TSTP Solution File: LCL809-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL809-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n019.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 : Sun Jul 17 10:25:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL809-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 21:38:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 # SinE strategy is gf600_h_gu_R05_F100_L20000
% 0.19/0.51 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.19/0.51 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.51 #
% 0.19/0.51 # Presaturation interreduction done
% 0.19/0.51 # Number of axioms: 958 Number of unprocessed: 763
% 0.19/0.51 # Tableaux proof search.
% 0.19/0.51 # APR header successfully linked.
% 0.19/0.51 # Hello from C++
% 0.19/0.51 # The folding up rule is enabled...
% 0.19/0.51 # Local unification is enabled...
% 0.19/0.51 # Any saturation attempts will use folding labels...
% 0.19/0.51 # 763 beginning clauses after preprocessing and clausification
% 0.19/0.51 # Creating start rules for all 1 conjectures.
% 0.19/0.51 # There are 1 start rule candidates:
% 0.19/0.51 # Found 84 unit axioms.
% 0.19/0.51 # 1 start rule tableaux created.
% 0.19/0.51 # 679 extension rule candidate clauses
% 0.19/0.51 # 84 unit axiom clauses
% 0.19/0.51
% 0.19/0.51 # Requested 8, 32 cores available to the main process.
% 0.19/0.51 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.51 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.19/0.51 # There were 0 total branch saturation attempts.
% 0.19/0.51 # There were 0 of these attempts blocked.
% 0.19/0.51 # There were 0 deferred branch saturation attempts.
% 0.19/0.51 # There were 0 free duplicated saturations.
% 0.19/0.51 # There were 0 total successful branch saturations.
% 0.19/0.51 # There were 0 successful branch saturations in interreduction.
% 0.19/0.51 # There were 0 successful branch saturations on the branch.
% 0.19/0.51 # There were 0 successful branch saturations after the branch.
% 0.19/0.51 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 # Begin clausification derivation
% 0.19/0.51
% 0.19/0.51 # End clausification derivation
% 0.19/0.51 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.51 cnf(i_0_1638, plain, (v_n____=v_i____)).
% 0.19/0.51 cnf(i_0_1246, plain, (c_InductTermi_OIT(v_u____))).
% 0.19/0.51 cnf(i_0_1247, plain, (c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)))).
% 0.19/0.51 cnf(i_0_2047, plain, (class_Divides_Osemiring__div(tc_nat))).
% 0.19/0.51 cnf(i_0_1984, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.19/0.51 cnf(i_0_1626, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.19/0.51 cnf(i_0_2156, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.19/0.51 cnf(i_0_2198, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1962, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.51 cnf(i_0_2199, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.19/0.51 cnf(i_0_1242, plain, (c_InductTermi_OIT(c_Lambda_OdB_OVar(X1)))).
% 0.19/0.51 cnf(i_0_1598, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1444, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1426, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1986, plain, (c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1427, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1435, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1445, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1443, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1987, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1434, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1446, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1944, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1475, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1476, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1662, plain, (c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=X1)).
% 0.19/0.51 cnf(i_0_1635, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)).
% 0.19/0.51 cnf(i_0_1298, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1259, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)).
% 0.19/0.51 cnf(i_0_1335, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1580, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1533, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1532, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1542, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1603, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1604, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat)=X2)).
% 0.19/0.51 cnf(i_0_1312, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1560, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1629, plain, (c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(X1),X2),c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.51 cnf(i_0_1255, plain, (c_Lambda_OdB_OAbs(c_Lambda_Olift(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))=c_Lambda_Olift(c_Lambda_OdB_OAbs(X1),X2))).
% 0.19/0.51 cnf(i_0_1588, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1257, plain, (c_Lambda_OdB_OApp(c_Lambda_Olift(X1,X2),c_Lambda_Olift(X3,X2))=c_Lambda_Olift(c_Lambda_OdB_OApp(X1,X3),X2))).
% 0.19/0.51 cnf(i_0_1488, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1622, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1502, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1515, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1248, plain, (c_Lambda_Olift(c_Lambda_Oliftn(X1,X2,X3),X3)=c_Lambda_Oliftn(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3))).
