TSTP Solution File: LCL848-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL848-1 : 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 : n008.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 10:25:58 EDT 2022
% Result : Unsatisfiable 0.54s 0.74s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL848-1 : 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
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 04:45:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # No SInE strategy applied
% 0.19/0.45 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.19/0.45 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.45 #
% 0.19/0.45 # Presaturation interreduction done
% 0.19/0.45 # Number of axioms: 723 Number of unprocessed: 587
% 0.19/0.45 # Tableaux proof search.
% 0.19/0.45 # APR header successfully linked.
% 0.19/0.45 # Hello from C++
% 0.54/0.72 # The folding up rule is enabled...
% 0.54/0.72 # Local unification is enabled...
% 0.54/0.72 # Any saturation attempts will use folding labels...
% 0.54/0.72 # 587 beginning clauses after preprocessing and clausification
% 0.54/0.72 # Creating start rules for all 1 conjectures.
% 0.54/0.72 # There are 1 start rule candidates:
% 0.54/0.72 # Found 185 unit axioms.
% 0.54/0.72 # 1 start rule tableaux created.
% 0.54/0.72 # 402 extension rule candidate clauses
% 0.54/0.72 # 185 unit axiom clauses
% 0.54/0.72
% 0.54/0.72 # Requested 8, 32 cores available to the main process.
% 0.54/0.72 # There are not enough tableaux to fork, creating more from the initial 1
% 0.54/0.74 # There were 1 total branch saturation attempts.
% 0.54/0.74 # There were 0 of these attempts blocked.
% 0.54/0.74 # There were 0 deferred branch saturation attempts.
% 0.54/0.74 # There were 0 free duplicated saturations.
% 0.54/0.74 # There were 1 total successful branch saturations.
% 0.54/0.74 # There were 0 successful branch saturations in interreduction.
% 0.54/0.74 # There were 0 successful branch saturations on the branch.
% 0.54/0.74 # There were 1 successful branch saturations after the branch.
% 0.54/0.74 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74 # Begin clausification derivation
% 0.54/0.74
% 0.54/0.74 # End clausification derivation
% 0.54/0.74 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.54/0.74 cnf(i_0_1404, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.54/0.74 cnf(i_0_1370, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_ta____)))).
% 0.54/0.74 cnf(i_0_1406, plain, (class_Orderings_Oorder(tc_nat))).
% 0.54/0.74 cnf(i_0_1392, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.54/0.74 cnf(i_0_1417, plain, (class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1387, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1386, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.54/0.74 cnf(i_0_1401, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.54/0.74 cnf(i_0_1405, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.54/0.74 cnf(i_0_1388, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1395, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1409, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.54/0.74 cnf(i_0_1385, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1438, plain, (class_Orderings_Opreorder(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1410, plain, (class_Orderings_Oorder(tc_bool))).
% 0.54/0.74 cnf(i_0_1408, plain, (class_Int_Onumber(tc_nat))).
% 0.54/0.74 cnf(i_0_1399, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.54/0.74 cnf(i_0_1407, plain, (class_Power_Opower(tc_nat))).
% 0.54/0.74 cnf(i_0_1393, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.54/0.74 cnf(i_0_1398, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.54/0.74 cnf(i_0_1440, plain, (class_Orderings_Oorder(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1396, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.54/0.74 cnf(i_0_1435, plain, (class_Ring__and__Field_Oring__1(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1421, plain, (class_Ring__and__Field_Oordered__semidom(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1414, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1412, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1390, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1389, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1394, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1391, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.54/0.74 cnf(i_0_1400, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.54/0.74 cnf(i_0_1434, plain, (class_OrderedGroup_Ogroup__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1402, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1432, plain, (class_OrderedGroup_Omonoid__mult(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1439, plain, (class_Orderings_Olinorder(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1415, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1418, plain, (class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1397, plain, (class_OrderedGroup_Osemigroup__add(tc_nat))).
% 0.54/0.74 cnf(i_0_1403, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.54/0.74 cnf(i_0_1285, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_s____)))).
% 0.54/0.74 cnf(i_0_1368, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))).
% 0.54/0.74 cnf(i_0_1424, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1411, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1444, plain, (class_Int_Onumber(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1429, plain, (class_Ring__and__Field_Osemiring__0(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1443, plain, (class_Power_Opower(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1422, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1430, plain, (class_OrderedGroup_Oab__group__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1428, plain, (class_Ring__and__Field_Osemiring__1(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1425, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1436, plain, (class_Ring__and__Field_Oidom(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1442, plain, (class_Int_Onumber__ring(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1419, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1416, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1441, plain, (class_Int_Oring__char__0(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1423, plain, (class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1420, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1431, plain, (class_Ring__and__Field_Omult__zero(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1413, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1433, plain, (class_OrderedGroup_Omonoid__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1427, plain, (class_OrderedGroup_Osemigroup__add(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1437, plain, (class_Nat_Osemiring__char__0(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1426, plain, (class_Ring__and__Field_Oordered__idom(tc_Int_Oint))).
% 0.54/0.74 cnf(i_0_1331, plain, (c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(X1))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_1330, plain, (c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(X1),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_730, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1381, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_959, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1311, plain, (c_List_Olength__unique(c_List_Olist_ONil(X1),X1)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_958, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_955, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_954, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.54/0.74 cnf(i_0_1130, plain, (c_List_Orev(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))).
% 0.54/0.74 cnf(i_0_1445, plain, (c_fequal(X1,X1,X2))).
% 0.54/0.74 cnf(i_0_1131, plain, (c_List_Obutlast(c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))).
% 0.54/0.74 cnf(i_0_1104, plain, (c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=X1)).
% 0.54/0.74 cnf(i_0_753, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))).
% 0.54/0.74 cnf(i_0_860, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat))).
% 0.54/0.74 cnf(i_0_1152, plain, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2))).
% 0.54/0.74 cnf(i_0_1309, plain, (c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_1308, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1307, plain, (c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1148, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)).
% 0.54/0.74 cnf(i_0_1146, plain, (c_List_Oappend(c_List_Olist_ONil(X1),X2,X1)=X2)).
% 0.54/0.74 cnf(i_0_1189, plain, (c_List_Orev(c_List_Orev(X1,X2),X2)=X1)).
% 0.54/0.74 cnf(i_0_1302, plain, (c_List_Olist_Olist__size(X1,c_List_Olist_ONil(X2),X2)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_1137, plain, (c_List_Osplice(X1,c_List_Olist_ONil(X2),X2)=X1)).
% 0.54/0.74 cnf(i_0_1138, plain, (c_List_Osplice(c_List_Olist_ONil(X1),X2,X1)=X2)).
% 0.54/0.74 cnf(i_0_1151, plain, (c_List_Otake(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1144, plain, (c_List_Odrop(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1132, plain, (c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1154, plain, (c_List_Osublist(c_List_Olist_ONil(X1),X2,X1)=c_List_Olist_ONil(X1))).
% 0.54/0.74 cnf(i_0_766, plain, (c_List_Oset(c_List_Orev(X1,X2),X2)=c_List_Oset(X1,X2))).
% 0.54/0.74 cnf(i_0_1178, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2)).
% 0.54/0.74 cnf(i_0_960, plain, (c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3)=X1)).
% 0.54/0.74 cnf(i_0_1283, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))).
% 0.54/0.74 cnf(i_0_916, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1160, plain, (c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3)=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_1156, plain, (c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1)=c_List_Olist_ONil(X1))).
% 0.54/0.74 cnf(i_0_1318, plain, (c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=X1)).
