TSTP Solution File: SWW246+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWW246+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 : n023.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 00:12:13 EDT 2022
% Result : Theorem 89.41s 11.84s
% Output : CNFRefutation 89.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW246+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 5 21:03:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.44/0.62 # No SInE strategy applied
% 0.44/0.62 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.44/0.62 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.44/0.62 #
% 0.44/0.62 # Presaturation interreduction done
% 0.44/0.62 # Number of axioms: 1507 Number of unprocessed: 1241
% 0.44/0.62 # Tableaux proof search.
% 0.44/0.62 # APR header successfully linked.
% 0.44/0.62 # Hello from C++
% 0.48/0.66 # The folding up rule is enabled...
% 0.48/0.66 # Local unification is enabled...
% 0.48/0.66 # Any saturation attempts will use folding labels...
% 0.48/0.66 # 1241 beginning clauses after preprocessing and clausification
% 0.48/0.66 # Creating start rules for all 1 conjectures.
% 0.48/0.66 # There are 1 start rule candidates:
% 0.48/0.66 # Found 227 unit axioms.
% 0.48/0.66 # 1 start rule tableaux created.
% 0.48/0.66 # 1014 extension rule candidate clauses
% 0.48/0.66 # 227 unit axiom clauses
% 0.48/0.66
% 0.48/0.66 # Requested 8, 32 cores available to the main process.
% 0.48/0.66 # There are not enough tableaux to fork, creating more from the initial 1
% 0.48/0.66 # Returning from population with 49 new_tableaux and 0 remaining starting tableaux.
% 0.48/0.66 # We now have 49 tableaux to operate on
% 89.41/11.84 # There were 3 total branch saturation attempts.
% 89.41/11.84 # There were 0 of these attempts blocked.
% 89.41/11.84 # There were 0 deferred branch saturation attempts.
% 89.41/11.84 # There were 0 free duplicated saturations.
% 89.41/11.84 # There were 3 total successful branch saturations.
% 89.41/11.84 # There were 0 successful branch saturations in interreduction.
% 89.41/11.84 # There were 0 successful branch saturations on the branch.
% 89.41/11.84 # There were 3 successful branch saturations after the branch.
% 89.41/11.84 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 89.41/11.84 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 89.41/11.84 # Begin clausification derivation
% 89.41/11.84
% 89.41/11.84 # End clausification derivation
% 89.41/11.84 # Begin listing active clauses obtained from FOF to CNF conversion
% 89.41/11.84 cnf(i_0_1592, hypothesis, (class_Rings_Oidom(t_a))).
% 89.41/11.84 cnf(i_0_465, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_1481, plain, (class_Rings_Oidom(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1517, plain, (class_Groups_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1499, plain, (class_Rings_Ocomm__semiring__0(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1479, plain, (class_Groups_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1516, plain, (class_Power_Opower(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1453, plain, (class_Rings_Ocomm__semiring__0(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1478, plain, (class_Power_Opower(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1510, plain, (class_Rings_Osemiring__0(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_119, 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))).
% 89.41/11.84 cnf(i_0_118, 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))).
% 89.41/11.84 cnf(i_0_1498, plain, (class_Rings_Ocomm__semiring__1(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1507, plain, (class_Groups_Omonoid__mult(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1466, plain, (class_Rings_Osemiring__0(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1511, plain, (class_Rings_Omult__zero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1452, plain, (class_Rings_Ocomm__semiring__1(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1462, plain, (class_Groups_Omonoid__mult(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1469, plain, (class_Rings_Omult__zero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1496, plain, (class_Rings_Ono__zero__divisors(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1504, plain, (class_Rings_Ozero__neq__one(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1497, plain, (class_Groups_Ocomm__monoid__add(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1484, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1494, plain, (class_Groups_Ocomm__monoid__mult(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1493, plain, (class_Groups_Oab__semigroup__mult(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1448, plain, (class_Rings_Ono__zero__divisors(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1495, plain, (class_Groups_Oab__semigroup__add(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1458, plain, (class_Rings_Ozero__neq__one(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1449, plain, (class_Groups_Ocomm__monoid__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1472, plain, (class_Int_Oring__char__0(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1431, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1491, plain, (class_Groups_Ocancel__semigroup__add(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1490, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1518, plain, (class_Groups_Oone(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1508, plain, (class_Groups_Omonoid__add(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1501, plain, (class_Rings_Ocomm__semiring(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1439, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1513, plain, (class_Rings_Osemiring(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1446, plain, (class_Groups_Ocomm__monoid__mult(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1440, plain, (class_Rings_Olinordered__ring__strict(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1445, plain, (class_Groups_Oab__semigroup__mult(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1447, plain, (class_Groups_Oab__semigroup__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1515, plain, (class_Groups_Ominus(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1519, plain, (class_Rings_Odvd(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1502, plain, (class_Orderings_Owellorder(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1500, plain, (class_Divides_Osemiring__div(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1503, plain, (class_Nat_Osemiring__char__0(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1443, plain, (class_Groups_Ocancel__semigroup__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1509, plain, (class_Rings_Osemiring__1(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1438, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1482, plain, (class_Groups_Oone(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1464, plain, (class_Groups_Omonoid__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1437, plain, (class_Groups_Olinordered__ab__group__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1492, plain, (class_Rings_Olinordered__semidom(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1487, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1488, plain, (class_Rings_Olinordered__semiring__strict(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1489, plain, (class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1486, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1455, plain, (class_Rings_Ocomm__semiring(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1485, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1473, plain, (class_Rings_Osemiring(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1463, plain, (class_Rings_Ocomm__ring__1(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1441, plain, (class_Rings_Oring__no__zero__divisors(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1457, plain, (class_Groups_Oab__group__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1505, plain, (class_Orderings_Opreorder(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1506, plain, (class_Orderings_Olinorder(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1512, plain, (class_Orderings_Oorder(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1514, plain, (class_Orderings_Oord(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1423, plain, (class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1470, plain, (class_Rings_Ocomm__ring(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1467, plain, (class_Groups_Ogroup__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1480, plain, (class_Rings_Oring(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1476, plain, (class_Rings_Oring__1(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1477, plain, (class_Groups_Ominus(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1525, plain, (class_Groups_Ominus(tc_HOL_Obool))).
% 89.41/11.84 cnf(i_0_1520, plain, (class_Lattices_Oboolean__algebra(tc_HOL_Obool))).
% 89.41/11.84 cnf(i_0_96, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)).
% 89.41/11.84 cnf(i_0_1475, plain, (class_Groups_Ouminus(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1524, plain, (class_Groups_Ouminus(tc_HOL_Obool))).
% 89.41/11.84 cnf(i_0_1483, plain, (class_Rings_Odvd(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1454, plain, (class_Divides_Osemiring__div(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1468, plain, (class_Divides_Oring__div(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1456, plain, (class_Nat_Osemiring__char__0(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1465, plain, (class_Rings_Osemiring__1(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_142, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=X1)).
% 89.41/11.84 cnf(i_0_97, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=X1)).
% 89.41/11.84 cnf(i_0_138, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)=X1)).
% 89.41/11.84 cnf(i_0_1444, plain, (class_Rings_Olinordered__semidom(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1434, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1435, plain, (class_Rings_Olinordered__semiring__strict(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1450, plain, (class_Rings_Olinordered__ring(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1436, plain, (class_Groups_Oordered__comm__monoid__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1451, plain, (class_Rings_Olinordered__idom(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1442, plain, (class_Groups_Oordered__ab__group__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1433, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1432, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1460, plain, (class_Orderings_Opreorder(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1521, plain, (class_Orderings_Opreorder(tc_HOL_Obool))).
% 89.41/11.84 cnf(i_0_1461, plain, (class_Orderings_Olinorder(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1471, plain, (class_Orderings_Oorder(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1522, plain, (class_Orderings_Oorder(tc_HOL_Obool))).
% 89.41/11.84 cnf(i_0_1474, plain, (class_Orderings_Oord(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1523, plain, (class_Orderings_Oord(tc_HOL_Obool))).
% 89.41/11.84 cnf(i_0_1459, plain, (class_Rings_Oordered__ring(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1424, plain, (class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_891, plain, (c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_277, plain, (hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_894, plain, (c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1579, plain, (hAPP(c_COMBI(X1),X2)=X2)).
% 89.41/11.84 cnf(i_0_309, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_276, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1)).
% 89.41/11.84 cnf(i_0_275, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_730, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_402, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_500, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_713, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1351, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)).
% 89.41/11.84 cnf(i_0_360, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1)).
% 89.41/11.84 cnf(i_0_253, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))=X1)).
% 89.41/11.84 cnf(i_0_359, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)=X1)).
% 89.41/11.84 cnf(i_0_1352, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_714, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_254, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)=X1)).
% 89.41/11.84 cnf(i_0_911, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)))).
% 89.41/11.84 cnf(i_0_1344, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1268, 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)))).
% 89.41/11.84 cnf(i_0_668, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 89.41/11.84 cnf(i_0_669, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)))).
% 89.41/11.84 cnf(i_0_910, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X1)))).
% 89.41/11.84 cnf(i_0_624, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X1)))).
% 89.41/11.84 cnf(i_0_298, plain, (hAPP(c_Nat_Onat_Onat__case(X1,X2,X3),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)).
% 89.41/11.84 cnf(i_0_1585, plain, (hBOOL(hAPP(c_fequal(X1),X1)))).
% 89.41/11.84 cnf(i_0_499, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1))=X1)).
% 89.41/11.84 cnf(i_0_1580, plain, (hAPP(hAPP(c_COMBK(X1,X2),X3),X4)=X3)).
% 89.41/11.84 cnf(i_0_297, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_104, plain, (hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2)).
% 89.41/11.84 cnf(i_0_282, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X2)=X1)).
% 89.41/11.84 cnf(i_0_281, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X1)=X2)).
% 89.41/11.84 cnf(i_0_726, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1353, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_405, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_406, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2)=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_407, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2)=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_421, plain, (hAPP(c_Nat_Onat_Onat__case(X1,X2,X3),hAPP(c_Nat_OSuc,X4))=hAPP(X3,X4))).
% 89.41/11.84 cnf(i_0_1121, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))))).
% 89.41/11.84 cnf(i_0_1122, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))))).
% 89.41/11.84 cnf(i_0_467, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))).
% 89.41/11.84 cnf(i_0_466, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X2)),X1))).
% 89.41/11.84 cnf(i_0_131, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))).
% 89.41/11.84 cnf(i_0_102, 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)))).
% 89.41/11.84 cnf(i_0_1143, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),hAPP(c_Nat_OSuc,X1)))).
% 89.41/11.84 cnf(i_0_724, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_863, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1))=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(c_Nat_OSuc,X1)))).
% 89.41/11.84 cnf(i_0_413, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))).
% 89.41/11.84 cnf(i_0_1275, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 89.41/11.84 cnf(i_0_136, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))).
% 89.41/11.84 cnf(i_0_326, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2))).
% 89.41/11.84 cnf(i_0_363, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_137, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2))).
% 89.41/11.84 cnf(i_0_849, plain, (c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)),X2))).
% 89.41/11.84 cnf(i_0_723, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2))).
% 89.41/11.84 cnf(i_0_1582, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X4,X6),X5))).
% 89.41/11.84 cnf(i_0_1345, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2)=c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))).
% 89.41/11.84 cnf(i_0_278, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3))).
% 89.41/11.84 cnf(i_0_279, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))).
% 89.41/11.84 cnf(i_0_1289, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(c_Nat_OSuc,X2)))))).
% 89.41/11.84 cnf(i_0_719, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2))).
% 89.41/11.84 cnf(i_0_1384, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2)))).
% 89.41/11.84 cnf(i_0_1294, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(c_Nat_OSuc,X1))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 89.41/11.84 cnf(i_0_1581, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))).
% 89.41/11.84 cnf(i_0_473, plain, (hAPP(c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)))).
% 89.41/11.84 cnf(i_0_232, 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)))).
% 89.41/11.84 cnf(i_0_280, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))).
% 89.41/11.84 cnf(i_0_717, plain, (c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3)))).
% 89.41/11.84 cnf(i_0_718, plain, (c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X3)),X2))).
% 89.41/11.84 cnf(i_0_408, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)))).
% 89.41/11.84 cnf(i_0_776, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))).
% 89.41/11.84 cnf(i_0_284, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))).
% 89.41/11.84 cnf(i_0_283, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X3)),X2))).
% 89.41/11.84 cnf(i_0_364, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))).
% 89.41/11.84 cnf(i_0_249, 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)))).
% 89.41/11.84 cnf(i_0_733, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,X3),X2))).
% 89.41/11.84 cnf(i_0_844, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_838, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_154, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)),X4))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)),X2)),X4))).
% 89.41/11.84 cnf(i_0_1266, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(c_Nat_OSuc,X1))),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2)))).
% 89.41/11.84 cnf(i_0_711, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))).
% 89.41/11.84 cnf(i_0_712, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))).
% 89.41/11.84 cnf(i_0_710, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2))).
% 89.41/11.84 cnf(i_0_230, 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3)))).
% 89.41/11.84 cnf(i_0_358, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)))).
% 89.41/11.84 cnf(i_0_1338, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))).
% 89.41/11.84 cnf(i_0_1337, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))=X1)).
% 89.41/11.84 cnf(i_0_250, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))).
% 89.41/11.84 cnf(i_0_248, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)),X2))).
% 89.41/11.84 cnf(i_0_715, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3))).
% 89.41/11.84 cnf(i_0_720, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X3),X2))).
% 89.41/11.84 cnf(i_0_426, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X1),X2),X5))=hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X1),X2),hAPP(c_Nat_OSuc,X5)))).
% 89.41/11.84 cnf(i_0_708, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2),X3))).
% 89.41/11.84 cnf(i_0_709, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X3),X2))).
% 89.41/11.84 cnf(i_0_1387, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2),X3)))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))).
% 89.41/11.84 cnf(i_0_403, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))).
% 89.41/11.84 cnf(i_0_404, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X3)),X2))).
% 89.41/11.84 cnf(i_0_839, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2)),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))),X3))).
% 89.41/11.84 cnf(i_0_1388, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3)),X3))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3))).
% 89.41/11.84 cnf(i_0_1336, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3))),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3))).
