TSTP Solution File: SWW178+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWW178+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : n026.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 21 00:12:04 EDT 2022
% Result : Theorem 94.13s 12.64s
% Output : CNFRefutation 94.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWW178+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 4 15:28:14 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.43/0.60 # No SInE strategy applied
% 0.43/0.60 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.43/0.60 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.43/0.60 #
% 0.43/0.60 # Presaturation interreduction done
% 0.43/0.60 # Number of axioms: 1545 Number of unprocessed: 1255
% 0.43/0.60 # Tableaux proof search.
% 0.43/0.60 # APR header successfully linked.
% 0.43/0.60 # Hello from C++
% 0.46/0.62 # The folding up rule is enabled...
% 0.46/0.62 # Local unification is enabled...
% 0.46/0.62 # Any saturation attempts will use folding labels...
% 0.46/0.62 # 1255 beginning clauses after preprocessing and clausification
% 0.46/0.62 # Creating start rules for all 1 conjectures.
% 0.46/0.62 # There are 1 start rule candidates:
% 0.46/0.62 # Found 377 unit axioms.
% 0.46/0.62 # 1 start rule tableaux created.
% 0.46/0.62 # 878 extension rule candidate clauses
% 0.46/0.62 # 377 unit axiom clauses
% 0.46/0.62
% 0.46/0.62 # Requested 8, 32 cores available to the main process.
% 0.46/0.62 # There are not enough tableaux to fork, creating more from the initial 1
% 0.46/0.62 # Returning from population with 33 new_tableaux and 0 remaining starting tableaux.
% 0.46/0.62 # We now have 33 tableaux to operate on
% 94.13/12.64 # There were 6 total branch saturation attempts.
% 94.13/12.64 # There were 0 of these attempts blocked.
% 94.13/12.64 # There were 0 deferred branch saturation attempts.
% 94.13/12.64 # There were 0 free duplicated saturations.
% 94.13/12.64 # There were 1 total successful branch saturations.
% 94.13/12.64 # There were 0 successful branch saturations in interreduction.
% 94.13/12.64 # There were 0 successful branch saturations on the branch.
% 94.13/12.64 # There were 1 successful branch saturations after the branch.
% 94.13/12.64 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 94.13/12.64 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 94.13/12.64 # Begin clausification derivation
% 94.13/12.64
% 94.13/12.64 # End clausification derivation
% 94.13/12.64 # Begin listing active clauses obtained from FOF to CNF conversion
% 94.13/12.64 cnf(i_0_1509, plain, (class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1562, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1536, plain, (class_Orderings_Opreorder(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1495, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1474, plain, (class_Orderings_Opreorder(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1501, plain, (class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1542, plain, (class_Groups_Ogroup__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1582, plain, (class_Groups_Ogroup__add(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1533, plain, (class_Groups_Oab__group__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1576, plain, (class_Groups_Oab__group__add(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1514, plain, (class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1432, plain, (class_Orderings_Opreorder(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1537, plain, (class_Orderings_Olinorder(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1546, plain, (class_Orderings_Oord(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1544, plain, (class_Orderings_Oorder(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1515, plain, (class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1564, plain, (class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1506, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1488, plain, (class_Orderings_Opreorder(tc_HOL_Obool))).
% 94.13/12.64 cnf(i_0_1560, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1454, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1399, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1457, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1403, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1522, plain, (class_Groups_Oab__semigroup__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1569, plain, (class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1539, plain, (class_Rings_Ocomm__ring__1(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1579, plain, (class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1547, plain, (class_Groups_Ouminus(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1438, plain, (class_Groups_Ogroup__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1585, plain, (class_Groups_Ouminus(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1429, plain, (class_Groups_Oab__group__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1414, plain, (class_Groups_Oordered__ab__group__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1475, plain, (class_Orderings_Olinorder(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1433, plain, (class_Orderings_Olinorder(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1550, plain, (class_Groups_Ominus(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1587, plain, (class_Groups_Ominus(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1530, plain, (class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1573, plain, (class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1502, plain, (class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1482, plain, (class_Orderings_Oord(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1504, plain, (class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1442, plain, (class_Orderings_Oord(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1490, plain, (class_Orderings_Oord(tc_HOL_Obool))).
% 94.13/12.64 cnf(i_0_1480, plain, (class_Orderings_Oorder(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1440, plain, (class_Orderings_Oorder(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1505, plain, (class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1526, plain, (class_RealVector_Oreal__vector(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1571, plain, (class_RealVector_Oreal__vector(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1520, plain, (class_RealVector_Ometric__space(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1567, plain, (class_RealVector_Ometric__space(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1489, plain, (class_Orderings_Oorder(tc_HOL_Obool))).
% 94.13/12.64 cnf(i_0_1552, plain, (class_Groups_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1462, plain, (class_Groups_Ocancel__semigroup__add(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1415, plain, (class_Groups_Ocancel__semigroup__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1459, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1407, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1589, plain, (class_Groups_Ozero(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1548, plain, (class_Groups_Oabs__if(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1494, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1527, plain, (class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1572, plain, (class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1467, plain, (class_Groups_Oab__semigroup__add(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1540, plain, (class_Groups_Omonoid__add(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1420, plain, (class_Groups_Oab__semigroup__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1435, plain, (class_Rings_Ocomm__ring__1(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1487, plain, (class_Lattices_Oboolean__algebra(tc_HOL_Obool))).
% 94.13/12.64 cnf(i_0_1443, plain, (class_Groups_Ouminus(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1580, plain, (class_Groups_Omonoid__add(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1493, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1556, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1531, plain, (class_RealVector_Odist__norm(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1574, plain, (class_RealVector_Odist__norm(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1491, plain, (class_Groups_Ouminus(tc_HOL_Obool))).
% 94.13/12.64 cnf(i_0_1529, plain, (class_Rings_Olinordered__idom(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1483, plain, (class_Groups_Ominus(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1446, plain, (class_Groups_Ominus(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1492, plain, (class_Groups_Ominus(tc_HOL_Obool))).
% 94.13/12.64 cnf(i_0_1471, plain, (class_Rings_Ocomm__semiring__1(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1517, plain, (class_Rings_Olinordered__semidom(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1503, plain, (class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1559, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1518, plain, (class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1565, plain, (class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1427, plain, (class_Rings_Ocomm__semiring__1(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1498, plain, (class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1404, plain, (class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1458, plain, (class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1405, plain, (class_Groups_Oordered__comm__monoid__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1406, plain, (class_Groups_Olinordered__ab__group__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1557, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1525, plain, (class_Rings_Ono__zero__divisors(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1570, plain, (class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1511, plain, (class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1563, plain, (class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1485, plain, (class_Groups_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1543, plain, (class_Rings_Omult__zero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1448, plain, (class_Groups_Ozero(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1444, plain, (class_Groups_Oabs__if(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1453, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1398, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1583, plain, (class_Rings_Omult__zero(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1532, plain, (class_Rings_Ocomm__semiring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1575, plain, (class_Rings_Ocomm__semiring(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1545, plain, (class_Rings_Osemiring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1584, plain, (class_Rings_Osemiring(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1470, plain, (class_Groups_Ocomm__monoid__add(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1553, plain, (class_Rings_Oring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1424, plain, (class_Groups_Ocomm__monoid__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1477, plain, (class_Groups_Omonoid__add(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1436, plain, (class_Groups_Omonoid__add(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1452, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1590, plain, (class_Rings_Oring(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1554, plain, (class_Rings_Oidom(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1591, plain, (class_Rings_Oidom(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1519, plain, (class_RealVector_Oreal__algebra(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1566, plain, (class_RealVector_Oreal__algebra(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1397, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1528, plain, (class_Rings_Olinordered__ring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1426, plain, (class_Rings_Olinordered__idom(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1464, plain, (class_Rings_Olinordered__semidom(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1417, plain, (class_Rings_Olinordered__semidom(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1465, plain, (class_Groups_Oab__semigroup__mult(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1510, plain, (class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1508, plain, (class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1535, plain, (class_Rings_Oordered__ring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1523, plain, (class_Rings_Oordered__semiring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1512, plain, (class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1418, plain, (class_Groups_Oab__semigroup__mult(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1499, plain, (class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1469, plain, (class_Rings_Ono__zero__divisors(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1423, plain, (class_Rings_Ono__zero__divisors(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1411, plain, (class_Rings_Oring__no__zero__divisors(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1479, plain, (class_Rings_Omult__zero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1496, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1516, plain, (class_Rings_Olinordered__semiring(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1524, plain, (class_Rings_Oordered__ring__abs(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1521, plain, (class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1568, plain, (class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1439, plain, (class_Rings_Omult__zero(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1538, plain, (class_Groups_Omonoid__mult(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1472, plain, (class_Rings_Ocomm__semiring(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1428, plain, (class_Rings_Ocomm__semiring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1481, plain, (class_Rings_Osemiring(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1441, plain, (class_Rings_Osemiring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1578, plain, (class_Groups_Omonoid__mult(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1500, plain, (class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1558, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1555, plain, (class_Groups_Oone(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1592, plain, (class_Groups_Oone(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1449, plain, (class_Rings_Oring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1534, plain, (class_Rings_Ozero__neq__one(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1450, plain, (class_Rings_Oidom(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1425, plain, (class_Rings_Olinordered__ring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1410, plain, (class_Rings_Olinordered__ring__strict(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1460, plain, (class_Rings_Oordered__cancel__semiring(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1577, plain, (class_Rings_Ozero__neq__one(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1507, plain, (class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1561, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1549, plain, (class_Rings_Oring__1(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1586, plain, (class_Rings_Oring__1(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1409, plain, (class_Rings_Oordered__cancel__semiring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1513, plain, (class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1431, plain, (class_Rings_Oordered__ring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1468, plain, (class_Rings_Oordered__semiring(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1421, plain, (class_Rings_Oordered__semiring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1461, plain, (class_Rings_Oordered__comm__semiring(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1497, plain, (class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1551, plain, (class_Power_Opower(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1588, plain, (class_Power_Opower(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1541, plain, (class_Rings_Osemiring__0(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1581, plain, (class_Rings_Osemiring__0(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1412, plain, (class_Rings_Oordered__comm__semiring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1456, plain, (class_Rings_Olinordered__semiring__strict(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1402, plain, (class_Rings_Olinordered__semiring__strict(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1455, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1400, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1463, plain, (class_Rings_Olinordered__semiring(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1416, plain, (class_Rings_Olinordered__semiring(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1422, plain, (class_Rings_Oordered__ring__abs(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1466, plain, (class_Groups_Ocomm__monoid__mult(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1419, plain, (class_Groups_Ocomm__monoid__mult(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1476, plain, (class_Groups_Omonoid__mult(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1434, plain, (class_Groups_Omonoid__mult(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1486, plain, (class_Groups_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1451, plain, (class_Groups_Oone(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1473, plain, (class_Rings_Ozero__neq__one(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1430, plain, (class_Rings_Ozero__neq__one(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1408, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1445, plain, (class_Rings_Oring__1(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1413, plain, (class_Rings_Olinordered__semiring__1(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1401, plain, (class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1484, plain, (class_Power_Opower(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1447, plain, (class_Power_Opower(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1478, plain, (class_Rings_Osemiring__0(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1437, plain, (class_Rings_Osemiring__0(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1046, plain, (c_Complex_ORe(c_Complex_Oii)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_15, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1))).
% 94.13/12.64 cnf(i_0_674, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk10_0))).
% 94.13/12.64 cnf(i_0_840, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk15_0))).
% 94.13/12.64 cnf(i_0_1047, plain, (c_Complex_OIm(c_Complex_Oii)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_147, plain, (c_Complex_OIm(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1019, plain, (c_Complex_OIm(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_146, plain, (c_Complex_ORe(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1020, plain, (c_Complex_ORe(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1024, plain, (c_Complex_Oexpi(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1219, plain, (c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_95, plain, (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1))).
% 94.13/12.64 cnf(i_0_918, plain, (c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1022, plain, (c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_985, plain, (c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_765, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1))).
