TSTP Solution File: LCL778-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL778-1 : 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 : n014.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 10:25:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL778-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33 % Computer : n014.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 : Mon Jul 4 06:00:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.48 # No SInE strategy applied
% 0.18/0.48 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 0.18/0.48 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.18/0.48 #
% 0.18/0.48 # Number of axioms: 548 Number of unprocessed: 548
% 0.18/0.48 # Tableaux proof search.
% 0.18/0.48 # APR header successfully linked.
% 0.18/0.48 # Hello from C++
% 0.18/0.49 # The folding up rule is enabled...
% 0.18/0.49 # Local unification is enabled...
% 0.18/0.49 # Any saturation attempts will use folding labels...
% 0.18/0.49 # 548 beginning clauses after preprocessing and clausification
% 0.18/0.49 # Creating start rules for all 5 conjectures.
% 0.18/0.49 # There are 5 start rule candidates:
% 0.18/0.49 # Found 139 unit axioms.
% 0.18/0.49 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.18/0.49 # Found closed tableau while making start rule
% 0.18/0.49 # There were 0 total branch saturation attempts.
% 0.18/0.49 # There were 0 of these attempts blocked.
% 0.18/0.49 # There were 0 deferred branch saturation attempts.
% 0.18/0.49 # There were 0 free duplicated saturations.
% 0.18/0.49 # There were 0 total successful branch saturations.
% 0.18/0.49 # There were 0 successful branch saturations in interreduction.
% 0.18/0.49 # There were 0 successful branch saturations on the branch.
% 0.18/0.49 # There were 0 successful branch saturations after the branch.
% 0.18/0.49 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 # Begin clausification derivation
% 0.18/0.49
% 0.18/0.49 # End clausification derivation
% 0.18/0.49 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.49 cnf(i_0_1079, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.18/0.49 cnf(i_0_1094, plain, (class_Power_Opower(tc_nat))).
% 0.18/0.49 cnf(i_0_1080, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.18/0.49 cnf(i_0_1072, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1075, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1073, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.18/0.49 cnf(i_0_1082, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1092, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.18/0.49 cnf(i_0_1093, plain, (class_Orderings_Oorder(tc_nat))).
% 0.18/0.49 cnf(i_0_1096, plain, (class_Orderings_Oorder(tc_bool))).
% 0.18/0.49 cnf(i_0_1091, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.18/0.49 cnf(i_0_1095, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.18/0.49 cnf(i_0_1074, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1088, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))).
% 0.18/0.49 cnf(i_0_1085, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.18/0.49 cnf(i_0_1083, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))).
% 0.18/0.49 cnf(i_0_1086, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.18/0.49 cnf(i_0_1089, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1081, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1090, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.18/0.49 cnf(i_0_1076, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1077, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1078, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.18/0.49 cnf(i_0_1087, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.18/0.49 cnf(i_0_1084, plain, (class_OrderedGroup_Osemigroup__add(tc_nat))).
% 0.18/0.49 cnf(i_0_1034, plain, (c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(X1))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.49 cnf(i_0_1019, plain, (c_Lambda_OdB_OAbs(X2)!=c_Lambda_OdB_OVar(X1))).
% 0.18/0.49 cnf(i_0_1014, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.18/0.49 cnf(i_0_965, plain, (c_Nat_Osize__class_Osize(X1,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.49 cnf(i_0_1053, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.18/0.49 cnf(i_0_872, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.18/0.49 cnf(i_0_647, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.18/0.49 cnf(i_0_648, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))).
% 0.18/0.49 cnf(i_0_1033, plain, (c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(X1),tc_Lambda_OdB)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.49 cnf(i_0_1067, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,v_s)))).
% 0.18/0.49 cnf(i_0_916, plain, (c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X1),X1)|~class_OrderedGroup_Osemigroup__add(X1))).
% 0.18/0.49 cnf(i_0_1030, 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))).
% 0.18/0.49 cnf(i_0_646, plain, (c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__1(X1))).
% 0.18/0.49 cnf(i_0_682, plain, (c_List_Olistsum(c_List_Olist_ONil(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.18/0.49 cnf(i_0_1071, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.18/0.49 cnf(i_0_1070, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.18/0.49 cnf(i_0_1062, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))).
% 0.18/0.49 cnf(i_0_970, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 0.18/0.49 cnf(i_0_972, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 0.18/0.49 cnf(i_0_971, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)=X1)).
% 0.18/0.49 cnf(i_0_754, plain, (X2=X3|c_Nat_Osemiring__1__class_Oof__nat(X2,X1)!=c_Nat_Osemiring__1__class_Oof__nat(X3,X1)|~class_Nat_Osemiring__char__0(X1))).
% 0.18/0.49 cnf(i_0_829, plain, (c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X1,X2),X2)=c_Transitive__Closure_Ortranclp(X1,X2))).
% 0.18/0.49 cnf(i_0_967, plain, (c_Orderings_Oord__class_Omax(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.18/0.49 cnf(i_0_968, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.18/0.49 cnf(i_0_862, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.49 cnf(i_0_856, plain, (c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=X1)).
% 0.18/0.49 cnf(i_0_857, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.18/0.49 cnf(i_0_722, plain, (c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2))).
% 0.18/0.49 cnf(i_0_737, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)).
% 0.18/0.49 cnf(i_0_736, plain, (c_List_Oappend(c_List_Olist_ONil(X2),X1,X2)=X1)).
% 0.18/0.49 cnf(i_0_739, plain, (c_List_Oappend(c_List_Olist_ONil(X2),X1,X2)=X1)).
% 0.18/0.49 cnf(i_0_735, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)).
% 0.18/0.49 cnf(i_0_738, plain, (c_List_Oappend(c_List_Olist_ONil(X1),X2,X1)=X2)).
% 0.18/0.49 cnf(i_0_877, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1)=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_815, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Olist_ONil(X2))).
% 0.18/0.49 cnf(i_0_594, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Oorder(X1))).
% 0.18/0.49 cnf(i_0_593, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Opreorder(X1))).
