TSTP Solution File: LCL795-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL795-1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 10:25:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL795-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 16:23:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43 # No SInE strategy applied
% 0.19/0.43 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 0.19/0.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.43 #
% 0.19/0.43 # Number of axioms: 919 Number of unprocessed: 919
% 0.19/0.43 # Tableaux proof search.
% 0.19/0.43 # APR header successfully linked.
% 0.19/0.43 # Hello from C++
% 0.19/0.44 # The folding up rule is enabled...
% 0.19/0.44 # Local unification is enabled...
% 0.19/0.44 # Any saturation attempts will use folding labels...
% 0.19/0.44 # 919 beginning clauses after preprocessing and clausification
% 0.19/0.44 # Creating start rules for all 1 conjectures.
% 0.19/0.44 # There are 1 start rule candidates:
% 0.19/0.44 # Found 206 unit axioms.
% 0.19/0.44 # 1 start rule tableaux created.
% 0.19/0.44 # 713 extension rule candidate clauses
% 0.19/0.44 # 206 unit axiom clauses
% 0.19/0.44
% 0.19/0.44 # Requested 8, 32 cores available to the main process.
% 0.19/0.44 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.44 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.19/0.44 # There were 0 total branch saturation attempts.
% 0.19/0.44 # There were 0 of these attempts blocked.
% 0.19/0.44 # There were 0 deferred branch saturation attempts.
% 0.19/0.44 # There were 0 free duplicated saturations.
% 0.19/0.44 # There were 0 total successful branch saturations.
% 0.19/0.44 # There were 0 successful branch saturations in interreduction.
% 0.19/0.44 # There were 0 successful branch saturations on the branch.
% 0.19/0.44 # There were 0 successful branch saturations after the branch.
% 0.19/0.44 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 # Begin clausification derivation
% 0.19/0.44
% 0.19/0.44 # End clausification derivation
% 0.19/0.44 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.44 cnf(i_0_1082, plain, (v_n____=v_i____)).
% 0.19/0.44 cnf(i_0_1826, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.19/0.44 cnf(i_0_1838, plain, (class_Power_Opower(tc_nat))).
% 0.19/0.44 cnf(i_0_1808, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))).
% 0.19/0.44 cnf(i_0_1835, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.19/0.44 cnf(i_0_1816, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.19/0.44 cnf(i_0_1805, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.19/0.44 cnf(i_0_1822, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1817, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.44 cnf(i_0_1830, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.19/0.44 cnf(i_0_1809, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1832, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1810, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1834, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.19/0.44 cnf(i_0_1836, plain, (class_Orderings_Oorder(tc_nat))).
% 0.19/0.44 cnf(i_0_1837, plain, (class_Orderings_Obot(tc_nat))).
% 0.19/0.44 cnf(i_0_1824, plain, (class_OrderedGroup_Osemigroup__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1833, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.19/0.44 cnf(i_0_1814, plain, (class_Ring__and__Field_Oordered__semiring(tc_nat))).
% 0.19/0.44 cnf(i_0_1782, plain, (c_InductTermi_OIT(v_u____))).
% 0.19/0.44 cnf(i_0_1820, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1831, plain, (class_Ring__and__Field_Osemiring(tc_nat))).
% 0.19/0.44 cnf(i_0_1825, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.19/0.44 cnf(i_0_1804, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1807, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat))).
% 0.19/0.44 cnf(i_0_1811, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1812, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 0.19/0.44 cnf(i_0_1829, plain, (class_Ring__and__Field_Omult__mono(tc_nat))).
% 0.19/0.44 cnf(i_0_1827, plain, (class_Ring__and__Field_Omult__mono1(tc_nat))).
% 0.19/0.44 cnf(i_0_1806, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))).
% 0.19/0.44 cnf(i_0_1813, plain, (class_Ring__and__Field_Opordered__semiring(tc_nat))).
% 0.19/0.44 cnf(i_0_1823, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.19/0.44 cnf(i_0_1815, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.19/0.44 cnf(i_0_1828, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.19/0.44 cnf(i_0_1819, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))).
% 0.19/0.44 cnf(i_0_1818, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.19/0.44 cnf(i_0_1821, plain, (class_Ring__and__Field_Ocomm__semiring(tc_nat))).
% 0.19/0.44 cnf(i_0_1735, plain, (c_Orderings_Obot__class_Obot(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1481, plain, (c_Suc(X1)!=X1)).
% 0.19/0.44 cnf(i_0_1480, plain, (c_Suc(X1)!=X1)).
% 0.19/0.44 cnf(i_0_1729, plain, (c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1063, plain, (c_InductTermi_OIT(c_Lambda_OdB_OVar(X1)))).
% 0.19/0.44 cnf(i_0_1702, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1703, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1724, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1725, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1077, plain, (c_Lambda_OdB_OAbs(X2)!=c_Lambda_OdB_OVar(X1))).
% 0.19/0.44 cnf(i_0_1620, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.19/0.44 cnf(i_0_1741, plain, (c_Nat_Osize__class_Osize(X1,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1074, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.19/0.44 cnf(i_0_1075, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.19/0.44 cnf(i_0_1615, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.19/0.44 cnf(i_0_1024, plain, (X1=X2|c_Type_Otype_OAtom(X1)!=c_Type_Otype_OAtom(X2))).
% 0.19/0.44 cnf(i_0_1221, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.19/0.44 cnf(i_0_1379, plain, (c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))|~c_InductTermi_OIT(X1))).
% 0.19/0.44 cnf(i_0_1728, plain, (c_Nitpick_Onat__gcd(X1,c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 0.19/0.44 cnf(i_0_1787, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.44 cnf(i_0_1180, plain, (c_List_Olistsum(c_List_Olist_ONil(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_1400, plain, (~c_Lambda_Obeta(c_Lambda_OdB_OVar(X1),X2))).
% 0.19/0.44 cnf(i_0_1801, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.19/0.44 cnf(i_0_1802, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.19/0.44 cnf(i_0_1803, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.19/0.44 cnf(i_0_1771, plain, (c_InductTermi_OIT(c_Lambda_Olift(X1,X2))|~c_InductTermi_OIT(X1))).
% 0.19/0.44 cnf(i_0_1541, plain, (c_Lambda_Obeta(c_Lambda_OdB_OAbs(X1),c_Lambda_OdB_OAbs(X2))|~c_Lambda_Obeta(X1,X2))).
% 0.19/0.44 cnf(i_0_1792, plain, (c_Type_Otyping(v_e____,v_u____,v_T____))).
% 0.19/0.44 cnf(i_0_1746, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 0.19/0.44 cnf(i_0_1748, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 0.19/0.44 cnf(i_0_1497, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1499, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1747, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)=X1)).
% 0.19/0.44 cnf(i_0_1051, plain, (X2=X3|c_Nat_Osemiring__1__class_Oof__nat(X2,X1)!=c_Nat_Osemiring__1__class_Oof__nat(X3,X1)|~class_Nat_Osemiring__char__0(X1))).
% 0.19/0.44 cnf(i_0_1839, plain, (c_fequal(X1,X1,X2))).
% 0.19/0.44 cnf(i_0_1720, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1740, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1719, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.44 cnf(i_0_1743, plain, (c_Orderings_Oord__class_Omax(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.19/0.44 cnf(i_0_1744, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.19/0.44 cnf(i_0_1731, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1737, plain, (c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=X1)).
