%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SWV821-1 : 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 : n018.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 18:23:36 EDT 2022 % Result : Unsatisfiable 0.20s 0.55s % Output : CNFRefutation 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV821-1 : TPTP v8.1.0. Released v4.1.0. % 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 15 09:12:44 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.54 # No SInE strategy applied % 0.20/0.54 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI % 0.20/0.54 # and selection function SelectComplexExceptUniqMaxHorn. % 0.20/0.54 # % 0.20/0.54 # Presaturation interreduction done % 0.20/0.54 # Number of axioms: 1300 Number of unprocessed: 1101 % 0.20/0.54 # Tableaux proof search. % 0.20/0.54 # APR header successfully linked. % 0.20/0.54 # Hello from C++ % 0.20/0.55 # The folding up rule is enabled... % 0.20/0.55 # Local unification is enabled... % 0.20/0.55 # Any saturation attempts will use folding labels... % 0.20/0.55 # 1101 beginning clauses after preprocessing and clausification % 0.20/0.55 # Creating start rules for all 3 conjectures. % 0.20/0.55 # There are 3 start rule candidates: % 0.20/0.55 # Found 122 unit axioms. % 0.20/0.55 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.20/0.55 # 3 start rule tableaux created. % 0.20/0.55 # 979 extension rule candidate clauses % 0.20/0.55 # 122 unit axiom clauses % 0.20/0.55 % 0.20/0.55 # Requested 8, 32 cores available to the main process. % 0.20/0.55 # There are not enough tableaux to fork, creating more from the initial 3 % 0.20/0.55 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done. % 0.20/0.55 # There were 0 total branch saturation attempts. % 0.20/0.55 # There were 0 of these attempts blocked. % 0.20/0.55 # There were 0 deferred branch saturation attempts. % 0.20/0.55 # There were 0 free duplicated saturations. % 0.20/0.55 # There were 0 total successful branch saturations. % 0.20/0.55 # There were 0 successful branch saturations in interreduction. % 0.20/0.55 # There were 0 successful branch saturations on the branch. % 0.20/0.55 # There were 0 successful branch saturations after the branch. % 0.20/0.55 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.55 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.55 # Begin clausification derivation % 0.20/0.55 % 0.20/0.55 # End clausification derivation % 0.20/0.55 # Begin listing active clauses obtained from FOF to CNF conversion % 0.20/0.55 cnf(i_0_2598, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))). % 0.20/0.55 cnf(i_0_2572, negated_conjecture, (hBOOL(hAPP(hAPP(v_P,v_x),v_xa)))). % 0.20/0.55 cnf(i_0_2573, negated_conjecture, (c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb))). % 0.20/0.55 cnf(i_0_2614, plain, (class_Power_Opower(tc_nat))). % 0.20/0.55 cnf(i_0_2587, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))). % 0.20/0.55 cnf(i_0_2579, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))). % 0.20/0.55 cnf(i_0_2606, plain, (class_Divides_Osemiring__div(tc_nat))). % 0.20/0.55 cnf(i_0_2610, plain, (class_Orderings_Olinorder(tc_nat))). % 0.20/0.55 cnf(i_0_2588, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))). % 0.20/0.55 cnf(i_0_2590, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))). % 0.20/0.55 cnf(i_0_2602, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))). % 0.20/0.55 cnf(i_0_2576, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))). % 0.20/0.55 cnf(i_0_2593, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))). % 0.20/0.55 cnf(i_0_2608, plain, (class_Ring__and__Field_Odvd(tc_nat))). % 0.20/0.55 cnf(i_0_2613, plain, (class_Orderings_Obot(tc_nat))). % 0.20/0.55 cnf(i_0_2607, plain, (class_Nat_Osemiring__char__0(tc_nat))). % 0.20/0.55 cnf(i_0_2585, plain, (class_Ring__and__Field_Oordered__semiring(tc_nat))). % 0.20/0.55 cnf(i_0_2580, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))). % 0.20/0.55 cnf(i_0_2603, plain, (class_Lattices_Odistrib__lattice(tc_nat))). % 0.20/0.55 cnf(i_0_2581, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))). % 0.20/0.55 cnf(i_0_2595, plain, (class_Lattices_Oupper__semilattice(tc_nat))). % 0.20/0.55 cnf(i_0_2609, plain, (class_Orderings_Opreorder(tc_nat))). % 0.20/0.55 cnf(i_0_2612, plain, (class_Orderings_Oorder(tc_nat))). % 0.20/0.55 cnf(i_0_2591, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))). % 0.20/0.55 cnf(i_0_2611, plain, (class_Lattices_Olattice(tc_nat))). % 0.20/0.55 cnf(i_0_2596, plain, (class_Lattices_Olower__semilattice(tc_nat))). % 0.20/0.55 cnf(i_0_2597, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))). % 0.20/0.55 cnf(i_0_2575, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))). % 0.20/0.55 cnf(i_0_2604, plain, (class_Ring__and__Field_Osemiring(tc_nat))). % 0.20/0.55 cnf(i_0_2578, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat))). % 0.20/0.55 cnf(i_0_2582, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))). % 0.20/0.55 cnf(i_0_2583, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))). % 0.20/0.55 cnf(i_0_2577, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))). % 0.20/0.55 cnf(i_0_2584, plain, (class_Ring__and__Field_Opordered__semiring(tc_nat))). % 0.20/0.55 cnf(i_0_2601, plain, (class_Ring__and__Field_Omult__mono(tc_nat))). % 0.20/0.55 cnf(i_0_2599, plain, (class_Ring__and__Field_Omult__mono1(tc_nat))). % 0.20/0.55 cnf(i_0_2594, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))). % 0.20/0.55 cnf(i_0_2586, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))). % 0.20/0.55 cnf(i_0_2600, plain, (class_Ring__and__Field_Omult__zero(tc_nat))). % 0.20/0.55 cnf(i_0_2589, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))). % 0.20/0.55 cnf(i_0_2592, plain, (class_Ring__and__Field_Ocomm__semiring(tc_nat))). % 0.20/0.55 cnf(i_0_2605, plain, (class_OrderedGroup_Omonoid__add(tc_nat))). % 0.20/0.55 cnf(i_0_2534, plain, (c_Orderings_Obot__class_Obot(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_1870, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2529, plain, (c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2569, plain, (c_Com_Ocom_Ocom__size(c_Com_Ocom_OBODY(X1))=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_1656, plain, (c_Nat_Osize__class_Osize(X1,tc_nat)=X1)). % 0.20/0.55 cnf(i_0_2174, plain, (c_Nat_Osize__class_Osize(c_Com_Ocom_OSKIP,tc_Com_Ocom)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2537, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))). % 0.20/0.55 cnf(i_0_2512, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2538, plain, (c_Nat_Osize__class_Osize(X1,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2528, plain, (c_Nitpick_Onat__gcd(X1,c_HOL_Ozero__class_Ozero(tc_nat))=X1)). % 0.20/0.55 cnf(i_0_2249, plain, (c_lessequals(X1,X1,tc_nat))). % 0.20/0.55 cnf(i_0_2517, plain, (c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2513, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2536, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2518, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2568, plain, (c_Nat_Osize__class_Osize(c_Com_Ocom_OBODY(X1),tc_Com_Ocom)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2523, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2543, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)). % 0.20/0.55 cnf(i_0_2522, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)). % 0.20/0.55 cnf(i_0_2544, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)). % 0.20/0.55 cnf(i_0_2541, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)). % 0.20/0.55 cnf(i_0_1829, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))). % 0.20/0.55 cnf(i_0_2535, plain, (c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=X1)). % 0.20/0.55 cnf(i_0_1979, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))). % 0.20/0.55 cnf(i_0_1751, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat))). % 0.20/0.55 cnf(i_0_2550, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))). % 0.20/0.55 cnf(i_0_1773, plain, (c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))). % 0.20/0.55 cnf(i_0_1818, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1817, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2119, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1874, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))). % 0.20/0.55 cnf(i_0_1709, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2301, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat)=X1)). % 0.20/0.55 cnf(i_0_2302, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat)=X2)). % 0.20/0.55 cnf(i_0_1517, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat))). % 0.20/0.55 cnf(i_0_1724, plain, (c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat))). % 0.20/0.55 cnf(i_0_2116, plain, (c_nat_Onat__size(c_Suc(X1))=c_Suc(c_nat_Onat__size(X1)))). % 0.20/0.55 cnf(i_0_1320, plain, (c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))=c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat))). % 0.20/0.55 cnf(i_0_1372, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1308, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1790, plain, (c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_Suc(X1))). % 0.20/0.55 cnf(i_0_1659, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_2129, plain, (c_Orderings_Oord__class_Omin(c_Suc(X1),c_Suc(X2),tc_nat)=c_Suc(c_Orderings_Oord__class_Omin(X1,X2,tc_nat)))). % 0.20/0.55 cnf(i_0_1484, plain, (c_Orderings_Oord__class_Omax(c_Suc(X1),c_Suc(X2),tc_nat)=c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)))). % 0.20/0.55 cnf(i_0_2166, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1543, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2454, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1710, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1746, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2128, plain, (c_HOL_Oplus__class_Oplus(c_Com_Ocom_Ocom__size(X1),c_Suc(c_Com_Ocom_Ocom__size(X2)),tc_nat)=c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(X1,X2)))). % 0.20/0.55 cnf(i_0_1747, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2107, plain, (c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4)=c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,X4))). % 0.20/0.55 cnf(i_0_2012, plain, (c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4)=c_List_Odrop(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4))). % 0.20/0.55 cnf(i_0_1553, plain, (c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_Com_Ocom),c_Suc(c_Nat_Osize__class_Osize(X2,tc_Com_Ocom)),tc_nat)=c_Nat_Osize__class_Osize(c_Com_Ocom_OSemi(X1,X2),tc_Com_Ocom))). % 0.20/0.55 cnf(i_0_1964, 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))). % 0.20/0.55 cnf(i_0_2459, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1885, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2458, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_1886, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2258, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_1771, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat))). % 0.20/0.55 cnf(i_0_1425, plain, (c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1514, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_2539, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2))). % 0.20/0.55 cnf(i_0_1820, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=c_Orderings_Oord__class_Omax(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1627, plain, (c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1628, plain, (c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1542, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2574, negated_conjecture, (~hBOOL(hAPP(hAPP(v_Q,v_x),v_xb)))). % 0.20/0.55 cnf(i_0_2506, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2212, plain, (c_Suc(X1)!