% 0.54/0.74 cnf(i_0_1367, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)).
% 0.54/0.74 cnf(i_0_1319, plain, (c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1299, plain, (c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_nat),X3)=X1)).
% 0.54/0.74 cnf(i_0_1268, plain, (c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2))=c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)))).
% 0.54/0.74 cnf(i_0_797, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat))).
% 0.54/0.74 cnf(i_0_1287, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),X2)),X3),X2)=X1)).
% 0.54/0.74 cnf(i_0_1247, plain, (c_Nat_Osize__class_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3))=X1)).
% 0.54/0.74 cnf(i_0_774, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_1282, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),X5)=hAPP(X1,X4))).
% 0.54/0.74 cnf(i_0_1369, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,X1),X2)),hAPP(hAPP(c_Lambda_Olift,X3),X2))=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),X2))).
% 0.54/0.74 cnf(i_0_1200, plain, (c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3)=c_List_Oreplicate(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_1327, plain, (c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)=c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2))).
% 0.54/0.74 cnf(i_0_1352, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))).
% 0.54/0.74 cnf(i_0_1248, plain, (c_List_Olist__update(X1,X2,c_List_Onth(X1,X2,X3),X3)=X1)).
% 0.54/0.74 cnf(i_0_1052, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),X5)=hAPP(X3,X4))).
% 0.54/0.74 cnf(i_0_1224, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)))))).
% 0.54/0.74 cnf(i_0_1123, plain, (c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3)=X1)).
% 0.54/0.74 cnf(i_0_1301, plain, (c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_nat),X4,X3)=c_List_Olist_OCons(X4,X2,X3))).
% 0.54/0.74 cnf(i_0_1122, plain, (c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3)=X2)).
% 0.54/0.74 cnf(i_0_1017, plain, (c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3)=c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3))).
% 0.54/0.74 cnf(i_0_892, plain, (c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Odrop(X1,X3,X4))).
% 0.54/0.74 cnf(i_0_882, plain, (c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X3)=c_List_Onth(X2,X4,X3))).
% 0.54/0.74 cnf(i_0_1030, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 0.54/0.74 cnf(i_0_1193, plain, (c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2)=X1)).
% 0.54/0.74 cnf(i_0_1024, plain, (c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2)=X3)).
% 0.54/0.74 cnf(i_0_1018, plain, (c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3)=X2)).
% 0.54/0.74 cnf(i_0_1194, plain, (c_Nat_Osize__class_Osize(c_List_Omap(X1,X2,X3,X4),tc_List_Olist(X4))=c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)))).
% 0.54/0.74 cnf(i_0_1170, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),X6)=hAPP(hAPP(X2,X4),X5))).
% 0.54/0.74 cnf(i_0_1012, plain, (c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4))=c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)))).
% 0.54/0.74 cnf(i_0_1293, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,X1),X2),c_List_Omap(c_COMBC(c_Lambda_Olift,X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),X2))).
% 0.54/0.74 cnf(i_0_1116, plain, (c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3)=c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.54/0.74 cnf(i_0_896, plain, (c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3))=c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat))).
% 0.54/0.74 cnf(i_0_906, 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))).
% 0.54/0.74 cnf(i_0_1274, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.54/0.74 cnf(i_0_923, 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))).
% 0.54/0.74 cnf(i_0_1084, plain, (c_List_Oappend(c_List_Orev(X1,X2),c_List_Orev(X3,X2),X2)=c_List_Orev(c_List_Oappend(X3,X1,X2),X2))).
% 0.54/0.74 cnf(i_0_1195, plain, (c_List_Omap(X1,c_List_Oreplicate(X2,X3,X4),X4,X5)=c_List_Oreplicate(X2,hAPP(X1,X3),X5))).
% 0.54/0.74 cnf(i_0_883, plain, (c_List_Otake(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4))).
% 0.54/0.74 cnf(i_0_980, plain, (c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4))).
% 0.54/0.74 cnf(i_0_1272, plain, (c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4)=c_List_Olist__update(X1,X2,X5,X4))).
% 0.54/0.74 cnf(i_0_1124, plain, (c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)=c_List_Orev(c_List_Olist_OCons(X3,X1,X2),X2))).
% 0.54/0.74 cnf(i_0_1187, plain, (c_List_Otake(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),X2,X3)=c_List_OtakeWhile(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_901, plain, (c_lessequals(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1186, plain, (c_List_Onth(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X4)=X2)).
% 0.54/0.74 cnf(i_0_897, plain, (c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X5,X3)=c_List_Olist_OCons(X1,c_List_Olist__update(X2,X4,X5,X3),X3))).
% 0.54/0.74 cnf(i_0_903, plain, (c_List_Otake(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_List_Odrop(X2,X3,X4),X4)=c_List_Odrop(X2,c_List_Otake(X1,X3,X4),X4))).
% 0.54/0.74 cnf(i_0_1109, plain, (c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)=c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3))).
% 0.54/0.74 cnf(i_0_1165, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X2),X3))=hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4)),X2),X3))).
% 0.54/0.74 cnf(i_0_1066, plain, (c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat),c_List_Orev(X1,X2),X2)=c_List_Orev(c_List_Otake(X3,X1,X2),X2))).
% 0.54/0.74 cnf(i_0_1065, plain, (c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat),c_List_Orev(X1,X2),X2)=c_List_Orev(c_List_Odrop(X3,X1,X2),X2))).
% 0.54/0.74 cnf(i_0_1174, plain, (c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X4,X5),X6,X4,X5)=c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X6,X5),X4,X5))).
% 0.54/0.74 cnf(i_0_1266, plain, (c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3)=c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3))).
% 0.54/0.74 cnf(i_0_1227, plain, (c_List_Oappend(c_List_Omap(X1,X2,X3,X4),c_List_Omap(X1,X5,X3,X4),X4)=c_List_Omap(X1,c_List_Oappend(X2,X5,X3),X3,X4))).
% 0.54/0.74 cnf(i_0_1253, plain, (c_List_Olist__update(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X5,X4)=c_List_Oappend(X1,c_List_Olist_OCons(X5,X3,X4),X4))).
% 0.54/0.74 cnf(i_0_1058, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X2,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X4,tc_Lambda_OdB,tc_Lambda_OdB)),X2),X3))).
% 0.54/0.74 cnf(i_0_996, plain, (c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X4,X3),X3)=c_List_Otake(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.54/0.74 cnf(i_0_1000, plain, (c_List_Oappend(c_List_Odrop(X1,X2,X3),c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X4,X3),X3)=c_List_Odrop(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.54/0.74 cnf(i_0_874, plain, (c_Suc(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(X3,X1,X2),tc_List_Olist(X2)))).
% 0.54/0.74 cnf(i_0_918, 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))).
% 0.54/0.74 cnf(i_0_899, plain, (c_List_Oreplicate(c_Suc(X1),X2,X3)=c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3))).
% 0.54/0.74 cnf(i_0_1181, plain, (c_List_Orev(c_List_Omap(X1,X2,X3,X4),X4)=c_List_Omap(X1,c_List_Orev(X2,X3),X3,X4))).
% 0.54/0.74 cnf(i_0_1047, plain, (c_List_Otake(X1,c_List_Omap(X2,X3,X4,X5),X5)=c_List_Omap(X2,c_List_Otake(X1,X3,X4),X4,X5))).
% 0.54/0.74 cnf(i_0_1267, plain, (c_List_Odrop(X1,c_List_Omap(X2,X3,X4,X5),X5)=c_List_Omap(X2,c_List_Odrop(X1,X3,X4),X4,X5))).
