TSTP Solution File: SWV679-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV679-1 : 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 : n006.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 : Wed Jul 20 18:23:06 EDT 2022

% Result   : Unsatisfiable 1.32s 0.64s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV679-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 21:50:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # No SInE strategy applied
% 0.18/0.45  # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.18/0.45  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.18/0.45  #
% 0.18/0.45  # Presaturation interreduction done
% 0.18/0.45  # Number of axioms: 687 Number of unprocessed: 540
% 0.18/0.45  # Tableaux proof search.
% 0.18/0.45  # APR header successfully linked.
% 0.18/0.45  # Hello from C++
% 0.18/0.46  # The folding up rule is enabled...
% 0.18/0.46  # Local unification is enabled...
% 0.18/0.46  # Any saturation attempts will use folding labels...
% 0.18/0.46  # 540 beginning clauses after preprocessing and clausification
% 0.18/0.46  # Creating start rules for all 2 conjectures.
% 0.18/0.46  # There are 2 start rule candidates:
% 0.18/0.46  # Found 81 unit axioms.
% 0.18/0.46  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.18/0.46  # 2 start rule tableaux created.
% 0.18/0.46  # 459 extension rule candidate clauses
% 0.18/0.46  # 81 unit axiom clauses
% 0.18/0.46  
% 0.18/0.46  # Requested 8, 32 cores available to the main process.
% 0.18/0.46  # There are not enough tableaux to fork, creating more from the initial 2
% 0.18/0.46  # Returning from population with 32 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.46  # We now have 32 tableaux to operate on
% 1.32/0.64  # There were 1 total branch saturation attempts.
% 1.32/0.64  # There were 0 of these attempts blocked.
% 1.32/0.64  # There were 0 deferred branch saturation attempts.
% 1.32/0.64  # There were 0 free duplicated saturations.
% 1.32/0.64  # There were 1 total successful branch saturations.
% 1.32/0.64  # There were 0 successful branch saturations in interreduction.
% 1.32/0.64  # There were 0 successful branch saturations on the branch.
% 1.32/0.64  # There were 1 successful branch saturations after the branch.
% 1.32/0.64  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/0.64  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/0.64  # Begin clausification derivation
% 1.32/0.64  
% 1.32/0.64  # End clausification derivation
% 1.32/0.64  # Begin listing active clauses obtained from FOF to CNF conversion
% 1.32/0.64  cnf(i_0_1328, negated_conjecture, (class_Ring__and__Field_Ofield(t_a))).
% 1.32/0.64  cnf(i_0_1362, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 1.32/0.64  cnf(i_0_1360, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 1.32/0.64  cnf(i_0_1361, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 1.32/0.64  cnf(i_0_1363, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 1.32/0.64  cnf(i_0_1358, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 1.32/0.64  cnf(i_0_1366, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 1.32/0.64  cnf(i_0_1374, plain, (class_Power_Opower(tc_nat))).
% 1.32/0.64  cnf(i_0_1369, plain, (class_Divides_Osemiring__div(tc_nat))).
% 1.32/0.64  cnf(i_0_1353, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 1.32/0.64  cnf(i_0_1359, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 1.32/0.64  cnf(i_0_1355, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 1.32/0.64  cnf(i_0_1371, plain, (class_Orderings_Opreorder(tc_nat))).
% 1.32/0.64  cnf(i_0_1373, plain, (class_Orderings_Oorder(tc_nat))).
% 1.32/0.64  cnf(i_0_1365, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 1.32/0.64  cnf(i_0_1370, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 1.32/0.64  cnf(i_0_1372, plain, (class_Orderings_Olinorder(tc_nat))).
% 1.32/0.64  cnf(i_0_1368, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 1.32/0.64  cnf(i_0_1352, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 1.32/0.64  cnf(i_0_1354, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 1.32/0.64  cnf(i_0_1364, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 1.32/0.64  cnf(i_0_1356, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 1.32/0.64  cnf(i_0_1357, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 1.32/0.64  cnf(i_0_1367, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 1.32/0.64  cnf(i_0_1295, plain, (c_lessequals(X1,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1092, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1107, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 1.32/0.64  cnf(i_0_1108, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 1.32/0.64  cnf(i_0_806, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1010, plain, (c_GCD_Ogcd__class_Ogcd(X1,X1,tc_nat)=X1)).
