 2.20/0.76 cnf(i_0_1124, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1440, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1256, plain, (c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_1202, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 2.20/0.76 cnf(i_0_1244, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))). % 2.20/0.76 cnf(i_0_1461, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 2.20/0.76 cnf(i_0_1389, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1203, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))). % 2.20/0.76 cnf(i_0_1199, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))). % 2.20/0.76 cnf(i_0_1210, plain, (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1))). % 2.20/0.76 cnf(i_0_822, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1))). % 2.20/0.76 cnf(i_0_1007, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_Lattices_Oboolean__algebra(X2))). % 2.20/0.76 cnf(i_0_840, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))). % 2.20/0.76 cnf(i_0_1444, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))). % 2.20/0.76 cnf(i_0_1445, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X4))). % 2.20/0.76 cnf(i_0_1443, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)!=c_HOL_Oplus__class_Oplus(X2,X3,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))). % 2.20/0.76 cnf(i_0_873, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_951, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))). % 2.20/0.76 cnf(i_0_895, plain, (c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X2))). % 2.20/0.76 cnf(i_0_1073, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1277, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1136, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_857, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__vector(X2))). % 2.20/0.76 cnf(i_0_1338, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 2.20/0.76 cnf(i_0_802, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))). % 2.20/0.76 cnf(i_0_986, plain, (c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_855, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_1381, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))). % 2.20/0.76 cnf(i_0_1245, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1388, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1123, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_829, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1281, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_1367, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 2.20/0.76 cnf(i_0_1165, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 2.20/0.76 cnf(i_0_1169, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Oordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 2.20/0.76 cnf(i_0_1167, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1))). % 2.20/0.76 cnf(i_0_1274, plain, (c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X2))). % 2.20/0.76 cnf(i_0_1201, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))). % 2.20/0.76 cnf(i_0_1382, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_956, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=X3|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oinverse__class_Oinverse(X3,X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1308, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 2.20/0.76 cnf(i_0_1171, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1))). % 2.20/0.76 cnf(i_0_891, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))). % 2.20/0.76 cnf(i_0_1031, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))). % 2.20/0.76 cnf(i_0_1311, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__algebra(X2))). % 2.20/0.76 cnf(i_0_1075, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2)=c_RealVector_Oof__real(X1,X2)|~class_RealVector_Oreal__algebra__1(X2))). % 2.20/0.76 cnf(i_0_978, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1373, plain, (c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))). % 2.20/0.76 cnf(i_0_1038, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 2.20/0.76 cnf(i_0_1317, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))). % 2.20/0.76 cnf(i_0_1315, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2))). % 2.20/0.76 cnf(i_0_856, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__vector(X2))). % 2.20/0.76 cnf(i_0_854, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_1307, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 2.20/0.76 cnf(i_0_1309, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1))). % 2.20/0.76 cnf(i_0_1438, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_1316, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))). % 2.20/0.76 cnf(i_0_1314, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))). % 2.20/0.76 cnf(i_0_1446, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Int_Onumber__ring(X4)|~class_Ring__and__Field_Oidom(X4))). % 2.20/0.76 cnf(i_0_1336, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1332, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1192, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))). % 2.20/0.76 cnf(i_0_1437, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))). % 2.20/0.76 cnf(i_0_1383, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))). % 2.20/0.76 cnf(i_0_1380, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2))). % 2.20/0.76 cnf(i_0_1115, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Ogroup__add(X1))). % 2.20/0.76 cnf(i_0_860, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_889, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1364, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 2.20/0.76 cnf(i_0_1142, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 2.20/0.76 cnf(i_0_827, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_858, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_1387, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1427, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 2.20/0.76 cnf(i_0_859, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))). % 2.20/0.76 cnf(i_0_1350, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oabs__if(X2))). % 2.20/0.76 cnf(i_0_1206, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))). % 2.20/0.76 cnf(i_0_923, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1023, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3))). % 2.20/0.76 cnf(i_0_1021, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))). % 2.20/0.76 cnf(i_0_1191, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))). % 2.20/0.76 cnf(i_0_1197, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)!