% 0.54/0.74 cnf(i_0_1372, 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))).
% 0.54/0.74 cnf(i_0_1113, plain, (c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5)=c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5))).
% 0.54/0.74 cnf(i_0_1081, plain, (c_List_Omap(X1,c_List_Olist__update(X2,X3,X4,X5),X5,X6)=c_List_Olist__update(c_List_Omap(X1,X2,X5,X6),X3,hAPP(X1,X4),X6))).
% 0.54/0.74 cnf(i_0_1234, 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))).
% 0.54/0.74 cnf(i_0_1100, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.54/0.74 cnf(i_0_737, plain, (c_Suc(X1)!=X1)).
% 0.54/0.74 cnf(i_0_950, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_1102, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.54/0.74 cnf(i_0_1218, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1180, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.54/0.74 cnf(i_0_1365, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.54/0.74 cnf(i_0_1377, plain, (c_List_Olist_OCons(X1,X2,X3)!=X2)).
% 0.54/0.74 cnf(i_0_742, plain, (~c_lessequals(c_Suc(X1),X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1179, plain, (~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X1)),X2)))).
% 0.54/0.74 cnf(i_0_1361, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_967, plain, (~c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3))).
% 0.54/0.74 cnf(i_0_968, plain, (~c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2))).
% 0.54/0.74 cnf(i_0_1167, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.54/0.74 cnf(i_0_1344, 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))).
% 0.54/0.74 cnf(i_0_1343, plain, (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_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_875, plain, (~c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1382, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))))))).
% 0.54/0.74 cnf(i_0_939, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.54/0.74 cnf(i_0_775, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.54/0.74 cnf(i_0_953, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.54/0.74 cnf(i_0_1222, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.54/0.74 cnf(i_0_1355, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.54/0.74 cnf(i_0_1210, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.54/0.74 cnf(i_0_1220, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.54/0.74 cnf(i_0_1221, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.54/0.74 cnf(i_0_1286, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.54/0.74 cnf(i_0_862, 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))).
% 0.54/0.74 cnf(i_0_1446, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_837, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.54/0.74 cnf(i_0_767, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.54/0.74 cnf(i_0_928, plain, (~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1378, plain, (X1=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OVar(X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1101, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1366, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X1),X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.54/0.74 cnf(i_0_1297, 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))).
% 0.54/0.74 cnf(i_0_921, plain, (~c_lessequals(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1014, 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))).
% 0.54/0.74 cnf(i_0_806, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.54/0.74 cnf(i_0_804, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.54/0.74 cnf(i_0_1379, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.54/0.74 cnf(i_0_1155, plain, (c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.54/0.74 cnf(i_0_1139, plain, (X1=c_List_Olist_ONil(X2)|c_List_Orev(X1,X2)!=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1345, plain, (X1=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OAbs(X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1364, 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))).
% 0.54/0.74 cnf(i_0_1383, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.54/0.74 cnf(i_0_1384, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.54/0.74 cnf(i_0_1031, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,X1,X3))).
% 0.54/0.74 cnf(i_0_1133, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X1,X3,X2)!=X3)).
% 0.54/0.74 cnf(i_0_1350, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))|~c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1298, plain, (c_List_Olistsum(c_List_Olist_ONil(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.54/0.74 cnf(i_0_1135, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X3,X1,X2)!=X3)).
% 0.54/0.74 cnf(i_0_1241, plain, (X1=X2|c_List_Orev(X1,X3)!=c_List_Orev(X2,X3))).
% 0.54/0.74 cnf(i_0_1305, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_1304, plain, (X1=c_List_Olist_ONil(X2)|c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_728, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.54/0.74 cnf(i_0_729, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.54/0.74 cnf(i_0_1279, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.54/0.74 cnf(i_0_786, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_1363, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2))).
% 0.54/0.74 cnf(i_0_1277, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.54/0.74 cnf(i_0_1278, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.54/0.74 cnf(i_0_1142, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X3,X1,X2)!=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1143, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oappend(X1,X3,X2)!=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1362, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))).
% 0.54/0.74 cnf(i_0_1375, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1339, plain, (hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X1)),X2)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_795, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.54/0.74 cnf(i_0_810, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat))).
% 0.54/0.74 cnf(i_0_758, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_785, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_1357, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1201, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.54/0.74 cnf(i_0_780, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.54/0.74 cnf(i_0_744, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.54/0.74 cnf(i_0_1032, plain, (c_in(X1,X2,X3)|~hBOOL(hAPP(X2,X1)))).
% 0.54/0.74 cnf(i_0_1356, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1281, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))).
% 0.54/0.74 cnf(i_0_947, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.54/0.74 cnf(i_0_948, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.54/0.74 cnf(i_0_724, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.54/0.74 cnf(i_0_1145, plain, (X1=c_List_Olist_ONil(X2)|c_List_Omap(X3,X1,X2,X4)!=c_List_Olist_ONil(X4))).
% 0.54/0.74 cnf(i_0_1332, plain, (X1=c_Lambda_OdB_OAbs(X2)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X2))).
% 0.54/0.74 cnf(i_0_1006, plain, (c_List_Ohd(c_List_Orev(X1,X2),X2)=c_List_Olast(X1,X2)|X1=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1163, plain, (X1=c_List_Olist_ONil(X2)|c_List_Olist__update(X1,X3,X4,X2)!=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_937, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.54/0.74 cnf(i_0_829, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.54/0.74 cnf(i_0_865, 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))).
% 0.54/0.74 cnf(i_0_864, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.54/0.74 cnf(i_0_1310, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_List_Olist_ONil(X3)|c_List_Otake(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_1007, plain, (c_List_Olast(c_List_Orev(X1,X2),X2)=c_List_Ohd(X1,X2)|X1=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_765, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_1264, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(c_List_Oappend(X3,X1,X2),X2)|~class_Orderings_Olinorder(X2))).
% 0.54/0.74 cnf(i_0_1263, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X3,X2),X2)|~class_Orderings_Olinorder(X2))).
% 0.54/0.74 cnf(i_0_1118, plain, (c_List_Olinorder__class_Osorted(X1,X2)|~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X1,X2),X2)|~class_Orderings_Olinorder(X2))).
% 0.54/0.74 cnf(i_0_1338, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_OdB_OVar(X2)),X3)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.54/0.74 cnf(i_0_1358, plain, (X1=X2|c_List_Olist_OCons(X3,X1,X4)!=c_List_Olist_OCons(X5,X2,X4))).
% 0.54/0.74 cnf(i_0_1359, plain, (X1=X2|c_List_Olist_OCons(X1,X3,X4)!=c_List_Olist_OCons(X2,X5,X4))).
% 0.54/0.74 cnf(i_0_820, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_1028, plain, (X1=X2|c_Int_Onumber__class_Onumber__of(X1,X3)!=c_Int_Onumber__class_Onumber__of(X2,X3)|~class_Int_Oring__char__0(X3)|~class_Int_Onumber__ring(X3))).
% 0.54/0.74 cnf(i_0_1184, plain, (X1=X2|c_List_Oappend(X3,X1,X4)!=c_List_Oappend(X3,X2,X4))).
% 0.54/0.74 cnf(i_0_1183, plain, (X1=X2|c_List_Oappend(X1,X3,X4)!=c_List_Oappend(X2,X3,X4))).
% 0.54/0.74 cnf(i_0_1182, plain, (X1=X2|c_List_Oreplicate(X1,X3,X4)!=c_List_Oreplicate(X2,X5,X4))).