% 0.18/0.49 cnf(i_0_900, plain, (c_Orderings_Oord__class_Omax(X2,X2,X1)=X2|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_1061, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.18/0.49 cnf(i_0_978, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.18/0.49 cnf(i_0_1064, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_Lambda_OdB_OVar(X3))).
% 0.18/0.49 cnf(i_0_977, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_Lambda_OdB_OAbs(X3))).
% 0.18/0.49 cnf(i_0_875, plain, (c_Predicate_Oconversep(c_fequal(X1),X1,X1)=c_fequal(X1))).
% 0.18/0.49 cnf(i_0_625, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.18/0.49 cnf(i_0_624, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))).
% 0.18/0.49 cnf(i_0_853, 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))).
% 0.18/0.49 cnf(i_0_850, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.18/0.49 cnf(i_0_852, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.18/0.49 cnf(i_0_555, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Power_Opower(X1))).
% 0.18/0.49 cnf(i_0_556, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.18/0.49 cnf(i_0_828, plain, (c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_951, plain, (c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_637, 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))).
% 0.18/0.49 cnf(i_0_847, 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))).
% 0.18/0.49 cnf(i_0_854, 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))).
% 0.18/0.49 cnf(i_0_848, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.18/0.49 cnf(i_0_851, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.18/0.49 cnf(i_0_849, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.18/0.49 cnf(i_0_614, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.18/0.49 cnf(i_0_579, 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))).
% 0.18/0.49 cnf(i_0_860, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=X1)).
% 0.18/0.49 cnf(i_0_861, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=X1)).
% 0.18/0.49 cnf(i_0_858, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.49 cnf(i_0_859, 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))).
% 0.18/0.49 cnf(i_0_846, 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))).
% 0.18/0.49 cnf(i_0_657, plain, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.18/0.49 cnf(i_0_1024, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_1028, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.18/0.49 cnf(i_0_878, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.18/0.49 cnf(i_0_879, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.18/0.49 cnf(i_0_1022, plain, (c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)))).
% 0.18/0.49 cnf(i_0_819, plain, (c_List_Olist_OCons(X2,X1,X3)!=X1)).
% 0.18/0.49 cnf(i_0_818, plain, (c_List_Olist_OCons(X1,X2,X3)!=X2)).
% 0.18/0.49 cnf(i_0_863, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.18/0.49 cnf(i_0_864, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.18/0.49 cnf(i_0_749, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))).
% 0.18/0.49 cnf(i_0_903, plain, (c_List_Olist_OCons(X2,X3,X1)!=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_772, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.18/0.49 cnf(i_0_773, plain, (c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.18/0.49 cnf(i_0_928, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X2,X1,X3)!=X1)).
% 0.18/0.49 cnf(i_0_926, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X1)).
% 0.18/0.49 cnf(i_0_925, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X1)).
% 0.18/0.49 cnf(i_0_927, plain, (X1=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X2)).
% 0.18/0.49 cnf(i_0_855, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.18/0.49 cnf(i_0_881, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.18/0.49 cnf(i_0_880, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.18/0.49 cnf(i_0_882, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.18/0.49 cnf(i_0_550, 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))).
% 0.18/0.49 cnf(i_0_551, 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))).
% 0.18/0.49 cnf(i_0_917, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X2,X3,X1)!=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_913, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.18/0.49 cnf(i_0_1027, plain, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.18/0.49 cnf(i_0_871, plain, (X3=c_List_Olist_ONil(X1)|c_List_Oappend(X2,X3,X1)!=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_870, plain, (X2=c_List_Olist_ONil(X1)|c_List_Oappend(X2,X3,X1)!=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_874, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.18/0.49 cnf(i_0_873, plain, (X1=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.18/0.49 cnf(i_0_844, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.18/0.49 cnf(i_0_845, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=X2|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.18/0.49 cnf(i_0_843, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1))).
% 0.18/0.49 cnf(i_0_1097, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 0.18/0.49 cnf(i_0_893, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.18/0.49 cnf(i_0_895, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.18/0.49 cnf(i_0_1020, plain, (hAPP(X1,X2)=X3|~c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3))).
% 0.18/0.49 cnf(i_0_1056, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2)).
% 0.18/0.49 cnf(i_0_747, 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))).
% 0.18/0.49 cnf(i_0_751, 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))).
% 0.18/0.49 cnf(i_0_748, 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))).
% 0.18/0.49 cnf(i_0_612, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.18/0.49 cnf(i_0_580, 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))).
% 0.18/0.49 cnf(i_0_966, plain, (c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2))).
% 0.18/0.49 cnf(i_0_812, plain, (c_Orderings_Oord__class_Omax(X2,X3,X1)=c_Orderings_Oord__class_Omax(X3,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_581, plain, (c_lessequals(X3,X2,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_638, plain, (c_lessequals(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_644, plain, (c_lessequals(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_642, plain, (c_lessequals(X2,X3,X1)|c_HOL_Oord__class_Oless(X3,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_640, plain, (c_lessequals(X2,X2,X1)|c_HOL_Oord__class_Oless(X2,X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_1059, plain, (X2=X4|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4))).
% 0.18/0.49 cnf(i_0_1058, plain, (X1=X3|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4))).
% 0.18/0.49 cnf(i_0_892, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_896, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_898, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_899, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_891, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.18/0.49 cnf(i_0_1029, plain, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.18/0.49 cnf(i_0_842, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1))).
% 0.18/0.49 cnf(i_0_834, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_OrderedGroup_Omonoid__add(X2,X1,X4))).
% 0.18/0.49 cnf(i_0_833, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_OrderedGroup_Omonoid__add(X3,X1,X4))).
% 0.18/0.49 cnf(i_0_816, 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))).
% 0.18/0.49 cnf(i_0_811, 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))).
% 0.18/0.49 cnf(i_0_672, plain, (X2=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3))).
% 0.18/0.49 cnf(i_0_765, plain, (X2=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3))).
% 0.18/0.49 cnf(i_0_671, plain, (X1=X3|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2))).
% 0.18/0.49 cnf(i_0_607, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_606, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_813, 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))).