=X4|~class_OrderedGroup_Oab__group__add(X3))). % 2.20/0.76 cnf(i_0_925, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_1227, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1103, plain, (c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2)=c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)|~class_RealVector_Oreal__algebra__1(X2))). % 2.20/0.76 cnf(i_0_968, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 2.20/0.76 cnf(i_0_927, plain, (X1=X2|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))). % 2.20/0.76 cnf(i_0_1228, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1207, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 2.20/0.76 cnf(i_0_1144, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=c_HOL_Ozero__class_Ozero(X3)|c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_RealVector_Oreal__vector(X3))). % 2.20/0.76 cnf(i_0_1303, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|c_HOL_Oplus__class_Oplus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))). % 2.20/0.76 cnf(i_0_1349, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add__abs(X2)|~class_Orderings_Olinorder(X2))). % 2.20/0.76 cnf(i_0_1173, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_888, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2))). % 2.20/0.76 cnf(i_0_842, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_921, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))). % 2.20/0.76 cnf(i_0_1112, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))). % 2.20/0.76 cnf(i_0_1186, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_1302, plain, (c_HOL_Ouminus__class_Ouminus(X1,X2)=X3|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_1261, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1263, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))). % 2.20/0.76 cnf(i_0_1166, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_832, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_1326, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_981, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))). % 2.20/0.76 cnf(i_0_920, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))). % 2.20/0.76 cnf(i_0_853, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))). % 2.20/0.76 cnf(i_0_1170, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_OrderedGroup_Oordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1168, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 2.20/0.76 cnf(i_0_1172, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)|~class_OrderedGroup_Oordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 2.20/0.76 cnf(i_0_1452, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))). % 2.20/0.76 cnf(i_0_1151, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))). % 2.20/0.76 cnf(i_0_1141, plain, (c_RealVector_Odist__class_Odist(X1,X2,X3)=c_RealVector_Odist__class_Odist(X2,X1,X3)|~class_RealVector_Ometric__space(X3))). % 2.20/0.76 cnf(i_0_880, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_881, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1082, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))). % 2.20/0.76 cnf(i_0_876, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))). % 2.20/0.76 cnf(i_0_1120, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Ogroup__add(X3))). % 2.20/0.76 cnf(i_0_1450, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))). % 2.20/0.76 cnf(i_0_1375, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2))). % 2.20/0.76 cnf(i_0_1376, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1250, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 2.20/0.76 cnf(i_0_1306, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1119, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_Int_Onumber__ring(X3))). % 2.20/0.76 cnf(i_0_878, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))). % 2.20/0.76 cnf(i_0_803, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_804, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_Ring__and__Field_Oabs__if(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1118, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Oab__group__add(X3))). % 2.20/0.76 cnf(i_0_1428, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1429, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_950, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1063, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_964, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_872, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1158, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))). % 2.20/0.76 cnf(i_0_1368, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1072, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))). % 2.20/0.76 cnf(i_0_1002, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Oplus__class_Oplus(X1,X2,X3)|~class_OrderedGroup_Ogroup__add(X3))). % 2.20/0.76 cnf(i_0_1020, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))). % 2.20/0.76 cnf(i_0_1048, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1222, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1))). % 2.20/0.76 cnf(i_0_1174, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)=X3|~class_OrderedGroup_Oab__group__add(X2))). % 2.20/0.76 cnf(i_0_1099, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1249, plain, (c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 2.20/0.76 cnf(i_0_1069, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))). % 2.20/0.76 cnf(i_0_949, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))). % 2.20/0.76 cnf(i_0_948, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))). % 2.20/0.76 cnf(i_0_834, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1074, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_Int_Onumber__ring(X1))). % 2.20/0.76 cnf(i_0_1384, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_lessequals(X1,X3,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1143, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_924, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 2.20/0.76 cnf(i_0_1098, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_836, plain, (c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X2),X3,X2)=c_RealVector_OscaleR__class_OscaleR(X1,X3,X2)|~class_RealVector_Oreal__algebra__1(X2))). % 2.20/0.76 cnf(i_0_1014, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))). % 2.20/0.76 cnf(i_0_1015, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_835, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1017, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))). % 2.20/0.76 cnf(i_0_1009, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Oab__group__add(X3))). % 2.20/0.76 cnf(i_0_1357, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=X3|c_RealVector_OscaleR__class_OscaleR(X1,X2,X4)!