% 1.32/0.64  cnf(i_0_1110, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 1.32/0.64  cnf(i_0_1142, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_841, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 1.32/0.64  cnf(i_0_1323, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1007, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 1.32/0.64  cnf(i_0_843, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 1.32/0.64  cnf(i_0_1006, plain, (c_GCD_Ogcd__class_Ogcd(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 1.32/0.64  cnf(i_0_810, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))).
% 1.32/0.64  cnf(i_0_707, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat))).
% 1.32/0.64  cnf(i_0_700, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1074, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1073, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1095, plain, (c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1144, plain, (c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 1.32/0.64  cnf(i_0_1112, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat)=X1)).
% 1.32/0.64  cnf(i_0_1111, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat)=X2)).
% 1.32/0.64  cnf(i_0_704, 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))).
% 1.32/0.64  cnf(i_0_851, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_852, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_775, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 1.32/0.64  cnf(i_0_997, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat))).
% 1.32/0.64  cnf(i_0_1100, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_980, plain, (c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat))).
% 1.32/0.64  cnf(i_0_1012, plain, (c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))=c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat))).
% 1.32/0.64  cnf(i_0_1109, 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))).
% 1.32/0.64  cnf(i_0_761, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_Divides_Odiv__class_Omod(X2,X1,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_712, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1212, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_711, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_691, 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))).
% 1.32/0.64  cnf(i_0_1137, plain, (c_GCD_Ogcd__class_Ogcd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)=c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1104, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X2,c_Suc(X3),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1103, 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))).
% 1.32/0.64  cnf(i_0_1102, 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))).
% 1.32/0.64  cnf(i_0_1187, plain, (c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),X2,tc_nat)=c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_743, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_742, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1018, plain, (c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1205, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_692, 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))).
% 1.32/0.64  cnf(i_0_1136, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,c_GCD_Ogcd__class_Ogcd(X1,X3,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1315, plain, (~c_lessequals(v_n,v_m,tc_nat))).
% 1.32/0.64  cnf(i_0_1113, plain, (c_HOL_Ozero__class_Ozero(t_a)!=v_a)).
% 1.32/0.64  cnf(i_0_821, plain, (c_Suc(X1)!=X1)).
% 1.32/0.64  cnf(i_0_1162, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 1.32/0.64  cnf(i_0_1329, negated_conjecture, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)!=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a))).
% 1.32/0.64  cnf(i_0_1150, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_989, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1068, plain, (~c_lessequals(c_Suc(X1),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1179, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1180, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1339, plain, (class_OrderedGroup_Ocomm__monoid__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_917, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 1.32/0.64  cnf(i_0_1336, plain, (class_Ring__and__Field_Ocomm__semiring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1344, plain, (class_OrderedGroup_Oab__group__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1337, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1340, plain, (class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1335, plain, (class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1345, plain, (class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1351, plain, (class_Power_Opower(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1338, plain, (class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1343, plain, (class_Ring__and__Field_Osemiring__0(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1350, plain, (class_Ring__and__Field_Oidom(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1347, plain, (class_OrderedGroup_Omonoid__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1342, plain, (class_Ring__and__Field_Osemiring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1333, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1334, plain, (class_OrderedGroup_Ocancel__semigroup__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1341, plain, (class_Ring__and__Field_Ocomm__ring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1348, plain, (class_OrderedGroup_Ogroup__add(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1332, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1349, plain, (class_Ring__and__Field_Oring__1(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1346, plain, (class_OrderedGroup_Omonoid__mult(X1)|~class_Ring__and__Field_Ofield(X1))).
% 1.32/0.64  cnf(i_0_1025, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 1.32/0.64  cnf(i_0_1153, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.32/0.64  cnf(i_0_1149, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.32/0.64  cnf(i_0_1152, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.32/0.64  cnf(i_0_1085, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1094, plain, (~c_lessequals(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1132, 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))).