% 94.13/12.64 cnf(i_0_1180, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1))).
% 94.13/12.64 cnf(i_0_1023, plain, (c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_664, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk6_0))).
% 94.13/12.64 cnf(i_0_666, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk7_0))).
% 94.13/12.64 cnf(i_0_367, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_ORe(X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))).
% 94.13/12.64 cnf(i_0_1144, plain, (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_143, plain, (c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1049, plain, (c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Complex_Oii)).
% 94.13/12.64 cnf(i_0_940, plain, (c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X1))=X1)).
% 94.13/12.64 cnf(i_0_956, plain, (c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X1))=X1)).
% 94.13/12.64 cnf(i_0_936, plain, (c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_444, plain, (c_Complex_OIm(c_Complex_Ocomplex_OComplex(X1,X2))=X2)).
% 94.13/12.64 cnf(i_0_443, plain, (c_Complex_ORe(c_Complex_Ocomplex_OComplex(X1,X2))=X1)).
% 94.13/12.64 cnf(i_0_108, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))).
% 94.13/12.64 cnf(i_0_1021, plain, (c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_671, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_436, plain, (c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1028, plain, (c_Complex_Ocomplex_OComplex(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_445, plain, (c_Complex_Ocomplex_OComplex(c_Complex_ORe(X1),c_Complex_OIm(X1))=X1)).
% 94.13/12.64 cnf(i_0_800, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)).
% 94.13/12.64 cnf(i_0_1135, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)).
% 94.13/12.64 cnf(i_0_928, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)))).
% 94.13/12.64 cnf(i_0_796, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)=X1)).
% 94.13/12.64 cnf(i_0_1134, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=X1)).
% 94.13/12.64 cnf(i_0_451, plain, (c_Complex_Ocomplex_Ocomplex__size(c_Complex_Ocomplex_OComplex(X1,X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_817, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_133, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Complex_OIm(X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))).
% 94.13/12.64 cnf(i_0_134, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Complex_ORe(X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))).
% 94.13/12.64 cnf(i_0_129, plain, (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X1,X2))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1))).
% 94.13/12.64 cnf(i_0_1184, plain, (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))=X1)).
% 94.13/12.64 cnf(i_0_820, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)).
% 94.13/12.64 cnf(i_0_454, plain, (c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_354, plain, (c_Complex_OIm(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_OIm(X1)))).
% 94.13/12.64 cnf(i_0_351, plain, (c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_ORe(X1)))).
% 94.13/12.64 cnf(i_0_1203, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_824, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1155, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_988, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X1))))).
% 94.13/12.64 cnf(i_0_764, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)))).
% 94.13/12.64 cnf(i_0_763, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))).
% 94.13/12.64 cnf(i_0_937, plain, (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1))=c_RealDef_Oreal(tc_Nat_Onat,X1))).
% 94.13/12.64 cnf(i_0_449, plain, (c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex,X1,X2)=c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2)))).
% 94.13/12.64 cnf(i_0_957, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1)=X1)).
% 94.13/12.64 cnf(i_0_1041, plain, (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Oii))).
% 94.13/12.64 cnf(i_0_120, plain, (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_349, plain, (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X1)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_109, plain, (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X2))=c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2))).
% 94.13/12.64 cnf(i_0_2, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))))).
% 94.13/12.64 cnf(i_0_724, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1))).
% 94.13/12.64 cnf(i_0_138, plain, (c_RealVector_Odist__class_Odist(tc_RealDef_Oreal,X1,X2)=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)))).
% 94.13/12.64 cnf(i_0_1001, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1))))).
% 94.13/12.64 cnf(i_0_533, plain, (c_RealVector_OscaleR__class_OscaleR(tc_RealDef_Oreal,X1,X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))).
% 94.13/12.64 cnf(i_0_851, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)=X1)).
% 94.13/12.64 cnf(i_0_852, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1)=X2)).
% 94.13/12.64 cnf(i_0_145, plain, (c_Complex_OIm(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex,X1,X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Complex_OIm(X2)))).
% 94.13/12.64 cnf(i_0_144, plain, (c_Complex_ORe(c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex,X1,X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Complex_ORe(X2)))).
% 94.13/12.64 cnf(i_0_81, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2)))).
% 94.13/12.64 cnf(i_0_1014, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1)).
% 94.13/12.64 cnf(i_0_1158, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))=X1)).
% 94.13/12.64 cnf(i_0_1010, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)=X1)).
% 94.13/12.64 cnf(i_0_1159, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)=X1)).
% 94.13/12.64 cnf(i_0_403, plain, (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_OIm(X1),c_Complex_OIm(X2))=c_Complex_OIm(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)))).
% 94.13/12.64 cnf(i_0_402, plain, (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_ORe(X1),c_Complex_ORe(X2))=c_Complex_ORe(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)))).
% 94.13/12.64 cnf(i_0_778, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_816, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1271, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_780, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1189, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_1136, plain, (c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_1083, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_304, plain, (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(X1),c_Complex_OIm(X2))=c_Complex_OIm(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2)))).
% 94.13/12.64 cnf(i_0_294, plain, (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(X1),c_Complex_ORe(X2))=c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2)))).
% 94.13/12.64 cnf(i_0_675, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1)))).
% 94.13/12.64 cnf(i_0_1002, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))).
% 94.13/12.64 cnf(i_0_1272, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_1161, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 94.13/12.64 cnf(i_0_1153, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_452, plain, (c_Complex_Ocomplex_Ocomplex__rec(X1,X2,c_Complex_Ocomplex_OComplex(X3,X4))=hAPP(hAPP(X2,X3),X4))).
% 94.13/12.64 cnf(i_0_453, plain, (c_Complex_Ocomplex_Ocomplex__case(X1,X2,c_Complex_Ocomplex_OComplex(X3,X4))=hAPP(hAPP(X2,X3),X4))).
% 94.13/12.64 cnf(i_0_1054, plain, (c_Complex_Ocomplex_OComplex(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Ocomplex_OComplex(X2,X1)))).
% 94.13/12.64 cnf(i_0_1053, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X1,X2)),c_Complex_Oii)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Ocomplex_OComplex(X1,X2)))).
% 94.13/12.64 cnf(i_0_431, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),X1))=c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1))).
% 94.13/12.64 cnf(i_0_1177, plain, (hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)).
% 94.13/12.64 cnf(i_0_1003, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))))).
% 94.13/12.64 cnf(i_0_859, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)))).
% 94.13/12.64 cnf(i_0_1185, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3)))).
% 94.13/12.64 cnf(i_0_916, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(X1)),c_Complex_Oexpi(X2))=c_Complex_Oexpi(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)))).
% 94.13/12.64 cnf(i_0_1371, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))).
% 94.13/12.64 cnf(i_0_1370, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))).
% 94.13/12.64 cnf(i_0_942, plain, (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))=c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))).
% 94.13/12.64 cnf(i_0_1358, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_1323, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 94.13/12.64 cnf(i_0_1190, plain, (c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)))).
% 94.13/12.64 cnf(i_0_663, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Complex_OIm(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk6_0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))).
% 94.13/12.64 cnf(i_0_665, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Complex_ORe(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk7_0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))).
% 94.13/12.64 cnf(i_0_673, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Complex_OIm(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk10_0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))).
% 94.13/12.64 cnf(i_0_839, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Complex_ORe(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk15_0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))).
% 94.13/12.64 cnf(i_0_901, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Complex_OIm(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk23_0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))).
% 94.13/12.64 cnf(i_0_902, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Complex_ORe(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk24_0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))).
% 94.13/12.64 cnf(i_0_853, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)))).
% 94.13/12.64 cnf(i_0_446, plain, (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2),c_Complex_Ocomplex_OComplex(X3,X4))=c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4)))).
% 94.13/12.64 cnf(i_0_856, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_855, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_1128, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2)))).
% 94.13/12.64 cnf(i_0_448, plain, (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2),c_Complex_Ocomplex_OComplex(X3,X4))=c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X3),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X4)))).
% 94.13/12.64 cnf(i_0_1071, plain, (c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2))).
% 94.13/12.64 cnf(i_0_1142, plain, (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X2))).
% 94.13/12.64 cnf(i_0_607, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X2)))).
% 94.13/12.64 cnf(i_0_676, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X1))))).
% 94.13/12.64 cnf(i_0_1284, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1074, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_941, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_RealDef_Oreal(tc_Nat_Onat,X2))=c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))).
% 94.13/12.64 cnf(i_0_610, plain, (c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3))=c_RealVector_OscaleR__class_OscaleR(tc_Complex_Ocomplex,X1,c_Complex_Ocomplex_OComplex(X2,X3)))).
% 94.13/12.64 cnf(i_0_653, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X1,X2)),c_Complex_Orcis(X3,X4))=c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4)))).
% 94.13/12.64 cnf(i_0_472, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3)))).
% 94.13/12.64 cnf(i_0_531, plain, (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3)),X2))).
% 94.13/12.64 cnf(i_0_604, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_846, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))).
% 94.13/12.64 cnf(i_0_1138, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)))).
% 94.13/12.64 cnf(i_0_1072, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))).
% 94.13/12.64 cnf(i_0_101, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X3),X4))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X3)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X4)))))).
% 94.13/12.64 cnf(i_0_1334, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)))).
% 94.13/12.64 cnf(i_0_1084, plain, (c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X2)),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(X1,X3)),X2))).
% 94.13/12.64 cnf(i_0_848, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)))).
% 94.13/12.64 cnf(i_0_850, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))).
% 94.13/12.64 cnf(i_0_1140, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3)))).
% 94.13/12.64 cnf(i_0_847, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),X2))).
% 94.13/12.64 cnf(i_0_1143, plain, (c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X3)))).
% 94.13/12.64 cnf(i_0_1139, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3)),X2))).
% 94.13/12.64 cnf(i_0_655, plain, (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_ORe(X1)),c_Complex_OIm(X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_OIm(X1)),c_Complex_ORe(X2)))=c_Complex_OIm(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2)))).
% 94.13/12.64 cnf(i_0_849, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)),X2))).
% 94.13/12.64 cnf(i_0_656, plain, (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_ORe(X1)),c_Complex_ORe(X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_OIm(X1)),c_Complex_OIm(X2)))=c_Complex_ORe(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2)))).
% 94.13/12.64 cnf(i_0_1141, plain, (c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3)),X2))).
% 94.13/12.64 cnf(i_0_1073, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)))).
% 94.13/12.64 cnf(i_0_864, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2),X4))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),X2),X4))).
% 94.13/12.64 cnf(i_0_654, plain, (c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X1,X3)),c_Complex_Ocomplex_OComplex(X2,X4)))).
% 94.13/12.64 cnf(i_0_857, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1187, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1))).
% 94.13/12.64 cnf(i_0_100, plain, (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))=c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)))).
% 94.13/12.64 cnf(i_0_474, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))).
% 94.13/12.64 cnf(i_0_845, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))).
% 94.13/12.64 cnf(i_0_1137, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1))).
% 94.13/12.64 cnf(i_0_858, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)))).
% 94.13/12.64 cnf(i_0_1186, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3)))).
% 94.13/12.64 cnf(i_0_1356, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))).
% 94.13/12.64 cnf(i_0_1357, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))).
% 94.13/12.64 cnf(i_0_1288, plain, (hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(X3,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)))).
% 94.13/12.64 cnf(i_0_1593, negated_conjecture, (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))))).
% 94.13/12.64 cnf(i_0_1045, plain, (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 94.13/12.64 cnf(i_0_1044, plain, (c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii)).
% 94.13/12.64 cnf(i_0_698, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1))).
% 94.13/12.64 cnf(i_0_968, plain, (c_Groups_Oone__class_Oone(tc_RealDef_Oreal)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_1156, plain, (c_Groups_Oone__class_Oone(tc_Int_Oint)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_317, plain, (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1))).
% 94.13/12.64 cnf(i_0_1331, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=X1)).
% 94.13/12.64 cnf(i_0_1147, plain, (~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X1))).
