TSTP Solution File: LCL856-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 : 300s
% DateTime : Sat Jul 23 06:10:14 EDT 2022
% Result : Unsatisfiable 41.10s 41.29s
% Output : Refutation 41.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 22:25:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 41.10/41.29 GeoParameters:
% 41.10/41.29
% 41.10/41.29 tptp_input = 1
% 41.10/41.29 tptp_output = 0
% 41.10/41.29 nonempty = 1
% 41.10/41.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.10/41.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 41.10/41.29
% 41.10/41.29
% 41.10/41.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.10/41.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.10/41.29
% 41.10/41.29 RuleSystem INPUT:
% 41.10/41.29
% 41.10/41.29 Initial Rules:
% 41.10/41.29 #0: input, references = 3, size of lhs = 2:
% 41.10/41.29 P_c_List_Olist_ONil-{F}(V1,V3), c_ListOrder_Ostep1-{F}(V0,V3,V2,V1) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1: input, references = 3, size of lhs = 2:
% 41.10/41.29 P_c_List_Olist_ONil-{F}(V1,V3), c_ListOrder_Ostep1-{F}(V0,V2,V3,V1) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #2: input, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Type_Otype_OFun-{F}(V3,V0,V5), P_c_Type_Otype_OFun-{F}(V2,V1,V5), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #3: input, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Type_Otype_OFun-{F}(V0,V3,V5), P_c_Type_Otype_OFun-{F}(V1,V2,V5), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #4: input, references = 3, size of lhs = 6:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), c_Type_Otyping-{F}(V1,V2,V3), P_hAPP-{F}(V0,V5,V6), P_hAPP-{F}(V6,V2,V7), P_c_Type_Otype_OFun-{F}(V3,V4,V8), c_Type_Otyping-{F}(V1,V5,V8) | c_Type_Otyping-{T}(V1,V7,V4)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #5: input, references = 3, size of lhs = 6:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_OdB_OAbs-{F}(V5,V7), P_c_List_Ofoldl-{F}(V0,V4,V3,V1,V1,V7), V3 == V2 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #6: input, references = 3, size of lhs = 6:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_OdB_OAbs-{F}(V3,V4), P_c_List_Ofoldl-{F}(V0,V4,V2,V1,V1,V5), V4 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #7: input, references = 3, size of lhs = 6:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_List_Ofoldl-{F}(V0,V4,V3,V1,V1,V7), P_c_Lambda_OdB_OAbs-{F}(V5,V7), V3 == V2 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #8: input, references = 3, size of lhs = 6:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_OdB_OAbs-{F}(V3,V4), P_c_List_Ofoldl-{F}(V0,V4,V2,V1,V1,V5), V5 == V4 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #9: input, references = 3, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), c_ListOrder_Ostep1-{F}(V3,V5,V4,V1), P_c_List_Ofoldl-{F}(V0,V6,V5,V1,V1,V7), P_hAPP-{F}(V3,V7,V8), P_c_List_Ofoldl-{F}(V0,V6,V4,V1,V1,V9), P_hAPP-{F}(V8,V9,V10) | hBOOL-{T}(V10)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #10: input, references = 3, size of lhs = 8:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), c_Type_Otyping-{F}(V7,V5,V6), P_c_Type_Oshift-{F}(V7,V8,V9,V4,V10), P_c_Lambda_Olift-{F}(V5,V8,V11) | c_Type_Otyping-{T}(V10,V11,V6)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #11: input, references = 3, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), c_Type_Otyping-{F}(V6,V7,V5), P_c_Type_Oshift-{F}(V6,V8,V5,V4,V11), P_c_Lambda_Osubst-{F}(V10,V7,V8,V12), c_Type_Otyping-{F}(V11,V10,V9) | c_Type_Otyping-{T}(V6,V12,V9)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #12: input, references = 3, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1-{F}(V6,V5,V7,V8), P_c_Lambda_OdB_OVar-{F}(V6,V9), P_c_List_Ofoldl-{F}(V0,V9,V5,V1,V1,V10), P_hAPP-{F}(V3,V10,V11), P_hAPP-{F}(V11,V7,V12), hBOOL-{F}(V12) | c_ListOrder_Ostep1-{T}(V3,V5,V8,V1)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #13: input, references = 3, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_hAPP-{F}(V0,V5,V7), P_hAPP-{F}(V7,V6,V8), P_c_List_Ofoldl-{F}(V0,V8,V2,V1,V1,V9), V8 == V9 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #14: input, references = 3, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_hAPP-{F}(V0,V5,V8), P_hAPP-{F}(V8,V6,V10), P_c_List_Ofoldl-{F}(V0,V7,V2,V1,V1,V10), V10 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #15: input, references = 3, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_Lambda_OdB_OAbs-{F}(V8,V11), P_c_Type_Otype_OFun-{F}(V10,V9,V12), P_c_Type_Oshift-{F}(V7,V6,V10,V4,V13), c_Type_Otyping-{F}(V13,V8,V9) | c_Type_Otyping-{T}(V7,V11,V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #16: input, references = 4, size of lhs = 10:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_Type_Oshift-{F}(V9,V10,V8,V7,V11), P_hAPP-{F}(V11,V10,V12), V12 == V8 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #17: input, references = 4, size of lhs = 10:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_List_Olist_ONil-{F}(V10,V11), P_c_List_Ofoldl-{F}(V8,V9,V11,V7,V10,V12), V12 == V9 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #18: input, references = 4, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), #-{F} V8, P_c_List_Olist_ONil-{F}(V7,V9) | c_List_Olistsp-{T}(V8,V9,V7)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #19: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_hAPP-{F}(V0,V10,V11), P_hAPP-{F}(V11,V9,V13), P_c_List_Ofoldl-{F}(V0,V8,V7,V1,V1,V13), P_c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1-{F}(V10,V9,V8,V7,V14), P_c_List_Ofoldl-{F}(V0,V8,V14,V1,V1,V15), V7 == V2, V10 == V15 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #20: input, references = 3, size of lhs = 10:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_Lambda_OdB_OVar-{F}(V8,V11), P_c_List_Ofoldl-{F}(V0,V9,V7,V1,V1,V11), V7 == V2 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #21: input, references = 3, size of lhs = 10:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_Lambda_OdB_OVar-{F}(V7,V8), P_c_List_Ofoldl-{F}(V0,V8,V2,V1,V1,V9), V8 == V9 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #22: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_hAPP-{F}(V7,V8,V9), hBOOL-{F}(V9), P_hAPP-{F}(V7,V10,V11), hBOOL-{F}(V11), P_c_Lambda_Osubst-{F}(V10,V8,V12,V13), P_hAPP-{F}(V7,V13,V14), P_c_Type_Oshift-{F}(V15,V12,V16,V4,V17), c_Type_Otyping-{F}(V15,V8,V16), c_Type_Otyping-{F}(V17,V10,V18) | hBOOL-{T}(V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #23: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_c_Lambda_OdB_OVar-{F}(V9,V11), P_c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1-{F}(V9,V8,V10,V12), P_c_List_Ofoldl-{F}(V0,V11,V12,V1,V1,V13), P_c_List_Ofoldl-{F}(V0,V11,V8,V1,V1,V14), P_hAPP-{F}(V3,V14,V15), P_hAPP-{F}(V15,V10,V16), hBOOL-{F}(V16), V10 == V13 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #24: input, references = 4, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), c_List_Olistsp-{F}(V7,V8,V1), P_c_Lambda_OdB_OVar-{F}(V9,V10), P_c_List_Ofoldl-{F}(V0,V10,V8,V1,V1,V11), P_hAPP-{F}(V7,V11,V12) | hBOOL-{T}(V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #25: input, references = 3, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_hAPP-{F}(V0,V8,V11), P_hAPP-{F}(V11,V9,V13), P_c_Lambda_OdB_OVar-{F}(V10,V13) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #26: input, references = 4, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_c_Transitive__Closure_Ortranclp-{F}(V8,V9,V10), P_c_Transitive__Closure_Ortranclp-{F}(V10,V9,V11), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #27: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_c_Lambda_OdB_OAbs-{F}(V8,V12), P_hAPP-{F}(V0,V12,V13), P_hAPP-{F}(V13,V9,V16), P_c_Lambda_OdB_OVar-{F}(V11,V15), P_c_List_Ofoldl-{F}(V0,V15,V10,V1,V1,V16) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #28: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_hAPP-{F}(V10,V9,V12), P_hAPP-{F}(V12,V11,V13), P_tc_fun-{F}(V15,V8,V17), P_tc_fun-{F}(V16,V17,V18), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V10,V14,V18,V19), P_hAPP-{F}(V19,V9,V20), P_hAPP-{F}(V20,V11,V21), hBOOL-{F}(V21) | hBOOL-{T}(V13)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #29: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_hAPP-{F}(V11,V9,V12), P_hAPP-{F}(V12,V10,V13), P_tc_fun-{F}(V15,V8,V17), P_tc_fun-{F}(V16,V17,V18), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V11,V18,V19), P_hAPP-{F}(V19,V9,V20), P_hAPP-{F}(V20,V10,V21), hBOOL-{F}(V21) | hBOOL-{T}(V13)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #30: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_hAPP-{F}(V7,V9,V10), P_hAPP-{F}(V0,V9,V11), hBOOL-{F}(V10), P_c_Lambda_OdB_OVar-{F}(V12,V13), P_hAPP-{F}(V11,V13,V14), P_hAPP-{F}(V7,V14,V15) | hBOOL-{T}(V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #31: input, references = 4, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_Olift-{F}(V10,V11,V12), P_c_Lambda_Osubst-{F}(V12,V9,V11,V13), V13 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #32: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_hAPP-{F}(V9,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_c_Transitive__Closure_Otranclp-{F}(V9,V14,V15), P_hAPP-{F}(V15,V10,V16), P_hAPP-{F}(V16,V11,V17) | hBOOL-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #33: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), class_Lattices_Olattice-{F}(V9), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V10,V9,V12), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V12,V9,V13), V13 == V12 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #34: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), class_Lattices_Oupper__semilattice-{F}(V9), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V10,V9,V12), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V12,V9,V13), V13 == V12 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #35: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), class_Lattices_Olattice-{F}(V9), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V10,V9,V12), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V10,V11,V9,V13), V12 == V13 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #36: input, references = 4, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), class_Lattices_Oupper__semilattice-{F}(V9), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V10,V9,V12), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V10,V11,V9,V13), V12 == V13 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #37: input, references = 3, size of lhs = 22:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V9,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_hAPP-{F}(V0,V15,V16), P_hAPP-{F}(V16,V10,V17), P_hAPP-{F}(V9,V17,V18), P_hAPP-{F}(V0,V14,V19), P_hAPP-{F}(V19,V11,V20), P_hAPP-{F}(V18,V20,V21), P_hAPP-{F}(V9,V15,V22), P_hAPP-{F}(V22,V14,V23), hBOOL-{F}(V23) | hBOOL-{T}(V21)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #38: input, references = 4, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V10,V11), P_hAPP-{F}(V7,V11,V12), P_hAPP-{F}(V7,V10,V13), hBOOL-{F}(V13) | hBOOL-{T}(V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #39: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_List_Ofoldl-{F}(V0,V10,V12,V1,V1,V14), P_c_List_Ofoldl-{F}(V0,V11,V12,V1,V1,V14), V10 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #40: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V9,V10,V12), P_hAPP-{F}(V12,V11,V13), P_hAPP-{F}(V0,V10,V14), P_hAPP-{F}(V0,V11,V15), hBOOL-{F}(V13), P_hAPP-{F}(V14,V16,V17), P_hAPP-{F}(V9,V17,V18), P_hAPP-{F}(V15,V16,V19), P_hAPP-{F}(V18,V19,V20) | hBOOL-{T}(V20)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #41: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V9,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_hAPP-{F}(V0,V14,V15), P_hAPP-{F}(V15,V10,V16), P_hAPP-{F}(V9,V16,V17), P_hAPP-{F}(V15,V11,V18), P_hAPP-{F}(V17,V18,V19) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #42: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V10,V14), P_c_List_Ofoldl-{F}(V0,V11,V13,V1,V1,V14), V14 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #43: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V11,V12,V10,V14), V13 == V14 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #44: input, references = 4, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olower__semilattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V11,V12,V10,V14), V13 == V14 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #45: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olattice-{F}(V10), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V12,V10,V14), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V11,V10,V15), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V11,V10,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V16,V10,V17), V15 