=X1)). % 0.20/0.55 cnf(i_0_2562, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSKIP)). % 0.20/0.55 cnf(i_0_2508, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2464, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)). % 0.20/0.55 cnf(i_0_1803, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))). % 0.20/0.55 cnf(i_0_2061, plain, (~c_lessequals(c_Suc(X1),X1,tc_nat))). % 0.20/0.55 cnf(i_0_2560, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSemi(X2,X3))). % 0.20/0.55 cnf(i_0_2532, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2186, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2185, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat))). % 0.20/0.55 cnf(i_0_2363, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))). % 0.20/0.55 cnf(i_0_1806, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 0.20/0.55 cnf(i_0_1807, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 0.20/0.55 cnf(i_0_1805, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 0.20/0.55 cnf(i_0_1632, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_1824, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_1974, plain, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2086, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2511, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2253, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))). % 0.20/0.55 cnf(i_0_2252, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))). % 0.20/0.55 cnf(i_0_1865, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 0.20/0.55 cnf(i_0_2467, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 0.20/0.55 cnf(i_0_1587, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))). % 0.20/0.55 cnf(i_0_1682, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 0.20/0.55 cnf(i_0_2470, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 0.20/0.55 cnf(i_0_2571, plain, (X1=X2|c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OBODY(X2))). % 0.20/0.55 cnf(i_0_2515, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2516, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_1684, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 0.20/0.55 cnf(i_0_2466, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 0.20/0.55 cnf(i_0_2326, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))). % 0.20/0.55 cnf(i_0_2567, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))). % 0.20/0.55 cnf(i_0_1913, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2214, plain, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1))). % 0.20/0.55 cnf(i_0_1485, 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))). % 0.20/0.55 cnf(i_0_2507, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))). % 0.20/0.55 cnf(i_0_2351, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))). % 0.20/0.55 cnf(i_0_2555, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))). % 0.20/0.55 cnf(i_0_2132, plain, (~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1917, plain, (~c_lessequals(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_2266, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))). % 0.20/0.55 cnf(i_0_2524, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)!=X2)). % 0.20/0.55 cnf(i_0_2345, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oordered__ab__group__add(X1))). % 0.20/0.55 cnf(i_0_1810, plain, (c_Orderings_Oord__class_Omin(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))). % 0.20/0.55 cnf(i_0_2215, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))). % 0.20/0.55 cnf(i_0_1845, plain, (c_Orderings_Oord__class_Omax(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))). % 0.20/0.55 cnf(i_0_1533, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))). % 0.20/0.55 cnf(i_0_2514, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2479, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))). % 0.20/0.55 cnf(i_0_2284, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))). % 0.20/0.55 cnf(i_0_2362, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 0.20/0.55 cnf(i_0_1382, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))). % 0.20/0.55 cnf(i_0_2022, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 0.20/0.55 cnf(i_0_2485, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))). % 0.20/0.55 cnf(i_0_2341, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 0.20/0.55 cnf(i_0_2476, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))). % 0.20/0.55 cnf(i_0_2346, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))). % 0.20/0.55 cnf(i_0_2353, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))). % 0.20/0.55 cnf(i_0_2352, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))). % 0.20/0.55 cnf(i_0_1861, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))). % 0.20/0.55 cnf(i_0_2369, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_2486, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))). % 0.20/0.55 cnf(i_0_2472, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))). % 0.20/0.55 cnf(i_0_2474, plain, (c_Divides_Odiv__class_Omod(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))). % 0.20/0.55 cnf(i_0_2498, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 0.20/0.55 cnf(i_0_2546, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)=c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)|~class_OrderedGroup_Olordered__ab__group__add(t_a))). % 0.20/0.55 cnf(i_0_2547, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a)=c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)|~class_OrderedGroup_Olordered__ab__group__add(t_a))). % 0.20/0.55 cnf(i_0_1350, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_2500, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Ouminus__class_Ouminus(X1,X2)!=X1|~class_OrderedGroup_Oordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_2495, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))). % 0.20/0.55 cnf(i_0_1821, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_Lattices_Oboolean__algebra(X3))). % 0.20/0.55 cnf(i_0_1822, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))). % 0.20/0.55 cnf(i_0_1442, 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))). % 0.20/0.55 cnf(i_0_1384, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))). % 0.20/0.55 cnf(i_0_2497, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Omonoid__add(X2))). % 0.20/0.55 cnf(i_0_1433, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))). % 0.20/0.55 cnf(i_0_1432, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))). % 0.20/0.55 cnf(i_0_2024, 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))). % 0.20/0.55 cnf(i_0_2025, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 0.20/0.55 cnf(i_0_2370, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_1385, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))). % 0.20/0.55 cnf(i_0_1855, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1854, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))). % 0.20/0.55 cnf(i_0_2361, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Ouminus__class_Ouminus(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_2475, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Divides_Osemiring__div(X2))). % 0.20/0.55 cnf(i_0_2343, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oabs__class_Oabs(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2348, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_2491, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_1862, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))). % 0.20/0.55 cnf(i_0_2492, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 0.20/0.55 cnf(i_0_1591, plain, (c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2315, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_2314, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_Lattices_Oboolean__algebra(X2))). % 0.20/0.55 cnf(i_0_1608, 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))). % 0.20/0.55 cnf(i_0_2493, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))). % 0.20/0.55 cnf(i_0_2496, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))). % 0.20/0.55 cnf(i_0_1360, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 0.20/0.55 cnf(i_0_1359, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))). % 0.20/0.55 cnf(i_0_1931, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_2359, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 0.20/0.55 cnf(i_0_1879, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1880, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1852, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_2356, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2))). % 0.20/0.55 cnf(i_0_1654, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))). % 0.20/0.55 cnf(i_0_1356, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 0.20/0.55 cnf(i_0_1357, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))). % 0.20/0.55 cnf(i_0_2358, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))). % 0.20/0.55 cnf(i_0_2354, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 0.20/0.55 cnf(i_0_2355, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))). % 0.20/0.55 cnf(i_0_2357, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))). % 0.20/0.55 cnf(i_0_1927, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_2489, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))). % 0.20/0.55 cnf(i_0_1358, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))). % 0.20/0.55 cnf(i_0_1655, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))). % 0.20/0.55 cnf(i_0_2483, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_2484, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Oidom(X3)|~class_Int_Onumber__ring(X3))). % 0.20/0.55 cnf(i_0_2477, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). % 0.20/0.55 cnf(i_0_1351, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_2478, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))). % 0.20/0.55 cnf(i_0_2482, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_1996, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 0.20/0.55 cnf(i_0_1836, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1672, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omin(X1,X2,X3)!=X1|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1779, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 0.20/0.55 cnf(i_0_2367, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_2350, 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))). % 0.20/0.55 cnf(i_0_1510, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1498, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|~class_Ring__and__Field_Odivision__ring(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 0.20/0.55 cnf(i_0_1791, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))). % 0.20/0.55 cnf(i_0_1749, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))). % 0.20/0.55 cnf(i_0_1538, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omax(X1,X2,X3)!=X2|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1857, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))). % 0.20/0.55 cnf(i_0_1834, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))). % 0.20/0.55 cnf(i_0_2378, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat))). % 0.20/0.55 cnf(i_0_1393, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2052, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2380, plain, (X1=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)!=c_HOL_Oinverse__class_Oinverse(X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 0.20/0.55 cnf(i_0_1923, 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))). % 0.20/0.55 cnf(i_0_1924, 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))). % 0.20/0.55 cnf(i_0_1713, 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))). % 0.20/0.55 cnf(i_0_1925, 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))). % 0.20/0.55 cnf(i_0_2387, 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))). % 0.20/0.55 cnf(i_0_1511, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))). % 0.20/0.55 cnf(i_0_2376, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1717, 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))). % 0.20/0.55 cnf(i_0_1926, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2556, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))). % 0.20/0.55 cnf(i_0_2368, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oidom(X2)|~class_Int_Onumber__ring(X2))). % 0.20/0.55 cnf(i_0_1718, 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))). % 0.20/0.55 cnf(i_0_2270, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))). % 0.20/0.55 cnf(i_0_1321, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_1421, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))). % 0.20/0.55 cnf(i_0_2172, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2)=X1|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1948, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1846, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1530, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2)=X1|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1569, 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))). % 0.20/0.55 cnf(i_0_2093, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Ogroup__add(X1))). % 0.20/0.55 cnf(i_0_1919, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,tc_nat)!