% 94.13/12.64 cnf(i_0_672, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 94.13/12.64 cnf(i_0_929, plain, (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_1304, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_993, plain, (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))).
% 94.13/12.64 cnf(i_0_722, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2))).
% 94.13/12.64 cnf(i_0_723, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1))).
% 94.13/12.64 cnf(i_0_1338, plain, (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1))).
% 94.13/12.64 cnf(i_0_1160, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_661, plain, (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))).
% 94.13/12.64 cnf(i_0_970, plain, (c_Groups_Oone__class_Oone(X1)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ozero__neq__one(X1))).
% 94.13/12.64 cnf(i_0_214, plain, (~c_Orderings_Oord__class_Oless(X1,X2,X2)|~class_Orderings_Opreorder(X1))).
% 94.13/12.64 cnf(i_0_210, plain, (~c_Orderings_Oord__class_Oless(X1,X2,X2)|~class_Orderings_Olinorder(X1))).
% 94.13/12.64 cnf(i_0_164, plain, (~c_Orderings_Oord__class_Oless(X1,X2,X2)|~class_Orderings_Oorder(X1))).
% 94.13/12.64 cnf(i_0_314, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_98, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),X2))).
% 94.13/12.64 cnf(i_0_227, plain, (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1052, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Complex_Ocomplex_OComplex(X1,X2)!=c_Complex_Oii)).
% 94.13/12.64 cnf(i_0_1051, plain, (X1=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Complex_Ocomplex_OComplex(X2,X1)!=c_Complex_Oii)).
% 94.13/12.64 cnf(i_0_434, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Complex_Ocomplex_OComplex(X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1026, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Complex_Ocomplex_OComplex(X2,X1)!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_973, plain, (~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_975, plain, (~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_435, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Complex_Ocomplex_OComplex(X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_1027, plain, (X1=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Complex_Ocomplex_OComplex(X1,X2)!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))).
% 94.13/12.64 cnf(i_0_284, plain, (~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X2))).
% 94.13/12.64 cnf(i_0_290, plain, (~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X2))).
% 94.13/12.64 cnf(i_0_842, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk16_1(X1))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_910, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk29_1(X1))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_78, plain, (X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_226, plain, (~c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_438, plain, (X1=X2|c_Complex_Ocomplex_OComplex(X3,X1)!=c_Complex_Ocomplex_OComplex(X4,X2))).
% 94.13/12.64 cnf(i_0_405, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_921, plain, (c_RComplete_Onatfloor(X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_995, plain, (c_RComplete_Onatceiling(X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_935, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_RealDef_Oreal(tc_Nat_Onat,X1)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_439, plain, (X1=X2|c_Complex_Ocomplex_OComplex(X1,X3)!=c_Complex_Ocomplex_OComplex(X2,X4))).
% 94.13/12.64 cnf(i_0_4, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X2)|~class_Orderings_Opreorder(X1))).
% 94.13/12.64 cnf(i_0_155, plain, (~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Orderings_Opreorder(X1))).
% 94.13/12.64 cnf(i_0_1227, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_99, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2),X1))).
% 94.13/12.64 cnf(i_0_413, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_804, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=X2)).
% 94.13/12.64 cnf(i_0_139, plain, (X1=X2|c_Complex_OIm(X1)!=c_Complex_OIm(X2)|c_Complex_ORe(X1)!=c_Complex_ORe(X2))).
% 94.13/12.64 cnf(i_0_208, plain, (~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Orderings_Olinorder(X1))).
% 94.13/12.64 cnf(i_0_162, plain, (~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Orderings_Oorder(X1))).
% 94.13/12.64 cnf(i_0_80, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1))).
% 94.13/12.64 cnf(i_0_1392, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 94.13/12.64 cnf(i_0_1394, plain, (class_Orderings_Oord(tc_fun(X1,X2))|~class_Orderings_Oord(X2))).
% 94.13/12.64 cnf(i_0_1393, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 94.13/12.64 cnf(i_0_1391, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 94.13/12.64 cnf(i_0_407, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_409, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)))).
% 94.13/12.64 cnf(i_0_1232, plain, (X1=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Transcendental_Oln(X1)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_819, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 94.13/12.64 cnf(i_0_1395, plain, (class_Groups_Ouminus(tc_fun(X1,X2))|~class_Groups_Ouminus(X2))).
% 94.13/12.64 cnf(i_0_1396, plain, (class_Groups_Ominus(tc_fun(X1,X2))|~class_Groups_Ominus(X2))).
% 94.13/12.64 cnf(i_0_682, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_1148, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_213, plain, (~class_RealVector_Ometric__space(X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X1,X2,X3),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_939, plain, (X1=X2|c_RealDef_Oreal(tc_Nat_Onat,X1)!=c_RealDef_Oreal(tc_Nat_Onat,X2))).
% 94.13/12.64 cnf(i_0_944, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_239, plain, (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)=X1|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_235, plain, (c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_334, plain, (X1=X2|c_Groups_Ominus__class_Ominus(X3,X1,X2)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Ogroup__add(X3))).
% 94.13/12.64 cnf(i_0_331, plain, (X1=X2|c_Groups_Ominus__class_Ominus(X3,X1,X2)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Oab__group__add(X3))).
% 94.13/12.64 cnf(i_0_339, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Ouminus__class_Ouminus(X2,X1)!=X1|~class_Groups_Olinordered__ab__group__add(X2))).
% 94.13/12.64 cnf(i_0_240, plain, (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_802, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_964, plain, (c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X1))).
% 94.13/12.64 cnf(i_0_190, plain, (X1=X2|c_RealVector_Odist__class_Odist(X3,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))).
% 94.13/12.64 cnf(i_0_272, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X1))).
% 94.13/12.64 cnf(i_0_281, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X1))).
% 94.13/12.64 cnf(i_0_803, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1034, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 94.13/12.64 cnf(i_0_1032, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X1)))).
% 94.13/12.64 cnf(i_0_280, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X2)|~class_Orderings_Oorder(X1))).
% 94.13/12.64 cnf(i_0_348, plain, (X1=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)|c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_408, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2))).
% 94.13/12.64 cnf(i_0_406, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))).
% 94.13/12.64 cnf(i_0_338, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Olinordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_202, plain, (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_670, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk9_1(X1))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_891, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk20_1(X1))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_441, plain, (~c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X3,X4)|~class_Orderings_Oord(X2)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X4,X3))).
% 94.13/12.64 cnf(i_0_341, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Ouminus__class_Ouminus(X2,X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))).
% 94.13/12.64 cnf(i_0_257, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_237, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_RealVector_Onorm__class_Onorm(X2,X1)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_1237, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1)))).
% 94.13/12.64 cnf(i_0_345, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oabs__class_Oabs(X2,X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Oordered__ab__group__add__abs(X2))).
% 94.13/12.64 cnf(i_0_752, plain, (X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_1183, plain, (X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_844, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk17_2(X1,X2))|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_908, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk28_2(X1,X2))|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_912, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk30_2(X1,X2))|~class_RealVector_Oreal__normed__algebra(X2))).
% 94.13/12.64 cnf(i_0_914, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk31_2(X1,X2))|~class_RealVector_Oreal__normed__algebra(X2))).
% 94.13/12.64 cnf(i_0_335, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_225, plain, (~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ozero__class_Ozero(X1)))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_26, plain, (X1=X2|c_Groups_Ouminus__class_Ouminus(X3,X1)!=c_Groups_Ouminus__class_Ouminus(X3,X2)|~class_Groups_Ogroup__add(X3))).
% 94.13/12.64 cnf(i_0_92, plain, (X1=X2|c_Groups_Ouminus__class_Ouminus(X3,X1)!=c_Groups_Ouminus__class_Ouminus(X3,X2)|~class_Lattices_Oboolean__algebra(X3))).
% 94.13/12.64 cnf(i_0_79, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3))).
% 94.13/12.64 cnf(i_0_350, plain, (X1=X2|c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_346, plain, (c_Groups_Oabs__class_Oabs(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_326, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,X3,X1)!=X3|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2))).
% 94.13/12.64 cnf(i_0_815, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_200, plain, (~class_RealVector_Ometric__space(X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X2)))).
% 94.13/12.64 cnf(i_0_861, plain, (X1=X2|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_863, plain, (X1=X2|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_969, plain, (c_Groups_Oabs__class_Oabs(X1,c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__idom(X1))).
% 94.13/12.64 cnf(i_0_1313, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1339, plain, (~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_322, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,X1,X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Olinordered__ab__group__add(X2))).
% 94.13/12.64 cnf(i_0_414, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_315, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_107, plain, (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2))=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_563, plain, (~class_Rings_Olinordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_53, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_Orderings_Oord__class_Oless__eq(X3,X2,X1)|~c_Orderings_Oord__class_Oless__eq(X3,X1,X2))).
% 94.13/12.64 cnf(i_0_1205, plain, (c_Nat__Transfer_Otsub(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1))).
% 94.13/12.64 cnf(i_0_1220, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_1241, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_750, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),X2))).
% 94.13/12.64 cnf(i_0_749, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2))).
% 94.13/12.64 cnf(i_0_330, plain, (c_Groups_Ominus__class_Ominus(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_103, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__group__add__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3))).
% 94.13/12.64 cnf(i_0_420, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3))).
% 94.13/12.64 cnf(i_0_714, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2))).
% 94.13/12.64 cnf(i_0_230, plain, (X1=X2|~class_RealVector_Ometric__space(X3)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X3,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_72, plain, (X1=X2|c_Groups_Oplus__class_Oplus(X3,X4,X1)!=c_Groups_Oplus__class_Oplus(X3,X4,X2)|~class_Groups_Ocancel__semigroup__add(X3))).
% 94.13/12.64 cnf(i_0_5, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3))).
% 94.13/12.64 cnf(i_0_256, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_71, plain, (X1=X2|c_Groups_Oplus__class_Oplus(X3,X4,X1)!=c_Groups_Oplus__class_Oplus(X3,X4,X2)|~class_Groups_Ocancel__ab__semigroup__add(X3))).
% 94.13/12.64 cnf(i_0_70, plain, (X1=X2|c_Groups_Oplus__class_Oplus(X3,X1,X4)!=c_Groups_Oplus__class_Oplus(X3,X2,X4)|~class_Groups_Ocancel__semigroup__add(X3))).
% 94.13/12.64 cnf(i_0_1228, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_232, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_234, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)))).
% 94.13/12.64 cnf(i_0_1149, plain, (c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)=X1|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_196, plain, (c_RealVector_Odist__class_Odist(X1,X2,X2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X1))).
% 94.13/12.64 cnf(i_0_1154, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1),c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_1152, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1))).
% 94.13/12.64 cnf(i_0_805, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_97, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_1, plain, (X1=X2|hAPP(X1,esk1_2(X2,X1))!=hAPP(X2,esk1_2(X2,X1)))).
% 94.13/12.64 cnf(i_0_102, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oabs__class_Oabs(X1,X2))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_400, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Oordered__ab__group__add__abs(X2)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),c_Groups_Ozero__class_Ozero(X2)))).
% 94.13/12.64 cnf(i_0_206, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_947, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_RComplete_Onatfloor(X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X2))).
% 94.13/12.64 cnf(i_0_996, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X2)))).
% 94.13/12.64 cnf(i_0_967, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)=X2|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_327, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_319, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ocomm__monoid__add(X1))).
% 94.13/12.64 cnf(i_0_1206, plain, (c_Nat__Transfer_Otsub(X1,X2)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1))).
% 94.13/12.64 cnf(i_0_16, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=X2|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_320, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Omonoid__add(X1))).
% 94.13/12.64 cnf(i_0_328, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_323, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=X2|~class_Groups_Ocomm__monoid__add(X1))).
% 94.13/12.64 cnf(i_0_324, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=X2|~class_Groups_Omonoid__add(X1))).
% 94.13/12.64 cnf(i_0_325, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1))).
% 94.13/12.64 cnf(i_0_89, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=X2|~class_Lattices_Oboolean__algebra(X1))).
