%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LCL852-1 : 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 : n004.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 10:25:59 EDT 2022

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL852-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul  3 03:09:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  # No SInE strategy applied
% 0.20/0.44  # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.20/0.44  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.44  #
% 0.20/0.44  # Presaturation interreduction done
% 0.20/0.44  # Number of axioms: 606 Number of unprocessed: 473
% 0.20/0.44  # Tableaux proof search.
% 0.20/0.44  # APR header successfully linked.
% 0.20/0.44  # Hello from C++
% 0.20/0.44  # The folding up rule is enabled...
% 0.20/0.44  # Local unification is enabled...
% 0.20/0.44  # Any saturation attempts will use folding labels...
% 0.20/0.44  # 473 beginning clauses after preprocessing and clausification
% 0.20/0.44  # Creating start rules for all 1 conjectures.
% 0.20/0.44  # There are 1 start rule candidates:
% 0.20/0.44  # Found 115 unit axioms.
% 0.20/0.44  # 1 start rule tableaux created.
% 0.20/0.44  # 358 extension rule candidate clauses
% 0.20/0.44  # 115 unit axiom clauses
% 0.20/0.44  
% 0.20/0.44  # Requested 8, 32 cores available to the main process.
% 0.20/0.44  # There are not enough tableaux to fork, creating more from the initial 1
% 0.20/0.44  # Closed tableau found in foldup close cycle with 0 folds and 2 closures done.
% 0.20/0.44  # There were 0 total branch saturation attempts.
% 0.20/0.44  # There were 0 of these attempts blocked.
% 0.20/0.44  # There were 0 deferred branch saturation attempts.
% 0.20/0.44  # There were 0 free duplicated saturations.
% 0.20/0.44  # There were 0 total successful branch saturations.
% 0.20/0.44  # There were 0 successful branch saturations in interreduction.
% 0.20/0.44  # There were 0 successful branch saturations on the branch.
% 0.20/0.44  # There were 0 successful branch saturations after the branch.
% 0.20/0.44  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44  # Begin clausification derivation
% 0.20/0.44  
% 0.20/0.44  # End clausification derivation
% 0.20/0.44  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.44  cnf(i_0_1210, plain, (class_Orderings_Oorder(tc_nat))).
% 0.20/0.44  cnf(i_0_1181, plain, (c_Type_Otyping(v_ea____,v_ta____,v_Ta____))).
% 0.20/0.44  cnf(i_0_1208, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.20/0.44  cnf(i_0_1193, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1192, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1197, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.20/0.44  cnf(i_0_1191, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.20/0.44  cnf(i_0_1200, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1209, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.20/0.44  cnf(i_0_1204, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.20/0.44  cnf(i_0_1212, plain, (class_Power_Opower(tc_nat))).
% 0.20/0.44  cnf(i_0_1211, plain, (class_Orderings_Obot(tc_nat))).
% 0.20/0.44  cnf(i_0_1198, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.20/0.44  cnf(i_0_1202, plain, (class_OrderedGroup_Osemigroup__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1207, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.20/0.44  cnf(i_0_1199, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1206, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1194, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1195, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1161, plain, (c_InductTermi_OIT(v_ta____))).
% 0.20/0.44  cnf(i_0_811, plain, (c_InductTermi_OIT(v_s____))).
% 0.20/0.44  cnf(i_0_1190, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 0.20/0.44  cnf(i_0_1201, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.20/0.44  cnf(i_0_1196, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.20/0.44  cnf(i_0_1205, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.20/0.44  cnf(i_0_1203, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.20/0.44  cnf(i_0_1088, plain, (c_Orderings_Obot__class_Obot(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_1128, plain, (c_InductTermi_OIT(c_Lambda_OdB_OVar(X1)))).
% 0.20/0.44  cnf(i_0_1156, plain, (c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(X1))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_1184, plain, (c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____))).
% 0.20/0.44  cnf(i_0_1169, plain, (c_Type_Otyping(v_ea____,v_s____,hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)))).
% 0.20/0.44  cnf(i_0_1185, plain, (c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)))).
% 0.20/0.44  cnf(i_0_1094, plain, (c_Nat_Osize__class_Osize(X1,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_1036, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1093, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1155, plain, (c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(X1),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_979, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_1091, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_978, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.20/0.44  cnf(i_0_1096, plain, (c_Orderings_Oord__class_Omax(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.20/0.44  cnf(i_0_1097, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.20/0.44  cnf(i_0_1213, plain, (c_fequal(X1,X1,X2))).
% 0.20/0.44  cnf(i_0_970, plain, (c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=X1)).
% 0.20/0.44  cnf(i_0_1099, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 0.20/0.44  cnf(i_0_1100, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)=X1)).
