TSTP Solution File: SCT170_3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SCT170_3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 : Thu Aug 31 14:12:20 EDT 2023
% Result : Theorem 2.30s 2.48s
% Output : Proof 2.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.52 % Problem : SCT170_3 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.53 % Command : do_cvc5 %s %d
% 0.52/0.74 % Computer : n009.cluster.edu
% 0.52/0.74 % Model : x86_64 x86_64
% 0.52/0.74 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.52/0.74 % Memory : 8042.1875MB
% 0.52/0.74 % OS : Linux 3.10.0-693.el7.x86_64
% 0.52/0.74 % CPULimit : 300
% 0.52/0.74 % WCLimit : 300
% 0.52/0.74 % DateTime : Thu Aug 24 15:17:21 EDT 2023
% 0.52/0.74 % CPUTime :
% 0.59/1.28 %----Proving TF0_NAR, FOF, or CNF
% 2.30/2.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3QwcLDJt8E/cvc5---1.0.5_7556.p...
% 2.30/2.48 ------- get file name : TPTP file name is SCT170_3
% 2.30/2.48 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7556.smt2...
% 2.30/2.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.30/2.48 % SZS status Theorem for SCT170_3
% 2.30/2.48 % SZS output start Proof for SCT170_3
% 2.30/2.48 (
% 2.30/2.48 (let ((_let_1 (forall ((I tptp.arrow_856714788e_indi)) (let ((_let_1 (tptp.hAPP_A1646126530t_bool tptp.p I))) (let ((_let_2 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt tptp.a))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_2 tptp.b)) _let_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_2 tptp.c)) (tptp.hAPP_A1601437999t_bool (tptp.hAPP_A1058422557t_bool (tptp.hAPP_f1550387441t_bool tptp.arrow_1525312447_below _let_1) tptp.c) tptp.b))))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((P tptp.fun_fu638310559l_bool) (Q tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A897398598l_bool (tptp.hAPP_f1717907078l_bool tptp.cOMBK_1520063231e_indi P) Q) P)))) (let ((_let_4 (forall ((P tptp.fun_Ar1448189019le_alt) (Q tptp.list_A114658244le_alt) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1382181054le_alt (tptp.hAPP_l1822938419le_alt (tptp.hAPP_f274624079le_alt tptp.cOMBC_673369480le_alt P) Q) R) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt P R) Q))))) (let ((_let_5 (forall ((As tptp.list_A114658244le_alt)) (=> (not (= As tptp.nil_Ar557011903le_alt)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.last_A488133080le_alt As)) (tptp.set_Ar1995755744le_alt As))))))) (let ((_let_6 (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_1))))))) (let ((_let_7 (forall ((X_19 tptp.arrow_1893660431le_alt) (Xs_21 tptp.list_A114658244le_alt)) (= (tptp.hd_Arr1236501138le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_19) Xs_21)) X_19)))) (let ((_let_8 (forall ((X_2 tptp.arrow_856714788e_indi)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) tptp.top_to788185952i_bool))))) (let ((_let_9 (forall ((X_33 tptp.arrow_1893660431le_alt) (Xs_46 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_33) Xs_46)))) (let ((_let_2 (= Xs_46 tptp.nil_Ar557011903le_alt))) (and (=> _let_2 (= _let_1 X_33)) (=> (not _let_2) (= _let_1 (tptp.last_A488133080le_alt Xs_46))))))))) (let ((_let_10 (tptp.hAPP_f1717907078l_bool tptp.cOMBK_1520063231e_indi tptp.arrow_1361987423le_Lin))) (let ((_let_11 (tptp.pi_Arr959578316t_bool tptp.top_to788185952i_bool _let_10))) (let ((_let_12 (= tptp.arrow_5070731e_Prof _let_11))) (let ((_let_13 (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1474557608l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool F) (tptp.pi_Arr959578316t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1646126530t_bool F X_2)) (tptp.hAPP_A897398598l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)))))))) (let ((_let_14 (forall ((A_10 tptp.arrow_1893660431le_alt) (List_4 tptp.list_A114658244le_alt)) (not (= tptp.nil_Ar557011903le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt A_10) List_4)))))) (let ((_let_15 (forall ((X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2))) (let ((_let_2 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_1 Y_2)))) (let ((_let_3 (= X_2 Aa))) (let ((_let_4 (= Y_2 Aa))) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_2 (tptp.hAPP_A1601437999t_bool (tptp.hAPP_A1058422557t_bool (tptp.hAPP_f1550387441t_bool tptp.arrow_1525312447_below L_2) Aa) Ba))) (and (not (= X_2 Y_2)) (=> _let_4 (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_1 Ba)) L_2))) (=> (not _let_4) (and (=> _let_3 (or (= Y_2 Ba) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ba) Y_2)) L_2)))) (=> (not _let_3) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_2 L_2)))))))))))))))) (let ((_let_16 (tptp.hAPP_f908467689t_bool tptp.cOMBB_1876517692e_indi tptp.arrow_1525312447_below))) (let ((_let_17 (tptp.hAPP_A425126512t_bool (tptp.hAPP_f1631649925t_bool tptp.cOMBC_1417338747t_bool (tptp.hAPP_A1889513822t_bool (tptp.hAPP_f2102110817t_bool tptp.cOMBC_1486904681t_bool (tptp.hAPP_f1751344075t_bool _let_16 tptp.p)) tptp.c)) tptp.b))) (let ((_let_18 (tptp.hAPP_A425126512t_bool (tptp.hAPP_f1631649925t_bool tptp.cOMBC_1417338747t_bool (tptp.hAPP_A1889513822t_bool (tptp.hAPP_f2102110817t_bool tptp.cOMBC_1486904681t_bool (tptp.hAPP_f1751344075t_bool _let_16 _let_17)) tptp.b)) tptp.a))) (let ((_let_19 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt tptp.c) tptp.nil_Ar557011903le_alt))) (let ((_let_20 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt tptp.b))) (let ((_let_21 (tptp.hAPP_l84111627le_alt _let_20 _let_19))) (let ((_let_22 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt tptp.a))) (let ((_let_23 (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt _let_22 _let_21))))) (let ((_let_24 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool tptp.p))) (let ((_let_25 (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_24 tptp.arrow_5070731e_Prof)))) (let ((_let_26 (tptp.last_A488133080le_alt _let_19))) (let ((_let_27 (= tptp.c _let_26))) (let ((_let_28 (tptp.hAPP_l84111627le_alt _let_20 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.nil_Ar557011903le_alt)))) (let ((_let_29 (= tptp.a (tptp.hd_Arr1236501138le_alt (tptp.hAPP_l84111627le_alt _let_22 _let_28))))) (let ((_let_30 (tptp.last_A488133080le_alt _let_21))) (let ((_let_31 (= _let_26 _let_30))) (let ((_let_32 (tptp.set_Ar1995755744le_alt _let_21))) (let ((_let_33 (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt tptp.a) _let_32)))) (let ((_let_34 (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt _let_30) _let_32)))) (let ((_let_35 (= tptp.a tptp.c))) (let ((_let_36 (forall ((BOUND_VARIABLE_27305 tptp.arrow_1893660431le_alt)) (= BOUND_VARIABLE_27305 (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt BOUND_VARIABLE_27305) tptp.nil_Ar557011903le_alt)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (AND_ELIM _let_37 :args (0)))) (let ((_let_39 (_let_36))) (let ((_let_40 ((tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt BOUND_VARIABLE_27305)))) (let ((_let_41 (ASSUME :args _let_39))) (let ((_let_42 (forall ((X_19 tptp.arrow_1893660431le_alt) (Xs_21 tptp.list_A114658244le_alt)) (= X_19 (tptp.hd_Arr1236501138le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_19) Xs_21)))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (= tptp.nil_Ar557011903le_alt _let_19))) (let ((_let_45 (or _let_44 _let_31))) (let ((_let_46 (forall ((BOUND_VARIABLE_27318 tptp.arrow_1893660431le_alt) (BOUND_VARIABLE_27320 tptp.list_A114658244le_alt)) (or (= tptp.nil_Ar557011903le_alt BOUND_VARIABLE_27320) (= (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt BOUND_VARIABLE_27318) BOUND_VARIABLE_27320)) (tptp.last_A488133080le_alt BOUND_VARIABLE_27320)))))) (let ((_let_47 (_let_46))) (let ((_let_48 (_let_14))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt A_10) List_4)))) (let ((_let_51 (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt _let_21)))) (let ((_let_52 (not _let_33))) (let ((_let_53 (and _let_52 _let_51))) (let ((_let_54 (= _let_23 _let_53))) (let ((_let_55 (_let_6))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or (not _let_23) _let_53 (not _let_54)))) (ASSUME :args (_let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.a _let_21 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_55)) _let_56 :args (_let_54 false _let_6)) :args (_let_53 false _let_23 false _let_54)))) (let ((_let_59 (not _let_53))) (let ((_let_60 (= tptp.nil_Ar557011903le_alt _let_21))) (let ((_let_61 (or _let_60 _let_34))) (let ((_let_62 (forall ((As tptp.list_A114658244le_alt)) (or (= tptp.nil_Ar557011903le_alt As) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.last_A488133080le_alt As)) (tptp.set_Ar1995755744le_alt As))))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 ((tptp.last_A488133080le_alt As)))) (let ((_let_66 (tptp.hAPP_A1646126530t_bool tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_67 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt tptp.a))) (let ((_let_68 (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_67 tptp.b)) _let_66)))) (let ((_let_69 (not _let_35))) (let ((_let_70 (and _let_69 _let_68))) (let ((_let_71 (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_67 tptp.c)) (tptp.hAPP_A1601437999t_bool (tptp.hAPP_A1058422557t_bool (tptp.hAPP_f1550387441t_bool tptp.arrow_1525312447_below _let_66) tptp.c) tptp.b))))) (let ((_let_72 (= _let_71 _let_70))) (let ((_let_73 (not _let_70))) (let ((_let_74 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool _let_66))) (let ((_let_75 (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_74 tptp.arrow_1361987423le_Lin)))) (let ((_let_76 (not _let_75))) (let ((_let_77 (= tptp.b tptp.c))) (let ((_let_78 (or _let_77 _let_76 _let_72))) (let ((_let_79 (forall ((X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2))) (let ((_let_2 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_1 Y_2)))) (let ((_let_3 (= X_2 Aa))) (let ((_let_4 (= Y_2 Aa))) (or (= Aa Ba) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_2 (tptp.hAPP_A1601437999t_bool (tptp.hAPP_A1058422557t_bool (tptp.hAPP_f1550387441t_bool tptp.arrow_1525312447_below L_2) Aa) Ba))) (and (not (= X_2 Y_2)) (or (not _let_4) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_1 Ba)) L_2))) (or _let_4 (and (or (not _let_3) (= Y_2 Ba) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ba) Y_2)) L_2))) (or _let_3 (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_2 L_2))))))))))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (tptp.hAPP_l1822938419le_alt (tptp.hAPP_f274624079le_alt tptp.cOMBC_673369480le_alt tptp.cons_A1647044463le_alt) tptp.nil_Ar557011903le_alt))) (let ((_let_82 (tptp.hAPP_l84111627le_alt _let_20 tptp.nil_Ar557011903le_alt))) (let ((_let_83 (= _let_82 (tptp.hAPP_A1382181054le_alt _let_81 tptp.b)))) (let ((_let_84 (tptp.last_A488133080le_alt _let_82))) (let ((_let_85 (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt _let_84) (tptp.set_Ar1995755744le_alt _let_82))))) (let ((_let_86 (= _let_19 (tptp.hAPP_A1382181054le_alt _let_81 tptp.c)))) (let ((_let_87 (= tptp.b _let_84))) (let ((_let_88 (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt tptp.b) (tptp.set_Ar1995755744le_alt _let_19))))) (let ((_let_89 (not _let_77))) (let ((_let_90 (_let_4))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 ((tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt P R) Q)))) (let ((_let_93 (= tptp.nil_Ar557011903le_alt _let_82))) (let ((_let_94 (or _let_93 _let_85))) (let ((_let_95 (not _let_88))) (let ((_let_96 (and _let_95 (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt _let_19))))) (let ((_let_97 (= _let_51 _let_96))) (let 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_let_36)) :args (false false _let_35 false _let_34 true _let_33 false _let_31 false _let_29 false _let_27)) :args (_let_25 (tptp.hBOOL (tptp.hAPP_f1572141188l_bool tptp.arrow_1335103695le_IIA tptp.f)) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool tptp.arrow_320876018nimity tptp.f)) (not (= tptp.a tptp.b)) _let_23 (forall ((I tptp.arrow_856714788e_indi)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt tptp.a) tptp.b)) (tptp.hAPP_A1646126530t_bool tptp.p I))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt tptp.b) tptp.a)) (tptp.hAPP_A1646126530t_bool tptp.p_1 I))))) (not (forall ((C_5 tptp.arrow_1893660431le_alt)) (not (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt tptp.a) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt tptp.b) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt C_5) tptp.nil_Ar557011903le_alt)))))))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool _let_18) tptp.arrow_5070731e_Prof)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A425126512t_bool (tptp.hAPP_f1631649925t_bool tptp.cOMBC_1417338747t_bool (tptp.hAPP_A1889513822t_bool (tptp.hAPP_f2102110817t_bool tptp.cOMBC_1486904681t_bool (tptp.hAPP_f1751344075t_bool _let_16 _let_18)) tptp.a)) tptp.c)) tptp.arrow_5070731e_Prof)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool _let_17) tptp.arrow_5070731e_Prof)) (forall ((X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool) (Z_3 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)))) (let ((_let_2 (= X_2 Z_3))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_A1601437999t_bool (tptp.arrow_1481558583_mkbot L_2) Z_3))) (and (not (= Y_2 Z_3)) (=> _let_2 (not (= X_2 Y_2))) (=> (not _let_2) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 L_2)))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool) (Z_3 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)))) (let ((_let_2 (= Y_2 Z_3))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_A1601437999t_bool (tptp.arrow_1630265669_mktop L_2) Z_3))) (and (not (= X_2 Z_3)) (=> _let_2 (not (= X_2 Y_2))) (=> (not _let_2) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 L_2)))))))) _let_15 (forall ((Pa tptp.fun_Pr486337689t_bool)) (= (forall ((X1 tptp.produc587761367le_alt)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X1))) (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)))))) (forall ((Pa tptp.fun_Pr2067565481t_bool)) (= (forall ((X1 tptp.produc472769767le_alt)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X1))) (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)))))) (forall ((Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt) (A_8 tptp.list_A114658244le_alt) (B_7 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_8) B_7)) (and (= Aa A_8) (= Ba B_7)))) (forall ((Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (A_8 tptp.arrow_1893660431le_alt) (B_7 tptp.arrow_1893660431le_alt)) (= (= (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_8) B_7)) (and (= Aa A_8) (= Ba B_7)))) (forall ((A_12 tptp.list_A114658244le_alt) (B_9 tptp.list_A114658244le_alt) (A_11 tptp.list_A114658244le_alt) (B_8 tptp.list_A114658244le_alt)) (=> (= (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_12) B_9) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_11) B_8)) (not (=> (= A_12 A_11) (not (= B_9 B_8)))))) (forall ((A_12 tptp.arrow_1893660431le_alt) (B_9 tptp.arrow_1893660431le_alt) (A_11 tptp.arrow_1893660431le_alt) (B_8 tptp.arrow_1893660431le_alt)) (=> (= (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_12) B_9) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_11) B_8)) (not (=> (= A_12 A_11) (not (= B_9 B_8)))))) (forall ((R_1 tptp.fun_Pr486337689t_bool) (X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool (tptp.in_rel2123099320le_alt R_1) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) R_1)))) (forall ((R_1 tptp.fun_Pr2067565481t_bool) (X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt)) (= (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool (tptp.in_rel1496001986le_alt R_1) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) R_1)))) (forall ((L_2 tptp.fun_Pr2067565481t_bool) (X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool (tptp.hAPP_A1058422557t_bool (tptp.hAPP_f1550387441t_bool tptp.arrow_1525312447_below L_2) X_2) Y_2)) tptp.arrow_1361987423le_Lin))))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool tptp.p_1) tptp.arrow_5070731e_Prof)) (forall ((P_a tptp.fun_Ar274636406t_bool) (Pa tptp.fun_Ar274636406t_bool) (A_8 tptp.arrow_1893660431le_alt) (B_7 tptp.arrow_1893660431le_alt) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (not (= Aa Ba)) (=> (not (= A_8 B_7)) (=> (not (= Aa B_7)) (=> (not (= Ba A_8)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Pa) tptp.arrow_5070731e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool P_a) tptp.arrow_5070731e_Prof)) (=> (forall ((I tptp.arrow_856714788e_indi)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) (tptp.hAPP_A1646126530t_bool Pa I))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_8) B_7)) (tptp.hAPP_A1646126530t_bool P_a I))))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) (tptp.hAPP_f2008608496t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_8) B_7)) (tptp.hAPP_f2008608496t_bool tptp.f P_a)))))))))))) (forall ((P_a tptp.fun_Ar274636406t_bool) (Pa tptp.fun_Ar274636406t_bool) (A_8 tptp.arrow_1893660431le_alt) (B_7 tptp.arrow_1893660431le_alt) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (not (= Aa Ba)) (=> (not (= A_8 B_7)) (=> (not (= Aa B_7)) (=> (not (= Ba A_8)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Pa) tptp.arrow_5070731e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool P_a) tptp.arrow_5070731e_Prof)) (=> (forall ((I tptp.arrow_856714788e_indi)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) (tptp.hAPP_A1646126530t_bool Pa I))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_8) B_7)) (tptp.hAPP_A1646126530t_bool P_a I))))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) (tptp.hAPP_f2008608496t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_8) B_7)) (tptp.hAPP_f2008608496t_bool tptp.f P_a)))))))))))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool tptp.f) (tptp.pi_fun1746584570t_bool tptp.arrow_5070731e_Prof (tptp.hAPP_f1104294872l_bool tptp.cOMBK_1701906001t_bool tptp.arrow_1361987423le_Lin)))) (forall ((L_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_f480276746t_bool tptp.cOMBK_1650320063e_indi L_2)) tptp.arrow_5070731e_Prof)))) (forall ((X_2 tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool (tptp.arrow_1481558583_mkbot L_2) X_2)) tptp.arrow_1361987423le_Lin)))) (forall ((X_2 tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool (tptp.arrow_1630265669_mktop L_2) X_2)) tptp.arrow_1361987423le_Lin)))) (forall ((Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) L_2)) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ba) Aa)) L_2)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (=> (not (= X_2 Y_2)) (= (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) L_2))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Y_2) X_2)) L_2)))))) (forall ((A tptp.arrow_1893660431le_alt) (B tptp.arrow_1893660431le_alt)) (=> (not (= A B)) (exists ((C_5 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt A) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt B) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt C_5) tptp.nil_Ar557011903le_alt)))))))) (forall ((Fa tptp.fun_fu2114379172t_bool)) (= (tptp.hBOOL (tptp.hAPP_f1572141188l_bool tptp.arrow_1335103695le_IIA Fa)) (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) tptp.arrow_5070731e_Prof)) (forall ((Xa tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Xa) tptp.arrow_5070731e_Prof)) (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)))) (=> (forall ((I tptp.arrow_856714788e_indi)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_A1646126530t_bool X_1 I))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_A1646126530t_bool Xa I)))))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_f2008608496t_bool Fa X_1))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_f2008608496t_bool Fa Xa))))))))))))) (forall ((Fa tptp.fun_fu2114379172t_bool)) (= (tptp.hBOOL (tptp.hAPP_f1572141188l_bool tptp.arrow_320876018nimity Fa)) (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) tptp.arrow_5070731e_Prof)) (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (=> (forall ((I tptp.arrow_856714788e_indi)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.hAPP_A1646126530t_bool X_1 I)))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.hAPP_f2008608496t_bool Fa X_1))))))))) (forall ((Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (not (= Aa Ba)) (exists ((X_1 tptp.fun_Pr2067565481t_bool)) (and (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) tptp.arrow_1361987423le_Lin)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) X_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (L_2 tptp.fun_Pr2067565481t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2))) (let ((_let_2 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_1 Y_2)))) (let ((_let_3 (= Y_2 Ba))) (let ((_let_4 (= X_2 Ba))) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_2 (tptp.hAPP_A1601437999t_bool (tptp.arrow_216713899_above L_2 Aa) Ba))) (and (not (= X_2 Y_2)) (=> _let_4 (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Y_2)) L_2))) (=> (not _let_4) (and (=> _let_3 (or (= X_2 Aa) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_1 Aa)) L_2)))) (=> (not _let_3) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_2 L_2)))))))))))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt tptp.nil_Ar557011903le_alt)) _let_14 (forall ((A_9 tptp.arrow_1893660431le_alt) (List_3 tptp.list_A114658244le_alt)) (not (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt A_9) List_3) tptp.nil_Ar557011903le_alt))) (exists ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt) (C_5 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt A_7) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt B_6) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt C_5) tptp.nil_Ar557011903le_alt)))))) (exists ((L_3 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_3) tptp.arrow_1361987423le_Lin))) (forall ((Fa tptp.fun_fu2114379172t_bool) (I_1 tptp.arrow_856714788e_indi)) (= (tptp.hBOOL (tptp.hAPP_A997847300i_bool (tptp.hAPP_f399308031i_bool