=c_HOL_Oplus__class_Oplus(X3,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1940, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_1422, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))). % 0.20/0.55 cnf(i_0_1889, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_Divides_Odiv__class_Omod(X2,X1,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2566, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Power_Opower(X2))). % 0.20/0.55 cnf(i_0_1673, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=X2|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X1,X3))). % 0.20/0.55 cnf(i_0_1571, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=X1|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1920, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X2,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2494, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Oidom(X2)|~class_Int_Onumber__ring(X2))). % 0.20/0.55 cnf(i_0_2441, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))). % 0.20/0.55 cnf(i_0_2163, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_1750, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))). % 0.20/0.55 cnf(i_0_1748, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1537, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X2|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1539, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X1|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X1,X3))). % 0.20/0.55 cnf(i_0_2109, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))). % 0.20/0.55 cnf(i_0_2285, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 0.20/0.55 cnf(i_0_1458, plain, (c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_2339, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_2342, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=X3|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oinverse__class_Oinverse(X3,X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_1327, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))). % 0.20/0.55 cnf(i_0_1858, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1856, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))). % 0.20/0.55 cnf(i_0_1380, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1379, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1876, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_1789, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1692, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_1875, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_1755, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))). % 0.20/0.55 cnf(i_0_1758, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1754, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))). % 0.20/0.55 cnf(i_0_1759, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1902, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))). % 0.20/0.55 cnf(i_0_2415, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1877, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))). % 0.20/0.55 cnf(i_0_1365, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1364, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1363, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Odvd(X3))). % 0.20/0.55 cnf(i_0_1334, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_2324, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat))). % 0.20/0.55 cnf(i_0_2443, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat))). % 0.20/0.55 cnf(i_0_1832, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1333, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_2027, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_2031, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))). % 0.20/0.55 cnf(i_0_2026, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_2032, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))). % 0.20/0.55 cnf(i_0_2379, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_2053, plain, (c_lessequals(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1392, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1798, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3))). % 0.20/0.55 cnf(i_0_1965, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__ring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3))). % 0.20/0.55 cnf(i_0_1633, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1324, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1401, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_1561, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_1562, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2565, 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_Osemiring__0(X1))). % 0.20/0.55 cnf(i_0_1800, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1967, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__ring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1943, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))). % 0.20/0.55 cnf(i_0_1942, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))). % 0.20/0.55 cnf(i_0_2510, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))). % 0.20/0.55 cnf(i_0_1716, plain, (X1=X2|c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))). % 0.20/0.55 cnf(i_0_2019, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2))). % 0.20/0.55 cnf(i_0_1398, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_2180, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oabs__if(X2))). % 0.20/0.55 cnf(i_0_2133, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1355, plain, (X1=X2|c_List_Oreplicate(X1,X3,X4)!=c_List_Oreplicate(X2,X5,X4))). % 0.20/0.55 cnf(i_0_1639, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2071, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2)!=X1|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_1531, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1)!=X2|~class_OrderedGroup_Olordered__ab__group__add(X1))). % 0.20/0.55 cnf(i_0_1788, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_2473, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=X3|~class_Ring__and__Field_Oidom(X2)|~class_Int_Onumber__ring(X2))). % 0.20/0.55 cnf(i_0_1490, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_1671, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_1322, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))). % 0.20/0.55 cnf(i_0_1918, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_2461, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|c_HOL_Oabs__class_Oabs(X1,X3)!=c_HOL_Oabs__class_Oabs(X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))). % 0.20/0.55 cnf(i_0_1629, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|c_HOL_Oplus__class_Oplus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))). % 0.20/0.55 cnf(i_0_1630, plain, (c_HOL_Ouminus__class_Ouminus(X1,X2)=X3|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_2447, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1715, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=X1|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1607, 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))). % 0.20/0.55 cnf(i_0_1397, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_1787, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))). % 0.20/0.55 cnf(i_0_2120, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_1848, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1893, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_1892, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_1465, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_2117, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)=X1|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_2377, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1554, plain, (c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1555, plain, (c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2000, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=X2|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1529, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_1809, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1466, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_1955, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_1495, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))). % 0.20/0.55 cnf(i_0_2126, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=X2|~c_lessequals(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_2446, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Osgn__class_Osgn(X2,X1)!=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1))). % 0.20/0.55 cnf(i_0_2303, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))). % 0.20/0.55 cnf(i_0_1954, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_1766, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1765, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1551, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2432, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 0.20/0.55 cnf(i_0_1665, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))). % 0.20/0.55 cnf(i_0_1615, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1616, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3))). % 0.20/0.55 cnf(i_0_2520, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2226, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_2227, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1349, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))). % 0.20/0.55 cnf(i_0_2519, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_nat))). % 0.20/0.55 cnf(i_0_2364, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))). % 0.20/0.55 cnf(i_0_2366, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))). % 0.20/0.55 cnf(i_0_2179, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add__abs(X2)|~class_Orderings_Olinorder(X2))). % 0.20/0.55 cnf(i_0_1348, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))). % 0.20/0.55 cnf(i_0_2062, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_2063, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1888, plain, (c_Divides_Odiv__class_Omod(X1,X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_1922, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Ring__and__Field_Oidom(X4)|~class_Int_Onumber__ring(X4))). % 0.20/0.55 cnf(i_0_2097, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_2468, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1719, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1657, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_1781, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Olordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_1681, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1423, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1720, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2267, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2268, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2018, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_1570, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))). % 0.20/0.55 cnf(i_0_2469, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1454, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_2134, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1456, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_Ring__and__Field_Oabs__if(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1424, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))). % 