% 89.41/11.84 cnf(i_0_1350, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X3,X2)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X2)),X2)))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3),X2))).
% 89.41/11.84 cnf(i_0_129, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))).
% 89.41/11.84 cnf(i_0_101, 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))).
% 89.41/11.84 cnf(i_0_361, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X1))).
% 89.41/11.84 cnf(i_0_251, 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))).
% 89.41/11.84 cnf(i_0_130, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)))).
% 89.41/11.84 cnf(i_0_1583, plain, (hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),hAPP(X5,X6)))).
% 89.41/11.84 cnf(i_0_362, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X3)))).
% 89.41/11.84 cnf(i_0_1339, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))).
% 89.41/11.84 cnf(i_0_367, plain, (c_Groups_Oone__class_Oone(tc_Int_Oint)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_393, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,X1))).
% 89.41/11.84 cnf(i_0_988, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1))).
% 89.41/11.84 cnf(i_0_344, plain, (hAPP(c_Nat_OSuc,X1)!=X1)).
% 89.41/11.84 cnf(i_0_908, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_83, plain, (~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))).
% 89.41/11.84 cnf(i_0_2, plain, (~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,v_p)))).
% 89.41/11.84 cnf(i_0_1014, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X2))).
% 89.41/11.84 cnf(i_0_1015, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1))).
% 89.41/11.84 cnf(i_0_1270, plain, (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 89.41/11.84 cnf(i_0_1283, plain, (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))))).
% 89.41/11.84 cnf(i_0_357, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_187, plain, (c_Groups_Oone__class_Oone(X1)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ozero__neq__one(X1))).
% 89.41/11.84 cnf(i_0_94, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_95, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_140, plain, (X1=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_141, plain, (X1=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_1417, plain, (class_Groups_Ozero(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1400, plain, (class_Rings_Ocomm__semiring__0(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_92, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=X2)).
% 89.41/11.84 cnf(i_0_1416, plain, (class_Power_Opower(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1408, plain, (class_Rings_Osemiring__0(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1399, plain, (class_Rings_Ocomm__semiring__1(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1404, plain, (class_Groups_Omonoid__mult(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1410, plain, (class_Rings_Omult__zero(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1397, plain, (class_Rings_Ono__zero__divisors(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1403, plain, (class_Rings_Ozero__neq__one(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1398, plain, (class_Groups_Ocomm__monoid__add(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1389, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1391, plain, (class_Rings_Oring__1__no__zero__divisors(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1395, plain, (class_Groups_Ocomm__monoid__mult(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1394, plain, (class_Groups_Oab__semigroup__mult(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1396, plain, (class_Groups_Oab__semigroup__add(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1393, plain, (class_Groups_Ocancel__semigroup__add(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1390, plain, (class_Groups_Ocancel__ab__semigroup__add(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1419, plain, (class_Groups_Oone(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1406, plain, (class_Groups_Omonoid__add(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_833, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_122, 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))).
% 89.41/11.84 cnf(i_0_1401, plain, (class_Rings_Ocomm__semiring(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1412, plain, (class_Rings_Osemiring(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1405, plain, (class_Rings_Ocomm__ring__1(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1392, plain, (class_Rings_Oring__no__zero__divisors(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1402, plain, (class_Groups_Oab__group__add(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1411, plain, (class_Rings_Ocomm__ring(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1409, plain, (class_Groups_Ogroup__add(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1418, plain, (class_Rings_Oring(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1414, plain, (class_Rings_Oring__1(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1415, plain, (class_Groups_Ominus(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1413, plain, (class_Groups_Ouminus(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1420, plain, (class_Rings_Odvd(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1407, plain, (class_Rings_Osemiring__1(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1421, plain, (class_Groups_Ocancel__comm__monoid__add(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1576, plain, (class_Rings_Oidom(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1034, plain, (~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X2))).
% 89.41/11.84 cnf(i_0_1586, plain, (~hBOOL(hAPP(c_fNot,X1))|~hBOOL(X1))).
% 89.41/11.84 cnf(i_0_1307, plain, (~c_Polynomial_Opos__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1574, plain, (class_Groups_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1111, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 89.41/11.84 cnf(i_0_1035, plain, (~class_Orderings_Olinorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X2))).
% 89.41/11.84 cnf(i_0_1548, plain, (class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1045, plain, (~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X2))).
% 89.41/11.84 cnf(i_0_1573, plain, (class_Power_Opower(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_585, plain, (X1=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))).
% 89.41/11.84 cnf(i_0_1561, plain, (class_Rings_Osemiring__0(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1547, plain, (class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1557, plain, (class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_796, plain, (c_Nat_Osemiring__1__class_Oof__nat(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Osemiring__1(X1))).
% 89.41/11.84 cnf(i_0_829, plain, (c_Nat_Osemiring__1__class_Oof__nat(X1,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Osemiring__1(X1))).
% 89.41/11.84 cnf(i_0_981, 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))).
% 89.41/11.84 cnf(i_0_1564, plain, (class_Rings_Omult__zero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1543, plain, (class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1553, plain, (class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1544, plain, (class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_1567, plain, (class_Int_Oring__char__0(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_453, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)!=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_1526, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1534, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1541, plain, (class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1535, plain, (class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1540, plain, (class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1542, plain, (class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_1538, plain, (class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocancel__comm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_1533, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocancel__comm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_1577, plain, (class_Groups_Oone(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1559, plain, (class_Groups_Omonoid__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_1532, plain, (class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1550, plain, (class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1568, plain, (class_Rings_Osemiring(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1558, plain, (class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.84 cnf(i_0_1536, plain, (class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1552, plain, (class_Groups_Oab__group__add(tc_Polynomial_Opoly(X1))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_1565, plain, (class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.84 cnf(i_0_1562, plain, (class_Groups_Ogroup__add(tc_Polynomial_Opoly(X1))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_1575, plain, (class_Rings_Oring(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.84 cnf(i_0_1571, plain, (class_Rings_Oring__1(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.84 cnf(i_0_1572, plain, (class_Groups_Ominus(tc_Polynomial_Opoly(X1))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_1570, plain, (class_Groups_Ouminus(tc_Polynomial_Opoly(X1))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_1578, plain, (class_Rings_Odvd(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1549, plain, (class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1563, plain, (class_Divides_Oring__div(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1551, plain, (class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1560, plain, (class_Rings_Osemiring__1(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1539, plain, (class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1529, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1530, plain, (class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1545, plain, (class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1531, plain, (class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1546, plain, (class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1537, plain, (class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1528, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1527, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1555, plain, (class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1556, plain, (class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1566, plain, (class_Orderings_Oorder(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1569, plain, (class_Orderings_Oord(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1554, plain, (class_Rings_Oordered__ring(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1422, plain, (class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocancel__comm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_959, plain, (~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1584, plain, (X1=X2|~hBOOL(hAPP(c_fequal(X1),X2)))).
% 89.41/11.84 cnf(i_0_1383, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X2)|~class_Orderings_Opreorder(X1))).
% 89.41/11.84 cnf(i_0_91, plain, (X1=hAPP(c_Nat_OSuc,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),X2),X1)!=X2)).
% 89.41/11.84 cnf(i_0_1587, plain, (hBOOL(hAPP(c_fNot,X1))|hBOOL(X1))).
% 89.41/11.84 cnf(i_0_1093, plain, (~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1590, plain, (hBOOL(X1)|~hBOOL(hAPP(hAPP(c_fconj,X2),X1)))).
% 89.41/11.84 cnf(i_0_1589, plain, (hBOOL(X1)|~hBOOL(hAPP(hAPP(c_fconj,X1),X2)))).
% 89.41/11.84 cnf(i_0_1030, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 89.41/11.84 cnf(i_0_353, plain, (X1=X2|hAPP(c_Nat_OSuc,X1)!=hAPP(c_Nat_OSuc,X2))).
% 89.41/11.84 cnf(i_0_1046, plain, (~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X3,X2))).
% 89.41/11.84 cnf(i_0_4, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X2))).
% 89.41/11.84 cnf(i_0_371, plain, (hAPP(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))).
% 89.41/11.84 cnf(i_0_1039, plain, (~class_Orderings_Olinorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X3,X2))).
% 89.41/11.84 cnf(i_0_1051, plain, (~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X3,X2))).
% 89.41/11.84 cnf(i_0_1430, plain, (class_Groups_Ominus(tc_fun(X1,X2))|~class_Groups_Ominus(X2))).
% 89.41/11.84 cnf(i_0_1425, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 89.41/11.84 cnf(i_0_1429, plain, (class_Groups_Ouminus(tc_fun(X1,X2))|~class_Groups_Ouminus(X2))).
% 89.41/11.84 cnf(i_0_1426, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 89.41/11.84 cnf(i_0_1427, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 89.41/11.84 cnf(i_0_1428, plain, (class_Orderings_Oord(tc_fun(X1,X2))|~class_Orderings_Oord(X2))).
% 89.41/11.84 cnf(i_0_290, plain, (c_Polynomial_Odegree(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_71, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_3, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1060, plain, (~c_Orderings_Oord__class_Oless(X1,X2,c_Orderings_Oord__class_OLeast(X1,X3))|~class_Orderings_Owellorder(X1)|~hBOOL(hAPP(X3,X2)))).
% 89.41/11.84 cnf(i_0_870, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)!=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))).
% 89.41/11.84 cnf(i_0_203, plain, (X1=X2|c_Polynomial_Ocoeff(X3,X1)!=c_Polynomial_Ocoeff(X3,X2)|~class_Groups_Ozero(X3))).
% 89.41/11.84 cnf(i_0_299, plain, (c_Polynomial_Odegree(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_452, plain, (X1=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_455, plain, (X1=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)!=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_401, plain, (X1=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)!=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_368, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_791, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X3,X1)!=c_Nat_Osemiring__1__class_Oof__nat(X3,X2)|~class_Nat_Osemiring__char__0(X3))).
% 89.41/11.84 cnf(i_0_372, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1)!=X1|~class_Groups_Olinordered__ab__group__add(X2))).
% 89.41/11.84 cnf(i_0_133, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))).
% 89.41/11.84 cnf(i_0_135, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))).
% 89.41/11.84 cnf(i_0_523, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_1340, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_168, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Polynomial_Omonom(X2,X1,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2))).
% 89.41/11.84 cnf(i_0_1017, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2))).
% 89.41/11.84 cnf(i_0_877, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),X4,X1)|~class_Fields_Ofield(X3))).
% 89.41/11.84 cnf(i_0_946, 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)))).
% 89.41/11.84 cnf(i_0_598, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_531, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_166, plain, (X1=X2|c_Polynomial_Omonom(X3,X1,X4)!=c_Polynomial_Omonom(X3,X2,X4)|~class_Groups_Ozero(X3))).
% 89.41/11.84 cnf(i_0_374, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(c_Groups_Ouminus__class_Ouminus(X2),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))).
% 89.41/11.84 cnf(i_0_522, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(c_Rings_Oinverse__class_Oinverse(X2),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Odivision__ring__inverse__zero(X2))).
% 89.41/11.84 cnf(i_0_518, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(c_Rings_Oinverse__class_Oinverse(X2),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Odivision__ring(X2))).
% 89.41/11.84 cnf(i_0_1341, plain, (c_Divides_Odiv__class_Odiv(X1,X2,c_Groups_Oone__class_Oone(X1))=X2|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_1113, plain, (hAPP(c_Nat_OSuc,esk11_1(X1))=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 89.41/11.84 cnf(i_0_601, plain, (X1=c_Groups_Oone__class_Oone(X2)|hAPP(c_Rings_Oinverse__class_Oinverse(X2),X1)!=c_Groups_Oone__class_Oone(X2)|~class_Fields_Ofield__inverse__zero(X2))).
% 89.41/11.84 cnf(i_0_739, plain, (c_Divides_Odiv__class_Omod(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_1061, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 89.41/11.84 cnf(i_0_1132, 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)))).
% 89.41/11.84 cnf(i_0_1133, 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)))).
% 89.41/11.84 cnf(i_0_48, plain, (X1=X2|c_Polynomial_Opoly(X3,X1)!=c_Polynomial_Opoly(X3,X2)|~class_Int_Oring__char__0(X3)|~class_Rings_Oidom(X3))).
% 89.41/11.84 cnf(i_0_264, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X1),X2)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Oab__group__add(X3))).
% 89.41/11.84 cnf(i_0_263, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X1),X2)!=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Ogroup__add(X3))).
% 89.41/11.84 cnf(i_0_72, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=X2|~class_Groups_Omonoid__mult(X1))).
% 89.41/11.84 cnf(i_0_16, 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))).
% 89.41/11.84 cnf(i_0_17, 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))).
% 89.41/11.84 cnf(i_0_289, plain, (c_Polynomial_OAbs__poly(X1,c_Polynomial_Ocoeff(X1,X2))=X2|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1, plain, (X1=X2|hAPP(X1,esk1_2(X2,X1))!=hAPP(X2,esk1_2(X2,X1)))).
% 89.41/11.84 cnf(i_0_229, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Rings_Ocomm__semiring__0(X2))).
% 89.41/11.84 cnf(i_0_424, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly__gcd(X2,X3,X1)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2))).
% 89.41/11.84 cnf(i_0_887, plain, (c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)=X3|~class_Rings_Osemiring__1(X1))).
% 89.41/11.84 cnf(i_0_454, plain, (X1=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X2=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)!=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 89.41/11.84 cnf(i_0_425, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly__gcd(X2,X1,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2))).
% 89.41/11.84 cnf(i_0_286, plain, (c_Polynomial_Odegree(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Polynomial_Osynthetic__div(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_355, plain, (X1=X2|hAPP(c_Groups_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(X3),X2)|~class_Groups_Ogroup__add(X3))).
% 89.41/11.84 cnf(i_0_341, plain, (X1=X2|hAPP(c_Groups_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_Groups_Ouminus__class_Ouminus(X3),X2)|~class_Lattices_Oboolean__algebra(X3))).
% 89.41/11.84 cnf(i_0_8, plain, (hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_76, plain, (hAPP(c_Polynomial_Opoly(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_501, plain, (X1=X2|hAPP(c_Rings_Oinverse__class_Oinverse(X3),X1)!=hAPP(c_Rings_Oinverse__class_Oinverse(X3),X2)|~class_Rings_Odivision__ring__inverse__zero(X3))).