tptp.arrow_1765888670ctator Fa) I_1)) (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) tptp.arrow_5070731e_Prof)) (= (tptp.hAPP_f2008608496t_bool Fa X_1) (tptp.hAPP_A1646126530t_bool X_1 I_1)))))) (forall ((Aa tptp.arrow_1893660431le_alt) (List tptp.list_A114658244le_alt) (A_8 tptp.arrow_1893660431le_alt) (List_2 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Aa) List) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt A_8) List_2)) (and (= Aa A_8) (= List List_2)))) (forall ((X_39 tptp.arrow_1893660431le_alt) (Xs_53 tptp.list_A114658244le_alt)) (not (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_39) Xs_53) Xs_53))) (forall ((Xs_52 tptp.list_A114658244le_alt) (X_38 tptp.arrow_1893660431le_alt)) (not (= Xs_52 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_38) Xs_52)))) (forall ((L_2 tptp.fun_Pr2067565481t_bool) (X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool L_2) tptp.arrow_1361987423le_Lin)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool (tptp.arrow_216713899_above L_2 X_2) Y_2)) tptp.arrow_1361987423le_Lin))))) (forall ((I_1 tptp.arrow_856714788e_indi) (Fa tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool Fa) (tptp.pi_fun1746584570t_bool tptp.arrow_5070731e_Prof (tptp.hAPP_f1104294872l_bool tptp.cOMBK_1701906001t_bool tptp.arrow_1361987423le_Lin)))) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) tptp.arrow_5070731e_Prof)) (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)))) (=> (not (= A_7 B_6)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_A1646126530t_bool X_1 I_1))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_f2008608496t_bool Fa X_1))))))))) (tptp.hBOOL (tptp.hAPP_A997847300i_bool (tptp.hAPP_f399308031i_bool tptp.arrow_1765888670ctator Fa) I_1))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr1780397033l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool F) (tptp.pi_Pro1238944957t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1178790471t_bool F X_2)) (tptp.hAPP_P1103642805l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)))))) (forall ((X_2 tptp.nat) (F tptp.fun_na654729482le_alt) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_na998785244t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f237532692l_bool (tptp.hAPP_f1907966927l_bool tptp.member1393348599le_alt F) (tptp.pi_nat140973286le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_n216724700le_alt F X_2)) (tptp.hAPP_n1161265524t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr1116498339le_alt) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr324456707t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1446814201l_bool (tptp.hAPP_f141330253l_bool tptp.member278248694le_alt F) (tptp.pi_Pro1151594295le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_P211644097le_alt F X_2)) (tptp.hAPP_P1708597583t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar245737999le_alt) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar1573071255t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f583850777l_bool (tptp.hAPP_f109138393l_bool tptp.member2099084668le_alt F) (tptp.pi_Arr651462635le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt F X_2)) (tptp.hAPP_A1601437999t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar338949104le_alt) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1754488902l_bool (tptp.hAPP_f766019597l_bool tptp.member387840963le_alt F) (tptp.pi_Arr1460528004le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A899858958le_alt F X_2)) (tptp.hAPP_A1646126530t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1682907689le_alt) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bo1431306493t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1620711039l_bool (tptp.hAPP_f334747853l_bool tptp.member684813948le_alt F) (tptp.pi_boo7125949le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_b2094455111le_alt F X_2)) (tptp.hAPP_b128655177t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)))))) (forall ((X_2 tptp.nat) (F tptp.fun_na296811289t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_na6909291l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1910182691l_bool (tptp.hAPP_f1251101421l_bool tptp.member1931034374t_bool F) (tptp.pi_nat1489913205t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_n2138229611t_bool F X_2)) (tptp.hAPP_n2125602947l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr908190898t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr1204542610l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f715770888l_bool (tptp.hAPP_f1658660365l_bool tptp.member234726149t_bool F) (tptp.pi_Pro606697670t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_P94229072t_bool F X_2)) (tptp.hAPP_P878768990l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar1623257374t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar59992358l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1709974824l_bool (tptp.hAPP_f2017976695l_bool tptp.member870521227t_bool F) (tptp.pi_Arr220620154t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A425126512t_bool F X_2)) (tptp.hAPP_A850178878l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar624010239t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1998664965l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f826064725l_bool (tptp.hAPP_f1364091725l_bool tptp.member1124505298t_bool F) (tptp.pi_Arr2025169427t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A2107398813t_bool F X_2)) (tptp.hAPP_A1411662545l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1476023096t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bo2107365004l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1605957262l_bool (tptp.hAPP_f1525863565l_bool tptp.member344984203t_bool F) (tptp.pi_boo347863884t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_b489616086t_bool F X_2)) (tptp.hAPP_b1078573912l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)))))) (forall ((X_2 tptp.nat) (F tptp.fun_na998785244t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_na144630978l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2035897138l_bool (tptp.hAPP_f826277901l_bool tptp.member883057071t_bool F) (tptp.pi_nat1942897898t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_n1161265524t_bool F X_2)) (tptp.hAPP_n1134275860l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr324456707t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr80661467l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f573096205l_bool (tptp.hAPP_f2100194497l_bool tptp.member1190141424t_bool F) (tptp.pi_Pro469835097t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_P1708597583t_bool F X_2)) (tptp.hAPP_P171164537l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar1573071255t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar339057223l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1590435821l_bool (tptp.hAPP_f467104333l_bool tptp.member144328170t_bool F) (tptp.pi_Arr192316325t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool F X_2)) (tptp.hAPP_A442239897l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1431306493t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bo377688929l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f398210311l_bool (tptp.hAPP_f416878261l_bool tptp.member1133581546t_bool F) (tptp.pi_boo1111177555t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_b128655177t_bool F X_2)) (tptp.hAPP_b1272691967l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)))))) (forall ((X_2 tptp.nat) (F tptp.fun_na2092219207t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_na138495129l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f562872145l_bool (tptp.hAPP_f517158217l_bool tptp.member1683162164t_bool F) (tptp.pi_nat608045987t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_n2091767705t_bool F X_2)) (tptp.hAPP_n1555388849l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr1188951520t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr1411261120l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1470281014l_bool (tptp.hAPP_f666236045l_bool tptp.member1431564083t_bool F) (tptp.pi_Pro87132148t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_P50207614t_bool F X_2)) (tptp.hAPP_P1986703244l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar248516172t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar1071883092l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f585444950l_bool (tptp.hAPP_f868830675l_bool tptp.member346602425t_bool F) (tptp.pi_Arr494635176t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1610503070t_bool F X_2)) (tptp.hAPP_A1569148780l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar286530093t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1321653811l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f686820739l_bool (tptp.hAPP_f692361165l_bool tptp.member785631232t_bool F) (tptp.pi_Arr687740481t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1378093259t_bool F X_2)) (tptp.hAPP_A2084592127l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo559790694t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bo1445676730l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1211446716l_bool (tptp.hAPP_f1134773005l_bool tptp.member1782492345t_bool F) (tptp.pi_boo769613946t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_b1029214724t_bool F X_2)) (tptp.hAPP_b1777246598l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr392309332lt_nat) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr428964044t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f69887326l_bool (tptp.hAPP_f1736181859l_bool tptp.member1130928449lt_nat F) (tptp.pi_Pro847445418lt_nat A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P923196832lt_nat F X_2)) (tptp.hAPP_P1123315306t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr139923747le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr1701595235t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f963889529l_bool (tptp.hAPP_f1110468429l_bool tptp.member1449157750le_alt F) (tptp.pi_Pro910144055le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_P2117677505le_alt F X_2)) (tptp.hAPP_P588680495t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr1196455769le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr1407669585t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f125423203l_bool (tptp.hAPP_f434978669l_bool tptp.member902318790le_alt F) (tptp.pi_Pro262333359le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_P909886117le_alt F X_2)) (tptp.hAPP_P1328248815t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr1509342064e_indi) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr895221296i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2124588998l_bool (tptp.hAPP_f1187850253l_bool tptp.member1558233923e_indi F) (tptp.pi_Pro837265796e_indi A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_P276596750e_indi F X_2)) (tptp.hAPP_P1859429372i_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1616460421ol_nat) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu1077134171t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f462751375l_bool (tptp.hAPP_f1774924229l_bool tptp.member1103199858ol_nat F) (tptp.pi_fun614388187ol_nat A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1262704593ol_nat F X_2)) (tptp.hAPP_f595382009t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1228726322le_alt) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu1258557076t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1673349000l_bool (tptp.hAPP_f1710130701l_bool tptp.member555261573le_alt F) (tptp.pi_fun645774662le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f133306064le_alt F X_2)) (tptp.hAPP_f1745861984t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1224779274le_alt) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu2143707488t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1789660692l_bool (tptp.hAPP_f650195279l_bool tptp.member472043127le_alt F) (tptp.pi_fun1760679520le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f1965185878le_alt F X_2)) (tptp.hAPP_f1841273342t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1929591039e_indi) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu223278561i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f665932885l_bool (tptp.hAPP_f430646093l_bool tptp.member282602450e_indi F) (tptp.pi_fun520512275e_indi A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f602741661e_indi F X_2)) (tptp.hAPP_f391644589i_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu3835832l_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu916327706l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1867557646l_bool (tptp.hAPP_f1048573069l_bool tptp.member1020280587l_bool F) (tptp.pi_fun853738700l_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f995490902l_bool F X_2)) (tptp.hAPP_f1676084198l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu841105374ol_nat) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu477456066t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f461570100l_bool (tptp.hAPP_f1175388045l_bool tptp.member725377201ol_nat F) (tptp.pi_fun476373740ol_nat A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1842225014ol_nat F X_2)) (tptp.hAPP_f703394068t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu1431796761le_alt) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu1924348397t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f288351779l_bool (tptp.hAPP_f1909282029l_bool tptp.member149997830le_alt F) (tptp.pi_fun34562933le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f1273325419le_alt F X_2)) (tptp.hAPP_f369701637t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu67587555le_alt) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu1534804551t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f730470457l_bool (tptp.hAPP_f1494675789l_bool tptp.member786328118le_alt F) (tptp.pi_fun1511699953le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f773337979le_alt F X_2)) (tptp.hAPP_f234621849t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu562005862e_indi) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu2142850746i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f679138160l_bool (tptp.hAPP_f1006969351l_bool tptp.member1220706259e_indi F) (tptp.pi_fun1470523330e_indi A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f9587896e_indi F X_2)) (tptp.hAPP_f2010315474i_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu638310559l_bool) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu237781875l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1686510249l_bool (tptp.hAPP_f1930590713l_bool tptp.member340585612l_bool F) (tptp.pi_fun1035089915l_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f52567537l_bool F X_2)) (tptp.hAPP_f463104139l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu60852439ol_nat) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu1667513993t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1661238497l_bool (tptp.hAPP_f996655209l_bool tptp.member1799279044ol_nat F) (tptp.pi_fun1997317165ol_nat A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1333555235ol_nat F X_2)) (tptp.hAPP_f1550778407t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu356555872le_alt) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu2050451686t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2015026102l_bool (tptp.hAPP_f1071682701l_bool tptp.member599168435le_alt F) (tptp.pi_fun294122868le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f257198334le_alt F X_2)) (tptp.hAPP_f210821554t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu71747932le_alt) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu1566951310t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975067494l_bool (tptp.hAPP_f1946164211l_bool tptp.member169834185le_alt F) (tptp.pi_fun1429765554le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f398149800le_alt F X_2)) (tptp.hAPP_f2038412844t_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu748153389e_indi) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu2109152051i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2350467l_bool (tptp.hAPP_f1411422157l_bool tptp.member1247254528e_indi F) (tptp.pi_fun1807454273e_indi A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f350323403e_indi F X_2)) (tptp.hAPP_f399308031i_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu2098777574l_bool) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu1522163052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2047920444l_bool (tptp.hAPP_f59810573l_bool tptp.member1173995577l_bool F) (tptp.pi_fun1312540410l_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1572141188l_bool F X_2)) (tptp.hAPP_f414129720l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu1863781882l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool F) (tptp.pi_fun1746584570t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_f2008608496t_bool F X_2)) (tptp.hAPP_f1915815064l_bool B_1 X_2)))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)))))) _let_13 (forall ((Y_15 tptp.list_A114658244le_alt)) (=> (not (= Y_15 tptp.nil_Ar557011903le_alt)) (not (forall ((A_7 tptp.arrow_1893660431le_alt) (List_1 tptp.list_A114658244le_alt)) (not (= Y_15 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt A_7) List_1))))))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (not (= Xs_1 tptp.nil_Ar557011903le_alt)) (exists ((Y_9 tptp.arrow_1893660431le_alt) (Ys tptp.list_A114658244le_alt)) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) Ys))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool F) (tptp.pi_Pro1238944957t_bool A_1 (tptp.hAPP_f699791347l_bool tptp.cOMBK_138598520le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1178790471t_bool F X_2)) B_1))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr392309332lt_nat) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f69887326l_bool (tptp.hAPP_f1736181859l_bool tptp.member1130928449lt_nat F) (tptp.pi_Pro847445418lt_nat A_1 (tptp.hAPP_f795770633t_bool tptp.cOMBK_1524165667le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P923196832lt_nat F X_2)) B_1))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr139923747le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f963889529l_bool (tptp.hAPP_f1110468429l_bool tptp.member1449157750le_alt F) (tptp.pi_Pro910144055le_alt A_1 (tptp.hAPP_f480827367t_bool tptp.cOMBK_605104626le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_P2117677505le_alt F X_2)) B_1))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr1196455769le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Ar17477381t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f125423203l_bool (tptp.hAPP_f434978669l_bool tptp.member902318790le_alt F) (tptp.pi_Pro262333359le_alt A_1 (tptp.hAPP_f1074682185t_bool tptp.cOMBK_385683240le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_P909886117le_alt F X_2)) B_1))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr1509342064e_indi) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Ar1809396326i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2124588998l_bool (tptp.hAPP_f1187850253l_bool tptp.member1558233923e_indi F) (tptp.pi_Pro837265796e_indi A_1 (tptp.hAPP_f359069313i_bool tptp.cOMBK_1987648063le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_P276596750e_indi F X_2)) B_1))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1616460421ol_nat) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f462751375l_bool (tptp.hAPP_f1774924229l_bool tptp.member1103199858ol_nat F) (tptp.pi_fun614388187ol_nat A_1 (tptp.hAPP_f1195142808t_bool tptp.cOMBK_155500978t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1262704593ol_nat F X_2)) B_1))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1228726322le_alt) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1673349000l_bool (tptp.hAPP_f1710130701l_bool tptp.member555261573le_alt F) (tptp.pi_fun645774662le_alt A_1 (tptp.hAPP_f2020753944t_bool tptp.cOMBK_342345345t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f133306064le_alt F X_2)) B_1))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1224779274le_alt) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_Ar17477381t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1789660692l_bool (tptp.hAPP_f650195279l_bool tptp.member472043127le_alt F) (tptp.pi_fun1760679520le_alt A_1 (tptp.hAPP_f1027939672t_bool tptp.cOMBK_1334022583t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f1965185878le_alt F X_2)) B_1))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1929591039e_indi) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_Ar1809396326i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f665932885l_bool (tptp.hAPP_f430646093l_bool tptp.member282602450e_indi F) (tptp.pi_fun520512275e_indi A_1 (tptp.hAPP_f2022065970i_bool tptp.cOMBK_818801614t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f602741661e_indi F X_2)) B_1))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu3835832l_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1867557646l_bool (tptp.hAPP_f1048573069l_bool tptp.member1020280587l_bool F) (tptp.pi_fun853738700l_bool A_1 (tptp.hAPP_f1582869284l_bool tptp.cOMBK_542452487t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f995490902l_bool F X_2)) B_1))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu841105374ol_nat) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f461570100l_bool (tptp.hAPP_f1175388045l_bool tptp.member725377201ol_nat F) (tptp.pi_fun476373740ol_nat A_1 (tptp.hAPP_f779832389t_bool tptp.cOMBK_198318445t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1842225014ol_nat F X_2)) B_1))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu1431796761le_alt) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f288351779l_bool (tptp.hAPP_f1909282029l_bool tptp.member149997830le_alt F) (tptp.pi_fun34562933le_alt A_1 (tptp.hAPP_f1369154921t_bool