% 0.20/0.44  cnf(i_0_1090, plain, (c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=X1)).
% 0.20/0.44  cnf(i_0_871, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))).
% 0.20/0.44  cnf(i_0_737, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat))).
% 0.20/0.44  cnf(i_0_1124, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1)=X2)).
% 0.20/0.44  cnf(i_0_826, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Olist_ONil(X2))).
% 0.20/0.44  cnf(i_0_1182, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))).
% 0.20/0.44  cnf(i_0_1146, plain, (c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2)=X1)).
% 0.20/0.44  cnf(i_0_679, plain, (c_List_Odrop(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))).
% 0.20/0.44  cnf(i_0_747, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1178, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)).
% 0.20/0.44  cnf(i_0_839, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 0.20/0.44  cnf(i_0_838, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat))).
% 0.20/0.44  cnf(i_0_726, plain, (c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_611, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat))).
% 0.20/0.44  cnf(i_0_933, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X2,tc_nat)=X1)).
% 0.20/0.44  cnf(i_0_934, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)=X2)).
% 0.20/0.44  cnf(i_0_824, plain, (c_Type_Otype_Otype__rec(X1,X2,c_Type_Otype_OAtom(X3),X4)=hAPP(X1,X3))).
% 0.20/0.44  cnf(i_0_936, plain, (c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),X4)=hAPP(X1,X3))).
% 0.20/0.44  cnf(i_0_809, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)).
% 0.20/0.44  cnf(i_0_718, plain, (c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4)=X3)).
% 0.20/0.44  cnf(i_0_813, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1129, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),X5)=hAPP(X1,X4))).
% 0.20/0.44  cnf(i_0_1126, plain, (c_Lambda_OdB_OdB__rec(X1,X2,X3,c_Lambda_OdB_OVar(X4),X5)=hAPP(X1,X4))).
% 0.20/0.44  cnf(i_0_1180, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X2)),c_Lambda_Olift(X3,X2))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2))).
% 0.20/0.44  cnf(i_0_626, plain, (c_Orderings_Oord__class_Omax(c_Suc(X1),c_Suc(X2),tc_nat)=c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)))).
% 0.20/0.44  cnf(i_0_627, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),X5)=hAPP(X3,X4))).
% 0.20/0.44  cnf(i_0_681, plain, (c_Lambda_Olift(c_Lambda_Oliftn(X1,X2,X3),X3)=c_Lambda_Oliftn(c_Suc(X1),X2,X3))).
% 0.20/0.44  cnf(i_0_734, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(X1)),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)))).
% 0.20/0.44  cnf(i_0_642, plain, (c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)))).
% 0.20/0.44  cnf(i_0_841, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))=c_Orderings_Oord__class_Omax(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_836, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.20/0.44  cnf(i_0_910, plain, (c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(X1),tc_Lambda_OdB)=c_Suc(c_Nat_Osize__class_Osize(X1,tc_Lambda_OdB)))).
% 0.20/0.44  cnf(i_0_1139, plain, (c_Type_Otype_Otype__case(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),X5)=hAPP(hAPP(X2,X3),X4))).
% 0.20/0.44  cnf(i_0_727, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat))).
% 0.20/0.44  cnf(i_0_1108, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),X6)=hAPP(hAPP(X2,X4),X5))).
% 0.20/0.44  cnf(i_0_916, plain, (c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4)=c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,X4))).
% 0.20/0.44  cnf(i_0_994, plain, (c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4)=c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,X4))).
% 0.20/0.44  cnf(i_0_907, plain, (c_HOL_Ominus__class_Ominus(c_Suc(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_Suc(X3)),tc_nat)=c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat))).
% 0.20/0.44  cnf(i_0_690, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))).
% 0.20/0.44  cnf(i_0_735, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_736, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1074, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(X1)),c_Suc(c_Lambda_OdB_OdB__size(X2)))=c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)))).
% 0.20/0.44  cnf(i_0_1113, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(X1,X2,X3)),c_Lambda_Oliftn(X1,X4,X3))=c_Lambda_Oliftn(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3))).
% 0.20/0.44  cnf(i_0_1103, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,X3)),c_Lambda_Osubst(X4,X2,X3))=c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4),X2,X3))).
% 0.20/0.44  cnf(i_0_1163, plain, (c_Type_Oshift(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X3),c_Suc(X4),X5,X3)=c_Type_Oshift(c_Type_Oshift(X1,X4,X5,X3),c_HOL_Ozero__class_Ozero(tc_nat),X2,X3))).
% 0.20/0.44  cnf(i_0_739, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(X1,tc_Lambda_OdB)),c_Suc(c_Nat_Osize__class_Osize(X2,tc_Lambda_OdB)))=c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),tc_Lambda_OdB))).