% 89.41/11.84 cnf(i_0_52, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)!=X3|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2))).
% 89.41/11.84 cnf(i_0_740, plain, (c_Divides_Odiv__class_Omod(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_125, 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))).
% 89.41/11.84 cnf(i_0_169, plain, (c_Polynomial_Omonom(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_28, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X1,X2,X3)|hAPP(X3,esk2_1(X3))!=hAPP(X3,esk3_1(X3)))).
% 89.41/11.84 cnf(i_0_958, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__semidom(X1))).
% 89.41/11.84 cnf(i_0_1115, 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,X1,X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1)))).
% 89.41/11.84 cnf(i_0_1282, plain, (~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,X1,X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X1)))).
% 89.41/11.84 cnf(i_0_128, 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))).
% 89.41/11.84 cnf(i_0_90, 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))).
% 89.41/11.84 cnf(i_0_149, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Olinordered__ab__group__add(X2))).
% 89.41/11.84 cnf(i_0_66, 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))).
% 89.41/11.84 cnf(i_0_1016, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),hAPP(c_Nat_OSuc,X2)))).
% 89.41/11.84 cnf(i_0_475, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)=X2|~class_Lattices_Oab__semigroup__idem__mult(X1))).
% 89.41/11.84 cnf(i_0_9, plain, (hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_10, plain, (hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1244, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,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),X1))).
% 89.41/11.84 cnf(i_0_600, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_1272, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2)))).
% 89.41/11.84 cnf(i_0_507, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),c_Groups_Ozero__class_Ozero(X2)),X1))|~class_Rings_Ocomm__semiring__1(X2))).
% 89.41/11.84 cnf(i_0_1153, 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))).
% 89.41/11.84 cnf(i_0_1377, plain, (c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_915, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~class_Rings_Olinordered__semidom(X3)|~c_Orderings_Oord__class_Oless(X3,c_Nat_Osemiring__1__class_Oof__nat(X3,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X2)))).
% 89.41/11.84 cnf(i_0_1018, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X2)))).
% 89.41/11.84 cnf(i_0_206, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1154, 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)))).
% 89.41/11.84 cnf(i_0_1264, plain, (X1=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))).
% 89.41/11.84 cnf(i_0_13, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Polynomial_OpCons(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2))).
% 89.41/11.84 cnf(i_0_770, plain, (c_Divides_Odiv__class_Omod(X1,X2,c_Groups_Oone__class_Oone(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_53, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_348, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=X2|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_427, plain, (c_Polynomial_Opoly__gcd(X1,X2,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)))=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1342, plain, (c_Divides_Odiv__class_Odiv(X1,X2,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_741, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_1343, plain, (c_Divides_Odiv__class_Odiv(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_886, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3)=X4|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X5,X4)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_170, plain, (c_Polynomial_Opcompose(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_151, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_150, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Omonoid__add(X1))).
% 89.41/11.84 cnf(i_0_64, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_99, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Omonoid__mult(X1))).
% 89.41/11.84 cnf(i_0_227, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_692, plain, (c_Deriv_Oderiv(X1,c_COMBI(X1),X2,c_Groups_Oone__class_Oone(X1))|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.84 cnf(i_0_1006, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3),X2))).
% 89.41/11.84 cnf(i_0_1258, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))).
% 89.41/11.84 cnf(i_0_300, plain, (c_Polynomial_Osynthetic__div(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_98, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Ocomm__monoid__mult(X1))).
% 89.41/11.84 cnf(i_0_54, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_147, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_146, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=X2|~class_Groups_Omonoid__add(X1))).
% 89.41/11.84 cnf(i_0_428, plain, (c_Polynomial_Opoly__gcd(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_878, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(X2,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X1,X4)|~class_Fields_Ofield(X2))).
% 89.41/11.84 cnf(i_0_874, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X4,X1)|~class_Fields_Ofield(X2))).
% 89.41/11.84 cnf(i_0_875, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X1,X4)|~class_Fields_Ofield(X2))).
% 89.41/11.84 cnf(i_0_65, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_152, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Omonoid__mult(X1))).
% 89.41/11.84 cnf(i_0_100, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Ocomm__monoid__mult(X1))).
% 89.41/11.84 cnf(i_0_49, 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))).
% 89.41/11.84 cnf(i_0_213, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1063, 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,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)))).
% 89.41/11.84 cnf(i_0_1065, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X2)|~class_Groups_Olinordered__ab__group__add(X1))).
% 89.41/11.84 cnf(i_0_687, plain, (X1=X2|~c_Deriv_Oderiv(X3,X4,X5,X2)|~c_Deriv_Oderiv(X3,X4,X5,X1)|~class_RealVector_Oreal__normed__field(X3))).
% 89.41/11.84 cnf(i_0_1588, plain, (hBOOL(hAPP(hAPP(c_fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))).
% 89.41/11.84 cnf(i_0_1031, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 89.41/11.84 cnf(i_0_183, 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))).
% 89.41/11.84 cnf(i_0_181, 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))).
% 89.41/11.84 cnf(i_0_50, 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))).
% 89.41/11.84 cnf(i_0_1021, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 89.41/11.84 cnf(i_0_1292, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)))).
% 89.41/11.84 cnf(i_0_841, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))!=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1))).
% 89.41/11.84 cnf(i_0_842, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1))!=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))).
% 89.41/11.84 cnf(i_0_214, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_186, 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))).
% 89.41/11.84 cnf(i_0_184, 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))).
% 89.41/11.84 cnf(i_0_70, 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))).
% 89.41/11.84 cnf(i_0_266, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_1213, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)))).
% 89.41/11.84 cnf(i_0_1214, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)))).
% 89.41/11.84 cnf(i_0_274, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_412, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_12, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(hAPP(c_Polynomial_OpCons(X2),X3),X1)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2))).
% 89.41/11.84 cnf(i_0_411, plain, (X1=X2|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X3)),X1)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X3)),X2))).
% 89.41/11.84 cnf(i_0_303, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(c_Polynomial_Ocoeff(X2,X1),c_Polynomial_Odegree(X2,X1))!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ozero(X2))).
% 89.41/11.84 cnf(i_0_1299, plain, (c_Polynomial_Opos__poly(X1,X2)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))))).
% 89.41/11.84 cnf(i_0_1140, 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)))).
% 89.41/11.84 cnf(i_0_24, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=X2|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_25, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=X2|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_88, plain, (hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_285, plain, (c_Polynomial_Osynthetic__div(X1,X2,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Odegree(X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_29, plain, (hAPP(X1,X2)=hAPP(X1,X3)|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4,X5,X1))).
% 89.41/11.84 cnf(i_0_19, 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_Rings_Ozero__neq__one(X1)|~class_Rings_Ono__zero__divisors(X1)|~class_Rings_Omult__zero(X1)|~class_Power_Opower(X1))).
% 89.41/11.84 cnf(i_0_267, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_26, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_27, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_786, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_702, plain, (c_Divides_Odiv__class_Omod(X1,X2,X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))).
% 89.41/11.84 cnf(i_0_884, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X6,X2)|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X7,X1)|~class_Fields_Ofield(X3))).
% 89.41/11.84 cnf(i_0_885, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X2,X6)|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X1,X7)|~class_Fields_Ofield(X3))).
% 89.41/11.84 cnf(i_0_496, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),c_Groups_Ozero__class_Ozero(X1)))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_525, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),c_Groups_Oone__class_Oone(X1)),X2))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1127, 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)))).
% 89.41/11.84 cnf(i_0_1130, 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)))).
% 89.41/11.84 cnf(i_0_801, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_913, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~class_Rings_Olinordered__semidom(X2)|~c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))).
% 89.41/11.84 cnf(i_0_506, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X2))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1069, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)))).
% 89.41/11.84 cnf(i_0_1097, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_207, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1246, plain, (X1=hAPP(c_Nat_OSuc,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)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)),X2)))).
% 89.41/11.84 cnf(i_0_1248, plain, (X1=hAPP(c_Nat_OSuc,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)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X2)))).
% 89.41/11.84 cnf(i_0_422, plain, (c_Polynomial_Opoly__gcd(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_729, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))!=X2)).
% 89.41/11.84 cnf(i_0_778, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_1095, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)))).
% 89.41/11.84 cnf(i_0_1067, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1057, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless(X1,X4,X3))).
% 89.41/11.84 cnf(i_0_1056, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless(X1,X4,X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 89.41/11.84 cnf(i_0_780, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_727, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk9_2(X1,X2))=X2|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1137, 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))).
% 89.41/11.84 cnf(i_0_1114, 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)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_51, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1))=X2|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1))).
% 89.41/11.84 cnf(i_0_779, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.84 cnf(i_0_287, plain, (c_Polynomial_Odegree(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3))=c_Polynomial_Odegree(X1,X2)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1237, plain, (hAPP(c_Polynomial_Ocoeff(X1,X2),X3)=c_Groups_Ozero__class_Ozero(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),X3)|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1278, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 89.41/11.84 cnf(i_0_976, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)))).
% 89.41/11.84 cnf(i_0_148, plain, (hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_322, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2)=hAPP(c_Nat_OSuc,c_Polynomial_Odegree(X1,X2))|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_956, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1323, plain, (c_Divides_Odiv__class_Odiv(X1,X2,X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_335, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=c_Polynomial_Opoly__gcd(X1,X3,X2)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1305, plain, (c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),X2,X3)|~c_Polynomial_Opos__poly(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X3),X2))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_178, 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))).
% 89.41/11.84 cnf(i_0_179, 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))).
% 89.41/11.84 cnf(i_0_343, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=X2|~class_Lattices_Oboolean__algebra(X1))).
% 89.41/11.84 cnf(i_0_505, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))=X2|~class_Rings_Odivision__ring__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_823, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=X1|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),X3),X1)!=c_Groups_Oone__class_Oone(X2)|~class_Rings_Odivision__ring(X2))).
% 89.41/11.84 cnf(i_0_1159, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3)=X2|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_89, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(c_Polynomial_Opoly(X2,X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|c_Polynomial_Oorder(X2,X3,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Oidom(X2))).
% 89.41/11.84 cnf(i_0_683, plain, (c_Deriv_Oderiv(X1,hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3,X2)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.84 cnf(i_0_1147, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))).
% 89.41/11.84 cnf(i_0_198, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_306, plain, (c_Polynomial_Odegree(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_265, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_678, plain, (hBOOL(hAPP(X1,c_Orderings_Oord__class_OLeast(X2,X1)))|~class_Orderings_Owellorder(X2)|~hBOOL(hAPP(X1,X3)))).
% 89.41/11.84 cnf(i_0_1330, plain, (c_Divides_Odiv__class_Odiv(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_110, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),X2)|~class_Groups_Ocancel__semigroup__add(X3))).
% 89.41/11.84 cnf(i_0_836, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),X2)=hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1010, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 89.41/11.84 cnf(i_0_1011, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 89.41/11.84 cnf(i_0_114, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X4),X2)|~class_Groups_Ocancel__ab__semigroup__add(X3))).
% 89.41/11.84 cnf(i_0_112, plain, (X1=X2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X1),X4)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3),X2),X4)|~class_Groups_Ocancel__semigroup__add(X3))).
% 89.41/11.84 cnf(i_0_197, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1118, 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_1013, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)))).
% 89.41/11.84 cnf(i_0_1129, 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)))).
% 89.41/11.84 cnf(i_0_1126, 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)))).
% 89.41/11.84 cnf(i_0_821, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_310, plain, (c_Polynomial_OAbs__poly(X1,hAPP(c_COMBK(X1,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_45, plain, (X1=X2|hAPP(hAPP(c_Polynomial_OpCons(X3),X4),X1)!=hAPP(hAPP(c_Polynomial_OpCons(X3),X5),X2)|~class_Groups_Ozero(X3))).
% 89.41/11.84 cnf(i_0_46, plain, (X1=X2|hAPP(hAPP(c_Polynomial_OpCons(X3),X1),X4)!=hAPP(hAPP(c_Polynomial_OpCons(X3),X2),X5)|~class_Groups_Ozero(X3))).
% 89.41/11.84 cnf(i_0_20, 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_Ozero__neq__one(X2)|~class_Rings_Ono__zero__divisors(X2)|~class_Rings_Omult__zero(X2)|~class_Power_Opower(X2))).
% 89.41/11.84 cnf(i_0_991, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 89.41/11.84 cnf(i_0_1139, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 89.41/11.84 cnf(i_0_409, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=X2|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_1131, 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))).
% 89.41/11.84 cnf(i_0_1260, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X1)=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))).
% 89.41/11.84 cnf(i_0_819, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_1281, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 89.41/11.84 cnf(i_0_1280, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2),X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2))).
% 89.41/11.84 cnf(i_0_644, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_216, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_215, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_176, 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))).
% 89.41/11.84 cnf(i_0_519, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))=X2|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_415, plain, (c_Polynomial_Odegree(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X2))=c_Polynomial_Odegree(X1,X2)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_87, plain, (hAPP(c_Polynomial_Opoly(X1,X2),X3)=c_Groups_Ozero__class_Ozero(X1)|c_Polynomial_Oorder(X1,X3,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_180, 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))).
% 89.41/11.84 cnf(i_0_217, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Polynomial_Osmult(X2),X3),X1)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Rings_Oidom(X2))).
% 89.41/11.84 cnf(i_0_482, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),X2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_438, 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))).
% 89.41/11.84 cnf(i_0_951, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1))).
% 89.41/11.84 cnf(i_0_219, plain, (hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1146, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),X2)))).
% 89.41/11.84 cnf(i_0_1287, 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))).
% 89.41/11.84 cnf(i_0_1288, 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))).
% 89.41/11.84 cnf(i_0_955, 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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_953, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2))|~class_Groups_Olinordered__ab__group__add(X1))).
% 89.41/11.84 cnf(i_0_1385, plain, (c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1062, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(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)))).
% 89.41/11.84 cnf(i_0_1291, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 89.41/11.84 cnf(i_0_582, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1))))).
% 89.41/11.84 cnf(i_0_909, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),hAPP(c_Nat_OSuc,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 89.41/11.84 cnf(i_0_1064, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1))).
% 89.41/11.84 cnf(i_0_1297, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1))).