0.20/0.55 cnf(i_0_1515, 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))). % 0.20/0.55 cnf(i_0_1613, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))). % 0.20/0.55 cnf(i_0_2323, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_2427, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Odivision__ring(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 0.20/0.55 cnf(i_0_1513, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1534, 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))). % 0.20/0.55 cnf(i_0_2254, 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))). % 0.20/0.55 cnf(i_0_2255, 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))). % 0.20/0.55 cnf(i_0_1535, 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))). % 0.20/0.55 cnf(i_0_2444, plain, (c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1415, 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))). % 0.20/0.55 cnf(i_0_1400, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1944, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))). % 0.20/0.55 cnf(i_0_1769, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=c_Orderings_Oord__class_Omin(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_2244, 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))). % 0.20/0.55 cnf(i_0_2245, 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))). % 0.20/0.55 cnf(i_0_2248, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2243, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1768, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1399, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1559, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2171, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_1767, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))). % 0.20/0.55 cnf(i_0_1864, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2213, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_1966, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Ring__and__Field_Ocomm__ring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1797, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3))). % 0.20/0.55 cnf(i_0_2094, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=c_Orderings_Oord__class_Omax(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1560, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1786, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2082, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))). % 0.20/0.55 cnf(i_0_2169, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_2083, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1968, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_Ring__and__Field_Ocomm__ring__1(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2))). % 0.20/0.55 cnf(i_0_1799, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2))). % 0.20/0.55 cnf(i_0_1661, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))). % 0.20/0.55 cnf(i_0_1317, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))). % 0.20/0.55 cnf(i_0_1589, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2009, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2))). % 0.20/0.55 cnf(i_0_2440, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_2386, plain, (X1=X2|c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat)!=c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2170, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_2199, plain, (c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2)=X1|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_1972, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_1843, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_2422, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1434, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=X1|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_1383, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2438, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 0.20/0.55 cnf(i_0_1339, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 0.20/0.55 cnf(i_0_1343, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Oordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 0.20/0.55 cnf(i_0_2564, 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_Omult__zero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Power_Opower(X1))). % 0.20/0.55 cnf(i_0_1970, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_Int_Onumber__ring(X3))). % 0.20/0.55 cnf(i_0_2413, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))). % 0.20/0.55 cnf(i_0_2072, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Ogroup__add(X3))). % 0.20/0.55 cnf(i_0_1341, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1))). % 0.20/0.55 cnf(i_0_1345, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1))). % 0.20/0.55 cnf(i_0_1381, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2130, plain, (X1=c_Suc(X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_Suc(X2),tc_nat))). % 0.20/0.55 cnf(i_0_1536, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Osgn__if(X2))). % 0.20/0.55 cnf(i_0_1971, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Oab__group__add(X3))). % 0.20/0.55 cnf(i_0_1976, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))). % 0.20/0.55 cnf(i_0_1472, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))). % 0.20/0.55 cnf(i_0_2401, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 0.20/0.55 cnf(i_0_1685, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2))). % 0.20/0.55 cnf(i_0_1962, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1574, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1))). % 0.20/0.55 cnf(i_0_1833, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1723, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_Lattices_Oboolean__algebra(X3))). % 0.20/0.55 cnf(i_0_2096, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)!=X4|~class_OrderedGroup_Oab__group__add(X3))). % 0.20/0.55 cnf(i_0_2060, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_2276, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Oplus__class_Oplus(X1,X2,X3)|~class_OrderedGroup_Ogroup__add(X3))). % 0.20/0.55 cnf(i_0_2320, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Oab__group__add(X3))). % 0.20/0.55 cnf(i_0_2402, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1477, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2017, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2551, plain, (c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)|~c_Natural_Oevaln(X1,X2,X3,X4))). % 0.20/0.55 cnf(i_0_1623, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2442, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_Int_Onumber__ring(X1))). % 0.20/0.55 cnf(i_0_2439, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1340, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1344, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_OrderedGroup_Oordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1342, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_2205, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2240, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2003, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2004, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1721, 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))). % 0.20/0.55 cnf(i_0_1346, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)|~class_OrderedGroup_Oordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1455, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_OrderedGroup_Olordered__ab__group__add__abs(X2)|~class_Orderings_Olinorder(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1762, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))). % 0.20/0.55 cnf(i_0_1989, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2232, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2033, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_2558, plain, (c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X2,X3,X4))=X2|~c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X3,X2,X4))). % 0.20/0.55 cnf(i_0_1831, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1860, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)=X3|~class_OrderedGroup_Oab__group__add(X2))). % 0.20/0.55 cnf(i_0_1761, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))). % 0.20/0.55 cnf(i_0_2319, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))). % 0.20/0.55 cnf(i_0_2318, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))). % 0.20/0.55 cnf(i_0_1859, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_2403, 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))). % 0.20/0.55 cnf(i_0_2400, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_1686, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_1951, 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))). % 0.20/0.55 cnf(i_0_2056, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_1617, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X3,X4))). % 0.20/0.55 cnf(i_0_1618, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X2,X4))). % 0.20/0.55 cnf(i_0_2014, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,X2,X3)|~class_OrderedGroup_Oab__semigroup__idem__mult(X3))). % 0.20/0.55 cnf(i_0_1573, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1825, 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))). % 0.20/0.55 cnf(i_0_1963, plain, (c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1478, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1489, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)=c_Orderings_Oord__class_Omin(X1,X2,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_2228, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))). % 0.20/0.55 cnf(i_0_2229, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))). % 0.20/0.55 cnf(i_0_2065, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4))). % 0.20/0.55 cnf(i_0_2064, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))). % 0.20/0.55 cnf(i_0_2069, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_2016, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1604, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1605, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_2178, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_2070, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3))). % 0.20/0.55 cnf(i_0_1891, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 0.20/0.55 cnf(i_0_1890, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2295, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=c_Orderings_Oord__class_Omax(X1,X2,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_2329, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))). % 0.20/0.55 cnf(i_0_1486, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))). % 0.20/0.55 cnf(i_0_2389, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))). % 0.20/0.55 cnf(i_0_1830, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))). % 0.20/0.55 cnf(i_0_2105, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3))). % 0.20/0.55 cnf(i_0_1850, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 0.20/0.55 cnf(i_0_1851, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1467, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3))). % 0.20/0.55 cnf(i_0_2106, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_2250, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2288, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1))). % 0.20/0.55 cnf(i_0_2542, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_List_Oreplicate(X1,X2,X4)!