% 0.19/0.51 cnf(i_0_1518, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_1540, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_1256, plain, (c_Lambda_OdB_OAbs(c_Lambda_Osubst(X1,c_Lambda_Olift(X2,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))=c_Lambda_Osubst(c_Lambda_OdB_OAbs(X1),X2,X3))).
% 0.19/0.51 cnf(i_0_1660, plain, (c_Lambda_OdB_OAbs(c_Lambda_Oliftn(X1,X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))=c_Lambda_Oliftn(X1,c_Lambda_OdB_OAbs(X2),X3))).
% 0.19/0.51 cnf(i_0_1634, plain, (c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X2,X3),c_Lambda_Osubst(X4,X2,X3))=c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,X4),X2,X3))).
% 0.19/0.51 cnf(i_0_1624, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1543, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1623, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1544, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1861, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1663, plain, (c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Orderings_Oord__class_Omax(X1,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1673, plain, (c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Orderings_Oord__class_Omin(X1,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1644, plain, (c_Lambda_OdB_OApp(c_Lambda_Oliftn(X1,X2,X3),c_Lambda_Oliftn(X1,X4,X3))=c_Lambda_Oliftn(X1,c_Lambda_OdB_OApp(X2,X4),X3))).
% 0.19/0.51 cnf(i_0_1557, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1541, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat))).
% 0.19/0.51 cnf(i_0_1658, plain, (c_Lambda_OdB_OAbs(c_Lambda_Osubst(X1,c_Lambda_Oliftn(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))=c_Lambda_Osubst(c_Lambda_OdB_OAbs(X1),c_Lambda_Oliftn(X2,X3,c_HOL_Ozero__class_Ozero(tc_nat)),X2))).
% 0.19/0.51 cnf(i_0_1454, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1455, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1487, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1471, plain, (c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1853, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=c_Orderings_Oord__class_Omax(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1501, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1495, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1496, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1240, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.51 cnf(i_0_1420, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1441, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1652, plain, (~c_Lambda_Obeta(c_Lambda_OdB_OVar(X1),X2))).
% 0.19/0.51 cnf(i_0_1529, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1657, plain, (c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.19/0.51 cnf(i_0_1438, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1645, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OApp(X2,X3))).
% 0.19/0.51 cnf(i_0_1639, plain, (c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OApp(X2,X3))).
% 0.19/0.51 cnf(i_0_1676, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=X1)).
% 0.19/0.51 cnf(i_0_1592, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1591, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1575, plain, (~c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1243, plain, (c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))|~c_InductTermi_OIT(X1))).
% 0.19/0.51 cnf(i_0_1425, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1659, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.19/0.51 cnf(i_0_1684, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.51 cnf(i_0_1245, plain, (c_InductTermi_OIT(c_Lambda_Olift(X1,X2))|~c_InductTermi_OIT(X1))).
% 0.19/0.51 cnf(i_0_1429, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1656, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.19/0.51 cnf(i_0_1739, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.51 cnf(i_0_1729, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.51 cnf(i_0_1430, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_2161, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.51 cnf(i_0_1980, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.51 cnf(i_0_1680, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.51 cnf(i_0_1421, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1436, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=X2)).
% 0.19/0.51 cnf(i_0_2158, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.51 cnf(i_0_2090, plain, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.51 cnf(i_0_1640, plain, (X1=X2|c_Lambda_OdB_OApp(X3,X1)!=c_Lambda_OdB_OApp(X4,X2))).
% 0.19/0.51 cnf(i_0_1641, plain, (X1=X2|c_Lambda_OdB_OApp(X1,X3)!=c_Lambda_OdB_OApp(X2,X4))).
% 0.19/0.51 cnf(i_0_1950, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.51 cnf(i_0_1428, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1285, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_2137, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.19/0.51 cnf(i_0_2094, plain, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1))).
% 0.19/0.51 cnf(i_0_1693, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.51 cnf(i_0_2074, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.51 cnf(i_0_1539, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1621, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1620, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1847, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 0.19/0.51 cnf(i_0_2191, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_1585, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1551, plain, (~c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1873, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.51 cnf(i_0_2068, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.51 cnf(i_0_1279, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1337, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1338, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1993, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))).