% 0.18/0.49 cnf(i_0_634, plain, (c_Orderings_Oord__class_Omax(X2,X3,X1)=X3|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_636, plain, (c_Orderings_Oord__class_Omax(X2,X3,X1)=X2|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X2,X1))).
% 0.18/0.49 cnf(i_0_635, plain, (c_lessequals(X2,X3,X1)|c_Orderings_Oord__class_Omax(X2,X3,X1)!=X3|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_582, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_583, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_584, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_585, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_586, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_587, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_588, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_589, plain, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_734, plain, (c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X1))=X1|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X1)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_1017, plain, (~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X1)),X2)))).
% 0.18/0.49 cnf(i_0_922, plain, (c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X2,X3),X3,X2)=X1)).
% 0.18/0.49 cnf(i_0_1044, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2|c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.18/0.49 cnf(i_0_627, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X2,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_628, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_1043, plain, (X1=X3|hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X3)=c_Lambda_OdB_OVar(X1)|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.18/0.49 cnf(i_0_1098, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 0.18/0.49 cnf(i_0_1068, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,v_s),c_Lambda_OdB_OVar(v_i)))))).
% 0.18/0.49 cnf(i_0_941, plain, (X2=X5|c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3))).
% 0.18/0.49 cnf(i_0_725, plain, (X2=X4|c_List_Oappend(X1,X2,X3)!=c_List_Oappend(X1,X4,X3))).
% 0.18/0.49 cnf(i_0_940, plain, (X1=X4|c_List_Olist_OCons(X1,X2,X3)!=c_List_Olist_OCons(X4,X5,X3))).
% 0.18/0.49 cnf(i_0_724, plain, (X1=X4|c_List_Oappend(X1,X2,X3)!=c_List_Oappend(X4,X2,X3))).
% 0.18/0.49 cnf(i_0_723, plain, (X1=X4|c_List_Oreplicate(X1,X2,X3)!=c_List_Oreplicate(X4,X5,X3))).
% 0.18/0.49 cnf(i_0_767, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1))).
% 0.18/0.49 cnf(i_0_768, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 0.18/0.49 cnf(i_0_769, plain, (X2=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)|~class_OrderedGroup_Ocancel__semigroup__add(X1))).
% 0.18/0.49 cnf(i_0_565, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1)),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.18/0.49 cnf(i_0_969, plain, (X2=X5|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_List_Oreplicate(X1,X2,X3)!=c_List_Oreplicate(X4,X5,X3))).
% 0.18/0.49 cnf(i_0_641, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_643, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.18/0.49 cnf(i_0_639, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X2,X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.18/0.49 cnf(i_0_960, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_957, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_645, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.18/0.49 cnf(i_0_962, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_964, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_876, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X1)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X1)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_766, plain, (X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.18/0.49 cnf(i_0_608, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_609, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_610, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_909, 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))).
% 0.18/0.49 cnf(i_0_727, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)))).
% 0.18/0.49 cnf(i_0_728, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)))).
% 0.18/0.49 cnf(i_0_577, 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))).
% 0.18/0.49 cnf(i_0_894, plain, (X2=X3|c_HOL_Oord__class_Oless(X3,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X3,tc_nat)|hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 0.18/0.49 cnf(i_0_732, plain, (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_904, plain, (c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.18/0.49 cnf(i_0_1042, 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))).
% 0.18/0.49 cnf(i_0_910, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1))).
% 0.18/0.49 cnf(i_0_564, plain, (hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X1)),X2)=c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.18/0.49 cnf(i_0_613, plain, (c_lessequals(X3,X2,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_888, plain, (c_List_Olistsum(c_List_Olist_OCons(X2,X3,X1),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Olistsum(X3,X1))|~class_OrderedGroup_Omonoid__add(X1))).
% 0.18/0.49 cnf(i_0_655, 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))).
% 0.18/0.49 cnf(i_0_883, 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))).
% 0.18/0.49 cnf(i_0_1023, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X1),X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_822, plain, (c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3)=c_List_Olist_OCons(X1,X2,X3))).
% 0.18/0.49 cnf(i_0_929, plain, (c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1)=c_List_Olist_OCons(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_831, plain, (c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)=c_Orderings_Oord__class_Omax(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_924, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X2,tc_nat))).
% 0.18/0.49 cnf(i_0_923, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat))).
% 0.18/0.49 cnf(i_0_743, 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))).
% 0.18/0.49 cnf(i_0_746, 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))).
% 0.18/0.49 cnf(i_0_742, 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))).
% 0.18/0.49 cnf(i_0_745, 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))).
% 0.18/0.49 cnf(i_0_905, plain, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1))).
% 0.18/0.49 cnf(i_0_830, 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)))).
% 0.18/0.49 cnf(i_0_598, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_595, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_596, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_597, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(X4,X3,X1))).
% 0.18/0.49 cnf(i_0_712, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_591, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_592, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(X4,X3,X1))).
% 0.18/0.49 cnf(i_0_713, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_835, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.18/0.49 cnf(i_0_836, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.18/0.49 cnf(i_0_946, 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))).
% 0.18/0.49 cnf(i_0_619, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_621, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_618, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_620, plain, (c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_685, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_687, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_686, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_688, plain, (c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 0.18/0.49 cnf(i_0_824, plain, (c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1)=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_692, plain, (c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3)=c_List_Olist_ONil(X3))).
% 0.18/0.49 cnf(i_0_948, 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))).
% 0.18/0.49 cnf(i_0_942, plain, (c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X2)))).
% 0.18/0.49 cnf(i_0_733, plain, (hBOOL(hAPP(c_InductTermi_OIT,X1))|~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_576, 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))).
% 0.18/0.49 cnf(i_0_838, 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))).
% 0.18/0.49 cnf(i_0_570, 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))).
% 0.18/0.49 cnf(i_0_763, 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))).
% 0.18/0.49 cnf(i_0_866, 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))).
% 0.18/0.49 cnf(i_0_961, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,X4,X3)|~hBOOL(hAPP(hAPP(X1,X2),X4)))).
% 0.18/0.49 cnf(i_0_963, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,X4,X3)|~hBOOL(hAPP(hAPP(X1,X2),X4)))).