% 0.19/0.44 cnf(i_0_1707, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1714, plain, (c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1708, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1738, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1715, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1406, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1407, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1595, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1599, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1013, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)).
% 0.19/0.44 cnf(i_0_1012, plain, (c_List_Oappend(c_List_Olist_ONil(X2),X1,X2)=X1)).
% 0.19/0.44 cnf(i_0_1015, plain, (c_List_Oappend(c_List_Olist_ONil(X2),X1,X2)=X1)).
% 0.19/0.44 cnf(i_0_1011, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)).
% 0.19/0.44 cnf(i_0_1014, plain, (c_List_Oappend(c_List_Olist_ONil(X1),X2,X1)=X2)).
% 0.19/0.44 cnf(i_0_1605, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)).
% 0.19/0.44 cnf(i_0_1254, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1)=c_List_Olist_ONil(X1))).
% 0.19/0.44 cnf(i_0_1389, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Olist_ONil(X2))).
% 0.19/0.44 cnf(i_0_1601, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Opreorder(X1))).
% 0.19/0.44 cnf(i_0_1600, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Oorder(X1))).
% 0.19/0.44 cnf(i_0_1172, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1173, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1614, plain, (c_HOL_Otimes__class_Otimes(X2,X2,X1)=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 0.19/0.44 cnf(i_0_1263, plain, (c_Orderings_Oord__class_Omin(X2,X2,X1)=X2|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1287, plain, (c_Orderings_Oord__class_Omax(X2,X2,X1)=X2|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1236, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.19/0.44 cnf(i_0_1767, plain, (c_Type_Otype_OAtom(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X3))).
% 0.19/0.44 cnf(i_0_1610, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.19/0.44 cnf(i_0_1555, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_Lambda_OdB_OVar(X3))).
% 0.19/0.44 cnf(i_0_1619, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_Lambda_OdB_OAbs(X3))).
% 0.19/0.44 cnf(i_0_1760, plain, (hAPP(hAPP(c_Type_Otype_OFun,X1),X2)!=c_Type_Otype_OAtom(X3))).
% 0.19/0.44 cnf(i_0_1059, plain, (c_List_Odrop(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))).
% 0.19/0.44 cnf(i_0_1386, plain, (c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1578, plain, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.19/0.44 cnf(i_0_1580, plain, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.19/0.44 cnf(i_0_1581, plain, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1590, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.44 cnf(i_0_1593, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1592, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_1016, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 0.19/0.44 cnf(i_0_1087, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))).
% 0.19/0.44 cnf(i_0_1579, plain, (c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.19/0.44 cnf(i_0_1535, plain, (c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))).
% 0.19/0.44 cnf(i_0_1675, plain, (c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))).
% 0.19/0.44 cnf(i_0_1138, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.44 cnf(i_0_1613, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.44 cnf(i_0_1571, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1568, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.19/0.44 cnf(i_0_1570, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))).
% 0.19/0.44 cnf(i_0_1566, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1572, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1567, 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))).
% 0.19/0.44 cnf(i_0_1569, 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))).
% 0.19/0.44 cnf(i_0_1588, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.44 cnf(i_0_1587, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1594, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1591, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_1577, plain, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1589, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1721, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=X1)).
% 0.19/0.44 cnf(i_0_1722, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=X1)).
% 0.19/0.44 cnf(i_0_1710, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1711, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1390, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_nat_Onat__size(X1)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))=c_nat_Onat__size(c_Suc(X1)))).
% 0.19/0.44 cnf(i_0_1255, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.44 cnf(i_0_950, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.44 cnf(i_0_1773, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)).
% 0.19/0.44 cnf(i_0_1583, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1785, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 0.19/0.44 cnf(i_0_1257, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1258, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1245, 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)))).
% 0.19/0.44 cnf(i_0_930, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1))).
% 0.19/0.44 cnf(i_0_1756, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))).
% 0.19/0.44 cnf(i_0_1500, plain, (c_List_Olist_OCons(X2,X1,X3)!=X1)).
% 0.19/0.44 cnf(i_0_1399, plain, (c_List_Olist_OCons(X1,X2,X3)!=X2)).
% 0.19/0.44 cnf(i_0_1840, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 0.19/0.44 cnf(i_0_1733, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1734, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1774, plain, (c_Lambda_Obeta(c_Lambda_Olift(X1,X2),c_Lambda_Olift(X3,X2))|~c_Lambda_Obeta(X1,X3))).
% 0.19/0.44 cnf(i_0_1093, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.19/0.44 cnf(i_0_1653, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.44 cnf(i_0_1043, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))).
% 0.19/0.44 cnf(i_0_1299, plain, (c_List_Olist_OCons(X2,X3,X1)!=c_List_Olist_ONil(X1))).
% 0.19/0.44 cnf(i_0_1333, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.19/0.44 cnf(i_0_1334, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.19/0.44 cnf(i_0_1705, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1472, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X2,X1,X3)!=X1)).
% 0.19/0.44 cnf(i_0_1470, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X1)).
% 0.19/0.44 cnf(i_0_1469, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X1)).
% 0.19/0.44 cnf(i_0_1471, plain, (X1=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X2)).
% 0.19/0.44 cnf(i_0_1453, plain, (~c_lessequals(c_Suc(X1),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1598, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1260, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.44 cnf(i_0_1261, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.44 cnf(i_0_1259, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.44 cnf(i_0_1538, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.44 cnf(i_0_1539, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.44 cnf(i_0_1709, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1527, plain, (c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2)))|~c_InductTermi_OIT(X1))).
% 0.19/0.44 cnf(i_0_1440, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X2,X3,X1)!=c_List_Olist_ONil(X1))).
% 0.19/0.44 cnf(i_0_1437, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.19/0.44 cnf(i_0_1152, plain, (X2=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))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.19/0.44 cnf(i_0_1153, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.19/0.44 cnf(i_0_1372, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.44 cnf(i_0_1373, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.44 cnf(i_0_1784, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.19/0.44 cnf(i_0_1220, plain, (X3=c_List_Olist_ONil(X1)|c_List_Olist_ONil(X1)!=c_List_Oappend(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1219, plain, (X2=c_List_Olist_ONil(X1)|c_List_Olist_ONil(X1)!=c_List_Oappend(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1229, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.19/0.44 cnf(i_0_1228, plain, (X1=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.19/0.44 cnf(i_0_1135, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Type_Osko__Type__Xtype__induct__1__1(X1))))).
% 0.19/0.44 cnf(i_0_1092, plain, (X2=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.19/0.44 cnf(i_0_1652, plain, (X2=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.44 cnf(i_0_1576, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1585, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.19/0.44 cnf(i_0_1586, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1047, plain, (X2=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)))).
% 0.19/0.44 cnf(i_0_1046, 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)))).
% 0.19/0.44 cnf(i_0_1582, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=X2|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1565, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1))).
% 0.19/0.44 cnf(i_0_985, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1696, plain, (c_lessequals(X2,X1,tc_nat)|c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_960, 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))).
% 0.19/0.44 cnf(i_0_1398, plain, (c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1584, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1274, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1277, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1573, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Otimes__class_Otimes(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1))).
% 0.19/0.44 cnf(i_0_1574, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Otimes__class_Otimes(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1))).