% 0.54/0.74 cnf(i_0_1088, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 0.54/0.74 cnf(i_0_811, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_794, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_1245, plain, (c_List_Olistsum(c_List_Orev(X1,X2),X2)=c_List_Olistsum(X1,X2)|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.54/0.74 cnf(i_0_946, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.54/0.74 cnf(i_0_1051, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X4,X2,X3),X3))).
% 0.54/0.74 cnf(i_0_1050, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.54/0.74 cnf(i_0_888, plain, (X1=X2|~c_in(X1,c_List_Oset(c_List_Oreplicate(X3,X2,X4),X4),X4))).
% 0.54/0.74 cnf(i_0_743, plain, (c_lessequals(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_781, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_941, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.54/0.74 cnf(i_0_1296, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Power_Opower(X2))).
% 0.54/0.74 cnf(i_0_756, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_757, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_952, 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))).
% 0.54/0.74 cnf(i_0_1334, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1333, plain, (X1=X2|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_866, 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))).
% 0.54/0.74 cnf(i_0_944, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 0.54/0.74 cnf(i_0_840, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.54/0.74 cnf(i_0_770, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.54/0.74 cnf(i_0_762, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_990, plain, (c_List_Ohd(X1,X2)=c_List_Onth(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)|X1=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_812, 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))).
% 0.54/0.74 cnf(i_0_1089, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.54/0.74 cnf(i_0_1284, plain, (c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)|~c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_772, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))).
% 0.54/0.74 cnf(i_0_929, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_942, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.54/0.74 cnf(i_0_1328, plain, (c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)|~class_Orderings_Olinorder(X2))).
% 0.54/0.74 cnf(i_0_1095, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.54/0.74 cnf(i_0_893, plain, (c_List_Otake(X1,X2,X3)=X2|~c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat))).
% 0.54/0.74 cnf(i_0_913, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.54/0.74 cnf(i_0_940, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.54/0.74 cnf(i_0_922, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_831, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1098, 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))).
% 0.54/0.74 cnf(i_0_1097, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.54/0.74 cnf(i_0_1093, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.54/0.74 cnf(i_0_876, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Power_Opower(X2))).
% 0.54/0.74 cnf(i_0_994, plain, (c_List_Odrop(X1,X2,X3)=c_List_Olist_ONil(X3)|~c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat))).
% 0.54/0.74 cnf(i_0_884, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,c_List_Oset(c_List_OtakeWhile(X1,X3,X4),X4),X4))).
% 0.54/0.74 cnf(i_0_936, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_1092, 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))).
% 0.54/0.74 cnf(i_0_1096, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.54/0.74 cnf(i_0_877, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.54/0.74 cnf(i_0_898, plain, (c_List_Ohd(c_List_Oreplicate(X1,X2,X3),X3)=X2|X1=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_830, plain, (c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_818, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_1016, plain, (c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3)=X2|X1=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_1091, 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))).
% 0.54/0.74 cnf(i_0_1250, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X3)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.54/0.74 cnf(i_0_1243, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2))).
% 0.54/0.74 cnf(i_0_769, 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))).
% 0.54/0.74 cnf(i_0_798, plain, (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.54/0.74 cnf(i_0_827, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_858, 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))).
% 0.54/0.74 cnf(i_0_1120, plain, (X1=c_List_Olist_ONil(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat))).
% 0.54/0.74 cnf(i_0_1083, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)))).
% 0.54/0.74 cnf(i_0_926, plain, (X1=c_Suc(X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_Suc(X2),tc_nat))).
% 0.54/0.74 cnf(i_0_1094, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Int_Onumber__ring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 0.54/0.74 cnf(i_0_1240, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 0.54/0.74 cnf(i_0_787, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 0.54/0.74 cnf(i_0_1090, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.54/0.74 cnf(i_0_1321, plain, (X1=c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)|c_List_Orev(X1,X3)!=c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3))).
% 0.54/0.74 cnf(i_0_1295, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.54/0.74 cnf(i_0_803, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.54/0.74 cnf(i_0_925, 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))).
% 0.54/0.74 cnf(i_0_817, 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))).
% 0.54/0.74 cnf(i_0_870, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.54/0.74 cnf(i_0_1185, plain, (c_List_Olinorder__class_Osorted(c_List_Otake(X1,X2,X3),X3)|~c_List_Olinorder__class_Osorted(X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.54/0.74 cnf(i_0_1048, plain, (c_List_Olinorder__class_Osorted(c_List_Odrop(X1,X2,X3),X3)|~c_List_Olinorder__class_Osorted(X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.54/0.74 cnf(i_0_1019, plain, (c_List_Olinorder__class_Osorted(c_List_OtakeWhile(X1,X2,X3),X3)|~c_List_Olinorder__class_Osorted(X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.54/0.74 cnf(i_0_838, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.54/0.74 cnf(i_0_867, 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))).
% 0.54/0.74 cnf(i_0_1294, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Power_Opower(X1))).
% 0.54/0.74 cnf(i_0_761, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.54/0.74 cnf(i_0_894, plain, (c_lessequals(X1,X2,X3)|~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.54/0.74 cnf(i_0_1260, plain, (c_List_Onth(X1,X2,X3)=X4|c_List_Odrop(X2,X1,X3)!=c_List_Olist_OCons(X4,X5,X3))).
% 0.54/0.74 cnf(i_0_731, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.54/0.74 cnf(i_0_1172, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)))).
% 0.54/0.74 cnf(i_0_1171, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X3)))).
% 0.54/0.74 cnf(i_0_1288, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X1),X2)),hAPP(hAPP(c_Lambda_Olift,X3),X2)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)))).
% 0.54/0.74 cnf(i_0_1106, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_List_Oreplicate(X1,X2,X4)!=c_List_Oreplicate(X5,X3,X4))).
% 0.54/0.74 cnf(i_0_1230, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_902, plain, (c_in(X1,c_List_Oset(X2,X3),X3)|~c_in(X1,c_List_Oset(c_List_Obutlast(X2,X3),X3),X3))).
% 0.54/0.74 cnf(i_0_1087, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Power_Opower(X2))).
% 0.54/0.74 cnf(i_0_1079, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)|~c_in(X3,c_List_Oset(X1,X2),X2))).
% 0.54/0.74 cnf(i_0_1325, plain, (c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olast(X2,X3)|X2=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_920, 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))).
% 0.54/0.74 cnf(i_0_1335, plain, (hBOOL(hAPP(hAPP(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)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)))).
% 0.54/0.74 cnf(i_0_1198, 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))).
% 0.54/0.74 cnf(i_0_900, plain, (c_List_Olist__update(X1,X2,X3,X4)=X1|~c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X2,tc_nat))).
% 0.54/0.74 cnf(i_0_905, plain, (c_in(X1,c_List_Oset(X2,X3),X3)|~c_in(X1,c_List_Oset(c_List_Osublist(X2,X4,X3),X3),X3))).
% 0.54/0.74 cnf(i_0_880, plain, (c_in(X1,c_List_Oset(X2,X3),X3)|~c_in(X1,c_List_Oset(c_List_Otake(X4,X2,X3),X3),X3))).
% 0.54/0.74 cnf(i_0_881, plain, (c_in(X1,c_List_Oset(X2,X3),X3)|~c_in(X1,c_List_Oset(c_List_Odrop(X4,X2,X3),X3),X3))).
% 0.54/0.74 cnf(i_0_1337, plain, (hBOOL(hAPP(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)))|~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X2)))).