=c_RealVector_OscaleR__class_OscaleR(X1,X3,X4)|~class_RealVector_Oreal__vector(X4))). % 2.20/0.76 cnf(i_0_1032, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X3,X1,X2))). % 2.20/0.76 cnf(i_0_1262, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1260, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1097, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))). % 2.20/0.76 cnf(i_0_1280, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1016, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1156, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1291, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1154, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 2.20/0.76 cnf(i_0_1243, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 2.20/0.76 cnf(i_0_1354, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2)|~class_RealVector_Oreal__vector(X2))). % 2.20/0.76 cnf(i_0_1442, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=X4|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3)!=c_HOL_Oplus__class_Oplus(X5,X4,X3)|~class_OrderedGroup_Oab__group__add(X3))). % 2.20/0.76 cnf(i_0_805, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_OrderedGroup_Olordered__ab__group__add__abs(X2)|~class_Orderings_Olinorder(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_901, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_906, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 2.20/0.76 cnf(i_0_815, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_1289, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 2.20/0.76 cnf(i_0_1358, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_RealVector_OscaleR__class_OscaleR(X3,X1,X2)!=c_RealVector_OscaleR__class_OscaleR(X4,X1,X2)|~class_RealVector_Oreal__vector(X2))). % 2.20/0.76 cnf(i_0_960, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))). % 2.20/0.76 cnf(i_0_919, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,X2,X3)|~class_OrderedGroup_Oab__semigroup__idem__mult(X3))). % 2.20/0.76 cnf(i_0_1353, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2))). % 2.20/0.76 cnf(i_0_1049, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3)|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3))). % 2.20/0.76 cnf(i_0_1331, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X1,X2,X3))). % 2.20/0.76 cnf(i_0_1043, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))). % 2.20/0.76 cnf(i_0_1247, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 2.20/0.76 cnf(i_0_1029, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))). % 2.20/0.76 cnf(i_0_979, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1328, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1041, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))). % 2.20/0.76 cnf(i_0_1465, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_910, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))). % 2.20/0.76 cnf(i_0_1344, plain, (X1=X2|c_Power_Opower__class_Opower(X3,X1,X4)!=c_Power_Opower__class_Opower(X3,X2,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X3,X4))). % 2.20/0.76 cnf(i_0_1365, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_826, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 2.20/0.76 cnf(i_0_1090, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1))). % 2.20/0.76 cnf(i_0_1355, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_RealVector_Oreal__vector(X2))). % 2.20/0.76 cnf(i_0_1464, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))). % 2.20/0.76 cnf(i_0_1467, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__add(X3))). % 2.20/0.76 cnf(i_0_1345, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_Ring__and__Field_Oring(X2))). % 2.20/0.76 cnf(i_0_1366, plain, (c_RealVector_Odist__class_Odist(X1,X2,X3)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)|~class_RealVector_Odist__norm(X3))). % 2.20/0.76 cnf(i_0_940, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1152, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))). % 2.20/0.76 cnf(i_0_1229, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__idom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X4),X4),X3,X4))). % 2.20/0.76 cnf(i_0_977, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3))). % 2.20/0.76 cnf(i_0_918, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Ring__and__Field_Oring(X3))). % 2.20/0.76 cnf(i_0_1460, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oabs__class_Oabs(X3,X4),X4),X4)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X4),X2,X4)|~class_OrderedGroup_Olordered__ab__group__add__abs(X4))). % 2.20/0.76 cnf(i_0_1269, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1449, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1453, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1096, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X3,X2)|~class_Ring__and__Field_Oring(X2))). % 2.20/0.76 cnf(i_0_917, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_Ring__and__Field_Oring(X3))). % 2.20/0.76 cnf(i_0_892, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))). % 2.20/0.76 cnf(i_0_1012, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))). % 2.20/0.76 cnf(i_0_1093, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))). % 2.20/0.76 cnf(i_0_1451, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X2,X4,X3))). % 2.20/0.76 cnf(i_0_1454, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X4,X3))). % 2.20/0.76 cnf(i_0_1064, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1))). % 2.20/0.76 cnf(i_0_1159, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1095, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oidom(X2))). % 2.20/0.76 cnf(i_0_1010, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))). % 2.20/0.76 cnf(i_0_885, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))). % 2.20/0.76 cnf(i_0_814, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)|~class_RealVector_Oreal__vector(X3))). % 2.20/0.76 cnf(i_0_871, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1379, plain, (c_HOL_Oplus__class_Oplus(X1,X1,X2)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 2.20/0.76 cnf(i_0_1163, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1164, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_807, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|X1=X2|c_HOL_Otimes__class_Otimes(X1,X1,X3)!