% 0.20/0.44  cnf(i_0_1138, plain, (hAPP(hAPP(hAPP(hAPP(X1,X2),X3),c_Type_Otype_Otype__rec(X4,X1,X2,X5)),c_Type_Otype_Otype__rec(X4,X1,X3,X5))=c_Type_Otype_Otype__rec(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),X5))).
% 0.20/0.44  cnf(i_0_1109, plain, (hAPP(hAPP(hAPP(hAPP(X1,X2),X3),c_Lambda_OdB_OdB__rec(X4,X1,X5,X2,X6)),c_Lambda_OdB_OdB__rec(X4,X1,X5,X3,X6))=c_Lambda_OdB_OdB__rec(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X6))).
% 0.20/0.44  cnf(i_0_646, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_Suc(X1)),tc_nat))).
% 0.20/0.44  cnf(i_0_645, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)),tc_nat))).
% 0.20/0.44  cnf(i_0_1077, plain, (c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(X1))=c_Suc(c_Lambda_OdB_OdB__size(X1)))).
% 0.20/0.44  cnf(i_0_672, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))).
% 0.20/0.44  cnf(i_0_689, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)))).
% 0.20/0.44  cnf(i_0_999, plain, (c_Lambda_OdB_OdB__rec(X1,X2,X3,c_Lambda_OdB_OAbs(X4),X5)=hAPP(hAPP(X3,X4),c_Lambda_OdB_OdB__rec(X1,X2,X3,X4,X5)))).
% 0.20/0.44  cnf(i_0_969, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.20/0.44  cnf(i_0_1021, plain, (c_Suc(X1)!=X1)).
% 0.20/0.44  cnf(i_0_972, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_1186, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____))).
% 0.20/0.44  cnf(i_0_1086, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.20/0.44  cnf(i_0_1125, plain, (~c_Lambda_Obeta(c_Lambda_OdB_OVar(X1),X2))).
% 0.20/0.44  cnf(i_0_829, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1127, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.20/0.44  cnf(i_0_1004, plain, (~c_lessequals(c_Suc(X1),X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1177, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.20/0.44  cnf(i_0_1105, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.20/0.44  cnf(i_0_1142, plain, (c_Type_Otype_OAtom(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X3))).
% 0.20/0.44  cnf(i_0_1016, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1015, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1118, 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))).
% 0.20/0.44  cnf(i_0_1115, 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))).
% 0.20/0.44  cnf(i_0_831, plain, (~c_HOL_Oord__class_Oless(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.20/0.44  cnf(i_0_833, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.20/0.44  cnf(i_0_832, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.20/0.44  cnf(i_0_975, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.20/0.44  cnf(i_0_784, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.20/0.44  cnf(i_0_908, plain, (c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))|~c_InductTermi_OIT(X1))).
% 0.20/0.44  cnf(i_0_1214, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 0.20/0.44  cnf(i_0_1171, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.20/0.44  cnf(i_0_923, plain, (~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_758, plain, (~c_lessequals(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_812, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.20/0.44  cnf(i_0_625, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))).
% 0.20/0.44  cnf(i_0_976, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_977, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_659, plain, (X1=X2|c_Type_Otype_OAtom(X1)!=c_Type_Otype_OAtom(X2))).
% 0.20/0.44  cnf(i_0_911, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.44  cnf(i_0_715, plain, (~c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X2,X1,X3))).
% 0.20/0.44  cnf(i_0_713, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.20/0.44  cnf(i_0_971, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1154, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.20/0.44  cnf(i_0_1188, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.20/0.44  cnf(i_0_980, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)!=X2)).
% 0.20/0.44  cnf(i_0_1187, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.20/0.44  cnf(i_0_1189, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.20/0.44  cnf(i_0_1145, plain, (c_InductTermi_OIT(c_Lambda_Olift(X1,X2))|~c_InductTermi_OIT(X1))).
% 0.20/0.44  cnf(i_0_1039, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.20/0.44  cnf(i_0_1040, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.20/0.44  cnf(i_0_931, plain, (c_Lambda_Obeta(c_Lambda_OdB_OAbs(X1),c_Lambda_OdB_OAbs(X2))|~c_Lambda_Obeta(X1,X2))).
% 0.20/0.44  cnf(i_0_1078, plain, (~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.44  cnf(i_0_1082, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.20/0.44  cnf(i_0_1079, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.20/0.44  cnf(i_0_1179, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))).
% 0.20/0.44  cnf(i_0_637, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_1164, plain, (c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1000, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.20/0.44  cnf(i_0_677, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.20/0.44  cnf(i_0_614, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.20/0.44  cnf(i_0_1049, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_661, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1160, plain, (c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2)))|~c_InductTermi_OIT(X1))).
% 0.20/0.44  cnf(i_0_1176, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2))).