% 0.19/0.51 cnf(i_0_1241, plain, (c_InductTermi_OIT(c_Lambda_OdB_OApp(X1,c_Lambda_OdB_OVar(X2)))|~c_InductTermi_OIT(X1))).
% 0.19/0.51 cnf(i_0_1961, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.51 cnf(i_0_2002, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.51 cnf(i_0_2095, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oabs__class_Oabs(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.51 cnf(i_0_2138, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Ouminus__class_Ouminus(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.51 cnf(i_0_1919, plain, (c_Orderings_Oord__class_Omax(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.19/0.51 cnf(i_0_1278, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_2097, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.19/0.51 cnf(i_0_1918, plain, (c_Orderings_Oord__class_Omin(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.19/0.51 cnf(i_0_1960, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.51 cnf(i_0_1753, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.51 cnf(i_0_1535, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1244, plain, (c_InductTermi_OIT(c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))|~c_InductTermi_OIT(X1))).
% 0.19/0.51 cnf(i_0_1407, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_2176, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))).
% 0.19/0.51 cnf(i_0_1766, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.51 cnf(i_0_1910, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omax(X1,X2,X3)!=X2|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_1913, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omin(X1,X2,X3)!=X1|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_2113, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.51 cnf(i_0_1553, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,tc_nat)!=c_HOL_Oplus__class_Oplus(X3,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1413, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.51 cnf(i_0_1554, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X2,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_1661, plain, (c_Lambda_Obeta(c_Lambda_OdB_OAbs(X1),c_Lambda_OdB_OAbs(X2))|~c_Lambda_Obeta(X1,X2))).
% 0.19/0.51 cnf(i_0_2190, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.51 cnf(i_0_1749, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.51 cnf(i_0_2172, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.51 cnf(i_0_1505, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1506, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1465, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1728, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.51 cnf(i_0_1327, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=X1)).
% 0.19/0.51 cnf(i_0_2125, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.51 cnf(i_0_1743, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.51 cnf(i_0_1615, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_2044, plain, (c_Divides_Odiv__class_Omod(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.19/0.51 cnf(i_0_2013, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3))).
% 0.19/0.51 cnf(i_0_2015, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_1870, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.51 cnf(i_0_1251, plain, (c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1424, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1485, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_2045, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.19/0.51 cnf(i_0_2171, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.51 cnf(i_0_2003, plain, (X1=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)!=c_HOL_Oinverse__class_Oinverse(X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.51 cnf(i_0_2016, plain, (c_Divides_Odiv__class_Omod(X1,X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_2075, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_2197, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.19/0.51 cnf(i_0_1460, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1408, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1715, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.51 cnf(i_0_2055, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_2083, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.51 cnf(i_0_2017, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_Divides_Odiv__class_Omod(X2,X1,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.51 cnf(i_0_1891, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X3),X3))).
% 0.19/0.51 cnf(i_0_1871, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.51 cnf(i_0_1755, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.51 cnf(i_0_2005, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.51 cnf(i_0_2196, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_1892, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3))).
% 0.19/0.51 cnf(i_0_1930, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X4,X2,X3),X3))).
% 0.19/0.51 cnf(i_0_1714, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.51 cnf(i_0_1304, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1782, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.51 cnf(i_0_1844, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.51 cnf(i_0_1990, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|~class_Ring__and__Field_Odivision__ring(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.51 cnf(i_0_1737, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.19/0.51 cnf(i_0_1929, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3))).
% 0.19/0.51 cnf(i_0_1900, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_1901, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_1625, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1781, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.51 cnf(i_0_2046, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 0.19/0.51 cnf(i_0_1432, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_2076, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.51 cnf(i_0_1925, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_1924, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_1952, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_1745, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.51 cnf(i_0_1431, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_2192, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_1601, plain, (X1=X2|~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_2086, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.51 cnf(i_0_1724, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.51 cnf(i_0_1953, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_1723, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.51 cnf(i_0_1735, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.51 cnf(i_0_1316, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1317, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1313, plain, (X1=X2|c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.51 cnf(i_0_1750, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.51 cnf(i_0_2059, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.51 cnf(i_0_2185, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_2081, plain, (c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.51 cnf(i_0_1889, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X2|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_1911, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X1|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_1914, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=X2|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_1982, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.51 cnf(i_0_1301, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1979, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2))).