% 1.32/0.64  cnf(i_0_1114, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_955, plain, (~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1269, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 1.32/0.64  cnf(i_0_1071, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_979, 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))).
% 1.32/0.64  cnf(i_0_832, plain, (c_Transcendental_Oexp(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__field(X2)|~class_SEQ_Obanach(X2))).
% 1.32/0.64  cnf(i_0_725, 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))).
% 1.32/0.64  cnf(i_0_890, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.32/0.64  cnf(i_0_897, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.32/0.64  cnf(i_0_1069, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_764, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=X2)).
% 1.32/0.64  cnf(i_0_934, 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))).
% 1.32/0.64  cnf(i_0_1270, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_767, 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))).
% 1.32/0.64  cnf(i_0_1214, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 1.32/0.64  cnf(i_0_915, 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))).
% 1.32/0.64  cnf(i_0_807, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 1.32/0.64  cnf(i_0_1299, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 1.32/0.64  cnf(i_0_1298, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.32/0.64  cnf(i_0_1220, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.32/0.64  cnf(i_0_768, 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))).
% 1.32/0.64  cnf(i_0_1215, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 1.32/0.64  cnf(i_0_1225, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.32/0.64  cnf(i_0_1224, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.32/0.64  cnf(i_0_1158, plain, (~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_736, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))).
% 1.32/0.64  cnf(i_0_1070, plain, (c_lessequals(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1000, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 1.32/0.64  cnf(i_0_747, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_916, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 1.32/0.64  cnf(i_0_1185, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)!=X1)).
% 1.32/0.64  cnf(i_0_930, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1047, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 1.32/0.64  cnf(i_0_1065, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat))).
% 1.32/0.64  cnf(i_0_1308, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_998, plain, (c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_RealVector_Oreal__normed__field(X1)|~class_SEQ_Obanach(X1))).
% 1.32/0.64  cnf(i_0_1048, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 1.32/0.64  cnf(i_0_1207, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 1.32/0.64  cnf(i_0_901, plain, (~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1172, 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))).
% 1.32/0.64  cnf(i_0_1303, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))).
% 1.32/0.64  cnf(i_0_1089, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1088, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1291, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1173, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_918, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 1.32/0.64  cnf(i_0_863, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat))).
% 1.32/0.64  cnf(i_0_783, plain, (X1=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_748, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1093, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_831, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))).
% 1.32/0.64  cnf(i_0_920, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 1.32/0.64  cnf(i_0_1079, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_978, 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))).
% 1.32/0.64  cnf(i_0_977, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 1.32/0.64  cnf(i_0_762, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 1.32/0.64  cnf(i_0_967, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,tc_nat)!=c_HOL_Oplus__class_Oplus(X3,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1213, plain, (c_lessequals(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1304, 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))).
% 1.32/0.64  cnf(i_0_928, 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))).
% 1.32/0.64  cnf(i_0_780, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_nat)=X1|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_734, 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))).
% 1.32/0.64  cnf(i_0_966, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X2,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_1143, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 1.32/0.64  cnf(i_0_766, 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))).
% 1.32/0.64  cnf(i_0_1183, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X2|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1184, plain, (c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat)=X1|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_999, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_931, 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))).
% 1.32/0.64  cnf(i_0_1053, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 1.32/0.64  cnf(i_0_1049, 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))).
% 1.32/0.64  cnf(i_0_1147, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_795, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X3,X2,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1116, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 1.32/0.64  cnf(i_0_1265, 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))).
% 1.32/0.64  cnf(i_0_1105, 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))).
% 1.32/0.64  cnf(i_0_1066, plain, (c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_932, 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))).
% 1.32/0.64  cnf(i_0_796, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_1296, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_1239, 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))).
% 1.32/0.64  cnf(i_0_1240, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 1.32/0.64  cnf(i_0_1301, plain, (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 1.32/0.64  cnf(i_0_1015, plain, (c_Divides_Odiv__class_Omod(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 1.32/0.64  cnf(i_0_753, 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))).
% 1.32/0.64  cnf(i_0_699, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 1.32/0.64  cnf(i_0_929, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1087, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_1086, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1041, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 1.32/0.64  cnf(i_0_872, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 1.32/0.64  cnf(i_0_873, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 1.32/0.64  cnf(i_0_976, 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))).