% 0.20/0.44  cnf(i_0_1173, plain, (X1=X2|hAPP(hAPP(c_Type_Otype_OFun,X3),X1)!=hAPP(hAPP(c_Type_Otype_OFun,X4),X2))).
% 0.20/0.44  cnf(i_0_1175, plain, (X1=X2|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))).
% 0.20/0.44  cnf(i_0_856, plain, (c_Orderings_Oord__class_Omax(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.20/0.44  cnf(i_0_1001, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_859, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1172, plain, (X1=X2|hAPP(hAPP(c_Type_Otype_OFun,X1),X3)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X4))).
% 0.20/0.44  cnf(i_0_793, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.20/0.44  cnf(i_0_638, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_951, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.20/0.44  cnf(i_0_958, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.20/0.44  cnf(i_0_959, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.20/0.44  cnf(i_0_1046, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat))).
% 0.20/0.44  cnf(i_0_655, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 0.20/0.44  cnf(i_0_1047, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))).
% 0.20/0.44  cnf(i_0_732, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))).
% 0.20/0.44  cnf(i_0_733, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.20/0.44  cnf(i_0_954, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 0.20/0.44  cnf(i_0_940, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.20/0.44  cnf(i_0_1075, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.20/0.44  cnf(i_0_844, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_685, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omax(X1,X2,X3)!=X2|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_963, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.44  cnf(i_0_634, plain, (X1=X2|c_List_Oreplicate(X1,X3,X4)!=c_List_Oreplicate(X2,X5,X4))).
% 0.20/0.44  cnf(i_0_948, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 0.20/0.44  cnf(i_0_957, 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))).
% 0.20/0.44  cnf(i_0_1153, plain, (c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Power_Opower(X2))).
% 0.20/0.44  cnf(i_0_924, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1159, 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))).
% 0.20/0.44  cnf(i_0_1065, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_966, 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))).
% 0.20/0.44  cnf(i_0_1050, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_615, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1002, plain, (c_lessequals(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_759, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_660, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_974, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.44  cnf(i_0_965, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.20/0.44  cnf(i_0_1012, plain, (c_InductTermi_OIT(c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))|~c_InductTermi_OIT(X1))).
% 0.20/0.44  cnf(i_0_861, plain, (c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.44  cnf(i_0_862, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.20/0.44  cnf(i_0_719, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Type_Osko__Type__Xtype__induct__1__1(X1))))).
% 0.20/0.44  cnf(i_0_865, 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))).
% 0.20/0.44  cnf(i_0_952, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.20/0.44  cnf(i_0_760, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2))).
% 0.20/0.44  cnf(i_0_961, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.44  cnf(i_0_1080, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_848, plain, (X1=X2|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.44  cnf(i_0_761, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))).
% 0.20/0.44  cnf(i_0_666, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_702, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_703, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_960, 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))).
% 0.20/0.44  cnf(i_0_817, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))).
% 0.20/0.44  cnf(i_0_745, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3))).
% 0.20/0.44  cnf(i_0_1048, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_792, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X2=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.20/0.44  cnf(i_0_1051, plain, (c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.44  cnf(i_0_744, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3))).
% 0.20/0.44  cnf(i_0_796, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3))).
% 0.20/0.44  cnf(i_0_797, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3))).
% 0.20/0.44  cnf(i_0_949, 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))).
% 0.20/0.44  cnf(i_0_914, plain, (c_Lambda_Oliftn(X1,c_Lambda_OdB_OVar(X2),X3)=c_Lambda_OdB_OVar(X2)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1009, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_698, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 0.20/0.44  cnf(i_0_964, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.20/0.44  cnf(i_0_730, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.20/0.44  cnf(i_0_684, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X2|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.20/0.44  cnf(i_0_950, 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))).
% 0.20/0.44  cnf(i_0_686, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X1|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.20/0.44  cnf(i_0_939, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1044, 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))).
% 0.20/0.44  cnf(i_0_956, 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))).
% 0.20/0.44  cnf(i_0_1076, plain, (c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_962, 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))).
% 0.20/0.44  cnf(i_0_1063, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.44  cnf(i_0_997, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2))).
% 0.20/0.44  cnf(i_0_1147, plain, (c_Lambda_Obeta(c_Lambda_Olift(X1,X2),c_Lambda_Olift(X3,X2))|~c_Lambda_Obeta(X1,X3))).
% 0.20/0.44  cnf(i_0_823, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1152, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.20/0.44  cnf(i_0_929, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.20/0.44  cnf(i_0_1072, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.20/0.44  cnf(i_0_1168, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X3),X4))|~c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_Type_Otype),X2,X4))).
% 0.20/0.44  cnf(i_0_665, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_641, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.20/0.44  cnf(i_0_870, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 0.20/0.44  cnf(i_0_630, plain, (c_lessequals(X1,X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3))).