=c_HOL_Otimes__class_Otimes(X2,X2,X3)|~class_Ring__and__Field_Oidom(X3))). % 2.20/0.76 cnf(i_0_1091, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_RealVector_Oreal__normed__algebra(X3))). % 2.20/0.76 cnf(i_0_886, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))). % 2.20/0.76 cnf(i_0_1000, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_849, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_887, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3))). % 2.20/0.76 cnf(i_0_1083, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_879, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_882, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1084, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_816, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)|~class_RealVector_Oreal__vector(X3))). % 2.20/0.76 cnf(i_0_1394, plain, (c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X2),c_RealVector_Oof__real(X3,X2),X2)=c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),X2)|~class_RealVector_Oreal__algebra__1(X2))). % 2.20/0.76 cnf(i_0_998, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 2.20/0.76 cnf(i_0_847, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 2.20/0.76 cnf(i_0_1059, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1060, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1066, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)|~class_OrderedGroup_Ogroup__add(X2))). % 2.20/0.76 cnf(i_0_1268, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))). % 2.20/0.76 cnf(i_0_1267, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4))). % 2.20/0.76 cnf(i_0_1435, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_843, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_lessequals(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1318, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 2.20/0.76 cnf(i_0_1335, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))). % 2.20/0.76 cnf(i_0_926, plain, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_HOL_Oord__class_Oless(X1,X3,X2))). % 2.20/0.76 cnf(i_0_809, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))). % 2.20/0.76 cnf(i_0_808, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))). % 2.20/0.76 cnf(i_0_818, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_1264, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1259, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1068, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1067, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1305, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_963, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_811, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))). % 2.20/0.76 cnf(i_0_810, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))). % 2.20/0.76 cnf(i_0_845, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 2.20/0.76 cnf(i_0_844, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 2.20/0.76 cnf(i_0_1294, plain, (c_HOL_Ominus__class_Ominus(c_RealVector_Oof__real(X1,X2),c_RealVector_Oof__real(X3,X2),X2)=c_RealVector_Oof__real(c_HOL_Ominus__class_Ominus(X1,X3,tc_RealDef_Oreal),X2)|~class_RealVector_Oreal__algebra__1(X2))). % 2.20/0.76 cnf(i_0_1071, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 2.20/0.76 cnf(i_0_1070, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 2.20/0.76 cnf(i_0_976, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2))). % 2.20/0.76 cnf(i_0_1441, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1065, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)|~class_OrderedGroup_Oab__group__add(X2))). % 2.20/0.76 cnf(i_0_1246, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 2.20/0.76 cnf(i_0_1300, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_938, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))). % 2.20/0.76 cnf(i_0_1107, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3))). % 2.20/0.76 cnf(i_0_1109, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3))). % 2.20/0.76 cnf(i_0_1001, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_1472, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 2.20/0.76 cnf(i_0_930, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1086, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 2.20/0.76 cnf(i_0_1351, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)|~class_OrderedGroup_Oab__group__add(X2))). % 2.20/0.76 cnf(i_0_1265, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))). % 2.20/0.76 cnf(i_0_1266, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 2.20/0.76 cnf(i_0_1333, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1157, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))). % 2.20/0.76 cnf(i_0_1147, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)|~class_RealVector_Oreal__normed__algebra(X4))). % 2.20/0.76 cnf(i_0_1087, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 2.20/0.76 cnf(i_0_1088, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 2.20/0.76 cnf(i_0_1085, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 2.20/0.76 cnf(i_0_931, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1292, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_1155, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))). % 2.20/0.76 cnf(i_0_1290, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2))). % 2.20/0.76 cnf(i_0_1058, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))). % 2.20/0.76 cnf(i_0_1150, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)|~class_RealVector_Oreal__algebra(X4))). % 2.20/0.76 cnf(i_0_928, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_929, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1221, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 2.20/0.76 cnf(i_0_1470, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))). % 2.20/0.76 cnf(i_0_1133, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 2.20/0.76 cnf(i_0_1079, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_1045, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(X1,X3,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4))). % 2.20/0.76 cnf(i_0_1363, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))). % 2.20/0.76 cnf(i_0_1361, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))). % 2.20/0.76 cnf(i_0_1360, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 2.20/0.76 cnf(i_0_1466, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Oab__group__add(X4))). % 2.20/0.76 cnf(i_0_1463, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))). % 2.20/0.76 cnf(i_0_1469, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_970, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1134, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1362, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 2.20/0.76 cnf(i_0_1076, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__mult(X3))). % 2.20/0.76 cnf(i_0_1145, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),X3,X4)|~class_RealVector_Oreal__normed__algebra(X4))). % 2.20/0.76 cnf(i_0_1149, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),X3,X4)|~class_RealVector_Oreal__algebra(X4))). % 2.20/0.76 cnf(i_0_966, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_1003, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))). % 