tptp.cOMBK_1697579230t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f1273325419le_alt F X_2)) B_1))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu67587555le_alt) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_Ar17477381t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f730470457l_bool (tptp.hAPP_f1494675789l_bool tptp.member786328118le_alt F) (tptp.pi_fun1511699953le_alt A_1 (tptp.hAPP_f1227262031t_bool tptp.cOMBK_837265448t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f773337979le_alt F X_2)) B_1))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu562005862e_indi) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_Ar1809396326i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f679138160l_bool (tptp.hAPP_f1006969351l_bool tptp.member1220706259e_indi F) (tptp.pi_fun1470523330e_indi A_1 (tptp.hAPP_f1128827177i_bool tptp.cOMBK_814147665t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f9587896e_indi F X_2)) B_1))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu638310559l_bool) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1686510249l_bool (tptp.hAPP_f1930590713l_bool tptp.member340585612l_bool F) (tptp.pi_fun1035089915l_bool A_1 (tptp.hAPP_f1713038057l_bool tptp.cOMBK_118864600t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f52567537l_bool F X_2)) B_1))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu60852439ol_nat) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1661238497l_bool (tptp.hAPP_f996655209l_bool tptp.member1799279044ol_nat F) (tptp.pi_fun1997317165ol_nat A_1 (tptp.hAPP_f1319616198t_bool tptp.cOMBK_2008571104t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1333555235ol_nat F X_2)) B_1))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu356555872le_alt) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2015026102l_bool (tptp.hAPP_f1071682701l_bool tptp.member599168435le_alt F) (tptp.pi_fun294122868le_alt A_1 (tptp.hAPP_f2065367146t_bool tptp.cOMBK_1118451887t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f257198334le_alt F X_2)) B_1))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu71747932le_alt) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_Ar17477381t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975067494l_bool (tptp.hAPP_f1946164211l_bool tptp.member169834185le_alt F) (tptp.pi_fun1429765554le_alt A_1 (tptp.hAPP_f1552202630t_bool tptp.cOMBK_1544325605t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f398149800le_alt F X_2)) B_1))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu748153389e_indi) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_Ar1809396326i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2350467l_bool (tptp.hAPP_f1411422157l_bool tptp.member1247254528e_indi F) (tptp.pi_fun1807454273e_indi A_1 (tptp.hAPP_f448050564i_bool tptp.cOMBK_443335420t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f350323403e_indi F X_2)) B_1))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu2098777574l_bool) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2047920444l_bool (tptp.hAPP_f59810573l_bool tptp.member1173995577l_bool F) (tptp.pi_fun1312540410l_bool A_1 (tptp.hAPP_f1152234870l_bool tptp.cOMBK_1770320693t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1572141188l_bool F X_2)) B_1))))) (forall ((X_2 tptp.nat) (F tptp.fun_na654729482le_alt) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f237532692l_bool (tptp.hAPP_f1907966927l_bool tptp.member1393348599le_alt F) (tptp.pi_nat140973286le_alt A_1 (tptp.hAPP_f1409698632t_bool tptp.cOMBK_1882555695ol_nat B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_n216724700le_alt F X_2)) B_1))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr1116498339le_alt) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1446814201l_bool (tptp.hAPP_f141330253l_bool tptp.member278248694le_alt F) (tptp.pi_Pro1151594295le_alt A_1 (tptp.hAPP_f1290118551t_bool tptp.cOMBK_1555225330le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_P211644097le_alt F X_2)) B_1))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar245737999le_alt) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f583850777l_bool (tptp.hAPP_f109138393l_bool tptp.member2099084668le_alt F) (tptp.pi_Arr651462635le_alt A_1 (tptp.hAPP_f1761571331t_bool tptp.cOMBK_392407988le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt F X_2)) B_1))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar338949104le_alt) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1754488902l_bool (tptp.hAPP_f766019597l_bool tptp.member387840963le_alt F) (tptp.pi_Arr1460528004le_alt A_1 (tptp.hAPP_f480276746t_bool tptp.cOMBK_1650320063e_indi B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A899858958le_alt F X_2)) B_1))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1682907689le_alt) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1620711039l_bool (tptp.hAPP_f334747853l_bool tptp.member684813948le_alt F) (tptp.pi_boo7125949le_alt A_1 (tptp.hAPP_f1723896209t_bool tptp.cOMBK_5056120l_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_b2094455111le_alt F X_2)) B_1))))) (forall ((X_2 tptp.nat) (F tptp.fun_na296811289t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_fu3835832l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1910182691l_bool (tptp.hAPP_f1251101421l_bool tptp.member1931034374t_bool F) (tptp.pi_nat1489913205t_bool A_1 (tptp.hAPP_f784815496l_bool tptp.cOMBK_238368224ol_nat B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_n2138229611t_bool F X_2)) B_1))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr908190898t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_fu3835832l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f715770888l_bool (tptp.hAPP_f1658660365l_bool tptp.member234726149t_bool F) (tptp.pi_Pro606697670t_bool A_1 (tptp.hAPP_f1465094837l_bool tptp.cOMBK_448375169le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_P94229072t_bool F X_2)) B_1))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar1623257374t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_fu3835832l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1709974824l_bool (tptp.hAPP_f2017976695l_bool tptp.member870521227t_bool F) (tptp.pi_Arr220620154t_bool A_1 (tptp.hAPP_f1173384643l_bool tptp.cOMBK_757054181le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A425126512t_bool F X_2)) B_1))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar624010239t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_fu3835832l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f826064725l_bool (tptp.hAPP_f1364091725l_bool tptp.member1124505298t_bool F) (tptp.pi_Arr2025169427t_bool A_1 (tptp.hAPP_f1352816552l_bool tptp.cOMBK_1255579598e_indi B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A2107398813t_bool F X_2)) B_1))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1476023096t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_fu3835832l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1605957262l_bool (tptp.hAPP_f1525863565l_bool tptp.member344984203t_bool F) (tptp.pi_boo347863884t_bool A_1 (tptp.hAPP_f1322579375l_bool tptp.cOMBK_317366791l_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_b489616086t_bool F X_2)) B_1))))) (forall ((X_2 tptp.nat) (F tptp.fun_na998785244t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_fu638310559l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2035897138l_bool (tptp.hAPP_f826277901l_bool tptp.member883057071t_bool F) (tptp.pi_nat1942897898t_bool A_1 (tptp.hAPP_f1191475300l_bool tptp.cOMBK_214082799ol_nat B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_n1161265524t_bool F X_2)) B_1))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr324456707t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_fu638310559l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f573096205l_bool (tptp.hAPP_f2100194497l_bool tptp.member1190141424t_bool F) (tptp.pi_Pro469835097t_bool A_1 (tptp.hAPP_f908691129l_bool tptp.cOMBK_1807543090le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_P1708597583t_bool F X_2)) B_1))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar1573071255t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_fu638310559l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1590435821l_bool (tptp.hAPP_f467104333l_bool tptp.member144328170t_bool F) (tptp.pi_Arr192316325t_bool A_1 (tptp.hAPP_f1301449449l_bool tptp.cOMBK_935799668le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool F X_2)) B_1))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1431306493t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_fu638310559l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f398210311l_bool (tptp.hAPP_f416878261l_bool tptp.member1133581546t_bool F) (tptp.pi_boo1111177555t_bool A_1 (tptp.hAPP_f86272063l_bool tptp.cOMBK_650639032l_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_b128655177t_bool F X_2)) B_1))))) (forall ((X_2 tptp.nat) (F tptp.fun_na2092219207t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_fu2098777574l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f562872145l_bool (tptp.hAPP_f517158217l_bool tptp.member1683162164t_bool F) (tptp.pi_nat608045987t_bool A_1 (tptp.hAPP_f1268543752l_bool tptp.cOMBK_1485688882ol_nat B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_n2091767705t_bool F X_2)) B_1))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr1188951520t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_fu2098777574l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1470281014l_bool (tptp.hAPP_f666236045l_bool tptp.member1431564083t_bool F) (tptp.pi_Pro87132148t_bool A_1 (tptp.hAPP_f852696849l_bool tptp.cOMBK_1524832687le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_P50207614t_bool F X_2)) B_1))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar248516172t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_fu2098777574l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f585444950l_bool (tptp.hAPP_f868830675l_bool tptp.member346602425t_bool F) (tptp.pi_Arr494635176t_bool A_1 (tptp.hAPP_f1933295939l_bool tptp.cOMBK_1583688247le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1610503070t_bool F X_2)) B_1))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar286530093t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_fu2098777574l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f686820739l_bool (tptp.hAPP_f692361165l_bool tptp.member785631232t_bool F) (tptp.pi_Arr687740481t_bool A_1 (tptp.hAPP_f258290692l_bool tptp.cOMBK_1514079484e_indi B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1378093259t_bool F X_2)) B_1))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo559790694t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_fu2098777574l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1211446716l_bool (tptp.hAPP_f1134773005l_bool tptp.member1782492345t_bool F) (tptp.pi_boo769613946t_bool A_1 (tptp.hAPP_f369767947l_bool tptp.cOMBK_2030738485l_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_b1029214724t_bool F X_2)) B_1))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu638310559l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool F) (tptp.pi_fun1746584570t_bool A_1 (tptp.hAPP_f1104294872l_bool tptp.cOMBK_1701906001t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_f2008608496t_bool F X_2)) B_1))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_fu638310559l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool F) (tptp.pi_Arr959578316t_bool A_1 (tptp.hAPP_f1717907078l_bool tptp.cOMBK_1520063231e_indi B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1646126530t_bool F X_2)) B_1))))) (forall ((V_2 tptp.arrow_1893660431le_alt) (Va tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt V_2) Va))) (= (tptp.hAPP_l84111627le_alt (tptp.splice791716242le_alt _let_1) tptp.nil_Ar557011903le_alt) _let_1))) (forall ((F1 tptp.list_A114658244le_alt) (F2 tptp.fun_Ar1448189019le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.list_c1024366775le_alt F1 F2) tptp.nil_Ar557011903le_alt) F1)) (forall ((F1 tptp.list_A114658244le_alt) (F2 tptp.fun_Ar1448189019le_alt) (Aa tptp.arrow_1893660431le_alt) (List tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.list_c1024366775le_alt F1 F2) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Aa) List)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt F2 Aa) List))) (forall ((Pa tptp.fun_Pr486337689t_bool)) (= (exists ((X1 tptp.produc587761367le_alt)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X1))) (exists ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)))))) (forall ((Pa tptp.fun_Pr2067565481t_bool)) (= (exists ((X1 tptp.produc472769767le_alt)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X1))) (exists ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)))))) (forall ((X_37 tptp.arrow_1893660431le_alt) (Xs_51 tptp.list_A114658244le_alt) (Y_14 tptp.arrow_1893660431le_alt) (Ys_20 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_14))) (let ((_let_2 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_37))) (= (tptp.hAPP_l84111627le_alt (tptp.splice791716242le_alt (tptp.hAPP_l84111627le_alt _let_2 Xs_51)) (tptp.hAPP_l84111627le_alt _let_1 Ys_20)) (tptp.hAPP_l84111627le_alt _let_2 (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.splice791716242le_alt Xs_51) Ys_20))))))) (forall ((Ys_19 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.splice791716242le_alt tptp.nil_Ar557011903le_alt) Ys_19) Ys_19)) (forall ((Xs_50 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.splice791716242le_alt Xs_50) tptp.nil_Ar557011903le_alt) Xs_50)) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr1780397033l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool F) (tptp.pi_Pro1238944957t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1178790471t_bool F X_2)) (tptp.hAPP_P1103642805l_bool B_1 X_2)))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr392309332lt_nat) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr428964044t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f69887326l_bool (tptp.hAPP_f1736181859l_bool tptp.member1130928449lt_nat F) (tptp.pi_Pro847445418lt_nat A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P923196832lt_nat F X_2)) (tptp.hAPP_P1123315306t_bool B_1 X_2)))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr139923747le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr1701595235t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f963889529l_bool (tptp.hAPP_f1110468429l_bool tptp.member1449157750le_alt F) (tptp.pi_Pro910144055le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_P2117677505le_alt F X_2)) (tptp.hAPP_P588680495t_bool B_1 X_2)))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr1196455769le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr1407669585t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f125423203l_bool (tptp.hAPP_f434978669l_bool tptp.member902318790le_alt F) (tptp.pi_Pro262333359le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_P909886117le_alt F X_2)) (tptp.hAPP_P1328248815t_bool B_1 X_2)))))) (forall ((X_2 tptp.produc472769767le_alt) (F tptp.fun_Pr1509342064e_indi) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr895221296i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2124588998l_bool (tptp.hAPP_f1187850253l_bool tptp.member1558233923e_indi F) (tptp.pi_Pro837265796e_indi A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_P276596750e_indi F X_2)) (tptp.hAPP_P1859429372i_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1616460421ol_nat) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu1077134171t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f462751375l_bool (tptp.hAPP_f1774924229l_bool tptp.member1103199858ol_nat F) (tptp.pi_fun614388187ol_nat A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1262704593ol_nat F X_2)) (tptp.hAPP_f595382009t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1228726322le_alt) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu1258557076t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1673349000l_bool (tptp.hAPP_f1710130701l_bool tptp.member555261573le_alt F) (tptp.pi_fun645774662le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f133306064le_alt F X_2)) (tptp.hAPP_f1745861984t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1224779274le_alt) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu2143707488t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1789660692l_bool (tptp.hAPP_f650195279l_bool tptp.member472043127le_alt F) (tptp.pi_fun1760679520le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f1965185878le_alt F X_2)) (tptp.hAPP_f1841273342t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu1929591039e_indi) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu223278561i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f665932885l_bool (tptp.hAPP_f430646093l_bool tptp.member282602450e_indi F) (tptp.pi_fun520512275e_indi A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f602741661e_indi F X_2)) (tptp.hAPP_f391644589i_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu3835832l_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu916327706l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1867557646l_bool (tptp.hAPP_f1048573069l_bool tptp.member1020280587l_bool F) (tptp.pi_fun853738700l_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f995490902l_bool F X_2)) (tptp.hAPP_f1676084198l_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu841105374ol_nat) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu477456066t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f461570100l_bool (tptp.hAPP_f1175388045l_bool tptp.member725377201ol_nat F) (tptp.pi_fun476373740ol_nat A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1842225014ol_nat F X_2)) (tptp.hAPP_f703394068t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu1431796761le_alt) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu1924348397t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f288351779l_bool (tptp.hAPP_f1909282029l_bool tptp.member149997830le_alt F) (tptp.pi_fun34562933le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f1273325419le_alt F X_2)) (tptp.hAPP_f369701637t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu67587555le_alt) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu1534804551t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f730470457l_bool (tptp.hAPP_f1494675789l_bool tptp.member786328118le_alt F) (tptp.pi_fun1511699953le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f773337979le_alt F X_2)) (tptp.hAPP_f234621849t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu562005862e_indi) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu2142850746i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f679138160l_bool (tptp.hAPP_f1006969351l_bool tptp.member1220706259e_indi F) (tptp.pi_fun1470523330e_indi A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f9587896e_indi F X_2)) (tptp.hAPP_f2010315474i_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (F tptp.fun_fu638310559l_bool) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu237781875l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1686510249l_bool (tptp.hAPP_f1930590713l_bool tptp.member340585612l_bool F) (tptp.pi_fun1035089915l_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f52567537l_bool F X_2)) (tptp.hAPP_f463104139l_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu60852439ol_nat) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu1667513993t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1661238497l_bool (tptp.hAPP_f996655209l_bool tptp.member1799279044ol_nat F) (tptp.pi_fun1997317165ol_nat A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1333555235ol_nat F X_2)) (tptp.hAPP_f1550778407t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu356555872le_alt) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu2050451686t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2015026102l_bool (tptp.hAPP_f1071682701l_bool tptp.member599168435le_alt F) (tptp.pi_fun294122868le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f257198334le_alt F X_2)) (tptp.hAPP_f210821554t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu71747932le_alt) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu1566951310t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975067494l_bool (tptp.hAPP_f1946164211l_bool tptp.member169834185le_alt F) (tptp.pi_fun1429765554le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f398149800le_alt F X_2)) (tptp.hAPP_f2038412844t_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu748153389e_indi) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu2109152051i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2350467l_bool (tptp.hAPP_f1411422157l_bool tptp.member1247254528e_indi F) (tptp.pi_fun1807454273e_indi A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f350323403e_indi F X_2)) (tptp.hAPP_f399308031i_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (F tptp.fun_fu2098777574l_bool) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu1522163052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2047920444l_bool (tptp.hAPP_f59810573l_bool tptp.member1173995577l_bool F) (tptp.pi_fun1312540410l_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1572141188l_bool F X_2)) (tptp.hAPP_f414129720l_bool B_1 X_2)))))) (forall ((X_2 tptp.nat) (F tptp.fun_na654729482le_alt) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_na998785244t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f237532692l_bool (tptp.hAPP_f1907966927l_bool tptp.member1393348599le_alt F) (tptp.pi_nat140973286le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_n216724700le_alt F X_2)) (tptp.hAPP_n1161265524t_bool B_1 X_2)))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr1116498339le_alt) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr324456707t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1446814201l_bool (tptp.hAPP_f141330253l_bool tptp.member278248694le_alt F) (tptp.pi_Pro1151594295le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_P211644097le_alt