% 0.20/0.44  cnf(i_0_955, 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))).
% 0.20/0.44  cnf(i_0_921, plain, (X1=c_Suc(X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_Suc(X2),tc_nat))).
% 0.20/0.44  cnf(i_0_664, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_700, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1151, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Omult__zero(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Power_Opower(X1))).
% 0.20/0.44  cnf(i_0_1134, plain, (c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(X1,X4,X3)|~c_Lambda_Obeta(X4,X2))).
% 0.20/0.44  cnf(i_0_712, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_701, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1092, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1))))).
% 0.20/0.44  cnf(i_0_845, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_654, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_653, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_867, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.20/0.44  cnf(i_0_1112, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2))|~c_Lambda_Obeta(X1,X3))).
% 0.20/0.44  cnf(i_0_1111, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3))|~c_Lambda_Obeta(X2,X3))).
% 0.20/0.44  cnf(i_0_1117, 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))).
% 0.20/0.44  cnf(i_0_1019, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_854, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.20/0.44  cnf(i_0_819, 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))).
% 0.20/0.44  cnf(i_0_1110, 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))).
% 0.20/0.44  cnf(i_0_804, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_918, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=X2|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_671, 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))).
% 0.20/0.44  cnf(i_0_1037, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_947, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Power_Opower(X2))).
% 0.20/0.44  cnf(i_0_1098, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_List_Oreplicate(X1,X2,X4)!=c_List_Oreplicate(X5,X3,X4))).
% 0.20/0.44  cnf(i_0_622, plain, (c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X3)=c_Lambda_OdB_OVar(X1)|X1=X3|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1029, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.20/0.44  cnf(i_0_881, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.20/0.44  cnf(i_0_1059, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1053, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.44  cnf(i_0_670, 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))).
% 0.20/0.44  cnf(i_0_757, plain, (c_Suc(X1)=X2|c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_731, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)!=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_640, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X1))))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.20/0.44  cnf(i_0_658, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Suc(v_sko__List__Xupt__Xinduct__1(X1))))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.20/0.44  cnf(i_0_912, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=c_Orderings_Oord__class_Omax(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_986, plain, (c_Orderings_Oord__class_Omax(X1,X2,tc_nat)=X1|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_669, plain, (c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))=c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_764, 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))).
% 0.20/0.44  cnf(i_0_765, 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))).
% 0.20/0.44  cnf(i_0_766, 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))).
% 0.20/0.44  cnf(i_0_1158, 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))).
% 0.20/0.44  cnf(i_0_716, plain, (hBOOL(hAPP(X1,X2))|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.20/0.44  cnf(i_0_805, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.20/0.44  cnf(i_0_1018, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat))).
% 0.20/0.44  cnf(i_0_1081, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_863, 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))).
% 0.20/0.44  cnf(i_0_1157, 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))).
% 0.20/0.44  cnf(i_0_864, 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))).
% 0.20/0.44  cnf(i_0_873, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1058, plain, (c_Orderings_Oord__class_Omax(X1,X2,tc_nat)=X1|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1170, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_Lambda_Olift(X4,X2),X5)|~c_Type_Otyping(X1,X4,X5))).
% 0.20/0.44  cnf(i_0_632, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1148, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X5)=hAPP(X1,X5)|~c_HOL_Oord__class_Oless(X5,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1102, plain, (hAPP(hAPP(X1,X2),c_HOL_Ozero__class_Ozero(tc_nat))=X3|~c_Groebner__Basis_Ogb__semiring(X4,X5,X1,X6,X3,X7))).
% 0.20/0.44  cnf(i_0_843, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_835, plain, (c_Lambda_Oliftn(X1,c_Lambda_OdB_OVar(X2),X3)=c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))|c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_608, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.44  cnf(i_0_1032, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.44  cnf(i_0_1033, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.44  cnf(i_0_609, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.20/0.44  cnf(i_0_996, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_1085, plain, (hBOOL(hAPP(X1,v_sko__Nat__Xnat__Xinduct__1(X1)))|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.20/0.44  cnf(i_0_935, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.20/0.44  cnf(i_0_1041, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X4,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.20/0.44  cnf(i_0_1042, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.20/0.44  cnf(i_0_1031, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.44  cnf(i_0_1035, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3)|~class_Orderings_Opreorder(X3))).
% 0.20/0.44  cnf(i_0_621, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.20/0.44  cnf(i_0_1089, plain, (hBOOL(hAPP(X1,v_sko__List__Xupt__Xinduct__1(X1)))|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))))).
% 0.20/0.44  cnf(i_0_612, 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)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.20/0.44  cnf(i_0_649, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.20/0.44  cnf(i_0_741, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.20/0.44  cnf(i_0_740, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))).