% 1.32/0.64  cnf(i_0_1042, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 1.32/0.64  cnf(i_0_1266, 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))).
% 1.32/0.64  cnf(i_0_1318, 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))).
% 1.32/0.64  cnf(i_0_1319, 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))).
% 1.32/0.64  cnf(i_0_765, 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))).
% 1.32/0.64  cnf(i_0_1168, 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))).
% 1.32/0.64  cnf(i_0_1307, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 1.32/0.64  cnf(i_0_1078, plain, (X1=c_Suc(X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_Suc(X2),tc_nat))).
% 1.32/0.64  cnf(i_0_1243, 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))).
% 1.32/0.64  cnf(i_0_837, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 1.32/0.64  cnf(i_0_1140, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))).
% 1.32/0.64  cnf(i_0_805, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_952, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_953, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1099, 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))).
% 1.32/0.64  cnf(i_0_844, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 1.32/0.64  cnf(i_0_970, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X4))).
% 1.32/0.64  cnf(i_0_971, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 1.32/0.64  cnf(i_0_1321, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 1.32/0.64  cnf(i_0_972, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)!=c_HOL_Oplus__class_Oplus(X2,X3,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 1.32/0.64  cnf(i_0_1145, 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))).
% 1.32/0.64  cnf(i_0_760, plain, (c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1083, 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))).
% 1.32/0.64  cnf(i_0_927, 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))).
% 1.32/0.64  cnf(i_0_1260, 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))).
% 1.32/0.64  cnf(i_0_835, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Omonoid__add(X2))).
% 1.32/0.64  cnf(i_0_956, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1014, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 1.32/0.64  cnf(i_0_1043, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 1.32/0.64  cnf(i_0_840, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 1.32/0.64  cnf(i_0_1059, 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))).
% 1.32/0.64  cnf(i_0_1277, 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))).
% 1.32/0.64  cnf(i_0_839, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 1.32/0.64  cnf(i_0_836, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 1.32/0.64  cnf(i_0_1045, 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))).
% 1.32/0.64  cnf(i_0_862, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1129, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1320, 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))).
% 1.32/0.64  cnf(i_0_1245, 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))).
% 1.32/0.64  cnf(i_0_876, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.32/0.64  cnf(i_0_1062, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))).
% 1.32/0.64  cnf(i_0_1276, plain, (c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))=c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1278, 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))).
% 1.32/0.64  cnf(i_0_935, plain, (c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1182, 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))).
% 1.32/0.64  cnf(i_0_878, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.32/0.64  cnf(i_0_1280, 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))).
% 1.32/0.64  cnf(i_0_1316, 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))).
% 1.32/0.64  cnf(i_0_751, 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))).
% 1.32/0.64  cnf(i_0_737, 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))).
% 1.32/0.64  cnf(i_0_1166, 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))).
% 1.32/0.64  cnf(i_0_1249, 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))).
% 1.32/0.64  cnf(i_0_1169, 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))).
% 1.32/0.64  cnf(i_0_752, 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))).
% 1.32/0.64  cnf(i_0_1146, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_800, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_838, 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))).
% 1.32/0.64  cnf(i_0_833, 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))).
% 1.32/0.64  cnf(i_0_969, 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))).
% 1.32/0.64  cnf(i_0_1133, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_799, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_1181, 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))).
% 1.32/0.64  cnf(i_0_986, plain, (c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1134, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_GCD_Ogcd__class_Ogcd(X1,X2,tc_nat),tc_nat))).
% 1.32/0.64  cnf(i_0_731, 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))).
% 1.32/0.64  cnf(i_0_1210, 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))).
% 1.32/0.64  cnf(i_0_895, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.32/0.64  cnf(i_0_719, plain, (c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))!=X2)).
% 1.32/0.64  cnf(i_0_1211, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 1.32/0.64  cnf(i_0_782, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1165, 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))).
% 1.32/0.64  cnf(i_0_1118, 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))).
% 1.32/0.64  cnf(i_0_1194, 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))).