% 94.13/12.64 cnf(i_0_329, plain, (c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_680, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_920, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X1),c_RComplete_Onatfloor(X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_987, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1),c_RComplete_Onatceiling(X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_668, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk8_2(X1,X2))|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_1146, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_33, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2)))).
% 94.13/12.64 cnf(i_0_889, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk19_2(X1,X2))|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_893, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk21_2(X1,X2))|~class_RealVector_Oreal__normed__algebra(X2))).
% 94.13/12.64 cnf(i_0_895, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk22_2(X1,X2))|~class_RealVector_Oreal__normed__algebra(X2))).
% 94.13/12.64 cnf(i_0_1033, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_312, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1031, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_228, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3))|~class_RealVector_Ometric__space(X1))).
% 94.13/12.64 cnf(i_0_933, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)))).
% 94.13/12.64 cnf(i_0_760, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_332, plain, (c_Groups_Ominus__class_Ominus(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1))).
% 94.13/12.64 cnf(i_0_972, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__semidom(X1))).
% 94.13/12.64 cnf(i_0_1181, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1))).
% 94.13/12.64 cnf(i_0_946, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_233, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2))).
% 94.13/12.64 cnf(i_0_45, plain, (c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_974, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__semidom(X1))).
% 94.13/12.64 cnf(i_0_279, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless__eq(X1,X3,X2)|~class_Orderings_Olinorder(X1))).
% 94.13/12.64 cnf(i_0_231, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))).
% 94.13/12.64 cnf(i_0_1151, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 94.13/12.64 cnf(i_0_1234, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_1230, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_384, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2)))).
% 94.13/12.64 cnf(i_0_422, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2)))).
% 94.13/12.64 cnf(i_0_197, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_755, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_756, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_812, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_388, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2))).
% 94.13/12.64 cnf(i_0_222, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2))).
% 94.13/12.64 cnf(i_0_1085, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oring__1__no__zero__divisors(X2))).
% 94.13/12.64 cnf(i_0_931, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2)))).
% 94.13/12.64 cnf(i_0_1006, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1),X2))).
% 94.13/12.64 cnf(i_0_951, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_RComplete_Onatfloor(X2)))).
% 94.13/12.64 cnf(i_0_205, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_822, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))).
% 94.13/12.64 cnf(i_0_1130, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_1362, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_1173, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 94.13/12.64 cnf(i_0_949, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)))).
% 94.13/12.64 cnf(i_0_1359, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))).
% 94.13/12.64 cnf(i_0_1171, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 94.13/12.64 cnf(i_0_238, plain, (c_RealVector_Odist__class_Odist(X1,X2,c_Groups_Ozero__class_Ozero(X1))=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1169, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))).
% 94.13/12.64 cnf(i_0_1222, plain, (X1=X2|c_Transcendental_Oln(X1)!=c_Transcendental_Oln(X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_27, plain, (X1=X2|c_Groups_Ominus__class_Ominus(X3,X4,X4)!=c_Groups_Ominus__class_Ominus(X3,X1,X2)|~class_Groups_Oab__group__add(X3))).
% 94.13/12.64 cnf(i_0_759, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)))).
% 94.13/12.64 cnf(i_0_470, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)=X2|~class_Lattices_Oab__semigroup__idem__mult(X1))).
% 94.13/12.64 cnf(i_0_401, plain, (c_Groups_Oabs__class_Oabs(X1,X2)=X2|~class_Groups_Oordered__ab__group__add__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_223, plain, (c_Groups_Oabs__class_Oabs(X1,X2)=X2|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_442, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)|~c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X3,X4)|~class_Orderings_Oord(X2))).
% 94.13/12.64 cnf(i_0_87, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Lattices_Oboolean__algebra(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2)))).
% 94.13/12.64 cnf(i_0_1233, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_321, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Olinordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_106, plain, (c_Groups_Oabs__class_Oabs(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Groups_Oabs__class_Oabs(X1,X2)|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_379, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_215, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1368, plain, (X1=X2|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1012, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))).
% 94.13/12.64 cnf(i_0_96, plain, (c_Groups_Oabs__class_Oabs(X1,c_Groups_Oabs__class_Oabs(X1,X2))=c_Groups_Oabs__class_Oabs(X1,X2)|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_762, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk11_2(X2,X1))=X2|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_767, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk12_2(X2,X1))=X2|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_229, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X1,X2,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|~class_RealVector_Ometric__space(X1))).
% 94.13/12.64 cnf(i_0_1013, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))).
% 94.13/12.64 cnf(i_0_1150, plain, (c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_198, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_1036, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,esk37_1(X1)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_1226, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X2)))).
% 94.13/12.64 cnf(i_0_201, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1))|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_753, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_274, plain, (X1=X2|c_Orderings_Oord__class_Oless(X3,X2,X1)|~class_Orderings_Oorder(X3)|~c_Orderings_Oord__class_Oless__eq(X3,X2,X1))).
% 94.13/12.64 cnf(i_0_271, plain, (X1=X2|c_Orderings_Oord__class_Oless(X3,X1,X2)|~class_Orderings_Olinorder(X3)|~c_Orderings_Oord__class_Oless__eq(X3,X1,X2))).
% 94.13/12.64 cnf(i_0_1182, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3))).
% 94.13/12.64 cnf(i_0_1324, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 94.13/12.64 cnf(i_0_948, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_398, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oabs__class_Oabs(X1,X2))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_1244, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk46_2(X1,X2))|~c_SEQ_OBseq(X2,X1)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_1250, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk50_2(X1,X2))|~c_SEQ_OBseq(X2,X1)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_1253, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk53_2(X1,X2))|~c_SEQ_OBseq(X2,X1)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_1124, plain, (c_Power_Opower_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1))=c_Power_Opower__class_Opower(X1)|~class_Power_Opower(X1))).
% 94.13/12.64 cnf(i_0_811, plain, (X1=X2|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1255, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk56_2(X1,X2))|~c_SEQ_OBseq(X2,X1)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_124, plain, (c_Groups_Oplus__class_Oplus(X1,X2,X3)=c_Groups_Oplus__class_Oplus(X1,X3,X2)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_727, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2))).
% 94.13/12.64 cnf(i_0_114, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Groups_Oordered__ab__group__add__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3))).
% 94.13/12.64 cnf(i_0_419, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3))).
% 94.13/12.64 cnf(i_0_382, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)))).
% 94.13/12.64 cnf(i_0_389, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_932, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_50, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|c_Orderings_Oord__class_Oless__eq(X1,X3,X2)|~class_Orderings_Olinorder(X1))).
% 94.13/12.64 cnf(i_0_1064, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_392, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_218, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_386, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_220, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_393, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1009, plain, (c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_1008, plain, (c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatceiling(X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_1091, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|~class_Groups_Omonoid__mult(X1))).
% 94.13/12.64 cnf(i_0_397, plain, (c_Groups_Ominus__class_Ominus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ouminus__class_Ouminus(X1,X2)|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_395, plain, (X1=c_Groups_Ouminus__class_Ouminus(X2,X3)|c_Groups_Oplus__class_Oplus(X2,X3,X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))).
% 94.13/12.64 cnf(i_0_390, plain, (X1=c_Groups_Ouminus__class_Ouminus(X2,X3)|c_Groups_Oplus__class_Oplus(X2,X1,X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))).
% 94.13/12.64 cnf(i_0_999, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))).
% 94.13/12.64 cnf(i_0_997, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X2)))).
% 94.13/12.64 cnf(i_0_958, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_721, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)))).
% 94.13/12.64 cnf(i_0_376, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_151, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_425, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_378, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2)))).
% 94.13/12.64 cnf(i_0_153, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2)))).
% 94.13/12.64 cnf(i_0_9, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3)))).
% 94.13/12.64 cnf(i_0_718, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_719, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_960, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Ocomm__monoid__mult(X1))).
% 94.13/12.64 cnf(i_0_119, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Oabs__class_Oabs(X1,X2))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_7, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4)))).
% 94.13/12.64 cnf(i_0_295, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1))).
% 94.13/12.64 cnf(i_0_977, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1))).
% 94.13/12.64 cnf(i_0_1326, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk68_1(X1))=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_1360, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_961, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Omonoid__mult(X1))).
% 94.13/12.64 cnf(i_0_296, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1))).
% 94.13/12.64 cnf(i_0_1097, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Rings_Ozero__neq__one(X1)|~class_Rings_Omult__zero(X1)|~class_Rings_Ono__zero__divisors(X1))).
% 94.13/12.64 cnf(i_0_1166, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_39, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3)=X2|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_38, plain, (c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3)=X2|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_130, plain, (c_Groups_Oabs__class_Oabs(X1,X2)=c_Groups_Ouminus__class_Ouminus(X1,X2)|~class_Groups_Oordered__ab__group__add__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_249, plain, (c_Groups_Oabs__class_Oabs(X1,X2)=c_Groups_Ouminus__class_Ouminus(X1,X2)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_251, plain, (c_Groups_Oabs__class_Oabs(X1,X2)=c_Groups_Ouminus__class_Ouminus(X1,X2)|~class_Groups_Oabs__if(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_383, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_644, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X3)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_732, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))=X2|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_1225, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_1065, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_421, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_387, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_221, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_283, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless__eq(X1,X3,X2)|~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3))).
% 94.13/12.64 cnf(i_0_955, plain, (c_RComplete_Onatfloor(X1)=X2|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),X1))).
% 94.13/12.64 cnf(i_0_1035, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),X2))).
% 94.13/12.64 cnf(i_0_188, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=c_Groups_Ozero__class_Ozero(X3)|c_RealVector_OscaleR__class_OscaleR(X3,X1,X2)!=c_Groups_Ozero__class_Ozero(X3)|~class_RealVector_Oreal__vector(X3))).
% 94.13/12.64 cnf(i_0_1345, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_1101, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X1)|~class_Power_Opower(X1))).
% 94.13/12.64 cnf(i_0_52, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X3))).
% 94.13/12.64 cnf(i_0_54, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_265, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_263, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X3))).
% 94.13/12.64 cnf(i_0_1340, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_927, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_1224, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_959, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_156, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Oorder(X1))).
% 94.13/12.64 cnf(i_0_266, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X3))).
% 94.13/12.64 cnf(i_0_264, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_157, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Orderings_Opreorder(X1))).
% 94.13/12.64 cnf(i_0_962, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Ocomm__monoid__mult(X1))).
% 94.13/12.64 cnf(i_0_726, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)))).
% 94.13/12.64 cnf(i_0_199, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X3,X1,X2))|~class_RealVector_Ometric__space(X3))).
% 94.13/12.64 cnf(i_0_963, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Omonoid__mult(X1))).
% 94.13/12.64 cnf(i_0_1055, plain, (c_SEQ_Odecseq(X1,X2)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk41_2(X2,X1)),hAPP(X2,esk40_2(X2,X1))))).
% 94.13/12.64 cnf(i_0_1245, plain, (c_SEQ_Oincseq(X1,X2)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,esk48_2(X2,X1)),hAPP(X2,esk49_2(X2,X1))))).
% 94.13/12.64 cnf(i_0_1265, plain, (c_SEQ_OBseq(X1,X2)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk62_4(X3,X2,X4,X1))),X3))).
% 94.13/12.64 cnf(i_0_687, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))).
% 94.13/12.64 cnf(i_0_701, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1361, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_1172, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_743, plain, (X1=X2|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)!=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1))).
% 94.13/12.64 cnf(i_0_29, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|c_Groups_Ominus__class_Ominus(X1,X4,X5)!=c_Groups_Ominus__class_Ominus(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X5))).
% 94.13/12.64 cnf(i_0_305, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Groups_Ominus__class_Ominus(X1,X4,X5)!=c_Groups_Ominus__class_Ominus(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X5)|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1145, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1))).
% 94.13/12.64 cnf(i_0_662, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)))).
% 94.13/12.64 cnf(i_0_758, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_476, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_688, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_690, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1300, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_754, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1191, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3))).