% 0.19/0.44 cnf(i_0_1575, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Otimes__class_Otimes(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))).
% 0.19/0.44 cnf(i_0_1157, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(X1)),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)))).
% 0.19/0.44 cnf(i_0_1755, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))).
% 0.19/0.44 cnf(i_0_1042, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.44 cnf(i_0_1041, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1045, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1596, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1597, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1505, plain, (c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1503, plain, (c_HOL_Oord__class_Oless(X1,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1321, plain, (c_lessequals(X2,X1,tc_nat)|c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1742, 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))).
% 0.19/0.44 cnf(i_0_1134, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2|c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_984, plain, (c_HOL_Otimes__class_Otimes(X2,X3,X1)=c_HOL_Otimes__class_Otimes(X3,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_987, plain, (c_HOL_Otimes__class_Otimes(X2,X3,X1)=c_HOL_Otimes__class_Otimes(X3,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1181, plain, (c_Orderings_Oord__class_Omin(X2,X3,X1)=c_Orderings_Oord__class_Omin(X3,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1384, plain, (c_Orderings_Oord__class_Omax(X2,X3,X1)=c_Orderings_Oord__class_Omax(X3,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1129, plain, (c_HOL_Oord__class_Oless(X3,X2,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1125, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1131, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1127, plain, (c_HOL_Oord__class_Oless(X2,X2,X1)|c_lessequals(X2,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1697, plain, (c_lessequals(X3,X2,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1235, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1288, plain, (X2=X4|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4))).
% 0.19/0.44 cnf(i_0_1797, plain, (X2=X4|hAPP(hAPP(c_Type_Otype_OFun,X1),X2)!=hAPP(hAPP(c_Type_Otype_OFun,X3),X4))).
% 0.19/0.44 cnf(i_0_1289, plain, (X1=X3|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4))).
% 0.19/0.44 cnf(i_0_1796, plain, (X1=X3|hAPP(hAPP(c_Type_Otype_OFun,X1),X2)!=hAPP(hAPP(c_Type_Otype_OFun,X3),X4))).
% 0.19/0.44 cnf(i_0_1272, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1279, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1283, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1284, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1271, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.44 cnf(i_0_964, plain, (X1=X3|c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1761, plain, (hBOOL(hAPP(X1,X4))|hBOOL(hAPP(X1,X3))|c_Type_Osko__Type__Xtype__induct__1__1(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X3))).
% 0.19/0.44 cnf(i_0_1762, plain, (hBOOL(hAPP(X1,X4))|hBOOL(hAPP(X1,X2))|c_Type_Osko__Type__Xtype__induct__1__1(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X3))).
% 0.19/0.44 cnf(i_0_1786, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.19/0.44 cnf(i_0_1564, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.19/0.44 cnf(i_0_1458, plain, (c_InductTermi_OIT(c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))|~c_InductTermi_OIT(X1))).
% 0.19/0.44 cnf(i_0_1732, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__Nat__Xnat__Xinduct__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1727, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__Nat__Xnat__Xinducts__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1736, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__List__Xupt__Xinduct__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1723, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,v_sko__List__Xreplicate__Xinduct__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1706, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1292, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1293, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_940, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1659, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1660, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1661, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_941, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1267, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1266, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1268, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1629, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_980, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_982, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)|~c_lessequals(X1,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1449, plain, (c_lessequals(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1026, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1028, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1383, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1548, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X2,tc_nat)=X1)).
% 0.19/0.44 cnf(i_0_1549, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)=X2)).
% 0.19/0.44 cnf(i_0_1144, plain, (c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_929, plain, (c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)))).
% 0.19/0.44 cnf(i_0_981, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1628, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1027, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1029, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1448, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1322, plain, (X2=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3))).
% 0.19/0.44 cnf(i_0_1324, plain, (X2=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3))).
% 0.19/0.44 cnf(i_0_1323, plain, (X1=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2))).
% 0.19/0.44 cnf(i_0_1295, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1294, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1457, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1319, 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))).
% 0.19/0.44 cnf(i_0_1240, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1239, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1241, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1122, plain, (c_Orderings_Oord__class_Omin(X2,X3,X1)=X3|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.44 cnf(i_0_1120, plain, (c_Orderings_Oord__class_Omin(X2,X3,X1)=X2|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_993, plain, (c_Orderings_Oord__class_Omax(X2,X3,X1)=X3|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_995, plain, (c_Orderings_Oord__class_Omax(X2,X3,X1)=X2|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.44 cnf(i_0_1556, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1558, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1677, plain, (c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1121, plain, (c_lessequals(X2,X3,X1)|c_Orderings_Oord__class_Omin(X2,X3,X1)!=X2|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_994, plain, (c_lessequals(X2,X3,X1)|c_Orderings_Oord__class_Omax(X2,X3,X1)!=X3|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1133, plain, (hBOOL(hAPP(X1,X2))|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1666, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1667, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1657, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1658, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1662, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1663, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1664, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1665, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1502, plain, (X1=c_Suc(X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_928, plain, (c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(X1)),X2))).
% 0.19/0.44 cnf(i_0_1739, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1)))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1557, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1676, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1392, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1184, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_988, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1060, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),X2,tc_nat)|~hBOOL(hAPP(X1,X2)))).
% 0.19/0.44 cnf(i_0_1754, plain, (c_Type_Otyping(X1,X2,X3)|~c_Lambda_Obeta(X4,X2)|~c_Type_Otyping(X1,X4,X3))).
% 0.19/0.44 cnf(i_0_1550, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.19/0.44 cnf(i_0_1701, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2)))|~hBOOL(hAPP(X1,X2)))).
% 0.19/0.44 cnf(i_0_1010, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X2,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1009, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_934, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_933, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1150, plain, (c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)=X2|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1391, plain, (c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X2,X3,X1),X1)=X2|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1273, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1717, plain, (X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1718, plain, (X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1716, plain, (X1=X3|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1501, 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)))).
% 0.19/0.44 cnf(i_0_959, 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)))).
% 0.19/0.44 cnf(i_0_1607, plain, (X2=X5|c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3))).
% 0.19/0.44 cnf(i_0_944, plain, (X2=X4|c_List_Oappend(X1,X2,X3)!=c_List_Oappend(X1,X4,X3))).
% 0.19/0.44 cnf(i_0_945, plain, (X1=X4|c_List_Oappend(X1,X2,X3)!=c_List_Oappend(X4,X2,X3))).
% 0.19/0.44 cnf(i_0_947, plain, (X1=X4|c_List_Oreplicate(X1,X2,X3)!=c_List_Oreplicate(X4,X5,X3))).
% 0.19/0.44 cnf(i_0_1606, plain, (X1=X4|c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3))).
% 0.19/0.44 cnf(i_0_1326, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1))).
% 0.19/0.44 cnf(i_0_1327, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 0.19/0.44 cnf(i_0_1328, plain, (X2=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 0.19/0.44 cnf(i_0_1671, 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))).
% 0.19/0.44 cnf(i_0_1704, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.44 cnf(i_0_1504, plain, (~c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1320, plain, (~c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X2),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1745, plain, (X2=X5|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X1,X2,X3)!=c_List_Oreplicate(X4,X5,X3))).
% 0.19/0.44 cnf(i_0_1618, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1695, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1130, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1128, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.44 cnf(i_0_1126, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)|~c_lessequals(X2,X2,X1))).