% 1.32/0.64  cnf(i_0_975, 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))).
% 1.32/0.64  cnf(i_0_1242, 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))).
% 1.32/0.64  cnf(i_0_982, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_983, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1056, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 1.32/0.64  cnf(i_0_803, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_1054, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2))).
% 1.32/0.64  cnf(i_0_961, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))).
% 1.32/0.64  cnf(i_0_706, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))).
% 1.32/0.64  cnf(i_0_717, plain, (c_Suc(X1)=X2|c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1115, plain, (c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))).
% 1.32/0.64  cnf(i_0_1155, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_716, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_722, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 1.32/0.64  cnf(i_0_812, 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))).
% 1.32/0.64  cnf(i_0_1106, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1209, 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))).
% 1.32/0.64  cnf(i_0_1264, 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))).
% 1.32/0.64  cnf(i_0_815, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 1.32/0.64  cnf(i_0_1046, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 1.32/0.64  cnf(i_0_813, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 1.32/0.64  cnf(i_0_709, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 1.32/0.64  cnf(i_0_1002, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1))).
% 1.32/0.64  cnf(i_0_757, 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))).
% 1.32/0.64  cnf(i_0_1051, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 1.32/0.64  cnf(i_0_1275, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X1,X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1271, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1272, plain, (c_GCD_Ogcd__class_Ogcd(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(X2,X1,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_1267, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_739, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 1.32/0.64  cnf(i_0_1292, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.32/0.64  cnf(i_0_772, 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))).
% 1.32/0.64  cnf(i_0_705, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_773, 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))).
% 1.32/0.64  cnf(i_0_1268, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_1082, 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))).
% 1.32/0.64  cnf(i_0_1084, 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))).
% 1.32/0.64  cnf(i_0_1130, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X2=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1177, 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))).
% 1.32/0.64  cnf(i_0_943, 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))).
% 1.32/0.64  cnf(i_0_1004, 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))).
% 1.32/0.64  cnf(i_0_1196, 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))).
% 1.32/0.64  cnf(i_0_1300, 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))).
% 1.32/0.64  cnf(i_0_814, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 1.32/0.64  cnf(i_0_1199, 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))).
% 1.32/0.64  cnf(i_0_887, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 1.32/0.64  cnf(i_0_885, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 1.32/0.64  cnf(i_0_809, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_1256, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,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))).
% 1.32/0.64  cnf(i_0_698, 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))).
% 1.32/0.64  cnf(i_0_1279, 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_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 1.32/0.64  cnf(i_0_981, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)=c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X2),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 1.32/0.64  cnf(i_0_727, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_871, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 1.32/0.64  cnf(i_0_870, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_728, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_1020, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 1.32/0.64  cnf(i_0_846, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_GCD_Ogcd__class_Ogcd(X2,X3,tc_nat),tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1016, 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))).
% 1.32/0.64  cnf(i_0_867, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 1.32/0.64  cnf(i_0_868, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_808, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 1.32/0.64  cnf(i_0_1294, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_820, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1325, 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))).
% 1.32/0.64  cnf(i_0_1258, 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))).
% 1.32/0.64  cnf(i_0_794, 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))).
% 1.32/0.64  cnf(i_0_1058, 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_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 1.32/0.64  cnf(i_0_1293, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_994, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 1.32/0.64  cnf(i_0_1023, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 1.32/0.64  cnf(i_0_992, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 1.32/0.64  cnf(i_0_946, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 1.32/0.64  cnf(i_0_1259, 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))).
% 1.32/0.64  cnf(i_0_1101, 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))).
% 1.32/0.64  cnf(i_0_781, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.32/0.64  cnf(i_0_947, 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))).
% 1.32/0.64  cnf(i_0_1021, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 1.32/0.64  cnf(i_0_1030, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(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))).
% 1.32/0.64  cnf(i_0_1282, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_1028, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(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))).
% 1.32/0.64  cnf(i_0_735, plain, (c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat)=c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))|c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))=X2)).
% 1.32/0.64  cnf(i_0_1077, 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))).
% 1.32/0.64  cnf(i_0_1192, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 1.32/0.64  cnf(i_0_1117, 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)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2))).