% 94.13/12.64 cnf(i_0_40, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Oplus__class_Oplus(X1,X2,X3))=X3|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_41, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3))=X3|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_478, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_731, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))=X2|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1163, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 94.13/12.64 cnf(i_0_1157, plain, (c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))!=c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 94.13/12.64 cnf(i_0_195, plain, (c_RealVector_Odist__class_Odist(X1,X2,X3)=c_RealVector_Odist__class_Odist(X1,X3,X2)|~class_RealVector_Ometric__space(X1))).
% 94.13/12.64 cnf(i_0_605, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_606, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X2))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 94.13/12.64 cnf(i_0_172, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=X4|c_RealVector_OscaleR__class_OscaleR(X2,X3,X1)!=c_RealVector_OscaleR__class_OscaleR(X2,X4,X1)|~class_RealVector_Oreal__vector(X2))).
% 94.13/12.64 cnf(i_0_830, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_399, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_781, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_131, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_173, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=X3|c_RealVector_OscaleR__class_OscaleR(X4,X1,X2)!=c_RealVector_OscaleR__class_OscaleR(X4,X1,X3)|~class_RealVector_Oreal__vector(X4))).
% 94.13/12.64 cnf(i_0_18, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ominus__class_Ominus(X1,X2,X3)|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_19, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ominus__class_Ominus(X1,X2,X3)|~class_Groups_Oab__group__add(X1))).
% 94.13/12.64 cnf(i_0_82, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ominus__class_Ominus(X1,X2,X3)|~class_Rings_Ocomm__ring__1(X1))).
% 94.13/12.64 cnf(i_0_1215, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk44_2(X1,X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))).
% 94.13/12.64 cnf(i_0_1217, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk45_2(X1,X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))).
% 94.13/12.64 cnf(i_0_930, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_1170, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_487, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1))).
% 94.13/12.64 cnf(i_0_477, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_20, plain, (c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Oplus__class_Oplus(X1,X2,X3)|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_17, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))=c_Groups_Ominus__class_Ominus(X1,X3,X2)|~class_Groups_Oab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1098, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Rings_Ozero__neq__one(X2)|~class_Rings_Omult__zero(X2)|~class_Rings_Ono__zero__divisors(X2))).
% 94.13/12.64 cnf(i_0_416, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4))).
% 94.13/12.64 cnf(i_0_480, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_1162, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_926, plain, (c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X2)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_417, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X4,X2)),X3))).
% 94.13/12.64 cnf(i_0_482, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Ono__zero__divisors(X2))).
% 94.13/12.64 cnf(i_0_486, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oring__no__zero__divisors(X2))).
% 94.13/12.64 cnf(i_0_488, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1))).
% 94.13/12.64 cnf(i_0_953, plain, (c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X2)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_735, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_430, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk4_3(X1,X2,X3))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1))).
% 94.13/12.64 cnf(i_0_457, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk5_3(X1,X2,X3))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1))).
% 94.13/12.64 cnf(i_0_484, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__no__zero__divisors(X1))).
% 94.13/12.64 cnf(i_0_1088, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),X2)=c_Groups_Oone__class_Oone(X1)|~class_Groups_Omonoid__mult(X1))).
% 94.13/12.64 cnf(i_0_776, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))).
% 94.13/12.64 cnf(i_0_777, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))).
% 94.13/12.64 cnf(i_0_381, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_217, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_998, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_385, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_485, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__no__zero__divisors(X1))).
% 94.13/12.64 cnf(i_0_219, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_36, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2)))).
% 94.13/12.64 cnf(i_0_307, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1314, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1018, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=X1)).
% 94.13/12.64 cnf(i_0_1383, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_34, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2))).
% 94.13/12.64 cnf(i_0_309, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1223, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2))).
% 94.13/12.64 cnf(i_0_31, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X2))).
% 94.13/12.64 cnf(i_0_983, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))).
% 94.13/12.64 cnf(i_0_1039, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,esk38_2(X2,X1)))).
% 94.13/12.64 cnf(i_0_311, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1296, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_250, plain, (c_Groups_Oabs__class_Oabs(X1,X2)=X2|c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oabs__if(X1))).
% 94.13/12.64 cnf(i_0_686, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2))).
% 94.13/12.64 cnf(i_0_821, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_377, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_375, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_522, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3))).
% 94.13/12.64 cnf(i_0_520, plain, (X1=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X1))).
% 94.13/12.64 cnf(i_0_1107, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 94.13/12.64 cnf(i_0_1131, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2))).
% 94.13/12.64 cnf(i_0_154, plain, (X1=X2|c_Orderings_Oord__class_Oless(X3,X1,X2)|c_Orderings_Oord__class_Oless(X3,X2,X1)|~class_Orderings_Olinorder(X3))).
% 94.13/12.64 cnf(i_0_1243, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),esk46_2(X2,X1))|~c_SEQ_OBseq(X1,X2)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1254, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),esk56_2(X2,X1))|~c_SEQ_OBseq(X1,X2)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_728, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_643, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),c_RealVector_Onorm__class_Onorm(X2,X4)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 94.13/12.64 cnf(i_0_991, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1))).
% 94.13/12.64 cnf(i_0_450, plain, (X1=X2|c_Orderings_Oord__class_Oless(X3,X1,X2)|c_Orderings_Oord__class_Oless(X3,X2,X1)|~class_Rings_Olinordered__idom(X3))).
% 94.13/12.64 cnf(i_0_258, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1056, plain, (c_SEQ_Odecseq(X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk40_2(X2,X1),esk41_2(X2,X1))|~class_Orderings_Oorder(X1))).
% 94.13/12.64 cnf(i_0_1343, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_3, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1246, plain, (c_SEQ_Oincseq(X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk48_2(X2,X1),esk49_2(X2,X1))|~class_Orderings_Oorder(X1))).
% 94.13/12.64 cnf(i_0_115, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)|~class_Groups_Oordered__ab__group__add__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3))).
% 94.13/12.64 cnf(i_0_418, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X3)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~c_Orderings_Oord__class_Oless(X1,X2,X3))).
% 94.13/12.64 cnf(i_0_85, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Lattices_Oboolean__algebra(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X2))).
% 94.13/12.64 cnf(i_0_1266, plain, (c_SEQ_OBseq(X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,esk62_4(X4,X2,X3,X1))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1209, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(X1,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 94.13/12.64 cnf(i_0_1000, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_369, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3))).
% 94.13/12.64 cnf(i_0_370, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_224, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oabs__class_Oabs(X2,X1))|~class_Groups_Oordered__ab__group__add__abs(X2))).
% 94.13/12.64 cnf(i_0_380, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3))).
% 94.13/12.64 cnf(i_0_216, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1))).
% 94.13/12.64 cnf(i_0_1242, plain, (c_SEQ_OBseq(X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk47_3(X2,X1,X3))),X3))).
% 94.13/12.64 cnf(i_0_734, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2))).
% 94.13/12.64 cnf(i_0_641, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2)))).
% 94.13/12.64 cnf(i_0_639, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3)))).
% 94.13/12.64 cnf(i_0_1204, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 94.13/12.64 cnf(i_0_1256, plain, (c_SEQ_OBseq(X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk57_3(X2,X3,X1))),X3))).
% 94.13/12.64 cnf(i_0_259, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3))|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_648, plain, (~class_Rings_Olinordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3)),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_1167, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 94.13/12.64 cnf(i_0_126, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_77, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oab__semigroup__add(X1))).
% 94.13/12.64 cnf(i_0_178, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Ozero__class_Ozero(X1))=c_RealVector_OscaleR__class_OscaleR(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_1175, plain, (X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2))).
% 94.13/12.64 cnf(i_0_1176, plain, (X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 94.13/12.64 cnf(i_0_825, plain, (hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))|~hBOOL(hAPP(X1,esk13_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_181, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)=c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_720, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_717, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1133, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3))).
% 94.13/12.64 cnf(i_0_1007, plain, (c_RComplete_Onatceiling(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))).
% 94.13/12.64 cnf(i_0_831, plain, (hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))|~hBOOL(hAPP(X1,esk14_3(X3,X2,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_152, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_150, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_424, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_404, plain, (c_RealVector_Odist__class_Odist(X1,X2,X3)=c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))|~class_RealVector_Odist__norm(X1))).
% 94.13/12.64 cnf(i_0_8, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_11, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Groups_Oordered__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_6, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_10, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~class_Groups_Oordered__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_982, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1)))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1__no__zero__divisors(X1))).
% 94.13/12.64 cnf(i_0_246, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_245, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_423, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_783, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))).
% 94.13/12.64 cnf(i_0_90, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,X2),X3),X4)=c_Groups_Ouminus__class_Ouminus(X2,hAPP(X3,X4))|~class_Groups_Ouminus(X2))).
% 94.13/12.64 cnf(i_0_751, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1165, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_601, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_1037, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,esk37_1(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_786, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))).
% 94.13/12.64 cnf(i_0_715, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4))).
% 94.13/12.64 cnf(i_0_534, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2))|~class_Rings_Olinordered__ring(X1))).
% 94.13/12.64 cnf(i_0_428, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X1)),esk4_3(X2,X3,X4))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4,X3)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2))).
% 94.13/12.64 cnf(i_0_429, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X2)),esk4_3(X4,X3,X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X4)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X3))).
% 94.13/12.64 cnf(i_0_729, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_1096, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Power_Opower(X1)|~class_Rings_Ozero__neq__one(X1)|~class_Rings_Omult__zero(X1)|~class_Rings_Ono__zero__divisors(X1))).
% 94.13/12.64 cnf(i_0_746, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1))).
% 94.13/12.64 cnf(i_0_695, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1))).
% 94.13/12.64 cnf(i_0_1076, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),X1)))).
% 94.13/12.64 cnf(i_0_730, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1373, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk69_2(X2,X1)))=X2|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_48, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_47, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_372, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,X3,X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Oordered__comm__monoid__add(X2)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1))).
% 94.13/12.64 cnf(i_0_373, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,X1,X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Oordered__comm__monoid__add(X2)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1))).
% 94.13/12.64 cnf(i_0_790, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))).
% 94.13/12.64 cnf(i_0_44, plain, (c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))=c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1200, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 94.13/12.64 cnf(i_0_603, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3))).
% 94.13/12.64 cnf(i_0_42, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oplus__class_Oplus(X1,X3,X2))|~class_Groups_Ogroup__add(X1))).
% 94.13/12.64 cnf(i_0_793, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1))).
% 94.13/12.64 cnf(i_0_659, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1))!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2))).
% 94.13/12.64 cnf(i_0_660, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3))!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2))).
% 94.13/12.64 cnf(i_0_581, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_1040, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk38_2(X2,X1),X2)|~hBOOL(hAPP(X1,X2)))).
% 94.13/12.64 cnf(i_0_1240, plain, (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Oln(X1),c_Transcendental_Oln(X2))=c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_455, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X1)),esk5_3(X2,X3,X4))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4,X3)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X2))).
% 94.13/12.64 cnf(i_0_456, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X2)),esk5_3(X4,X3,X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X4)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X3))).
% 94.13/12.64 cnf(i_0_1321, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk67_2(X2,X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_582, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_827, plain, (hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~hBOOL(hAPP(X1,esk13_3(X3,X2,X1))))).
% 94.13/12.64 cnf(i_0_833, plain, (hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~hBOOL(hAPP(X1,esk14_3(X3,X2,X1))))).
% 94.13/12.64 cnf(i_0_813, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))).
% 94.13/12.64 cnf(i_0_952, plain, (c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X2)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),X1))).
% 94.13/12.64 cnf(i_0_954, plain, (c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_RealDef_Oreal(tc_Nat_Onat,X2)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X2),X1))).
% 94.13/12.64 cnf(i_0_368, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_881, plain, (X1=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))).
% 94.13/12.64 cnf(i_0_1057, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X2,X4))|~c_SEQ_Odecseq(X1,X2)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X3))).
% 94.13/12.64 cnf(i_0_1247, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X2,X4))|~c_SEQ_Oincseq(X1,X2)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4))).