% 0.19/0.44 cnf(i_0_1698, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1699, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1132, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1694, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1382, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2))|~c_Lambda_Obeta(X1,X3))).
% 0.19/0.44 cnf(i_0_1381, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3))|~c_Lambda_Obeta(X2,X3))).
% 0.19/0.44 cnf(i_0_1148, plain, (X3=X4|c_HOL_Ominus__class_Ominus(X2,X2,X1)!=c_HOL_Ominus__class_Ominus(X3,X4,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1147, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X4,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1325, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1278, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1280, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1281, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1433, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_986, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(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))).
% 0.19/0.44 cnf(i_0_1636, plain, (X2=X3|c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat)!=c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1275, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X3,tc_nat)|hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 0.19/0.44 cnf(i_0_932, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X1)))))).
% 0.19/0.44 cnf(i_0_973, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X1)))))).
% 0.19/0.44 cnf(i_0_1023, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_Suc(v_sko__List__Xupt__Xinduct__1(X1)))))).
% 0.19/0.44 cnf(i_0_1025, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X1)))))).
% 0.19/0.44 cnf(i_0_1050, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X1)))))).
% 0.19/0.44 cnf(i_0_1404, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_952, plain, (c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1434, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1))).
% 0.19/0.44 cnf(i_0_1772, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3))).
% 0.19/0.44 cnf(i_0_1256, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1648, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1270, plain, (c_List_Olistsum(c_List_Olist_OCons(X2,X3,X1),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Olistsum(X3,X1))|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_1213, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))=c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1214, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat))=c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1000, plain, (hBOOL(hAPP(X1,X3))|hBOOL(hAPP(X1,X2))|~c_HOL_Oord__class_Oless(X3,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1111, plain, (c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olist_OCons(X1,X2,X3))).
% 0.19/0.44 cnf(i_0_1498, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1525, plain, (c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olist_OCons(X1,X2,X3))).
% 0.19/0.44 cnf(i_0_1112, plain, (c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3)=c_List_Oreplicate(c_Suc(X1),X2,X3))).
% 0.19/0.44 cnf(i_0_1475, plain, (c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1)=c_List_Olist_OCons(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1158, plain, (c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Odrop(X1,X3,X4))).
% 0.19/0.44 cnf(i_0_1637, 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))).
% 0.19/0.44 cnf(i_0_1432, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(X2,X3,X1)|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 0.19/0.44 cnf(i_0_963, plain, (c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X2,X3,X1),X1)=c_Orderings_Oord__class_Omin(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1542, plain, (c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)=c_Orderings_Oord__class_Omax(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1264, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.19/0.44 cnf(i_0_1462, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1461, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1031, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1034, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1030, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1033, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1114, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1118, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1115, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1119, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1408, 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))).
% 0.19/0.44 cnf(i_0_1405, plain, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1))).
% 0.19/0.44 cnf(i_0_951, plain, (c_lessequals(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1))).
% 0.19/0.44 cnf(i_0_975, plain, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Power_Opower(X1))).
% 0.19/0.44 cnf(i_0_976, plain, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_977, plain, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_974, plain, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.44 cnf(i_0_1438, plain, (c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1439, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)=c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1227, plain, (c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.44 cnf(i_0_990, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1602, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1603, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(X4,X3,X1))).
% 0.19/0.44 cnf(i_0_991, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1493, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1494, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(X4,X3,X1))).
% 0.19/0.44 cnf(i_0_1496, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1492, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1419, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))=X2|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1559, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1560, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1002, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),tc_nat))).
% 0.19/0.44 cnf(i_0_1001, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),tc_nat))).
% 0.19/0.44 cnf(i_0_1003, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),tc_nat))).
% 0.19/0.44 cnf(i_0_1250, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1638, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)),c_Nat_Osemiring__1__class_Oof__nat(X3,X1))=c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.19/0.44 cnf(i_0_1397, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=X2|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1627, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_953, plain, (c_Lambda_Obeta(c_Lambda_Osubst(X1,X2,X3),c_Lambda_Osubst(X4,X2,X3))|~c_Lambda_Obeta(X1,X4))).
% 0.19/0.44 cnf(i_0_1039, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat)=c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1700, plain, (c_Nat_Onat_Onat__rec(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3)=X1)).
% 0.19/0.44 cnf(i_0_1712, plain, (c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3)=X1)).
% 0.19/0.44 cnf(i_0_1713, plain, (c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3)=X1)).
% 0.19/0.44 cnf(i_0_1175, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1177, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1174, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1176, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1203, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1205, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1204, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1206, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1199, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 0.19/0.44 cnf(i_0_1303, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 0.19/0.44 cnf(i_0_1198, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1302, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1066, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X4,X1))).
% 0.19/0.44 cnf(i_0_1068, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X4,X1))).
% 0.19/0.44 cnf(i_0_1067, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1069, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1616, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(X1,X2))|~c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X3),tc_nat))).
% 0.19/0.44 cnf(i_0_1151, plain, (X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1649, 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))).
% 0.19/0.44 cnf(i_0_1647, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_List_Olistsum(X2,X1)),c_List_Olistsum(X3,X1))=c_List_Olistsum(c_List_Oappend(X2,X3,X1),X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_1403, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1286, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1562, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_962, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1088, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1091, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1459, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1218, plain, (c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),X4)=hAPP(X2,X3))).
% 0.19/0.44 cnf(i_0_1252, plain, (c_Type_Otype_Otype__rec(X1,X2,c_Type_Otype_OAtom(X3),X4)=hAPP(X1,X3))).
% 0.19/0.44 cnf(i_0_1552, plain, (c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),X4)=hAPP(X1,X3))).
% 0.19/0.44 cnf(i_0_1211, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_939, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1316, 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))).
% 0.19/0.44 cnf(i_0_998, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)))).
% 0.19/0.44 cnf(i_0_967, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.19/0.44 cnf(i_0_1032, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1116, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1117, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1044, plain, (c_HOL_Oord__class_Oless(X1,X4,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1170, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1171, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1072, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=c_HOL_Ozero__class_Ozero(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))).
% 0.19/0.44 cnf(i_0_1073, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=c_HOL_Ozero__class_Ozero(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))).
% 0.19/0.44 cnf(i_0_1145, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat))).
% 0.19/0.44 cnf(i_0_1626, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1429, plain, (c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4)=c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,X4))).
% 0.19/0.44 cnf(i_0_1269, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X2)=c_Orderings_Oord__class_Omax(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1186, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1187, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1684, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1305, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1463, plain, (c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X1)|~class_Ring__and__Field_Oring__1(X1)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_949, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1101, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.44 cnf(i_0_1105, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_997, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1301, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1300, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1064, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1070, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1065, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1071, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1179, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1178, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1201, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1207, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1202, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1208, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1))).
% 0.19/0.44 cnf(i_0_970, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_971, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1488, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1490, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1415, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1417, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1387, 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))).
% 0.19/0.44 cnf(i_0_1643, plain, (c_HOL_Oord__class_Oless(X4,X5,X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_1644, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X4,X5,X1))).
% 0.19/0.44 cnf(i_0_1641, plain, (c_lessequals(X5,X4,X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.44 cnf(i_0_1642, plain, (c_lessequals(X3,X2,X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X5,X4,X1))).
% 0.19/0.44 cnf(i_0_1685, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4)=c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4))).