% 0.54/0.74 cnf(i_0_992, plain, (hBOOL(hAPP(hAPP(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,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)))|~c_ListOrder_Ostep1(c_Lambda_Obeta,X2,X3,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1242, 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))).
% 0.54/0.74 cnf(i_0_1197, 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))).
% 0.54/0.74 cnf(i_0_885, plain, (c_in(X1,c_List_Oset(X2,X3),X3)|~c_in(X1,c_List_Oset(c_List_OtakeWhile(X4,X2,X3),X3),X3))).
% 0.54/0.74 cnf(i_0_914, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)!=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_993, plain, (c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)|c_List_Odrop(X3,X1,X2)!=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1223, plain, (c_List_Olast(c_List_Oappend(X1,X2,X3),X3)=c_List_Olast(X2,X3)|X2=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_778, plain, (c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))=c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1021, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_OrderedGroup_Ocancel__semigroup__add(X3))).
% 0.54/0.74 cnf(i_0_1022, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X3))).
% 0.54/0.74 cnf(i_0_1020, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)|~class_OrderedGroup_Ocancel__semigroup__add(X3))).
% 0.54/0.74 cnf(i_0_878, plain, (c_List_Ohd(c_List_Oappend(X1,X2,X3),X3)=c_List_Ohd(X1,X3)|X1=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_965, plain, (X1=X2|X3=X4|~c_ListOrder_Ostep1(X5,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X1,X3,X6),X6))).
% 0.54/0.74 cnf(i_0_832, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.54/0.74 cnf(i_0_752, 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))).
% 0.54/0.74 cnf(i_0_1046, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.54/0.74 cnf(i_0_1292, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB)=X3|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))).
% 0.54/0.74 cnf(i_0_1322, plain, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_ONil(X4)|hBOOL(hAPP(X1,X2)))).
% 0.54/0.74 cnf(i_0_842, 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))).
% 0.54/0.74 cnf(i_0_931, plain, (X1=c_List_Olist_ONil(X2)|c_in(c_List_Ohd(X1,X2),c_List_Oset(X1,X2),X2))).
% 0.54/0.74 cnf(i_0_727, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.54/0.74 cnf(i_0_726, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.54/0.74 cnf(i_0_1045, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.54/0.74 cnf(i_0_735, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.54/0.74 cnf(i_0_1003, plain, (X1=c_List_Olist_ONil(X2)|c_in(c_List_Olast(X1,X2),c_List_Oset(X1,X2),X2))).
% 0.54/0.74 cnf(i_0_1291, plain, (c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X3,X2)=c_List_Olist_ONil(X2)|c_in(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.54/0.74 cnf(i_0_1049, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X3)=c_Lambda_OdB_OVar(X1)|X1=X3|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_915, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_Nat_Osemiring__1__class_Oof__nat(X2,X1))=c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X2),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.54/0.74 cnf(i_0_734, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.54/0.74 cnf(i_0_733, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.54/0.74 cnf(i_0_736, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.54/0.74 cnf(i_0_887, plain, (hBOOL(hAPP(X1,X2))|~c_List_Olistsp(X1,X3,X4)|~c_in(X2,c_List_Oset(X3,X4),X4))).
% 0.54/0.74 cnf(i_0_809, 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))).
% 0.54/0.74 cnf(i_0_808, 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))).
% 0.54/0.74 cnf(i_0_1107, plain, (c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,tc_nat),X3)=X1|c_Int_Onumber__class_Onumber__of(X4,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_1229, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.54/0.74 cnf(i_0_1262, plain, (c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2)))).
% 0.54/0.74 cnf(i_0_1082, plain, (c_List_Onth(X1,X2,X3)=X4|c_List_Olist__update(X1,X2,X4,X3)!=X1|~c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_871, plain, (X1=X2|c_Power_Opower__class_Opower(X3,X1,X4)!=c_Power_Opower__class_Opower(X3,X2,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X3,X4))).
% 0.54/0.74 cnf(i_0_1290, plain, (c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_ONil(X4)|c_Int_Onumber__class_Onumber__of(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_1203, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.54/0.74 cnf(i_0_1204, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.54/0.74 cnf(i_0_850, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.54/0.74 cnf(i_0_815, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))).
% 0.54/0.74 cnf(i_0_813, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 0.54/0.74 cnf(i_0_1216, plain, (c_List_Onth(c_List_Oreplicate(X1,X2,X3),X4,X3)=X2|~c_HOL_Oord__class_Oless(X4,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1085, 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))).
% 0.54/0.74 cnf(i_0_844, 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))).
% 0.54/0.74 cnf(i_0_1316, plain, (c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_ONil(X3),X3,X4)=c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)|~class_Orderings_Olinorder(X4))).
% 0.54/0.74 cnf(i_0_854, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Oone__class_Oone(X2)),X2)|~class_Ring__and__Field_Oordered__semidom(X2))).
% 0.54/0.74 cnf(i_0_886, plain, (hBOOL(hAPP(X1,X2))|c_List_OtakeWhile(X1,X3,X4)!=X3|~c_in(X2,c_List_Oset(X3,X4),X4))).
% 0.54/0.74 cnf(i_0_1023, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.54/0.74 cnf(i_0_768, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.54/0.74 cnf(i_0_1246, plain, (c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)|~c_List_Olistsp(X1,X3,X4)|~c_List_Olistsp(X1,X2,X4))).
% 0.54/0.74 cnf(i_0_932, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.54/0.74 cnf(i_0_789, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.54/0.74 cnf(i_0_1059, plain, (c_ListOrder_Ostep1(c_Lambda_Obeta,X1,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X2,X1,X3),tc_Lambda_OdB)|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X3)))).
% 0.54/0.74 cnf(i_0_1289, plain, (c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X3,X2)=c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)|~c_in(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.54/0.74 cnf(i_0_1313, plain, (X1=X2|c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4)!=c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4))).
% 0.54/0.74 cnf(i_0_1314, plain, (X1=X2|c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4)!=c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4))).
% 0.54/0.74 cnf(i_0_1239, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.54/0.74 cnf(i_0_788, plain, (c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_lessequals(X1,X3,tc_nat))).
% 0.54/0.74 cnf(i_0_1342, 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))).
% 0.54/0.74 cnf(i_0_966, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X2),X1))|~c_ListOrder_Ostep1(X3,c_List_Olist_OCons(X2,X4,X5),c_List_Olist_OCons(X1,X6,X5),X5))).
% 0.54/0.74 cnf(i_0_1228, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.54/0.74 cnf(i_0_1008, plain, (c_List_Olength__unique(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olength__unique(X2,X3)|~c_in(X1,c_List_Oset(X2,X3),X3))).
% 0.54/0.74 cnf(i_0_982, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X4,X3))).
% 0.54/0.74 cnf(i_0_933, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X4,X3))).
% 0.54/0.74 cnf(i_0_1317, plain, (c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3)|X2=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_741, 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))).
% 0.54/0.74 cnf(i_0_911, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_977, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3))).
% 0.54/0.74 cnf(i_0_857, plain, (X1=X2|c_in(X1,c_List_Oset(X3,X4),X4)|~c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4))).
% 0.54/0.74 cnf(i_0_839, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_1208, 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))).
% 0.54/0.74 cnf(i_0_869, 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))).
% 0.54/0.74 cnf(i_0_1347, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X3,X1,X4),tc_Lambda_OdB,tc_Lambda_OdB)=X2|X4=c_List_Olist_ONil(tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1164, plain, (c_List_Olistsum(X1,X2)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X2),c_HOL_Ozero__class_Ozero(X2),X1,X2,X2)|~class_OrderedGroup_Omonoid__add(X2))).