% 94.13/12.64 cnf(i_0_69, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))|~class_Orderings_Oord(X1)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4))).
% 94.13/12.64 cnf(i_0_906, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk27_4(X1,X2,X3,X4))|~c_RealVector_Obounded__bilinear(X2,X3,X4,X1)|~class_RealVector_Oreal__normed__vector(X4)|~class_RealVector_Oreal__normed__vector(X3)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_300, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))|~c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1))).
% 94.13/12.64 cnf(i_0_298, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_302, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1))).
% 94.13/12.64 cnf(i_0_469, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_260, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),X3)=c_Groups_Ouminus__class_Ouminus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1100, plain, (X1=X2|hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1)!=hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2)|~class_Rings_Olinordered__semidom(X3)|~c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4))).
% 94.13/12.64 cnf(i_0_787, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)))).
% 94.13/12.64 cnf(i_0_981, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))),X2)=c_Groups_Ouminus__class_Ouminus(X1,X2)|~class_Rings_Ocomm__ring__1(X1))).
% 94.13/12.64 cnf(i_0_299, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_1214, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk44_2(X1,X2)),X2)=X1|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))).
% 94.13/12.64 cnf(i_0_984, plain, (X1=c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))|X1=c_Groups_Oone__class_Oone(X2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)!=c_Groups_Oone__class_Oone(X2)|~class_Rings_Oring__1__no__zero__divisors(X2))).
% 94.13/12.64 cnf(i_0_784, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))).
% 94.13/12.64 cnf(i_0_614, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))).
% 94.13/12.64 cnf(i_0_584, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_612, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))).
% 94.13/12.64 cnf(i_0_1109, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oabs__class_Oabs(X1,X2)),X3))|~class_Rings_Olinordered__idom(X1))).
% 94.13/12.64 cnf(i_0_1216, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk45_2(X1,X2)),X2)=X1|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))).
% 94.13/12.64 cnf(i_0_1132, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X4))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X4))).
% 94.13/12.64 cnf(i_0_1382, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1385, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_733, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_577, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 94.13/12.64 cnf(i_0_1104, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_799, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))).
% 94.13/12.64 cnf(i_0_12, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))|~class_Groups_Oordered__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X5)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_516, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),c_Groups_Ouminus__class_Ouminus(X1,X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)|~class_Rings_Oidom(X1))).
% 94.13/12.64 cnf(i_0_740, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1))).
% 94.13/12.64 cnf(i_0_149, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_244, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_243, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_148, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_46, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_125, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))=c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_128, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_68, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)|~class_Orderings_Oord(X2)|~c_Orderings_Oord__class_Oless__eq(X2,hAPP(X3,esk2_4(X4,X3,X1,X2)),hAPP(X4,esk2_4(X4,X3,X1,X2))))).
% 94.13/12.64 cnf(i_0_136, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)|~class_Orderings_Oord(X2)|~c_Orderings_Oord__class_Oless__eq(X2,hAPP(X3,esk3_4(X1,X4,X3,X2)),hAPP(X4,esk3_4(X1,X4,X3,X2))))).
% 94.13/12.64 cnf(i_0_1080, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1)))).
% 94.13/12.64 cnf(i_0_43, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3))|~class_Groups_Oab__group__add(X1))).
% 94.13/12.64 cnf(i_0_716, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1092, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_1095, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X2))).
% 94.13/12.64 cnf(i_0_1322, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk67_2(X1,X2))=X2|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_1081, plain, (c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),X2)|c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1))!=X1)).
% 94.13/12.64 cnf(i_0_440, plain, (c_Orderings_Oord__class_Oless(tc_fun(X1,X2),X3,X4)|c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X4,X3)|~class_Orderings_Oord(X2)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4))).
% 94.13/12.64 cnf(i_0_1120, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~class_Rings_Olinordered__semidom(X3)|~c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)|~c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2)))).
% 94.13/12.64 cnf(i_0_1112, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~class_Rings_Olinordered__semidom(X3)|~c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2))|~c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4))).
% 94.13/12.64 cnf(i_0_261, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),X3)=c_Groups_Ouminus__class_Ouminus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3))|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_887, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk18_4(X1,X2,X3,X4))|~c_RealVector_Obounded__bilinear(X2,X3,X4,X1)|~class_RealVector_Oreal__normed__vector(X4)|~class_RealVector_Oreal__normed__vector(X3)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_132, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X4,X5))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X3),X5)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),X4)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_518, plain, (X1=c_Groups_Ouminus__class_Ouminus(X2,X3)|X1=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)|~class_Rings_Oidom(X2))).
% 94.13/12.64 cnf(i_0_650, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)),c_Groups_Ozero__class_Ozero(X2)))).
% 94.13/12.64 cnf(i_0_651, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)),c_Groups_Ozero__class_Ozero(X2)))).
% 94.13/12.64 cnf(i_0_1079, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_1302, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_647, plain, (~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)))))).
% 94.13/12.64 cnf(i_0_725, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_83, plain, (c_Groups_Ominus__class_Ominus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))|~class_Groups_Oab__group__add(X1))).
% 94.13/12.64 cnf(i_0_624, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))).
% 94.13/12.64 cnf(i_0_623, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))).
% 94.13/12.64 cnf(i_0_622, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 94.13/12.64 cnf(i_0_1390, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_945, plain, (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X2))=c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1164, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_544, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_514, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Rings_Oring(X1))).
% 94.13/12.64 cnf(i_0_621, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Rings_Olinordered__semiring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 94.13/12.64 cnf(i_0_620, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 94.13/12.64 cnf(i_0_619, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Rings_Olinordered__semiring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 94.13/12.64 cnf(i_0_539, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))).
% 94.13/12.64 cnf(i_0_532, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4))=c_RealVector_OscaleR__class_OscaleR(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3),X4)|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_538, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))).
% 94.13/12.64 cnf(i_0_537, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))).
% 94.13/12.64 cnf(i_0_540, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))).
% 94.13/12.64 cnf(i_0_543, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_515, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),c_Groups_Ouminus__class_Ouminus(X1,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)|~class_Rings_Oring(X1))).
% 94.13/12.64 cnf(i_0_1075, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X2)))).
% 94.13/12.64 cnf(i_0_546, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_545, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_770, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)))).
% 94.13/12.64 cnf(i_0_1301, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1061, plain, (c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),X3)|~class_RealVector_Oreal__normed__div__algebra(X1))).
% 94.13/12.64 cnf(i_0_1193, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)|c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1))!=X3|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3))).
% 94.13/12.64 cnf(i_0_88, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3))),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_105, plain, (c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))=c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_773, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))).
% 94.13/12.64 cnf(i_0_1077, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))).
% 94.13/12.64 cnf(i_0_1094, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_1192, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))|c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1))!=X3|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2))).
% 94.13/12.64 cnf(i_0_366, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X5))).
% 94.13/12.64 cnf(i_0_365, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X3,X5)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_1201, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 94.13/12.64 cnf(i_0_524, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)|~class_Rings_Olinordered__idom(X1))).
% 94.13/12.64 cnf(i_0_828, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk13_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_572, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))).
% 94.13/12.64 cnf(i_0_566, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))).
% 94.13/12.64 cnf(i_0_297, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X3,X5)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_1251, plain, (c_SEQ_OBseq(X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(X2,esk55_4(X2,X1,X3,X4)),c_Groups_Ouminus__class_Ouminus(X1,X4))),X3))).
% 94.13/12.64 cnf(i_0_834, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk14_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_640, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X3))).
% 94.13/12.64 cnf(i_0_638, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3))).
% 94.13/12.64 cnf(i_0_1283, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 94.13/12.64 cnf(i_0_184, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4))=c_RealVector_OscaleR__class_OscaleR(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3),X4)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_176, plain, (hAPP(hAPP(X1,X2),c_Groups_Ozero__class_Ozero(X3))=c_Groups_Ozero__class_Ozero(X4)|~c_RealVector_Obounded__bilinear(X5,X3,X4,X1)|~class_RealVector_Oreal__normed__vector(X4)|~class_RealVector_Oreal__normed__vector(X5)|~class_RealVector_Oreal__normed__vector(X3))).
% 94.13/12.64 cnf(i_0_177, plain, (hAPP(hAPP(X1,c_Groups_Ozero__class_Ozero(X2)),X3)=c_Groups_Ozero__class_Ozero(X4)|~c_RealVector_Obounded__bilinear(X2,X5,X4,X1)|~class_RealVector_Oreal__normed__vector(X4)|~class_RealVector_Oreal__normed__vector(X2)|~class_RealVector_Oreal__normed__vector(X5))).
% 94.13/12.64 cnf(i_0_1295, plain, (X1=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))).
% 94.13/12.64 cnf(i_0_693, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_1387, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))).
% 94.13/12.64 cnf(i_0_1388, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))).
% 94.13/12.64 cnf(i_0_1332, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1213, plain, (esk44_2(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2),X2)=X1|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))).
% 94.13/12.64 cnf(i_0_360, plain, (c_Groups_Oplus__class_Oplus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X4,X3))=c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4),X3)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_692, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_371, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_567, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))).
% 94.13/12.64 cnf(i_0_359, plain, (c_Groups_Oplus__class_Oplus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X4,X3))=c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4),X3)|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_642, plain, (c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_412, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X1,X2,X3),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X1,X4,X2),c_RealVector_Odist__class_Odist(X1,X4,X3)))|~class_RealVector_Ometric__space(X1))).
% 94.13/12.64 cnf(i_0_573, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))).
% 94.13/12.64 cnf(i_0_574, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))).
% 94.13/12.64 cnf(i_0_568, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))).
% 94.13/12.64 cnf(i_0_415, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X3,X4),X2))).
% 94.13/12.64 cnf(i_0_253, plain, (c_Groups_Oplus__class_Oplus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X2,X4))=c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_410, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X1,X2,X3),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X1,X2,X4),c_RealVector_Odist__class_Odist(X1,X4,X3)))|~class_RealVector_Ometric__space(X1))).
% 94.13/12.64 cnf(i_0_411, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X1,X2,X3),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Odist__class_Odist(X1,X2,X4),c_RealVector_Odist__class_Odist(X1,X3,X4)))|~class_RealVector_Ometric__space(X1))).
% 94.13/12.64 cnf(i_0_475, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3))=c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_RealVector_Oreal__normed__div__algebra(X1))).
% 94.13/12.64 cnf(i_0_512, plain, (c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Rings_Oring(X1))).
% 94.13/12.64 cnf(i_0_252, plain, (c_Groups_Oplus__class_Oplus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X2,X4))=c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_508, plain, (c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_513, plain, (c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)|~class_Rings_Oring(X1))).
% 94.13/12.64 cnf(i_0_1090, plain, (c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oabs__class_Oabs(X1,X2)),X3)|~class_Rings_Olinordered__idom(X1))).
% 94.13/12.64 cnf(i_0_191, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4))=c_RealVector_OscaleR__class_OscaleR(X1,X3,c_RealVector_OscaleR__class_OscaleR(X1,X2,X4))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1287, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1299, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_667, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2)),esk8_2(X3,X1)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_843, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2)),esk17_2(X3,X1)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_510, plain, (c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_1248, plain, (c_SEQ_OBseq(X1,X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(X2,esk52_4(X2,X1,X3,X4)),c_Groups_Ouminus__class_Ouminus(X1,hAPP(X2,X4)))),X3))).
% 94.13/12.64 cnf(i_0_254, plain, (c_Groups_Ominus__class_Ominus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X2,X4))=c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Ominus__class_Ominus(X1,X3,X4))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_193, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4))=c_RealVector_OscaleR__class_OscaleR(X1,X3,c_RealVector_OscaleR__class_OscaleR(X1,X2,X4))|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_903, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2)),esk25_2(X3,X1)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_468, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)|~class_Lattices_Oab__semigroup__idem__mult(X1))).