% 0.20/0.44  cnf(i_0_932, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=c_Orderings_Oord__class_Omax(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_773, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X2,X7))).
% 0.20/0.44  cnf(i_0_893, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X3,X6,X7))).
% 0.20/0.44  cnf(i_0_777, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X2,X6,X7))).
% 0.20/0.44  cnf(i_0_798, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X3,X4))).
% 0.20/0.44  cnf(i_0_799, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X2,X4))).
% 0.20/0.44  cnf(i_0_891, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X3,X7))).
% 0.20/0.44  cnf(i_0_774, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X2,X6,X7))).
% 0.20/0.44  cnf(i_0_842, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.20/0.44  cnf(i_0_723, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1056, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))).
% 0.20/0.44  cnf(i_0_722, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_897, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X3,X6,X7))).
% 0.20/0.44  cnf(i_0_768, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_789, 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))).
% 0.20/0.44  cnf(i_0_790, 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))).
% 0.20/0.44  cnf(i_0_1136, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|c_Type_Osko__Type__Xtype__induct__1__1(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X4),X2))).
% 0.20/0.44  cnf(i_0_628, plain, (c_Lambda_Obeta(c_Lambda_Osubst(X1,X2,X3),c_Lambda_Osubst(X4,X2,X3))|~c_Lambda_Obeta(X1,X4))).
% 0.20/0.44  cnf(i_0_1054, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 0.20/0.44  cnf(i_0_1014, 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))).
% 0.20/0.44  cnf(i_0_944, 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))).
% 0.20/0.44  cnf(i_0_624, 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))).
% 0.20/0.44  cnf(i_0_644, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~c_HOL_Oord__class_Oless(X3,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat))).
% 0.20/0.44  cnf(i_0_1162, plain, (c_Type_Otyping(X1,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2),X3))).
% 0.20/0.44  cnf(i_0_1028, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1137, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|c_Type_Osko__Type__Xtype__induct__1__1(X1)!=hAPP(hAPP(c_Type_Otype_OFun,X2),X4))).
% 0.20/0.44  cnf(i_0_807, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3))).
% 0.20/0.44  cnf(i_0_678, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3))).
% 0.20/0.44  cnf(i_0_763, 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))).
% 0.20/0.44  cnf(i_0_828, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~c_lessequals(X2,X1,X3)|~class_Orderings_Opreorder(X3))).
% 0.20/0.44  cnf(i_0_1030, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_880, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_882, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_648, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)|~c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_869, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_629, plain, (c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_794, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3))).
% 0.20/0.44  cnf(i_0_868, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.20/0.44  cnf(i_0_855, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X1,X2,X3))).
% 0.20/0.44  cnf(i_0_1174, plain, (c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)|~c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X5),X4))|~c_Type_Otyping(X1,X3,X5))).
% 0.20/0.44  cnf(i_0_1052, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)),c_Nat_Osemiring__1__class_Oof__nat(X3,X1))=c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.20/0.44  cnf(i_0_806, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.44  cnf(i_0_639, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.44  cnf(i_0_636, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.20/0.44  cnf(i_0_650, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))).
% 0.20/0.44  cnf(i_0_673, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X2)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1006, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 0.20/0.44  cnf(i_0_945, 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))).
% 0.20/0.44  cnf(i_0_927, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.44  cnf(i_0_725, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1027, 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))).
% 0.20/0.44  cnf(i_0_1024, 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))).
% 0.20/0.44  cnf(i_0_786, plain, (c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X2,X1,X1)|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 0.20/0.44  cnf(i_0_756, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_623, 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))).
% 0.20/0.44  cnf(i_0_946, plain, (hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X1,X2,X3)),c_Type_Osko__Type__Xtyping__elims__3__2(X1,X2,X3))=X1|~c_Type_Otyping(X2,c_Lambda_OdB_OAbs(X3),X1))).
% 0.20/0.44  cnf(i_0_877, 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))).
% 0.20/0.44  cnf(i_0_875, 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))).
% 0.20/0.44  cnf(i_0_995, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X4),X3),c_Power_Opower__class_Opower(X2,c_Suc(X4),X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.20/0.44  cnf(i_0_707, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.20/0.44  cnf(i_0_822, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_676, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_992, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))|~c_lessequals(X3,X2,tc_nat))).
% 0.20/0.44  cnf(i_0_993, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)),X2)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_788, 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))).
% 0.20/0.44  cnf(i_0_1003, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.20/0.44  cnf(i_0_1119, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X1,X4,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.20/0.44  cnf(i_0_682, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)!=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 0.20/0.44  cnf(i_0_683, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)!=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 0.20/0.44  cnf(i_0_1167, plain, (c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X1,X2,X4)),X3))|~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4),X3))).