F X_2)) (tptp.hAPP_P1708597583t_bool B_1 X_2)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar245737999le_alt) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar1573071255t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f583850777l_bool (tptp.hAPP_f109138393l_bool tptp.member2099084668le_alt F) (tptp.pi_Arr651462635le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt F X_2)) (tptp.hAPP_A1601437999t_bool B_1 X_2)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar338949104le_alt) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1754488902l_bool (tptp.hAPP_f766019597l_bool tptp.member387840963le_alt F) (tptp.pi_Arr1460528004le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A899858958le_alt F X_2)) (tptp.hAPP_A1646126530t_bool B_1 X_2)))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1682907689le_alt) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bo1431306493t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1620711039l_bool (tptp.hAPP_f334747853l_bool tptp.member684813948le_alt F) (tptp.pi_boo7125949le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_b2094455111le_alt F X_2)) (tptp.hAPP_b128655177t_bool B_1 X_2)))))) (forall ((X_2 tptp.nat) (F tptp.fun_na296811289t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_na6909291l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1910182691l_bool (tptp.hAPP_f1251101421l_bool tptp.member1931034374t_bool F) (tptp.pi_nat1489913205t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_n2138229611t_bool F X_2)) (tptp.hAPP_n2125602947l_bool B_1 X_2)))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr908190898t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr1204542610l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f715770888l_bool (tptp.hAPP_f1658660365l_bool tptp.member234726149t_bool F) (tptp.pi_Pro606697670t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_P94229072t_bool F X_2)) (tptp.hAPP_P878768990l_bool B_1 X_2)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar1623257374t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar59992358l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1709974824l_bool (tptp.hAPP_f2017976695l_bool tptp.member870521227t_bool F) (tptp.pi_Arr220620154t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A425126512t_bool F X_2)) (tptp.hAPP_A850178878l_bool B_1 X_2)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar624010239t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1998664965l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f826064725l_bool (tptp.hAPP_f1364091725l_bool tptp.member1124505298t_bool F) (tptp.pi_Arr2025169427t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A2107398813t_bool F X_2)) (tptp.hAPP_A1411662545l_bool B_1 X_2)))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1476023096t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bo2107365004l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1605957262l_bool (tptp.hAPP_f1525863565l_bool tptp.member344984203t_bool F) (tptp.pi_boo347863884t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_b489616086t_bool F X_2)) (tptp.hAPP_b1078573912l_bool B_1 X_2)))))) (forall ((X_2 tptp.nat) (F tptp.fun_na998785244t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_na144630978l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f2035897138l_bool (tptp.hAPP_f826277901l_bool tptp.member883057071t_bool F) (tptp.pi_nat1942897898t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_n1161265524t_bool F X_2)) (tptp.hAPP_n1134275860l_bool B_1 X_2)))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr324456707t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr80661467l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f573096205l_bool (tptp.hAPP_f2100194497l_bool tptp.member1190141424t_bool F) (tptp.pi_Pro469835097t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_P1708597583t_bool F X_2)) (tptp.hAPP_P171164537l_bool B_1 X_2)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar1573071255t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar339057223l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1590435821l_bool (tptp.hAPP_f467104333l_bool tptp.member144328170t_bool F) (tptp.pi_Arr192316325t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool F X_2)) (tptp.hAPP_A442239897l_bool B_1 X_2)))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo1431306493t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bo377688929l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f398210311l_bool (tptp.hAPP_f416878261l_bool tptp.member1133581546t_bool F) (tptp.pi_boo1111177555t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_b128655177t_bool F X_2)) (tptp.hAPP_b1272691967l_bool B_1 X_2)))))) (forall ((X_2 tptp.nat) (F tptp.fun_na2092219207t_bool) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_na138495129l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f562872145l_bool (tptp.hAPP_f517158217l_bool tptp.member1683162164t_bool F) (tptp.pi_nat608045987t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_n2091767705t_bool F X_2)) (tptp.hAPP_n1555388849l_bool B_1 X_2)))))) (forall ((X_2 tptp.produc587761367le_alt) (F tptp.fun_Pr1188951520t_bool) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr1411261120l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1470281014l_bool (tptp.hAPP_f666236045l_bool tptp.member1431564083t_bool F) (tptp.pi_Pro87132148t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_P50207614t_bool F X_2)) (tptp.hAPP_P1986703244l_bool B_1 X_2)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (F tptp.fun_Ar248516172t_bool) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar1071883092l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f585444950l_bool (tptp.hAPP_f868830675l_bool tptp.member346602425t_bool F) (tptp.pi_Arr494635176t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1610503070t_bool F X_2)) (tptp.hAPP_A1569148780l_bool B_1 X_2)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar286530093t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1321653811l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f686820739l_bool (tptp.hAPP_f692361165l_bool tptp.member785631232t_bool F) (tptp.pi_Arr687740481t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1378093259t_bool F X_2)) (tptp.hAPP_A2084592127l_bool B_1 X_2)))))) (forall ((X_2 tptp.bool) (F tptp.fun_bo559790694t_bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bo1445676730l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1211446716l_bool (tptp.hAPP_f1134773005l_bool tptp.member1782492345t_bool F) (tptp.pi_boo769613946t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_b1029214724t_bool F X_2)) (tptp.hAPP_b1777246598l_bool B_1 X_2)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (F tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu1863781882l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool F) (tptp.pi_fun1746584570t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_f2008608496t_bool F X_2)) (tptp.hAPP_f1915815064l_bool B_1 X_2)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (F tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1474557608l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool F) (tptp.pi_Arr959578316t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1646126530t_bool F X_2)) (tptp.hAPP_A897398598l_bool B_1 X_2)))))) (forall ((F tptp.fun_Pr392309332lt_nat) (B_1 tptp.fun_Pr428964044t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P923196832lt_nat F X_1)) (tptp.hAPP_P1123315306t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f69887326l_bool (tptp.hAPP_f1736181859l_bool tptp.member1130928449lt_nat F) (tptp.pi_Pro847445418lt_nat A_1 B_1))))) (forall ((F tptp.fun_Pr139923747le_alt) (B_1 tptp.fun_Pr1701595235t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_P2117677505le_alt F X_1)) (tptp.hAPP_P588680495t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f963889529l_bool (tptp.hAPP_f1110468429l_bool tptp.member1449157750le_alt F) (tptp.pi_Pro910144055le_alt A_1 B_1))))) (forall ((F tptp.fun_Pr1196455769le_alt) (B_1 tptp.fun_Pr1407669585t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_P909886117le_alt F X_1)) (tptp.hAPP_P1328248815t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f125423203l_bool (tptp.hAPP_f434978669l_bool tptp.member902318790le_alt F) (tptp.pi_Pro262333359le_alt A_1 B_1))))) (forall ((F tptp.fun_Pr1509342064e_indi) (B_1 tptp.fun_Pr895221296i_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_P276596750e_indi F X_1)) (tptp.hAPP_P1859429372i_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2124588998l_bool (tptp.hAPP_f1187850253l_bool tptp.member1558233923e_indi F) (tptp.pi_Pro837265796e_indi A_1 B_1))))) (forall ((F tptp.fun_fu1616460421ol_nat) (B_1 tptp.fun_fu1077134171t_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1262704593ol_nat F X_1)) (tptp.hAPP_f595382009t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f462751375l_bool (tptp.hAPP_f1774924229l_bool tptp.member1103199858ol_nat F) (tptp.pi_fun614388187ol_nat A_1 B_1))))) (forall ((F tptp.fun_fu1228726322le_alt) (B_1 tptp.fun_fu1258557076t_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f133306064le_alt F X_1)) (tptp.hAPP_f1745861984t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1673349000l_bool (tptp.hAPP_f1710130701l_bool tptp.member555261573le_alt F) (tptp.pi_fun645774662le_alt A_1 B_1))))) (forall ((F tptp.fun_fu1224779274le_alt) (B_1 tptp.fun_fu2143707488t_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f1965185878le_alt F X_1)) (tptp.hAPP_f1841273342t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1789660692l_bool (tptp.hAPP_f650195279l_bool tptp.member472043127le_alt F) (tptp.pi_fun1760679520le_alt A_1 B_1))))) (forall ((F tptp.fun_fu1929591039e_indi) (B_1 tptp.fun_fu223278561i_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f602741661e_indi F X_1)) (tptp.hAPP_f391644589i_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f665932885l_bool (tptp.hAPP_f430646093l_bool tptp.member282602450e_indi F) (tptp.pi_fun520512275e_indi A_1 B_1))))) (forall ((F tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu916327706l_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f995490902l_bool F X_1)) (tptp.hAPP_f1676084198l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1867557646l_bool (tptp.hAPP_f1048573069l_bool tptp.member1020280587l_bool F) (tptp.pi_fun853738700l_bool A_1 B_1))))) (forall ((F tptp.fun_fu841105374ol_nat) (B_1 tptp.fun_fu477456066t_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1842225014ol_nat F X_1)) (tptp.hAPP_f703394068t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f461570100l_bool (tptp.hAPP_f1175388045l_bool tptp.member725377201ol_nat F) (tptp.pi_fun476373740ol_nat A_1 B_1))))) (forall ((F tptp.fun_fu1431796761le_alt) (B_1 tptp.fun_fu1924348397t_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f1273325419le_alt F X_1)) (tptp.hAPP_f369701637t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f288351779l_bool (tptp.hAPP_f1909282029l_bool tptp.member149997830le_alt F) (tptp.pi_fun34562933le_alt A_1 B_1))))) (forall ((F tptp.fun_fu67587555le_alt) (B_1 tptp.fun_fu1534804551t_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f773337979le_alt F X_1)) (tptp.hAPP_f234621849t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f730470457l_bool (tptp.hAPP_f1494675789l_bool tptp.member786328118le_alt F) (tptp.pi_fun1511699953le_alt A_1 B_1))))) (forall ((F tptp.fun_fu562005862e_indi) (B_1 tptp.fun_fu2142850746i_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f9587896e_indi F X_1)) (tptp.hAPP_f2010315474i_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f679138160l_bool (tptp.hAPP_f1006969351l_bool tptp.member1220706259e_indi F) (tptp.pi_fun1470523330e_indi A_1 B_1))))) (forall ((F tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu237781875l_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f52567537l_bool F X_1)) (tptp.hAPP_f463104139l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1686510249l_bool (tptp.hAPP_f1930590713l_bool tptp.member340585612l_bool F) (tptp.pi_fun1035089915l_bool A_1 B_1))))) (forall ((F tptp.fun_fu60852439ol_nat) (B_1 tptp.fun_fu1667513993t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1333555235ol_nat F X_1)) (tptp.hAPP_f1550778407t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1661238497l_bool (tptp.hAPP_f996655209l_bool tptp.member1799279044ol_nat F) (tptp.pi_fun1997317165ol_nat A_1 B_1))))) (forall ((F tptp.fun_fu356555872le_alt) (B_1 tptp.fun_fu2050451686t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f257198334le_alt F X_1)) (tptp.hAPP_f210821554t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2015026102l_bool (tptp.hAPP_f1071682701l_bool tptp.member599168435le_alt F) (tptp.pi_fun294122868le_alt A_1 B_1))))) (forall ((F tptp.fun_fu71747932le_alt) (B_1 tptp.fun_fu1566951310t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f398149800le_alt F X_1)) (tptp.hAPP_f2038412844t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f975067494l_bool (tptp.hAPP_f1946164211l_bool tptp.member169834185le_alt F) (tptp.pi_fun1429765554le_alt A_1 B_1))))) (forall ((F tptp.fun_fu748153389e_indi) (B_1 tptp.fun_fu2109152051i_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f350323403e_indi F X_1)) (tptp.hAPP_f399308031i_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2350467l_bool (tptp.hAPP_f1411422157l_bool tptp.member1247254528e_indi F) (tptp.pi_fun1807454273e_indi A_1 B_1))))) (forall ((F tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu1522163052l_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1572141188l_bool F X_1)) (tptp.hAPP_f414129720l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2047920444l_bool (tptp.hAPP_f59810573l_bool tptp.member1173995577l_bool F) (tptp.pi_fun1312540410l_bool A_1 B_1))))) (forall ((F tptp.fun_na654729482le_alt) (B_1 tptp.fun_na998785244t_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_n216724700le_alt F X_1)) (tptp.hAPP_n1161265524t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f237532692l_bool (tptp.hAPP_f1907966927l_bool tptp.member1393348599le_alt F) (tptp.pi_nat140973286le_alt A_1 B_1))))) (forall ((F tptp.fun_Pr1116498339le_alt) (B_1 tptp.fun_Pr324456707t_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_P211644097le_alt F X_1)) (tptp.hAPP_P1708597583t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1446814201l_bool (tptp.hAPP_f141330253l_bool tptp.member278248694le_alt F) (tptp.pi_Pro1151594295le_alt A_1 B_1))))) (forall ((F tptp.fun_Ar245737999le_alt) (B_1 tptp.fun_Ar1573071255t_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt F X_1)) (tptp.hAPP_A1601437999t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f583850777l_bool (tptp.hAPP_f109138393l_bool tptp.member2099084668le_alt F) (tptp.pi_Arr651462635le_alt A_1 B_1))))) (forall ((F tptp.fun_Ar338949104le_alt) (B_1 tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A899858958le_alt F X_1)) (tptp.hAPP_A1646126530t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1754488902l_bool (tptp.hAPP_f766019597l_bool tptp.member387840963le_alt F) (tptp.pi_Arr1460528004le_alt A_1 B_1))))) (forall ((F tptp.fun_bo1682907689le_alt) (B_1 tptp.fun_bo1431306493t_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_b2094455111le_alt F X_1)) (tptp.hAPP_b128655177t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1620711039l_bool (tptp.hAPP_f334747853l_bool tptp.member684813948le_alt F) (tptp.pi_boo7125949le_alt A_1 B_1))))) (forall ((F tptp.fun_na296811289t_bool) (B_1 tptp.fun_na6909291l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_n2138229611t_bool F X_1)) (tptp.hAPP_n2125602947l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1910182691l_bool (tptp.hAPP_f1251101421l_bool tptp.member1931034374t_bool F) (tptp.pi_nat1489913205t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr908190898t_bool) (B_1 tptp.fun_Pr1204542610l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_P94229072t_bool F X_1)) (tptp.hAPP_P878768990l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f715770888l_bool (tptp.hAPP_f1658660365l_bool tptp.member234726149t_bool F) (tptp.pi_Pro606697670t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar1623257374t_bool) (B_1 tptp.fun_Ar59992358l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A425126512t_bool F X_1)) (tptp.hAPP_A850178878l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1709974824l_bool (tptp.hAPP_f2017976695l_bool tptp.member870521227t_bool F) (tptp.pi_Arr220620154t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar624010239t_bool) (B_1 tptp.fun_Ar1998664965l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A2107398813t_bool F X_1)) (tptp.hAPP_A1411662545l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f826064725l_bool (tptp.hAPP_f1364091725l_bool tptp.member1124505298t_bool F) (tptp.pi_Arr2025169427t_bool A_1 B_1))))) (forall ((F tptp.fun_bo1476023096t_bool) (B_1 tptp.fun_bo2107365004l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_b489616086t_bool F X_1)) (tptp.hAPP_b1078573912l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1605957262l_bool (tptp.hAPP_f1525863565l_bool tptp.member344984203t_bool F) (tptp.pi_boo347863884t_bool A_1 B_1))))) (forall ((F tptp.fun_na998785244t_bool) (B_1 tptp.fun_na144630978l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_n1161265524t_bool F X_1)) (tptp.hAPP_n1134275860l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2035897138l_bool (tptp.hAPP_f826277901l_bool tptp.member883057071t_bool F) (tptp.pi_nat1942897898t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr324456707t_bool) (B_1 tptp.fun_Pr80661467l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_P1708597583t_bool F X_1)) (tptp.hAPP_P171164537l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f573096205l_bool (tptp.hAPP_f2100194497l_bool tptp.member1190141424t_bool F) (tptp.pi_Pro469835097t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar1573071255t_bool) (B_1 tptp.fun_Ar339057223l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool F X_1)) (tptp.hAPP_A442239897l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1590435821l_bool (tptp.hAPP_f467104333l_bool tptp.member144328170t_bool F) (tptp.pi_Arr192316325t_bool A_1 B_1))))) (forall ((F tptp.fun_bo1431306493t_bool) (B_1 tptp.fun_bo377688929l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_b128655177t_bool F X_1)) (tptp.hAPP_b1272691967l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f398210311l_bool (tptp.hAPP_f416878261l_bool tptp.member1133581546t_bool F) (tptp.pi_boo1111177555t_bool A_1 B_1))))) (forall ((F tptp.fun_na2092219207t_bool) (B_1 tptp.fun_na138495129l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_n2091767705t_bool F X_1)) (tptp.hAPP_n1555388849l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f562872145l_bool (tptp.hAPP_f517158217l_bool tptp.member1683162164t_bool F) (tptp.pi_nat608045987t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr1188951520t_bool) (B_1 tptp.fun_Pr1411261120l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_P50207614t_bool F X_1)) (tptp.hAPP_P1986703244l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1470281014l_bool (tptp.hAPP_f666236045l_bool tptp.member1431564083t_bool F) (tptp.pi_Pro87132148t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar248516172t_bool) (B_1 tptp.fun_Ar1071883092l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1610503070t_bool F X_1)) (tptp.hAPP_A1569148780l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f585444950l_bool (tptp.hAPP_f868830675l_bool tptp.member346602425t_bool F) (tptp.pi_Arr494635176t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar286530093t_bool) (B_1 tptp.fun_Ar1321653811l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1378093259t_bool F X_1)) (tptp.hAPP_A2084592127l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f686820739l_bool (tptp.hAPP_f692361165l_bool tptp.member785631232t_bool F) (tptp.pi_Arr687740481t_bool A_1 B_1))))) (forall ((F tptp.fun_bo559790694t_bool) (B_1 tptp.fun_bo1445676730l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_b1029214724t_bool F X_1)) (tptp.hAPP_b1777246598l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1211446716l_bool (tptp.hAPP_f1134773005l_bool tptp.member1782492345t_bool F) (tptp.pi_boo769613946t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr1780397033l_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1178790471t_bool F X_1)) (tptp.hAPP_P1103642805l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool F) (tptp.pi_Pro1238944957t_bool A_1 B_1))))) (forall ((F tptp.fun_fu2114379172t_bool) (B_1 tptp.fun_fu1863781882l_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_f2008608496t_bool F X_1)) (tptp.hAPP_f1915815064l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool F) (tptp.pi_fun1746584570t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar274636406t_bool) (B_1 tptp.fun_Ar1474557608l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1646126530t_bool F X_1)) (tptp.hAPP_A897398598l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool F) (tptp.pi_Arr959578316t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr392309332lt_nat) (B_1 tptp.fun_nat_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P923196832lt_nat F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f69887326l_bool (tptp.hAPP_f1736181859l_bool tptp.member1130928449lt_nat F) (tptp.pi_Pro847445418lt_nat A_1 (tptp.hAPP_f795770633t_bool tptp.cOMBK_1524165667le_alt B_1)))))) (forall ((F tptp.fun_Pr139923747le_alt) (B_1 tptp.fun_Pr486337689t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_P2117677505le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f963889529l_bool (tptp.hAPP_f1110468429l_bool tptp.member1449157750le_alt F) (tptp.pi_Pro910144055le_alt A_1 (tptp.hAPP_f480827367t_bool tptp.cOMBK_605104626le_alt B_1)))))) (forall ((F tptp.fun_Pr1196455769le_alt) (B_1 tptp.fun_Ar17477381t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_P909886117le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f125423203l_bool (tptp.hAPP_f434978669l_bool tptp.member902318790le_alt F) (tptp.pi_Pro262333359le_alt A_1 (tptp.hAPP_f1074682185t_bool tptp.cOMBK_385683240le_alt B_1)))))) (forall ((F tptp.fun_Pr1509342064e_indi) (B_1 tptp.fun_Ar1809396326i_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_P276596750e_indi F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f2124588998l_bool (tptp.hAPP_f1187850253l_bool tptp.member1558233923e_indi F) (tptp.pi_Pro837265796e_indi A_1 (tptp.hAPP_f359069313i_bool tptp.cOMBK_1987648063le_alt B_1)))))) (forall ((F tptp.fun_fu1616460421ol_nat) (B_1 tptp.fun_nat_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1262704593ol_nat F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f462751375l_bool (tptp.hAPP_f1774924229l_bool tptp.member1103199858ol_nat F) (tptp.pi_fun614388187ol_nat A_1 (tptp.hAPP_f1195142808t_bool tptp.cOMBK_155500978t_bool B_1)))))) (forall ((F tptp.fun_fu1228726322le_alt) (B_1 tptp.fun_Pr486337689t_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f133306064le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1673349000l_bool (tptp.hAPP_f1710130701l_bool tptp.member555261573le_alt F) (tptp.pi_fun645774662le_alt A_1 (tptp.hAPP_f2020753944t_bool tptp.cOMBK_342345345t_bool B_1)))))) (forall ((F tptp.fun_fu1224779274le_alt) (B_1 tptp.fun_Ar17477381t_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f1965185878le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1789660692l_bool (tptp.hAPP_f650195279l_bool tptp.member472043127le_alt F) (tptp.pi_fun1760679520le_alt A_1 (tptp.hAPP_f1027939672t_bool tptp.cOMBK_1334022583t_bool B_1)))))) (forall ((F tptp.fun_fu1929591039e_indi) (B_1 tptp.fun_Ar1809396326i_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f602741661e_indi F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f665932885l_bool (tptp.hAPP_f430646093l_bool tptp.member282602450e_indi F) (tptp.pi_fun520512275e_indi A_1 (tptp.hAPP_f2022065970i_bool tptp.cOMBK_818801614t_bool B_1)))))) (forall ((F tptp.fun_fu3835832l_bool) (B_1 tptp.fun_bool_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f995490902l_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1867557646l_bool (tptp.hAPP_f1048573069l_bool tptp.member1020280587l_bool F) (tptp.pi_fun853738700l_bool A_1 (tptp.hAPP_f1582869284l_bool tptp.cOMBK_542452487t_bool B_1)))))) (forall ((F tptp.fun_fu841105374ol_nat) (B_1 tptp.fun_nat_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1842225014ol_nat F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f461570100l_bool (tptp.hAPP_f1175388045l_bool tptp.member725377201ol_nat F) (tptp.pi_fun476373740ol_nat A_1 (tptp.hAPP_f779832389t_bool tptp.cOMBK_198318445t_bool B_1)))))) (forall ((F tptp.fun_fu1431796761le_alt) (B_1 tptp.fun_Pr486337689t_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f1273325419le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f288351779l_bool (tptp.hAPP_f1909282029l_bool tptp.member149997830le_alt F) (tptp.pi_fun34562933le_alt A_1 (tptp.hAPP_f1369154921t_bool tptp.cOMBK_1697579230t_bool B_1)))))) (forall ((F tptp.fun_fu67587555le_alt) (B_1 tptp.fun_Ar17477381t_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f773337979le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f730470457l_bool (tptp.hAPP_f1494675789l_bool tptp.member786328118le_alt F) (tptp.pi_fun1511699953le_alt A_1 (tptp.hAPP_f1227262031t_bool tptp.cOMBK_837265448t_bool B_1)))))) (forall ((F tptp.fun_fu562005862e_indi) (B_1 tptp.fun_Ar1809396326i_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f9587896e_indi F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f679138160l_bool (tptp.hAPP_f1006969351l_bool tptp.member1220706259e_indi F) (tptp.pi_fun1470523330e_indi A_1 (tptp.hAPP_f1128827177i_bool tptp.cOMBK_814147665t_bool B_1)))))) (forall ((F tptp.fun_fu638310559l_bool) (B_1 tptp.fun_bool_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f52567537l_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1686510249l_bool (tptp.hAPP_f1930590713l_bool tptp.member340585612l_bool F) (tptp.pi_fun1035089915l_bool A_1 (tptp.hAPP_f1713038057l_bool tptp.cOMBK_118864600t_bool B_1)))))) (forall ((F tptp.fun_fu60852439ol_nat) (B_1 tptp.fun_nat_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1333555235ol_nat F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1661238497l_bool (tptp.hAPP_f996655209l_bool tptp.member1799279044ol_nat F) (tptp.pi_fun1997317165ol_nat A_1 (tptp.hAPP_f1319616198t_bool tptp.cOMBK_2008571104t_bool B_1)))))) (forall ((F tptp.fun_fu356555872le_alt) (B_1 tptp.fun_Pr486337689t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f257198334le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f2015026102l_bool (tptp.hAPP_f1071682701l_bool tptp.member599168435le_alt F) (tptp.pi_fun294122868le_alt A_1 (tptp.hAPP_f2065367146t_bool tptp.cOMBK_1118451887t_bool B_1)))))) (forall ((F tptp.fun_fu71747932le_alt) (B_1 tptp.fun_Ar17477381t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f398149800le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f975067494l_bool (tptp.hAPP_f1946164211l_bool tptp.member169834185le_alt F) (tptp.pi_fun1429765554le_alt A_1 (tptp.hAPP_f1552202630t_bool tptp.cOMBK_1544325605t_bool B_1)))))) (forall ((F tptp.fun_fu748153389e_indi) (B_1 tptp.fun_Ar1809396326i_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f350323403e_indi F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f2350467l_bool (tptp.hAPP_f1411422157l_bool tptp.member1247254528e_indi F) (tptp.pi_fun1807454273e_indi A_1 (tptp.hAPP_f448050564i_bool tptp.cOMBK_443335420t_bool B_1)))))) (forall ((F tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_bool_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1572141188l_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f2047920444l_bool (tptp.hAPP_f59810573l_bool tptp.member1173995577l_bool F) (tptp.pi_fun1312540410l_bool A_1 (tptp.hAPP_f1152234870l_bool tptp.cOMBK_1770320693t_bool B_1)))))) (forall ((F tptp.fun_na654729482le_alt) (B_1 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_n216724700le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f237532692l_bool (tptp.hAPP_f1907966927l_bool tptp.member1393348599le_alt F) (tptp.pi_nat140973286le_alt A_1 (tptp.hAPP_f1409698632t_bool tptp.cOMBK_1882555695ol_nat B_1)))))) (forall ((F tptp.fun_Pr1116498339le_alt) (B_1 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_P211644097le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1446814201l_bool (tptp.hAPP_f141330253l_bool tptp.member278248694le_alt F) (tptp.pi_Pro1151594295le_alt A_1 (tptp.hAPP_f1290118551t_bool tptp.cOMBK_1555225330le_alt B_1)))))) (forall ((F tptp.fun_Ar245737999le_alt) (B_1 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f583850777l_bool (tptp.hAPP_f109138393l_bool tptp.member2099084668le_alt F) (tptp.pi_Arr651462635le_alt A_1 (tptp.hAPP_f1761571331t_bool tptp.cOMBK_392407988le_alt B_1)))))) (forall ((F tptp.fun_Ar338949104le_alt) (B_1 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A899858958le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1754488902l_bool (tptp.hAPP_f766019597l_bool tptp.member387840963le_alt F) (tptp.pi_Arr1460528004le_alt A_1 (tptp.hAPP_f480276746t_bool tptp.cOMBK_1650320063e_indi B_1)))))) (forall ((F tptp.fun_bo1682907689le_alt) (B_1 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_b2094455111le_alt F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1620711039l_bool (tptp.hAPP_f334747853l_bool tptp.member684813948le_alt F) (tptp.pi_boo7125949le_alt A_1 (tptp.hAPP_f1723896209t_bool tptp.cOMBK_5056120l_bool B_1)))))) (forall ((F tptp.fun_na296811289t_bool) (B_1 tptp.fun_fu3835832l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_n2138229611t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1910182691l_bool (tptp.hAPP_f1251101421l_bool tptp.member1931034374t_bool F) (tptp.pi_nat1489913205t_bool A_1 (tptp.hAPP_f784815496l_bool tptp.cOMBK_238368224ol_nat B_1)))))) (forall ((F tptp.fun_Pr908190898t_bool) (B_1 tptp.fun_fu3835832l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_P94229072t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f715770888l_bool (tptp.hAPP_f1658660365l_bool tptp.member234726149t_bool F) (tptp.pi_Pro606697670t_bool A_1 (tptp.hAPP_f1465094837l_bool tptp.cOMBK_448375169le_alt B_1)))))) (forall ((F tptp.fun_Ar1623257374t_bool) (B_1 tptp.fun_fu3835832l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A425126512t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1709974824l_bool (tptp.hAPP_f2017976695l_bool tptp.member870521227t_bool F) (tptp.pi_Arr220620154t_bool A_1 (tptp.hAPP_f1173384643l_bool tptp.cOMBK_757054181le_alt B_1)))))) (forall ((F tptp.fun_Ar624010239t_bool) (B_1 tptp.fun_fu3835832l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A2107398813t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f826064725l_bool (tptp.hAPP_f1364091725l_bool tptp.member1124505298t_bool F) (tptp.pi_Arr2025169427t_bool A_1 (tptp.hAPP_f1352816552l_bool tptp.cOMBK_1255579598e_indi B_1)))))) (forall ((F tptp.fun_bo1476023096t_bool) (B_1 tptp.fun_fu3835832l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_b489616086t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1605957262l_bool (tptp.hAPP_f1525863565l_bool tptp.member344984203t_bool F) (tptp.pi_boo347863884t_bool A_1 (tptp.hAPP_f1322579375l_bool tptp.cOMBK_317366791l_bool B_1)))))) (forall ((F tptp.fun_na998785244t_bool) (B_1 tptp.fun_fu638310559l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_n1161265524t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f2035897138l_bool (tptp.hAPP_f826277901l_bool tptp.member883057071t_bool F) (tptp.pi_nat1942897898t_bool A_1 (tptp.hAPP_f1191475300l_bool tptp.cOMBK_214082799ol_nat B_1)))))) (forall ((F tptp.fun_Pr324456707t_bool) (B_1 tptp.fun_fu638310559l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_P1708597583t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f573096205l_bool (tptp.hAPP_f2100194497l_bool tptp.member1190141424t_bool F) (tptp.pi_Pro469835097t_bool A_1 (tptp.hAPP_f908691129l_bool tptp.cOMBK_1807543090le_alt B_1)))))) (forall ((F tptp.fun_Ar1573071255t_bool) (B_1 tptp.fun_fu638310559l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1590435821l_bool (tptp.hAPP_f467104333l_bool tptp.member144328170t_bool F) (tptp.pi_Arr192316325t_bool A_1 (tptp.hAPP_f1301449449l_bool tptp.cOMBK_935799668le_alt B_1)))))) (forall ((F tptp.fun_bo1431306493t_bool) (B_1 tptp.fun_fu638310559l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_b128655177t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f398210311l_bool (tptp.hAPP_f416878261l_bool tptp.member1133581546t_bool F) (tptp.pi_boo1111177555t_bool A_1 (tptp.hAPP_f86272063l_bool tptp.cOMBK_650639032l_bool B_1)))))) (forall ((F tptp.fun_na2092219207t_bool) (B_1 tptp.fun_fu2098777574l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_n2091767705t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f562872145l_bool (tptp.hAPP_f517158217l_bool tptp.member1683162164t_bool F) (tptp.pi_nat608045987t_bool A_1 (tptp.hAPP_f1268543752l_bool tptp.cOMBK_1485688882ol_nat B_1)))))) (forall ((F tptp.fun_Pr1188951520t_bool) (B_1 tptp.fun_fu2098777574l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_P50207614t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1470281014l_bool (tptp.hAPP_f666236045l_bool tptp.member1431564083t_bool F) (tptp.pi_Pro87132148t_bool A_1 (tptp.hAPP_f852696849l_bool tptp.cOMBK_1524832687le_alt B_1)))))) (forall ((F tptp.fun_Ar248516172t_bool) (B_1 tptp.fun_fu2098777574l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1610503070t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f585444950l_bool (tptp.hAPP_f868830675l_bool tptp.member346602425t_bool F) (tptp.pi_Arr494635176t_bool A_1 (tptp.hAPP_f1933295939l_bool tptp.cOMBK_1583688247le_alt B_1)))))) (forall ((F tptp.fun_Ar286530093t_bool) (B_1 tptp.fun_fu2098777574l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1378093259t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f686820739l_bool (tptp.hAPP_f692361165l_bool tptp.member785631232t_bool F) (tptp.pi_Arr687740481t_bool A_1 (tptp.hAPP_f258290692l_bool tptp.cOMBK_1514079484e_indi B_1)))))) (forall ((F tptp.fun_bo559790694t_bool) (B_1 tptp.fun_fu2098777574l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_b1029214724t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f1211446716l_bool (tptp.hAPP_f1134773005l_bool tptp.member1782492345t_bool F) (tptp.pi_boo769613946t_bool A_1 (tptp.hAPP_f369767947l_bool tptp.cOMBK_2030738485l_bool B_1)))))) (forall ((F tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_bool_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1178790471t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool F) (tptp.pi_Pro1238944957t_bool A_1 (tptp.hAPP_f699791347l_bool tptp.cOMBK_138598520le_alt B_1)))))) (forall ((F tptp.fun_fu2114379172t_bool) (B_1 tptp.fun_fu638310559l_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_f2008608496t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool F) (tptp.pi_fun1746584570t_bool A_1 (tptp.hAPP_f1104294872l_bool tptp.cOMBK_1701906001t_bool B_1)))))) (forall ((F tptp.fun_Ar274636406t_bool) (B_1 tptp.fun_fu638310559l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1646126530t_bool F X_1)) B_1)))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool F) (tptp.pi_Arr959578316t_bool A_1 (tptp.hAPP_f1717907078l_bool tptp.cOMBK_1520063231e_indi B_1)))))) (forall ((F tptp.fun_Pr392309332lt_nat) (B_1 tptp.fun_Pr428964044t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P923196832lt_nat F X_1)) (tptp.hAPP_P1123315306t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f69887326l_bool (tptp.hAPP_f1736181859l_bool tptp.member1130928449lt_nat F) (tptp.pi_Pro847445418lt_nat A_1 B_1))))) (forall ((F tptp.fun_Pr139923747le_alt) (B_1 tptp.fun_Pr1701595235t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_P2117677505le_alt F X_1)) (tptp.hAPP_P588680495t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f963889529l_bool (tptp.hAPP_f1110468429l_bool tptp.member1449157750le_alt F) (tptp.pi_Pro910144055le_alt A_1 B_1))))) (forall ((F tptp.fun_Pr1196455769le_alt) (B_1 tptp.fun_Pr1407669585t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_P909886117le_alt F X_1)) (tptp.hAPP_P1328248815t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f125423203l_bool (tptp.hAPP_f434978669l_bool tptp.member902318790le_alt F) (tptp.pi_Pro262333359le_alt A_1 B_1))))) (forall ((F tptp.fun_Pr1509342064e_indi) (B_1 tptp.fun_Pr895221296i_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_P276596750e_indi F X_1)) (tptp.hAPP_P1859429372i_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2124588998l_bool (tptp.hAPP_f1187850253l_bool tptp.member1558233923e_indi F) (tptp.pi_Pro837265796e_indi A_1 B_1))))) (forall ((F tptp.fun_fu1616460421ol_nat) (B_1 tptp.fun_fu1077134171t_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1262704593ol_nat F X_1)) (tptp.hAPP_f595382009t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f462751375l_bool (tptp.hAPP_f1774924229l_bool tptp.member1103199858ol_nat F) (tptp.pi_fun614388187ol_nat A_1 B_1))))) (forall ((F tptp.fun_fu1228726322le_alt) (B_1 tptp.fun_fu1258557076t_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f133306064le_alt F X_1)) (tptp.hAPP_f1745861984t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1673349000l_bool (tptp.hAPP_f1710130701l_bool tptp.member555261573le_alt F) (tptp.pi_fun645774662le_alt A_1 B_1))))) (forall ((F tptp.fun_fu1224779274le_alt) (B_1 tptp.fun_fu2143707488t_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f1965185878le_alt F X_1)) (tptp.hAPP_f1841273342t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1789660692l_bool (tptp.hAPP_f650195279l_bool tptp.member472043127le_alt F) (tptp.pi_fun1760679520le_alt A_1 B_1))))) (forall ((F tptp.fun_fu1929591039e_indi) (B_1 tptp.fun_fu223278561i_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f602741661e_indi F X_1)) (tptp.hAPP_f391644589i_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f665932885l_bool (tptp.hAPP_f430646093l_bool tptp.member282602450e_indi F) (tptp.pi_fun520512275e_indi A_1 B_1))))) (forall ((F tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu916327706l_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f995490902l_bool F X_1)) (tptp.hAPP_f1676084198l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1867557646l_bool (tptp.hAPP_f1048573069l_bool tptp.member1020280587l_bool F) (tptp.pi_fun853738700l_bool A_1 B_1))))) (forall ((F tptp.fun_fu841105374ol_nat) (B_1 tptp.fun_fu477456066t_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1842225014ol_nat F X_1)) (tptp.hAPP_f703394068t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f461570100l_bool (tptp.hAPP_f1175388045l_bool tptp.member725377201ol_nat F) (tptp.pi_fun476373740ol_nat A_1 B_1))))) (forall ((F tptp.fun_fu1431796761le_alt) (B_1 tptp.fun_fu1924348397t_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f1273325419le_alt F X_1)) (tptp.hAPP_f369701637t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f288351779l_bool (tptp.hAPP_f1909282029l_bool tptp.member149997830le_alt F) (tptp.pi_fun34562933le_alt A_1 B_1))))) (forall ((F tptp.fun_fu67587555le_alt) (B_1 tptp.fun_fu1534804551t_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f773337979le_alt F X_1)) (tptp.hAPP_f234621849t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f730470457l_bool (tptp.hAPP_f1494675789l_bool tptp.member786328118le_alt F) (tptp.pi_fun1511699953le_alt A_1 B_1))))) (forall ((F tptp.fun_fu562005862e_indi) (B_1 tptp.fun_fu2142850746i_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f9587896e_indi F X_1)) (tptp.hAPP_f2010315474i_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f679138160l_bool (tptp.hAPP_f1006969351l_bool tptp.member1220706259e_indi F) (tptp.pi_fun1470523330e_indi A_1 B_1))))) (forall ((F tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu237781875l_bool) (A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f52567537l_bool F X_1)) (tptp.hAPP_f463104139l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1686510249l_bool (tptp.hAPP_f1930590713l_bool tptp.member340585612l_bool F) (tptp.pi_fun1035089915l_bool A_1 B_1))))) (forall ((F tptp.fun_fu60852439ol_nat) (B_1 tptp.fun_fu1667513993t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f1333555235ol_nat F X_1)) (tptp.hAPP_f1550778407t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1661238497l_bool (tptp.hAPP_f996655209l_bool tptp.member1799279044ol_nat F) (tptp.pi_fun1997317165ol_nat A_1 B_1))))) (forall ((F tptp.fun_fu356555872le_alt) (B_1 tptp.fun_fu2050451686t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_f257198334le_alt F X_1)) (tptp.hAPP_f210821554t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2015026102l_bool (tptp.hAPP_f1071682701l_bool tptp.member599168435le_alt F) (tptp.pi_fun294122868le_alt A_1 B_1))))) (forall ((F tptp.fun_fu71747932le_alt) (B_1 tptp.fun_fu1566951310t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hAPP_f398149800le_alt F X_1)) (tptp.hAPP_f2038412844t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f975067494l_bool (tptp.hAPP_f1946164211l_bool tptp.member169834185le_alt F) (tptp.pi_fun1429765554le_alt A_1 B_1))))) (forall ((F tptp.fun_fu748153389e_indi) (B_1 tptp.fun_fu2109152051i_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hAPP_f350323403e_indi F X_1)) (tptp.hAPP_f399308031i_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2350467l_bool (tptp.hAPP_f1411422157l_bool tptp.member1247254528e_indi F) (tptp.pi_fun1807454273e_indi A_1 B_1))))) (forall ((F tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu1522163052l_bool) (A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1572141188l_bool F X_1)) (tptp.hAPP_f414129720l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2047920444l_bool (tptp.hAPP_f59810573l_bool tptp.member1173995577l_bool F) (tptp.pi_fun1312540410l_bool A_1 B_1))))) (forall ((F tptp.fun_na654729482le_alt) (B_1 tptp.fun_na998785244t_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_n216724700le_alt F X_1)) (tptp.hAPP_n1161265524t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f237532692l_bool (tptp.hAPP_f1907966927l_bool tptp.member1393348599le_alt F) (tptp.pi_nat140973286le_alt A_1 B_1))))) (forall ((F tptp.fun_Pr1116498339le_alt) (B_1 tptp.fun_Pr324456707t_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_P211644097le_alt F X_1)) (tptp.hAPP_P1708597583t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1446814201l_bool (tptp.hAPP_f141330253l_bool tptp.member278248694le_alt F) (tptp.pi_Pro1151594295le_alt A_1 B_1))))) (forall ((F tptp.fun_Ar245737999le_alt) (B_1 tptp.fun_Ar1573071255t_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt F X_1)) (tptp.hAPP_A1601437999t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f583850777l_bool (tptp.hAPP_f109138393l_bool tptp.member2099084668le_alt F) (tptp.pi_Arr651462635le_alt A_1 B_1))))) (forall ((F tptp.fun_Ar338949104le_alt) (B_1 tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A899858958le_alt F X_1)) (tptp.hAPP_A1646126530t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1754488902l_bool (tptp.hAPP_f766019597l_bool tptp.member387840963le_alt F) (tptp.pi_Arr1460528004le_alt A_1 B_1))))) (forall ((F tptp.fun_bo1682907689le_alt) (B_1 tptp.fun_bo1431306493t_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_b2094455111le_alt F X_1)) (tptp.hAPP_b128655177t_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1620711039l_bool (tptp.hAPP_f334747853l_bool tptp.member684813948le_alt F) (tptp.pi_boo7125949le_alt A_1 B_1))))) (forall ((F tptp.fun_na296811289t_bool) (B_1 tptp.fun_na6909291l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_n2138229611t_bool F X_1)) (tptp.hAPP_n2125602947l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1910182691l_bool (tptp.hAPP_f1251101421l_bool tptp.member1931034374t_bool F) (tptp.pi_nat1489913205t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr908190898t_bool) (B_1 tptp.fun_Pr1204542610l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_P94229072t_bool