% 0.54/0.74 cnf(i_0_760, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X1,X2,X3))).
% 0.54/0.74 cnf(i_0_784, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.54/0.74 cnf(i_0_1209, plain, (c_List_Olast(c_List_Odrop(X1,X2,X3),X3)=c_List_Olast(X2,X3)|~c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_963, plain, (X1=X2|c_ListOrder_Ostep1(X3,X1,X2,X4)|~c_ListOrder_Ostep1(X3,c_List_Olist_OCons(X5,X1,X4),c_List_Olist_OCons(X6,X2,X4),X4))).
% 0.54/0.74 cnf(i_0_919, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.54/0.74 cnf(i_0_777, 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))).
% 0.54/0.74 cnf(i_0_1108, plain, (c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,X3,X4)|c_Int_Onumber__class_Onumber__of(X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.74 cnf(i_0_976, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Oone__class_Oone(X1)),c_HOL_Oone__class_Oone(X1)),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.54/0.74 cnf(i_0_1226, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Olistsum(X3,X1))=c_List_Olistsum(c_List_Olist_OCons(X2,X3,X1),X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.54/0.74 cnf(i_0_834, plain, (c_lessequals(X1,X2,X3)|~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X4,X3),X3)|~class_Orderings_Olinorder(X3)|~c_in(X2,c_List_Oset(X4,X3),X3))).
% 0.54/0.74 cnf(i_0_1259, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3))).
% 0.54/0.74 cnf(i_0_1256, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3))).
% 0.54/0.74 cnf(i_0_748, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3))).
% 0.54/0.74 cnf(i_0_1086, 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))).
% 0.54/0.74 cnf(i_0_843, 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))).
% 0.54/0.74 cnf(i_0_1202, 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))).
% 0.54/0.74 cnf(i_0_1269, plain, (c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3)=c_List_Oappend(X1,c_List_Obutlast(X2,X3),X3)|X2=c_List_Olist_ONil(X3))).
% 0.54/0.74 cnf(i_0_750, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3))).
% 0.54/0.74 cnf(i_0_1211, plain, (c_List_Otake(X1,c_List_Obutlast(X2,X3),X3)=c_List_Otake(X1,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1044, plain, (c_List_Onth(c_List_Otake(X1,X2,X3),X4,X3)=c_List_Onth(X2,X4,X3)|~c_HOL_Oord__class_Oless(X4,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1188, plain, (~hBOOL(hAPP(X1,c_List_Onth(X2,c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),X3)))|~c_HOL_Oord__class_Oless(c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1205, 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))).
% 0.54/0.74 cnf(i_0_849, 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))).
% 0.54/0.74 cnf(i_0_964, plain, (c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)|~hBOOL(hAPP(hAPP(X1,X2),X5)))).
% 0.54/0.74 cnf(i_0_1212, plain, (c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))=c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2))|c_List_Omap(X4,X1,X2,X5)!=c_List_Omap(X4,X3,X2,X5))).
% 0.54/0.74 cnf(i_0_745, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X4),X3),c_Power_Opower__class_Opower(X2,c_Suc(X4),X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.54/0.74 cnf(i_0_1340, plain, (c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X1,X2,X3,X4),c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)=X4|X4=c_List_Olist_ONil(tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.54/0.74 cnf(i_0_1119, plain, (c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4)=c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)|~hBOOL(hAPP(X1,X2)))).
% 0.54/0.74 cnf(i_0_1033, plain, (c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X5,X4)=c_List_Onth(X1,X5,X4)|X2=X5)).
% 0.54/0.74 cnf(i_0_755, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.54/0.74 cnf(i_0_1076, plain, (c_in(c_List_Onth(X1,X2,X3),c_List_Oset(X1,X3),X3)|~c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1206, plain, (c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X2,X4)=X3|~c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),tc_nat))).
% 0.54/0.74 cnf(i_0_1053, plain, (hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X2),X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X4)))).
% 0.54/0.74 cnf(i_0_961, plain, (c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)|~c_ListOrder_Ostep1(X1,X3,X5,X4))).
% 0.54/0.74 cnf(i_0_836, plain, (c_List_Olength__unique(c_List_Olist_OCons(X1,X2,X3),X3)=c_Suc(c_List_Olength__unique(X2,X3))|c_in(X1,c_List_Oset(X2,X3),X3))).
% 0.54/0.74 cnf(i_0_1026, plain, (c_List_Onth(c_List_OtakeWhile(X1,X2,X3),X4,X3)=c_List_Onth(X2,X4,X3)|~c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(c_List_OtakeWhile(X1,X2,X3),tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1011, plain, (c_List_Olinorder__class_Osorted(c_List_Omap(X1,X2,X3,X4),X4)|~c_List_Olinorder__class_Osorted(c_List_Omap(X1,c_List_Olinorder__class_Oinsort__key(X1,X5,X2,X3,X4),X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.54/0.74 cnf(i_0_1196, plain, (c_List_Onth(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Onth(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1077, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.54/0.74 cnf(i_0_847, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.54/0.74 cnf(i_0_848, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.54/0.74 cnf(i_0_1192, plain, (c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2)=X1|X1=c_List_Olist_ONil(X2))).
% 0.54/0.74 cnf(i_0_1074, plain, (c_in(X1,c_List_Oset(c_List_Olist__update(X2,X3,X1,X4),X4),X4)|~c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat))).
% 0.54/0.74 cnf(i_0_930, plain, (X1=X2|c_Power_Opower__class_Opower(X1,c_Suc(X3),X4)!=c_Power_Opower__class_Opower(X2,c_Suc(X3),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4))).
% 0.54/0.74 cnf(i_0_791, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)|~c_ListOrder_Ostep1(X1,X2,X5,X4))).
% 0.54/0.74 cnf(i_0_790, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X2,X5,X4),X4)|~c_ListOrder_Ostep1(X1,X3,X5,X4))).
% 0.54/0.74 cnf(i_0_962, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|c_ListOrder_Ostep1(X1,X4,X5,X6)|~c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6))).
% 0.54/0.74 cnf(i_0_917, 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))).
% 0.54/0.74 cnf(i_0_895, plain, (c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)|~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X2,X4))).
% 0.54/0.74 cnf(i_0_1270, 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))).
% 0.54/0.74 cnf(i_0_909, plain, (c_Nat_Osize__class_Osize(c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),tc_List_Olist(X4))=c_Suc(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)))|~class_Orderings_Olinorder(X5))).
% 0.54/0.74 cnf(i_0_986, plain, (X1=X2|X3=X4|~c_ListOrder_Ostep1(X5,c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X6),X6),X6),c_List_Oappend(X2,c_List_Olist_OCons(X4,c_List_Olist_ONil(X6),X6),X6),X6))).
% 0.54/0.74 cnf(i_0_1249, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X1,X4,X2))).
% 0.54/0.74 cnf(i_0_833, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X3),c_HOL_Oone__class_Oone(X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.54/0.74 cnf(i_0_1225, 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))).
% 0.54/0.74 cnf(i_0_974, 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_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.54/0.74 cnf(i_0_975, 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_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.54/0.74 cnf(i_0_841, 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))).
% 0.54/0.74 cnf(i_0_1125, plain, (X1=c_List_Orev(c_List_Olist_OCons(X2,X3,X4),X4)|c_List_Orev(X1,X4)!=c_List_Olist_OCons(X2,X3,X4))).