=c_List_Oreplicate(X5,X3,X4))). % 0.20/0.55 cnf(i_0_2349, 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_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Power_Opower(X2))). % 0.20/0.55 cnf(i_0_2040, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_1468, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1957, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))). % 0.20/0.55 cnf(i_0_1956, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2041, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3)=c_Divides_Odiv__class_Omod(X2,X1,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2277, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 0.20/0.55 cnf(i_0_1524, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1))). % 0.20/0.55 cnf(i_0_1638, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Osgn__if(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1600, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))). % 0.20/0.55 cnf(i_0_1367, plain, (c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Olordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_1371, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2238, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_2235, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_1985, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_1983, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_2038, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_Ring__and__Field_Oring(X2))). % 0.20/0.55 cnf(i_0_2202, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))). % 0.20/0.55 cnf(i_0_2203, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))). % 0.20/0.55 cnf(i_0_1916, 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))). % 0.20/0.55 cnf(i_0_2034, plain, (c_HOL_Osgn__class_Osgn(X1,X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1998, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Ring__and__Field_Oring(X3))). % 0.20/0.55 cnf(i_0_2335, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))). % 0.20/0.55 cnf(i_0_2331, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))). % 0.20/0.55 cnf(i_0_1999, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_Ring__and__Field_Oring(X3))). % 0.20/0.55 cnf(i_0_2206, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_1624, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1827, 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))). % 0.20/0.55 cnf(i_0_1898, 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))). % 0.20/0.55 cnf(i_0_2309, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_2337, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))). % 0.20/0.55 cnf(i_0_1631, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2))). % 0.20/0.55 cnf(i_0_2333, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))). % 0.20/0.55 cnf(i_0_1939, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))). % 0.20/0.55 cnf(i_0_1949, 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))). % 0.20/0.55 cnf(i_0_1496, 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))). % 0.20/0.55 cnf(i_0_1811, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_2198, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~class_Orderings_Olinorder(X2))). % 0.20/0.55 cnf(i_0_2274, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X3,X2)|~class_Ring__and__Field_Oring(X2))). % 0.20/0.55 cnf(i_0_2051, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2))). % 0.20/0.55 cnf(i_0_2023, plain, (X1=X2|c_Power_Opower__class_Opower(X3,X1,X4)!=c_Power_Opower__class_Opower(X3,X2,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X3,X4))). % 0.20/0.55 cnf(i_0_1411, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X2,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)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2272, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oidom(X2))). % 0.20/0.55 cnf(i_0_2010, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1784, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)|~c_lessequals(X3,X2,tc_nat))). % 0.20/0.55 cnf(i_0_2011, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1653, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_2191, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1802, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))). % 0.20/0.55 cnf(i_0_2104, 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))). % 0.20/0.55 cnf(i_0_1977, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2)|~class_Ring__and__Field_Oidom(X2))). % 0.20/0.55 cnf(i_0_1973, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))). % 0.20/0.55 cnf(i_0_1844, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X1,X2,X3))). % 0.20/0.55 cnf(i_0_2330, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1969, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Oinverse__class_Odivide(X1,X3,X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_1978, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)|~class_Ring__and__Field_Oidom(X1))). % 0.20/0.55 cnf(i_0_1796, 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))). % 0.20/0.55 cnf(i_0_2015, 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))). % 0.20/0.55 cnf(i_0_1760, 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))). % 0.20/0.55 cnf(i_0_2394, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))). % 0.20/0.55 cnf(i_0_1501, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1625, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1487, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1347, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1603, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1745, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Oinverse__class_Odivide(X1,X3,X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_2412, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)=c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)|~class_OrderedGroup_Omonoid__mult(X3))). % 0.20/0.55 cnf(i_0_2392, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))). % 0.20/0.55 cnf(i_0_1660, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))). % 0.20/0.55 cnf(i_0_1606, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_2177, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1426, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oplus__class_Oplus(X1,X3,tc_nat)!=c_HOL_Oplus__class_Oplus(X4,X2,tc_nat)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1777, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1316, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X3,X1,X2))). % 0.20/0.55 cnf(i_0_2005, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_1975, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1473, plain, (c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_lessequals(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1726, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))). % 0.20/0.55 cnf(i_0_1725, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))). % 0.20/0.55 cnf(i_0_2388, plain, (c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))). % 0.20/0.55 cnf(i_0_1527, 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))). % 0.20/0.55 cnf(i_0_1439, 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))). % 0.20/0.55 cnf(i_0_1525, 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))). % 0.20/0.55 cnf(i_0_1440, 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))). % 0.20/0.55 cnf(i_0_1646, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Osemiring__1(X2))). % 0.20/0.55 cnf(i_0_1497, 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))). % 0.20/0.55 cnf(i_0_1899, 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))). % 0.20/0.55 cnf(i_0_2188, 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))). % 0.20/0.55 cnf(i_0_1540, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_2308, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_2426, 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))). % 0.20/0.55 cnf(i_0_1323, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1479, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))). % 0.20/0.55 cnf(i_0_1567, 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))). % 0.20/0.55 cnf(i_0_1714, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)!=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))). % 0.20/0.55 cnf(i_0_2549, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(X1,X2,X5,X4)|~c_lessequals(X5,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2452, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1335, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))). % 0.20/0.55 cnf(i_0_2028, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))). % 0.20/0.55 cnf(i_0_2075, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1981, 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))). % 0.20/0.55 cnf(i_0_1905, 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))). % 0.20/0.55 cnf(i_0_1374, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1453, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|X1=X2|c_HOL_Otimes__class_Otimes(X1,X1,X3)!=c_HOL_Otimes__class_Otimes(X2,X2,X3)|~class_Ring__and__Field_Oidom(X3))). % 0.20/0.55 cnf(i_0_2102, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4))). % 0.20/0.55 cnf(i_0_1460, 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))). % 0.20/0.55 cnf(i_0_1544, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))). % 0.20/0.55 cnf(i_0_1735, plain, (c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))). % 0.20/0.55 cnf(i_0_2242, plain, (c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)|~c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))). % 0.20/0.55 cnf(i_0_1585, 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))). % 0.20/0.55 cnf(i_0_1586, 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))). % 0.20/0.55 cnf(i_0_1785, 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))). % 0.20/0.55 cnf(i_0_1546, 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))). % 0.20/0.55 cnf(i_0_1412, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(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_Divides_Osemiring__div(X4))). % 0.20/0.55 cnf(i_0_1353, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1376, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1884, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1883, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1476, 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))). % 0.20/0.55 cnf(i_0_1794, 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))). % 0.20/0.55 cnf(i_0_1420, 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))). % 0.20/0.55 cnf(i_0_2449, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__mult(X3))). % 0.20/0.55 cnf(i_0_1753, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1461, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_OrderedGroup_Omonoid__mult(X3))). % 0.20/0.55 cnf(i_0_2176, 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))). % 0.20/0.55 cnf(i_0_1416, 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))). % 0.20/0.55 cnf(i_0_2239, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2241, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2257, 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))). % 0.20/0.55 cnf(i_0_1700, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1583, 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))). % 0.20/0.55 cnf(i_0_2039, plain, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_HOL_Oord__class_Oless(X1,X3,X2))). % 0.20/0.55 cnf(i_0_1929, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_lessequals(X1,X3,X2))). % 0.20/0.55 cnf(i_0_1634, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1988, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1990, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2372, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1491, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Ouminus__class_Ouminus(X1,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~class_Orderings_Olinorder(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_1637, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olower__semilattice(X3))). % 0.20/0.55 cnf(i_0_2273, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1741, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Oupper__semilattice(X3))). % 0.20/0.55 cnf(i_0_1744, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1503, plain, (c_Power_Opower__class_Opower(X1,c_Suc(X2),X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Power_Opower(X3))). % 0.20/0.55 cnf(i_0_2373, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1706, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1705, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1474, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1504, plain, (c_Power_Opower__class_Opower(X1,c_Suc(X2),X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1557, 