% 1.32/0.64  cnf(i_0_1193, 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))).
% 1.32/0.64  cnf(i_0_817, 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))).
% 1.32/0.64  cnf(i_0_1284, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1))).
% 1.32/0.64  cnf(i_0_1038, 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))).
% 1.32/0.64  cnf(i_0_1305, 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))).
% 1.32/0.64  cnf(i_0_816, 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))).
% 1.32/0.64  cnf(i_0_1195, 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))).
% 1.32/0.64  cnf(i_0_1097, plain, (c_HOL_Ominus__class_Ominus(X1,c_Suc(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),c_Suc(X2),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 1.32/0.64  cnf(i_0_1008, 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))).
% 1.32/0.64  cnf(i_0_1170, 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))).
% 1.32/0.64  cnf(i_0_720, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_1157, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_1248, 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))).
% 1.32/0.64  cnf(i_0_1098, plain, (c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3,tc_nat)=c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_898, 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)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_1120, 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))).
% 1.32/0.64  cnf(i_0_1238, 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))).
% 1.32/0.64  cnf(i_0_874, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 1.32/0.64  cnf(i_0_819, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_987, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))).
% 1.32/0.64  cnf(i_0_1119, 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))).
% 1.32/0.64  cnf(i_0_1288, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(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))).
% 1.32/0.64  cnf(i_0_1017, 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))).
% 1.32/0.64  cnf(i_0_733, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1052, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 1.32/0.64  cnf(i_0_1003, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_779, 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)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_1167, 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))).
% 1.32/0.64  cnf(i_0_1121, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_715, 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)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_1203, 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)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2))).
% 1.32/0.64  cnf(i_0_1135, plain, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 1.32/0.64  cnf(i_0_922, 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))).
% 1.32/0.64  cnf(i_0_903, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3))).
% 1.32/0.64  cnf(i_0_1164, 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))).
% 1.32/0.64  cnf(i_0_1131, 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))).
% 1.32/0.64  cnf(i_0_925, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_1283, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_1281, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1159, 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))).
% 1.32/0.64  cnf(i_0_936, 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))).
% 1.32/0.64  cnf(i_0_1254, 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)|~c_lessequals(X2,X4,tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 1.32/0.64  cnf(i_0_756, 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))).
% 1.32/0.64  cnf(i_0_988, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=X4|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3)!=c_HOL_Oplus__class_Oplus(X5,X4,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 1.32/0.64  cnf(i_0_944, 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))).
% 1.32/0.64  cnf(i_0_1005, 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))).
% 1.32/0.64  cnf(i_0_1314, 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_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 1.32/0.64  cnf(i_0_899, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1))).
% 1.32/0.64  cnf(i_0_1123, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_lessequals(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_1178, 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))).
% 1.32/0.64  cnf(i_0_1250, plain, (c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2)=c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)|~class_RealVector_Oreal__normed__field(X2)|~class_SEQ_Obanach(X2))).
% 1.32/0.64  cnf(i_0_1312, 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))).
% 1.32/0.64  cnf(i_0_771, 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))).
% 1.32/0.64  cnf(i_0_774, 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))).
% 1.32/0.64  cnf(i_0_962, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 1.32/0.64  cnf(i_0_1040, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__ring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))).
% 1.32/0.64  cnf(i_0_1055, 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)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 1.32/0.64  cnf(i_0_710, 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))).
% 1.32/0.64  cnf(i_0_1302, 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))).
% 1.32/0.64  cnf(i_0_718, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2))).
% 1.32/0.64  cnf(i_0_689, 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))).
% 1.32/0.64  cnf(i_0_818, 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))).
% 1.32/0.64  cnf(i_0_900, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X4),X3),c_Power_Opower__class_Opower(X2,c_Suc(X4),X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 1.32/0.64  cnf(i_0_770, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 1.32/0.64  cnf(i_0_769, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 1.32/0.64  cnf(i_0_945, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_1287, 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(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3))).
% 1.32/0.64  cnf(i_0_905, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_906, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 1.32/0.64  cnf(i_0_1027, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_688, 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))).