% 0.19/0.51 cnf(i_0_1258, plain, (c_Lambda_Obeta(c_Lambda_Olift(X1,X2),c_Lambda_Olift(X3,X2))|~c_Lambda_Obeta(X1,X3))).
% 0.19/0.51 cnf(i_0_1503, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_2067, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.51 cnf(i_0_1912, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=X1|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_2170, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.51 cnf(i_0_2023, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_HOL_Oabs__class_Oabs(X1,X3)!=c_HOL_Oabs__class_Oabs(X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.51 cnf(i_0_2181, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2)=X1|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.51 cnf(i_0_1632, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_1504, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1464, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_2000, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=X3|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oinverse__class_Oinverse(X3,X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.51 cnf(i_0_1691, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_2100, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2))).
% 0.19/0.51 cnf(i_0_2070, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2))).
% 0.19/0.51 cnf(i_0_1463, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1528, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_1731, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.51 cnf(i_0_2102, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1))).
% 0.19/0.51 cnf(i_0_1974, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 0.19/0.51 cnf(i_0_1977, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 0.19/0.51 cnf(i_0_2098, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 0.19/0.51 cnf(i_0_1654, plain, (c_Lambda_Oliftn(X1,c_Lambda_OdB_OVar(X2),X3)=c_Lambda_OdB_OVar(X2)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_1343, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.51 cnf(i_0_1344, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.51 cnf(i_0_1878, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_2112, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 0.19/0.51 cnf(i_0_2084, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.51 cnf(i_0_2089, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.51 cnf(i_0_2060, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.51 cnf(i_0_1877, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_1484, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_2173, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.51 cnf(i_0_1947, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.51 cnf(i_0_2051, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1))).
% 0.19/0.51 cnf(i_0_2166, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Int_Onumber__ring(X4)|~class_Ring__and__Field_Oidom(X4))).
% 0.19/0.51 cnf(i_0_2182, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1)!=X2|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_1677, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_1946, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.51 cnf(i_0_1459, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1523, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1882, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_2178, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.51 cnf(i_0_1881, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_1493, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1593, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1564, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1838, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.51 cnf(i_0_2073, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.51 cnf(i_0_1854, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.51 cnf(i_0_1856, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.51 cnf(i_0_1569, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1536, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1570, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1596, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_2109, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2))).
% 0.19/0.52 cnf(i_0_2140, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2))).
% 0.19/0.52 cnf(i_0_2121, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.52 cnf(i_0_2104, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.52 cnf(i_0_2096, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.19/0.52 cnf(i_0_1618, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1606, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1717, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.52 cnf(i_0_1935, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)=X1|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_2177, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.52 cnf(i_0_2072, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Osgn__class_Osgn(X2,X1)!=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.52 cnf(i_0_1643, plain, (c_Lambda_Obeta(c_Lambda_OdB_OApp(X1,X2),c_Lambda_OdB_OApp(X3,X2))|~c_Lambda_Obeta(X1,X3))).
% 0.19/0.52 cnf(i_0_1642, plain, (c_Lambda_Obeta(c_Lambda_OdB_OApp(X1,X2),c_Lambda_OdB_OApp(X1,X3))|~c_Lambda_Obeta(X2,X3))).
% 0.19/0.52 cnf(i_0_1917, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=X1|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1566, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=X2|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1581, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=X2|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1860, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.19/0.52 cnf(i_0_1614, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_2012, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3))).
% 0.19/0.52 cnf(i_0_2014, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2))).
% 0.19/0.52 cnf(i_0_2091, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2))).
% 0.19/0.52 cnf(i_0_2054, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2))).