% 0.19/0.44 cnf(i_0_1687, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4)=c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4))).
% 0.19/0.44 cnf(i_0_1329, plain, (c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4)=c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4))).
% 0.19/0.44 cnf(i_0_1330, plain, (c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4)=c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4))).
% 0.19/0.44 cnf(i_0_1683, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.19/0.44 cnf(i_0_1686, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.19/0.44 cnf(i_0_1192, plain, (c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3)=c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3))).
% 0.19/0.44 cnf(i_0_1193, plain, (c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3)=c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3))).
% 0.19/0.44 cnf(i_0_1089, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1090, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1460, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1561, 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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1))).
% 0.19/0.44 cnf(i_0_961, 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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1))).
% 0.19/0.44 cnf(i_0_1402, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1285, plain, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_972, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)=c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1656, plain, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)=c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.44 cnf(i_0_1682, plain, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)=c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1137, plain, (c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)=c_Orderings_Oord__class_Omin(X3,c_Orderings_Oord__class_Omin(X2,X4,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1534, plain, (c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)=c_Orderings_Oord__class_Omax(X3,c_Orderings_Oord__class_Omax(X2,X4,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1681, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1688, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1680, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1678, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_OrderedGroup_Oab__semigroup__mult(X1))).
% 0.19/0.44 cnf(i_0_1056, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.44 cnf(i_0_1136, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)=c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1533, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)=c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1679, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1109, 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))).
% 0.19/0.44 cnf(i_0_1110, 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))).
% 0.19/0.44 cnf(i_0_1374, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat),c_Suc(X3),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1639, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1149, plain, (X1=X3|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1098, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1418, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),X1)=X2|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1420, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X2)=X1|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_954, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_935, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_936, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_937, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X2,X3,X1))).
% 0.19/0.44 cnf(i_0_943, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1006, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1007, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1008, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1107, plain, (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)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1621, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1624, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1622, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1623, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1141, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1140, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1456, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1483, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1482, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1486, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 0.19/0.44 cnf(i_0_1485, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 0.19/0.44 cnf(i_0_1409, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1413, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1411, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X3,X4,X1))).
% 0.19/0.44 cnf(i_0_1414, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X4,X1))).
% 0.19/0.44 cnf(i_0_1139, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_948, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1021, plain, (c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1022, plain, (c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1))).
% 0.19/0.44 cnf(i_0_1764, plain, (c_Type_Otype_Otype__case(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5)=hAPP(hAPP(X2,X3),X4))).
% 0.19/0.44 cnf(i_0_1265, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),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))).
% 0.19/0.44 cnf(i_0_1306, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1307, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_989, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),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))).
% 0.19/0.44 cnf(i_0_1188, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(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))).
% 0.19/0.44 cnf(i_0_1237, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1238, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1495, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_999, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))).
% 0.19/0.44 cnf(i_0_1451, 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))).
% 0.19/0.44 cnf(i_0_1452, 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))).
% 0.19/0.44 cnf(i_0_1530, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1097, 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))).
% 0.19/0.44 cnf(i_0_1672, 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))).
% 0.19/0.44 cnf(i_0_1673, 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))).
% 0.19/0.44 cnf(i_0_1669, 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))).
% 0.19/0.44 cnf(i_0_1096, 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))).
% 0.19/0.44 cnf(i_0_1674, 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))).
% 0.19/0.44 cnf(i_0_1670, 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))).
% 0.19/0.44 cnf(i_0_1668, 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))).
% 0.19/0.44 cnf(i_0_1446, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1445, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1447, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1309, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1310, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1311, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1313, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1312, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1314, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1315, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1317, 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))).
% 0.19/0.44 cnf(i_0_1375, plain, (c_lessequals(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_lessequals(X2,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1262, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X1,tc_nat)=X2|~c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 0.19/0.44 cnf(i_0_1212, plain, (c_HOL_Oord__class_Oless(X2,X4,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1057, plain, (c_lessequals(X2,X4,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1230, plain, (c_HOL_Oord__class_Oless(X4,X3,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1085, plain, (c_lessequals(X4,X3,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1169, 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))).
% 0.19/0.44 cnf(i_0_1491, 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))).
% 0.19/0.44 cnf(i_0_1427, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1243, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1479, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1210, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1249, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1113, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)=X5|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1209, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1478, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1528, plain, (X2=X4|c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)!=c_Power_Opower__class_Opower(X4,c_Suc(X3),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1442, plain, (c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1545, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,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))).
% 0.19/0.44 cnf(i_0_1546, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,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))).
% 0.19/0.44 cnf(i_0_1547, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,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))).
% 0.19/0.44 cnf(i_0_1544, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,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))).
% 0.19/0.44 cnf(i_0_1441, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,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))).
% 0.19/0.44 cnf(i_0_1444, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,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))).
% 0.19/0.44 cnf(i_0_1443, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1291, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),tc_nat)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_978, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1789, plain, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)|~c_Type_Otyping(X1,X3,X5)|~c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4)))).
% 0.19/0.44 cnf(i_0_1431, plain, (c_List_Oappend(c_List_Oreplicate(X1,X3,X4),c_List_Oreplicate(X2,X3,X4),X4)=c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,X4))).
% 0.19/0.44 cnf(i_0_1196, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1197, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1611, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,tc_nat),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_996, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1103, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1100, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.44 cnf(i_0_1106, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1102, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 0.19/0.44 cnf(i_0_1058, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)=c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1108, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)=c_Power_Opower__class_Opower(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.19/0.44 cnf(i_0_1489, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1416, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.19/0.44 cnf(i_0_1332, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1095, 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),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))).
% 0.19/0.44 cnf(i_0_1094, 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),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1308, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1049, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1529, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1506, 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(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1509, 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(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1507, 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(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1508, 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(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1511, 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(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1162, 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)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1020, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),c_Orderings_Oord__class_Omin(X2,X4,X1),X1)=c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1655, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),c_Orderings_Oord__class_Omax(X2,X4,X1),X1)=c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_942, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1123, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 0.19/0.44 cnf(i_0_1646, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1645, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1))).
% 0.19/0.44 cnf(i_0_1019, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X4,X1),c_Orderings_Oord__class_Omin(X3,X4,X1),X1)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1654, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X4,X1),c_Orderings_Oord__class_Omax(X3,X4,X1),X1)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1290, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1553, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1554, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(X3,X5,X1))).
% 0.19/0.44 cnf(i_0_979, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1))).
% 0.19/0.44 cnf(i_0_1543, plain, (c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3)=c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3))).
% 0.19/0.44 cnf(i_0_1563, plain, (hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X1,X2,X3)),c_Type_Osko__Type__Xtyping__elims__3__2(X1,X2,X3))=X1|~c_Type_Otyping(X2,c_Lambda_OdB_OAbs(X3),X1))).
% 0.19/0.44 cnf(i_0_1630, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),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))=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.44 cnf(i_0_1520, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X2,X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1523, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X2,X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1513, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1516, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1519, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1464, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X4,X2,X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1465, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1164, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1521, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1522, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1517, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1515, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1518, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1524, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1466, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1166, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1467, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1468, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Omult__mono1(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1146, plain, (c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1385, plain, (X2=X4|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X4,X3,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1425, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1426, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1154, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1155, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1005, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1487, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1))).
% 0.19/0.44 cnf(i_0_1484, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1))).