% 89.41/11.84 cnf(i_0_255, plain, (X1=X2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X4),X4)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),X1),X2)|~class_Groups_Oab__group__add(X3))).
% 89.41/11.84 cnf(i_0_221, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(hAPP(c_Polynomial_Osmult(X2),X3),X1)!=hAPP(hAPP(c_Polynomial_OpCons(X2),X4),X1)|~class_Rings_Ocomm__semiring__0(X2))).
% 89.41/11.84 cnf(i_0_296, plain, (c_Polynomial_Odegree(X1,c_Polynomial_Omonom(X1,X2,X3))=X3|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1230, plain, (hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))))).
% 89.41/11.84 cnf(i_0_308, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1249, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3)))|~hBOOL(hAPP(X1,esk16_3(X3,X2,X1)))|~hBOOL(hAPP(X1,X2)))).
% 89.41/11.84 cnf(i_0_1302, plain, (c_Polynomial_Opos__poly(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3))|~c_Polynomial_Opos__poly(X1,X3)|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_914, plain, (c_Orderings_Oord__class_Oless(X1,c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3))).
% 89.41/11.84 cnf(i_0_244, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 89.41/11.84 cnf(i_0_1109, plain, (hAPP(c_Nat_OSuc,esk10_2(X1,X2))=X2|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,hAPP(c_Nat_OSuc,X1)))).
% 89.41/11.84 cnf(i_0_1304, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opos__poly(X2,X1)|~c_Polynomial_Opos__poly(X2,hAPP(hAPP(c_Polynomial_OpCons(X2),X3),X1))|~class_Rings_Olinordered__idom(X2))).
% 89.41/11.84 cnf(i_0_987, plain, (X1=X2|c_Orderings_Oord__class_Oless(X3,X1,X2)|c_Orderings_Oord__class_Oless(X3,X2,X1)|~class_Rings_Olinordered__idom(X3))).
% 89.41/11.84 cnf(i_0_1040, plain, (X1=X2|c_Orderings_Oord__class_Oless(X3,X1,X2)|c_Orderings_Oord__class_Oless(X3,X2,X1)|~class_Orderings_Olinorder(X3))).
% 89.41/11.84 cnf(i_0_1005, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 89.41/11.84 cnf(i_0_1120, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk12_2(X2,X1)))=X2|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 89.41/11.84 cnf(i_0_1144, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1))).
% 89.41/11.84 cnf(i_0_174, plain, (c_Polynomial_Omonom(X1,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=hAPP(hAPP(c_Polynomial_OpCons(X1),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_6, 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))).
% 89.41/11.84 cnf(i_0_912, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X1,X2))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2))).
% 89.41/11.84 cnf(i_0_1105, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1104, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 89.41/11.84 cnf(i_0_1303, plain, (c_Polynomial_Opos__poly(X1,X2)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Polynomial_Opos__poly(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X3),X2))|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_429, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_433, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_432, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_517, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=c_Groups_Ozero__class_Ozero(X2)|X1=X3|hAPP(c_Rings_Oinverse__class_Oinverse(X2),X1)!=hAPP(c_Rings_Oinverse__class_Oinverse(X2),X3)|~class_Rings_Odivision__ring(X2))).
% 89.41/11.84 cnf(i_0_880, plain, (c_Polynomial_Opdivmod__rel(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1277, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 89.41/11.84 cnf(i_0_738, plain, (c_Divides_Odiv__class_Omod(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_701, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|c_Divides_Odiv__class_Omod(X1,X3,X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_1252, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~hBOOL(hAPP(X1,X2)))).
% 89.41/11.84 cnf(i_0_725, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),esk8_2(X1,X2))=X2|c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_837, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),X2)=hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_435, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_223, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Omonom(X1,X2,X3)),X3)=X2|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1363, 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_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),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))).
% 89.41/11.84 cnf(i_0_1361, plain, (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,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 89.41/11.84 cnf(i_0_1020, plain, (hAPP(c_Nat_OSuc,X1)=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 89.41/11.84 cnf(i_0_444, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(c_Nat_OSuc,X2))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 89.41/11.84 cnf(i_0_1151, 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))).
% 89.41/11.84 cnf(i_0_200, plain, (X1=X2|hAPP(c_Polynomial_Ocoeff(X3,X1),esk4_3(X2,X1,X3))!=hAPP(c_Polynomial_Ocoeff(X3,X2),esk4_3(X2,X1,X3))|~class_Groups_Ozero(X3))).
% 89.41/11.84 cnf(i_0_1271, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 89.41/11.84 cnf(i_0_419, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X3),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))).
% 89.41/11.84 cnf(i_0_721, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1012, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3))).
% 89.41/11.84 cnf(i_0_1009, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 89.41/11.84 cnf(i_0_430, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2))).
% 89.41/11.84 cnf(i_0_679, plain, (c_Deriv_Oderiv(X1,hAPP(c_COMBK(X1,X1),X2),X3,c_Groups_Ozero__class_Ozero(X1))|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.84 cnf(i_0_722, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.84 cnf(i_0_1145, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3),X2))).
% 89.41/11.84 cnf(i_0_1019, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3))).
% 89.41/11.84 cnf(i_0_964, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3)))).
% 89.41/11.84 cnf(i_0_965, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))).
% 89.41/11.84 cnf(i_0_43, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_37, 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))).
% 89.41/11.84 cnf(i_0_327, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X2)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_302, plain, (c_Polynomial_Odegree(X1,hAPP(hAPP(c_Polynomial_Osmult(X1),c_Groups_Ozero__class_Ozero(X1)),X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_1103, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,X1,c_Groups_Ozero__class_Ozero(X2))|~class_Fields_Olinordered__field(X2)|~c_Orderings_Oord__class_Oless(X2,hAPP(c_Rings_Oinverse__class_Oinverse(X2),X1),c_Groups_Ozero__class_Ozero(X2)))).
% 89.41/11.84 cnf(i_0_1099, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)|~class_Fields_Olinordered__field(X2)|~c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(c_Rings_Oinverse__class_Oinverse(X2),X1)))).
% 89.41/11.84 cnf(i_0_1165, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1))).
% 89.41/11.84 cnf(i_0_879, plain, (c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1220, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1))).
% 89.41/11.84 cnf(i_0_768, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_1068, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1094, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 89.41/11.84 cnf(i_0_1098, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 89.41/11.84 cnf(i_0_1096, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_769, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_581, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))).
% 89.41/11.84 cnf(i_0_1138, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_1100, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1066, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(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(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 89.41/11.84 cnf(i_0_1108, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk10_2(X2,X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X2)))).
% 89.41/11.84 cnf(i_0_579, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))))).
% 89.41/11.84 cnf(i_0_566, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_18, 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_Ozero__neq__one(X1)|~class_Rings_Ono__zero__divisors(X1)|~class_Rings_Omult__zero(X1)|~class_Power_Opower(X1))).
% 89.41/11.84 cnf(i_0_1072, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1))).
% 89.41/11.84 cnf(i_0_577, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2)))).
% 89.41/11.84 cnf(i_0_548, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_336, plain, (c_Polynomial_Opoly__gcd(X1,X2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X3))=c_Polynomial_Opoly__gcd(X1,X2,X3)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1217, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))).
% 89.41/11.84 cnf(i_0_1218, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))).
% 89.41/11.84 cnf(i_0_338, plain, (c_Polynomial_Opoly__gcd(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X2),X3)=c_Polynomial_Opoly__gcd(X1,X2,X3)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1253, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X1)))|~hBOOL(hAPP(X2,esk16_3(X1,X3,X2))))).
% 89.41/11.84 cnf(i_0_928, 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))).
% 89.41/11.84 cnf(i_0_927, 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))).
% 89.41/11.84 cnf(i_0_243, plain, (c_Nat_Onat_Onat__case(X1,X2,c_Polynomial_Ocoeff(X1,X3))=c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3))|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1319, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_85, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_86, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_273, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),X3)=X2|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_272, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X3)=X2|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_437, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),hAPP(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))).
% 89.41/11.84 cnf(i_0_1320, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X2)=X3|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_339, plain, (c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X1,X2,X3),X4)=c_Polynomial_Opoly__gcd(X1,X2,c_Polynomial_Opoly__gcd(X1,X3,X4))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_973, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X5)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,X4,X5))).
% 89.41/11.84 cnf(i_0_1358, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),X1)|~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,c_Groups_Oone__class_Oone(tc_Int_Oint),X2))).
% 89.41/11.84 cnf(i_0_222, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Omonom(X1,X2,X3)),X4)=c_Groups_Ozero__class_Ozero(X1)|X3=X4|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1219, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,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,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2))).
% 89.41/11.84 cnf(i_0_231, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Polynomial_Osmult(X2),X3),X1)),hAPP(hAPP(c_Polynomial_OpCons(X2),X4),X1))!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Rings_Ocomm__semiring__0(X2))).
% 89.41/11.84 cnf(i_0_1276, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_558, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_529, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.84 cnf(i_0_527, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.84 cnf(i_0_1092, 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))).
% 89.41/11.84 cnf(i_0_979, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)))).
% 89.41/11.84 cnf(i_0_621, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X1))))).
% 89.41/11.84 cnf(i_0_1310, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opos__poly(X2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X2)),X1))|c_Polynomial_Opos__poly(X2,X1)|~class_Rings_Olinordered__idom(X2))).
% 89.41/11.84 cnf(i_0_977, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3),X2))).
% 89.41/11.84 cnf(i_0_1161, plain, (~class_Rings_Olinordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(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)))).
% 89.41/11.84 cnf(i_0_514, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_597, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))))).
% 89.41/11.84 cnf(i_0_557, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_532, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))|~class_Rings_Odivision__ring__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_515, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_847, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2))))).
% 89.41/11.84 cnf(i_0_1306, plain, (c_Polynomial_Opos__poly(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X2),X3))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),X3,X2))).
% 89.41/11.84 cnf(i_0_436, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Groups_Oone__class_Oone(X1))),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.84 cnf(i_0_834, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1007, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4))).
% 89.41/11.84 cnf(i_0_1285, 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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(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)))).
% 89.41/11.84 cnf(i_0_439, plain, (X1=hAPP(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))).
% 89.41/11.84 cnf(i_0_497, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),c_Polynomial_Opoly__gcd(X1,X2,X3)),X3))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_1225, plain, (hBOOL(hAPP(X1,hAPP(hAPP(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))))).
% 89.41/11.84 cnf(i_0_1231, plain, (hBOOL(hAPP(X1,hAPP(hAPP(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))))).
% 89.41/11.84 cnf(i_0_564, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Polynomial_Osmult(X2),c_Groups_Ozero__class_Ozero(X2)),X3)),X1))|~class_Fields_Ofield(X2))).
% 89.41/11.84 cnf(i_0_498, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),c_Polynomial_Opoly__gcd(X1,X2,X3)),X2))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_391, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))=X3|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_390, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))=X3|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_1123, 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))).
% 89.41/11.84 cnf(i_0_547, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_1312, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(c_Nat_OSuc,esk18_1(X1))))=X1|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 89.41/11.84 cnf(i_0_508, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),X3))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_509, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1309, plain, (c_Polynomial_Opos__poly(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),X3))|~c_Polynomial_Opos__poly(X1,X3)|~c_Polynomial_Opos__poly(X1,X2)|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_1308, plain, (c_Polynomial_Opos__poly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3))|~c_Polynomial_Opos__poly(X1,X3)|~c_Polynomial_Opos__poly(X1,X2)|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_258, plain, (c_Polynomial_Odegree(X1,c_Polynomial_Osynthetic__div(X1,X2,X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Polynomial_Odegree(X1,X2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1125, 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))).
% 89.41/11.84 cnf(i_0_1349, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))=X2|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))).
% 89.41/11.84 cnf(i_0_851, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Nat_Osemiring__1__class_Oof__nat(X1,X2))=c_Nat_Osemiring__1__class_Oof__nat(X1,hAPP(c_Nat_OSuc,X2))|~class_Rings_Osemiring__1(X1))).
% 89.41/11.84 cnf(i_0_1148, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2))).
% 89.41/11.84 cnf(i_0_288, plain, (c_Polynomial_OAbs__poly(X1,c_Nat_Onat_Onat__case(X1,X2,c_Polynomial_Ocoeff(X1,X3)))=hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3)|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_1212, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))|~class_Fields_Olinordered__field__inverse__zero(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))).
% 89.41/11.84 cnf(i_0_1215, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))|~class_Fields_Olinordered__field(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))).
% 89.41/11.84 cnf(i_0_1301, plain, (c_Polynomial_Opos__poly(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2))).
% 89.41/11.84 cnf(i_0_477, 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))).
% 89.41/11.84 cnf(i_0_446, 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),hAPP(c_Nat_OSuc,X3))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_301, plain, (c_Polynomial_Odegree(X1,hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3))=c_Polynomial_Odegree(X1,X3)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_728, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2)=hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))|hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))=X2)).
% 89.41/11.84 cnf(i_0_538, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_Opoly__gcd(X1,X4,X3)))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_539, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_Opoly__gcd(X1,X3,X4)))|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_961, 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))).
% 89.41/11.84 cnf(i_0_688, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X3))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1))).
% 89.41/11.84 cnf(i_0_449, 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),hAPP(c_Nat_OSuc,X3))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_1223, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))))).
% 89.41/11.84 cnf(i_0_510, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)))|~class_Rings_Odvd(X1))).
% 89.41/11.84 cnf(i_0_1279, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_926, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~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))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.84 cnf(i_0_933, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~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)|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.84 cnf(i_0_1155, plain, (c_Polynomial_Odegree(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),X3))=c_Polynomial_Odegree(X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X3),c_Polynomial_Odegree(X1,X2))|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_1376, plain, (c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),X2)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2))).
% 89.41/11.84 cnf(i_0_1008, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_22, 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))).
% 89.41/11.84 cnf(i_0_595, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X3)))).
% 89.41/11.84 cnf(i_0_1156, plain, (c_Polynomial_Odegree(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),X3))=c_Polynomial_Odegree(X1,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.84 cnf(i_0_756, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_755, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X2)=c_Divides_Odiv__class_Omod(X1,X3,X2)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.84 cnf(i_0_975, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless(X1,X3,X2))).