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #46: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olattice-{F}(V10), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V11,V10,V14), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V14,V10,V15), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V11,V10,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V16,V10,V17), V15 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #47: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Oupper__semilattice-{F}(V10), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V11,V10,V14), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V14,V10,V15), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V11,V10,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V16,V10,V17), V15 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #48: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Oupper__semilattice-{F}(V10), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V12,V10,V14), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V11,V10,V15), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V11,V10,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V16,V10,V17), V15 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #49: input, references = 5, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Oupper__semilattice-{F}(V10), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V11,V10,V12), V12 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #50: input, references = 4, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Odistrib__lattice-{F}(V10), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V11,V10,V14), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V13,V10,V15), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V13,V10,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V11,V13,V10,V17), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V16,V17,V10,V18), V15 == V18 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #51: input, references = 4, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Odistrib__lattice-{F}(V10), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V11,V10,V14), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V14,V10,V15), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V12,V10,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V11,V10,V17), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V16,V17,V10,V18), V15 == V18 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #52: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V10,V12), P_hAPP-{F}(V9,V12,V13), P_c_Lambda_OdB_OAbs-{F}(V11,V14), P_hAPP-{F}(V13,V14,V15), P_hAPP-{F}(V9,V10,V16), P_hAPP-{F}(V16,V11,V17), hBOOL-{F}(V17) | hBOOL-{T}(V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #53: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_hAPP-{F}(V16,V15,V17), P_hAPP-{F}(V17,V11,V18), hBOOL-{F}(V18), P_c_Predicate_Opred__comp-{F}(V16,V10,V21,V20,V19,V22), P_hAPP-{F}(V22,V15,V23), P_hAPP-{F}(V23,V12,V24) | hBOOL-{T}(V24)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #54: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Ortranclp-{F}(V10,V11,V14), P_hAPP-{F}(V14,V12,V15), P_hAPP-{F}(V15,V13,V16), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V17), hBOOL-{F}(V16), P_hAPP-{F}(V17,V18,V19), P_hAPP-{F}(V19,V13,V20), P_hAPP-{F}(V19,V12,V21), hBOOL-{F}(V21) | hBOOL-{T}(V20)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #55: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V14), P_hAPP-{F}(V14,V12,V15), P_hAPP-{F}(V15,V13,V16), P_c_Transitive__Closure_Ortranclp-{F}(V10,V11,V17), hBOOL-{F}(V16), P_hAPP-{F}(V14,V18,V19), P_hAPP-{F}(V19,V13,V20), P_hAPP-{F}(V17,V18,V21), P_hAPP-{F}(V21,V12,V22), hBOOL-{F}(V22) | hBOOL-{T}(V20)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #56: input, references = 4, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Ortranclp-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), P_hAPP-{F}(V14,V12,V15) | hBOOL-{T}(V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #57: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Ortranclp-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), P_hAPP-{F}(V14,V12,V15) | hBOOL-{T}(V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #58: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Ortranclp-{F}(V10,V11,V14), P_hAPP-{F}(V14,V12,V15), P_hAPP-{F}(V15,V13,V16), hBOOL-{F}(V16), P_hAPP-{F}(V14,V17,V18), P_hAPP-{F}(V18,V13,V19), P_hAPP-{F}(V18,V12,V20), hBOOL-{F}(V20) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #59: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V3,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_c_Lambda_Osubst-{F}(V15,V10,V14,V16), P_hAPP-{F}(V9,V16,V17), P_c_Lambda_Osubst-{F}(V15,V11,V14,V18), P_hAPP-{F}(V17,V18,V19) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #60: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_c_Transitive__Closure_Otranclp-{F}(V10,V16,V17), P_hAPP-{F}(V17,V11,V18), P_hAPP-{F}(V18,V15,V19), P_c_Transitive__Closure_Ortranclp-{F}(V10,V16,V20), P_hAPP-{F}(V20,V12,V21), P_hAPP-{F}(V21,V15,V22), hBOOL-{F}(V22) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #61: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_c_Transitive__Closure_Otranclp-{F}(V10,V16,V17), P_hAPP-{F}(V17,V15,V18), P_hAPP-{F}(V18,V12,V19), P_c_Transitive__Closure_Ortranclp-{F}(V10,V16,V20), P_hAPP-{F}(V20,V15,V21), P_hAPP-{F}(V21,V11,V22), hBOOL-{F}(V22) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #62: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V0,V10,V13), P_hAPP-{F}(V13,V11,V14), P_c_Lambda_Olift-{F}(V14,V12,V15), P_c_Lambda_Olift-{F}(V10,V12,V16), P_hAPP-{F}(V0,V16,V17), P_c_Lambda_Olift-{F}(V11,V12,V18), P_hAPP-{F}(V17,V18,V19), V15 == V19 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #63: input, references = 3, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V12), c_Wellfounded_OwfP-{F}(V10,V11) | c_Wellfounded_OwfP-{T}(V12,V11)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #64: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Ortranclp-{F}(V10,V11,V14), P_hAPP-{F}(V14,V12,V15), P_hAPP-{F}(V15,V13,V16), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V17), P_hAPP-{F}(V17,V12,V18), P_hAPP-{F}(V18,V13,V19), hBOOL-{F}(V19) | hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #65: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V9,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_c_Lambda_Osubst-{F}(V10,V15,V14,V16), P_hAPP-{F}(V9,V16,V17), P_c_Lambda_Osubst-{F}(V11,V15,V14,V18), P_hAPP-{F}(V17,V18,V19) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #66: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V9,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_c_Lambda_Osubst-{F}(V15,V10,V14,V16), P_hAPP-{F}(V9,V16,V17), P_c_Lambda_Osubst-{F}(V15,V11,V14,V18), P_hAPP-{F}(V17,V18,V19) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #67: input, references = 3, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V10,V11), P_hAPP-{F}(V7,V11,V12) | hBOOL-{T}(V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #68: input, references = 4, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V10,V13), P_c_Lambda_OdB_OAbs-{F}(V11,V13) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #69: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_c_Transitive__Closure_Ortranclp-{F}(V10,V15,V16), P_hAPP-{F}(V16,V11,V17), P_hAPP-{F}(V17,V12,V18) | hBOOL-{T}(V18)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #70: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V12,V10,V13), P_hAPP-{F}(V13,V11,V14), P_hAPP-{F}(V15,V10,V16), P_hAPP-{F}(V16,V11,V17), P_tc_fun-{F}(V18,V8,V20), P_tc_fun-{F}(V19,V20,V21), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V15,V12,V21,V22), P_hAPP-{F}(V22,V10,V23), P_hAPP-{F}(V23,V11,V24), hBOOL-{F}(V24) | hBOOL-{T}(V14), hBOOL-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #71: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V12,V10,V13), P_hAPP-{F}(V13,V11,V14), hBOOL-{F}(V14), P_tc_fun-{F}(V16,V8,V18), P_tc_fun-{F}(V17,V18,V19), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V15,V12,V19,V20), P_hAPP-{F}(V20,V10,V21), P_hAPP-{F}(V21,V11,V22) | hBOOL-{T}(V22)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #72: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V11,V10,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_tc_fun-{F}(V16,V8,V18), P_tc_fun-{F}(V17,V18,V19), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V15,V19,V20), P_hAPP-{F}(V20,V10,V21), P_hAPP-{F}(V21,V12,V22) | hBOOL-{T}(V22)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #73: input, references = 3, size of lhs = 21:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V7,V10,V11), hBOOL-{F}(V11), P_c_Lambda_OdB_OAbs-{F}(V13,V14), P_hAPP-{F}(V0,V14,V15), P_hAPP-{F}(V15,V10,V16), P_c_List_Ofoldl-{F}(V0,V16,V12,V1,V1,V17), P_hAPP-{F}(V7,V17,V18), P_c_Lambda_Osubst-{F}(V13,V10,V6,V19), P_c_List_Ofoldl-{F}(V0,V19,V12,V1,V1,V20), P_hAPP-{F}(V7,V20,V21), hBOOL-{F}(V21) | hBOOL-{T}(V18)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #74: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V7,V10,V11), hBOOL-{F}(V11), P_c_Lambda_Olift-{F}(V10,V12,V13), P_hAPP-{F}(V7,V13,V14) | hBOOL-{T}(V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #75: input, references = 4, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V12,V14), P_c_List_Ofoldl-{F}(V0,V14,V13,V1,V1,V17), P_c_Lambda_OdB_OAbs-{F}(V10,V16), P_c_List_Ofoldl-{F}(V0,V16,V11,V1,V1,V17) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #76: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V12,V10,V14), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V11,V10,V15), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V16,V10,V17), V15 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #77: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V14), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V14,V10,V15), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V11,V10,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V16,V10,V17), V15 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #78: input, references = 4, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olower__semilattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V14), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V14,V10,V15), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V11,V10,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V16,V10,V17), V15 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #79: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olower__semilattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V12,V10,V14), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V11,V10,V15), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V16,V10,V17), V15 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #80: input, references = 4, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V11,V13), P_c_Lambda_OdB_OAbs-{F}(V10,V13), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #81: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V12,V15), P_hAPP-{F}(V0,V10,V14), P_hAPP-{F}(V14,V11,V15) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #82: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V11,V14), P_c_List_Ofoldl-{F}(V0,V10,V13,V1,V1,V14), V14 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #83: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V3,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_c_List_Ofoldl-{F}(V0,V10,V14,V1,V1,V15), P_hAPP-{F}(V3,V15,V16), P_c_List_Ofoldl-{F}(V0,V11,V14,V1,V1,V17), P_hAPP-{F}(V16,V17,V18) | hBOOL-{T}(V18)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #84: input, references = 4, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V13,V10,V14), V14 == V12 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #85: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V10,V12), P_hAPP-{F}(V0,V12,V13), P_hAPP-{F}(V13,V11,V14), P_hAPP-{F}(V3,V14,V15), P_c_Lambda_Osubst-{F}(V10,V11,V6,V16), P_hAPP-{F}(V15,V16,V17) | hBOOL-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #86: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V9,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_c_Lambda_Olift-{F}(V10,V14,V15), P_hAPP-{F}(V9,V15,V16), P_c_Lambda_Olift-{F}(V11,V14,V17), P_hAPP-{F}(V16,V17,V18) | hBOOL-{T}(V18)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #87: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V12,V14), P_c_List_Ofoldl-{F}(V0,V14,V13,V1,V1,V15), c_Type_Otyping-{F}(V11,V15,V10), c_Type_Otyping-{F}(V11,V15,V16), V10 == V16 