F X_1)) (tptp.hAPP_P878768990l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f715770888l_bool (tptp.hAPP_f1658660365l_bool tptp.member234726149t_bool F) (tptp.pi_Pro606697670t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar1623257374t_bool) (B_1 tptp.fun_Ar59992358l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A425126512t_bool F X_1)) (tptp.hAPP_A850178878l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1709974824l_bool (tptp.hAPP_f2017976695l_bool tptp.member870521227t_bool F) (tptp.pi_Arr220620154t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar624010239t_bool) (B_1 tptp.fun_Ar1998664965l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_A2107398813t_bool F X_1)) (tptp.hAPP_A1411662545l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f826064725l_bool (tptp.hAPP_f1364091725l_bool tptp.member1124505298t_bool F) (tptp.pi_Arr2025169427t_bool A_1 B_1))))) (forall ((F tptp.fun_bo1476023096t_bool) (B_1 tptp.fun_bo2107365004l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hAPP_b489616086t_bool F X_1)) (tptp.hAPP_b1078573912l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1605957262l_bool (tptp.hAPP_f1525863565l_bool tptp.member344984203t_bool F) (tptp.pi_boo347863884t_bool A_1 B_1))))) (forall ((F tptp.fun_na998785244t_bool) (B_1 tptp.fun_na144630978l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_n1161265524t_bool F X_1)) (tptp.hAPP_n1134275860l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f2035897138l_bool (tptp.hAPP_f826277901l_bool tptp.member883057071t_bool F) (tptp.pi_nat1942897898t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr324456707t_bool) (B_1 tptp.fun_Pr80661467l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_P1708597583t_bool F X_1)) (tptp.hAPP_P171164537l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f573096205l_bool (tptp.hAPP_f2100194497l_bool tptp.member1190141424t_bool F) (tptp.pi_Pro469835097t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar1573071255t_bool) (B_1 tptp.fun_Ar339057223l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1601437999t_bool F X_1)) (tptp.hAPP_A442239897l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1590435821l_bool (tptp.hAPP_f467104333l_bool tptp.member144328170t_bool F) (tptp.pi_Arr192316325t_bool A_1 B_1))))) (forall ((F tptp.fun_bo1431306493t_bool) (B_1 tptp.fun_bo377688929l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_b128655177t_bool F X_1)) (tptp.hAPP_b1272691967l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f398210311l_bool (tptp.hAPP_f416878261l_bool tptp.member1133581546t_bool F) (tptp.pi_boo1111177555t_bool A_1 B_1))))) (forall ((F tptp.fun_na2092219207t_bool) (B_1 tptp.fun_na138495129l_bool) (A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_n2091767705t_bool F X_1)) (tptp.hAPP_n1555388849l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f562872145l_bool (tptp.hAPP_f517158217l_bool tptp.member1683162164t_bool F) (tptp.pi_nat608045987t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr1188951520t_bool) (B_1 tptp.fun_Pr1411261120l_bool) (A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_P50207614t_bool F X_1)) (tptp.hAPP_P1986703244l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1470281014l_bool (tptp.hAPP_f666236045l_bool tptp.member1431564083t_bool F) (tptp.pi_Pro87132148t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar248516172t_bool) (B_1 tptp.fun_Ar1071883092l_bool) (A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1610503070t_bool F X_1)) (tptp.hAPP_A1569148780l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f585444950l_bool (tptp.hAPP_f868830675l_bool tptp.member346602425t_bool F) (tptp.pi_Arr494635176t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar286530093t_bool) (B_1 tptp.fun_Ar1321653811l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_A1378093259t_bool F X_1)) (tptp.hAPP_A2084592127l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f686820739l_bool (tptp.hAPP_f692361165l_bool tptp.member785631232t_bool F) (tptp.pi_Arr687740481t_bool A_1 B_1))))) (forall ((F tptp.fun_bo559790694t_bool) (B_1 tptp.fun_bo1445676730l_bool) (A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hAPP_b1029214724t_bool F X_1)) (tptp.hAPP_b1777246598l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f1211446716l_bool (tptp.hAPP_f1134773005l_bool tptp.member1782492345t_bool F) (tptp.pi_boo769613946t_bool A_1 B_1))))) (forall ((F tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr1780397033l_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1178790471t_bool F X_1)) (tptp.hAPP_P1103642805l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool F) (tptp.pi_Pro1238944957t_bool A_1 B_1))))) (forall ((F tptp.fun_fu2114379172t_bool) (B_1 tptp.fun_fu1863781882l_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_f2008608496t_bool F X_1)) (tptp.hAPP_f1915815064l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool F) (tptp.pi_fun1746584570t_bool A_1 B_1))))) (forall ((F tptp.fun_Ar274636406t_bool) (B_1 tptp.fun_Ar1474557608l_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hAPP_A1646126530t_bool F X_1)) (tptp.hAPP_A897398598l_bool B_1 X_1))))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool F) (tptp.pi_Arr959578316t_bool A_1 B_1))))) (forall ((B_1 tptp.fun_Pr1780397033l_bool) (G tptp.fun_Pr2067565481t_bool) (F tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.pi_Pro1238944957t_bool A_1 B_1))) (=> (forall ((W tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt W) A_1)) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool F W)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool G W))))) (= (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool F) _let_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool G) _let_1)))))) (forall ((B_1 tptp.fun_fu1863781882l_bool) (F tptp.fun_fu2114379172t_bool) (G tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu3835832l_bool)) (let ((_let_1 (tptp.pi_fun1746584570t_bool A_1 B_1))) (=> (forall ((W tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool W) A_1)) (= (tptp.hAPP_f2008608496t_bool F W) (tptp.hAPP_f2008608496t_bool G W)))) (= (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool F) _let_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool G) _let_1)))))) (forall ((B_1 tptp.fun_Ar1474557608l_bool) (F tptp.fun_Ar274636406t_bool) (G tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (let ((_let_1 (tptp.pi_Arr959578316t_bool A_1 B_1))) (=> (forall ((W tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi W) A_1)) (= (tptp.hAPP_A1646126530t_bool F W) (tptp.hAPP_A1646126530t_bool G W)))) (= (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool F) _let_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool G) _let_1)))))) (forall ((P_2 tptp.produc587761367le_alt)) (not (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (not (= P_2 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)))))) (forall ((P_2 tptp.produc472769767le_alt)) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (not (= P_2 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)))))) (forall ((Y_13 tptp.produc587761367le_alt)) (not (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (not (= Y_13 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)))))) (forall ((Y_13 tptp.produc472769767le_alt)) (not (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (not (= Y_13 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)))))) (forall ((S_1 tptp.fun_Pr486337689t_bool) (R_1 tptp.fun_Pr486337689t_bool)) (= (forall ((X_1 tptp.list_A114658244le_alt) (Xa tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 R_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 S_1))))) (= R_1 S_1))) (forall ((S_1 tptp.fun_Pr2067565481t_bool) (R_1 tptp.fun_Pr2067565481t_bool)) (= (forall ((X_1 tptp.arrow_1893660431le_alt) (Xa tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 R_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 S_1))))) (= R_1 S_1))) (forall ((X_36 tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.insert1391384533le_alt X_36) tptp.nil_Ar557011903le_alt) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_36) tptp.nil_Ar557011903le_alt))) (forall ((Pa tptp.fun_li1109619974t_bool) (Xs_1 tptp.list_A114658244le_alt)) (=> (not (= Xs_1 tptp.nil_Ar557011903le_alt)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) tptp.nil_Ar557011903le_alt)))) (=> (forall ((X_1 tptp.arrow_1893660431le_alt) (Xs_17 tptp.list_A114658244le_alt)) (=> (not (= Xs_17 tptp.nil_Ar557011903le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Xs_17)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Xs_17)))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Xs_1)))))) (forall ((X_2 tptp.nat) (A_1 tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool A_1 X_2)))) (forall ((X_2 tptp.produc587761367le_alt) (A_1 tptp.fun_Pr486337689t_bool)) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool A_1 X_2)))) (forall ((X_2 tptp.arrow_1893660431le_alt) (A_1 tptp.fun_Ar17477381t_bool)) (= (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool A_1 X_2)))) (forall ((X_2 tptp.arrow_856714788e_indi) (A_1 tptp.fun_Ar1809396326i_bool)) (= (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_A997847300i_bool A_1 X_2)))) (forall ((X_2 tptp.bool) (A_1 tptp.fun_bool_bool)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_bool_bool A_1 X_2)))) (forall ((X_2 tptp.produc472769767le_alt) (A_1 tptp.fun_Pr2067565481t_bool)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool A_1 X_2)))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_fu3835832l_bool)) (= (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f995490902l_bool A_1 X_2)))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_fu638310559l_bool)) (= (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool A_1 X_2)))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (= (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool A_1 X_2)))) (forall ((Pa tptp.fun_nat_bool)) (= (tptp.collect_nat Pa) Pa)) (forall ((Pa tptp.fun_Ar17477381t_bool)) (= (tptp.collec12892580le_alt Pa) Pa)) (forall ((Pa tptp.fun_Ar1809396326i_bool)) (= (tptp.collec1597001935e_indi Pa) Pa)) (forall ((Pa tptp.fun_fu638310559l_bool)) (= (tptp.collec2125531966t_bool Pa) Pa)) (forall ((X_1 tptp.fun_Pr2067565481t_bool) (Xa tptp.arrow_1893660431le_alt) (Xb_1 tptp.arrow_1893660431le_alt)) (= (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool (tptp.produc410835390t_bool X_1) Xa) Xb_1)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool X_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Xa) Xb_1))))) (forall ((F tptp.fun_Pr486337689t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_P1894408759t_bool F (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool (tptp.produc1907517876t_bool F) Aa) Ba)))) (forall ((F tptp.fun_Pr2067565481t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_P1178790471t_bool F (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool (tptp.produc410835390t_bool F) Aa) Ba)))) (forall ((F tptp.fun_Pr486337689t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool (tptp.produc1907517876t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool F (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))))) (forall ((F tptp.fun_Pr2067565481t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool (tptp.produc410835390t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool F (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))) (forall ((F tptp.fun_Pr486337689t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool (tptp.produc1907517876t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool F (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))))) (forall ((F tptp.fun_Pr2067565481t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool (tptp.produc410835390t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool F (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))) (forall ((X_35 tptp.arrow_1893660431le_alt) (Xs_49 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_49)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.insert1391384533le_alt X_35) Xs_49))))) (forall ((F tptp.fun_Pr2067565481t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (= (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool (tptp.produc410835390t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool F (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.null_A791782855le_alt tptp.nil_Ar557011903le_alt)) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.null_A791782855le_alt Xs_1)) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (= Xs_1 tptp.nil_Ar557011903le_alt) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.null_A791782855le_alt Xs_1)))) (forall ((X_34 tptp.arrow_1893660431le_alt) (Xs_48 tptp.list_A114658244le_alt)) (not (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.null_A791782855le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_34) Xs_48))))) _let_12 (forall ((Aa tptp.list_A114658244le_alt) (X_2 tptp.list_l2028444773le_alt) (Ba tptp.list_A114658244le_alt) (Y_2 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_f417980453t_bool tptp.lexord616819815le_alt R_2))) (= (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Aa) X_2)) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Ba) Y_2))) _let_1)) (or (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba)) R_2)) (and (= Aa Ba) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt X_2) Y_2)) _let_1))))))) (forall ((Aa tptp.arrow_1893660431le_alt) (X_2 tptp.list_A114658244le_alt) (Ba tptp.arrow_1893660431le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Aa) X_2)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Ba) Y_2))) _let_1)) (or (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) R_2)) (and (= Aa Ba) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) _let_1))))))) (forall ((Xs_47 tptp.list_A114658244le_alt)) (=> (not (= Xs_47 tptp.nil_Ar557011903le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_47)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_47)))))) _let_9 (forall ((X_2 tptp.fun_fu2114379172t_bool)) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool tptp.top_to827110112l_bool X_2))) (forall ((X_2 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool tptp.top_to1312956197l_bool X_2))) (forall ((X_2 tptp.fun_Ar274636406t_bool)) (tptp.hBOOL (tptp.hAPP_f995490902l_bool tptp.top_to553140914l_bool X_2))) (forall ((X_2 tptp.produc472769767le_alt)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool tptp.top_to1138392227t_bool X_2))) (forall ((X_2 tptp.arrow_856714788e_indi)) (tptp.hBOOL (tptp.hAPP_A997847300i_bool tptp.top_to788185952i_bool X_2))) (forall ((X_2 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool tptp.top_to814956427t_bool X_2))) (forall ((A_1 tptp.fun_Pr2067565481t_bool)) (= (tptp.pi_Pro1238944957t_bool A_1 (tptp.hAPP_f699791347l_bool tptp.cOMBK_138598520le_alt tptp.top_to1647826457l_bool)) tptp.top_to1312956197l_bool)) (forall ((A_1 tptp.fun_fu3835832l_bool)) (= (tptp.pi_fun1746584570t_bool A_1 (tptp.hAPP_f1104294872l_bool tptp.cOMBK_1701906001t_bool tptp.top_to1312956197l_bool)) tptp.top_to827110112l_bool)) (forall ((A_1 tptp.fun_Ar1809396326i_bool)) (= (tptp.pi_Arr959578316t_bool A_1 (tptp.hAPP_f1717907078l_bool tptp.cOMBK_1520063231e_indi tptp.top_to1312956197l_bool)) tptp.top_to553140914l_bool)) (= (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt) (forall ((X_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) tptp.nil_Ar557011903le_alt)) (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))))) (forall ((X_32 tptp.arrow_1893660431le_alt) (Xs_45 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_32))) (let ((_let_2 (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_45)))) (let ((_let_3 (= Xs_45 tptp.nil_Ar557011903le_alt))) (and (=> _let_3 (= _let_2 tptp.nil_Ar557011903le_alt)) (=> (not _let_3) (= _let_2 (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_45))))))))) (forall ((X_31 tptp.arrow_1893660431le_alt) (Xs_44 tptp.list_A114658244le_alt)) (=> (= Xs_44 tptp.nil_Ar557011903le_alt) (= (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_31) Xs_44)) X_31))) (forall ((X_30 tptp.arrow_1893660431le_alt) (Xs_43 tptp.list_A114658244le_alt)) (=> (not (= Xs_43 tptp.nil_Ar557011903le_alt)) (= (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_30) Xs_43)) (tptp.last_A488133080le_alt Xs_43)))) (forall ((Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt tptp.nil_Ar557011903le_alt) Y_2)) (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))) (exists ((A_7 tptp.arrow_1893660431le_alt) (X_1 tptp.list_A114658244le_alt)) (= Y_2 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt A_7) X_1))))) (forall ((X_2 tptp.list_l2028444773le_alt) (Y_2 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_f417980453t_bool tptp.lexord616819815le_alt R_2))) (=> (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (or (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)) R_2)) (= A_7 B_6) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt B_6) A_7)) R_2)))) (or (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt X_2) Y_2)) _let_1)) (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Y_2) X_2)) _let_1)))))) (forall ((X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (or (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) R_2)) (= A_7 B_6) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt B_6) A_7)) R_2)))) (or (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) _let_1)) (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Y_2) X_2)) _let_1)))))) (forall ((Xs_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.list_A114658244le_alt)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) X_1)) R_2)))) (not (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Xs_1)) (tptp.hAPP_f417980453t_bool tptp.lexord616819815le_alt R_2)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) X_1)) R_2)))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Xs_1)) (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2)))))) (forall ((X_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) tptp.top_top_fun_nat_bool))) (forall ((X_2 tptp.produc587761367le_alt)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) tptp.top_to1339422355t_bool))) (forall ((X_2 tptp.bool)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) tptp.top_to1647826457l_bool))) _let_8 (forall ((X_2 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) tptp.top_to814956427t_bool))) (forall ((X_2 tptp.produc472769767le_alt)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) tptp.top_to1138392227t_bool))) (forall ((X_2 tptp.fun_Ar274636406t_bool)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) tptp.top_to553140914l_bool))) (forall ((X_2 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) tptp.top_to1312956197l_bool))) (forall ((X_2 tptp.fun_fu2114379172t_bool)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) tptp.top_to827110112l_bool))) (forall ((X_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) tptp.top_top_fun_nat_bool))) (forall ((X_2 tptp.produc587761367le_alt)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) tptp.top_to1339422355t_bool))) (forall ((X_2 tptp.bool)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) tptp.top_to1647826457l_bool))) (forall ((X_2 tptp.arrow_856714788e_indi)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) tptp.top_to788185952i_bool))) (forall ((X_2 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) tptp.top_to814956427t_bool))) (forall ((X_2 tptp.produc472769767le_alt)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) tptp.top_to1138392227t_bool))) (forall ((X_2 tptp.fun_Ar274636406t_bool)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) tptp.top_to553140914l_bool))) (forall ((X_2 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) tptp.top_to1312956197l_bool))) (forall ((X_2 tptp.fun_fu2114379172t_bool)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) tptp.top_to827110112l_bool))) (forall ((X_2 tptp.fun_fu2114379172t_bool)) (= (tptp.hBOOL (tptp.hAPP_f1572141188l_bool tptp.top_to827110112l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 tptp.fun_Pr2067565481t_bool)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool tptp.top_to1312956197l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 tptp.fun_Ar274636406t_bool)) (= (tptp.hBOOL (tptp.hAPP_f995490902l_bool tptp.top_to553140914l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 tptp.produc472769767le_alt)) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool tptp.top_to1138392227t_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 tptp.arrow_856714788e_indi)) (= (tptp.hBOOL (tptp.hAPP_A997847300i_bool tptp.top_to788185952i_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 tptp.arrow_1893660431le_alt)) (= (tptp.hBOOL (tptp.hAPP_A1748732503t_bool tptp.top_to814956427t_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (=> (not (= Xs_1 tptp.nil_Ar557011903le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_1)) (= (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt (tptp.hAPP_f1592536333t_bool (tptp.hAPP_f2127477477t_bool tptp.cOMBB_388242475le_alt tptp.fNot) (tptp.hAPP_A2063800319t_bool (tptp.hAPP_f2095778909t_bool tptp.cOMBC_1826973210t_bool tptp.fequal1590852494le_alt) (tptp.last_A488133080le_alt Xs_1)))) Xs_1) (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_1))))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool tptp.equal_631514850le_alt Xs_1) tptp.nil_Ar557011903le_alt)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.null_A791782855le_alt Xs_1)))) (forall ((Pa tptp.fun_Ar17477381t_bool)) (= (tptp.partit758395576le_alt Pa tptp.nil_Ar557011903le_alt) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt))) (forall ((Xs_42 tptp.list_A114658244le_alt)) (=> (not (= Xs_42 tptp.nil_Ar557011903le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_42)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt (tptp.last_A488133080le_alt