% 1.32/0.64  cnf(i_0_1176, 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))).
% 1.32/0.64  cnf(i_0_1161, 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)|~class_Ring__and__Field_Oordered__field(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))).
% 1.32/0.64  cnf(i_0_995, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 1.32/0.64  cnf(i_0_1024, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_909, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 1.32/0.64  cnf(i_0_908, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 1.32/0.64  cnf(i_0_1029, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1122, 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))).
% 1.32/0.64  cnf(i_0_993, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 1.32/0.64  cnf(i_0_693, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__add(X3))).
% 1.32/0.64  cnf(i_0_1022, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 1.32/0.64  cnf(i_0_703, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 1.32/0.64  cnf(i_0_1009, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~c_lessequals(X1,X3,X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 1.32/0.64  cnf(i_0_745, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 1.32/0.64  cnf(i_0_1063, 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))).
% 1.32/0.64  cnf(i_0_1227, 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)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_1236, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1))).
% 1.32/0.64  cnf(i_0_1235, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1))).
% 1.32/0.64  cnf(i_0_1234, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1))).
% 1.32/0.64  cnf(i_0_1285, plain, (c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Oring__1(X2)|~c_lessequals(X3,X1,tc_nat))).
% 1.32/0.64  cnf(i_0_884, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~c_lessequals(X1,X4,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 1.32/0.64  cnf(i_0_746, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 1.32/0.64  cnf(i_0_729, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2),X2))).
% 1.32/0.64  cnf(i_0_957, plain, (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)|~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))).
% 1.32/0.64  cnf(i_0_958, plain, (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)|~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))).
% 1.32/0.64  cnf(i_0_888, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_1237, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1))).
% 1.32/0.64  cnf(i_0_1226, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1229, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1228, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_886, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~c_lessequals(X2,X4,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 1.32/0.64  cnf(i_0_1189, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(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))).
% 1.32/0.64  cnf(i_0_1188, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(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))).
% 1.32/0.64  cnf(i_0_827, 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)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 1.32/0.64  cnf(i_0_824, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1))).
% 1.32/0.64  cnf(i_0_889, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X4,X3))).
% 1.32/0.64  cnf(i_0_1124, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1125, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_1233, 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)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 1.32/0.64  cnf(i_0_1232, 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)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 1.32/0.64  cnf(i_0_726, 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))).
% 1.32/0.64  cnf(i_0_1313, 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_RealVector_Oreal__normed__field(X3))).
% 1.32/0.64  cnf(i_0_825, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1))).
% 1.32/0.64  cnf(i_0_926, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1))).
% 1.32/0.64  cnf(i_0_823, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1))).
% 1.32/0.64  cnf(i_0_826, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1311, 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_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 1.32/0.64  cnf(i_0_1253, 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)|~c_lessequals(X2,X5,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 1.32/0.64  cnf(i_0_996, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.32/0.64  cnf(i_0_1202, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 1.32/0.64  cnf(i_0_991, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),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))).
% 1.32/0.64  cnf(i_0_696, 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))).
% 1.32/0.64  cnf(i_0_1035, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X4),X3,X4)|~class_Divides_Oring__div(X4))).
% 1.32/0.64  cnf(i_0_829, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_828, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 1.32/0.64  cnf(i_0_1200, 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))).
% 1.32/0.64  cnf(i_0_1201, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_1036, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 1.32/0.64  cnf(i_0_921, 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))).
% 1.32/0.64  cnf(i_0_1230, 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)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3))).
% 1.32/0.64  cnf(i_0_1231, 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)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3))).
% 1.32/0.64  cnf(i_0_690, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 1.68/0.64  cnf(i_0_1197, 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))).
% 1.68/0.64  cnf(i_0_1198, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 1.68/0.64  cnf(i_0_1154, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.68/0.64  cnf(i_0_973, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 1.68/0.64  cnf(i_0_974, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 1.68/0.64  cnf(i_0_1064, 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_RealVector_Oreal__normed__field(X3))).
% 1.68/0.64  cnf(i_0_1286, 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))).