% 0.18/0.49 cnf(i_0_553, 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))).
% 0.18/0.49 cnf(i_0_632, 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))).
% 0.18/0.49 cnf(i_0_867, 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))).
% 0.18/0.49 cnf(i_0_709, 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)))).
% 0.18/0.49 cnf(i_0_554, plain, (X3=X4|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X2,X4,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.18/0.49 cnf(i_0_744, 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))).
% 0.18/0.49 cnf(i_0_750, plain, (c_HOL_Oord__class_Oless(X1,X4,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat))).
% 0.18/0.49 cnf(i_0_572, plain, (X3=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.18/0.49 cnf(i_0_571, plain, (X2=c_HOL_Ozero__class_Ozero(X1)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.18/0.49 cnf(i_0_718, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X4,X2,X3),X3))).
% 0.18/0.49 cnf(i_0_717, plain, (c_List_Olistsp(X1,X2,X3)|~c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.18/0.49 cnf(i_0_760, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X3),X4)))).
% 0.18/0.49 cnf(i_0_702, 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))).
% 0.18/0.49 cnf(i_0_706, 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))).
% 0.18/0.49 cnf(i_0_710, 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))).
% 0.18/0.49 cnf(i_0_617, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1))).
% 0.18/0.49 cnf(i_0_623, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1))).
% 0.18/0.49 cnf(i_0_616, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1))).
% 0.18/0.49 cnf(i_0_622, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1))).
% 0.18/0.49 cnf(i_0_683, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1))).
% 0.18/0.49 cnf(i_0_684, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1))).
% 0.18/0.49 cnf(i_0_662, plain, (c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(X1)),X2))).
% 0.18/0.49 cnf(i_0_936, 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))).
% 0.18/0.49 cnf(i_0_938, 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))).
% 0.18/0.49 cnf(i_0_770, plain, (c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4)=c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4))).
% 0.18/0.49 cnf(i_0_771, plain, (c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4)=c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4))).
% 0.18/0.49 cnf(i_0_954, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4)=c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4))).
% 0.18/0.49 cnf(i_0_956, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4)=c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4))).
% 0.18/0.49 cnf(i_0_679, plain, (c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3)=c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3))).
% 0.18/0.49 cnf(i_0_680, plain, (c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3)=c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3))).
% 0.18/0.49 cnf(i_0_953, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.18/0.49 cnf(i_0_955, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.18/0.49 cnf(i_0_569, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.18/0.49 cnf(i_0_764, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.18/0.49 cnf(i_0_865, plain, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.18/0.49 cnf(i_0_575, 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))).
% 0.18/0.49 cnf(i_0_837, 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))).
% 0.18/0.49 cnf(i_0_827, plain, (c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)=c_Orderings_Oord__class_Omax(X3,c_Orderings_Oord__class_Omax(X2,X4,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_826, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)=c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.18/0.49 cnf(i_0_914, plain, (c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)|~c_List_Olistsp(X1,X3,X4)|~c_List_Olistsp(X1,X2,X4))).
% 0.18/0.49 cnf(i_0_887, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_OrderedGroup_Osemigroup__add(X1,X5))).
% 0.18/0.49 cnf(i_0_629, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_630, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_631, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_726, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.18/0.49 cnf(i_0_700, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 0.18/0.49 cnf(i_0_918, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.18/0.49 cnf(i_0_605, 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))).
% 0.18/0.49 cnf(i_0_601, 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))).
% 0.18/0.49 cnf(i_0_603, 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))).
% 0.18/0.49 cnf(i_0_600, 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))).
% 0.18/0.49 cnf(i_0_930, 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))).
% 0.18/0.49 cnf(i_0_931, 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))).
% 0.18/0.49 cnf(i_0_933, 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))).
% 0.18/0.49 cnf(i_0_934, 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))).
% 0.18/0.49 cnf(i_0_574, plain, (c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.18/0.49 cnf(i_0_573, plain, (c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1))).
% 0.18/0.49 cnf(i_0_651, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.18/0.49 cnf(i_0_652, plain, (c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.18/0.49 cnf(i_0_561, 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_Oone__class_Oone(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.18/0.49 cnf(i_0_578, 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))).
% 0.18/0.49 cnf(i_0_654, 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))).
% 0.18/0.49 cnf(i_0_653, 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))).
% 0.18/0.49 cnf(i_0_885, 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))).
% 0.18/0.49 cnf(i_0_568, 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))).
% 0.18/0.49 cnf(i_0_649, 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))).
% 0.18/0.49 cnf(i_0_650, 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))).
% 0.18/0.49 cnf(i_0_681, 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))).
% 0.18/0.49 cnf(i_0_708, 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)))).
% 0.18/0.49 cnf(i_0_663, plain, (c_Lambda_OdB_OAbs(c_Lambda_Oliftn(X1,X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))))=c_Lambda_Oliftn(X1,c_Lambda_OdB_OAbs(X2),X3))).
% 0.18/0.49 cnf(i_0_626, plain, (c_lessequals(X2,X4,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1))).
% 0.18/0.49 cnf(i_0_868, plain, (c_HOL_Oord__class_Oless(X2,X4,X1)|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1))).
% 0.18/0.49 cnf(i_0_1012, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),X2)),X3),X2)=X1)).
% 0.18/0.49 cnf(i_0_695, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)=X5|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.18/0.49 cnf(i_0_814, plain, (c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X2)))).
% 0.18/0.49 cnf(i_0_869, plain, (X1=X3|hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),c_Lambda_Oliftn(X3,X2,c_HOL_Ozero__class_Ozero(tc_nat))),X3)=c_Lambda_OdB_OVar(X1)|c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.18/0.49 cnf(i_0_762, plain, (~c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3))).
% 0.18/0.49 cnf(i_0_761, plain, (~c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2))).
% 0.18/0.49 cnf(i_0_755, plain, (X3=c_List_Olist_ONil(X4)|c_List_Omap(X2,X3,X4,X1)!=c_List_Olist_ONil(X1))).