2.20/0.76 cnf(i_0_969, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1359, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 2.20/0.76 cnf(i_0_1293, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_OrderedGroup_Omonoid__mult(X3))). % 2.20/0.76 cnf(i_0_883, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 2.20/0.76 cnf(i_0_884, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1325, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1047, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))). % 2.20/0.76 cnf(i_0_965, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_971, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1126, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 2.20/0.76 cnf(i_0_1127, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 2.20/0.76 cnf(i_0_1080, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))). % 2.20/0.76 cnf(i_0_1053, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 2.20/0.76 cnf(i_0_1046, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 2.20/0.76 cnf(i_0_863, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1051, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1052, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_1377, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_1128, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 2.20/0.76 cnf(i_0_1129, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 2.20/0.76 cnf(i_0_1285, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)=c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)|~class_RealVector_Oreal__vector(X4))). % 2.20/0.76 cnf(i_0_1378, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_933, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 2.20/0.76 cnf(i_0_932, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 2.20/0.76 cnf(i_0_1395, plain, (c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X4,X2,X3),X3)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X4,tc_RealDef_Oreal),X2,X3)|~class_RealVector_Oreal__vector(X3))). % 2.20/0.76 cnf(i_0_1430, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))). % 2.20/0.76 cnf(i_0_1419, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_1417, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 2.20/0.76 cnf(i_0_1271, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))). % 2.20/0.76 cnf(i_0_1284, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)=c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)|~class_RealVector_Oreal__normed__vector(X4))). % 2.20/0.76 cnf(i_0_1108, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))). % 2.20/0.76 cnf(i_0_1106, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))). % 2.20/0.76 cnf(i_0_947, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)!=c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))). % 2.20/0.76 cnf(i_0_905, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))). % 2.20/0.76 cnf(i_0_1397, plain, (c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X4,X2,X3),X3)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X4,tc_RealDef_Oreal),X2,X3)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_1270, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1175, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_839, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1239, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_1180, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_989, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))). % 2.20/0.76 cnf(i_0_993, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))). % 2.20/0.76 cnf(i_0_1195, plain, (c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X4,X3),X3)=c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_RealVector_Oreal__vector(X3))). % 2.20/0.76 cnf(i_0_1220, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_1390, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_Ring__and__Field_Olordered__ring(X3))). % 2.20/0.76 cnf(i_0_1386, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1407, plain, (c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X4,X1,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))). % 2.20/0.76 cnf(i_0_1077, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_1196, plain, (c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X4,X3),X3)=c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_848, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 2.20/0.76 cnf(i_0_990, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_994, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 2.20/0.76 cnf(i_0_1185, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_1409, plain, (c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X4,X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))). % 2.20/0.76 cnf(i_0_1408, plain, (c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X1,X4,X3),c_RealVector_Odist__class_Odist(X2,X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))). % 2.20/0.76 cnf(i_0_1062, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 2.20/0.76 cnf(i_0_1061, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 2.20/0.76 cnf(i_0_1223, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 2.20/0.76 cnf(i_0_846, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 2.20/0.76 cnf(i_0_946, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3))). % 2.20/0.76 cnf(i_0_945, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X2,X3))). % 2.20/0.76 cnf(i_0_912, plain, (c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X4,X2,X3),X3)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),X2,X3)|~class_RealVector_Oreal__vector(X3))). % 2.20/0.76 cnf(i_0_944, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_942, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono1(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))). % 2.20/0.76 cnf(i_0_943, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))). % 2.20/0.76 cnf(i_0_1235, plain, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X3),X5,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X3),X4,tc_RealDef_Oreal))). % 2.20/0.76 cnf(i_0_1225, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 2.20/0.76 cnf(i_0_991, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_995, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 2.20/0.76 cnf(i_0_988, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 2.20/0.76 cnf(i_0_1230, plain, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3))). % 2.20/0.76 cnf(i_0_911, plain, (c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X4,X2,X3),X3)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),X2,X3)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_1283, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_838, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))). % 