% 89.41/11.84 cnf(i_0_440, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.84 cnf(i_0_442, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_443, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_835, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_385, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)|~class_Rings_Oidom(X1))).
% 89.41/11.84 cnf(i_0_957, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(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(X1,X2,X3))).
% 89.41/11.84 cnf(i_0_765, plain, (c_Divides_Odiv__class_Omod(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X3)))).
% 89.41/11.84 cnf(i_0_731, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),X3))))).
% 89.41/11.84 cnf(i_0_1300, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2)))|~c_Polynomial_Opos__poly(X1,X2)|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.84 cnf(i_0_199, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X3)=hAPP(hAPP(c_Polynomial_OpCons(X1),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.84 cnf(i_0_1082, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1077, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))).
% 89.41/11.84 cnf(i_0_1076, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)))).
% 89.41/11.84 cnf(i_0_1075, 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_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)))).
% 89.41/11.84 cnf(i_0_793, plain, (hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.84 cnf(i_0_334, plain, (hAPP(c_Polynomial_Opoly(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3))|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.84 cnf(i_0_441, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)|~class_Groups_Ogroup__add(X1))).
% 89.41/11.84 cnf(i_0_1078, 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_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)))).
% 89.41/11.84 cnf(i_0_1081, 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_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1084, 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_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1083, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X2),c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.84 cnf(i_0_1255, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk16_3(X1,X2,X3),X1)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1))))).
% 89.41/11.84 cnf(i_0_21, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(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))).
% 89.41/11.84 cnf(i_0_445, 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),hAPP(c_Nat_OSuc,X3))|~class_Power_Opower(X1))).
% 89.41/11.84 cnf(i_0_447, 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),hAPP(c_Nat_OSuc,X3))|~class_Groups_Omonoid__mult(X1))).
% 89.41/11.84 cnf(i_0_816, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X3)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_342, plain, (hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,X2)),X3),X4)=hAPP(c_Groups_Ouminus__class_Ouminus(X2),hAPP(X3,X4))|~class_Groups_Ouminus(X2))).
% 89.41/11.84 cnf(i_0_1227, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(X3,esk13_3(X2,X1,X3))))).
% 89.41/11.84 cnf(i_0_1233, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2)))|~hBOOL(hAPP(X3,esk14_3(X2,X1,X3))))).
% 89.41/11.84 cnf(i_0_1360, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 89.41/11.84 cnf(i_0_1359, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),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))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2))).
% 89.41/11.84 cnf(i_0_813, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X3)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.84 cnf(i_0_235, plain, (c_Polynomial_Opoly__rec(X1,X2,X3,X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))=X3|hAPP(hAPP(hAPP(X4,c_Groups_Ozero__class_Ozero(X2)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X3)!=X3|~class_Groups_Ozero(X2))).
% 89.41/11.84 cnf(i_0_1141, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3))).
% 89.41/11.84 cnf(i_0_77, plain, (hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),X2),X3)),X4)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Polynomial_Opoly(X1,X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.84 cnf(i_0_331, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),c_Polynomial_Omonom(X1,X2,X3))=c_Polynomial_Omonom(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X3)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.84 cnf(i_0_952, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1))).
% 89.41/11.84 cnf(i_0_1071, 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))).
% 89.41/11.84 cnf(i_0_950, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1))).
% 89.41/11.84 cnf(i_0_479, plain, (c_Polynomial_Odegree(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3))=hAPP(c_Nat_OSuc,c_Polynomial_Odegree(X1,X3))|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1))).
% 89.41/11.84 cnf(i_0_23, 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))).
% 89.41/11.84 cnf(i_0_580, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))).
% 89.41/11.84 cnf(i_0_578, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X1)),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))).
% 89.41/11.84 cnf(i_0_954, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(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)))).
% 89.41/11.84 cnf(i_0_947, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_573, plain, (hBOOL(hAPP(X1,esk5_3(X2,X1,X3)))|~class_Rings_Odvd(X3)|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X4)))|~class_Rings_Osemiring__0(X3))).
% 89.41/11.85 cnf(i_0_936, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,X3,X2)|~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))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_808, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X3)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_238, plain, (X1=hAPP(c_Polynomial_Opoly(X2,X3),X4)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2)),X3),hAPP(hAPP(c_Polynomial_Osmult(X2),X4),X5))!=hAPP(hAPP(c_Polynomial_OpCons(X2),X1),X5)|~class_Rings_Ocomm__semiring__0(X2))).
% 89.41/11.85 cnf(i_0_1242, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_1324, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2))=X3|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))).
% 89.41/11.85 cnf(i_0_942, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,X3,X2)|~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))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_1326, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),X3)=X2|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))).
% 89.41/11.85 cnf(i_0_1203, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1195, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 89.41/11.85 cnf(i_0_480, plain, (hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Ozero__class_Ozero(X1)),c_Polynomial_Omonom(X1,X2,X3))=c_Polynomial_Omonom(X1,X2,hAPP(c_Nat_OSuc,X3))|~class_Groups_Ozero(X1))).
% 89.41/11.85 cnf(i_0_798, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X3)=X2|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_622, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2),X3)))).
% 89.41/11.85 cnf(i_0_797, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_172, plain, (hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Opcompose(X1,X2,X3)),X4)=hAPP(c_Polynomial_Opoly(X1,X2),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_1199, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 89.41/11.85 cnf(i_0_1205, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1182, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 89.41/11.85 cnf(i_0_1197, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 89.41/11.85 cnf(i_0_392, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X2)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_383, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))|~class_Rings_Oring(X1))).
% 89.41/11.85 cnf(i_0_763, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))).
% 89.41/11.85 cnf(i_0_1251, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk16_3(X1,X2,X3),X1)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,X2)))).
% 89.41/11.85 cnf(i_0_707, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3)))).
% 89.41/11.85 cnf(i_0_1290, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(c_Nat_OSuc,esk17_2(X2,X1))))=X2|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2))).
% 89.41/11.85 cnf(i_0_378, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oring(X1))).
% 89.41/11.85 cnf(i_0_533, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),X3)=hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Odivision__ring__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_381, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_RealVector_Oreal__normed__algebra(X1))).
% 89.41/11.85 cnf(i_0_534, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X4),X2)),X3))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_1102, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,X2))).
% 89.41/11.85 cnf(i_0_1101, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,X3,X2))).
% 89.41/11.85 cnf(i_0_234, plain, (hAPP(c_Polynomial_Opoly(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)),X4)=hAPP(c_Polynomial_Opoly(X1,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_1164, plain, (~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(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))))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_590, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)))))).
% 89.41/11.85 cnf(i_0_943, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,X4)|~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))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_937, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,X4)|~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))).
% 89.41/11.85 cnf(i_0_938, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X3,X4)|~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))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_944, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X3,X4)|~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))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_41, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_35, 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))).
% 89.41/11.85 cnf(i_0_1375, plain, (c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),X2)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)))|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)|~class_Rings_Olinordered__idom(X1))).
% 89.41/11.85 cnf(i_0_695, plain, (c_Polynomial_Opoly__gcd(X1,X2,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X2))=c_Polynomial_Opoly__gcd(X1,X3,X2)|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_528, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.85 cnf(i_0_526, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.85 cnf(i_0_1386, plain, (c_Polynomial_Opdivmod__rel(X1,X2,X3,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,X3),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_366, plain, (hAPP(c_Polynomial_Ocoeff(X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),X3))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_108, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Groups_Oab__semigroup__add(X1))).
% 89.41/11.85 cnf(i_0_107, 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))).
% 89.41/11.85 cnf(i_0_387, plain, (X1=hAPP(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))).
% 89.41/11.85 cnf(i_0_337, plain, (c_Polynomial_Opoly__gcd(X1,X2,c_Polynomial_Opoly__gcd(X1,X3,X4))=c_Polynomial_Opoly__gcd(X1,X3,c_Polynomial_Opoly__gcd(X1,X2,X4))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1032, 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))).
% 89.41/11.85 cnf(i_0_923, plain, (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,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_1073, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Fields_Olinordered__field__inverse__zero(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)))).
% 89.41/11.85 cnf(i_0_173, plain, (hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Omonom(X1,X2,X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_69, 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))).
% 89.41/11.85 cnf(i_0_220, plain, (hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_846, plain, (c_Nat_Osemiring__1__class_Oof__nat(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)),X3)|~class_Rings_Osemiring__1(X1))).
% 89.41/11.85 cnf(i_0_1088, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Fields_Olinordered__field(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)))).
% 89.41/11.85 cnf(i_0_949, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_931, 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))).
% 89.41/11.85 cnf(i_0_1074, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Fields_Olinordered__field__inverse__zero(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))).
% 89.41/11.85 cnf(i_0_824, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)),c_Nat_Osemiring__1__class_Oof__nat(X1,X3))=c_Nat_Osemiring__1__class_Oof__nat(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X3))|~class_Rings_Osemiring__1(X1))).
% 89.41/11.85 cnf(i_0_313, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(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))).
% 89.41/11.85 cnf(i_0_1267, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X3),X2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3))).
% 89.41/11.85 cnf(i_0_472, plain, (hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3)),hAPP(c_Nat_OSuc,X4))=hAPP(c_Polynomial_Ocoeff(X1,X3),X4)|~class_Groups_Ozero(X1))).
% 89.41/11.85 cnf(i_0_377, plain, (hAPP(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),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))|~class_Rings_Oring(X1))).
% 89.41/11.85 cnf(i_0_689, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X2),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1085, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Fields_Olinordered__field(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))).
% 89.41/11.85 cnf(i_0_1070, 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))).
% 89.41/11.85 cnf(i_0_948, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(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)))).
% 89.41/11.85 cnf(i_0_929, 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))).
% 89.41/11.85 cnf(i_0_1226, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk13_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 89.41/11.85 cnf(i_0_1232, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk14_3(X1,X2,X3))=X2|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 89.41/11.85 cnf(i_0_1318, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X3))=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_794, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_365, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3))=hAPP(hAPP(c_Polynomial_Osmult(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.85 cnf(i_0_930, 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))).
% 89.41/11.85 cnf(i_0_1080, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(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))).
% 89.41/11.85 cnf(i_0_1079, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(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))).
% 89.41/11.85 cnf(i_0_226, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),X2),c_Polynomial_Omonom(X1,X3,X4))=c_Polynomial_Omonom(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_1216, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X3)))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2))).
% 89.41/11.85 cnf(i_0_384, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)|~class_Rings_Oring(X1))).
% 89.41/11.85 cnf(i_0_330, plain, (X1=hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)|X1=X3|hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))!=hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~class_Rings_Oidom(X2))).
% 89.41/11.85 cnf(i_0_379, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_RealVector_Oreal__normed__algebra(X1))).
% 89.41/11.85 cnf(i_0_848, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X2)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))).
% 89.41/11.85 cnf(i_0_1086, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(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))).
% 89.41/11.85 cnf(i_0_1087, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(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))).
% 89.41/11.85 cnf(i_0_1331, plain, (c_Divides_Odiv__class_Odiv(X1,X2,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3))|~class_Divides_Oring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))).
% 89.41/11.85 cnf(i_0_1332, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3))|~class_Divides_Oring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))).
% 89.41/11.85 cnf(i_0_549, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),X3)=hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_1284, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(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)))).
% 89.41/11.85 cnf(i_0_643, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X3)))).
% 89.41/11.85 cnf(i_0_888, plain, (c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(c_Nat_OSuc,X3),X4)=c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,X3,hAPP(X2,X4))|~class_Rings_Osemiring__1(X1))).
% 89.41/11.85 cnf(i_0_576, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3)))).
% 89.41/11.85 cnf(i_0_1202, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1174, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 89.41/11.85 cnf(i_0_1201, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 89.41/11.85 cnf(i_0_694, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,hAPP(hAPP(c_Polynomial_Osmult(X1),X3),X4))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X4)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_583, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X1),X2)))).
% 89.41/11.85 cnf(i_0_671, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3),X1))))).
% 89.41/11.85 cnf(i_0_827, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_795, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_1204, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1187, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 89.41/11.85 cnf(i_0_1200, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3))).
% 89.41/11.85 cnf(i_0_417, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3))|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.85 cnf(i_0_1004, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_907, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)|~class_Groups_Omonoid__mult(X1))).
% 89.41/11.85 cnf(i_0_512, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_513, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_826, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_825, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)),c_Nat_Osemiring__1__class_Oof__nat(X1,X3))=c_Nat_Osemiring__1__class_Oof__nat(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))|~class_Rings_Osemiring__1(X1))).
% 89.41/11.85 cnf(i_0_945, 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))|~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))|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_939, 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))|~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))).
% 89.41/11.85 cnf(i_0_1364, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),X3)=c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 89.41/11.85 cnf(i_0_788, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_242, plain, (c_Polynomial_Odegree(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),X3))=X3|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_830, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),X2)),X3)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),c_Groups_Oone__class_Oone(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_210, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),X4)=hAPP(hAPP(c_Polynomial_Osmult(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_14, 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4))|~class_Groups_Omonoid__mult(X1))).
% 89.41/11.85 cnf(i_0_787, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3))|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_704, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_761, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X3)|~class_Divides_Oring__div(X1))).
% 89.41/11.85 cnf(i_0_1180, 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))|c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2)))).
% 89.41/11.85 cnf(i_0_1193, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2),X3))).
% 89.41/11.85 cnf(i_0_237, plain, (X1=c_Polynomial_Osynthetic__div(X2,X3,X4)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2)),X3),hAPP(hAPP(c_Polynomial_Osmult(X2),X4),X1))!=hAPP(hAPP(c_Polynomial_OpCons(X2),X5),X1)|~class_Rings_Ocomm__semiring__0(X2))).
% 89.41/11.85 cnf(i_0_705, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_15, 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_560, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),c_Groups_Ozero__class_Ozero(X1)),X2)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_84, plain, (hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_550, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),X3),hAPP(hAPP(c_Polynomial_Osmult(X2),X1),X4)))|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_563, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Polynomial_Osmult(X2),X1),X3)),X4))|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_502, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_389, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2))|~class_Groups_Ogroup__add(X1))).
% 89.41/11.85 cnf(i_0_388, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_599, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))=hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_586, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))))).
% 89.41/11.85 cnf(i_0_812, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)|X5=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X5)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_764, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3)))).