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))). % 0.20/0.55 cnf(i_0_2006, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3)|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3))). % 0.20/0.55 cnf(i_0_1626, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_1462, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_1933, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))). % 0.20/0.55 cnf(i_0_2381, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 0.20/0.55 cnf(i_0_1499, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_1500, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))). % 0.20/0.55 cnf(i_0_1658, 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))). % 0.20/0.55 cnf(i_0_1502, plain, (c_Power_Opower__class_Opower(X1,c_Suc(X2),X3)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)|~class_OrderedGroup_Omonoid__mult(X3))). % 0.20/0.55 cnf(i_0_1647, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_1598, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3))). % 0.20/0.55 cnf(i_0_2173, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(X1,X4,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2068, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))). % 0.20/0.55 cnf(i_0_1871, 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))). % 0.20/0.55 cnf(i_0_1354, 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))). % 0.20/0.55 cnf(i_0_1375, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat))). % 0.20/0.55 cnf(i_0_2201, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2036, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)=c_Power_Opower__class_Opower(X1,c_Suc(X2),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_2141, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_1729, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_1614, 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))). % 0.20/0.55 cnf(i_0_1450, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_2463, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)|~class_OrderedGroup_Ogroup__add(X2))). % 0.20/0.55 cnf(i_0_1610, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))). % 0.20/0.55 cnf(i_0_1609, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))). % 0.20/0.55 cnf(i_0_2462, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)|~class_OrderedGroup_Oab__group__add(X2))). % 0.20/0.55 cnf(i_0_1449, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_2143, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_1452, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))). % 0.20/0.55 cnf(i_0_1451, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_2085, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_2084, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)|~class_Lattices_Oboolean__algebra(X2))). % 0.20/0.55 cnf(i_0_2115, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_2114, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)|~class_Lattices_Oboolean__algebra(X2))). % 0.20/0.55 cnf(i_0_1995, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_2428, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_1733, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_1734, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_1731, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_1780, plain, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))). % 0.20/0.55 cnf(i_0_2312, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 0.20/0.55 cnf(i_0_1391, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_lessequals(X2,X4,tc_nat))). % 0.20/0.55 cnf(i_0_2175, 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))). % 0.20/0.55 cnf(i_0_1417, 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))). % 0.20/0.55 cnf(i_0_1475, 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))). % 0.20/0.55 cnf(i_0_1568, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))). % 0.20/0.55 cnf(i_0_2081, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2),X2)=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_2234, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2233, 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))). % 0.20/0.55 cnf(i_0_2237, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 0.20/0.55 cnf(i_0_2236, 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))). % 0.20/0.55 cnf(i_0_2391, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2),X2)=c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))). % 0.20/0.55 cnf(i_0_1795, 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))). % 0.20/0.55 cnf(i_0_2066, 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))). % 0.20/0.55 cnf(i_0_1869, 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))). % 0.20/0.55 cnf(i_0_2054, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))). % 0.20/0.55 cnf(i_0_1947, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))). % 0.20/0.55 cnf(i_0_1396, plain, (c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(X1,X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))). % 0.20/0.55 cnf(i_0_1982, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1986, 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))). % 0.20/0.55 cnf(i_0_1984, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X2,X4,X3))). % 0.20/0.55 cnf(i_0_1987, 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))). % 0.20/0.55 cnf(i_0_2278, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(X1,X3,X4)|~class_Divides_Osemiring__div(X4))). % 0.20/0.55 cnf(i_0_2055, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat))). % 0.20/0.55 cnf(i_0_2279, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X4))). % 0.20/0.55 cnf(i_0_2135, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1903, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 0.20/0.55 cnf(i_0_1584, plain, (c_HOL_Oplus__class_Oplus(X1,X1,X2)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 0.20/0.55 cnf(i_0_1330, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~class_Ring__and__Field_Oidom(X3))). % 0.20/0.55 cnf(i_0_1329, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)|~class_Ring__and__Field_Oidom(X3))). % 0.20/0.55 cnf(i_0_1941, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2182, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X4,X3))). % 0.20/0.55 cnf(i_0_2118, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)|~class_Divides_Oring__div(X3))). % 0.20/0.55 cnf(i_0_2136, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1904, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_2305, 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))). % 0.20/0.55 cnf(i_0_2125, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1708, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1612, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2113, 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))). % 0.20/0.55 cnf(i_0_2433, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_1736, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))). % 0.20/0.55 cnf(i_0_1419, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 0.20/0.55 cnf(i_0_1793, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_2256, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))). % 0.20/0.55 cnf(i_0_1703, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))). % 0.20/0.55 cnf(i_0_1362, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(X1,X3,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4))). % 0.20/0.55 cnf(i_0_1549, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))). % 0.20/0.55 cnf(i_0_2430, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_1936, 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))). % 0.20/0.55 cnf(i_0_1816, 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))). % 0.20/0.55 cnf(i_0_1928, 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))). % 0.20/0.55 cnf(i_0_1545, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))). % 0.20/0.55 cnf(i_0_1389, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))). % 0.20/0.55 cnf(i_0_1390, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4))). % 0.20/0.55 cnf(i_0_1815, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oabs__class_Oabs(X3,X4),X4),X4)|~class_OrderedGroup_Olordered__ab__group__add__abs(X4)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X4),X2,X4))). % 0.20/0.55 cnf(i_0_2282, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Ring__and__Field_Oidom(X2))). % 0.20/0.55 cnf(i_0_1541, 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))). % 0.20/0.55 cnf(i_0_1900, 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))). % 0.20/0.55 cnf(i_0_1901, 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))). % 0.20/0.55 cnf(i_0_1611, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_2112, 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))). % 0.20/0.55 cnf(i_0_1722, 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))). % 0.20/0.55 cnf(i_0_2453, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))). % 0.20/0.55 cnf(i_0_2283, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)|~class_Ring__and__Field_Oidom(X2))). % 0.20/0.55 cnf(i_0_2247, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X5,X3),X4,X3)|~c_lessequals(X2,X5,tc_nat))). % 0.20/0.55 cnf(i_0_1528, 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))). % 0.20/0.55 cnf(i_0_1438, 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))). % 0.20/0.55 cnf(i_0_1701, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)=c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))). % 0.20/0.55 cnf(i_0_1523, 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))). % 0.20/0.55 cnf(i_0_2435, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_2431, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_2429, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1863, 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))). % 0.20/0.55 cnf(i_0_1635, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))). % 0.20/0.55 cnf(i_0_1526, 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))). % 0.20/0.55 cnf(i_0_1441, 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))). % 0.20/0.55 cnf(i_0_2122, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3))). % 0.20/0.55 cnf(i_0_2124, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3))). % 0.20/0.55 cnf(i_0_1636, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4))). % 0.20/0.55 cnf(i_0_1937, 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))). % 0.20/0.55 cnf(i_0_1881, 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))). % 0.20/0.55 cnf(i_0_1662, 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))). % 0.20/0.55 cnf(i_0_1663, 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))). % 0.20/0.55 cnf(i_0_2304, 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))). % 0.20/0.55 cnf(i_0_2275, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)=c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))). % 0.20/0.55 cnf(i_0_2013, 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))). % 0.20/0.55 cnf(i_0_2216, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))). % 0.20/0.55 cnf(i_0_1448, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))). % 0.20/0.55 cnf(i_0_2217, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_1742, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4))). % 0.20/0.55 cnf(i_0_2246, 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))). % 0.20/0.55 cnf(i_0_2049, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 0.20/0.55 cnf(i_0_2048, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_2407, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X5,X3)!=c_HOL_Oinverse__class_Odivide(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1743, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))). % 0.20/0.55 cnf(i_0_1447, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_2164, 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))). % 0.20/0.55 cnf(i_0_1652, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_2311, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1548, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_2223, 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))). % 0.20/0.55 cnf(i_0_2222, 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))). % 0.20/0.55 cnf(i_0_1906, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 0.20/0.55 cnf(i_0_1907, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_2406, plain, (c_HOL_Oinverse__class_Odivide(X1,X2,X3)=c_HOL_Oinverse__class_Odivide(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Otimes__class_Otimes(X1,X5,X3)!