% 0.19/0.44 cnf(i_0_1412, plain, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1))).
% 0.19/0.44 cnf(i_0_1410, plain, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1))).
% 0.19/0.44 cnf(i_0_1004, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1474, plain, (X3=X4|X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat)))).
% 0.19/0.44 cnf(i_0_1428, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1244, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)),X2)|~c_lessequals(X3,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1304, plain, (c_HOL_Ominus__class_Ominus(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(X1,X3,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1635, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3,X4))).
% 0.19/0.44 cnf(i_0_1612, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))))).
% 0.19/0.44 cnf(i_0_1604, plain, (c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X5,X4,X1)|~c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5),X1))).
% 0.19/0.44 cnf(i_0_1401, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),c_Suc(X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_946, 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),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1692, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))=c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat))).
% 0.19/0.44 cnf(i_0_1691, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1318, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1376, 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))).
% 0.19/0.44 cnf(i_0_1799, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)).
% 0.19/0.44 cnf(i_0_1455, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1142, 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(X2,X3,tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1104, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1473, plain, (X4=X5|X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X4,X1))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X5,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1331, plain, (c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Orderings_Oord__class_Omin(X2,X3,X1)),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 0.19/0.44 cnf(i_0_1526, plain, (c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 0.19/0.44 cnf(i_0_1783, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____))).
% 0.19/0.44 cnf(i_0_1753, plain, (c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____))).
% 0.19/0.44 cnf(i_0_1282, plain, (c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X2,X3),X3)=c_List_Oappend(c_List_Oreplicate(X4,X2,X3),c_List_Oreplicate(X1,X2,X3),X3))).
% 0.19/0.44 cnf(i_0_1693, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X2,X4,X1))=c_HOL_Otimes__class_Otimes(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1689, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),c_HOL_Otimes__class_Otimes(X3,X4,X1))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1690, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),c_HOL_Otimes__class_Otimes(X3,X4,X1))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 0.19/0.44 cnf(i_0_1536, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X4,X3,X1))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1394, plain, (c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 0.19/0.44 cnf(i_0_1396, plain, (c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1246, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1631, plain, (c_HOL_Oord__class_Oless(X3,X4,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))).
% 0.19/0.44 cnf(i_0_1633, plain, (c_HOL_Oord__class_Oless(X3,X4,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))).
% 0.19/0.44 cnf(i_0_1634, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 0.19/0.44 cnf(i_0_1632, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1189, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.19/0.44 cnf(i_0_1651, plain, (X2=X5|c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3)!=c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3))).
% 0.19/0.44 cnf(i_0_1650, plain, (X1=X4|c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3)!=c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3))).
% 0.19/0.44 cnf(i_0_1395, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,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))).
% 0.19/0.44 cnf(i_0_1393, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,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))).
% 0.19/0.44 cnf(i_0_1510, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1160, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1161, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1159, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_1512, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 0.19/0.44 cnf(i_0_1163, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))).
% 0.19/0.44 cnf(i_0_1053, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1052, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1099, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1514, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1055, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1054, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1167, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1168, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1))).
% 0.19/0.44 cnf(i_0_1165, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1))).
% 0.19/0.44 cnf(i_0_1476, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1))!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.44 cnf(i_0_1477, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1))!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.44 cnf(i_0_1777, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X5)=hAPP(X1,X5)|~c_HOL_Oord__class_Oless(X5,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1430, plain, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X4),X1),c_Power_Opower__class_Opower(X3,c_Suc(X4),X1),X1))).
% 0.19/0.44 cnf(i_0_1454, 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))).
% 0.19/0.44 cnf(i_0_1143, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 0.19/0.44 cnf(i_0_931, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1617, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1436, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1435, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(X3,X5,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1531, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.44 cnf(i_0_1532, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.44 cnf(i_0_1625, plain, (c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3)=c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3))).
% 0.19/0.44 cnf(i_0_1247, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1248, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)=c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_1795, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)|~c_Type_Otyping(X1,X4,X5))).
% 0.19/0.44 cnf(i_0_955, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)))).
% 0.19/0.44 cnf(i_0_956, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)))).
% 0.19/0.44 cnf(i_0_1757, plain, (c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X1,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xabs__typeE__1__2(X1,X2))|~c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3))).
% 0.19/0.44 cnf(i_0_1380, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.44 cnf(i_0_992, plain, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3))).
% 0.19/0.44 cnf(i_0_957, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X2,X4,X1))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),c_HOL_Otimes__class_Otimes(X2,X3,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_958, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X2,X4,X1))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),c_HOL_Otimes__class_Otimes(X2,X3,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1017, plain, (c_Nat_Onat_Onat__rec(X1,X2,c_Suc(X3),X4)=hAPP(hAPP(X2,X3),c_Nat_Onat_Onat__rec(X1,X2,X3,X4)))).
% 0.19/0.44 cnf(i_0_1040, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1)),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.44 cnf(i_0_1378, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1)),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.44 cnf(i_0_1377, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1)),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.44 cnf(i_0_1640, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1388, plain, (c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),c_Orderings_Oord__class_Omin(X2,X4,X1),X1),c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.19/0.44 cnf(i_0_1242, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),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)),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.44 cnf(i_0_1758, plain, (c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X2,X1,X3),tc_Type_Otype),X3,c_Type_Osko__Type__Xtyping__elims__3__2(X2,X1,X3))|~c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),X2))).
% 0.19/0.44 cnf(i_0_968, plain, (hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X2,tc_nat))))).
% 0.19/0.44 cnf(i_0_969, plain, (hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X2,tc_nat))))).
% 0.19/0.44 cnf(i_0_1793, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X3),X4))|~c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_Type_Otype),X2,X4))).
% 0.19/0.44 cnf(i_0_1790, plain, (c_Type_Otyping(X1,c_Lambda_Osubst(X5,X2,X4),X6)|~c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(c_Type_Oshift(X1,X4,X3,tc_Type_Otype),X5,X6))).
% 0.19/0.44 cnf(i_0_1775, plain, (c_InductTermi_OIT(c_Lambda_Osubst(X3,X4,X5))|hAPP(hAPP(c_Type_Otype_OFun,X1),X2)!=v_T____|~c_InductTermi_OIT(X4)|~c_InductTermi_OIT(X3)|~c_Type_Otyping(X6,X4,X2)|~c_Type_Otyping(c_Type_Oshift(X6,X5,X2,tc_Type_Otype),X3,X7))).
% 0.19/0.44 cnf(i_0_1776, plain, (c_InductTermi_OIT(c_Lambda_Osubst(X3,X4,X5))|hAPP(hAPP(c_Type_Otype_OFun,X1),X2)!=v_T____|~c_InductTermi_OIT(X4)|~c_InductTermi_OIT(X3)|~c_Type_Otyping(X6,X4,X1)|~c_Type_Otyping(c_Type_Oshift(X6,X5,X1,tc_Type_Otype),X3,X7))).
% 0.19/0.44 cnf(i_0_1233, plain, (X2=X4|X1=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X4,tc_nat)),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)))).
% 0.19/0.44 cnf(i_0_1234, plain, (X2=X4|X1=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X4,tc_nat)),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)))).