% 0.19/0.52 cnf(i_0_2115, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.52 cnf(i_0_1410, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1599, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_2114, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.52 cnf(i_0_1738, plain, (c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1756, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1807, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1806, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1586, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1249, plain, (c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2)=c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1794, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1741, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1811, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1752, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1552, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1305, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)|~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1306, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)|~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1802, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_2008, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_1773, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.52 cnf(i_0_2107, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|c_HOL_Oplus__class_Oplus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.52 cnf(i_0_2066, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.52 cnf(i_0_1594, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1494, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_2085, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.19/0.52 cnf(i_0_1280, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1991, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.52 cnf(i_0_1933, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=c_Orderings_Oord__class_Omax(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_2108, plain, (c_HOL_Ouminus__class_Ouminus(X1,X2)=X3|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.52 cnf(i_0_2187, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_2184, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_2052, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_1926, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=c_Orderings_Oord__class_Omin(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1319, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1318, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1809, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_2036, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_2179, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))).
% 0.19/0.52 cnf(i_0_2188, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))).
% 0.19/0.52 cnf(i_0_2092, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_2079, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_2037, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1978, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1412, plain, (X1=c_HOL_Oone__class_Oone(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat))).
% 0.19/0.52 cnf(i_0_2004, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Odivision__ring(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.52 cnf(i_0_1627, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|X1=X3|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1516, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)!=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_2080, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.52 cnf(i_0_2101, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_2071, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_1851, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.52 cnf(i_0_1630, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1613, plain, (X1=X2|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat)!=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1409, plain, (c_Orderings_Oord__class_Omax(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1998, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.52 cnf(i_0_1863, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.52 cnf(i_0_2103, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.52 cnf(i_0_2151, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.52 cnf(i_0_2149, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.52 cnf(i_0_2155, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.52 cnf(i_0_1457, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1583, plain, (X1=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1411, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1636, plain, (c_Lambda_Obeta(c_Lambda_Osubst(X1,X2,X3),c_Lambda_Osubst(X4,X2,X3))|~c_Lambda_Obeta(X1,X4))).
% 0.19/0.52 cnf(i_0_1764, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.52 cnf(i_0_2153, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.52 cnf(i_0_1995, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.52 cnf(i_0_1774, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1751, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2))).
% 0.19/0.52 cnf(i_0_1602, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1608, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1997, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.52 cnf(i_0_1949, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_1902, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.52 cnf(i_0_1903, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.52 cnf(i_0_2048, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=X1|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.52 cnf(i_0_1563, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1565, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1512, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1511, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_2077, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.52 cnf(i_0_1776, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1921, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.52 cnf(i_0_1920, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))).
% 0.19/0.52 cnf(i_0_1595, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1597, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1556, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_2174, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Osgn__if(X2))).
% 0.19/0.52 cnf(i_0_2193, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.52 cnf(i_0_1956, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4))).
% 0.19/0.52 cnf(i_0_1955, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.19/0.52 cnf(i_0_1893, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.52 cnf(i_0_1694, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1813, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_2050, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_2169, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.52 cnf(i_0_1894, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_1928, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.52 cnf(i_0_2078, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.52 cnf(i_0_1804, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_2061, plain, (c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_1286, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1287, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1685, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1651, plain, (c_Lambda_Oliftn(X1,c_Lambda_OdB_OVar(X2),X3)=c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))|c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1927, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_1791, plain, (c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1458, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1798, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1792, plain, (c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1796, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1330, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1958, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1376, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1814, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1800, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1828, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1284, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1264, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1375, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1865, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 0.19/0.52 cnf(i_0_2167, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_Int_Onumber__ring(X3))).
% 0.19/0.52 cnf(i_0_2110, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.52 cnf(i_0_2139, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.52 cnf(i_0_2120, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.52 cnf(i_0_1859, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.52 cnf(i_0_1867, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))).
% 0.19/0.52 cnf(i_0_2063, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.52 cnf(i_0_1862, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Oplus__class_Oplus(X1,X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.52 cnf(i_0_2105, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.52 cnf(i_0_1472, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X4,X2,tc_nat)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1550, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X2|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_2058, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.52 cnf(i_0_1938, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=c_Orderings_Oord__class_Omax(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1754, plain, (X1=X2|c_Power_Opower__class_Opower(X3,X1,X4)!=c_Power_Opower__class_Opower(X3,X2,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X3,X4))).
% 0.19/0.52 cnf(i_0_1890, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3))).
% 0.19/0.52 cnf(i_0_1908, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3))).