=c_HOL_Otimes__class_Otimes(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_2450, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1908, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 0.20/0.55 cnf(i_0_1909, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_1552, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),X3)|~class_OrderedGroup_Omonoid__mult(X3))). % 0.20/0.55 cnf(i_0_2264, 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))). % 0.20/0.55 cnf(i_0_2265, 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))). % 0.20/0.55 cnf(i_0_1770, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1463, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1847, 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))). % 0.20/0.55 cnf(i_0_2321, 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))). % 0.20/0.55 cnf(i_0_2322, 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))). % 0.20/0.55 cnf(i_0_1507, 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))). % 0.20/0.55 cnf(i_0_2045, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_2297, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 0.20/0.55 cnf(i_0_2298, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 0.20/0.55 cnf(i_0_2299, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 0.20/0.55 cnf(i_0_2192, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X5,X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1828, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))). % 0.20/0.55 cnf(i_0_1369, plain, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))). % 0.20/0.55 cnf(i_0_1689, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))). % 0.20/0.55 cnf(i_0_1687, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X3))). % 0.20/0.55 cnf(i_0_2296, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 0.20/0.55 cnf(i_0_2044, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2047, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2046, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 0.20/0.55 cnf(i_0_2189, 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))). % 0.20/0.55 cnf(i_0_1521, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))). % 0.20/0.55 cnf(i_0_1519, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X3))). % 0.20/0.55 cnf(i_0_2460, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1387, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3)=c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1508, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))). % 0.20/0.55 cnf(i_0_2411, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),c_Orderings_Oord__class_Omax(X1,X4,X3),X3)=c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1849, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1435, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1506, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2165, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))). % 0.20/0.55 cnf(i_0_2204, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2058, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))). % 0.20/0.55 cnf(i_0_1932, plain, (c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))). % 0.20/0.55 cnf(i_0_1690, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))). % 0.20/0.55 cnf(i_0_1688, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X3))). % 0.20/0.55 cnf(i_0_2162, plain, (c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))). % 0.20/0.55 cnf(i_0_1522, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))). % 0.20/0.55 cnf(i_0_1667, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 0.20/0.55 cnf(i_0_1896, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1457, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)|c_Divides_Odiv__class_Omod(X1,X3,X2)!=c_Divides_Odiv__class_Omod(X4,X3,X2)|~class_Divides_Oring__div(X2))). % 0.20/0.55 cnf(i_0_1520, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X3))). % 0.20/0.55 cnf(i_0_2456, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_2457, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring(X3))). % 0.20/0.55 cnf(i_0_1352, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))). % 0.20/0.55 cnf(i_0_1674, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))). % 0.20/0.55 cnf(i_0_2397, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1783, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_2396, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))). % 0.20/0.55 cnf(i_0_2310, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1590, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1386, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X4,X2,X3),X3)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1509, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))). % 0.20/0.55 cnf(i_0_2410, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),c_Orderings_Oord__class_Omax(X4,X2,X3),X3)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_1914, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))). % 0.20/0.55 cnf(i_0_1867, 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))). % 0.20/0.55 cnf(i_0_1782, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_2057, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))). % 0.20/0.55 cnf(i_0_2437, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2436, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2043, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)|~c_lessequals(X2,X5,tc_nat))). % 0.20/0.55 cnf(i_0_1695, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))). % 0.20/0.55 cnf(i_0_1866, 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))). % 0.20/0.55 cnf(i_0_2099, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1953, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)|~class_Divides_Osemiring__div(X4))). % 0.20/0.55 cnf(i_0_2218, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))). % 0.20/0.55 cnf(i_0_1443, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))). % 0.20/0.55 cnf(i_0_1566, 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))). % 0.20/0.55 cnf(i_0_1405, 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))). % 0.20/0.55 cnf(i_0_1406, 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))). % 0.20/0.55 cnf(i_0_2095, 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))). % 0.20/0.55 cnf(i_0_2088, 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))). % 0.20/0.55 cnf(i_0_2098, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1694, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_2220, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_1445, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 0.20/0.55 cnf(i_0_1952, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_1430, 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))). % 0.20/0.55 cnf(i_0_2261, 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))). % 0.20/0.55 cnf(i_0_2262, 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))). % 0.20/0.55 cnf(i_0_2263, 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))). % 0.20/0.55 cnf(i_0_1532, 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))). % 0.20/0.55 cnf(i_0_1565, 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))). % 0.20/0.55 cnf(i_0_2382, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))). % 0.20/0.55 cnf(i_0_1558, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 0.20/0.55 cnf(i_0_2260, 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))). % 0.20/0.55 cnf(i_0_1698, 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))). % 0.20/0.55 cnf(i_0_1697, 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))). % 0.20/0.55 cnf(i_0_1696, 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))). % 0.20/0.55 cnf(i_0_2156, 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))). % 0.20/0.55 cnf(i_0_1318, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_Ring__and__Field_Olordered__ring(X3))). % 0.20/0.55 cnf(i_0_2384, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))). % 0.20/0.55 cnf(i_0_2385, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 0.20/0.55 cnf(i_0_2383, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 0.20/0.55 cnf(i_0_2200, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)!=c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Ring__and__Field_Oidom(X2)|~class_Int_Onumber__ring(X2))). % 0.20/0.55 cnf(i_0_2042, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 0.20/0.55 cnf(i_0_1699, 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))). % 0.20/0.55 cnf(i_0_2087, 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))). % 0.20/0.55 cnf(i_0_2090, 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))). % 0.20/0.55 cnf(i_0_1431, 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))). % 0.20/0.55 cnf(i_0_2290, 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))). % 0.20/0.55 cnf(i_0_2448, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2149, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))). % 0.20/0.55 cnf(i_0_2142, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))). % 0.20/0.55 cnf(i_0_2077, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))). % 0.20/0.55 cnf(i_0_1428, 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))). % 0.20/0.55 cnf(i_0_2089, 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))). % 0.20/0.55 cnf(i_0_1429, 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))). % 0.20/0.55 cnf(i_0_2123, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))). % 0.20/0.55 cnf(i_0_2160, 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))). % 0.20/0.55 cnf(i_0_2076, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))). % 0.20/0.55 cnf(i_0_1946, 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))). % 0.20/0.55 cnf(i_0_2193, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3))). % 0.20/0.55 cnf(i_0_2194, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X2,X3))). % 0.20/0.55 cnf(i_0_2121, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))). % 0.20/0.55 cnf(i_0_2554, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))). % 0.20/0.55 cnf(i_0_2181, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat))). % 0.20/0.55 cnf(i_0_2293, 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))). % 0.20/0.55 cnf(i_0_1436, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X2,X1),c_Power_Opower__class_Opower(X3,X2,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)|~class_Ring__and__Field_Oring__1(X1))). % 0.20/0.55 cnf(i_0_1730, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_2150, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2151, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2146, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 0.20/0.55 cnf(i_0_1823, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_2307, 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))). % 0.20/0.55 cnf(i_0_1704, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_lessequals(X2,X4,tc_nat))). % 0.20/0.55 cnf(i_0_2144, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 0.20/0.55 cnf(i_0_1991, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 0.20/0.55 cnf(i_0_2187, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_2153, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 0.20/0.55 cnf(i_0_1945, 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))). % 0.20/0.55 cnf(i_0_2195, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1518, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_1732, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 0.20/0.55 cnf(i_0_2196, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))). % 0.20/0.55 cnf(i_0_2197, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono1(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))). % 0.20/0.55 