% 0.18/0.49 cnf(i_0_947, plain, (X2=c_List_Olist_ONil(X3)|c_List_Omap(X1,X2,X3,X4)!=c_List_Olist_ONil(X4))).
% 0.18/0.49 cnf(i_0_902, 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))).
% 0.18/0.49 cnf(i_0_908, plain, (c_List_Oappend(c_List_Oreplicate(X1,X3,X4),c_List_Oreplicate(X2,X3,X4),X4)=c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,X4))).
% 0.18/0.49 cnf(i_0_1032, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X2,c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.18/0.49 cnf(i_0_704, 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))).
% 0.18/0.49 cnf(i_0_711, 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))).
% 0.18/0.49 cnf(i_0_701, 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))).
% 0.18/0.49 cnf(i_0_707, 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))).
% 0.18/0.49 cnf(i_0_705, 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))).
% 0.18/0.49 cnf(i_0_937, 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))).
% 0.18/0.49 cnf(i_0_981, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,X1),X3)),hAPP(hAPP(c_Lambda_Olift,X2),X3))=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),X3))).
% 0.18/0.49 cnf(i_0_729, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X2),X4)))).
% 0.18/0.49 cnf(i_0_730, plain, (c_Wellfounded_Oaccp(X1,X2,X3)|~c_Wellfounded_Oaccp(X1,X4,X3)|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X2),X4)))).
% 0.18/0.49 cnf(i_0_741, plain, (c_List_Omap(X1,c_List_Oreplicate(X2,X3,X4),X4,X5)=c_List_Oreplicate(X2,hAPP(X1,X3),X5))).
% 0.18/0.49 cnf(i_0_633, 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))).
% 0.18/0.49 cnf(i_0_567, 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))).
% 0.18/0.49 cnf(i_0_566, 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))).
% 0.18/0.49 cnf(i_0_901, 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))).
% 0.18/0.49 cnf(i_0_832, plain, (c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3)=c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3))).
% 0.18/0.49 cnf(i_0_821, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),c_Lambda_Oliftn(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat))),X1)=c_Lambda_Oliftn(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat))|c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.18/0.49 cnf(i_0_716, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)))).
% 0.18/0.49 cnf(i_0_659, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.18/0.49 cnf(i_0_661, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))).
% 0.18/0.49 cnf(i_0_552, plain, (c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.18/0.49 cnf(i_0_1057, 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)))).
% 0.18/0.49 cnf(i_0_560, plain, (X2=X4|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X4,X3,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.18/0.49 cnf(i_0_602, plain, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1))).
% 0.18/0.49 cnf(i_0_604, plain, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1))).
% 0.18/0.49 cnf(i_0_935, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1))).
% 0.18/0.49 cnf(i_0_932, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1))).
% 0.18/0.49 cnf(i_0_986, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(X1,X2,X4)),c_Lambda_Oliftn(X1,X3,X4))=c_Lambda_Oliftn(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4))).
% 0.18/0.49 cnf(i_0_590, plain, (c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X5,X4,X1)|~c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5),X1))).
% 0.18/0.49 cnf(i_0_615, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X2)=X3)).
% 0.18/0.49 cnf(i_0_703, 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))).
% 0.18/0.49 cnf(i_0_823, plain, (c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 0.18/0.49 cnf(i_0_897, 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))).
% 0.18/0.49 cnf(i_0_665, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat))).
% 0.18/0.49 cnf(i_0_950, plain, (X2=X5|c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3)!=c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3))).
% 0.18/0.49 cnf(i_0_949, plain, (X1=X4|c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3)!=c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3))).
% 0.18/0.49 cnf(i_0_559, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.18/0.49 cnf(i_0_658, plain, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1))).
% 0.18/0.49 cnf(i_0_660, plain, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1))).
% 0.18/0.49 cnf(i_0_656, plain, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1))).
% 0.18/0.49 cnf(i_0_721, plain, (c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X4,X5),c_List_Olist_OCons(X3,X4,X5),X5)|~hBOOL(hAPP(hAPP(X1,X2),X3)))).
% 0.18/0.49 cnf(i_0_599, plain, (hAPP(c_Type_Oshift(X1,X2,X3,X4),X5)=hAPP(X1,X5)|~c_HOL_Oord__class_Oless(X5,X2,tc_nat))).
% 0.18/0.49 cnf(i_0_959, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X5),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)))).
% 0.18/0.49 cnf(i_0_958, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X3),X5))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X5),X4)))).
% 0.18/0.49 cnf(i_0_817, 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)))).
% 0.18/0.49 cnf(i_0_985, 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)))).
% 0.18/0.49 cnf(i_0_984, 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)))).
% 0.18/0.49 cnf(i_0_697, plain, (hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))).
% 0.18/0.49 cnf(i_0_699, plain, (hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))|~hBOOL(hAPP(hAPP(X1,X5),X4)))).
% 0.18/0.49 cnf(i_0_945, plain, (c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3)=c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3))).
% 0.18/0.49 cnf(i_0_558, plain, (c_Type_Otyping(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X4),X2),X5)|~c_Type_Otyping(X1,X4,X5))).
% 0.18/0.49 cnf(i_0_809, 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))).
% 0.18/0.49 cnf(i_0_720, plain, (X3=X4|X1=X2|~c_ListOrder_Ostep1(X5,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X1,X3,X6),X6))).
% 0.18/0.49 cnf(i_0_731, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X5),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)))).
% 0.18/0.49 cnf(i_0_666, plain, (c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),hAPP(hAPP(c_Lambda_Olift,X2),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(X1)),X2),X3))).
% 0.18/0.49 cnf(i_0_808, 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))).
% 0.18/0.49 cnf(i_0_1025, 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)))))).
% 0.18/0.49 cnf(i_0_884, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_Olift,X1),X2)),hAPP(hAPP(c_Lambda_Olift,X3),X2)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)))).
% 0.18/0.49 cnf(i_0_677, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)))).
% 0.18/0.49 cnf(i_0_678, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)))).
% 0.18/0.49 cnf(i_0_944, 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))).
% 0.18/0.49 cnf(i_0_714, plain, (c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X5,X4),c_List_Oappend(X3,X5,X4),X4)|~c_ListOrder_Ostep1(X1,X2,X3,X4))).