% 0.19/0.52 cnf(i_0_1899, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3))).
% 0.19/0.52 cnf(i_0_1888, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)=c_Orderings_Oord__class_Omin(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1562, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1360, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_2175, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Osgn__if(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.19/0.52 cnf(i_0_2025, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1909, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3))).
% 0.19/0.52 cnf(i_0_1834, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1795, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_2034, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1361, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1514, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_2064, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_2035, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3)=c_Divides_Odiv__class_Omod(X2,X1,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1808, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1721, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1736, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1589, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1252, plain, (c_Lambda_Olift(c_Lambda_Olift(X1,X2),c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=c_Lambda_Olift(c_Lambda_Olift(X1,X3),X2)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1963, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_1966, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_1765, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.52 cnf(i_0_1727, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1763, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1975, plain, (c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1976, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1964, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.52 cnf(i_0_1578, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1571, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1527, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_2056, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.52 cnf(i_0_1971, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.52 cnf(i_0_2099, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X3,X1,X2))).
% 0.19/0.52 cnf(i_0_2111, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 0.19/0.52 cnf(i_0_2128, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 0.19/0.52 cnf(i_0_1837, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1572, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1817, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.52 cnf(i_0_2123, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.52 cnf(i_0_1821, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_2132, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 0.19/0.52 cnf(i_0_2130, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))).
% 0.19/0.52 cnf(i_0_1587, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1483, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1538, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1829, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Oinverse__class_Odivide(X1,X3,X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.52 cnf(i_0_2134, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))).
% 0.19/0.52 cnf(i_0_1769, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X4,X3)|~c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3))).
% 0.19/0.52 cnf(i_0_2117, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.52 cnf(i_0_1547, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1473, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1288, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.52 cnf(i_0_1818, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Oinverse__class_Odivide(X1,X3,X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.52 cnf(i_0_2122, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.52 cnf(i_0_1759, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X4,X3))).
% 0.19/0.52 cnf(i_0_1965, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.52 cnf(i_0_1855, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.52 cnf(i_0_1857, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.52 cnf(i_0_1329, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.52 cnf(i_0_2180, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_2189, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_1718, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_2087, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_lessequals(X1,X3,X2))).
% 0.19/0.52 cnf(i_0_2065, plain, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_HOL_Oord__class_Oless(X1,X3,X2))).
% 0.19/0.52 cnf(i_0_2186, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_2183, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_2053, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.52 cnf(i_0_1819, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1883, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.52 cnf(i_0_1887, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))).
% 0.19/0.52 cnf(i_0_1391, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_lessequals(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.52 cnf(i_0_2009, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)|~class_Divides_Osemiring__div(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.19/0.52 cnf(i_0_1954, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 0.19/0.52 cnf(i_0_1874, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_1322, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1886, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_2021, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.52 cnf(i_0_2018, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.52 cnf(i_0_2019, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.52 cnf(i_0_1350, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1351, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat))).
% 0.19/0.52 cnf(i_0_2106, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|X1=X2|c_HOL_Otimes__class_Otimes(X1,X1,X3)!=c_HOL_Otimes__class_Otimes(X2,X2,X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.52 cnf(i_0_1775, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_2022, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.52 cnf(i_0_1836, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1981, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.52 cnf(i_0_2118, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.52 cnf(i_0_1339, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1357, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1340, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1815, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_2157, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.52 cnf(i_0_1973, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__ring(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.19/0.52 cnf(i_0_1271, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1383, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1273, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_2160, plain, (c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.52 cnf(i_0_1356, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1398, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1397, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1388, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1968, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2)=c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.52 cnf(i_0_1936, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1385, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1734, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1744, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_2020, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(X1,X4,X3)|~class_Divides_Osemiring__div(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3))).
% 0.19/0.52 cnf(i_0_1915, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1387, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1263, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1374, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1331, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_2159, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)|~class_Ring__and__Field_Osemiring__1(X2))).