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #88: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V0,V12,V14), P_hAPP-{F}(V14,V11,V17), P_hAPP-{F}(V0,V13,V16), P_hAPP-{F}(V16,V10,V17), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #89: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V0,V11,V12), P_hAPP-{F}(V0,V10,V13), P_hAPP-{F}(V12,V14,V17), P_hAPP-{F}(V13,V15,V17), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #90: input, references = 4, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olattice-{F}(V10), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V11,V10,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V13,V10,V14), V14 == V12 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #91: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V13,V14), P_c_List_Ofoldl-{F}(V0,V14,V11,V1,V1,V17), P_c_Lambda_OdB_OAbs-{F}(V12,V16), P_c_List_Ofoldl-{F}(V0,V16,V10,V1,V1,V17), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #92: input, references = 4, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V10,V12), P_c_Lambda_OdB_OAbs-{F}(V11,V13), P_c_List_Ofoldl-{F}(V0,V12,V14,V1,V1,V17), P_c_List_Ofoldl-{F}(V0,V13,V15,V1,V1,V17), V10 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #93: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V10,V12), P_c_List_Ofoldl-{F}(V0,V11,V13,V1,V1,V12), V11 == V12 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #94: input, references = 5, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_fequal-{F}(V10,V12), P_tc_fun-{F}(V10,V8,V13), P_tc_fun-{F}(V10,V13,V14), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V12,V14,V15), P_c_Transitive__Closure_Ortranclp-{F}(V15,V10,V16), P_c_Transitive__Closure_Ortranclp-{F}(V11,V10,V17), V16 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #95: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Otranclp-{F}(V13,V12,V14), P_hAPP-{F}(V14,V10,V15), P_hAPP-{F}(V15,V11,V16), P_c_Transitive__Closure_Ortranclp-{F}(V13,V12,V17), P_hAPP-{F}(V17,V10,V18), P_hAPP-{F}(V18,V11,V19), hBOOL-{F}(V19), V10 == V11 | hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #96: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Otranclp-{F}(V12,V13,V14), P_hAPP-{F}(V14,V10,V15), P_hAPP-{F}(V15,V11,V16), P_c_Transitive__Closure_Ortranclp-{F}(V12,V13,V17), P_hAPP-{F}(V17,V10,V18), P_hAPP-{F}(V18,V11,V19), hBOOL-{F}(V19), V10 == V11 | hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #97: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V9,V10,V12), P_hAPP-{F}(V12,V11,V13), hBOOL-{F}(V13), P_c_List_Ofoldl-{F}(V0,V10,V14,V1,V1,V15), P_hAPP-{F}(V9,V15,V16), P_c_List_Ofoldl-{F}(V0,V11,V14,V1,V1,V17), P_hAPP-{F}(V16,V17,V18) | hBOOL-{T}(V18)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #98: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Ortranclp-{F}(V11,V10,V13), P_c_Transitive__Closure_Ortranclp-{F}(V12,V10,V14), P_tc_fun-{F}(V10,V8,V15), P_tc_fun-{F}(V10,V15,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V14,V16,V17), P_c_Transitive__Closure_Ortranclp-{F}(V17,V10,V18), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V12,V16,V19), P_c_Transitive__Closure_Ortranclp-{F}(V19,V10,V20), V18 == V20 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #99: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Odistrib__lattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V14), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V13,V10,V15), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V13,V10,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V11,V13,V10,V17), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V16,V17,V10,V18), V15 == V18 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #100: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Odistrib__lattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V14), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V14,V10,V15), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V12,V10,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V11,V10,V17), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V16,V17,V10,V18), V15 == V18 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #101: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V13,V10,V14), V14 == V13 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #102: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olower__semilattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V11,V10,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V13,V10,V14), V14 == V13 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #103: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V7,V10,V11), hBOOL-{F}(V11), P_c_Lambda_OdB_OVar-{F}(V13,V14), P_c_Lambda_Osubst-{F}(V10,V14,V12,V15), P_hAPP-{F}(V7,V15,V16) | hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #104: input, references = 4, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V12), P_c_fequal-{F}(V11,V13), P_tc_fun-{F}(V11,V8,V14), P_tc_fun-{F}(V11,V14,V15), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V13,V15,V16), P_c_Transitive__Closure_Ortranclp-{F}(V10,V11,V17), V16 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #105: input, references = 4, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), class_Lattices_Olower__semilattice-{F}(V10), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V11,V11,V10,V12), V12 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #106: input, references = 4, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V11,V12), P_c_Lambda_Osubst-{F}(V12,V10,V11,V13), V13 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #107: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V12,V14), P_c_List_Ofoldl-{F}(V0,V14,V11,V1,V1,V17), P_c_Lambda_OdB_OVar-{F}(V13,V16), P_c_List_Ofoldl-{F}(V0,V16,V10,V1,V1,V17), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #108: input, references = 4, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V11,V12), P_c_Lambda_OdB_OVar-{F}(V10,V13), P_c_List_Ofoldl-{F}(V0,V12,V14,V1,V1,V17), P_c_List_Ofoldl-{F}(V0,V13,V15,V1,V1,V17), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #109: input, references = 4, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V10,V15), P_hAPP-{F}(V0,V11,V14), P_hAPP-{F}(V14,V12,V15) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #110: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V14), P_hAPP-{F}(V14,V12,V15), P_hAPP-{F}(V15,V13,V16), hBOOL-{F}(V16), P_hAPP-{F}(V14,V17,V18), P_hAPP-{F}(V18,V13,V19), P_hAPP-{F}(V18,V12,V20), hBOOL-{F}(V20) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #111: input, references = 4, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V10,V13), P_c_Lambda_OdB_OVar-{F}(V11,V13), V10 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #112: input, references = 4, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V0,V11,V13), P_hAPP-{F}(V13,V12,V15), P_c_Lambda_OdB_OAbs-{F}(V10,V15) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #113: input, references = 4, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OAbs-{F}(V11,V13), P_c_Lambda_OdB_OVar-{F}(V10,V13) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #114: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V0,V11,V14), P_hAPP-{F}(V14,V12,V15), P_c_Lambda_Osubst-{F}(V15,V10,V13,V16), P_c_Lambda_Osubst-{F}(V11,V10,V13,V17), P_hAPP-{F}(V0,V17,V18), P_c_Lambda_Osubst-{F}(V12,V10,V13,V19), P_hAPP-{F}(V18,V19,V20), V16 == V20 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #115: input, references = 3, size of lhs = 21:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V12,V10,V13), P_hAPP-{F}(V13,V11,V14), hBOOL-{F}(V14), P_hAPP-{F}(V15,V10,V16), P_hAPP-{F}(V16,V11,V17), hBOOL-{F}(V17), P_tc_fun-{F}(V18,V8,V20), P_tc_fun-{F}(V19,V20,V21), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V15,V12,V21,V22), P_hAPP-{F}(V22,V10,V23), P_hAPP-{F}(V23,V11,V24) | hBOOL-{T}(V24)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #116: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_c_Transitive__Closure_Ortranclp-{F}(V10,V16,V17), P_hAPP-{F}(V17,V11,V18), P_hAPP-{F}(V18,V15,V19), P_hAPP-{F}(V17,V12,V20), P_hAPP-{F}(V20,V15,V21), hBOOL-{F}(V21) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #117: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_c_Transitive__Closure_Ortranclp-{F}(V10,V16,V17), P_hAPP-{F}(V17,V15,V18), P_hAPP-{F}(V18,V12,V19), P_hAPP-{F}(V18,V11,V20), hBOOL-{F}(V20) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #118: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_c_Transitive__Closure_Otranclp-{F}(V10,V16,V17), P_hAPP-{F}(V17,V15,V18), P_hAPP-{F}(V18,V12,V19), P_hAPP-{F}(V18,V11,V20), hBOOL-{F}(V20) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #119: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_c_Transitive__Closure_Otranclp-{F}(V10,V16,V17), P_hAPP-{F}(V17,V11,V18), P_hAPP-{F}(V18,V15,V19), P_hAPP-{F}(V17,V12,V20), P_hAPP-{F}(V20,V15,V21), hBOOL-{F}(V21) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #120: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), c_Wellfounded_Oaccp-{F}(V10,V12,V15) | c_Wellfounded_Oaccp-{T}(V10,V11,V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #121: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V10,V12,V13), P_hAPP-{F}(V13,V11,V14), hBOOL-{F}(V14), c_Wellfounded_Oaccp-{F}(V10,V11,V15) | c_Wellfounded_Oaccp-{T}(V10,V12,V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #122: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V11,V10,V12), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1-{F}(V11,V14,V13,V15), P_hAPP-{F}(V11,V15,V16), hBOOL-{F}(V16), c_Wellfounded_Oaccp-{F}(V14,V10,V13) | hBOOL-{T}(V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #123: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V11,V10,V12), P_hAPP-{F}(V11,V13,V14), P_hAPP-{F}(V16,V10,V17), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1-{F}(V11,V16,V15,V18), P_hAPP-{F}(V17,V18,V19), hBOOL-{F}(V19), c_Wellfounded_Oaccp-{F}(V16,V13,V15) | hBOOL-{T}(V12), hBOOL-{T}(V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #124: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1-{F}(V12,V11,V10,V13), P_hAPP-{F}(V12,V13,V14), P_hAPP-{F}(V14,V11,V15) | hBOOL-{T}(V15), c_Wellfounded_Oaccp-{T}(V12,V11,V10)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #125: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V3,V13,V14), P_hAPP-{F}(V14,V12,V15), hBOOL-{F}(V15), c_Type_Otyping-{F}(V11,V13,V10) | c_Type_Otyping-{T}(V11,V12,V10)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #126: input, references = 3, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), c_Wellfounded_OwfP-{F}(V10,V11), #-{F} V12 | c_Wellfounded_Oaccp-{T}(V10,V12,V11)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #127: input, references = 5, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V10,V11,V12,V13), P_c_Predicate_Oconversep-{F}(V13,V12,V11,V14), V14 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #128: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Lambda_OdB_OVar-{F}(V11,V12), P_hAPP-{F}(V3,V12,V13), P_hAPP-{F}(V13,V10,V14), hBOOL-{F}(V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #129: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1-{F}(V10,V12,V11,V13), P_hAPP-{F}(V10,V13,V14), P_hAPP-{F}(V14,V12,V15) | c_Wellfounded_Oaccp-{T}(V10,V12,V11), hBOOL-{T}(V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #130: input, references = 6, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_fequal-{F}(V10,V11), P_c_Predicate_Oconversep-{F}(V11,V10,V10,V12), V12 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #131: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V14), P_c_Predicate_Oconversep-{F}(V14,V11,V11,V15), P_hAPP-{F}(V15,V12,V16), P_hAPP-{F}(V16,V13,V17), P_c_Predicate_Oconversep-{F}(V10,V11,V11,V18), P_c_Transitive__Closure_Otranclp-{F}(V18,V11,V19), P_hAPP-{F}(V19,V12,V20), P_hAPP-{F}(V20,V13,V21), hBOOL-{F}(V21) | hBOOL-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #132: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V10,V11,V11,V14), P_c_Transitive__Closure_Otranclp-{F}(V14,V11,V15), P_hAPP-{F}(V15,V12,V16), P_hAPP-{F}(V16,V13,V17), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V18), P_c_Predicate_Oconversep-{F}(V18,V11,V11,V19), P_hAPP-{F}(V19,V12,V20), P_hAPP-{F}(V20,V13,V21), hBOOL-{F}(V21) | hBOOL-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #133: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_hAPP-{F}(V11,V12,V13), P_c_Lambda_OdB_OVar-{F}(V12,V14), c_Type_Otyping-{F}(V11,V14,V10), V13 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #134: input, references = 3, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1-{F}(V12,V11,V10,V13), c_Wellfounded_Oaccp-{F}(V12,V13,V10) | c_Wellfounded_Oaccp-{T}(V12,V11,V10)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #135: input, references = 4, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V10,V11,V11,V12), P_c_Transitive__Closure_Otranclp-{F}(V12,V11,V13), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V14), P_c_Predicate_Oconversep-{F}(V14,V11,V11,V15), V13 == V15 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #136: input, references = 3, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_hAPP-{F}(V7,V11,V12), c_Wellfounded_Oaccp-{F}(V10,V11,V1) | hBOOL-{T}(V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #137: input, references = 5, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_hAPP-{F}(V7,V11,V12), hBOOL-{F}(V12) | c_Wellfounded_Oaccp-{T}(V10,V11,V1)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #138: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_c_Transitive__Closure_Ortranclp-{F}(V11,V12,V14), P_hAPP-{F}(V14,V13,V15), P_hAPP-{F}(V15,V16,V17), c_Wellfounded_Oaccp-{F}(V11,V16,V12), hBOOL-{F}(V17) | c_Wellfounded_Oaccp-{T}(V11,V13,V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #139: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_c_Transitive__Closure_Ortranclp-{F}(V11,V12,V14), P_hAPP-{F}(V14,V13,V15), P_hAPP-{F}(V15,V16,V17), hBOOL-{F}(V17), c_Wellfounded_Oaccp-{F}(V11,V16,V12) | c_Wellfounded_Oaccp-{T}(V11,V13,V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #140: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_hAPP-{F}(V3,V11,V13), P_hAPP-{F}(V13,V12,V14), hBOOL-{F}(V14), P_c_Lambda_Osubst-{F}(V11,V16,V15,V17), P_hAPP-{F}(V3,V17,V18), P_c_Lambda_Osubst-{F}(V12,V16,V15,V19), P_hAPP-{F}(V18,V19,V20) | hBOOL-{T}(V20)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #141: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V13,V12,V14), P_v_sko__Wellfounded__Xaccp__Xinducts__1-{F}(V13,V15,V16), P_hAPP-{F}(V13,V16,V17), hBOOL-{F}(V17), c_Wellfounded_Oaccp-{F}(V15,V12,V11) | hBOOL-{T}(V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #142: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V13,V12,V14), P_hAPP-{F}(V13,V15,V16), P_hAPP-{F}(V17,V12,V18), P_v_sko__Wellfounded__Xaccp__Xinducts__1-{F}(V13,V17,V19), P_hAPP-{F}(V18,V19,V20), hBOOL-{F}(V20), c_Wellfounded_Oaccp-{F}(V17,V15,V11) | hBOOL-{T}(V14), hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #143: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), c_Wellfounded_Oaccp-{F}(V10,V12,V1), P_c_Lambda_Osubst-{F}(V14,V12,V6,V15), P_c_List_Ofoldl-{F}(V0,V15,V13,V1,V1,V16), P_c_Lambda_OdB_OAbs-{F}(V14,V17), P_hAPP-{F}(V0,V17,V18), P_hAPP-{F}(V18,V12,V19), P_c_List_Ofoldl-{F}(V0,V19,V13,V1,V1,V20), c_Wellfounded_Oaccp-{F}(V10,V16,V1) | c_Wellfounded_Oaccp-{T}(V10,V20,V1)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #144: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V13,V12,V14), P_v_sko__Wellfounded__Xaccp__Xinduct__1-{F}(V13,V15,V16), P_hAPP-{F}(V13,V16,V17), hBOOL-{F}(V17), c_Wellfounded_Oaccp-{F}(V15,V12,V11) | hBOOL-{T}(V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #145: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V13,V12,V14), P_hAPP-{F}(V13,V15,V16), P_hAPP-{F}(V17,V12,V18), P_v_sko__Wellfounded__Xaccp__Xinduct__1-{F}(V13,V17,V19), P_hAPP-{F}(V18,V19,V20), hBOOL-{F}(V20), c_Wellfounded_Oaccp-{F}(V17,V15,V11) | hBOOL-{T}(V14), hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #146: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V12,V13,V15), P_hAPP-{F}(V15,V14,V16), hBOOL-{F}(V16), P_c_Predicate_Oconversep-{F}(V12,V18,V17,V19), P_hAPP-{F}(V19,V14,V20), P_hAPP-{F}(V20,V13,V21) | hBOOL-{T}(V21)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #147: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V12,V13,V15), P_hAPP-{F}(V15,V14,V16), P_c_Predicate_Oconversep-{F}(V12,V18,V17,V19), P_hAPP-{F}(V19,V14,V20), P_hAPP-{F}(V20,V13,V21), hBOOL-{F}(V21) | hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #148: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V12,V14,V15), P_hAPP-{F}(V15,V13,V16), hBOOL-{F}(V16), P_c_Predicate_Oconversep-{F}(V12,V18,V17,V19), P_hAPP-{F}(V19,V13,V20), P_hAPP-{F}(V20,V14,V21) | hBOOL-{T}(V21)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #149: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V12,V14,V15), P_hAPP-{F}(V15,V13,V16), P_c_Predicate_Oconversep-{F}(V12,V18,V17,V19), P_hAPP-{F}(V19,V13,V20), P_hAPP-{F}(V20,V14,V21), hBOOL-{F}(V21) | hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #150: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V12,V13,V14), P_v_sko__Wellfounded__Xaccp__Xinducts__1-{F}(V15,V12,V16), P_hAPP-{F}(V14,V16,V17), hBOOL-{F}(V17), P_hAPP-{F}(V15,V18,V19), c_Wellfounded_Oaccp-{F}(V12,V18,V11) | c_Wellfounded_Oaccp-{T}(V12,V13,V11), hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #151: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V12,V13,V14), P_v_sko__Wellfounded__Xaccp__Xinduct__1-{F}(V15,V12,V16), P_hAPP-{F}(V14,V16,V17), hBOOL-{F}(V17), P_hAPP-{F}(V15,V18,V19), c_Wellfounded_Oaccp-{F}(V12,V18,V11) | c_Wellfounded_Oaccp-{T}(V12,V13,V11), hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #152: input, references = 5, size of lhs = 22:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_tc_fun-{F}(V13,V8,V16), P_tc_fun-{F}(V15,V16,V17), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V14,V17,V18), P_c_Predicate_Oconversep-{F}(V18,V15,V13,V19), P_c_Predicate_Oconversep-{F}(V12,V15,V13,V20), P_c_Predicate_Oconversep-{F}(V14,V15,V13,V21), P_tc_fun-{F}(V15,V8,V22), P_tc_fun-{F}(V13,V22,V23), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V20,V21,V23,V24), V19 == V24 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #153: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_c_Transitive__Closure_Ortranclp-{F}(V12,V13,V16), P_hAPP-{F}(V16,V15,V17), P_hAPP-{F}(V17,V14,V18), P_c_Predicate_Oconversep-{F}(V12,V13,V13,V19), P_c_Transitive__Closure_Ortranclp-{F}(V19,V13,V20), P_hAPP-{F}(V20,V14,V21), P_hAPP-{F}(V21,V15,V22), hBOOL-{F}(V22) | hBOOL-{T}(V18)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #154: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_c_Predicate_Oconversep-{F}(V12,V13,V13,V16), P_c_Transitive__Closure_Ortranclp-{F}(V16,V13,V17), P_hAPP-{F}(V17,V14,V18), P_hAPP-{F}(V18,V15,V19), P_c_Transitive__Closure_Ortranclp-{F}(V12,V13,V20), P_hAPP-{F}(V20,V15,V21), P_hAPP-{F}(V21,V14,V22), hBOOL-{F}(V22) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #155: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V13,V12,V14), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1-{F}(V13,V16,V15,V17), c_Wellfounded_Oaccp-{F}(V16,V12,V15) | hBOOL-{T}(V14), c_Wellfounded_Oaccp-{T}(V16,V17,V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #156: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_c_Lambda_OdB_OVar-{F}(V13,V14), P_hAPP-{F}(V12,V13,V15) | c_Type_Otyping-{T}(V12,V14,V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #157: input, references = 4, size of lhs = 22:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_tc_fun-{F}(V13,V8,V16), P_tc_fun-{F}(V15,V16,V17), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V14,V17,V18), P_c_Predicate_Oconversep-{F}(V18,V15,V13,V19), P_c_Predicate_Oconversep-{F}(V12,V15,V13,V20), P_c_Predicate_Oconversep-{F}(V14,V15,V13,V21), P_tc_fun-{F}(V15,V8,V22), P_tc_fun-{F}(V13,V22,V23), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V20,V21,V23,V24), V19 == V24 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #158: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1-{F}(V12,V14,V13,V15), c_Wellfounded_Oaccp-{F}(V12,V15,V13) | c_Wellfounded_Oaccp-{T}(V12,V14,V13)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #159: input, references = 3, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1-{F}(V12,V14,V13,V15), c_Wellfounded_Oaccp-{F}(V12,V15,V13) | c_Wellfounded_Oaccp-{T}(V12,V14,V13)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #160: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1-{F}(V12,V14,V13,V15), P_hAPP-{F}(V12,V15,V16), P_hAPP-{F}(V16,V14,V17) | c_Wellfounded_Oaccp-{T}(V12,V14,V13), hBOOL-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #161: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V3,V12,V14), P_hAPP-{F}(V14,V13,V15), hBOOL-{F}(V15), P_hAPP-{F}(V0,V16,V17), P_hAPP-{F}(V17,V12,V18), P_hAPP-{F}(V3,V18,V19), P_hAPP-{F}(V17,V13,V20), P_hAPP-{F}(V19,V20,V21) | hBOOL-{T}(V21)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #162: input, references = 3, size of lhs = 21:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V3,V12,V14), P_hAPP-{F}(V14,V13,V15), P_hAPP-{F}(V0,V12,V16), P_hAPP-{F}(V0,V13,V17), hBOOL-{F}(V15), P_hAPP-{F}(V16,V18,V19), P_hAPP-{F}(V3,V19,V20), P_hAPP-{F}(V17,V18,V21), P_hAPP-{F}(V20,V21,V22) | hBOOL-{T}(V22)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #163: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V13,V12,V14), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1-{F}(V13,V16,V15,V17), c_Wellfounded_Oaccp-{F}(V16,V12,V15) | hBOOL-{T}(V14), c_Wellfounded_Oaccp-{T}(V16,V17,V15)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #164: input, references = 3, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V9,V15,V16), P_hAPP-{F}(V16,V14,V17), c_Type_Otyping-{F}(V13,V15,V12), hBOOL-{F}(V17) | c_Type_Otyping-{T}(V13,V14,V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #165: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V3,V12,V14), P_hAPP-{F}(V14,V13,V15), hBOOL-{F}(V15), P_c_Lambda_Olift-{F}(V12,V16,V17), P_hAPP-{F}(V3,V17,V18), P_c_Lambda_Olift-{F}(V13,V16,V19), P_hAPP-{F}(V18,V19,V20) | hBOOL-{T}(V20)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #166: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V13,V12,V14), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1-{F}(V13,V16,V15,V17), P_hAPP-{F}(V13,V17,V18), hBOOL-{F}(V18), c_Wellfounded_Oaccp-{F}(V16,V12,V15) | hBOOL-{T}(V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #167: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V13,V12,V14), P_hAPP-{F}(V13,V15,V16), P_hAPP-{F}(V18,V12,V19), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1-{F}(V13,V18,V17,V20), P_hAPP-{F}(V19,V20,V21), hBOOL-{F}(V21), c_Wellfounded_Oaccp-{F}(V18,V15,V17) | hBOOL-{T}(V14), hBOOL-{T}(V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #168: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_c_Predicate_Opred__comp-{F}(V12,V14,V15,V16,V13,V17), P_c_Predicate_Oconversep-{F}(V17,V15,V13,V18), P_c_Predicate_Oconversep-{F}(V14,V16,V13,V19), P_c_Predicate_Oconversep-{F}(V12,V15,V16,V20), P_c_Predicate_Opred__comp-{F}(V19,V20,V13,V16,V15,V21), V18 == V21 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #169: input, references = 6, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_hAPP-{F}(V7,V12,V13), c_Type_Otyping-{F}(V14,V12,V15) | hBOOL-{T}(V13)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #170: input, references = 3, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_c_Lambda_OdB_OAbs-{F}(V12,V14), P_hAPP-{F}(V3,V14,V15), P_c_Lambda_OdB_OAbs-{F}(V13,V16), P_hAPP-{F}(V15,V16,V17), P_hAPP-{F}(V3,V12,V18), P_hAPP-{F}(V18,V13,V19), hBOOL-{F}(V19) | hBOOL-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #171: input, references = 6, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | c_Type_Otyping-{T}(V12,V13,V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #172: input, references = 5, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14), c_Wellfounded_Oaccp-{F}(V10,V13,V1) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #173: input, references = 4, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14), class_Lattices_Olattice-{F}(V15), P_tc_fun-{F}(V16,V15,V17) | class_Lattices_Oupper__semilattice-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #174: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14), class_Lattices_Olattice-{F}(V15), P_tc_fun-{F}(V16,V15,V17) | class_Lattices_Olower__semilattice-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #175: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14), class_Lattices_Odistrib__lattice-{F}(V15), P_tc_fun-{F}(V16,V15,V17) | class_Lattices_Odistrib__lattice-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #176: input, references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14), class_Lattices_Olattice-{F}(V15), P_tc_fun-{F}(V16,V15,V17) | class_Lattices_Olattice-{T}(V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #177: input, references = 5, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | class_Lattices_Oupper__semilattice-{T}(V5)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #178: input, references = 6, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | class_Lattices_Olower__semilattice-{T}(V5)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #179: input, references = 5, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | class_Lattices_Odistrib__lattice-{T}(V5)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #180: input, references = 6, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | class_Lattices_Olattice-{T}(V5)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #181: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | class_Lattices_Oupper__semilattice-{T}(V8)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #182: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | class_Lattices_Olower__semilattice-{T}(V8)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #183: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | class_Lattices_Odistrib__lattice-{T}(V8)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #184: input, references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14) | class_Lattices_Olattice-{T}(V8)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #185: input, references = 3, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14), P_c_fequal-{F}(V15,V17), P_hAPP-{F}(V17,V16,V18), P_hAPP-{F}(V18,V16,V19) | hBOOL-{T}(V19)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #186: input, references = 3, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V3,V1,V1,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_v_T-{F}(V14), P_c_fequal-{F}(V17,V18), P_hAPP-{F}(V18,V15,V19), P_hAPP-{F}(V19,V16,V20), hBOOL-{F}(V20), V15 == V16 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #187: input, references = 14, size of lhs = 1:
% 41.10/41.29 #-{F} V0 | EXISTS V1: P_c_List_Olist_ONil-{T}(V0,V1)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #188: input, references = 3, size of lhs = 2:
% 41.10/41.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Type_Otype_OFun-{T}(V0,V1,V2)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #189: input, references = 7, size of lhs = 2:
% 41.10/41.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_hAPP-{T}(V0,V1,V2)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #190: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_c_Lambda_OdB_OApp-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #191: input, references = 3, size of lhs = 1:
% 41.10/41.29 #-{F} V0 | EXISTS V1: P_c_Lambda_OdB_OAbs-{T}(V0,V1)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #192: input, references = 4, size of lhs = 5:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_c_List_Ofoldl-{T}(V0,V1,V2,V3,V4,V5)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #193: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_tc_Lambda_OdB-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #194: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_c_Lambda_Obeta-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #195: input, references = 3, size of lhs = 4:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Type_Oshift-{T}(V0,V1,V2,V3,V4)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #196: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_tc_Type_Otype-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #197: input, references = 3, size of lhs = 2:
% 41.10/41.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_Olift-{T}(V0,V1,V2)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #198: input, references = 5, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Lambda_Osubst-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #199: input, references = 3, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #200: input, references = 3, size of lhs = 1:
% 41.10/41.29 #-{F} V0 | EXISTS V1: P_c_Lambda_OdB_OVar-{T}(V0,V1)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #201: input, references = 5, size of lhs = 1:
% 41.10/41.29 #-{F} V0 | EXISTS V1: P_c_HOL_Ozero__class_Ozero-{T}(V0,V1)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #202: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #203: input, references = 3, size of lhs = 4:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1-{T}(V0,V1,V2,V3,V4)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #204: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_c_InductTermi_OIT-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #205: input, references = 17, size of lhs = 2:
% 41.10/41.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Transitive__Closure_Ortranclp-{T}(V0,V1,V2)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #206: input, references = 6, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Lattices_Olower__semilattice__class_Oinf-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #207: input, references = 8, size of lhs = 2:
% 41.10/41.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_fun-{T}(V0,V1,V2)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #208: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_tc_bool-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #209: input, references = 3, size of lhs = 2:
% 41.10/41.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Transitive__Closure_Otranclp-{T}(V0,V1,V2)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #210: input, references = 9, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Lattices_Oupper__semilattice__class_Osup-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #211: input, references = 3, size of lhs = 5:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_c_Predicate_Opred__comp-{T}(V0,V1,V2,V3,V4,V5)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #212: input, references = 3, size of lhs = 1:
% 41.10/41.29 #-{F} V0 | EXISTS V1: P_c_fequal-{T}(V0,V1)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #213: input, references = 3, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #214: input, references = 3, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #215: input, references = 17, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Predicate_Oconversep-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #216: input, references = 3, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #217: input, references = 3, size of lhs = 2:
% 41.10/41.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_v_sko__Wellfounded__Xaccp__Xinducts__1-{T}(V0,V1,V2)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #218: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #219: input, references = 3, size of lhs = 2:
% 41.10/41.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_v_sko__Wellfounded__Xaccp__Xinduct__1-{T}(V0,V1,V2)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #220: input, references = 3, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #221: input, references = 3, size of lhs = 3:
% 41.10/41.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1-{T}(V0,V1,V2,V3)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #222: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_v_e-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #223: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_v_t-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #224: input, references = 4, size of lhs = 0:
% 41.10/41.29 FALSE | EXISTS V0: P_v_T-{T}(V0)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 number of initial rules = 225
% 41.10/41.29
% 41.10/41.29 Simplifiers:
% 41.10/41.29 #225: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 c_ListOrder_Ostep1-{F}(V0,V1,V2,V3), c_ListOrder_Ostep1-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #226: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 c_ListOrder_Ostep1-{F}(V0,V1,V2,V3), c_ListOrder_Ostep1-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #227: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 c_List_Olistsp-{F}(V0,V1,V2), c_List_Olistsp-{F}(V3,V4,V2), V1 == V4 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #228: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_List_Olist_ONil-{F}(V0,V1), P_c_List_Olist_ONil-{F}(V0,V3), V1 == V3 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #229: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Type_Otype_OFun-{F}(V0,V1,V2), P_c_Type_Otype_OFun-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #230: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_hAPP-{F}(V0,V1,V2), P_hAPP-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #231: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #232: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_tc_Lambda_OdB-{F}(V0), P_tc_Lambda_OdB-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #233: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Lambda_OdB_OAbs-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V0,V3), V1 == V3 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #234: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_List_Ofoldl-{F}(V0,V1,V2,V3,V4,V5), P_c_List_Ofoldl-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #235: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Lambda_Obeta-{F}(V0), P_c_Lambda_Obeta-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #236: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Type_Oshift-{F}(V0,V1,V2,V3,V4), P_c_Type_Oshift-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #237: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_tc_Type_Otype-{F}(V0), P_tc_Type_Otype-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #238: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Lambda_Olift-{F}(V0,V1,V2), P_c_Lambda_Olift-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #239: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Lambda_Osubst-{F}(V0,V1,V2,V3), P_c_Lambda_Osubst-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #240: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1-{F}(V0,V1,V2,V3), P_c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #241: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Lambda_OdB_OVar-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V0,V3), V1 == V3 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #242: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V0,V3), V1 == V3 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #243: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #244: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1-{F}(V0,V1,V2,V3,V4), P_c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #245: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_InductTermi_OIT-{F}(V0), P_c_InductTermi_OIT-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #246: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Transitive__Closure_Ortranclp-{F}(V0,V1,V2), P_c_Transitive__Closure_Ortranclp-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #247: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V0,V1,V2,V3), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #248: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_tc_fun-{F}(V0,V1,V2), P_tc_fun-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #249: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_tc_bool-{F}(V0), P_tc_bool-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #250: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Transitive__Closure_Otranclp-{F}(V0,V1,V2), P_c_Transitive__Closure_Otranclp-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #251: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V0,V1,V2,V3), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #252: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Predicate_Opred__comp-{F}(V0,V1,V2,V3,V4,V5), P_c_Predicate_Opred__comp-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #253: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_fequal-{F}(V0,V1), P_c_fequal-{F}(V0,V3), V1 == V3 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #254: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1-{F}(V0,V1,V2,V3), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #255: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1-{F}(V0,V1,V2,V3), P_c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #256: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_Predicate_Oconversep-{F}(V0,V1,V2,V3), P_c_Predicate_Oconversep-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #257: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1-{F}(V0,V1,V2,V3), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #258: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_v_sko__Wellfounded__Xaccp__Xinducts__1-{F}(V0,V1,V2), P_v_sko__Wellfounded__Xaccp__Xinducts__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #259: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #260: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_v_sko__Wellfounded__Xaccp__Xinduct__1-{F}(V0,V1,V2), P_v_sko__Wellfounded__Xaccp__Xinduct__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #261: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1-{F}(V0,V1,V2,V3), P_c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #262: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1-{F}(V0,V1,V2,V3), P_c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #263: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_v_e-{F}(V0), P_v_e-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #264: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_v_t-{F}(V0), P_v_t-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #265: unsound, references = 3, size of lhs = 3:
% 41.10/41.29 P_v_T-{F}(V0), P_v_T-{F}(V1), V0 == V1 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 number of simplifiers = 41
% 41.10/41.29
% 41.10/41.29 Learnt:
% 41.10/41.29 #267: exists( #187, #17 ), references = 1, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_List_Olist_ONil-{F}(V6,V7), P_c_List_Ofoldl-{F}(V8,V9,V7,V10,V6,V11), V11 == V9 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #269: exists( #192, #266 ), references = 2, size of lhs = 10:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_List_Olist_ONil-{F}(V6,V7), #-{F} V8, #-{F} V9, #-{F} V10 | P_c_List_Ofoldl-{T}(V8,V9,V7,V10,V6,V9)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #272: exists( #187, #31 ), references = 1, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_c_Lambda_Olift-{F}(V8,V9,V10), P_c_Lambda_Osubst-{F}(V10,V11,V9,V12), V12 == V8 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #274: exists( #198, #270 ), references = 1, size of lhs = 10:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_c_Lambda_Olift-{F}(V8,V9,V10), #-{F} V11 | P_c_Lambda_Osubst-{T}(V10,V11,V9,V8)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #276: exists( #189, #16 ), references = 1, size of lhs = 8:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_Type_Oshift-{F}(V7,V8,V9,V10,V11) | P_hAPP-{T}(V11,V8,V9)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #280: exists( #205, #106 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OVar-{F}(V9,V10), P_c_Lambda_Osubst-{F}(V10,V11,V9,V12), V12 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #281: exists( #205, #109 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OAbs-{F}(V9,V10), P_hAPP-{F}(V0,V11,V12), P_hAPP-{F}(V12,V13,V10) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #282: exists( #205, #112 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_hAPP-{F}(V0,V9,V10), P_hAPP-{F}(V10,V11,V12), P_c_Lambda_OdB_OAbs-{F}(V13,V12) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #288: exists( #187, #277 ), references = 2, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_c_Lambda_OdB_OVar-{F}(V8,V9), P_c_Lambda_Osubst-{F}(V9,V10,V8,V11), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #291: exists( #198, #288 ), references = 1, size of lhs = 10:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_c_Lambda_OdB_OVar-{F}(V8,V9), #-{F} V10 | P_c_Lambda_Osubst-{T}(V9,V10,V8,V10)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #295: exists( #205, #80 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OAbs-{F}(V9,V10), P_c_Lambda_OdB_OAbs-{F}(V11,V10), V9 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #296: exists( #205, #92 ), references = 1, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OAbs-{F}(V9,V10), P_c_Lambda_OdB_OAbs-{F}(V11,V12), V9 == V11, P_c_List_Ofoldl-{F}(V0,V10,V13,V1,V1,V14), P_c_List_Ofoldl-{F}(V0,V12,V15,V1,V1,V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #300: exists( #205, #68 ), references = 1, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OVar-{F}(V9,V10), P_c_Lambda_OdB_OAbs-{F}(V11,V10) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #301: exists( #205, #113 ), references = 1, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OAbs-{F}(V9,V10), P_c_Lambda_OdB_OVar-{F}(V11,V10) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #302: exists( #205, #75 ), references = 1, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OVar-{F}(V9,V10), P_c_List_Ofoldl-{F}(V0,V10,V11,V1,V1,V12), P_c_Lambda_OdB_OAbs-{F}(V13,V14), P_c_List_Ofoldl-{F}(V0,V14,V15,V1,V1,V12) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #304: exists( #210, #104 ), references = 3, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_fequal-{F}(V10,V11), P_tc_fun-{F}(V10,V8,V12), P_tc_fun-{F}(V10,V12,V13), P_c_Transitive__Closure_Otranclp-{F}(V14,V10,V15), P_c_Transitive__Closure_Ortranclp-{F}(V14,V10,V16) | P_c_Lattices_Oupper__semilattice__class_Osup-{T}(V15,V11,V13,V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #306: exists( #205, #94 ), references = 1, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_fequal-{F}(V10,V11), P_tc_fun-{F}(V10,V8,V12), P_tc_fun-{F}(V10,V12,V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V11,V13,V15), P_c_Transitive__Closure_Ortranclp-{F}(V15,V10,V16) | P_c_Transitive__Closure_Ortranclp-{T}(V14,V10,V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #309: exists( #215, #130 ), references = 2, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_fequal-{F}(V10,V11) | P_c_Predicate_Oconversep-{T}(V11,V10,V10,V11)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #310: exists( #215, #127 ), references = 1, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V10,V11,V12,V13) | P_c_Predicate_Oconversep-{T}(V13,V12,V11,V10)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #322: mergings( V4 == V11, V3 == V10, V5 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V16; #313 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_fequal-{F}(V9,V10), P_c_Predicate_Oconversep-{F}(V11,V9,V9,V10), V10 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #330: mergings( V4 == V11, V3 == V10, V5 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V16; #314 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_fequal-{F}(V9,V10), P_c_Predicate_Oconversep-{F}(V11,V9,V9,V10), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #339: mergings( V2 == V8, V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #331 ), references = 1, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_c_fequal-{F}(V8,V9), P_c_Predicate_Oconversep-{F}(V10,V8,V8,V9), V9 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #346: mergings( V2 == V8, V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #332 ), references = 1, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_c_fequal-{F}(V8,V9), P_c_Predicate_Oconversep-{F}(V10,V8,V8,V9), V10 == V9 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #349: exists( #205, #111 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OVar-{F}(V9,V10), P_c_Lambda_OdB_OVar-{F}(V11,V10), V9 == V11 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #350: exists( #205, #108 ), references = 1, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Lambda_OdB_OVar-{F}(V9,V10), P_c_Lambda_OdB_OVar-{F}(V11,V12), V9 == V11, P_c_List_Ofoldl-{F}(V0,V10,V13,V1,V1,V14), P_c_List_Ofoldl-{F}(V0,V12,V15,V1,V1,V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #353: exists( #215, #152 ), references = 2, size of lhs = 21:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_t_a-{F}(V10), P_tc_fun-{F}(V11,V8,V12), P_tc_fun-{F}(V13,V12,V14), P_tc_fun-{F}(V13,V8,V15), P_tc_fun-{F}(V11,V15,V16), P_c_Predicate_Oconversep-{F}(V17,V13,V11,V18), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V17,V19,V14,V20), P_c_Predicate_Oconversep-{F}(V20,V13,V11,V21), P_c_Predicate_Oconversep-{F}(V19,V13,V11,V22), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V18,V22,V16,V23), V21 == V23 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #372: mergings( V4 == V11, V11 == V18, V3 == V10, V10 == V17, V5 == V12, V12 == V19, V6 == V13, V7 == V14, V13 == V20, V14 == V21, V8 == V15, V15 == V22, V32 == V33, V9 == V16, V16 == V23; #356 ), references = 1, size of lhs = 20:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_t_a-{F}(V9), P_c_fequal-{F}(V10,V11), P_c_fequal-{F}(V12,V11), P_tc_fun-{F}(V12,V8,V13), P_tc_fun-{F}(V12,V13,V14), P_c_Transitive__Closure_Otranclp-{F}(V15,V12,V11), P_c_Transitive__Closure_Ortranclp-{F}(V15,V12,V16), P_tc_fun-{F}(V10,V8,V17), P_tc_fun-{F}(V10,V17,V14), P_c_Predicate_Oconversep-{F}(V16,V10,V10,V18), V18 == V16 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #388: mergings( V17 == V18, V18 == V19, V3 == V9, V9 == V15, V4 == V10, V10 == V21, V5 == V11, V6 == V12, V11 == V22, V12 == V23, V7 == V13, V13 == V24, V8 == V14, V14 == V25; #373 ), references = 1, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_t_a-{F}(V9), P_c_fequal-{F}(V10,V11), P_tc_fun-{F}(V10,V8,V12), P_c_Transitive__Closure_Otranclp-{F}(V13,V10,V11), P_c_Transitive__Closure_Ortranclp-{F}(V13,V10,V14), P_c_Predicate_Oconversep-{F}(V14,V10,V10,V15), V15 == V14 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #402: mergings( V2 == V8, V8 == V14, V3 == V9, V9 == V16, V4 == V10, V5 == V11, V10 == V17, V11 == V18, V6 == V12, V12 == V19, V7 == V13, V13 == V20; #389 ), references = 1, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_t_a-{F}(V8), P_c_fequal-{F}(V9,V10), P_tc_fun-{F}(V9,V7,V11), P_c_Transitive__Closure_Otranclp-{F}(V12,V9,V10), P_c_Transitive__Closure_Ortranclp-{F}(V12,V9,V13), P_c_Predicate_Oconversep-{F}(V13,V9,V9,V14), V14 == V13 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #416: mergings( V3 == V9, V9 == V15, V4 == V10, V10 == V18, V5 == V11, V6 == V12, V11 == V19, V12 == V20, V7 == V13, V13 == V21, V8 == V14, V14 == V22; #403 ), references = 2, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_t_a-{F}(V8), P_c_fequal-{F}(V9,V10), P_tc_fun-{F}(V9,V7,V11), P_c_Transitive__Closure_Otranclp-{F}(V12,V9,V10), P_c_Transitive__Closure_Ortranclp-{F}(V12,V9,V13) | P_c_Predicate_Oconversep-{T}(V13,V9,V9,V13)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #418: exists( #205, #26 ), references = 1, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_c_Transitive__Closure_Ortranclp-{F}(V8,V9,V10) | P_c_Transitive__Closure_Ortranclp-{T}(V10,V9,V10)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #431: mergings( V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V17, V8 == V18, V9 == V19, V10 == V20, V12 == V22, V11 == V21; #420 ), references = 3, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_tc_fun-{F}(V10,V8,V11), P_c_fequal-{F}(V10,V12), P_c_Transitive__Closure_Otranclp-{F}(V13,V10,V14), P_c_Transitive__Closure_Ortranclp-{F}(V13,V10,V15), P_c_Transitive__Closure_Ortranclp-{F}(V15,V10,V16), P_c_Transitive__Closure_Ortranclp-{F}(V14,V10,V17), V16 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #443: mergings( V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V17, V8 == V18, V9 == V19, V10 == V20, V12 == V22, V11 == V21; #432 ), references = 2, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_tc_fun-{F}(V10,V8,V11), P_c_fequal-{F}(V10,V12), P_c_Transitive__Closure_Otranclp-{F}(V13,V10,V14), P_c_Transitive__Closure_Ortranclp-{F}(V13,V10,V15), P_c_Transitive__Closure_Ortranclp-{F}(V15,V10,V16) | P_c_Transitive__Closure_Ortranclp-{T}(V14,V10,V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #450: exists( #215, #135 ), references = 1, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_Predicate_Oconversep-{F}(V10,V11,V11,V12), P_c_Transitive__Closure_Otranclp-{F}(V12,V11,V13), P_c_Transitive__Closure_Otranclp-{F}(V10,V11,V14) | P_c_Predicate_Oconversep-{T}(V14,V11,V11,V13)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #451: exists( #215, #353 ), references = 1, size of lhs = 19:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_t_a-{F}(V10), P_tc_fun-{F}(V11,V8,V12), P_tc_fun-{F}(V13,V12,V14), P_tc_fun-{F}(V13,V8,V15), P_tc_fun-{F}(V11,V15,V16), P_c_Predicate_Oconversep-{F}(V17,V13,V11,V18), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V17,V19,V14,V20), P_c_Predicate_Oconversep-{F}(V19,V13,V11,V21), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V18,V21,V16,V22) | P_c_Predicate_Oconversep-{T}(V20,V13,V11,V22)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #454: mergings( V12 == V18, V13 == V19; #449 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_t_a-{F}(V10), P_tc_fun-{F}(V1,V8,V11), P_tc_fun-{F}(V1,V11,V12), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V14,V12,V3), P_c_Predicate_Oconversep-{F}(V13,V1,V1,V15), P_c_Predicate_Oconversep-{F}(V14,V1,V1,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V15,V16,V12,V17) | P_c_Predicate_Oconversep-{T}(V3,V1,V1,V17)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #477: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V10 == V24, V9 == V23; #464 ), references = 2, size of lhs = 16:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V14,V9,V15), V15 == V14 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #488: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V10 == V24, V9 == V23; #465 ), references = 2, size of lhs = 16:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V14,V9,V15), V15 == V14 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #493: exists( #205, #477 ), references = 1, size of lhs = 15:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V13,V13,V9,V14), V14 == V13 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #494: exists( #205, #488 ), references = 3, size of lhs = 15:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V13,V13,V9,V14), V14 == V13 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #497: exists( #187, #491 ), references = 1, size of lhs = 14:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_Lambda_Obeta-{F}(V6), P_tc_Type_Otype-{F}(V7), P_tc_nat-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V8,V9), P_c_InductTermi_OIT-{F}(V10), P_tc_bool-{F}(V11), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V12,V12,V8,V13), V13 == V12 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #499: exists( #206, #495 ), references = 1, size of lhs = 13:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_Lambda_Obeta-{F}(V6), P_tc_Type_Otype-{F}(V7), P_tc_nat-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V8,V9), P_c_InductTermi_OIT-{F}(V10), P_tc_bool-{F}(V11), #-{F} V12 | P_c_Lattices_Olower__semilattice__class_Oinf-{T}(V12,V12,V8,V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #502: exists( #210, #494 ), references = 1, size of lhs = 14:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), #-{F} V13 | P_c_Lattices_Oupper__semilattice__class_Osup-{T}(V13,V13,V9,V13)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #519: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V10 == V24, V9 == V23; #506 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V15,V9,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V15,V14,V9,V17), V16 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #530: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V10 == V24, V9 == V23; #507 ), references = 1, size of lhs = 19:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V15,V9,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V17,V16,V9,V18), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V17,V15,V9,V19), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V19,V9,V20), V18 == V20 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #543: mergings( V4 == V17, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V2 == V22, V9 == V23, V10 == V24, V12 == V26, V11 == V25; #531 ), references = 1, size of lhs = 15:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V15,V9,V16) | P_c_Lattices_Olower__semilattice__class_Oinf-{T}(V15,V14,V9,V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #554: mergings( V4 == V17, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V2 == V22, V9 == V23, V10 == V24, V12 == V26, V11 == V25; #532 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V15,V9,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V17,V16,V9,V18), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V17,V15,V9,V19) | P_c_Lattices_Olower__semilattice__class_Oinf-{T}(V14,V19,V9,V18)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #566: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V9 == V23; #556 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V8), P_tc_Type_Otype-{F}(V9), P_tc_nat-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_InductTermi_OIT-{F}(V12), P_tc_bool-{F}(V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V15,V10,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V15,V14,V10,V17), V16 == V17 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #577: mergings( V4 == V17, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V2 == V22, V9 == V23, V10 == V24, V11 == V25; #567 ), references = 1, size of lhs = 15:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V8), P_tc_Type_Otype-{F}(V9), P_tc_nat-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_InductTermi_OIT-{F}(V12), P_tc_bool-{F}(V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V15,V10,V16) | P_c_Lattices_Oupper__semilattice__class_Osup-{T}(V15,V14,V10,V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #598: mergings( V22 == V24, V3 == V11, V11 == V18, V4 == V0, V5 == V21, V6 == V12, V12 == V25, V7 == V13, V8 == V14, V13 == V26, V14 == V27, V9 == V15, V15 == V28, V23 == V30, V1 == V16, V16 == V29, V10 == V31; #580 ), references = 1, size of lhs = 19:
% 41.10/41.29 hBOOL-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V1), P_tc_Lambda_OdB-{F}(V2), P_c_fequal-{F}(V2,V3), P_c_Transitive__Closure_Otranclp-{F}(V4,V2,V3), P_c_Transitive__Closure_Ortranclp-{F}(V4,V2,V5), P_c_Lambda_Obeta-{F}(V5), P_c_List_Olist_ONil-{F}(V2,V6), P_tc_Type_Otype-{F}(V7), P_tc_nat-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V8,V9), P_c_InductTermi_OIT-{F}(V10), P_tc_bool-{F}(V11), P_c_Transitive__Closure_Ortranclp-{F}(V5,V2,V12), P_t_a-{F}(V13), P_v_e-{F}(V14), P_v_t-{F}(V15), P_hAPP-{F}(V10,V15,V0), P_v_T-{F}(V16) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #611: mergings( V3 == V12, V4 == V13, V5 == V14, V6 == V15, V7 == V16, V8 == V17, V9 == V18, V10 == V19, V11 == V20, V21 == V22; #600 ), references = 1, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_fequal-{F}(V10,V11), P_c_Transitive__Closure_Otranclp-{F}(V12,V10,V13), P_c_Transitive__Closure_Ortranclp-{F}(V12,V10,V14), P_c_Transitive__Closure_Ortranclp-{F}(V14,V10,V15), P_c_Transitive__Closure_Otranclp-{F}(V16,V10,V13), P_c_Transitive__Closure_Ortranclp-{F}(V16,V10,V17), P_c_Transitive__Closure_Ortranclp-{F}(V17,V10,V18), V18 == V15 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #624: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V10 == V24, V9 == V23; #613 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V15,V9,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V16,V9,V17), V17 == V14 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #636: mergings( V4 == V17, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V2 == V22, V9 == V23, V10 == V24, V12 == V26, V11 == V25; #625 ), references = 1, size of lhs = 15:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V15,V9,V16) | P_c_Lattices_Olower__semilattice__class_Oinf-{T}(V14,V16,V9,V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #638: exists( #215, #157 ), references = 1, size of lhs = 21:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_t_a-{F}(V10), P_tc_fun-{F}(V11,V8,V12), P_tc_fun-{F}(V13,V12,V14), P_tc_fun-{F}(V13,V8,V15), P_tc_fun-{F}(V11,V15,V16), P_c_Predicate_Oconversep-{F}(V17,V13,V11,V18), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V17,V19,V14,V20), P_c_Predicate_Oconversep-{F}(V20,V13,V11,V21), P_c_Predicate_Oconversep-{F}(V19,V13,V11,V22), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V18,V22,V16,V23), V21 == V23 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #672: mergings( V4 == V16, V3 == V15, V15 == V27, V1 == V28, V16 == V29, V0 == V30, V5 == V17, V17 == V31, V6 == V18, V7 == V19, V18 == V32, V19 == V33, V8 == V20, V20 == V34, V10 == V22, V22 == V36, V9 == V21, V21 == V35, V11 == V23, V12 == V24, V13 == V25, V14 == V26; #648 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_tc_fun-{F}(V14,V9,V15), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V16,V16,V15,V17), V17 == V16 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #696: mergings( V15 == V16, V3 == V13, V13 == V29, V14 == V30, V16 == V31, V17 == V32, V4 == V19, V19 == V33, V5 == V20, V6 == V21, V20 == V34, V21 == V35, V7 == V22, V22 == V36, V18 == V24, V24 == V38, V8 == V23, V23 == V37, V9 == V25, V10 == V26, V11 == V27, V12 == V28; #673 ), references = 1, size of lhs = 16:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_tc_fun-{F}(V14,V9,V15), #-{F} V16 | P_c_Lattices_Oupper__semilattice__class_Osup-{T}(V16,V16,V15,V16)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #719: mergings( V11 == V13, V3 == V10, V4 == V14, V5 == V15, V6 == V16, V7 == V17, V12 == V19, V8 == V18; #708 ), references = 2, size of lhs = 16:
% 41.10/41.29 hBOOL-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V1), P_tc_Lambda_OdB-{F}(V2), P_c_List_Olist_ONil-{F}(V2,V3), P_c_Lambda_Obeta-{F}(V4), P_tc_Type_Otype-{F}(V5), P_tc_nat-{F}(V6), P_c_HOL_Ozero__class_Ozero-{F}(V6,V7), P_c_InductTermi_OIT-{F}(V8), P_tc_bool-{F}(V9), P_c_Transitive__Closure_Ortranclp-{F}(V4,V2,V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_t-{F}(V13), P_hAPP-{F}(V8,V13,V0), P_v_T-{F}(V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #736: mergings( V4 == V21, V21 == V22, V3 == V14, V14 == V20, V5 == V15, V15 == V23, V6 == V16, V7 == V17, V16 == V24, V17 == V25, V8 == V18, V18 == V26, V9 == V19, V19 == V27; #721 ), references = 2, size of lhs = 18:
% 41.10/41.29 hBOOL-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V1), P_tc_Lambda_OdB-{F}(V2), P_c_List_Olist_ONil-{F}(V2,V3), P_c_Lambda_Obeta-{F}(V4), P_tc_Type_Otype-{F}(V5), P_tc_nat-{F}(V6), P_c_HOL_Ozero__class_Ozero-{F}(V6,V7), P_c_InductTermi_OIT-{F}(V8), P_hAPP-{F}(V8,V9,V0), P_c_Lambda_OdB_OAbs-{F}(V9,V10), P_hAPP-{F}(V8,V10,V11), P_tc_bool-{F}(V12), P_t_a-{F}(V13), P_v_e-{F}(V14), P_v_t-{F}(V15), P_hAPP-{F}(V8,V15,V11), P_v_T-{F}(V16) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #751: mergings( V17 == V18, V18 == V19, V3 == V10, V10 == V15, V4 == V11, V11 == V21, V5 == V12, V6 == V13, V12 == V22, V13 == V23, V0 == V24, V7 == V14, V14 == V25; #737 ), references = 3, size of lhs = 16:
% 41.10/41.29 hBOOL-{F}(V0), P_v_t-{F}(V1), P_c_Lambda_OdB_OAbs-{F}(V2,V1), P_c_Lambda_OdB_OApp-{F}(V3), P_tc_Lambda_OdB-{F}(V4), P_c_List_Olist_ONil-{F}(V4,V5), P_c_Lambda_Obeta-{F}(V6), P_tc_Type_Otype-{F}(V7), P_tc_nat-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V8,V9), P_c_InductTermi_OIT-{F}(V10), P_hAPP-{F}(V10,V2,V0), P_tc_bool-{F}(V11), P_t_a-{F}(V12), P_v_e-{F}(V13), P_v_T-{F}(V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #784: mergings( V2 == V7, V7 == V13, V13 == V19, V19 == V24, V24 == V33, V8 == V0, V3 == V9, V9 == V14, V14 == V34, V4 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V35, V5 == V11, V6 == V12, V11 == V16, V12 == V17, V16 == V21, V17 == V22, V21 == V26, V22 == V27, V26 == V36, V27 == V37, V18 == V28, V28 == V38, V23 == V32, V32 == V39; #755 ), references = 1, size of lhs = 16:
% 41.10/41.29 P_v_t-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V1,V0), P_c_Lambda_OdB_OApp-{F}(V2), P_tc_Lambda_OdB-{F}(V3), P_c_Lambda_Obeta-{F}(V4), P_tc_Type_Otype-{F}(V5), P_tc_nat-{F}(V6), P_c_HOL_Ozero__class_Ozero-{F}(V6,V7), P_c_InductTermi_OIT-{F}(V8), P_hAPP-{F}(V8,V1,V9), P_tc_bool-{F}(V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_T-{F}(V13), P_hAPP-{F}(V8,V14,V9), P_c_Lambda_OdB_OVar-{F}(V15,V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #813: mergings( V3 == V8, V8 == V14, V14 == V19, V19 == V24, V24 == V30, V9 == V31, V4 == V10, V10 == V15, V15 == V32, V5 == V11, V11 == V16, V16 == V20, V20 == V25, V25 == V33, V6 == V12, V7 == V13, V12 == V17, V13 == V18, V17 == V21, V18 == V22, V21 == V26, V22 == V27, V26 == V34, V27 == V35, V0 == V36, V23 == V29, V29 == V37; #785 ), references = 1, size of lhs = 14:
% 41.10/41.29 P_v_t-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V1), P_tc_Lambda_OdB-{F}(V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_t_a-{F}(V9), P_v_e-{F}(V10), P_v_T-{F}(V11), P_c_Lambda_OdB_OAbs-{F}(V12,V0), P_c_Lambda_OdB_OVar-{F}(V13,V12) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #832: mergings( V2 == V5, V5 == V9, V9 == V12, V12 == V15, V15 == V20, V6 == V21, V3 == V7, V7 == V10, V10 == V22, V4 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V23, V17 == V24, V14 == V19, V19 == V25; #814 ), references = 1, size of lhs = 13:
% 41.10/41.29 P_v_t-{F}(V0), P_c_Lambda_OdB_OApp-{F}(V1), P_tc_Lambda_OdB-{F}(V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_t_a-{F}(V8), P_v_e-{F}(V9), P_v_T-{F}(V10), P_c_Lambda_OdB_OAbs-{F}(V11,V0), P_c_Lambda_OdB_OVar-{F}(V12,V11) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #835: exists( #205, #130 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_fequal-{F}(V9,V10), P_c_Predicate_Oconversep-{F}(V10,V9,V9,V11), V11 == V10 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #837: exists( #187, #834 ), references = 1, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_c_fequal-{F}(V8,V9), P_c_Predicate_Oconversep-{F}(V9,V8,V8,V10), V10 == V9 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #839: exists( #215, #836 ), references = 1, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_c_fequal-{F}(V8,V9) | P_c_Predicate_Oconversep-{T}(V9,V8,V8,V9)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #841: exists( #187, #494 ), references = 1, size of lhs = 14:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_Lambda_Obeta-{F}(V6), P_tc_Type_Otype-{F}(V7), P_tc_nat-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V8,V9), P_c_InductTermi_OIT-{F}(V10), P_tc_bool-{F}(V11), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V12,V12,V8,V13), V13 == V12 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #843: exists( #210, #840 ), references = 1, size of lhs = 13:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_Lambda_Obeta-{F}(V6), P_tc_Type_Otype-{F}(V7), P_tc_nat-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V8,V9), P_c_InductTermi_OIT-{F}(V10), P_tc_bool-{F}(V11), #-{F} V12 | P_c_Lattices_Oupper__semilattice__class_Osup-{T}(V12,V12,V8,V12)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #857: mergings( V3 == V12, V1 == V13, V4 == V14, V0 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V21; #846 ), references = 1, size of lhs = 18:
% 41.10/41.29 P_v_t-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V1,V0), P_c_Lambda_OdB_OApp-{F}(V2), P_tc_Lambda_OdB-{F}(V3), P_c_List_Olist_ONil-{F}(V3,V4), P_c_Lambda_Obeta-{F}(V5), P_tc_Type_Otype-{F}(V6), P_tc_nat-{F}(V7), P_c_HOL_Ozero__class_Ozero-{F}(V7,V8), P_c_InductTermi_OIT-{F}(V9), P_hAPP-{F}(V9,V1,V10), P_tc_bool-{F}(V11), P_t_a-{F}(V12), P_v_e-{F}(V13), P_v_T-{F}(V14), P_hAPP-{F}(V15,V16,V10), P_hAPP-{F}(V17,V16,V15), P_c_Transitive__Closure_Ortranclp-{F}(V18,V19,V17) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #866: mergings( V2 == V11, V3 == V12, V4 == V13, V5 == V14, V6 == V15, V7 == V16, V8 == V18; #858 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_v_t-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V1,V0), P_c_Lambda_OdB_OApp-{F}(V2), P_tc_Lambda_OdB-{F}(V3), P_c_Lambda_Obeta-{F}(V4), P_tc_Type_Otype-{F}(V5), P_tc_nat-{F}(V6), P_c_HOL_Ozero__class_Ozero-{F}(V6,V7), P_c_InductTermi_OIT-{F}(V8), P_hAPP-{F}(V8,V1,V9), P_tc_bool-{F}(V10), P_t_a-{F}(V11), P_v_e-{F}(V12), P_v_T-{F}(V13), P_hAPP-{F}(V14,V15,V9), P_hAPP-{F}(V16,V15,V14), P_c_Transitive__Closure_Ortranclp-{F}(V17,V18,V16) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #868: exists( #207, #431 ), references = 1, size of lhs = 16:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_c_fequal-{F}(V10,V11), P_c_Transitive__Closure_Otranclp-{F}(V12,V10,V13), P_c_Transitive__Closure_Ortranclp-{F}(V12,V10,V14), P_c_Transitive__Closure_Ortranclp-{F}(V14,V10,V15), P_c_Transitive__Closure_Ortranclp-{F}(V13,V10,V16), V15 == V16 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #885: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V10 == V24, V9 == V23; #872 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V15,V9,V16), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V16,V9,V17), V17 == V14 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #896: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V10 == V24, V9 == V23; #873 ), references = 1, size of lhs = 20:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V15,V9,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V16,V17,V9,V18), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V17,V9,V19), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V15,V17,V9,V20), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V19,V20,V9,V21), V18 == V21 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #907: mergings( V3 == V15, V1 == V16, V4 == V17, V0 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V10 == V24, V9 == V23; #874 ), references = 1, size of lhs = 20:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V14,V15,V9,V16), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V17,V16,V9,V18), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V17,V14,V9,V19), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V17,V15,V9,V20), P_c_Lattices_Oupper__semilattice__class_Osup-{F}(V19,V20,V9,V21), V18 == V21 | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #921: mergings( V4 == V17, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V2 == V22, V9 == V23, V10 == V24, V12 == V26, V11 == V25; #910 ), references = 1, size of lhs = 15:
% 41.10/41.29 P_t_a-{F}(V0), P_v_e-{F}(V1), P_v_t-{F}(V2), P_v_T-{F}(V3), P_c_Lambda_OdB_OApp-{F}(V4), P_tc_Lambda_OdB-{F}(V5), P_c_List_Olist_ONil-{F}(V5,V6), P_c_Lambda_Obeta-{F}(V7), P_tc_Type_Otype-{F}(V8), P_tc_nat-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_InductTermi_OIT-{F}(V11), P_tc_bool-{F}(V12), P_c_Transitive__Closure_Ortranclp-{F}(V7,V5,V13), P_c_Lattices_Olower__semilattice__class_Oinf-{F}(V14,V15,V9,V16) | P_c_Lattices_Oupper__semilattice__class_Osup-{T}(V14,V16,V9,V14)
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #955: mergings( V4 == V16, V3 == V15, V15 == V24, V1 == V25, V16 == V26, V0 == V27, V5 == V17, V17 == V28, V6 == V18, V7 == V19, V18 == V29, V19 == V30, V8 == V20, V20 == V31, V10 == V22, V22 == V33, V9 == V21, V21 == V32, V11 == V23, V23 == V34, V12 == V35, V13 == V36, V14 == V38; #929 ), references = 1, size of lhs = 15:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V9), P_t_a-{F}(V10), P_v_e-{F}(V11), P_v_t-{F}(V12), P_hAPP-{F}(V7,V12,V13), P_v_T-{F}(V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #978: mergings( V4 == V16, V3 == V15, V15 == V26, V1 == V27, V16 == V28, V0 == V29, V5 == V17, V17 == V30, V6 == V18, V7 == V19, V18 == V31, V19 == V32, V8 == V20, V20 == V33, V10 == V22, V9 == V21, V21 == V35, V11 == V23, V23 == V36, V12 == V37, V13 == V24, V14 == V38; #930 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_v_t-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V1,V0), P_c_Lambda_OdB_OApp-{F}(V2), P_tc_Lambda_OdB-{F}(V3), P_c_List_Olist_ONil-{F}(V3,V4), P_c_Lambda_Obeta-{F}(V5), P_c_Transitive__Closure_Ortranclp-{F}(V5,V3,V6), P_tc_Type_Otype-{F}(V7), P_tc_nat-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V8,V9), P_c_InductTermi_OIT-{F}(V10), P_hAPP-{F}(V10,V1,V11), P_hAPP-{F}(V10,V0,V11), P_tc_bool-{F}(V12), P_t_a-{F}(V13), P_v_e-{F}(V14), P_v_T-{F}(V15) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1002: mergings( V4 == V16, V3 == V15, V15 == V24, V1 == V25, V16 == V26, V0 == V27, V5 == V17, V17 == V28, V6 == V18, V7 == V19, V18 == V29, V19 == V30, V8 == V20, V20 == V31, V10 == V22, V9 == V21, V21 == V32, V11 == V23, V23 == V33, V12 == V34, V13 == V35, V36 == V38, V14 == V37; #931 ), references = 1, size of lhs = 18:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_c_Transitive__Closure_Ortranclp-{F}(V3,V1,V4), P_tc_Type_Otype-{F}(V5), P_tc_nat-{F}(V6), P_c_HOL_Ozero__class_Ozero-{F}(V6,V7), P_c_InductTermi_OIT-{F}(V8), P_tc_bool-{F}(V9), P_t_a-{F}(V10), P_v_e-{F}(V11), P_v_t-{F}(V12), P_v_T-{F}(V13), P_hAPP-{F}(V8,V12,V14), P_hAPP-{F}(V8,V15,V14), P_c_Lambda_OdB_OAbs-{F}(V15,V16), P_hAPP-{F}(V8,V16,V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1025: mergings( V14 == V15, V15 == V23, V3 == V13, V13 == V22, V4 == V16, V16 == V24, V5 == V17, V6 == V18, V17 == V25, V18 == V26, V7 == V19, V19 == V27, V8 == V20, V20 == V28, V9 == V21, V21 == V29, V10 == V30, V11 == V31, V12 == V33; #1003 ), references = 1, size of lhs = 14:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_t_a-{F}(V9), P_v_e-{F}(V10), P_v_t-{F}(V11), P_hAPP-{F}(V7,V11,V12), P_v_T-{F}(V13) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1047: mergings( V14 == V15, V3 == V13, V13 == V24, V1 == V25, V15 == V26, V0 == V27, V4 == V16, V16 == V28, V5 == V17, V6 == V18, V17 == V29, V18 == V30, V7 == V19, V19 == V31, V8 == V20, V20 == V33, V9 == V21, V21 == V34, V10 == V35, V11 == V22, V12 == V36; #1004 ), references = 1, size of lhs = 16:
% 41.10/41.29 P_v_t-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V1,V0), P_c_Lambda_OdB_OApp-{F}(V2), P_tc_Lambda_OdB-{F}(V3), P_c_List_Olist_ONil-{F}(V3,V4), P_c_Lambda_Obeta-{F}(V5), P_tc_Type_Otype-{F}(V6), P_tc_nat-{F}(V7), P_c_HOL_Ozero__class_Ozero-{F}(V7,V8), P_c_InductTermi_OIT-{F}(V9), P_hAPP-{F}(V9,V1,V10), P_hAPP-{F}(V9,V0,V10), P_tc_bool-{F}(V11), P_t_a-{F}(V12), P_v_e-{F}(V13), P_v_T-{F}(V14) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1070: mergings( V14 == V15, V3 == V13, V13 == V22, V1 == V23, V15 == V24, V0 == V25, V4 == V16, V16 == V26, V5 == V17, V6 == V18, V17 == V27, V18 == V28, V7 == V19, V19 == V29, V8 == V20, V20 == V30, V9 == V21, V21 == V31, V10 == V32, V11 == V33, V34 == V36, V12 == V35; #1005 ), references = 1, size of lhs = 17:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_t_a-{F}(V9), P_v_e-{F}(V10), P_v_t-{F}(V11), P_v_T-{F}(V12), P_hAPP-{F}(V7,V11,V13), P_hAPP-{F}(V7,V14,V13), P_c_Lambda_OdB_OAbs-{F}(V14,V15), P_hAPP-{F}(V7,V15,V13) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1089: mergings( V20 == V21, V21 == V22, V3 == V12, V12 == V18, V4 == V13, V13 == V24, V5 == V14, V6 == V15, V14 == V25, V15 == V26, V7 == V0, V8 == V16, V16 == V27, V9 == V17, V17 == V28, V10 == V29, V11 == V30; #1071 ), references = 1, size of lhs = 13:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_List_Olist_ONil-{F}(V1,V2), P_c_Lambda_Obeta-{F}(V3), P_tc_Type_Otype-{F}(V4), P_tc_nat-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_InductTermi_OIT-{F}(V7), P_tc_bool-{F}(V8), P_t_a-{F}(V9), P_v_e-{F}(V10), P_v_t-{F}(V11), P_v_T-{F}(V12) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1106: mergings( V2 == V11, V11 == V17, V3 == V12, V12 == V19, V4 == V13, V5 == V14, V13 == V20, V14 == V21, V6 == V22, V7 == V15, V15 == V23, V8 == V16, V16 == V24, V9 == V25, V10 == V27; #1090 ), references = 1, size of lhs = 12:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_InductTermi_OIT-{F}(V6), P_tc_bool-{F}(V7), P_t_a-{F}(V8), P_v_e-{F}(V9), P_v_t-{F}(V10), P_v_T-{F}(V11) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1119: mergings( V2 == V9, V9 == V13, V3 == V10, V10 == V16, V4 == V17, V5 == V11, V11 == V18, V6 == V12, V12 == V19, V7 == V20, V8 == V22; #1107 ), references = 1, size of lhs = 11:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_InductTermi_OIT-{F}(V5), P_tc_bool-{F}(V6), P_t_a-{F}(V7), P_v_e-{F}(V8), P_v_t-{F}(V9), P_v_T-{F}(V10) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1131: mergings( V1 == V7, V7 == V11, V2 == V8, V8 == V14, V3 == V16, V4 == V9, V9 == V17, V5 == V10, V10 == V18, V6 == V19; #1120 ), references = 1, size of lhs = 10:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_InductTermi_OIT-{F}(V5), P_tc_bool-{F}(V6), P_t_a-{F}(V7), P_v_e-{F}(V8), P_v_t-{F}(V9) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1143: mergings( V1 == V7, V7 == V11, V2 == V8, V8 == V14, V3 == V16, V4 == V9, V9 == V17, V5 == V10, V10 == V18, V6 == V19; #1132 ), references = 1, size of lhs = 9:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_InductTermi_OIT-{F}(V5), P_tc_bool-{F}(V6), P_t_a-{F}(V7), P_v_e-{F}(V8) | FALSE
% 41.10/41.29 (used 0 times, uses = {})
% 41.10/41.29
% 41.10/41.29 #1154: mergings( V1 == V6, V6 == V10, V2 == V7, V7 == V13, V3 == V15, V4 == V8, V8 == V16, V5 == V9, V9 == V17; #1144 ), references = 1, size of lhs = 8:
% 41.10/41.29 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_InductTermi_OIT-{F}(V5), P_tc_bool-{F}(V6), P_t_a-{F}(V7) | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 #1163: mergings( V1 == V5, V5 == V8, V2 == V6, V6 == V11, V3 == V13, V4 == V7, V7 == V14; #1155 ), references = 1, size of lhs = 7:
% 41.10/41.30 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_InductTermi_OIT-{F}(V5), P_tc_bool-{F}(V6) | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 #1170: mergings( V1 == V4, V4 == V6, V2 == V5, V5 == V9, V3 == V11; #1164 ), references = 1, size of lhs = 6:
% 41.10/41.30 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4), P_c_InductTermi_OIT-{F}(V5) | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 #1176: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V8; #1171 ), references = 1, size of lhs = 5:
% 41.10/41.30 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3), P_tc_nat-{F}(V4) | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 #1182: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V8; #1177 ), references = 1, size of lhs = 4:
% 41.10/41.30 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2), P_tc_Type_Otype-{F}(V3) | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 #1186: mergings( V1 == V2, V2 == V3; #1183 ), references = 1, size of lhs = 3:
% 41.10/41.30 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1), P_c_Lambda_Obeta-{F}(V2) | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 #1190: mergings( V1 == V2, V2 == V3; #1187 ), references = 1, size of lhs = 2:
% 41.10/41.30 P_c_Lambda_OdB_OApp-{F}(V0), P_tc_Lambda_OdB-{F}(V1) | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 #1194: mergings( V1 == V2, V2 == V3; #1191 ), references = 1, size of lhs = 1:
% 41.10/41.30 P_c_Lambda_OdB_OApp-{F}(V0) | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 #1196: exists( #190, #1191 ), references = 1, size of lhs = 0:
% 41.10/41.30 FALSE | FALSE
% 41.10/41.30 (used 0 times, uses = {})
% 41.10/41.30
% 41.10/41.30 number of learnt formulas = 94
% 41.10/41.30
% 41.10/41.30
% 41.10/41.30 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.10/41.30
% 41.10/41.30 randbase = 1
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