% 0.18/0.49 cnf(i_0_715, 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))).
% 0.18/0.49 cnf(i_0_696, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)))).
% 0.18/0.49 cnf(i_0_698, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)))).
% 0.18/0.49 cnf(i_0_1052, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X3),X4)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X4))=hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),X3),X4))).
% 0.18/0.49 cnf(i_0_674, 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))).
% 0.18/0.49 cnf(i_0_676, 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))).
% 0.18/0.49 cnf(i_0_675, plain, (c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5)=c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5))).
% 0.18/0.49 cnf(i_0_886, plain, (X2=X3|c_ListOrder_Ostep1(X1,X2,X3,X4)|~c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X6,X3,X4),X4))).
% 0.18/0.49 cnf(i_0_943, plain, (c_ListOrder_Ostep1(X1,X2,X3,X4)|hBOOL(hAPP(hAPP(X1,X5),X6))|~c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X6,X3,X4),X4))).
% 0.18/0.49 cnf(i_0_810, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)))).
% 0.18/0.49 cnf(i_0_557, plain, (c_Type_Otyping(X1,hAPP(hAPP(hAPP(c_Lambda_Osubst,X5),X2),X4),X6)|~c_Type_Otyping(X1,X2,X3)|~c_Type_Otyping(c_Type_Oshift(X1,X4,X3,tc_Type_Otype),X5,X6))).
% 0.18/0.49 cnf(i_0_999, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)).
% 0.18/0.49 cnf(i_0_693, plain, (c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4)=X3)).
% 0.18/0.49 cnf(i_0_995, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2(X1),c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1)).
% 0.18/0.49 cnf(i_0_1047, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OVar(X1))).
% 0.18/0.49 cnf(i_0_993, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(X1))).
% 0.18/0.49 cnf(i_0_997, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=c_Lambda_OdB_OAbs(X1))).
% 0.18/0.49 cnf(i_0_1011, 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)))).
% 0.18/0.49 cnf(i_0_563, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),X4)),hAPP(hAPP(c_Lambda_Olift,X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),X4)|~c_HOL_Oord__class_Oless(X4,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 0.18/0.49 cnf(i_0_1021, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),X5)=hAPP(X1,X4))).
% 0.18/0.49 cnf(i_0_719, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),X5)=hAPP(X3,X4))).
% 0.18/0.49 cnf(i_0_1018, plain, (c_Lambda_OdB_OdB__rec(X1,X2,X3,c_Lambda_OdB_OVar(X4),X5)=hAPP(X1,X4))).
% 0.18/0.49 cnf(i_0_906, plain, (c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,c_HOL_Ozero__class_Ozero(X1),X1,X1)=c_List_Olistsum(X2,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.18/0.49 cnf(i_0_975, plain, (c_List_Olistsum(X2,X1)=c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1,X1)|~class_OrderedGroup_Omonoid__add(X1))).
% 0.18/0.49 cnf(i_0_740, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)))).
% 0.18/0.49 cnf(i_0_1035, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2))).
% 0.18/0.49 cnf(i_0_982, plain, (c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),X6)=hAPP(hAPP(X2,X4),X5))).
% 0.18/0.49 cnf(i_0_839, plain, (c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X1))=X1|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X1)),v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_690, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3)))).
% 0.18/0.49 cnf(i_0_1013, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X1)),v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X1)))|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_889, plain, (c_List_Oappend(c_List_Omap(X1,X2,X4,X5),c_List_Omap(X1,X3,X4,X5),X5)=c_List_Omap(X1,c_List_Oappend(X2,X3,X4),X4,X5))).
% 0.18/0.49 cnf(i_0_757, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X2),X3)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X4)))).
% 0.18/0.49 cnf(i_0_758, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X4),X3)))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X4)))).
% 0.18/0.49 cnf(i_0_673, plain, (c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X1))=X1|c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X1))),v_sko__InductTermi__XIT__Xcases__5(X1)),v_sko__InductTermi__XIT__Xcases__6(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_911, plain, (X3=X4|X1=X2|~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))).
% 0.18/0.49 cnf(i_0_939, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X1))),v_sko__InductTermi__XIT__Xcases__5(X1)),v_sko__InductTermi__XIT__Xcases__6(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X1)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_753, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_ListOrder_Ostep1(X1,c_List_Oappend(X4,c_List_Olist_OCons(X2,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X6,c_List_Olist_OCons(X3,c_List_Olist_ONil(X5),X5),X5),X5))).
% 0.18/0.49 cnf(i_0_825, 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))).
% 0.18/0.49 cnf(i_0_689, plain, (c_ListOrder_Ostep1(X1,X4,X5,X6)|hBOOL(hAPP(hAPP(X1,X2),X3))|~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))).
% 0.18/0.49 cnf(i_0_691, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3)))).
% 0.18/0.49 cnf(i_0_1048, plain, (X3=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OVar(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_992, plain, (X3=c_List_Olist_ONil(tc_Lambda_OdB)|c_Lambda_OdB_OAbs(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_996, plain, (X2=c_List_Olist_ONil(tc_Lambda_OdB)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X3))).
% 0.18/0.49 cnf(i_0_562, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X4)),X3)=hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),X4)|~c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)),tc_nat))).
% 0.18/0.49 cnf(i_0_1037, plain, (X1=c_Lambda_OdB_OAbs(X3)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X3))).
% 0.18/0.49 cnf(i_0_1060, 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))).
% 0.18/0.49 cnf(i_0_1041, plain, (c_Lambda_OdB_OAbs(X1)=X2|c_Lambda_OdB_OAbs(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_664, plain, (c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_Oliftn(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),X2,c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))))=hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(X1)),c_Lambda_Oliftn(X3,X2,c_HOL_Ozero__class_Ozero(tc_nat))),X3))).
% 0.18/0.49 cnf(i_0_1049, 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))).
% 0.18/0.49 cnf(i_0_1036, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)=X3|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_759, 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))).
% 0.18/0.49 cnf(i_0_974, 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))).