% 0.54/0.74 cnf(i_0_1004, plain, (c_HOL_Oord__class_Oless(X1,c_List_Olist_Olist__size(X2,X3,X4),tc_nat)|~c_in(X5,c_List_Oset(X3,X4),X4)|~c_HOL_Oord__class_Oless(X1,hAPP(X2,X5),tc_nat))).
% 0.54/0.74 cnf(i_0_793, plain, (c_lessequals(X1,c_List_Olist_Olist__size(X2,X3,X4),tc_nat)|~c_in(X5,c_List_Oset(X3,X4),X4)|~c_lessequals(X1,hAPP(X2,X5),tc_nat))).
% 0.54/0.74 cnf(i_0_1062, plain, (c_List_Ohd(c_List_Odrop(X1,X2,X3),X3)=c_List_Onth(X2,X1,X3)|X2=c_List_Olist_ONil(X3)|~c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_739, plain, (c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Oring__1(X2)|~c_lessequals(X3,X1,tc_nat))).
% 0.54/0.74 cnf(i_0_1025, 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))).
% 0.54/0.74 cnf(i_0_971, 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_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.54/0.74 cnf(i_0_970, 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_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.54/0.74 cnf(i_0_851, 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))).
% 0.54/0.74 cnf(i_0_1040, 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))).
% 0.54/0.74 cnf(i_0_1217, plain, (c_List_OtakeWhile(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5)=c_List_OtakeWhile(X1,X2,X5)|hBOOL(hAPP(X1,X3)))).
% 0.54/0.74 cnf(i_0_1078, plain, (X1=X2|c_Power_Opower__class_Opower(X1,X3,X4)!=c_Power_Opower__class_Opower(X2,X3,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.54/0.74 cnf(i_0_973, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X1,X4,X2))).
% 0.54/0.74 cnf(i_0_972, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~c_lessequals(X1,X4,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.54/0.74 cnf(i_0_845, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(X1,X4,X2))).
% 0.54/0.74 cnf(i_0_1034, plain, (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),X5),X3))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.54/0.74 cnf(i_0_846, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X4,X2)|~c_lessequals(X1,X3,X2))).
% 0.54/0.74 cnf(i_0_1255, 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))).
% 0.54/0.74 cnf(i_0_1036, 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))).
% 0.54/0.74 cnf(i_0_1213, plain, (c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2)=X3|c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)!=X1)).
% 0.54/0.74 cnf(i_0_983, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat))).
% 0.54/0.74 cnf(i_0_935, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X1,X3))).
% 0.54/0.74 cnf(i_0_1254, 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))).
% 0.54/0.74 cnf(i_0_1258, 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))).
% 0.54/0.74 cnf(i_0_1257, 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))).
% 0.54/0.74 cnf(i_0_747, 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))).
% 0.54/0.74 cnf(i_0_1042, 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))).
% 0.54/0.74 cnf(i_0_807, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Oone__class_Oone(X3),X1,X3)|~c_lessequals(X2,X4,tc_nat))).
% 0.54/0.74 cnf(i_0_868, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X1,X4,X3))).
% 0.54/0.74 cnf(i_0_835, plain, (c_lessequals(X1,X2,X3)|~c_List_Olinorder__class_Osorted(c_List_Oappend(X4,X5,X3),X3)|~class_Orderings_Olinorder(X3)|~c_in(X2,c_List_Oset(X5,X3),X3)|~c_in(X1,c_List_Oset(X4,X3),X3))).
% 0.54/0.74 cnf(i_0_1001, plain, (c_in(X1,c_List_Oset(c_List_Obutlast(c_List_Oappend(X2,X3,X4),X4),X4),X4)|~c_in(X1,c_List_Oset(c_List_Obutlast(X3,X4),X4),X4))).
% 0.54/0.74 cnf(i_0_751, 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))).
% 0.54/0.74 cnf(i_0_746, 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))).
% 0.54/0.74 cnf(i_0_749, 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))).
% 0.54/0.74 cnf(i_0_1038, 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))).
% 0.54/0.74 cnf(i_0_991, plain, (c_List_OtakeWhile(X1,c_List_Oappend(X2,X3,X4),X4)=c_List_OtakeWhile(X1,X2,X4)|hBOOL(hAPP(X1,X5))|~c_in(X5,c_List_Oset(X2,X4),X4))).
% 0.54/0.74 cnf(i_0_1002, plain, (c_in(X1,c_List_Oset(c_List_Obutlast(c_List_Oappend(X2,X3,X4),X4),X4),X4)|~c_in(X1,c_List_Oset(c_List_Obutlast(X2,X4),X4),X4))).
% 0.54/0.74 cnf(i_0_1238, plain, (c_List_Onth(c_List_Omap(X1,X2,X3,X4),X5,X4)=hAPP(X1,c_List_Onth(X2,X5,X3))|~c_HOL_Oord__class_Oless(X5,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_989, plain, (X1=X2|c_ListOrder_Ostep1(X3,X1,X2,X4)|~c_ListOrder_Ostep1(X3,c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X2,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4))).
% 0.54/0.74 cnf(i_0_1041, 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))).
% 0.54/0.74 cnf(i_0_1039, 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))).
% 0.54/0.74 cnf(i_0_995, plain, (c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)=X1|c_lessequals(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)|c_List_Oappend(X3,X4,X2)!=c_List_Oappend(X1,X5,X2))).
% 0.54/0.74 cnf(i_0_997, plain, (c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)=X1|c_List_Oappend(X1,X4,X2)!=c_List_Oappend(X3,X5,X2)|~c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat))).
% 0.54/0.74 cnf(i_0_872, plain, (hAPP(X1,X2)=hAPP(X3,X2)|c_List_Omap(X1,X4,X5,X6)!=c_List_Omap(X3,X4,X5,X6)|~c_in(X2,c_List_Oset(X4,X5),X5))).
% 0.54/0.74 cnf(i_0_1214, plain, (c_List_Olist__update(c_List_Oappend(X1,X2,X3),X4,X5,X3)=c_List_Oappend(c_List_Olist__update(X1,X4,X5,X3),X2,X3)|~c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_987, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_ListOrder_Ostep1(X3,c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X6,c_List_Olist_OCons(X2,c_List_Olist_ONil(X5),X5),X5),X5))).
% 0.54/0.74 cnf(i_0_1329, 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))).
% 0.54/0.74 cnf(i_0_1005, plain, (c_List_OtakeWhile(X1,X2,X3)=c_List_Otake(X4,X2,X3)|hBOOL(hAPP(X1,c_List_Onth(X2,X4,X3)))|~hBOOL(hAPP(X1,c_List_Onth(X2,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X1,X4,X2,X3),X3))))).
% 0.54/0.74 cnf(i_0_1237, 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))).
% 0.54/0.74 cnf(i_0_1010, plain, (c_List_Olinorder__class_Osorted(c_List_Omap(X1,c_List_Olinorder__class_Oinsort__key(X1,X2,X3,X4,X5),X4,X5),X5)|~c_List_Olinorder__class_Osorted(c_List_Omap(X1,X3,X4,X5),X5)|~class_Orderings_Olinorder(X5))).
% 0.54/0.74 cnf(i_0_890, plain, (c_lessequals(c_List_Onth(X1,X2,X3),c_List_Onth(X1,X4,X3),X3)|~c_List_Olinorder__class_Osorted(X1,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1064, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.54/0.74 cnf(i_0_853, 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_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(X3,X5,X1))).
% 0.54/0.74 cnf(i_0_852, 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_lessequals(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.54/0.74 cnf(i_0_792, 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))).