% 1.68/0.64  cnf(i_0_1252, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)|~c_lessequals(X2,X5,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X5,X3),X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 1.68/0.64  cnf(i_0_965, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))).
% 1.68/0.64  cnf(i_0_695, 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))).
% 1.68/0.64  cnf(i_0_1251, 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))).
% 1.68/0.64  cnf(i_0_713, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 1.68/0.64  cnf(i_0_778, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 1.68/0.64  cnf(i_0_777, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 1.68/0.64  cnf(i_0_902, plain, (X1=X2|c_Power_Opower__class_Opower(X1,c_Suc(X3),X4)!=c_Power_Opower__class_Opower(X2,c_Suc(X3),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))).
% 1.68/0.64  cnf(i_0_701, 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))).
% 1.68/0.64  cnf(i_0_964, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.68/0.64  cnf(i_0_875, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 1.68/0.64  cnf(i_0_702, 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))).
% 1.68/0.64  cnf(i_0_869, 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))).
% 1.68/0.64  cnf(i_0_830, 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_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 1.68/0.64  cnf(i_0_1160, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.68/0.64  cnf(i_0_1290, 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))).
% 1.68/0.64  cnf(i_0_714, 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_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.68/0.64  cnf(i_0_861, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))).
% 1.68/0.64  cnf(i_0_860, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.68/0.64  cnf(i_0_951, 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)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 1.68/0.64  cnf(i_0_950, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1))).
% 1.68/0.64  cnf(i_0_912, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2))).
% 1.68/0.64  cnf(i_0_948, 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)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1))).
% 1.68/0.64  cnf(i_0_914, plain, (c_lessequals(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)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1))).
% 1.68/0.64  cnf(i_0_1050, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X5,X3),X3)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 1.68/0.64  cnf(i_0_1013, 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))).
% 1.68/0.64  cnf(i_0_1031, 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)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 1.68/0.64  cnf(i_0_1032, 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)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 1.68/0.64  cnf(i_0_904, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3))).
% 1.68/0.64  cnf(i_0_911, 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_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4))).
% 1.68/0.64  cnf(i_0_1037, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 1.68/0.64  cnf(i_0_949, 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)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 1.68/0.64  cnf(i_0_913, 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_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 1.68/0.64  cnf(i_0_910, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,X4,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))).
% 1.68/0.64  cnf(i_0_907, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.68/0.64  cnf(i_0_730, 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))).
% 1.68/0.64  cnf(i_0_1255, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_nat),X2)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X4,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2)|~c_lessequals(X4,X3,tc_nat))).
% 1.68/0.64  cnf(i_0_963, 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))).
% 1.68/0.64  cnf(i_0_1034, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(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_Oring__div(X3))).
% 1.68/0.64  cnf(i_0_1127, 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))).
% 1.68/0.64  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 1.68/0.64  # Begin printing tableau
% 1.68/0.64  # Found 6 steps
% 1.68/0.64  cnf(i_0_1329, negated_conjecture, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)!=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)), inference(start_rule)).
% 1.68/0.64  cnf(i_0_1375, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)!=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)), inference(extension_rule, [i_0_1238])).
% 1.68/0.64  cnf(i_0_2161, plain, (~class_Ring__and__Field_Oordered__semidom(tc_nat)), inference(closure_rule, [i_0_1359])).
% 1.68/0.64  cnf(i_0_2162, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat)), inference(closure_rule, [i_0_810])).
% 1.68/0.64  cnf(i_0_2160, plain, (c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),tc_nat)!=c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a),tc_nat)), inference(extension_rule, [i_0_1025])).
% 1.68/0.64  cnf(i_0_2843, plain, (c_Suc(c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),tc_nat))!=c_Suc(c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a),tc_nat))), inference(etableau_closure_rule, [i_0_2843, ...])).
% 1.68/0.64  # End printing tableau
% 1.68/0.64  # SZS output end
% 1.68/0.64  # Branches closed with saturation will be marked with an "s"
% 1.68/0.65  # Child (19296) has found a proof.
% 1.68/0.65  
% 1.68/0.65  # Proof search is over...
% 1.68/0.65  # Freeing feature tree
%------------------------------------------------------------------------------