cnf(i_0_1711, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1993, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_1459, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_1935, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 0.20/0.55 cnf(i_0_1934, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 0.20/0.55 cnf(i_0_2424, 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))). % 0.20/0.55 cnf(i_0_2425, 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))). % 0.20/0.55 cnf(i_0_1938, 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))). % 0.20/0.55 cnf(i_0_1597, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat)|~c_lessequals(X3,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1992, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))). % 0.20/0.55 cnf(i_0_1488, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))). % 0.20/0.55 cnf(i_0_2190, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3))). % 0.20/0.55 cnf(i_0_1648, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)|~class_Ring__and__Field_Oidom(X5)|~class_Int_Onumber__ring(X5))). % 0.20/0.55 cnf(i_0_2404, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Ocomm__ring(X4)|~class_Ring__and__Field_Odvd(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X5,X6,X4),X4),X3,X4),X4)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X6,X4))). % 0.20/0.55 cnf(i_0_1997, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1650, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1882, 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))). % 0.20/0.55 cnf(i_0_1994, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))). % 0.20/0.55 cnf(i_0_2157, 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))). % 0.20/0.55 cnf(i_0_2390, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)|~class_Orderings_Olinorder(X4))). % 0.20/0.55 cnf(i_0_1388, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X4,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1404, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,tc_nat))). % 0.20/0.55 cnf(i_0_2091, 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))). % 0.20/0.55 cnf(i_0_2092, 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))). % 0.20/0.55 cnf(i_0_1792, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)|~class_Lattices_Olattice(X4))). % 0.20/0.55 cnf(i_0_2079, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Ofield(X4))). % 0.20/0.55 cnf(i_0_2080, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Ofield(X4))). % 0.20/0.55 cnf(i_0_1887, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)=c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_nat),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3)|~c_lessequals(X4,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1312, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2291, 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))). % 0.20/0.55 cnf(i_0_2108, plain, (c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)|~class_Orderings_Olinorder(X3))). % 0.20/0.55 cnf(i_0_2155, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_2154, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_1645, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_2289, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_1873, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)|~class_Lattices_Olattice(X3))). % 0.20/0.55 cnf(i_0_1314, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_2161, 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))). % 0.20/0.55 cnf(i_0_2294, 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))). % 0.20/0.55 cnf(i_0_1493, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))). % 0.20/0.55 cnf(i_0_1872, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)|~class_Ring__and__Field_Osemiring(X3))). % 0.20/0.55 cnf(i_0_2159, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_1644, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_2158, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_2292, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_2078, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_1494, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1311, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat))). % 0.20/0.55 cnf(i_0_1313, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X4,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat))). % 0.20/0.55 cnf(i_0_2127, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3),c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 0.20/0.55 cnf(i_0_1774, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 0.20/0.55 cnf(i_0_2007, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 0.20/0.55 cnf(i_0_2008, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))). % 0.20/0.55 cnf(i_0_1332, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_1310, plain, (X1=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)|~class_Ring__and__Field_Oring(X4))). % 0.20/0.55 cnf(i_0_1464, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat),X3,tc_nat),X4,tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat)|~c_lessequals(X1,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1582, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_1737, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_1482, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Ring__and__Field_Oidom(X3)|~class_Int_Onumber__ring(X3))). % 0.20/0.55 cnf(i_0_1338, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)|~class_Ring__and__Field_Oring(X3))). % 0.20/0.55 cnf(i_0_1325, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2269, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2021, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))). % 0.20/0.55 cnf(i_0_1578, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_1739, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_1579, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_1580, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_2100, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_2020, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1368, 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))). % 0.20/0.55 cnf(i_0_2465, 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))). % 0.20/0.55 cnf(i_0_2167, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_2271, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 0.20/0.55 cnf(i_0_1581, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_2209, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_2210, 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)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_1738, 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)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4))). % 0.20/0.55 cnf(i_0_2101, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)|X1=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1575, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_2168, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1868, 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))). % 0.20/0.55 cnf(i_0_1576, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_2207, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_2208, 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)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))). % 0.20/0.55 cnf(i_0_1577, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_1740, 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)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 0.20/0.55 cnf(i_0_1642, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))). % 0.20/0.55 cnf(i_0_1640, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1492, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Otimes__class_Otimes(X4,X5,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X2),X5,X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X4,X2))). % 0.20/0.55 cnf(i_0_2552, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)|~c_Natural_Oevaln(X3,X4,X7,X5)|~c_Natural_Oevaln(X1,X2,X8,X6))). % 0.20/0.55 cnf(i_0_2405, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X5),X5),X6,X5),X5)|~class_Ring__and__Field_Ocomm__ring(X5)|~class_Ring__and__Field_Odvd(X5)|~c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X6,X5),X5)|~c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X5))). % 0.20/0.55 cnf(i_0_1331, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))). % 0.20/0.55 cnf(i_0_1593, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)|~class_Ring__and__Field_Opordered__ring(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4))). % 0.20/0.55 cnf(i_0_1408, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)|~class_Ring__and__Field_Opordered__ring(X4)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4))). % 0.20/0.55 cnf(i_0_2553, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)|~c_Natural_Oevaln(X3,X4,X7,X6)|~c_Natural_Oevaln(X1,X2,X8,X5))). % 0.20/0.55 cnf(i_0_1643, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(X1,X4,tc_nat))). % 0.20/0.55 cnf(i_0_1641, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))). % 0.20/0.55 cnf(i_0_1595, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3))). % 0.20/0.55 cnf(i_0_1410, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3))). % 0.20/0.55 cnf(i_0_1601, plain, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_1772, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1592, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3))). % 0.20/0.55 cnf(i_0_1407, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3))). % 0.20/0.55 cnf(i_0_1594, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3))). % 0.20/0.55 cnf(i_0_1409, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3))). % 0.20/0.55 cnf(i_0_2280, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X5,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))). % 0.20/0.55 cnf(i_0_1668, plain, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Osemiring__div(X3))). % 0.20/0.55 cnf(i_0_1842, 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))). % 0.20/0.55 cnf(i_0_1366, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))). % 0.20/0.55 cnf(i_0_1556, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X6,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X7,X3),X3),X3),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X6,X3),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X7,X3),X3),X3),X3)|~class_Ring__and__Field_Olordered__ring(X3)|~c_lessequals(X7,X2,X3)|~c_lessequals(X6,X1,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))). % 0.20/0.55 cnf(i_0_1418, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X3,X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X4,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X3,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X5,X2),X2),X2),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X4,X2),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(X5,X2),X2),X2),c_HOL_Otimes__class_Otimes(X6,X7,X2),X2)|~class_Ring__and__Field_Olordered__ring(X2)|~c_lessequals(X7,X3,X2)|~c_lessequals(X6,X4,X2)|~c_lessequals(X5,X7,X2)|~c_lessequals(X1,X6,X2))). % 0.20/0.55 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.20/0.55 # Begin printing tableau % 0.20/0.55 # Found 3 steps % 0.20/0.55 cnf(i_0_2573, negated_conjecture, (c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb)), inference(start_rule)). % 0.20/0.55 cnf(i_0_2616, plain, (c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb)), inference(extension_rule, [i_0_2558])). % 0.20/0.55 cnf(i_0_6621, plain, (c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_HOL_Ozero__class_Ozero(tc_nat),v_xa,v_xb))=c_HOL_Ozero__class_Ozero(tc_nat)), inference(closure_rule, [i_0_2508])). % 0.20/0.55 # End printing tableau % 0.20/0.55 # SZS output end % 0.20/0.55 # Branches closed with saturation will be marked with an "s" % 0.20/0.55 # Returning from population with 4 new_tableaux and 0 remaining starting tableaux. % 0.20/0.55 # We now have 4 tableaux to operate on % 0.20/0.55 # Found closed tableau during pool population. % 0.20/0.55 # Proof search is over... % 0.20/0.55 # Freeing feature tree %------------------------------------------------------------------------------