% 0.54/0.74 cnf(i_0_889, plain, (c_List_Onth(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Suc(X3),tc_nat),X2)=c_List_Onth(c_List_Orev(X1,X2),X3,X2)|~c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat))).
% 0.54/0.74 cnf(i_0_1080, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X4,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_779, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,tc_nat))).
% 0.54/0.74 cnf(i_0_1063, plain, (c_List_Olist_OCons(c_List_Onth(X1,X2,X3),c_List_Odrop(c_Suc(X2),X1,X3),X3)=c_List_Odrop(X2,X1,X3)|~c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1060, plain, (c_List_OtakeWhile(X1,X2,X3)=c_List_Otake(X4,X2,X3)|c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)|~hBOOL(hAPP(X1,c_List_Onth(X2,c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X1,X4,X2,X3),X3))))).
% 0.54/0.74 cnf(i_0_1067, plain, (c_List_OtakeWhile(X1,X2,X3)=c_List_Otake(X4,X2,X3)|hBOOL(hAPP(X1,c_List_Onth(X2,X4,X3)))|c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X1,X4,X2,X3),X4,tc_nat))).
% 0.54/0.74 cnf(i_0_988, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|c_ListOrder_Ostep1(X1,X4,X5,X6)|~c_ListOrder_Ostep1(X1,c_List_Oappend(X4,c_List_Olist_OCons(X2,c_List_Olist_ONil(X6),X6),X6),c_List_Oappend(X5,c_List_Olist_OCons(X3,c_List_Olist_ONil(X6),X6),X6),X6))).
% 0.54/0.74 cnf(i_0_1037, 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))).
% 0.54/0.74 cnf(i_0_725, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X5),X2)|~c_lessequals(X5,X4,X2))).
% 0.54/0.74 cnf(i_0_1071, plain, (c_List_OtakeWhile(X1,X2,X3)=c_List_Otake(X4,X2,X3)|c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X1,X4,X2,X3),X4,tc_nat)|c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1073, plain, (c_List_Onth(X1,c_HOL_Ominus__class_Ominus(X2,c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat),X4)=c_List_Onth(c_List_Oappend(X3,X1,X4),X2,X4)|c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat))).
% 0.54/0.74 cnf(i_0_969, plain, (c_lessequals(c_List_Onth(X1,X2,X3),c_List_Onth(X1,X4,X3),X3)|~c_List_Olinorder__class_Osorted(c_List_Orev(X1,X3),X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X4,X2,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_907, plain, (c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X4,X5),X5,X6)=c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X5),X5)|~class_Orderings_Olinorder(X6)|~c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X6))).
% 0.54/0.74 cnf(i_0_998, plain, (X1=c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X4,X3),X5,X3)|c_List_Oappend(X2,X1,X3)!=c_List_Oappend(X4,X5,X3)|~c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1057, plain, (c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Olist_OCons(c_List_Onth(X2,X1,X3),c_List_Olist_ONil(X3),X3),X3)=c_List_Otake(c_Suc(X1),X2,X3)|~c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1265, plain, (c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X5,X6,X4)=c_List_Olist__update(c_List_Olist__update(X1,X5,X6,X4),X2,X3,X4)|X2=X5)).
% 0.54/0.74 cnf(i_0_1173, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,c_List_Olist_OCons(X3,X4,X1),X1,X1)|~class_OrderedGroup_Osemigroup__add(X1))).
% 0.54/0.74 cnf(i_0_1061, plain, (c_List_OtakeWhile(X1,X2,X3)=c_List_Otake(X4,X2,X3)|hBOOL(hAPP(X1,c_List_Onth(X2,X4,X3)))|c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X1,X4,X2,X3),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1055, plain, (c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Olist_OCons(X4,c_List_Odrop(c_Suc(X1),X2,X3),X3),X3)=c_List_Olist__update(X2,X1,X4,X3)|~c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1056, plain, (c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Olist_OCons(c_List_Onth(X2,X1,X3),c_List_Odrop(c_Suc(X1),X2,X3),X3),X3)=X2|~c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1070, plain, (c_List_OtakeWhile(X1,X2,X3)=c_List_Otake(X4,X2,X3)|c_HOL_Oord__class_Oless(c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1(X1,X4,X2,X3),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)|c_HOL_Oord__class_Oless(X4,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_1009, plain, (c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(X1,X2,X3),X3),c_List_Olist_ONil(X3),X3),X3)=c_List_Otake(c_Suc(X1),X2,X3)|~c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat))).
% 0.54/0.74 cnf(i_0_908, plain, (c_List_Olinorder__class_Oinsort__key(X1,X2,c_List_Olist_OCons(X3,X4,X5),X5,X6)=c_List_Olist_OCons(X3,c_List_Olinorder__class_Oinsort__key(X1,X2,X4,X5,X6),X5)|c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X6)|~class_Orderings_Olinorder(X6))).
% 0.54/0.74 cnf(i_0_1015, 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))).
% 0.54/0.74 cnf(i_0_999, plain, (c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2)=X5|c_lessequals(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)|c_List_Oappend(X3,X4,X2)!=c_List_Oappend(X1,X5,X2))).
% 0.54/0.74 cnf(i_0_1072, plain, (c_List_Oappend(X1,c_List_Olist__update(X2,c_HOL_Ominus__class_Ominus(X3,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),tc_nat),X5,X4),X4)=c_List_Olist__update(c_List_Oappend(X1,X2,X4),X3,X5,X4)|c_HOL_Oord__class_Oless(X3,c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),tc_nat))).
% 0.54/0.74 cnf(i_0_1069, plain, (c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2)=c_List_Oappend(X3,X4,X2)|c_lessequals(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)|c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)!=X1)).
% 0.54/0.74 cnf(i_0_1068, plain, (c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2)=c_List_Oappend(X3,X4,X2)|c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)!=X1|~c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat))).
% 0.54/0.74 cnf(i_0_1261, plain, (c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2)=c_List_Oappend(X3,X4,X2)|c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2)!=X4|c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)!=X1|c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2)!=X3)).
% 0.54/0.74 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.54/0.74 # Begin printing tableau
% 0.54/0.74 # Found 5 steps
% 0.54/0.74 cnf(i_0_1382, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))))), inference(start_rule)).
% 0.54/0.74 cnf(i_0_1447, plain, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))))), inference(extension_rule, [i_0_886])).
% 0.54/0.74 cnf(i_0_2024, plain, (c_List_OtakeWhile(c_InductTermi_OIT,c_List_Olist_ONil(X6),X6)!=c_List_Olist_ONil(X6)), inference(closure_rule, [i_0_1132])).
% 0.54/0.74 cnf(i_0_2025, plain, (~c_in(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Oset(c_List_Olist_ONil(X6),X6),X6)), inference(extension_rule, [i_0_1032])).
% 0.54/0.74 cnf(i_0_4827, plain, (~hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(X6),X6),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))))), inference(etableau_closure_rule, [i_0_4827, ...])).
% 0.54/0.74 # End printing tableau
% 0.54/0.74 # SZS output end
% 0.54/0.74 # Branches closed with saturation will be marked with an "s"
% 0.54/0.74 # Returning from population with 5 new_tableaux and 0 remaining starting tableaux.
% 0.54/0.74 # We now have 5 tableaux to operate on
% 0.54/0.74 # Found closed tableau during pool population.
% 0.54/0.74 # Proof search is over...
% 0.54/0.74 # Freeing feature tree
%------------------------------------------------------------------------------