% 89.41/11.85 cnf(i_0_905, plain, (X1=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X3),X4)),X5)|~c_Polynomial_Opdivmod__rel(X2,X1,X4,X3,X5)|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_332, plain, (hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_811, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X5)|X5=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1228, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk13_3(X1,X2,X3))=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))))).
% 89.41/11.85 cnf(i_0_706, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))).
% 89.41/11.85 cnf(i_0_1378, plain, (hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)|~hBOOL(hAPP(hAPP(X1,esk19_3(X2,X1,X3)),esk20_3(X2,X1,X3))))).
% 89.41/11.85 cnf(i_0_732, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),X3)))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)!=c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1))).
% 89.41/11.85 cnf(i_0_1181, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1234, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk14_3(X1,X2,X3))=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)|hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),X1))))).
% 89.41/11.85 cnf(i_0_494, plain, (hAPP(c_Polynomial_Opoly(X1,X2),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=c_Groups_Ozero__class_Ozero(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X3),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),X2))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_491, plain, (hAPP(c_Polynomial_Opoly(X1,X2),X3)=c_Groups_Ozero__class_Ozero(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),X2))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_82, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),c_Groups_Oone__class_Oone(X1))),X2)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_81, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_734, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2),X1)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.85 cnf(i_0_204, plain, (hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Polynomial_Ocoeff(X1,X3),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_1194, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_969, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless(X1,X3,X4))).
% 89.41/11.85 cnf(i_0_967, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X3,X4))).
% 89.41/11.85 cnf(i_0_971, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 89.41/11.85 cnf(i_0_736, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.85 cnf(i_0_670, plain, (hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),X1),c_Nat_OSuc)))=c_Orderings_Oord__class_OLeast(tc_Nat_Onat,X1)|hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X1,X2)))).
% 89.41/11.85 cnf(i_0_544, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),c_Groups_Ozero__class_Ozero(X1))))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_541, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X3)))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_968, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X3))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 89.41/11.85 cnf(i_0_684, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3),X4)=hAPP(hAPP(c_Polynomial_Osmult(X1),X2),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X4))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1240, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,X3)),c_Groups_Oone__class_Oone(X1))|~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))).
% 89.41/11.85 cnf(i_0_866, plain, (c_Nat_Osemiring__1__class_Oof__nat__aux(X1,hAPP(c_COMBC(X1,X1,X1,c_Groups_Oplus__class_Oplus(X1)),c_Groups_Oone__class_Oone(X1)),X2,c_Groups_Ozero__class_Ozero(X1))=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Rings_Osemiring__1(X1))).
% 89.41/11.85 cnf(i_0_1372, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.85 cnf(i_0_781, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_75, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3)),hAPP(c_Polynomial_Opoly(X1,X4),X3))=hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),X4)),X3)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_74, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3)),hAPP(c_Polynomial_Opoly(X1,X4),X3))=hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4)),X3)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_1208, 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))).
% 89.41/11.85 cnf(i_0_489, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3))=hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_545, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X1)))|~class_Rings_Oidom(X2))).
% 89.41/11.85 cnf(i_0_542, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4)))|~class_Rings_Oidom(X2))).
% 89.41/11.85 cnf(i_0_420, plain, (c_Polynomial_OAbs__poly(X1,hAPP(hAPP(c_COMBB(X1,X1,tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(X1)),c_Polynomial_Ocoeff(X1,X2)))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1)),X2)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_1591, negated_conjecture, (X1=c_Groups_Ozero__class_Ozero(t_a)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(t_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk21_3(X2,X1,X3)),X2)),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),X1),X3)),esk21_3(X2,X1,X3))))!=hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk21_3(X2,X1,X3))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,X3)),X2))!=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))).
% 89.41/11.85 cnf(i_0_63, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_59, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_67, 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))).
% 89.41/11.85 cnf(i_0_898, plain, (c_Polynomial_Opdivmod__rel(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1158, plain, (c_Transcendental_Odiffs(X1,hAPP(hAPP(c_COMBB(X1,X1,tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(X1)),X2),X3)=hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Transcendental_Odiffs(X1,X2,X3))|~class_Rings_Oring__1(X1))).
% 89.41/11.85 cnf(i_0_1348, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),c_Divides_Odiv__class_Odiv(X1,X2,X4)),c_Divides_Odiv__class_Odiv(X1,X3,X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X2)))).
% 89.41/11.85 cnf(i_0_80, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=X4|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3))!=hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_205, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),X2),hAPP(hAPP(c_Polynomial_Osmult(X1),X3),X4))=hAPP(hAPP(c_Polynomial_Osmult(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_899, plain, (c_Polynomial_Opdivmod__rel(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1368, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2))),c_Divides_Odiv__class_Omod(X1,X3,X2))=X3|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_1325, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X4))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X3)))).
% 89.41/11.85 cnf(i_0_1327, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X4)),X3)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X2)))).
% 89.41/11.85 cnf(i_0_535, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),hAPP(hAPP(c_Polynomial_Osmult(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_1157, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),X3)),X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X3),X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),X4)|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.85 cnf(i_0_1369, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),X3))=X2|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_42, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_36, 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))).
% 89.41/11.85 cnf(i_0_39, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_33, 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))).
% 89.41/11.85 cnf(i_0_546, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))=hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))|X3=c_Groups_Ozero__class_Ozero(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_1367, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),X3)),c_Divides_Odiv__class_Omod(X1,X2,X3))=X2|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_1160, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X2),X3)),X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X3),X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),X4)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_754, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X4)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_748, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_906, plain, (c_Transcendental_Odiffs(X1,X2,X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Nat_Osemiring__1__class_Oof__nat(X1,hAPP(c_Nat_OSuc,X3))),hAPP(X2,hAPP(c_Nat_OSuc,X3)))|~class_Rings_Oring__1(X1))).
% 89.41/11.85 cnf(i_0_1259, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3))),X4),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),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X1))).
% 89.41/11.85 cnf(i_0_589, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X2)))).
% 89.41/11.85 cnf(i_0_328, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_753, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X4),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_747, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X4),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_1321, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=c_Divides_Odiv__class_Odiv(X1,X2,X4)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_103, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),X4)),X3)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_193, plain, (hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),X3)),X3)=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_1257, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X2,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X1)|~hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4)),X3),X1))))).
% 89.41/11.85 cnf(i_0_1322, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=c_Divides_Odiv__class_Odiv(X1,X3,X4)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_1171, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1170, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1184, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1183, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 89.41/11.85 cnf(i_0_158, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4))|~class_RealVector_Oreal__normed__algebra(X1))).
% 89.41/11.85 cnf(i_0_161, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_RealVector_Oreal__normed__algebra(X1))).
% 89.41/11.85 cnf(i_0_307, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Polynomial_Odegree(X1,X2)),c_Polynomial_Odegree(X1,X3))=c_Polynomial_Odegree(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3))|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_319, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Opoly__gcd(X1,X2,X3)),c_Polynomial_Odegree(X1,c_Polynomial_Opoly__gcd(X1,X2,X3)))=c_Groups_Oone__class_Oone(X1)|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_966, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_903, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X2,X3),c_Polynomial_Odegree(X2,X1))|~c_Polynomial_Opdivmod__rel(X2,X4,X1,X5,X3)|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_1090, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X4,X2))).
% 89.41/11.85 cnf(i_0_1089, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4))).
% 89.41/11.85 cnf(i_0_320, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Opoly__gcd(X1,X2,X3)),c_Polynomial_Odegree(X1,c_Polynomial_Opoly__gcd(X1,X2,X3)))=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_160, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring(X1))).
% 89.41/11.85 cnf(i_0_68, 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))).
% 89.41/11.85 cnf(i_0_1269, 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))).
% 89.41/11.85 cnf(i_0_672, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3),X1)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X3)))).
% 89.41/11.85 cnf(i_0_762, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X4),X3)|c_Divides_Odiv__class_Omod(X1,X2,X3)!=c_Divides_Odiv__class_Omod(X1,X4,X3)|~class_Divides_Oring__div(X1))).
% 89.41/11.85 cnf(i_0_240, plain, (c_Polynomial_OAbs__poly(X1,hAPP(hAPP(c_COMBB(X1,X1,tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(X1),X2)),c_Polynomial_Ocoeff(X1,X3)))=hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_536, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_Opoly__gcd(X1,X3,X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),X3))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1172, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1185, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 89.41/11.85 cnf(i_0_745, plain, (c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(X1,X3,X4))|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_559, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X3),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_744, plain, (c_Divides_Odiv__class_Omod(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_Divides_Odiv__class_Omod(X1,X2,X4)),X3)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_1177, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_171, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),c_Polynomial_Omonom(X1,X2,X3)),c_Polynomial_Omonom(X1,X4,X3))=c_Polynomial_Omonom(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4),X3)|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.85 cnf(i_0_1175, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1176, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1189, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1)))).
% 89.41/11.85 cnf(i_0_1188, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 89.41/11.85 cnf(i_0_495, plain, (hAPP(hAPP(c_Polynomial_Osmult(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2)))),X2)=c_Polynomial_Opoly__gcd(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_259, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3)),hAPP(c_Polynomial_Opoly(X1,X4),X3))=hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X2),X4)),X3)|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.85 cnf(i_0_962, 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))).
% 89.41/11.85 cnf(i_0_540, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X4))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_1190, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),X4)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4))).
% 89.41/11.85 cnf(i_0_261, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),c_Polynomial_Omonom(X1,X2,X3)),c_Polynomial_Omonom(X1,X4,X3))=c_Polynomial_Omonom(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4),X3)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_760, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3),X4)|~class_Divides_Oring__div(X1))).
% 89.41/11.85 cnf(i_0_759, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X4),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4),X3)|~class_Divides_Oring__div(X1))).
% 89.41/11.85 cnf(i_0_554, plain, (X1=X2|hAPP(c_Polynomial_Ocoeff(X3,X1),c_Polynomial_Odegree(X3,X1))!=hAPP(c_Polynomial_Ocoeff(X3,X2),c_Polynomial_Odegree(X3,X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3)),X2),X1))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3)),X1),X2))|~class_Rings_Oidom(X3))).
% 89.41/11.85 cnf(i_0_1355, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),c_Groups_Oone__class_Oone(X1))|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_543, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_530, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_218, plain, (hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X4))=hAPP(hAPP(c_Polynomial_Osmult(X1),X2),hAPP(hAPP(c_Polynomial_OpCons(X1),X3),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_789, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(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_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_321, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Opoly__gcd(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))),c_Polynomial_Odegree(X1,c_Polynomial_Opoly__gcd(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))))=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1354, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X1,X3,X2)),c_Groups_Oone__class_Oone(X1))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_693, plain, (c_Deriv_Oderiv(X1,hAPP(hAPP(c_COMBB(X1,X1,X1),c_Groups_Ouminus__class_Ouminus(X1)),X2),X3,hAPP(c_Groups_Ouminus__class_Ouminus(X1),X4))|~c_Deriv_Oderiv(X1,X2,X3,X4)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_918, 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))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X4,X3)|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_940, 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))|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X4,X2)|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_224, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),X3)),hAPP(c_Polynomial_Ocoeff(X1,X4),X3))=hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),X4)),X3)|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.85 cnf(i_0_209, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),hAPP(hAPP(c_Polynomial_Osmult(X1),X3),X4))=hAPP(hAPP(c_Polynomial_Osmult(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_552, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),X3),hAPP(hAPP(c_Polynomial_Osmult(X2),X1),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),X3),X4))|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_551, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Polynomial_Osmult(X2),X1),X3)),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),X3),X4))|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_809, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_324, plain, (hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X1,X2)),X3),X4),X5)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),hAPP(X3,X5)),hAPP(X4,X5))|~class_Groups_Ominus(X2))).
% 89.41/11.85 cnf(i_0_932, 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))|~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))).
% 89.41/11.85 cnf(i_0_920, 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))).
% 89.41/11.85 cnf(i_0_587, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X2),X3)))).
% 89.41/11.85 cnf(i_0_5, plain, (hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4)))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_810, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X3),X4)|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_1238, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3)),c_Polynomial_Odegree(X1,X3))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_921, 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))).
% 89.41/11.85 cnf(i_0_941, 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))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Rings_Olinordered__ring__strict(X1))).
% 89.41/11.85 cnf(i_0_922, 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))).
% 89.41/11.85 cnf(i_0_1356, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X1,X2,X4))|X4=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_73, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3)),hAPP(hAPP(c_Polynomial_OpCons(X1),X4),X5))=hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X3),X5))|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.85 cnf(i_0_516, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_315, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),c_Groups_Oone__class_Oone(X1)))=hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_493, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),X3))|hAPP(c_Polynomial_Opoly(X1,X3),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2))!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_241, plain, (c_Polynomial_Osynthetic__div(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3),X4)=hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Polynomial_Opoly(X1,X3),X4)),c_Polynomial_Osynthetic__div(X1,X3,X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_1357, plain, (c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),c_Divides_Odiv__class_Odiv(X1,X2,X3))|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_524, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X3))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.85 cnf(i_0_1254, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk16_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk15_3(X1,X2,X3)))=X2|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1))))).
% 89.41/11.85 cnf(i_0_901, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opdivmod__rel(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X3),X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X1,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)))|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_1162, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_1163, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_1209, 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))).
% 89.41/11.85 cnf(i_0_897, plain, (c_Polynomial_Opdivmod__rel(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)),X3),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X3),c_Polynomial_Odegree(X1,X2))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_246, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),X3)),hAPP(c_Polynomial_Ocoeff(X1,X4),X3))=hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X2),X4)),X3)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_1033, 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))).
% 89.41/11.85 cnf(i_0_752, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),c_Divides_Odiv__class_Omod(X1,X4,X3)),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_746, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),c_Divides_Odiv__class_Omod(X1,X4,X3)),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_175, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Polynomial_Omonom(X1,X2,X3)),c_Polynomial_Omonom(X1,X4,X5))=c_Polynomial_Omonom(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X5))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_474, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(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),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X3)),X2)|~class_Rings_Oring__1(X1))).
% 89.41/11.85 cnf(i_0_270, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4))|~class_RealVector_Oreal__normed__algebra(X1))).