% 94.13/12.64 cnf(i_0_980, plain, (c_Groups_Oplus__class_Oplus(X1,X2,X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1))),X2)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_255, plain, (c_Groups_Ominus__class_Ominus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X2,X4))=c_RealVector_OscaleR__class_OscaleR(X1,X2,c_Groups_Ominus__class_Ominus(X1,X3,X4))|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_535, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_586, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_536, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_826, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk13_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_1384, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X2=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_1218, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Transcendental_Oln(X2))=c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X2),X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))).
% 94.13/12.64 cnf(i_0_832, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk14_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 94.13/12.64 cnf(i_0_523, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))=c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__idom(X1))).
% 94.13/12.64 cnf(i_0_976, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2))).
% 94.13/12.64 cnf(i_0_542, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_541, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_363, plain, (c_Groups_Ominus__class_Ominus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X4,X3))=c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X4),X3)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1268, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk66_2(X1,X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk65_3(X1,X2,X3))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_1389, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_602, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X3))).
% 94.13/12.64 cnf(i_0_600, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3))).
% 94.13/12.64 cnf(i_0_362, plain, (c_Groups_Ominus__class_Ominus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),c_RealVector_OscaleR__class_OscaleR(X1,X4,X3))=c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X4),X3)|~class_RealVector_Oreal__vector(X1))).
% 94.13/12.64 cnf(i_0_569, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)))).
% 94.13/12.64 cnf(i_0_575, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))).
% 94.13/12.64 cnf(i_0_1123, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2))).
% 94.13/12.64 cnf(i_0_104, plain, (c_Groups_Oabs__class_Oabs(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_551, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_547, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__cancel__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_560, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_93, plain, (hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,X2),X3,X4),X5)=c_Groups_Ominus__class_Ominus(X2,hAPP(X3,X5),hAPP(X4,X5))|~class_Groups_Ominus(X2))).
% 94.13/12.64 cnf(i_0_1038, plain, (hBOOL(hAPP(X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk38_2(X2,X1))))|hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,X2)))).
% 94.13/12.64 cnf(i_0_1194, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X3)))).
% 94.13/12.64 cnf(i_0_578, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_549, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Oordered__cancel__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_548, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Oordered__cancel__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_678, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_110, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_580, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_579, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_677, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1062, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),X3))|~class_RealVector_Oreal__normed__algebra__1(X1))).
% 94.13/12.64 cnf(i_0_888, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk19_2(X2,X1)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_907, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk28_2(X2,X1)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_922, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk33_2(X2,X1)))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_658, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__ring__strict(X1))).
% 94.13/12.64 cnf(i_0_528, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),c_RealVector_OscaleR__class_OscaleR(X1,X2,X4))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_525, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),X4)|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_775, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_1195, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 94.13/12.64 cnf(i_0_772, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)))).
% 94.13/12.64 cnf(i_0_1103, plain, (c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3))=c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__idom(X1))).
% 94.13/12.64 cnf(i_0_592, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=X4|c_Groups_Oplus__class_Oplus(X2,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3))!=c_Groups_Oplus__class_Oplus(X2,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2))).
% 94.13/12.64 cnf(i_0_990, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oone__class_Oone(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_989, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X2)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oone__class_Oone(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_122, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_1355, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)))).
% 94.13/12.64 cnf(i_0_744, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_94, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_459, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),c_RealVector_Onorm__class_Onorm(X1,X3)))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_769, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))).
% 94.13/12.64 cnf(i_0_529, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),c_RealVector_OscaleR__class_OscaleR(X1,X2,X4))|~class_RealVector_Oreal__algebra(X1))).
% 94.13/12.64 cnf(i_0_527, plain, (c_RealVector_OscaleR__class_OscaleR(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),X4)|~class_RealVector_Oreal__algebra(X1))).
% 94.13/12.64 cnf(i_0_637, plain, (c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),X3)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_84, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ominus__class_Ominus(X1,X4,X5))=c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))|~class_Groups_Oab__group__add(X1))).
% 94.13/12.64 cnf(i_0_111, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2)))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_1252, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(X2,X3),c_Groups_Ouminus__class_Ouminus(X1,esk54_2(X2,X1)))),esk53_2(X2,X1))|~c_SEQ_OBseq(X1,X2)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1260, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk58_3(X1,X2,X3),X3)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk59_3(X1,X2,X3),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X2,X3)))).
% 94.13/12.64 cnf(i_0_1264, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk60_3(X1,X2,X3),X3)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk61_3(X1,X2,X3),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X2,X3)))).
% 94.13/12.64 cnf(i_0_679, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_112, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3)),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_1118, plain, (X1=X2|hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X4)!=hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X4)|~class_Rings_Olinordered__semidom(X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4)|~c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)|~c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X1))).
% 94.13/12.64 cnf(i_0_1277, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_1275, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2))).
% 94.13/12.64 cnf(i_0_613, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X4,X3))).
% 94.13/12.64 cnf(i_0_1058, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),X2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))).
% 94.13/12.64 cnf(i_0_894, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk22_2(X2,X1)))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_911, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk30_2(X2,X1)))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_924, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk35_2(X2,X1)))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_467, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_583, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X4,X3))).
% 94.13/12.64 cnf(i_0_564, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X4,X2))).
% 94.13/12.64 cnf(i_0_892, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),esk21_2(X3,X1)))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_913, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),esk31_2(X3,X1)))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_925, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),esk36_2(X3,X1)))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_1281, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_611, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_1093, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_576, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_1115, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4))).
% 94.13/12.64 cnf(i_0_915, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(X2)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1))).
% 94.13/12.64 cnf(i_0_1274, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_1029, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_565, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_1105, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2))).
% 94.13/12.64 cnf(i_0_1121, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4))).
% 94.13/12.64 cnf(i_0_1273, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_652, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3)))|~class_Rings_Olinordered__ring(X1))).
% 94.13/12.64 cnf(i_0_1249, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(X2,X3),c_Groups_Ouminus__class_Ouminus(X1,hAPP(X2,esk51_2(X2,X1))))),esk50_2(X2,X1))|~c_SEQ_OBseq(X1,X2)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_669, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk9_1(X1))))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1279, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Power_Opower(X1))).
% 94.13/12.64 cnf(i_0_1113, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4))).
% 94.13/12.64 cnf(i_0_556, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X4,X3))).
% 94.13/12.64 cnf(i_0_555, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X4,X2))).
% 94.13/12.64 cnf(i_0_841, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk16_1(X1))))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_904, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk26_1(X1))))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_553, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Oordered__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_554, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Oordered__comm__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_552, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Oordered__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_588, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_589, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__comm__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,X4))).
% 94.13/12.64 cnf(i_0_587, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_1267, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),esk66_2(X2,X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk65_3(X2,X1,X4))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_460, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X5))|~class_RealVector_Oreal__normed__algebra(X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X3),X5)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),X4))).
% 94.13/12.64 cnf(i_0_113, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oabs__class_Oabs(X1,X2),c_Groups_Oabs__class_Oabs(X1,X3))),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_979, plain, (c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Oone__class_Oone(X1))),X2)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_1259, plain, (hAPP(X1,esk59_3(X2,X1,X3))=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk58_3(X2,X1,X3),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,hAPP(X1,X3)))).
% 94.13/12.64 cnf(i_0_1263, plain, (hAPP(X1,esk61_3(X2,X1,X3))=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk60_3(X2,X1,X3),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,hAPP(X1,X3)))).
% 94.13/12.64 cnf(i_0_1198, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X4)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X5)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2),X5),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X4))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 94.13/12.64 cnf(i_0_1196, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X4)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X4)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X1),X5),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2),X3))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5))).
% 94.13/12.64 cnf(i_0_978, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1))),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_795, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_785, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 94.13/12.64 cnf(i_0_1060, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_1276, plain, (X1=X2|hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat)))!=hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Rings_Olinordered__semidom(X3)|~c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)|~c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X1))).
% 94.13/12.64 cnf(i_0_495, plain, (X1=X2|X3=X4|c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X4))!=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X3))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5))).
% 94.13/12.64 cnf(i_0_1129, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3))).
% 94.13/12.64 cnf(i_0_1386, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1))).
% 94.13/12.64 cnf(i_0_1119, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oone__class_Oone(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X3))).
% 94.13/12.64 cnf(i_0_1082, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 94.13/12.64 cnf(i_0_466, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_473, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Groups_Oab__semigroup__mult(X1))).
% 94.13/12.64 cnf(i_0_1086, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Groups_Omonoid__mult(X1))).
% 94.13/12.64 cnf(i_0_1089, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))|~class_Groups_Omonoid__mult(X1))).
% 94.13/12.64 cnf(i_0_501, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_491, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_497, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_504, plain, (c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ominus__class_Ominus(X1,X3,X4))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_489, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X4)),X3)|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_357, plain, (hAPP(hAPP(X1,X2),c_Groups_Ouminus__class_Ouminus(X3,X4))=c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(X1,X2),X4))|~c_RealVector_Obounded__bilinear(X6,X3,X5,X1)|~class_RealVector_Oreal__normed__vector(X3)|~class_RealVector_Oreal__normed__vector(X5)|~class_RealVector_Oreal__normed__vector(X6))).
% 94.13/12.64 cnf(i_0_358, plain, (hAPP(hAPP(X1,c_Groups_Ouminus__class_Ouminus(X2,X3)),X4)=c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(X1,X3),X4))|~c_RealVector_Obounded__bilinear(X2,X6,X5,X1)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X5)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_633, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))=c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1)))).
% 94.13/12.64 cnf(i_0_634, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))=c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_502, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X4)),X3)|~class_Rings_Ocomm__semiring(X1))).
% 94.13/12.64 cnf(i_0_645, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)))|~class_Rings_Olinordered__ring__strict(X2))).
% 94.13/12.64 cnf(i_0_649, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(X1))),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1))).
% 94.13/12.64 cnf(i_0_646, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)))|~class_Rings_Olinordered__ring__strict(X2))).
% 94.13/12.64 cnf(i_0_635, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))=c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_636, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3))=c_Groups_Oabs__class_Oabs(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring__abs(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_1117, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X3))).
% 94.13/12.64 cnf(i_0_1069, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_992, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1))),c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Oone__class_Oone(X1)))=c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),c_Groups_Oone__class_Oone(X1))|~class_Rings_Oring__1(X1))).
% 94.13/12.64 cnf(i_0_890, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk20_1(X1))))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_909, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk29_1(X1))))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_923, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X3)),esk34_1(X1))))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_1278, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)|~class_Groups_Omonoid__mult(X1))).
% 94.13/12.64 cnf(i_0_506, plain, (c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X4)),X3)|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 cnf(i_0_175, plain, (hAPP(hAPP(X1,X2),c_RealVector_OscaleR__class_OscaleR(X3,X4,X5))=c_RealVector_OscaleR__class_OscaleR(X6,X4,hAPP(hAPP(X1,X2),X5))|~c_RealVector_Obounded__bilinear(X7,X3,X6,X1)|~class_RealVector_Oreal__normed__vector(X3)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X7))).
% 94.13/12.64 cnf(i_0_174, plain, (hAPP(hAPP(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)),X5)=c_RealVector_OscaleR__class_OscaleR(X6,X3,hAPP(hAPP(X1,X4),X5))|~c_RealVector_Obounded__bilinear(X2,X7,X6,X1)|~class_RealVector_Oreal__normed__vector(X7)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_628, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X3,X4)),X5),X6))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5),X2),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5),X6)))).
% 94.13/12.64 cnf(i_0_49, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4)),c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,X3,X5))))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_1282, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_558, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))|~class_Rings_Oordered__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X5)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_1067, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)|X3=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Power_Opower(X1))).
% 94.13/12.64 cnf(i_0_1102, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))|~class_Groups_Omonoid__mult(X1))).
% 94.13/12.64 cnf(i_0_630, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X3,X4)),X5),X6))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5),X2),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5),X6)))).
% 94.13/12.64 cnf(i_0_626, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4),X5),X6)|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X5),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X6)))).
% 94.13/12.64 cnf(i_0_632, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4),X5),X6)|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X5),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X6)))).
% 94.13/12.64 cnf(i_0_557, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))|~class_Rings_Oordered__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X5)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_1063, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_1269, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk64_2(X2,X1))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk63_3(X2,X1,X4))),X4))).