% 0.19/0.52 cnf(i_0_2062, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.52 cnf(i_0_1768, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1748, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1790, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X3,X1,X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1799, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X3,X1,X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_2141, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.52 cnf(i_0_1283, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1267, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1353, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1309, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_2069, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.52 cnf(i_0_1969, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.52 cnf(i_0_1793, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(X3,X1,X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1797, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X3,X1,X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_2144, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.52 cnf(i_0_2145, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.52 cnf(i_0_1787, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1308, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1307, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1310, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1395, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1801, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_2146, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.52 cnf(i_0_2147, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4))).
% 0.19/0.52 cnf(i_0_1276, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1381, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1698, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1394, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1393, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1396, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1268, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1846, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))).
% 0.19/0.52 cnf(i_0_1275, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1382, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_2119, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3)|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3))).
% 0.19/0.52 cnf(i_0_2194, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.52 cnf(i_0_1265, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1352, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1355, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1266, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1810, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1945, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_lessequals(X2,X4,tc_nat))).
% 0.19/0.52 cnf(i_0_1742, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_2006, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.52 cnf(i_0_2007, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.52 cnf(i_0_2038, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(X1,X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.19/0.52 cnf(i_0_1354, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1545, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1519, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1992, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.52 cnf(i_0_2039, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X4))).
% 0.19/0.52 cnf(i_0_1948, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_2057, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.52 cnf(i_0_2148, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_2150, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.52 cnf(i_0_1864, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.52 cnf(i_0_1253, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),c_Lambda_Olift(X3,X2),c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=c_Lambda_Olift(c_Lambda_Osubst(X1,X3,X4),X2)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1254, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Olift(X3,X2),X4)=c_Lambda_Olift(c_Lambda_Osubst(X1,X3,X4),X2)|~c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_1346, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1697, plain, (c_HOL_Oplus__class_Oplus(X1,X1,X2)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.52 cnf(i_0_1937, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)=c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.19/0.52 cnf(i_0_2152, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_2154, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.52 cnf(i_0_1772, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_1916, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)=c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.19/0.52 cnf(i_0_1345, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1261, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1262, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1839, plain, (c_HOL_Oinverse__class_Odivide(X1,X2,X3)=c_HOL_Oinverse__class_Odivide(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Otimes__class_Otimes(X1,X5,X3)!=c_HOL_Otimes__class_Otimes(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1671, plain, (c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1803, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1672, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1840, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X5,X3)!=c_HOL_Oinverse__class_Odivide(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1832, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_2168, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)!=c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.52 cnf(i_0_1959, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X5,X3),X4,X3)|~c_lessequals(X2,X5,tc_nat))).
% 0.19/0.52 cnf(i_0_1951, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~c_lessequals(X2,X5,tc_nat))).
% 0.19/0.52 cnf(i_0_1548, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.52 cnf(i_0_1669, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_1559, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1474, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1788, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.52 cnf(i_0_1696, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1957, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X5,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_1740, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.19/0.52 cnf(i_0_2143, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))).
% 0.19/0.52 cnf(i_0_1972, plain, (X1=X2|c_Power_Opower__class_Opower(X1,X3,X4)!=c_Power_Opower__class_Opower(X2,X3,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4))).
% 0.19/0.52 cnf(i_0_1713, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1733, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_lessequals(X2,X4,tc_nat))).
% 0.19/0.52 cnf(i_0_2195, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 0.19/0.52 cnf(i_0_1941, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),c_Orderings_Oord__class_Omax(X1,X4,X3),X3)=c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1771, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_lessequals(X2,X4,tc_nat))).
% 0.19/0.52 cnf(i_0_1758, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat))).
% 0.19/0.52 cnf(i_0_1342, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1880, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3)=c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1967, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.52 cnf(i_0_1341, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1401, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1369, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1701, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.52 cnf(i_0_1711, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1726, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 0.19/0.52 cnf(i_0_1746, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.52 cnf(i_0_1747, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.52 cnf(i_0_1670, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3),c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.52 cnf(i_0_1816, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1404, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1373, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1666, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3),c_HOL_Oone__class_Oone(X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.52 cnf(i_0_1785, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1712, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1414, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1415, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1379, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1293, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1784, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1700, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1499, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1452, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1497, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_2093, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.52 cnf(i_0_1942, plain, (c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 0.19/0.52 cnf(i_0_1377, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1289, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1985, plain, (c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 0.19/0.52 cnf(i_0_1852, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.19/0.52 cnf(i_0_1848, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.19/0.52 cnf(i_0_1450, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1940, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),c_Orderings_Oord__class_Omax(X4,X2,X3),X3)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1879, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X4,X2,X3),X3)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_2043, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1705, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_2042, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_2033, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.19/0.52 cnf(i_0_2030, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))).