% 89.41/11.85 cnf(i_0_268, plain, (hAPP(hAPP(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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4)),X3)|~class_RealVector_Oreal__normed__algebra(X1))).
% 89.41/11.85 cnf(i_0_783, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_758, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),c_Divides_Odiv__class_Omod(X1,X4,X3)),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4),X3)|~class_Divides_Oring__div(X1))).
% 89.41/11.85 cnf(i_0_57, plain, (X1=X2|X3=X4|hAPP(hAPP(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))!=hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_782, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_225, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),hAPP(hAPP(c_Polynomial_Osmult(X1),X4),X3))=hAPP(hAPP(c_Polynomial_Osmult(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_208, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X4))=hAPP(hAPP(c_Polynomial_Osmult(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X3),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_487, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Polynomial_OpCons(X2),hAPP(c_Groups_Ouminus__class_Ouminus(X2),X3)),hAPP(hAPP(c_Polynomial_OpCons(X2),c_Groups_Oone__class_Oone(X2)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),hAPP(c_Nat_OSuc,c_Polynomial_Oorder(X2,X3,X1)))),X1))|~class_Rings_Oidom(X2))).
% 89.41/11.85 cnf(i_0_900, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opdivmod__rel(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X3),X1)),X4),X1,X3,X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X2,X4),c_Polynomial_Odegree(X2,X1))|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_236, plain, (hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3)),c_Polynomial_Osynthetic__div(X1,X2,X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),hAPP(hAPP(c_Polynomial_Osmult(X1),X3),c_Polynomial_Osynthetic__div(X1,X2,X3)))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_1347, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),c_Divides_Odiv__class_Odiv(X1,X4,X3)))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4)))).
% 89.41/11.85 cnf(i_0_681, plain, (c_Deriv_Oderiv(X1,hAPP(hAPP(c_COMBB(X1,X1,X1),X2),X3),X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X6))|~c_Deriv_Oderiv(X1,X2,hAPP(X3,X4),X5)|~c_Deriv_Oderiv(X1,X3,X4,X6)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_1207, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,X4))).
% 89.41/11.85 cnf(i_0_1371, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),X2))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 89.41/11.85 cnf(i_0_1311, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2),X1)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2),hAPP(c_Nat_OSuc,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_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1))).
% 89.41/11.85 cnf(i_0_828, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(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_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3)|X4=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_855, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1206, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X4,X3))).
% 89.41/11.85 cnf(i_0_1380, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,esk20_3(X1,X2,X3),X3)|hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 89.41/11.85 cnf(i_0_603, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Ozero__class_Ozero(X1)|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_605, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_853, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),X2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_492, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),X3))|hAPP(c_Polynomial_Opoly(X1,X3),X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_1211, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3))).
% 89.41/11.85 cnf(i_0_1210, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Oone__class_Oone(X1))),X3)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3))).
% 89.41/11.85 cnf(i_0_607, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_785, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4)),X3)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_1250, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk16_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),esk15_3(X1,X2,X3)))=X2|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,X2)))).
% 89.41/11.85 cnf(i_0_852, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4))|X4=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_854, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X4)),X3)|X4=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_196, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X4))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_604, plain, (c_Polynomial_Opoly__gcd(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=X2|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Ozero__class_Ozero(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_784, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4)),X3)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_682, plain, (c_Deriv_Oderiv(X1,hAPP(hAPP(c_COMBB(X1,X1,X1),hAPP(c_Groups_Otimes__class_Otimes(X1),X2)),X3),X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5))|~c_Deriv_Oderiv(X1,X3,X4,X5)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_1333, plain, (c_Divides_Odiv__class_Odiv(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),c_Divides_Odiv__class_Odiv(X1,X2,X4)),X3)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X2)))).
% 89.41/11.85 cnf(i_0_1329, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),c_Divides_Odiv__class_Odiv(X1,X4,X3))=c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))).
% 89.41/11.85 cnf(i_0_572, plain, (hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),esk6_3(X3,X1,X2))))|~class_Rings_Odvd(X2)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X3),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X4),c_Groups_Ozero__class_Ozero(X2))))|~hBOOL(hAPP(X1,X4))|~class_Rings_Osemiring__0(X2))).
% 89.41/11.85 cnf(i_0_247, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),hAPP(hAPP(c_Polynomial_Osmult(X1),X4),X3))=hAPP(hAPP(c_Polynomial_Osmult(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4)),X3)|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.85 cnf(i_0_195, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_591, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X3)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5)),X3))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X5)))).
% 89.41/11.85 cnf(i_0_260, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3)),hAPP(hAPP(c_Polynomial_OpCons(X1),X4),X5))=hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X4)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X3),X5))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_1293, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,X1)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,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_Int_Oint,X2,X3))).
% 89.41/11.85 cnf(i_0_416, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X4))=hAPP(hAPP(c_Polynomial_Osmult(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X3),X4))|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.85 cnf(i_0_677, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Deriv_Oderiv(X2,c_Rings_Oinverse__class_Oinverse(X2),X1,hAPP(c_Groups_Ouminus__class_Ouminus(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),hAPP(c_Rings_Oinverse__class_Oinverse(X2),X1)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))|~class_RealVector_Oreal__normed__field(X2))).
% 89.41/11.85 cnf(i_0_574, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),esk5_3(X2,X3,X1)),c_Groups_Ozero__class_Ozero(X1))))|~class_Rings_Odvd(X1)|~hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Osemiring__0(X1))).
% 89.41/11.85 cnf(i_0_1381, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),esk20_3(X1,X2,X3))|hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 89.41/11.85 cnf(i_0_1239, 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))).
% 89.41/11.85 cnf(i_0_511, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_858, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))),X3)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),X4)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_153, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),c_Polynomial_Opcompose(X1,X4,X3)))=c_Polynomial_Opcompose(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X4),X3)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_318, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X5))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X5))|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_792, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X3)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X5))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Fields_Ofield__inverse__zero(X1))).
% 89.41/11.85 cnf(i_0_38, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X4),X5))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X5))|~class_Rings_Ocomm__semiring__1(X1))).
% 89.41/11.85 cnf(i_0_1315, plain, (c_Divides_Odiv__class_Odiv(X1,X2,X3)=c_Divides_Odiv__class_Odiv(X1,X4,X5)|X5=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X5),X4)))).
% 89.41/11.85 cnf(i_0_859, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)),X2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X2))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_881, plain, (c_Polynomial_Opdivmod__rel(X1,hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X3),X4,hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X5),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),X6))|~c_Polynomial_Opdivmod__rel(X1,X3,X4,X5,X6)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_568, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)))|~class_Rings_Odvd(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X6))),X4)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X6))|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.85 cnf(i_0_890, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Polynomial_Opdivmod__rel(X2,X3,hAPP(hAPP(c_Polynomial_Osmult(X2),X1),X4),hAPP(hAPP(c_Polynomial_Osmult(X2),hAPP(c_Rings_Oinverse__class_Oinverse(X2),X1)),X5),X6)|~c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X6)|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_1366, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2))),c_Divides_Odiv__class_Omod(X1,X3,X2))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X4)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_30, 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))).
% 89.41/11.85 cnf(i_0_163, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X5))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)|~class_Rings_Osemiring(X1))).
% 89.41/11.85 cnf(i_0_1365, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),X3)),c_Divides_Odiv__class_Omod(X1,X2,X3))),X4)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X4)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_1316, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)|X4=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,X2,X4)!=c_Divides_Odiv__class_Odiv(X1,X5,X3)|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X4),X2)))).
% 89.41/11.85 cnf(i_0_164, plain, (hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Polynomial_Omonom(X1,c_Groups_Oone__class_Oone(X1),X2)),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2)),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.85 cnf(i_0_1328, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),c_Divides_Odiv__class_Odiv(X1,X4,X5))=c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Divides_Osemiring__div(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X5),X4))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X3),X2)))).
% 89.41/11.85 cnf(i_0_1167, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4)),X5)),X6))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5)),X6)))).
% 89.41/11.85 cnf(i_0_1169, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),X4)),X5),X6)|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X6)))).
% 89.41/11.85 cnf(i_0_211, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_Osmult(X1),X2),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X2))),hAPP(hAPP(c_Polynomial_OpCons(X1),X4),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X2)))=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X4),X3),X2)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_56, plain, (hAPP(hAPP(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_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))).
% 89.41/11.85 cnf(i_0_1382, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X4)|~hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2)),X3),X4)),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X2)),X3),X4))))).
% 89.41/11.85 cnf(i_0_1370, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),X3)))=c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 89.41/11.85 cnf(i_0_192, plain, (c_Polynomial_Opoly__rec(X1,X2,X3,X4,hAPP(hAPP(c_Polynomial_OpCons(X2),X5),X6))=hAPP(hAPP(hAPP(X4,X5),X6),c_Polynomial_Opoly__rec(X1,X2,X3,X4,X6))|hAPP(hAPP(hAPP(X4,c_Groups_Ozero__class_Ozero(X2)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X3)!=X3|~class_Groups_Ozero(X2))).
% 89.41/11.85 cnf(i_0_749, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),X6),X4)|c_Divides_Odiv__class_Omod(X1,X3,X4)!=c_Divides_Odiv__class_Omod(X1,X6,X4)|c_Divides_Odiv__class_Omod(X1,X2,X4)!=c_Divides_Odiv__class_Omod(X1,X5,X4)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_742, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X6),X4)|c_Divides_Odiv__class_Omod(X1,X3,X4)!=c_Divides_Odiv__class_Omod(X1,X6,X4)|c_Divides_Odiv__class_Omod(X1,X2,X4)!=c_Divides_Odiv__class_Omod(X1,X5,X4)|~class_Divides_Osemiring__div(X1))).
% 89.41/11.85 cnf(i_0_592, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5))))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2),X5)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),X1),X4)))).
% 89.41/11.85 cnf(i_0_294, plain, (X1=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),X3),X4)),X5)),X6)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X5)),X1)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X5)),X6)|~class_Rings_Oring(X2))).
% 89.41/11.85 cnf(i_0_293, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X2)),X3)),X5))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)),X5)|~class_Rings_Oring(X1))).
% 89.41/11.85 cnf(i_0_239, plain, (c_Polynomial_OAbs__poly(X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat),c_Groups_Oplus__class_Oplus(X1)),c_Polynomial_Ocoeff(X1,X2))),c_Polynomial_Ocoeff(X1,X3)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),X2),X3)|~class_Groups_Ocomm__monoid__add(X1))).
% 89.41/11.85 cnf(i_0_757, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X5),X6),X4)|c_Divides_Odiv__class_Omod(X1,X3,X4)!=c_Divides_Odiv__class_Omod(X1,X6,X4)|c_Divides_Odiv__class_Omod(X1,X2,X4)!=c_Divides_Odiv__class_Omod(X1,X5,X4)|~class_Divides_Oring__div(X1))).
% 89.41/11.85 cnf(i_0_777, plain, (c_Deriv_Oderiv(X1,hAPP(c_COMBC(X1,X1,X1,hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X1),c_Rings_Oinverse__class_Odivide(X1)),X2)),X3),X4,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X5),X3))|~c_Deriv_Oderiv(X1,X2,X4,X5)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_609, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X3))|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Ozero__class_Ozero(X1)|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_615, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X2))|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Ozero__class_Ozero(X1)|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1379, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),esk20_3(X1,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),esk19_3(X1,X2,X3)))=X1|hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3))).
% 89.41/11.85 cnf(i_0_490, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Polynomial_Oorder(X1,X2,X3))),X3))|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_311, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))),hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)))=hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Polynomial_Odegree(X1,X2)),c_Polynomial_Odegree(X1,X3)))|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_252, plain, (c_Polynomial_OAbs__poly(X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(X1)),c_Polynomial_Ocoeff(X1,X2))),c_Polynomial_Ocoeff(X1,X3)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),X2),X3)|~class_Groups_Oab__group__add(X1))).
% 89.41/11.85 cnf(i_0_617, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X2))|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_611, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X3))|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_613, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X3))|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_619, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=X4|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(X3,X2,X4,X1)),X2))|hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4))!=c_Groups_Oone__class_Oone(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X3))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X4),X2))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_194, plain, (hAPP(hAPP(hAPP(X1,X2),X3),hAPP(hAPP(hAPP(c_If(X4),hAPP(c_fequal(X3),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))),X6),c_Polynomial_Opoly__rec(X4,X5,X6,X1,X3)))=c_Polynomial_Opoly__rec(X4,X5,X6,X1,hAPP(hAPP(c_Polynomial_OpCons(X5),X2),X3))|~class_Groups_Ozero(X5))).
% 89.41/11.85 cnf(i_0_555, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))|X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_567, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3)),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2))),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))|X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_1166, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X5),X2)),X3)),X6)))).
% 89.41/11.85 cnf(i_0_1168, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4),hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X5)),X3)),X4),X6))).
% 89.41/11.85 cnf(i_0_556, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X2))),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))|X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_316, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X5)),X4))=hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_690, plain, (c_Deriv_Oderiv(X1,hAPP(hAPP(c_COMBS(X1,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X1),c_Groups_Oplus__class_Oplus(X1)),X2)),X3),X4,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),X6))|~c_Deriv_Oderiv(X1,X3,X4,X6)|~c_Deriv_Oderiv(X1,X2,X4,X5)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_691, plain, (c_Deriv_Oderiv(X1,hAPP(hAPP(c_COMBS(X1,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X1),c_Groups_Ominus__class_Ominus(X1)),X2)),X3),X4,hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X5),X6))|~c_Deriv_Oderiv(X1,X3,X4,X6)|~c_Deriv_Oderiv(X1,X2,X4,X5)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_565, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3))),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))|X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1))).
% 89.41/11.85 cnf(i_0_481, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3))|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.85 cnf(i_0_569, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))),X6)))|~class_Rings_Odvd(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X6)))|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),X5))|~class_Rings_Ocomm__ring(X1))).
% 89.41/11.85 cnf(i_0_317, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Polynomial_Osynthetic__div(X1,X3,X2))),hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Polynomial_Opoly(X1,X3),X2)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))=X3|~class_Rings_Ocomm__ring__1(X1))).