% 0.18/0.49 cnf(i_0_694, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 0.18/0.49 cnf(i_0_987, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_Oliftn(X4,X3,c_HOL_Ozero__class_Ozero(tc_nat))),X4)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),c_Lambda_Oliftn(X4,X3,c_HOL_Ozero__class_Ozero(tc_nat))),X4))=hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),c_Lambda_Oliftn(X4,X3,c_HOL_Ozero__class_Ozero(tc_nat))),X4))).
% 0.18/0.49 cnf(i_0_1002, 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))).
% 0.18/0.49 cnf(i_0_907, plain, (c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X1))=X1|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X1)),v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X1))),v_sko__InductTermi__XIT__Xcases__5(X1)),v_sko__InductTermi__XIT__Xcases__6(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_820, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X1)),v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X1))),v_sko__InductTermi__XIT__Xcases__5(X1)),v_sko__InductTermi__XIT__Xcases__6(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_994, plain, (X4=c_List_Olist_ONil(tc_Lambda_OdB)|c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X1,X2,X3,X4),tc_Lambda_OdB,tc_Lambda_OdB)=X1|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_915, 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)))).
% 0.18/0.49 cnf(i_0_976, 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))).
% 0.18/0.49 cnf(i_0_1031, 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))).
% 0.18/0.49 cnf(i_0_1001, plain, (hAPP(hAPP(X1,X2),c_List_Ofoldl(X1,X3,X4,X5,X5))=c_List_Ofoldl(X1,X2,X4,X5,X5)|~c_OrderedGroup_Omonoid__add(X3,X1,X5))).
% 0.18/0.49 cnf(i_0_998, plain, (c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X5,X5)=hAPP(hAPP(X1,X2),c_List_Ofoldl(X1,X3,X4,X5,X5))|~c_OrderedGroup_Osemigroup__add(X1,X5))).
% 0.18/0.49 cnf(i_0_919, plain, (c_List_Ofoldr(X1,c_List_Olist_OCons(X2,X3,X4),X5,X4,X6)=hAPP(hAPP(X1,X2),c_List_Ofoldr(X1,X3,X5,X4,X6)))).
% 0.18/0.49 cnf(i_0_1063, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_1046, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_1000, 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))).
% 0.18/0.49 cnf(i_0_1055, plain, (X2=X4|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_1039, plain, (X2=X4|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_1054, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_1038, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_1006, 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))).
% 0.18/0.49 cnf(i_0_1003, plain, (c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5)=c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5))).
% 0.18/0.49 cnf(i_0_752, plain, (c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X5,X4,X6),X4,X6)=c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6))).
% 0.18/0.49 cnf(i_0_1050, 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))).
% 0.18/0.49 cnf(i_0_952, 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))).
% 0.18/0.49 cnf(i_0_1065, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB))))).
% 0.18/0.49 cnf(i_0_667, plain, (c_Type_Otypings(c_Type_Oshift(X1,X2,X3,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)|~c_Type_Otypings(X1,X4,X5))).
% 0.18/0.49 cnf(i_0_890, plain, (c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X1))=X1|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB)|hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X1)),v_sko__InductTermi__XIT__Xcases__5(X1)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X1),tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_840, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X1)))|c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB)|hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X1)),v_sko__InductTermi__XIT__Xcases__5(X1)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X1),tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_841, plain, (c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X1))=X1|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X1)),v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X1)),v_sko__InductTermi__XIT__Xcases__5(X1)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X1),tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_1010, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X1)),v_sko__InductTermi__XIT__Xcases__1(X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X1)))|hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X1)),v_sko__InductTermi__XIT__Xcases__5(X1)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X1),tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.18/0.49 cnf(i_0_989, plain, (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB)|~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB)|~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB))).
% 0.18/0.49 cnf(i_0_920, plain, (hBOOL(hAPP(X1,hAPP(X4,X5)))|~hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X3,X4,c_Lambda_OdB_OAbs(X5),t_a))))).
% 0.18/0.49 cnf(i_0_921, plain, (hBOOL(hAPP(X1,hAPP(X4,X5)))|~hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X3,X4,c_Lambda_OdB_OAbs(X5),t_a))))).
% 0.18/0.49 cnf(i_0_1015, plain, (hBOOL(hAPP(X1,hAPP(X2,X5)))|~hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X3,X4,c_Lambda_OdB_OVar(X5),t_a))))).
% 0.18/0.49 cnf(i_0_1016, plain, (hBOOL(hAPP(X1,hAPP(X2,X5)))|~hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X3,X4,c_Lambda_OdB_OVar(X5),t_a))))).
% 0.18/0.49 cnf(i_0_1045, 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))).
% 0.18/0.49 cnf(i_0_1007, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X1)))|~hBOOL(hAPP(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X1)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X1),tc_Lambda_OdB,tc_Lambda_OdB))))).
% 0.18/0.49 cnf(i_0_1005, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,c_ListApplication_Osko__ListApplication__Xlem__1__3(X1)))|~hBOOL(hAPP(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X1)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X1),tc_Lambda_OdB,tc_Lambda_OdB))))).
% 0.18/0.49 cnf(i_0_979, plain, (hBOOL(hAPP(X1,hAPP(hAPP(X3,X5),X6)))|~hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X3,X4,hAPP(hAPP(c_Lambda_OdB_OApp,X5),X6),t_a))))).
% 0.18/0.49 cnf(i_0_980, plain, (hBOOL(hAPP(X1,hAPP(hAPP(X3,X5),X6)))|~hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X3,X4,hAPP(hAPP(c_Lambda_OdB_OApp,X5),X6),t_a))))).
% 0.18/0.49 cnf(i_0_983, plain, (hAPP(hAPP(hAPP(hAPP(X2,X4),X5),c_Lambda_OdB_OdB__rec(X1,X2,X3,X4,X6)),c_Lambda_OdB_OdB__rec(X1,X2,X3,X5,X6))=c_Lambda_OdB_OdB__rec(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),X6))).
% 0.18/0.49 cnf(i_0_778, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X2,X7))).
% 0.18/0.49 cnf(i_0_797, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X2,X7))).