% 0.19/0.44 cnf(i_0_1231, plain, (X3=X5|X2=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X4,X5,X1))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X5,X1)),c_HOL_Otimes__class_Otimes(X4,X3,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1232, plain, (X3=X5|X2=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),c_HOL_Otimes__class_Otimes(X4,X5,X1))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X5,X1)),c_HOL_Otimes__class_Otimes(X4,X3,X1))|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.19/0.44 cnf(i_0_1216, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)).
% 0.19/0.44 cnf(i_0_1770, plain, (c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4)=X3)).
% 0.19/0.44 cnf(i_0_1750, plain, (c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,c_HOL_Ozero__class_Ozero(X1),X1,X1)=c_List_Olistsum(X2,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_983, plain, (c_List_Olistsum(X2,X1)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_1222, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1)),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1191, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X3,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1190, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X3,X3,X1)),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.44 cnf(i_0_1182, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat)),X4))).
% 0.19/0.44 cnf(i_0_1183, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X4,X3,X1)),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X3,X1)),X5)|~class_Ring__and__Field_Osemiring(X1))).
% 0.19/0.44 cnf(i_0_1788, plain, (c_Type_Oshift(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X5,X4),c_Suc(X2),X3,X4)=c_Type_Oshift(c_Type_Oshift(X1,X2,X3,X4),c_HOL_Ozero__class_Ozero(tc_nat),X5,X4))).
% 0.19/0.44 cnf(i_0_1540, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),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))).
% 0.19/0.44 cnf(i_0_922, plain, (X4=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1)),X6)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),X4)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X5,X3,X1)),X6)|~class_Ring__and__Field_Oring(X1))).
% 0.19/0.44 cnf(i_0_921, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1)),X4)=X6|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),X4)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X5,X3,X1)),X6)|~class_Ring__and__Field_Oring(X1))).
% 0.19/0.44 cnf(i_0_1084, plain, (X3=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat)),X5)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X4,X2,tc_nat)),X5)|~c_lessequals(X1,X4,tc_nat))).
% 0.19/0.44 cnf(i_0_1083, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat)),X3)=X5|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X4,X2,tc_nat)),X5)|~c_lessequals(X4,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1726, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_HOL_Ozero__class_Ozero(tc_nat),t_a))))).
% 0.19/0.44 cnf(i_0_1194, plain, (hBOOL(hAPP(X1,hAPP(X3,X4)))|~hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_Suc(X4),t_a))))).
% 0.19/0.44 cnf(i_0_1195, plain, (hBOOL(hAPP(X1,hAPP(X3,X4)))|~hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_Suc(X4),t_a))))).
% 0.19/0.44 cnf(i_0_1369, plain, (hBOOL(hAPP(X1,hAPP(X2,X4)))|~hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X3,c_Type_Otype_OAtom(X4),t_a))))).
% 0.19/0.44 cnf(i_0_1370, plain, (hBOOL(hAPP(X1,hAPP(X2,X4)))|~hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X3,c_Type_Otype_OAtom(X4),t_a))))).
% 0.19/0.44 cnf(i_0_1298, plain, (X1=c_Lambda_OdB_OAbs(X3)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X3))).
% 0.19/0.44 cnf(i_0_1251, plain, (c_Lambda_OdB_OVar(X1)=X2|c_Lambda_OdB_OVar(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_1185, plain, (c_Lambda_OdB_OAbs(X1)=X2|c_Lambda_OdB_OAbs(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_938, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X5,X3,X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1)),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),X4)|~class_Ring__and__Field_Oring(X1))).
% 0.19/0.44 cnf(i_0_927, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X2,X1),X3,X1)),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X4,X3,X1)),X5)|~class_Ring__and__Field_Oring(X1))).
% 0.19/0.44 cnf(i_0_1062, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat)),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X4)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1086, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat)),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X4)|~c_lessequals(X1,X2,tc_nat))).
% 0.19/0.44 cnf(i_0_1537, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_1763, plain, (hAPP(hAPP(hAPP(hAPP(X2,X3),X4),c_Type_Otype_Otype__rec(X1,X2,X3,X5)),c_Type_Otype_Otype__rec(X1,X2,X4,X5))=c_Type_Otype_Otype__rec(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5))).
% 0.19/0.44 cnf(i_0_1765, plain, (hBOOL(hAPP(X1,hAPP(hAPP(X3,X4),X5)))|~hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X3,hAPP(hAPP(c_Type_Otype_OFun,X4),X5),t_a))))).
% 0.19/0.44 cnf(i_0_1766, plain, (hBOOL(hAPP(X1,hAPP(hAPP(X3,X4),X5)))|~hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X3,hAPP(hAPP(c_Type_Otype_OFun,X4),X5),t_a))))).
% 0.19/0.44 cnf(i_0_1759, plain, (c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3))).
% 0.19/0.44 cnf(i_0_1794, plain, (hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))=v_T____)).
% 0.19/0.44 cnf(i_0_1076, plain, (c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X2,X1,X1)|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 0.19/0.44 cnf(i_0_1751, plain, (c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,c_HOL_Ozero__class_Ozero(X1),X1,X1)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_965, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X4,X2,tc_nat)),X5),tc_nat)=c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat)),X5),tc_nat)|~c_lessequals(X1,X4,tc_nat))).
% 0.19/0.44 cnf(i_0_966, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X4,X2,tc_nat)),X5),tc_nat)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat)),X3),X5,tc_nat)|~c_lessequals(X4,X1,tc_nat))).
% 0.19/0.44 cnf(i_0_1156, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5)=c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5))).
% 0.19/0.44 cnf(i_0_1781, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))).
% 0.19/0.44 cnf(i_0_924, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat)),X5),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat)),X5),tc_nat))).
% 0.19/0.44 cnf(i_0_1225, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat)),X5),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X4,tc_nat)),X5),tc_nat))).
% 0.19/0.44 cnf(i_0_926, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),X5,tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X5),tc_nat))).
% 0.19/0.44 cnf(i_0_1223, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),X5,tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X5),tc_nat))).
% 0.19/0.44 cnf(i_0_1079, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1)),X6),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X4,X5,X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X5,X1)),X6),X1))).
% 0.19/0.44 cnf(i_0_1036, plain, (c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1)),X6),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X4,X5,X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X5,X1)),X6),X1))).
% 0.19/0.44 cnf(i_0_1081, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)),X5),X6,X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X6),X1))).
% 0.19/0.44 cnf(i_0_1038, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)),X5),X6,X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),X5),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X6),X1))).
% 0.19/0.44 cnf(i_0_923, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X4,X2,tc_nat)),X5),tc_nat)|~c_lessequals(X1,X4,tc_nat)|~c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat)),X5),tc_nat))).
% 0.19/0.44 cnf(i_0_1226, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X4,X2,tc_nat)),X5),tc_nat)|~c_lessequals(X1,X4,tc_nat)|~c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat)),X5),tc_nat))).
% 0.19/0.44 cnf(i_0_925, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X4,X2,tc_nat)),X5),tc_nat)|~c_lessequals(X4,X1,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat)),X3),X5,tc_nat))).
% 0.19/0.44 cnf(i_0_1224, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X4,X2,tc_nat)),X5),tc_nat)|~c_lessequals(X4,X1,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat)),X3),X5,tc_nat))).
% 0.19/0.44 cnf(i_0_1078, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X5,X3,X1)),X6),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1)),X6),X1))).
% 0.19/0.44 cnf(i_0_1035, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X5,X3,X1)),X6),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1)),X6),X1))).