% 89.41/11.85 cnf(i_0_610, plain, (c_Polynomial_Opoly__gcd(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=X2|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),esk7_4(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Ozero__class_Ozero(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_312, plain, (c_Polynomial_OAbs__poly(X1,hAPP(c_COMBC(tc_Nat_Onat,X1,X1,hAPP(c_COMBC(tc_Nat_Onat,X1,tc_fun(X1,X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(X1,tc_fun(X1,X1)),tc_Nat_Onat),c_If(X1)),c_fequal(X2))),X3)),c_Groups_Ozero__class_Ozero(X1)))=c_Polynomial_Omonom(X1,X3,X2)|~class_Groups_Ozero(X1))).
% 89.41/11.85 cnf(i_0_889, plain, (c_Polynomial_Opdivmod__rel(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4),X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X6)),X7))|~c_Polynomial_Opdivmod__rel(X1,X8,X4,X5,X6)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X8,X7)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_856, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(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))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X5)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))|X5=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_857, plain, (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(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),X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X2),X5)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),X4),X3))|X5=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_674, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(X3)|c_Deriv_Oderiv(X3,hAPP(hAPP(c_COMBB(X3,X3,X3),c_Rings_Oinverse__class_Oinverse(X3)),X1),X2,hAPP(c_Groups_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X4),hAPP(c_Rings_Oinverse__class_Oinverse(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),hAPP(X1,X2)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))))|~c_Deriv_Oderiv(X3,X1,X2,X4)|~class_RealVector_Oreal__normed__field(X3))).
% 89.41/11.85 cnf(i_0_860, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X3),X4)),X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X6)),X5)),X4))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X6),X4))),X5)|~class_RealVector_Oreal__field(X1))).
% 89.41/11.85 cnf(i_0_865, plain, (hAPP(c_Groups_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),X4))),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3)))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X2)),hAPP(c_Rings_Oinverse__class_Oinverse(X1),X3))),X4)|X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_699, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(X3)|c_Deriv_Oderiv(X3,hAPP(hAPP(c_COMBB(X3,X3,X3),c_Rings_Oinverse__class_Oinverse(X3)),X1),X2,hAPP(c_Groups_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Rings_Oinverse__class_Oinverse(X3),hAPP(X1,X2))),X4)),hAPP(c_Rings_Oinverse__class_Oinverse(X3),hAPP(X1,X2)))))|~c_Deriv_Oderiv(X3,X1,X2,X4)|~class_RealVector_Oreal__normed__field(X3))).
% 89.41/11.85 cnf(i_0_696, plain, (c_Deriv_Oderiv(X1,hAPP(hAPP(c_COMBS(X1,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X1),c_Groups_Otimes__class_Otimes(X1)),X2)),X3),X4,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),hAPP(X3,X4))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X6),hAPP(X2,X4))))|~c_Deriv_Oderiv(X1,X3,X4,X6)|~c_Deriv_Oderiv(X1,X2,X4,X5)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_698, plain, (c_Deriv_Oderiv(X1,hAPP(hAPP(c_COMBS(X1,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X1),c_Groups_Oplus__class_Oplus(X1)),X2)),hAPP(hAPP(c_COMBB(X1,X1,X1),c_Groups_Ouminus__class_Ouminus(X1)),X3)),X4,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X5),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X6)))|~c_Deriv_Oderiv(X1,X3,X4,X6)|~c_Deriv_Oderiv(X1,X2,X4,X5)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_697, plain, (c_Deriv_Oderiv(X1,hAPP(hAPP(c_COMBS(X1,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X1),c_Groups_Otimes__class_Otimes(X1)),X2)),X3),X4,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(X2,X4)),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X6),hAPP(X3,X4))))|~c_Deriv_Oderiv(X1,X3,X4,X5)|~c_Deriv_Oderiv(X1,X2,X4,X6)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_774, plain, (c_Deriv_Oderiv(X1,hAPP(c_COMBC(X1,tc_Nat_Onat,X1,hAPP(hAPP(c_COMBB(X1,tc_fun(tc_Nat_Onat,X1),X1),c_Power_Opower__class_Opower(X1)),X2)),hAPP(c_Nat_OSuc,X3)),X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Oone__class_Oone(X1)),c_Nat_Osemiring__1__class_Oof__nat(X1,X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(X2,X4)),X3))))|~c_Deriv_Oderiv(X1,X2,X4,X5)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_1295, plain, (c_Orderings_Oorder_Omono(tc_Nat_Onat,X1,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X2)|~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)|~class_Orderings_Oorder(X1))).
% 89.41/11.85 cnf(i_0_773, plain, (c_Deriv_Oderiv(X1,hAPP(c_COMBC(X1,tc_Nat_Onat,X1,hAPP(hAPP(c_COMBB(X1,tc_fun(tc_Nat_Onat,X1),X1),c_Power_Opower__class_Opower(X1)),X2)),X3),X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Nat_Osemiring__1__class_Oof__nat(X1,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(X2,X4)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X3),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))))|~c_Deriv_Oderiv(X1,X2,X4,X5)|~class_RealVector_Oreal__normed__field(X1))).
% 89.41/11.85 cnf(i_0_295, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X2),X3)),X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X1),X4),X5)))=hAPP(hAPP(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))).
% 89.41/11.85 cnf(i_0_602, plain, (c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot),hAPP(c_COMBC(tc_Nat_Onat,tc_Polynomial_Opoly(X1),tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_Polynomial_Opoly(X1),tc_fun(tc_Polynomial_Opoly(X1),tc_HOL_Obool),tc_Nat_Onat),c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Polynomial_Opoly(X1),tc_Nat_Onat),hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),hAPP(c_Groups_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_Polynomial_OpCons(X1),c_Groups_Oone__class_Oone(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))))),c_Nat_OSuc))),X3)))=c_Polynomial_Oorder(X1,X2,X3)|~class_Rings_Oidom(X1))).
% 89.41/11.85 cnf(i_0_771, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X4))),hAPP(hAPP(c_Polynomial_Osmult(X1),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X1),hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X4))),c_Polynomial_Odegree(X1,X4))),hAPP(c_Polynomial_Ocoeff(X1,X4),c_Polynomial_Odegree(X1,X4)))),X4))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3),X4)|X4=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1))).
% 89.41/11.85 cnf(i_0_864, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(X3)|c_Deriv_Oderiv(X3,hAPP(hAPP(c_COMBS(X3,X3,X3),hAPP(hAPP(c_COMBB(X3,tc_fun(X3,X3),X3),c_Rings_Oinverse__class_Odivide(X3)),X4)),X1),X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X5),hAPP(X1,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(X4,X2)),X6))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(X1,X2)),hAPP(X1,X2))))|~c_Deriv_Oderiv(X3,X1,X2,X6)|~c_Deriv_Oderiv(X3,X4,X2,X5)|~class_RealVector_Oreal__normed__field(X3))).
% 89.41/11.85 cnf(i_0_867, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opdivmod__rel(X2,hAPP(hAPP(c_Polynomial_OpCons(X2),X3),X4),X1,hAPP(hAPP(c_Polynomial_OpCons(X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),hAPP(c_Polynomial_Ocoeff(X2,hAPP(hAPP(c_Polynomial_OpCons(X2),X3),X5)),c_Polynomial_Odegree(X2,X1))),hAPP(c_Polynomial_Ocoeff(X2,X1),c_Polynomial_Odegree(X2,X1)))),X6),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X2)),hAPP(hAPP(c_Polynomial_OpCons(X2),X3),X5)),hAPP(hAPP(c_Polynomial_Osmult(X2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X2),hAPP(c_Polynomial_Ocoeff(X2,hAPP(hAPP(c_Polynomial_OpCons(X2),X3),X5)),c_Polynomial_Odegree(X2,X1))),hAPP(c_Polynomial_Ocoeff(X2,X1),c_Polynomial_Odegree(X2,X1)))),X1)))|~c_Polynomial_Opdivmod__rel(X2,X4,X1,X6,X5)|~class_Fields_Ofield(X2))).
% 89.41/11.85 cnf(i_0_772, plain, (hAPP(X1,X2)=c_Groups_Ozero__class_Ozero(X3)|c_Deriv_Oderiv(X3,hAPP(hAPP(c_COMBS(X3,X3,X3),hAPP(hAPP(c_COMBB(X3,tc_fun(X3,X3),X3),c_Rings_Oinverse__class_Odivide(X3)),X4)),X1),X2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X5),hAPP(X1,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X6),hAPP(X4,X2)))),hAPP(hAPP(c_Power_Opower__class_Opower(X3),hAPP(X1,X2)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))|~c_Deriv_Oderiv(X3,X1,X2,X6)|~c_Deriv_Oderiv(X3,X4,X2,X5)|~class_RealVector_Oreal__normed__field(X3))).
% 89.41/11.85 cnf(i_0_1265, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(X2,X3),hAPP(X2,X4))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X4),X3))|~c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,X1,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),X2)|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),X3),X4)))).
% 89.41/11.85 cnf(i_0_212, plain, (c_Polynomial_Opoly__rec(tc_Polynomial_Opoly(X1),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_Polynomial_Opoly(X1),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1))),X1),c_COMBK(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))),hAPP(hAPP(c_COMBB(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),X1),hAPP(c_COMBS(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_COMBB(tc_Polynomial_Opoly(X1),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1))),hAPP(c_Polynomial_Osmult(X1),X2)))),c_Polynomial_OpCons(X1))),X3)=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X2)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_233, plain, (c_Polynomial_Opoly__rec(tc_Polynomial_Opoly(X1),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_Polynomial_Opoly(X1),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1))),X1),c_COMBK(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))),hAPP(c_COMBC(X1,tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1))),X1),c_COMBB(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1))),hAPP(hAPP(c_COMBB(tc_Polynomial_Opoly(X1),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),X1),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1))),hAPP(c_COMBC(X1,tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1)),X2)))),hAPP(c_Polynomial_OpCons(X1),c_Groups_Ozero__class_Ozero(X1)))),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X2)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 cnf(i_0_189, plain, (c_Polynomial_Opoly__rec(tc_Polynomial_Opoly(X1),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_Polynomial_Opoly(X1),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1))),X1),c_COMBK(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))),hAPP(c_COMBC(X1,tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),hAPP(hAPP(c_COMBB(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1))),X1),c_COMBB(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1))),hAPP(hAPP(c_COMBB(tc_Polynomial_Opoly(X1),tc_fun(tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1)),X1),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1))),hAPP(c_COMBC(X1,tc_Polynomial_Opoly(X1),tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))))),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2))),X3)=c_Polynomial_Opcompose(X1,X3,X2)|~class_Rings_Ocomm__semiring__0(X1))).
% 89.41/11.85 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 89.41/11.85 # Begin printing tableau
% 89.41/11.85 # Found 22 steps
% 89.41/11.85 cnf(i_0_1591, negated_conjecture, (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))=c_Groups_Ozero__class_Ozero(t_a)|hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(t_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))))!=hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))))!=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))), inference(start_rule)).
% 89.41/11.85 cnf(i_0_1782, plain, (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))=c_Groups_Ozero__class_Ozero(t_a)), inference(closure_rule, [i_0_344])).
% 89.41/11.85 cnf(i_0_1783, plain, (hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(closure_rule, [i_0_393])).
% 89.41/11.85 cnf(i_0_1784, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(t_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))))!=hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))), inference(extension_rule, [i_0_791])).
% 89.41/11.85 cnf(i_0_2076, plain, (~class_Nat_Osemiring__char__0(tc_Nat_Onat)), inference(closure_rule, [i_0_1503])).
% 89.41/11.85 cnf(i_0_2075, plain, (c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(t_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))))!=c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))), inference(extension_rule, [i_0_48])).
% 89.41/11.85 cnf(i_0_741635, plain, (~class_Int_Oring__char__0(tc_Int_Oint)), inference(closure_rule, [i_0_1472])).
% 89.41/11.85 cnf(i_0_741636, plain, (~class_Rings_Oidom(tc_Int_Oint)), inference(closure_rule, [i_0_1481])).
% 89.41/11.85 cnf(i_0_741634, plain, (c_Polynomial_Opoly(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(t_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))))))!=c_Polynomial_Opoly(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))))), inference(extension_rule, [i_0_264])).
% 89.41/11.85 cnf(i_0_744275, plain, (~class_Groups_Oab__group__add(tc_Int_Oint)), inference(closure_rule, [i_0_1457])).
% 89.41/11.85 cnf(i_0_1785, plain, (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))))!=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))), inference(extension_rule, [i_0_1020])).
% 89.41/11.85 cnf(i_0_746797, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))), inference(extension_rule, [i_0_1039])).
% 89.41/11.85 cnf(i_0_747017, plain, (~class_Orderings_Olinorder(tc_Nat_Onat)), inference(closure_rule, [i_0_1506])).
% 89.41/11.85 cnf(i_0_747019, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))))), inference(closure_rule, [i_0_1122])).
% 89.41/11.85 cnf(i_0_746798, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))), inference(extension_rule, [i_0_1234])).
% 89.41/11.85 cnf(i_0_2056371, plain, (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),esk14_3(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))), inference(extension_rule, [i_0_1007])).
% 89.41/11.85 cnf(i_0_2058913, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))), inference(closure_rule, [i_0_910])).
% 89.41/11.85 cnf(i_0_744274, plain, (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Polynomial_Opoly(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(t_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))))))),c_Polynomial_Opoly(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk21_3(hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(etableau_closure_rule, [i_0_744274, ...])).
% 89.41/11.85 cnf(i_0_2056373, plain, (hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))))), inference(extension_rule, [i_0_1282])).
% 89.41/11.85 cnf(i_0_2107511, plain, (~c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))), inference(closure_rule, [i_0_1275])).
% 89.41/11.85 cnf(i_0_2058911, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk14_3(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))))), inference(etableau_closure_rule, [i_0_2058911, ...])).
% 89.41/11.85 cnf(i_0_2107510, plain, (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),hAPP(c_Nat_OSuc,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))), inference(etableau_closure_rule, [i_0_2107510, ...])).
% 89.41/11.85 # End printing tableau
% 89.41/11.85 # SZS output end
% 89.41/11.85 # Branches closed with saturation will be marked with an "s"
% 89.41/11.86 # Child (27737) has found a proof.
% 89.41/11.86
% 89.41/11.86 # Proof search is over...
% 89.41/11.86 # Freeing feature tree
%------------------------------------------------------------------------------