% 0.18/0.49 cnf(i_0_798, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X3,X6,X7))).
% 0.18/0.49 cnf(i_0_782, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X2,X6,X7))).
% 0.18/0.49 cnf(i_0_803, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X2,X6,X7))).
% 0.18/0.49 cnf(i_0_796, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X3,X7))).
% 0.18/0.49 cnf(i_0_779, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X2,X6,X7))).
% 0.18/0.49 cnf(i_0_799, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X2,X6,X7))).
% 0.18/0.49 cnf(i_0_802, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X3,X6,X7))).
% 0.18/0.49 cnf(i_0_973, plain, (hAPP(hAPP(X1,X2),c_HOL_Ozero__class_Ozero(tc_nat))=X3|~c_Groebner__Basis_Ogb__semiring(X4,X5,X1,X6,X3,X7))).
% 0.18/0.49 cnf(i_0_611, plain, (hAPP(hAPP(X1,X2),c_HOL_Oone__class_Oone(tc_nat))=X2|~c_Groebner__Basis_Ogb__semiring(X3,X4,X1,X5,X6,X7))).
% 0.18/0.49 cnf(i_0_776, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X7,X8))).
% 0.18/0.49 cnf(i_0_801, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X7,X8))).
% 0.18/0.49 cnf(i_0_780, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X6,X7,X8))).
% 0.18/0.49 cnf(i_0_784, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X6,X7,X8))).
% 0.18/0.49 cnf(i_0_804, 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))).
% 0.18/0.49 cnf(i_0_789, 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))).
% 0.18/0.49 cnf(i_0_786, 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))).
% 0.18/0.49 cnf(i_0_805, 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))).
% 0.18/0.49 cnf(i_0_777, 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))).
% 0.18/0.49 cnf(i_0_790, 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))).
% 0.18/0.49 cnf(i_0_781, 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))).
% 0.18/0.49 cnf(i_0_783, 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))).
% 0.18/0.49 cnf(i_0_791, 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))).
% 0.18/0.49 cnf(i_0_787, 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))).
% 0.18/0.49 cnf(i_0_806, 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))).
% 0.18/0.49 cnf(i_0_792, 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))).
% 0.18/0.49 cnf(i_0_785, 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))).
% 0.18/0.49 cnf(i_0_775, plain, (hAPP(hAPP(X3,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X2),X5))=hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X4),X5))|~c_Groebner__Basis_Ogb__semiring(X3,X1,X6,X7,X8,X9))).
% 0.18/0.49 cnf(i_0_756, 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))).
% 0.18/0.49 cnf(i_0_774, plain, (hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5)|~c_Groebner__Basis_Ogb__semiring(X6,X2,X1,X7,X8,X9))).
% 0.18/0.49 cnf(i_0_800, plain, (hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5)|~c_Groebner__Basis_Ogb__semiring(X2,X1,X6,X7,X8,X9))).
% 0.18/0.49 cnf(i_0_807, 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))).
% 0.18/0.49 cnf(i_0_794, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X4),X5)))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X7,X8,X9,X10))).
% 0.18/0.49 cnf(i_0_795, 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))).
% 0.18/0.49 cnf(i_0_788, 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))).
% 0.18/0.49 cnf(i_0_793, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,X4),hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X5))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X7,X8,X9,X10))).
% 0.18/0.49 cnf(i_0_912, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,X1),X3),c_List_Omap(c_COMBC(c_Lambda_Olift,X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2,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,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))).
% 0.18/0.49 cnf(i_0_1051, 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,X2))|~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))))).
% 0.18/0.49 cnf(i_0_1040, 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)))).
% 0.18/0.49 cnf(i_0_990, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),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_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)))).
% 0.18/0.49 cnf(i_0_991, 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))).
% 0.18/0.49 cnf(i_0_669, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X1)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X1),tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X1)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(X1),tc_Lambda_OdB,tc_Lambda_OdB))))).
% 0.18/0.49 cnf(i_0_670, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X1)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X1),tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(hAPP(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(X1)),c_ListApplication_Osko__ListApplication__Xlem__1__4(X1),tc_Lambda_OdB,tc_Lambda_OdB))))).
% 0.18/0.49 cnf(i_0_1009, 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)))).
% 0.18/0.49 cnf(i_0_1008, plain, (c_Type_Otypings(X1,X2,c_Type_Osko__Type__Xvar__app__types__1__1(X3,X4,X1,X2))|~c_Type_Otypings(X1,X6,X7)|~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_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))).
% 0.18/0.49 cnf(i_0_668, plain, (c_Type_Otypings(X1,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),X5)|~c_Type_Otyping(X1,X2,X6)|~c_Type_Otypings(c_Type_Oshift(X1,X3,X6,tc_Type_Otype),X4,X5))).
% 0.18/0.49 cnf(i_0_1026, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X2,X3,X1),tc_Lambda_OdB,tc_Lambda_OdB)=X1|~hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)),X1)))).
% 0.18/0.49 cnf(i_0_1066, negated_conjecture, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))))).
% 0.18/0.49 cnf(i_0_1004, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X3),X4),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X3,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X4,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2,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,X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3),X4))).
% 0.18/0.49 cnf(i_0_1069, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))))).
% 0.18/0.49 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.18/0.49 # Begin printing tableau
% 0.18/0.49 # Found 2 steps
% 0.18/0.49 cnf(i_0_1069, negated_conjecture, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))), inference(start_rule)).
% 0.18/0.49 cnf(i_0_1099, plain, (~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))), inference(closure_rule, [i_0_1066])).
% 0.18/0.49 # End printing tableau
% 0.18/0.49 # SZS output end
% 0.18/0.49 # Branches closed with saturation will be marked with an "s"
% 0.18/0.49 # NOT attempting initial tableau saturation
% 0.18/0.49 # 1 start rule tableaux created.
% 0.18/0.49 # 409 extension rule candidate clauses
% 0.18/0.49 # 139 unit axiom clauses
% 0.18/0.49
% 0.18/0.49 # Proof search is over...
% 0.18/0.49 # Freeing feature tree
%------------------------------------------------------------------------------