% 0.20/0.44  cnf(i_0_858, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),tc_nat)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_617, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_791, 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))).
% 0.20/0.44  cnf(i_0_984, plain, (c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,c_HOL_Ozero__class_Ozero(X1),X1,X1)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.20/0.44  cnf(i_0_1149, plain, (c_InductTermi_OIT(c_Lambda_Osubst(X1,X2,X3))|~c_InductTermi_OIT(X2)|~c_InductTermi_OIT(X1)|~c_Type_Otyping(c_Type_Oshift(X4,X3,X5,tc_Type_Otype),X1,X6)|~c_Type_Otyping(X4,X2,X5))).
% 0.20/0.44  cnf(i_0_1166, 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))).
% 0.20/0.44  cnf(i_0_926, plain, (X1=X2|c_Power_Opower__class_Opower(X1,c_Suc(X3),X4)!=c_Power_Opower__class_Opower(X2,c_Suc(X3),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4))).
% 0.20/0.44  cnf(i_0_1013, 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))).
% 0.20/0.44  cnf(i_0_771, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X7,X8))).
% 0.20/0.44  cnf(i_0_775, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X6,X7,X8))).
% 0.20/0.44  cnf(i_0_825, plain, (c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))|~c_Lambda_Obeta(X1,X3))).
% 0.20/0.44  cnf(i_0_1008, 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))).
% 0.20/0.44  cnf(i_0_1165, plain, (c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)|~c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)|~c_Type_Otyping(X1,X3,X6))).
% 0.20/0.44  cnf(i_0_913, plain, (X1=X2|c_Power_Opower__class_Opower(X1,X3,X4)!=c_Power_Opower__class_Opower(X2,X3,X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X1,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.20/0.44  cnf(i_0_1017, plain, (c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2)|~class_Ring__and__Field_Oring__1(X2)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_635, plain, (c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3,tc_nat)=c_HOL_Ominus__class_Ominus(c_Suc(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_1143, plain, (c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X1,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xabs__typeE__1__2(X1,X2))|~c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3))).
% 0.20/0.44  cnf(i_0_866, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),c_Suc(X3),tc_nat)=c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.20/0.44  cnf(i_0_692, 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))).
% 0.20/0.44  cnf(i_0_928, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)=c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.44  cnf(i_0_721, 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))).
% 0.20/0.44  cnf(i_0_633, 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))).
% 0.20/0.44  cnf(i_0_656, 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))).
% 0.20/0.44  cnf(i_0_657, 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))).
% 0.20/0.44  cnf(i_0_751, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Oord__class_Omax(X2,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.44  cnf(i_0_808, plain, (c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB))|~c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB))|~c_InductTermi_OIT(X2))).
% 0.20/0.44  cnf(i_0_1144, plain, (c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X2,X1,X3),tc_Type_Otype),X3,c_Type_Osko__Type__Xtyping__elims__3__2(X2,X1,X3))|~c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),X2))).
% 0.20/0.44  cnf(i_0_837, 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))).
% 0.20/0.44  cnf(i_0_754, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.20/0.44  cnf(i_0_696, 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))).
% 0.20/0.44  cnf(i_0_728, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X1,X4,X3))).
% 0.20/0.44  cnf(i_0_755, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.44  cnf(i_0_610, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.20/0.44  cnf(i_0_749, 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))).
% 0.20/0.44  cnf(i_0_706, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.20/0.44  cnf(i_0_814, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,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))).
% 0.20/0.44  cnf(i_0_815, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.44  cnf(i_0_1034, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.20/0.44  cnf(i_0_699, 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))).
% 0.20/0.44  cnf(i_0_688, 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))).
% 0.20/0.44  cnf(i_0_750, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.20/0.44  cnf(i_0_1132, plain, (c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)|~c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X5,X4,tc_Type_Otype,tc_Type_Otype))|~c_Type_Otypings(X1,X3,X5))).
% 0.20/0.44  cnf(i_0_1131, plain, (c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.20/0.44  cnf(i_0_1133, plain, (c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.20/0.44  cnf(i_0_687, 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))).
% 0.20/0.44  cnf(i_0_1150, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X1,X2,X4),X3,tc_Type_Otype,tc_Type_Otype))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB),X3))).
% 0.20/0.44  cnf(i_0_899, plain, (hAPP(hAPP(X1,X2),X2)=hAPP(hAPP(X3,hAPP(hAPP(X1,X4),X4)),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X3,X5,X6,X4,X7))).
% 0.20/0.44  cnf(i_0_1023, 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))).
% 0.20/0.44  cnf(i_0_1022, 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))).
% 0.20/0.44  cnf(i_0_1026, 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))).
% 0.20/0.44  cnf(i_0_1025, 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))).