% 94.13/12.64 cnf(i_0_1179, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)))),X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 94.13/12.64 cnf(i_0_1043, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X4))))|c_Orderings_Oord__class_Oless__eq(X5,X4,esk39_4(X2,X4,X5,X1))|~class_Orderings_Oord(X5)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(X5,X4,X3))).
% 94.13/12.64 cnf(i_0_872, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)),X4),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_464, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_617, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X5))).
% 94.13/12.64 cnf(i_0_618, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,X5)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))).
% 94.13/12.64 cnf(i_0_616, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X3,X5)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_615, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless(X1,X3,X5)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 94.13/12.64 cnf(i_0_877, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3),X4),X5)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1292, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3))).
% 94.13/12.64 cnf(i_0_1066, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)|~class_Groups_Omonoid__mult(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))).
% 94.13/12.64 cnf(i_0_1106, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2))).
% 94.13/12.64 cnf(i_0_1178, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)))),X3)),X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 94.13/12.64 cnf(i_0_1257, plain, (hAPP(X1,esk59_3(X2,X1,X3))=X2|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk58_3(X2,X1,X3))),hAPP(X1,esk58_3(X2,X1,X3)))),c_Groups_Oone__class_Oone(tc_Int_Oint))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,hAPP(X1,X3)))).
% 94.13/12.64 cnf(i_0_1261, plain, (hAPP(X1,esk61_3(X2,X1,X3))=X2|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk60_3(X2,X1,X3))),hAPP(X1,esk60_3(X2,X1,X3)))),c_Groups_Oone__class_Oone(tc_Int_Oint))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,hAPP(X1,X3)))).
% 94.13/12.64 cnf(i_0_1258, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk59_3(X1,X2,X3),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk58_3(X1,X2,X3))),hAPP(X2,esk58_3(X1,X2,X3)))),c_Groups_Oone__class_Oone(tc_Int_Oint))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X2,X3)))).
% 94.13/12.64 cnf(i_0_1262, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk61_3(X1,X2,X3),X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk60_3(X1,X2,X3))),hAPP(X2,esk60_3(X1,X2,X3)))),c_Groups_Oone__class_Oone(tc_Int_Oint))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,hAPP(X2,X3)))).
% 94.13/12.64 cnf(i_0_1059, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_885, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)),X4),X5))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_883, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3),X4),X5)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))).
% 94.13/12.64 cnf(i_0_1211, plain, (hBOOL(hAPP(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4))))|~hBOOL(hAPP(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4,esk43_3(X3,X1,X4))))|~hBOOL(hAPP(X1,X2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 94.13/12.64 cnf(i_0_503, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X5))=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X4)),X3),X5)|~class_Rings_Osemiring(X1))).
% 94.13/12.64 cnf(i_0_494, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1))).
% 94.13/12.64 cnf(i_0_1087, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Groups_Ocomm__monoid__mult(X1))).
% 94.13/12.64 cnf(i_0_599, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oabs__class_Oabs(X1,X2)),c_Groups_Oabs__class_Oabs(X1,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X3),X5)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X2),X4))).
% 94.13/12.64 cnf(i_0_1207, plain, (hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4))))|~hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,esk42_3(X3,X1,X4),X4)))|~hBOOL(hAPP(X1,X2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 94.13/12.64 cnf(i_0_1116, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_596, plain, (X1=c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),c_Groups_Ominus__class_Ominus(X2,X3,X4)),X5),X6)|c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X5),X1)!=c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X5),X6)|~class_Rings_Oring(X2))).
% 94.13/12.64 cnf(i_0_1110, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ouminus__class_Ouminus(X1,X3)),X2)|~class_Rings_Oring__1(X1))).
% 94.13/12.64 cnf(i_0_1212, plain, (hBOOL(hAPP(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4))))|hBOOL(hAPP(X1,esk43_3(X3,X1,X4)))|~hBOOL(hAPP(X1,X2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 94.13/12.64 cnf(i_0_627, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3),X6)))).
% 94.13/12.64 cnf(i_0_625, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3),X4),X6))).
% 94.13/12.64 cnf(i_0_123, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4)),c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X3,X5))))|~class_Groups_Oordered__ab__group__add__abs(X1))).
% 94.13/12.64 cnf(i_0_353, plain, (hAPP(hAPP(X1,X2),c_Groups_Oplus__class_Oplus(X3,X4,X5))=c_Groups_Oplus__class_Oplus(X6,hAPP(hAPP(X1,X2),X4),hAPP(hAPP(X1,X2),X5))|~c_RealVector_Obounded__bilinear(X7,X3,X6,X1)|~class_RealVector_Oreal__normed__vector(X3)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X7))).
% 94.13/12.64 cnf(i_0_355, plain, (hAPP(hAPP(X1,X2),c_Groups_Ominus__class_Ominus(X3,X4,X5))=c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(X1,X2),X4),hAPP(hAPP(X1,X2),X5))|~c_RealVector_Obounded__bilinear(X7,X3,X6,X1)|~class_RealVector_Oreal__normed__vector(X3)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X7))).
% 94.13/12.64 cnf(i_0_352, plain, (hAPP(hAPP(X1,c_Groups_Oplus__class_Oplus(X2,X3,X4)),X5)=c_Groups_Oplus__class_Oplus(X6,hAPP(hAPP(X1,X3),X5),hAPP(hAPP(X1,X4),X5))|~c_RealVector_Obounded__bilinear(X2,X7,X6,X1)|~class_RealVector_Oreal__normed__vector(X7)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_356, plain, (hAPP(hAPP(X1,c_Groups_Ominus__class_Ominus(X2,X3,X4)),X5)=c_Groups_Ominus__class_Ominus(X6,hAPP(hAPP(X1,X3),X5),hAPP(hAPP(X1,X4),X5))|~c_RealVector_Obounded__bilinear(X2,X7,X6,X1)|~class_RealVector_Oreal__normed__vector(X7)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X2))).
% 94.13/12.64 cnf(i_0_869, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)),X4),X5)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4),X1)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X4),X5)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2))).
% 94.13/12.64 cnf(i_0_871, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X1)),X2),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X4))).
% 94.13/12.64 cnf(i_0_876, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X4)),X2),X3),X5)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X1))).
% 94.13/12.64 cnf(i_0_1208, plain, (hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4))))|hBOOL(hAPP(X1,esk42_3(X3,X1,X4)))|~hBOOL(hAPP(X1,X2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 94.13/12.64 cnf(i_0_629, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3),X6)))).
% 94.13/12.64 cnf(i_0_631, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3),X4),X6))).
% 94.13/12.64 cnf(i_0_994, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X6)|c_Groups_Oplus__class_Oplus(X1,X2,X4)!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__semiring__1(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X5,X6)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X6))).
% 94.13/12.64 cnf(i_0_1004, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X6)|c_Groups_Oplus__class_Oplus(X1,X2,X4)!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__semiring__1__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X5,X6)|~c_Orderings_Oord__class_Oless(X1,X3,X6)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 94.13/12.64 cnf(i_0_593, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ominus__class_Ominus(X1,X3,X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X4))=c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X4))|~class_Rings_Oring(X1))).
% 94.13/12.64 cnf(i_0_1042, plain, (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X4))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(X2,X4),hAPP(X2,esk39_4(X2,X4,X5,X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|~class_Orderings_Oord(X5)|~class_RealVector_Oreal__normed__vector(X1)|~c_Orderings_Oord__class_Oless__eq(X5,X4,X3))).
% 94.13/12.64 cnf(i_0_595, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X4,X2)),X3),X5))=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X5)|~class_Rings_Oring(X1))).
% 94.13/12.64 cnf(i_0_870, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2),X5))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X1)),X2),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X4))).
% 94.13/12.64 cnf(i_0_1197, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X4)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X2),X6)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X6,X5)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X2),X6))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5,X3))).
% 94.13/12.64 cnf(i_0_1199, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2),X4)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X1),X6)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X1),X6),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X6)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5,X3))).
% 94.13/12.64 cnf(i_0_875, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2),X5))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X4)),X2),X3),X5)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X1))).
% 94.13/12.64 cnf(i_0_868, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))),X3),X4)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X4)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2))).
% 94.13/12.64 cnf(i_0_884, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2),X5))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X1)),X2),X5))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X4))).
% 94.13/12.64 cnf(i_0_882, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4),X2),X5))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X4)),X2),X3),X5)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X1))).
% 94.13/12.64 cnf(i_0_461, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Ocomm__semiring__1(X1))).
% 94.13/12.64 cnf(i_0_917, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X4)),esk32_4(X2,X5,X6,X1))))|~c_RealVector_Obounded__bilinear(X5,X6,X1,X2)|~class_RealVector_Oreal__normed__vector(X5)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_886, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X4)),esk18_4(X2,X5,X6,X1))))|~c_RealVector_Obounded__bilinear(X5,X6,X1,X2)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X5)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_905, plain, (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X4)),esk27_4(X2,X5,X6,X1))))|~c_RealVector_Obounded__bilinear(X5,X6,X1,X2)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X5)|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_135, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X3),c_Groups_Ominus__class_Ominus(X1,X4,X5)),c_RealVector_OscaleR__class_OscaleR(X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X3),X5)),c_RealVector_OscaleR__class_OscaleR(X1,X3,c_Groups_Ominus__class_Ominus(X1,X4,X5)))=c_Groups_Ominus__class_Ominus(X1,c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X5))|~class_RealVector_Oreal__normed__vector(X1))).
% 94.13/12.64 cnf(i_0_137, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(X2,c_Groups_Ominus__class_Ominus(X3,X4,X5)),c_Groups_Ominus__class_Ominus(X6,X7,X8)),hAPP(hAPP(X2,c_Groups_Ominus__class_Ominus(X3,X4,X5)),X8)),hAPP(hAPP(X2,X5),c_Groups_Ominus__class_Ominus(X6,X7,X8)))=c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(X2,X4),X7),hAPP(hAPP(X2,X5),X8))|~c_RealVector_Obounded__bilinear(X3,X6,X1,X2)|~class_RealVector_Oreal__normed__vector(X6)|~class_RealVector_Oreal__normed__vector(X1)|~class_RealVector_Oreal__normed__vector(X3))).
% 94.13/12.64 cnf(i_0_594, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Ominus__class_Ominus(X1,X4,X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),c_Groups_Ominus__class_Ominus(X1,X4,X5)))=c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_RealVector_Oreal__normed__algebra(X1))).
% 94.13/12.64 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 94.13/12.64 # Begin printing tableau
% 94.13/12.64 # Found 8 steps
% 94.13/12.64 cnf(i_0_1593, negated_conjecture, (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)))), inference(start_rule)).
% 94.13/12.64 cnf(i_0_1738, plain, (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)))), inference(extension_rule, [i_0_52])).
% 94.13/12.64 cnf(i_0_2449, plain, (~class_Orderings_Oorder(tc_RealDef_Oreal)), inference(closure_rule, [i_0_1544])).
% 94.13/12.64 cnf(i_0_2450, plain, (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)))), inference(extension_rule, [i_0_314])).
% 94.13/12.64 cnf(i_0_2451, plain, (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)))), inference(closure_rule, [i_0_15])).
% 94.13/12.64 cnf(i_0_326363, plain, (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)))), inference(extension_rule, [i_0_295])).
% 94.13/12.64 cnf(i_0_510931, plain, (~class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)), inference(closure_rule, [i_0_1495])).
% 94.13/12.64 cnf(i_0_510930, plain, (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X8,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X8,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))))), inference(etableau_closure_rule, [i_0_510930, ...])).
% 94.13/12.64 # End printing tableau
% 94.13/12.64 # SZS output end
% 94.13/12.64 # Branches closed with saturation will be marked with an "s"
% 94.13/12.66 # Child (19787) has found a proof.
% 94.13/12.66
% 94.13/12.66 # Proof search is over...
% 94.13/12.66 # Freeing feature tree
%------------------------------------------------------------------------------