2.20/0.76 cnf(i_0_1391, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 2.20/0.76 cnf(i_0_1224, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))). % 2.20/0.76 cnf(i_0_1183, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))). % 2.20/0.76 cnf(i_0_914, plain, (c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X4,X3),X3)=c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)|~class_RealVector_Oreal__vector(X3))). % 2.20/0.76 cnf(i_0_913, plain, (c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X4,X3),X3)=c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_961, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_962, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))). % 2.20/0.76 cnf(i_0_1181, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_RealVector_Oreal__normed__algebra(X3))). % 2.20/0.76 cnf(i_0_1179, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring(X3))). % 2.20/0.76 cnf(i_0_1226, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 2.20/0.76 cnf(i_0_1288, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X2,X1),c_Power_Opower__class_Opower(X3,X2,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)|~class_Ring__and__Field_Oring__1(X1))). % 2.20/0.76 cnf(i_0_867, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))). % 2.20/0.76 cnf(i_0_869, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_RealVector_Oreal__normed__algebra(X3))). % 2.20/0.76 cnf(i_0_1176, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)|~class_Int_Onumber__ring(X5)|~class_Ring__and__Field_Oidom(X5))). % 2.20/0.76 cnf(i_0_982, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))). % 2.20/0.76 cnf(i_0_1447, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_941, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3))). % 2.20/0.76 cnf(i_0_1194, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X5,X3),X3)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))). % 2.20/0.76 cnf(i_0_983, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))). % 2.20/0.76 cnf(i_0_897, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 2.20/0.76 cnf(i_0_823, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_953, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1342, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))). % 2.20/0.76 cnf(i_0_1050, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 2.20/0.76 cnf(i_0_1100, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1101, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1055, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)|~class_Ring__and__Field_Opordered__ring(X4)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4))). % 2.20/0.76 cnf(i_0_1057, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3))). % 2.20/0.76 cnf(i_0_1189, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))). % 2.20/0.76 cnf(i_0_1193, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)|~class_Ring__and__Field_Osemiring(X3))). % 2.20/0.76 cnf(i_0_1343, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 2.20/0.76 cnf(i_0_1105, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3),c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 2.20/0.76 cnf(i_0_1298, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)|~class_Ring__and__Field_Opordered__ring(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4))). % 2.20/0.76 cnf(i_0_1296, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3))). % 2.20/0.76 cnf(i_0_1273, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)|~class_Ring__and__Field_Oring(X3))). % 2.20/0.76 cnf(i_0_828, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Otimes__class_Otimes(X4,X5,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X2),X5,X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X4,X2))). % 2.20/0.76 cnf(i_0_1054, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3))). % 2.20/0.76 cnf(i_0_1056, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3))). % 2.20/0.76 cnf(i_0_1279, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)|~class_Ring__and__Field_Oring(X4))). % 2.20/0.76 cnf(i_0_1299, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3))). % 2.20/0.76 cnf(i_0_1297, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3))). % 2.20/0.76 cnf(i_0_1114, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1418, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 2.20/0.76 cnf(i_0_1113, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))). % 2.20/0.76 cnf(i_0_1257, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))). % 2.20/0.76 cnf(i_0_1356, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1116, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 2.20/0.76 cnf(i_0_1135, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X4,X5),X5),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X4,X5),X5),c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ominus__class_Ominus(X3,X4,X5),X5),X5)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X5),c_RealVector_OscaleR__class_OscaleR(X2,X4,X5),X5)|~class_RealVector_Oreal__normed__vector(X5))). % 2.20/0.76 cnf(i_0_850, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X4,X5,X3),X3),X3)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))). % 2.20/0.76 cnf(i_0_812, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))). % 2.20/0.76 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 2.20/0.76 # Begin printing tableau % 2.20/0.76 # Found 7 steps % 2.20/0.76 cnf(i_0_1475, negated_conjecture, (~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(start_rule)). % 2.20/0.76 cnf(i_0_1601, plain, (~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(extension_rule, [i_0_1267])). % 2.20/0.76 cnf(i_0_2584, plain, (~class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal)), inference(closure_rule, [i_0_1541])). % 2.20/0.76 cnf(i_0_2585, plain, (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)), inference(closure_rule, [i_0_1507])). % 2.20/0.76 cnf(i_0_2586, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(extension_rule, [i_0_1403])). % 2.20/0.76 cnf(i_0_2587, plain, (~c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(hAPP(v_s,v_n____)),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)), inference(etableau_closure_rule, [i_0_2587, ...])). % 2.20/0.76 cnf(i_0_3233, plain, (~c_lessequals(c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(etableau_closure_rule, [i_0_3233, ...])). % 2.20/0.76 # End printing tableau % 2.20/0.76 # SZS output end % 2.20/0.76 # Branches closed with saturation will be marked with an "s" % 2.20/0.77 # Child (12189) has found a proof. % 2.20/0.77 % 2.20/0.77 # Proof search is over... % 2.20/0.77 # Freeing feature tree %------------------------------------------------------------------------------