% 0.20/0.44  cnf(i_0_878, 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))).
% 0.20/0.44  cnf(i_0_874, 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))).
% 0.20/0.44  cnf(i_0_879, 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))).
% 0.20/0.44  cnf(i_0_691, 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))).
% 0.20/0.44  cnf(i_0_876, 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))).
% 0.20/0.44  cnf(i_0_693, 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))).
% 0.20/0.44  cnf(i_0_772, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_857, 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))).
% 0.20/0.44  cnf(i_0_753, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X3,c_HOL_Ozero__class_Ozero(X1),X1,X1))=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.20/0.44  cnf(i_0_1043, 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))).
% 0.20/0.44  cnf(i_0_776, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_795, 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))).
% 0.20/0.44  cnf(i_0_990, plain, (hAPP(hAPP(X1,X2),c_Suc(X3))=hAPP(hAPP(X4,X2),hAPP(hAPP(X1,X2),X3))|~c_Groebner__Basis_Ogb__semiring(X5,X4,X1,X6,X7,X8))).
% 0.20/0.44  cnf(i_0_937, 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))).
% 0.20/0.44  cnf(i_0_925, plain, (c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Orderings_Oord__class_Omax(X2,X4,X1)),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 0.20/0.44  cnf(i_0_938, 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))).
% 0.20/0.44  cnf(i_0_616, 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))).
% 0.20/0.44  cnf(i_0_989, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X3)=hAPP(hAPP(X2,X3),c_Suc(X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X2,X6,X7,X8))).
% 0.20/0.44  cnf(i_0_884, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_781, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_900, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X4),X2))=hAPP(hAPP(X3,hAPP(hAPP(X1,X4),X5)),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X3,X6,X7,X5,X8))).
% 0.20/0.44  cnf(i_0_901, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X4)=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Groebner__Basis_Ogb__semiring(X1,X2,X6,X7,X5,X8))).
% 0.20/0.44  cnf(i_0_695, 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))).
% 0.20/0.44  cnf(i_0_675, plain, (c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1))|~class_OrderedGroup_Osemigroup__add(X1))).
% 0.20/0.44  cnf(i_0_770, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X3),X5))=hAPP(hAPP(X2,X3),hAPP(hAPP(X1,X4),X5))|~c_Groebner__Basis_Ogb__semiring(X1,X2,X6,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_769, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X5),X4))=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Groebner__Basis_Ogb__semiring(X6,X1,X2,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_895, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X5),X4))=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Groebner__Basis_Ogb__semiring(X1,X2,X6,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_887, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),X3)|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_780, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),X3)|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_680, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X3),X5))=hAPP(hAPP(X2,X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X5))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X2,X7,X8,X9))).
% 0.20/0.44  cnf(i_0_909, 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))).
% 0.20/0.44  cnf(i_0_1120, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__types__1__1(X3,X4,X1,X2))|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X5),X6,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)|~c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X5),X6,tc_Lambda_OdB,tc_Lambda_OdB),X4)|~c_Type_Otypings(X1,X6,X7))).
% 0.20/0.44  cnf(i_0_1130, plain, (c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X1,X2,X3,X4),X1,tc_Type_Otype,tc_Type_Otype)=X2|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X5),X6,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1)|~c_Type_Otyping(X3,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X5),X6,tc_Lambda_OdB,tc_Lambda_OdB),X2)|~c_Type_Otypings(X3,X6,X7))).
% 0.20/0.44  cnf(i_0_890, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X3),X5))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X7,X8,X9,X10))).
% 0.20/0.44  cnf(i_0_783, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X3),X5))|~c_Groebner__Basis_Ogb__semiring(X1,X6,X7,X8,X9,X10))).
% 0.20/0.44  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.20/0.44  # Begin printing tableau
% 0.20/0.44  # Found 4 steps
% 0.20/0.44  cnf(i_0_1186, negated_conjecture, (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____)), inference(start_rule)).
% 0.20/0.44  cnf(i_0_1215, plain, (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____)), inference(extension_rule, [i_0_1174])).
% 0.20/0.44  cnf(i_0_1838, plain, (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____))), inference(closure_rule, [i_0_1185])).
% 0.20/0.44  cnf(i_0_1839, plain, (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____)), inference(closure_rule, [i_0_1184])).
% 0.20/0.44  # End printing tableau
% 0.20/0.44  # SZS output end
% 0.20/0.44  # Branches closed with saturation will be marked with an "s"
% 0.20/0.44  # Returning from population with 2 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.44  # We now have 2 tableaux to operate on
% 0.20/0.44  # Found closed tableau during pool population.
% 0.20/0.44  # Proof search is over...
% 0.20/0.44  # Freeing feature tree
%------------------------------------------------------------------------------