% 0.19/0.52 cnf(i_0_2032, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_2029, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1970, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.52 cnf(i_0_1704, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1831, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1399, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1303, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1367, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1366, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1830, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1674, plain, (X1=X2|c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X4)!=c_Power_Opower__class_Opower(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4))).
% 0.19/0.52 cnf(i_0_1762, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3))).
% 0.19/0.52 cnf(i_0_1400, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1368, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1403, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1825, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1302, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1371, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1402, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1370, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1833, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1372, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1489, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat),X3,tc_nat),X4,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1250, plain, (c_Lambda_Osubst(c_Lambda_Osubst(X1,c_Lambda_Olift(X2,X3),c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_Lambda_Osubst(X5,X2,X4),X3)=c_Lambda_Osubst(c_Lambda_Osubst(X1,X5,X3),X2,X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat))).
% 0.19/0.52 cnf(i_0_2082, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.52 cnf(i_0_1858, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.52 cnf(i_0_2164, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)|~class_Int_Onumber__ring(X5)|~class_Ring__and__Field_Oidom(X5))).
% 0.19/0.52 cnf(i_0_1720, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1719, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X4,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1869, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.52 cnf(i_0_1491, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1323, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1826, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_nat),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3)|~c_lessequals(X4,X2,tc_nat))).
% 0.19/0.52 cnf(i_0_1296, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1325, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X4,X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.52 cnf(i_0_1292, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1324, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_2027, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1380, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1294, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1295, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.52 cnf(i_0_1378, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1778, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_2026, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1290, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1326, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.52 cnf(i_0_1291, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1348, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1707, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Ofield(X4))).
% 0.19/0.52 cnf(i_0_1500, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))).
% 0.19/0.52 cnf(i_0_1453, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))).
% 0.19/0.52 cnf(i_0_1498, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1451, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1706, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.52 cnf(i_0_1708, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Ofield(X4))).
% 0.19/0.52 cnf(i_0_1260, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1349, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1347, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~c_lessequals(X1,X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1416, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1827, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1689, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1690, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_1757, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3),c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.52 cnf(i_0_1281, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X5,X2,X3)|~c_lessequals(X1,X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_2162, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.52 cnf(i_0_1850, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.52 cnf(i_0_1277, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,X4,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.52 cnf(i_0_2049, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Otimes__class_Otimes(X4,X5,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X2),X5,X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X4,X2))).
% 0.19/0.52 cnf(i_0_1939, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.19/0.52 cnf(i_0_1934, plain, (c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.52 cnf(i_0_1481, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))).
% 0.19/0.52 cnf(i_0_1482, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))).
% 0.19/0.52 cnf(i_0_1994, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.52 cnf(i_0_1996, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.19/0.52 cnf(i_0_1709, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_2031, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_2028, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))).
% 0.19/0.52 cnf(i_0_1703, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1835, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X5,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.52 cnf(i_0_1849, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.52 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.52 # Begin printing tableau
% 0.19/0.52 # Found 3 steps
% 0.19/0.52 cnf(i_0_1240, negated_conjecture, (~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)))), inference(start_rule)).
% 0.19/0.52 cnf(i_0_2200, plain, (~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)))), inference(extension_rule, [i_0_1245])).
% 0.19/0.52 cnf(i_0_2210, plain, (~c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))), inference(closure_rule, [i_0_1247])).
% 0.19/0.52 # End printing tableau
% 0.19/0.52 # SZS output end
% 0.19/0.52 # Branches closed with saturation will be marked with an "s"
% 0.19/0.52 # Returning from population with 1 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.52 # We now have 1 tableaux to operate on
% 0.19/0.52 # Found closed tableau during pool population.
% 0.19/0.52 # Proof search is over...
% 0.19/0.52 # Freeing feature tree
%------------------------------------------------------------------------------