% 0.19/0.44 cnf(i_0_1080, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X5,X3,X1)),X6),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1)),X4),X6,X1))).
% 0.19/0.44 cnf(i_0_1037, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X5,X3,X1)),X6),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1)),X4),X6,X1))).
% 0.19/0.44 cnf(i_0_1752, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X3,c_HOL_Ozero__class_Ozero(X1),X1,X1))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_1200, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X3,X1,X1))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.44 cnf(i_0_1768, plain, (c_List_Ofoldr(X1,c_List_Olist_OCons(X2,X3,X4),X5,X4,X6)=hAPP(hAPP(X1,X2),c_List_Ofoldr(X1,X3,X5,X4,X6)))).
% 0.19/0.44 cnf(i_0_1371, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_1217, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_1048, plain, (c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1))|~class_OrderedGroup_Osemigroup__add(X1))).
% 0.19/0.44 cnf(i_0_1608, plain, (X2=X4|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_1296, plain, (X2=X4|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_1609, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_1297, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.19/0.44 cnf(i_0_1124, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.19/0.44 cnf(i_0_1450, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.19/0.44 cnf(i_0_1253, plain, (c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))|~c_Lambda_Obeta(X1,X3))).
% 0.19/0.44 cnf(i_0_1798, plain, (c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))))).
% 0.19/0.44 cnf(i_0_1551, plain, (c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5)=c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5))).
% 0.19/0.44 cnf(i_0_1769, plain, (c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X5,X4,X6),X4,X6)=c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6))).
% 0.19/0.44 cnf(i_0_1791, plain, (c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))))).
% 0.19/0.44 cnf(i_0_1779, plain, (c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)|~c_Type_Otypings(X1,X3,X5)|~c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X5,X4,tc_Type_Otype,tc_Type_Otype)))).
% 0.19/0.44 cnf(i_0_1215, plain, (c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB))|~c_InductTermi_OIT(X2)|~c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))).
% 0.19/0.44 cnf(i_0_1778, plain, (c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.19/0.44 cnf(i_0_1780, plain, (c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.19/0.44 cnf(i_0_1276, plain, (X1=X2|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X2)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1))).
% 0.19/0.44 cnf(i_0_1800, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))))).
% 0.19/0.44 cnf(i_0_1339, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X2,X7))).
% 0.19/0.44 cnf(i_0_1358, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X2,X7))).
% 0.19/0.44 cnf(i_0_1359, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X3,X6,X7))).
% 0.19/0.44 cnf(i_0_1343, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X2,X6,X7))).
% 0.19/0.44 cnf(i_0_1364, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X2,X6,X7))).
% 0.19/0.44 cnf(i_0_1357, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X3,X7))).
% 0.19/0.44 cnf(i_0_1340, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X2,X6,X7))).
% 0.19/0.44 cnf(i_0_1360, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X2,X6,X7))).
% 0.19/0.44 cnf(i_0_1363, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X3,X6,X7))).
% 0.19/0.44 cnf(i_0_1749, plain, (hAPP(hAPP(X1,X2),c_HOL_Ozero__class_Ozero(tc_nat))=X3|~c_Groebner__Basis_Ogb__semiring(X4,X5,X1,X6,X3,X7))).
% 0.19/0.44 cnf(i_0_1337, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X7,X8))).
% 0.19/0.44 cnf(i_0_1362, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X7,X8))).
% 0.19/0.44 cnf(i_0_1341, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X6,X7,X8))).
% 0.19/0.44 cnf(i_0_1345, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X6,X7,X8))).
% 0.19/0.44 cnf(i_0_1423, plain, (hAPP(hAPP(X1,X2),c_Suc(X3))=hAPP(hAPP(X4,X2),hAPP(hAPP(X1,X2),X3))|~c_Groebner__Basis_Ogb__semiring(X5,X4,X1,X6,X7,X8))).
% 0.19/0.44 cnf(i_0_1424, plain, (hAPP(hAPP(X1,X2),c_Suc(X3))=hAPP(hAPP(X4,X2),hAPP(hAPP(X1,X2),X3))|~c_Groebner__Basis_Ogb__semiring(X5,X4,X1,X6,X7,X8))).
% 0.19/0.44 cnf(i_0_1421, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X2),X4))=hAPP(hAPP(X3,X2),c_Suc(X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X3,X6,X7,X8))).
% 0.19/0.44 cnf(i_0_1365, plain, (hAPP(hAPP(X1,X2),X2)=hAPP(hAPP(X3,hAPP(hAPP(X1,X4),X4)),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X3,X5,X6,X4,X7))).
% 0.19/0.44 cnf(i_0_1350, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1347, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1422, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X3)=hAPP(hAPP(X2,X3),c_Suc(X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X2,X6,X7,X8))).
% 0.19/0.44 cnf(i_0_1366, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X4),X2))=hAPP(hAPP(X3,hAPP(hAPP(X1,X4),X5)),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X3,X6,X7,X5,X8))).
% 0.19/0.44 cnf(i_0_1338, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1351, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1342, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1344, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1352, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1348, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1018, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat))|~c_Groebner__Basis_Ogb__semiring(X5,X6,X1,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1367, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X4)=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Groebner__Basis_Ogb__semiring(X1,X2,X6,X7,X5,X8))).
% 0.19/0.44 cnf(i_0_1353, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),X3)|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1346, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),X3)|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1336, plain, (hAPP(hAPP(X3,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X2),X5))=hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X4),X5))|~c_Groebner__Basis_Ogb__semiring(X3,X1,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1061, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X3),X5))=hAPP(hAPP(X2,X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X5))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X2,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1335, plain, (hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5)|~c_Groebner__Basis_Ogb__semiring(X6,X2,X1,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1361, plain, (hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5)|~c_Groebner__Basis_Ogb__semiring(X2,X1,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1368, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X5),X4))=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Groebner__Basis_Ogb__semiring(X1,X2,X6,X7,X8,X9))).
% 0.19/0.44 cnf(i_0_1355, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5)))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X7,X8,X9,X10))).
% 0.19/0.44 cnf(i_0_1356, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X3),X5))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X7,X8,X9,X10))).
% 0.19/0.44 cnf(i_0_1349, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X3),X5))|~c_Groebner__Basis_Ogb__semiring(X1,X6,X7,X8,X9,X10))).
% 0.19/0.44 cnf(i_0_1354, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,X4),hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X5))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X7,X8,X9,X10))).
% 0.19/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.44 # Begin printing tableau
% 0.19/0.44 # Found 3 steps
% 0.19/0.44 cnf(i_0_1800, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), inference(start_rule)).
% 0.19/0.44 cnf(i_0_1841, plain, (~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), inference(extension_rule, [i_0_1795])).
% 0.19/0.44 cnf(i_0_3535, plain, (~c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))), inference(closure_rule, [i_0_1798])).
% 0.19/0.44 # End printing tableau
% 0.19/0.44 # SZS output end
% 0.19/0.44 # Branches closed with saturation will be marked with an "s"
% 0.19/0.44 # Returning from population with 2 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.44 # We now have 2 tableaux to operate on
% 0.19/0.44 # Found closed tableau during pool population.
% 0.19/0.44 # Proof search is over...
% 0.19/0.44 # Freeing feature tree
%------------------------------------------------------------------------------