Xs_42)) tptp.nil_Ar557011903le_alt)) Xs_42))) (forall ((Xs_1 tptp.list_A114658244le_alt) (L_1 tptp.list_A114658244le_alt) (Pa tptp.fun_Ar17477381t_bool) (X_2 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.takeWh967109304le_alt Pa))) (=> (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_2))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) L_1))) (tptp.hAPP_l84111627le_alt _let_1 Xs_1))))) (forall ((Ys_18 tptp.list_A114658244le_alt) (Us_2 tptp.list_A114658244le_alt) (Xs_41 tptp.list_A114658244le_alt) (Xs1_1 tptp.list_A114658244le_alt) (Zs_4 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_41))) (=> (= (tptp.hAPP_l84111627le_alt _let_1 Xs1_1) Zs_4) (=> (= Ys_18 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs1_1) Us_2)) (= (tptp.hAPP_l84111627le_alt _let_1 Ys_18) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Zs_4) Us_2)))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (Xs_1 tptp.list_A114658244le_alt) (Zs_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_1) Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Zs_1) Xs_1)) (= Ys_1 Zs_1))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (Zs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1))) (= (= (tptp.hAPP_l84111627le_alt _let_1 Ys_1) (tptp.hAPP_l84111627le_alt _let_1 Zs_1)) (= Ys_1 Zs_1)))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (Zs_1 tptp.list_A114658244le_alt) (Ts tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Zs_1) Ts)) (exists ((Us tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Us))) (or (and (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Zs_1) Us)) (= (tptp.hAPP_l84111627le_alt _let_1 Ys_1) Ts)) (and (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Us) Zs_1) (= Ys_1 (tptp.hAPP_l84111627le_alt _let_1 Ts)))))))) (forall ((Xs_40 tptp.list_A114658244le_alt) (Ys_17 tptp.list_A114658244le_alt) (Zs_3 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_40))) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt _let_1 Ys_17)) Zs_3) (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_17) Zs_3))))) (forall ((X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool tptp.equal_631514850le_alt X_2) Y_2)) (= X_2 Y_2))) (forall ((X_29 tptp.arrow_1893660431le_alt) (Xs_39 tptp.list_A114658244le_alt) (Ys_16 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_29))) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_39)) Ys_16) (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_39) Ys_16))))) (forall ((Xs_38 tptp.list_A114658244le_alt) (Zs_2 tptp.list_A114658244le_alt) (X_28 tptp.arrow_1893660431le_alt) (Xs1 tptp.list_A114658244le_alt) (Ys_15 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_28))) (=> (= (tptp.hAPP_l84111627le_alt _let_1 Xs1) Ys_15) (=> (= Xs_38 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs1) Zs_2)) (= (tptp.hAPP_l84111627le_alt _let_1 Xs_38) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_15) Zs_2)))))) (forall ((Ys_14 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt tptp.nil_Ar557011903le_alt) Ys_14) Ys_14)) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (= tptp.nil_Ar557011903le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1)) (and (= Xs_1 tptp.nil_Ar557011903le_alt) (= Ys_1 tptp.nil_Ar557011903le_alt)))) (forall ((Xs_37 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_37) tptp.nil_Ar557011903le_alt) Xs_37)) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1)) (= Ys_1 tptp.nil_Ar557011903le_alt))) (forall ((Ys_1 tptp.list_A114658244le_alt) (Xs_1 tptp.list_A114658244le_alt)) (= (= Ys_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1)) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1) tptp.nil_Ar557011903le_alt) (and (= Xs_1 tptp.nil_Ar557011903le_alt) (= Ys_1 tptp.nil_Ar557011903le_alt)))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1) Xs_1) (= Ys_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1) Ys_1) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_36 tptp.list_A114658244le_alt) (Ys_13 tptp.list_A114658244le_alt)) (=> (= Xs_36 Ys_13) (= Xs_36 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt tptp.nil_Ar557011903le_alt) Ys_13)))) (forall ((Pa tptp.fun_Ar17477381t_bool)) (= (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Pa) tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt)) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_1)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Pa) Xs_1))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (Zs_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1))) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_1) Zs_1) _let_1) (or (and (= Ys_1 tptp.nil_Ar557011903le_alt) (= Zs_1 _let_1)) (exists ((Ys_12 tptp.list_A114658244le_alt)) (and (= Ys_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Ys_12)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_12) Zs_1) Xs_1))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (Zs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1))) (= (= _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_1) Zs_1)) (or (and (= Ys_1 tptp.nil_Ar557011903le_alt) (= _let_1 Zs_1)) (exists ((Ys_12 tptp.list_A114658244le_alt)) (and (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Ys_12) Ys_1) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_12) Zs_1)))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt) (Y_2 tptp.arrow_1893660431le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) tptp.nil_Ar557011903le_alt)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) tptp.nil_Ar557011903le_alt))) (and (= Xs_1 Ys_1) (= X_2 Y_2)))) (forall ((Xs_35 tptp.list_A114658244le_alt) (Ys_11 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_35))) (let ((_let_2 (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt (tptp.hAPP_l84111627le_alt _let_1 Ys_11)))) (let ((_let_3 (= Ys_11 tptp.nil_Ar557011903le_alt))) (and (=> _let_3 (= _let_2 (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_35))) (=> (not _let_3) (= _let_2 (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Ys_11))))))))) (forall ((Xs_34 tptp.list_A114658244le_alt) (Ys_10 tptp.list_A114658244le_alt)) (=> (= Ys_10 tptp.nil_Ar557011903le_alt) (= (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_34) Ys_10)) (tptp.last_A488133080le_alt Xs_34)))) (forall ((Xs_33 tptp.list_A114658244le_alt) (Ys_9 tptp.list_A114658244le_alt)) (=> (not (= Ys_9 tptp.nil_Ar557011903le_alt)) (= (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_33) Ys_9)) (tptp.last_A488133080le_alt Ys_9)))) (forall ((Xs_32 tptp.list_A114658244le_alt) (Ys_8 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_32) Ys_8)))) (let ((_let_2 (= Ys_8 tptp.nil_Ar557011903le_alt))) (and (=> _let_2 (= _let_1 (tptp.last_A488133080le_alt Xs_32))) (=> (not _let_2) (= _let_1 (tptp.last_A488133080le_alt Ys_8))))))) (forall ((X_2 tptp.list_A114658244le_alt) (U tptp.list_A114658244le_alt) (V tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))) (let ((_let_2 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt U) V)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt _let_2 U)) (tptp.hAPP_l84111627le_alt _let_2 V))) _let_1)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Pa tptp.fun_Ar17477381t_bool) (X_2 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2))) (let ((_let_2 (tptp.takeWh967109304le_alt Pa))) (let ((_let_3 (tptp.hAPP_l84111627le_alt _let_2 (tptp.hAPP_l84111627le_alt _let_1 Xs_1)))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_2)))) (and (=> _let_4 (= _let_3 (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt _let_2 Xs_1)))) (=> (not _let_4) (= _let_3 tptp.nil_Ar557011903le_alt)))))))) (forall ((F tptp.fun_Ar849108972le_alt) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.maps_A652163713le_alt F))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_A1382181054le_alt F X_2)) (tptp.hAPP_l84111627le_alt _let_1 Xs_1))))) (forall ((Xs_31 tptp.list_A114658244le_alt) (X_27 tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_31) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_27) tptp.nil_Ar557011903le_alt))) Xs_31)) (forall ((Xs_30 tptp.list_A114658244le_alt) (X_26 tptp.arrow_1893660431le_alt)) (= (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_30) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_26) tptp.nil_Ar557011903le_alt))) X_26)) (= tptp.top_top_fun_nat_bool (tptp.collect_nat (tptp.hAPP_b1013836512t_bool tptp.cOMBK_bool_nat tptp.fTrue))) (= tptp.top_to827110112l_bool (tptp.collec71394895t_bool (tptp.hAPP_b1777246598l_bool tptp.cOMBK_1279003709t_bool tptp.fTrue))) (= tptp.top_to553140914l_bool (tptp.collec1236161569t_bool (tptp.hAPP_b1078573912l_bool tptp.cOMBK_445086735t_bool tptp.fTrue))) (= tptp.top_to1138392227t_bool (tptp.collec1988958098le_alt (tptp.hAPP_b128655177t_bool tptp.cOMBK_198697344le_alt tptp.fTrue))) (= tptp.top_to788185952i_bool (tptp.collec1597001935e_indi (tptp.hAPP_b549570054i_bool tptp.cOMBK_561380029e_indi tptp.fTrue))) (= tptp.top_to814956427t_bool (tptp.collec12892580le_alt (tptp.hAPP_b916665189t_bool tptp.cOMBK_2077209654le_alt tptp.fTrue))) (= tptp.top_to1312956197l_bool (tptp.collec2125531966t_bool (tptp.hAPP_b1272691967l_bool tptp.cOMBK_81143760t_bool tptp.fTrue))) (forall ((U tptp.list_l2028444773le_alt) (X_2 tptp.list_l2028444773le_alt) (Y_2 tptp.list_l2028444773le_alt) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_l2145422509le_alt tptp.append1312904639le_alt U))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba)) R_2)) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt _let_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Aa) X_2))) (tptp.hAPP_l1913469717le_alt _let_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Ba) Y_2)))) (tptp.hAPP_f417980453t_bool tptp.lexord616819815le_alt R_2)))))) (forall ((U tptp.list_A114658244le_alt) (X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt U))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) R_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Aa) X_2))) (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Ba) Y_2)))) (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) tptp.nil_Ar557011903le_alt)) Ys_1) (and (not (= Ys_1 tptp.nil_Ar557011903le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Ys_1) Xs_1) (= (tptp.last_A488133080le_alt Ys_1) X_2)))) (forall ((X_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool) (Y_2 tptp.list_A114658244le_alt)) (=> (exists ((B_6 tptp.arrow_1893660431le_alt) (Z_4 tptp.list_A114658244le_alt)) (= Y_2 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt B_6) Z_4))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt X_2) Y_2))) (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))))) (forall ((X_2 tptp.list_l2028444773le_alt) (U tptp.list_l2028444773le_alt) (V tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_f417980453t_bool tptp.lexord616819815le_alt R_2))) (let ((_let_2 (tptp.hAPP_l2145422509le_alt tptp.append1312904639le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt _let_2 U)) (tptp.hAPP_l1913469717le_alt _let_2 V))) _let_1)) (=> (forall ((A_7 tptp.list_A114658244le_alt)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) A_7)) R_2)))) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt U) V)) _let_1))))))) (forall ((X_2 tptp.list_A114658244le_alt) (U tptp.list_A114658244le_alt) (V tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))) (let ((_let_2 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt _let_2 U)) (tptp.hAPP_l84111627le_alt _let_2 V))) _let_1)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt)) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) A_7)) R_2)))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt U) V)) _let_1))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Pa tptp.fun_li1109619974t_bool)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa tptp.nil_Ar557011903le_alt)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt) (Xs_17 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Xs_17)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_17) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) tptp.nil_Ar557011903le_alt)))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Xs_1))))) (forall ((Xs_29 tptp.list_A114658244le_alt)) (=> (not (= Xs_29 tptp.nil_Ar557011903le_alt)) (not (forall ((Ys tptp.list_A114658244le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (not (= Xs_29 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) tptp.nil_Ar557011903le_alt)))))))) (forall ((Xs_1 tptp.list_l2028444773le_alt) (X_2 tptp.list_A114658244le_alt) (Ys_1 tptp.list_l2028444773le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2))) (= (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l2145422509le_alt tptp.append1312904639le_alt Xs_1) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) tptp.nil_li2054189844le_alt))) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l2145422509le_alt tptp.append1312904639le_alt Ys_1) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) tptp.nil_li2054189844le_alt)))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Ys_1)) _let_1)) (= X_2 Y_2)) (and (= Xs_1 Ys_1) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) R_2))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt) (Y_2 tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) tptp.nil_Ar557011903le_alt))) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) tptp.nil_Ar557011903le_alt)))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) _let_1)) (= X_2 Y_2)) (and (= Xs_1 Ys_1) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) R_2))))))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.rotate1753650700le_alt Xs_1) (tptp.hAPP_l84111627le_alt (tptp.list_c1024366775le_alt tptp.nil_Ar557011903le_alt (tptp.hAPP_f218129964le_alt (tptp.hAPP_f757086845le_alt tptp.cOMBB_1076781858le_alt (tptp.hAPP_f204005175le_alt tptp.cOMBC_1833749623le_alt tptp.append1597383892le_alt)) (tptp.hAPP_l1822938419le_alt (tptp.hAPP_f274624079le_alt tptp.cOMBC_673369480le_alt tptp.cons_A1647044463le_alt) tptp.nil_Ar557011903le_alt))) Xs_1))) (forall ((X_25 tptp.arrow_1893660431le_alt) (Xs_28 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_25))) (and (= (tptp.hAPP_l84111627le_alt tptp.rotate1753650700le_alt tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt) (= (tptp.hAPP_l84111627le_alt tptp.rotate1753650700le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_28)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_28) (tptp.hAPP_l84111627le_alt _let_1 tptp.nil_Ar557011903le_alt)))))) (exists ((X_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) tptp.top_top_fun_nat_bool))) (exists ((X_1 tptp.produc587761367le_alt)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) tptp.top_to1339422355t_bool))) (exists ((X_1 tptp.bool)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) tptp.top_to1647826457l_bool))) (exists ((X_1 tptp.arrow_856714788e_indi)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) tptp.top_to788185952i_bool))) (exists ((X_1 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) tptp.top_to814956427t_bool))) (exists ((X_1 tptp.produc472769767le_alt)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) tptp.top_to1138392227t_bool))) (exists ((X_1 tptp.fun_Ar274636406t_bool)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) tptp.top_to553140914l_bool))) (exists ((X_1 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) tptp.top_to1312956197l_bool))) (exists ((X_1 tptp.fun_fu2114379172t_bool)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) tptp.top_to827110112l_bool))) (forall ((A_1 tptp.fun_nat_bool)) (=> (forall ((X_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A_1))) (= tptp.top_top_fun_nat_bool A_1))) (forall ((A_1 tptp.fun_Pr486337689t_bool)) (=> (forall ((X_1 tptp.produc587761367le_alt)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) A_1))) (= tptp.top_to1339422355t_bool A_1))) (forall ((A_1 tptp.fun_bool_bool)) (=> (forall ((X_1 tptp.bool)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1))) (= tptp.top_to1647826457l_bool A_1))) (forall ((A_1 tptp.fun_Ar1809396326i_bool)) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) A_1))) (= tptp.top_to788185952i_bool A_1))) (forall ((A_1 tptp.fun_Ar17477381t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) A_1))) (= tptp.top_to814956427t_bool A_1))) (forall ((A_1 tptp.fun_Pr2067565481t_bool)) (=> (forall ((X_1 tptp.produc472769767le_alt)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) A_1))) (= tptp.top_to1138392227t_bool A_1))) (forall ((A_1 tptp.fun_fu3835832l_bool)) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) A_1))) (= tptp.top_to553140914l_bool A_1))) (forall ((A_1 tptp.fun_fu638310559l_bool)) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) A_1))) (= tptp.top_to1312956197l_bool A_1))) (forall ((A_1 tptp.fun_fu2098777574l_bool)) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) A_1))) (= tptp.top_to827110112l_bool A_1))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt tptp.rotate1753650700le_alt Xs_1) tptp.nil_Ar557011903le_alt) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt tptp.rotate1753650700le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_1)))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (let ((_let_2 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt _let_2 Xs_1)) (tptp.hAPP_l84111627le_alt _let_2 Ys_1))) _let_1)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) tptp.nil_Ar557011903le_alt)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt tptp.nil_Ar557011903le_alt) Xs_1)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))))) (forall ((Us_1 tptp.list_A114658244le_alt) (Vs_1 tptp.list_A114658244le_alt) (Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (=> (or (and (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) _let_1)) (= Us_1 Vs_1)) (and (= Xs_1 Ys_1) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Us_1) Vs_1)) _let_1)))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Us_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys_1) Vs_1))) _let_1))))) (forall ((X_2 tptp.list_A114658244le_alt) (Xs_1 tptp.list_l2028444773le_alt) (Y_2 tptp.list_A114658244le_alt) (Ys_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2))) (= (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) Xs_1)) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Ys_1))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) R_2)) (= Xs_1 Ys_1)) (and (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Ys_1)) _let_1))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt) (Y_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) R_2)) (= Xs_1 Ys_1)) (and (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) _let_1))))))) (forall ((Xs_1 tptp.list_l2028444773le_alt) (X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) R_2)) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) Xs_1)) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Xs_1))) (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) R_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Xs_1))) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))))) (forall ((Ys_1 tptp.list_l2028444773le_alt) (Xs_1 tptp.list_l2028444773le_alt) (Us_1 tptp.list_l2028444773le_alt) (Vs_1 tptp.list_l2028444773le_alt) (X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_l2145422509le_alt tptp.append1312904639le_alt Us_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) R_2)) (=> (= Xs_1 (tptp.hAPP_l1913469717le_alt _let_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) Vs_1))) (=> (= Ys_1 (tptp.hAPP_l1913469717le_alt _let_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Vs_1))) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Ys_1)) (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2)))))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (Xs_1 tptp.list_A114658244le_alt) (Us_1 tptp.list_A114658244le_alt) (Vs_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Us_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) R_2)) (=> (= Xs_1 (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Vs_1))) (=> (= Ys_1 (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Vs_1))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2)))))))) (forall ((Xs_1 tptp.list_l2028444773le_alt) (Ys_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Ys_1)) (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2))) (not (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)) R_2)) (forall ((Us tptp.list_l2028444773le_alt) (Vs tptp.list_l2028444773le_alt)) (let ((_let_1 (tptp.hAPP_l2145422509le_alt tptp.append1312904639le_alt Us))) (=> (= Xs_1 (tptp.hAPP_l1913469717le_alt _let_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_1) Vs))) (not (= Ys_1 (tptp.hAPP_l1913469717le_alt _let_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_9) Vs)))))))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) R_2)) (forall ((Us tptp.list_A114658244le_alt) (Vs tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Us))) (=> (= Xs_1 (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Vs))) (not (= Ys_1 (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) Vs)))))))))))) (forall ((X_2 tptp.list_A114658244le_alt) (Xs_1 tptp.list_l2028444773le_alt) (Ys_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) Xs_1)) Ys_1)) (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2))) (=> (forall ((Y_9 tptp.list_A114658244le_alt)) (=> (= Ys_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_9) Xs_1)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_9)) R_2))))) (not (forall ((Zs tptp.list_l2028444773le_alt)) (=> (= Ys_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) Zs)) (not (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Zs)) (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2)))))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)) Ys_1)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (=> (forall ((Y_9 tptp.arrow_1893660431le_alt)) (=> (= Ys_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) Xs_1)) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_9)) R_2))))) (not (forall ((Zs tptp.list_A114658244le_alt)) (=> (= Ys_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Zs)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Zs)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2)))))))))) (forall ((Xs_1 tptp.list_l2028444773le_alt) (Y_2 tptp.list_A114658244le_alt) (Ys_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Ys_1))) (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2))) (=> (forall ((X_1 tptp.list_A114658244le_alt)) (=> (= Xs_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_1) Ys_1)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_2)) R_2))))) (not (forall ((Zs tptp.list_l2028444773le_alt)) (=> (= Xs_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Zs)) (not (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Zs) Ys_1)) (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2)))))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Y_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1))) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Ys_1)) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_2)) R_2))))) (not (forall ((Zs tptp.list_A114658244le_alt)) (=> (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Zs)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Zs) Ys_1)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2)))))))))) (= tptp.arrow_1361987423le_Lin (tptp.collec2125531966t_bool (tptp.order_1266734903le_alt tptp.top_to814956427t_bool))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt) (Y_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1))) (= (= (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Pa) Xs_1) _let_1) (and (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Pa) Xs_1)) _let_1)) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Y_2))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) tptp.nil_Ar557011903le_alt)) (tptp.hAPP_f369701637t_bool tptp.lex_Ar686335011le_alt R_2))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt tptp.nil_Ar557011903le_alt) Ys_1)) (tptp.hAPP_f369701637t_bool tptp.lex_Ar686335011le_alt R_2))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2))) (= (tptp.partit758395576le_alt Pa (tptp.hAPP_l84111627le_alt _let_1 Xs_1)) (tptp.hAPP_P205052337le_alt (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt (tptp.hAPP_f6098781le_alt (tptp.hAPP_f423920914le_alt tptp.cOMBS_917035857le_alt (tptp.hAPP_f1967789246le_alt (tptp.hAPP_f752890973le_alt tptp.cOMBB_1206549317le_alt tptp.cOMBS_19686701le_alt) (tptp.hAPP_f1455388473le_alt (tptp.hAPP_f1097645385le_alt tptp.cOMBB_1772667958le_alt (tptp.hAPP_f1372126793le_alt tptp.cOMBB_730268484le_alt (tptp.if_Pro1687484775le_alt (tptp.hAPP_A1748732503t_bool Pa X_2)))) (tptp.hAPP_f1274386949le_alt (tptp.hAPP_f1142066787le_alt tptp.cOMBB_1071360260le_alt tptp.produc1742925389le_alt) _let_1)))) (tptp.hAPP_f1274386949le_alt (tptp.hAPP_f905689843le_alt tptp.cOMBC_1284478484le_alt (tptp.hAPP_f1148079597le_alt (tptp.hAPP_f1250095511le_alt tptp.cOMBB_1247716816le_alt tptp.cOMBB_250395785le_alt) tptp.produc1742925389le_alt)) _let_1))) (tptp.partit758395576le_alt Pa Xs_1))))) (forall ((Ca tptp.fun_Ar331856045t_bool) (P_1 tptp.produc472769767le_alt) (Q_2 tptp.produc472769767le_alt)) (let ((_let_1 (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool Ca))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool _let_1 Q_2)))))) (forall ((Ca tptp.fun_li380014893le_alt) (P_1 tptp.produc587761367le_alt) (Q_2 tptp.produc587761367le_alt)) (let ((_let_1 (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt Ca))) (=> (= P_1 Q_2) (= (tptp.hAPP_P205052337le_alt _let_1 P_1) (tptp.hAPP_P205052337le_alt _let_1 Q_2))))) (forall ((F1 tptp.fun_li380014893le_alt) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (= (tptp.hAPP_P205052337le_alt (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt F1) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba)) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt F1 Aa) Ba))) (forall ((F1 tptp.fun_Ar331856045t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool F1) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool F1 Aa) Ba)))) (forall ((F tptp.fun_li380014893le_alt) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (= (tptp.hAPP_P205052337le_alt (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt F) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba)) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt F Aa) Ba))) (forall ((F tptp.fun_Ar331856045t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool F) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool F Aa) Ba)))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Pa tptp.fun_Ar17477381t_bool) (X_2 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1))) (let ((_let_2 (tptp.dropWh587599712le_alt Pa))) (let ((_let_3 (tptp.hAPP_l84111627le_alt _let_2 _let_1))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_2)))) (and (=> _let_4 (= _let_3 (tptp.hAPP_l84111627le_alt _let_2 Xs_1))) (=> (not _let_4) (= _let_3 _let_1)))))))) (forall ((Pa tptp.fun_Ar17477381t_bool)) (= (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Pa) tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt)) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_1)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Pa) Xs_1))))) (forall ((F tptp.fun_Pr1186243091le_alt)) (= (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt (tptp.hAPP_f6098781le_alt (tptp.hAPP_f533347863le_alt tptp.cOMBB_1792551872le_alt (tptp.hAPP_f635935679le_alt tptp.cOMBB_1945714076le_alt F)) tptp.produc1742925389le_alt)) F)) (forall ((F tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool (tptp.hAPP_f783327207t_bool (tptp.hAPP_f404316901t_bool tptp.cOMBB_1598772817le_alt (tptp.hAPP_f1124798181t_bool tptp.cOMBB_2030766369le_alt F)) tptp.produc1590937303le_alt)) F)) (forall ((F tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool (tptp.produc410835390t_bool F)) F)) (forall ((F tptp.fun_Pr1186243091le_alt)) (= (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt (tptp.produc1639868974le_alt F)) F)) (forall ((F tptp.fun_Ar331856045t_bool)) (= (tptp.produc410835390t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool F)) F)) (forall ((F tptp.fun_li380014893le_alt)) (= (tptp.produc1639868974le_alt (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt F)) F)) (= tptp.produc2015632596t_bool tptp.produc73018783t_bool) (= tptp.produc1354545732le_alt tptp.produc2052829583le_alt) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Pa) Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Pa) Xs_1)) Xs_1)) (forall ((F tptp.fun_li380014893le_alt) (G tptp.fun_Pr1186243091le_alt)) (=> (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt F X_1) Y_9) (tptp.hAPP_P205052337le_alt G (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)))) (= (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt F) G))) (forall ((G tptp.fun_Pr2067565481t_bool) (F tptp.fun_Ar331856045t_bool)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (= (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool F X_1) Y_9)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool G (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9))))) (= (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool F) G))) (forall ((Q_1 tptp.fun_Pr486337689t_bool) (Pa tptp.fun_li380014893le_alt) (Z_3 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Q_1 (tptp.hAPP_P205052337le_alt (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt Pa) Z_3))) (not (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (=> (= Z_3 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Q_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt Pa X_1) Y_9))))))))) (forall ((Q_1 tptp.fun_bool_bool) (Pa tptp.fun_Ar331856045t_bool) (Z_3 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool Pa) Z_3))) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (= Z_3 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa X_1) Y_9))))))))) (forall ((P_1 tptp.produc587761367le_alt) (F tptp.fun_li380014893le_alt) (G tptp.fun_li380014893le_alt) (Q_2 tptp.produc587761367le_alt)) (=> (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (=> (= (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9) Q_2) (= (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt F X_1) Y_9) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt G X_1) Y_9)))) (=> (= P_1 Q_2) (= (tptp.hAPP_P205052337le_alt (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt F) P_1) (tptp.hAPP_P205052337le_alt (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt G) Q_2))))) (forall ((P_1 tptp.produc472769767le_alt) (G tptp.fun_Ar331856045t_bool) (F tptp.fun_Ar331856045t_bool) (Q_2 tptp.produc472769767le_alt)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (= (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9) Q_2) (= (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool F X_1) Y_9)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool G X_1) Y_9))))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool F) P_1)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool G) Q_2)))))) (forall ((X_2 tptp.list_A114658244le_alt) (Xs_1 tptp.list_l2028444773le_alt) (Y_2 tptp.list_A114658244le_alt) (Ys_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_f417980453t_bool tptp.lex_li810040752le_alt R_2))) (= (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) Xs_1)) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Ys_1))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) R_2)) (= (tptp.hAPP_l1496043450lt_nat tptp.size_s317648763le_alt Xs_1) (tptp.hAPP_l1496043450lt_nat tptp.size_s317648763le_alt Ys_1))) (and (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Ys_1)) _let_1))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt) (Y_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.lex_Ar686335011le_alt R_2))) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) R_2)) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_1) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Ys_1))) (and (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) _let_1))))))) (forall ((Ws tptp.list_A114658244le_alt)) (=> (not (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Ws))) (exists ((Xs_17 tptp.list_A114658244le_alt) (Ys tptp.list_A114658244le_alt) (Zs tptp.list_A114658244le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) tptp.nil_Ar557011903le_alt)))) (= Ws (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_17) (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt _let_1 Zs))))))))) (forall ((Xs_1 tptp.list_l2028444773le_alt) (Ys_1 tptp.list_l2028444773le_alt) (X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_f417980453t_bool tptp.listre770069484le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) Xs_1)) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Ys_1))) _let_1)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1))) _let_1)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1)) (tptp.hAPP_l84111627le_alt (tptp.list_c1024366775le_alt (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt Ys_1) (tptp.hAPP_f688183683le_alt tptp.cOMBK_930998768le_alt (tptp.hAPP_l86320102le_alt (tptp.hAPP_f204005175le_alt tptp.cOMBC_1833749623le_alt tptp.append1597383892le_alt) Ys_1))) Xs_1))) (= tptp.equal_631514850le_alt tptp.fequal928191109le_alt) (forall ((F tptp.fun_li495175091t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool F Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool (tptp.hAPP_f1732069219t_bool tptp.produc631952405t_bool F) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))))) (forall ((F tptp.fun_Ar331856045t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool F Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool F) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))) (forall ((F1 tptp.fun_li495175091t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool F1 Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool (tptp.hAPP_f1732069219t_bool tptp.produc631952405t_bool F1) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))))) (forall ((F1 tptp.fun_Ar331856045t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool F1 Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool F1) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))) (forall ((Z_3 tptp.nat) (Ca tptp.fun_Ar113775056t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_A75605626t_bool (tptp.hAPP_A98481698t_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_P1123315306t_bool (tptp.hAPP_f2044004281t_bool tptp.produc802256322t_bool Ca) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))))) (forall ((Z_3 tptp.produc587761367le_alt) (Ca tptp.fun_Ar26892405t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.hAPP_A876841247t_bool (tptp.hAPP_A837018253t_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.hAPP_P588680495t_bool (tptp.hAPP_f582323651t_bool tptp.produc2013750231t_bool Ca) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))))) (forall ((Z_3 tptp.arrow_1893660431le_alt) (Ca tptp.fun_Ar1044946517t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.hAPP_A2063800319t_bool (tptp.hAPP_A1975288231t_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.hAPP_P1328248815t_bool (tptp.hAPP_f919250425t_bool tptp.produc542980935t_bool Ca) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))))) (forall ((Z_3 tptp.arrow_856714788e_indi) (Ca tptp.fun_Ar1628482114i_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.hAPP_A1492453356i_bool (tptp.hAPP_A891807578i_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.hAPP_P1859429372i_bool (tptp.hAPP_f1028383325i_bool tptp.produc762033828i_bool Ca) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))))) (forall ((Z_3 tptp.bool) (Ca tptp.fun_Ar949229051l_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.hAPP_A463015077l_bool (tptp.hAPP_A1316408339l_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.hAPP_P1103642805l_bool (tptp.hAPP_f874384847l_bool tptp.produc327487325l_bool Ca) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))))))) (forall ((Z_3 tptp.produc472769767le_alt) (Ca tptp.fun_li1684108543t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_l1875392034t_bool (tptp.hAPP_l1232500765t_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.hAPP_P1708597583t_bool (tptp.hAPP_f1879310829t_bool tptp.produc47507185t_bool Ca) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))))))) (forall ((Z_3 tptp.fun_Ar274636406t_bool) (Ca tptp.fun_li1290371598l_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.hAPP_l1144124209l_bool (tptp.hAPP_l362966444l_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.hAPP_P878768990l_bool (tptp.hAPP_f1371571723l_bool tptp.produc632580864l_bool Ca) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))))))) (forall ((Z_3 tptp.fun_Pr2067565481t_bool) (Ca tptp.fun_li1959074549l_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.hAPP_l1876389606l_bool (tptp.hAPP_l328381505l_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.hAPP_P171164537l_bool (tptp.hAPP_f229317091l_bool tptp.produc999826263l_bool Ca) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))))))) (forall ((Z_3 tptp.fun_fu2114379172t_bool) (Ca tptp.fun_li123689532l_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool Z_3))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.hAPP_l592144991l_bool (tptp.hAPP_l830471642l_bool Ca Aa) Ba))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.hAPP_P1986703244l_bool (tptp.hAPP_f928402023l_bool tptp.produc1727510830l_bool Ca) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) tptp.nil_Ar557011903le_alt)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt tptp.nil_Ar557011903le_alt) Xs_1)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_27 tptp.list_A114658244le_alt) (Ys_7 tptp.list_A114658244le_alt)) (=> (not (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_27) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Ys_7))) (not (= Xs_27 Ys_7)))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_1) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Ys_1)))) (forall ((F tptp.fun_li495175091t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_P1894408759t_bool (tptp.hAPP_f1732069219t_bool tptp.produc631952405t_bool F) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool F Aa) Ba)))) (forall ((F tptp.fun_Ar331856045t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool F) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool F Aa) Ba)))) (forall ((Xs_26 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt (tptp.hAPP_l84111627le_alt tptp.rotate1753650700le_alt Xs_26)) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_26))) (forall ((X_24 tptp.arrow_1893660431le_alt) (Xs_25 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_24) Xs_25)) Xs_25)) (= (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt) (forall ((Xs_24 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_24)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt Xs_24))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_1) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Ys_1)))) (forall ((R_2 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2)))) (forall ((Ys_6 tptp.list_A114658244le_alt) (Xs_23 tptp.list_A114658244le_alt)) (=> (not (= Xs_23 tptp.nil_Ar557011903le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_23) Ys_6)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt Xs_23)) Ys_6)))) (forall ((X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)))) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.hAPP_f369701637t_bool tptp.lex_Ar686335011le_alt R_2))) (and (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt X_2) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Y_2)))))) (= tptp.fequal928191109le_alt tptp.equal_631514850le_alt) (forall ((X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool tptp.equal_631514850le_alt X_2) Y_2)) (= X_2 Y_2))) (forall ((X_23 tptp.list_A114658244le_alt)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool tptp.equal_631514850le_alt X_23) X_23))) (forall ((Xs_1 tptp.list_l2028444773le_alt) (Y_2 tptp.list_A114658244le_alt) (Ys_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Ys_1))) (tptp.hAPP_f417980453t_bool tptp.listre770069484le_alt R_2))) (not (forall ((X_1 tptp.list_A114658244le_alt) (Xs_17 tptp.list_l2028444773le_alt)) (=> (= Xs_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_1) Xs_17)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_2)) R_2)) (not (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_17) Ys_1)) (tptp.hAPP_f417980453t_bool tptp.listre770069484le_alt R_2)))))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Y_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1))) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Xs_17 tptp.list_A114658244le_alt)) (=> (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Xs_17)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_2)) R_2)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_17) Ys_1)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2)))))))))) (forall ((Y_2 tptp.list_A114658244le_alt) (Ys_1 tptp.list_l2028444773le_alt) (Xs_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Ys_1)) Xs_1)) (tptp.hAPP_f417980453t_bool tptp.listre770069484le_alt R_2))) (not (forall ((Y_9 tptp.list_A114658244le_alt) (Ys tptp.list_l2028444773le_alt)) (=> (= Xs_1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_9) Ys)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Y_2) Y_9)) R_2)) (not (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Ys_1) Ys)) (tptp.hAPP_f417980453t_bool tptp.listre770069484le_alt R_2)))))))))) (forall ((Y_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt) (Xs_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1)) Xs_1)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))) (not (forall ((Y_9 tptp.arrow_1893660431le_alt) (Ys tptp.list_A114658244le_alt)) (=> (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) Ys)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Y_2) Y_9)) R_2)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ys_1) Ys)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2)))))))))) (forall ((Pa tptp.fun_li495175091t_bool) (Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (=> (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_1) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Ys_1)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt)) (=> (forall ((X_1 tptp.arrow_1893660431le_alt) (Xs_17 tptp.list_A114658244le_alt) (Y_9 tptp.arrow_1893660431le_alt) (Ys tptp.list_A114658244le_alt)) (=> (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_17) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Ys)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa Xs_17) Ys)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Xs_17)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) Ys)))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa Xs_1) Ys_1)))))) (forall ((Ca tptp.fun_li495175091t_bool) (P_1 tptp.produc587761367le_alt)) (=> (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Ca A_7) B_6)))) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool (tptp.hAPP_f1732069219t_bool tptp.produc631952405t_bool Ca) P_1)))) (forall ((Ca tptp.fun_Ar331856045t_bool) (P_1 tptp.produc472769767le_alt)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Ca A_7) B_6)))) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool Ca) P_1)))) (forall ((Ca tptp.fun_li495175091t_bool) (P_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_P1894408759t_bool (tptp.hAPP_f1732069219t_bool tptp.produc631952405t_bool Ca) P_1)) (not (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Ca X_1) Y_9)))))))) (forall ((Ca tptp.fun_Ar331856045t_bool) (P_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool Ca) P_1)) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Ca X_1) Y_9)))))))) (forall ((Z_3 tptp.nat) (Ca tptp.fun_Ar113775056t_bool) (P_1 tptp.produc472769767le_alt)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Z_3) (tptp.hAPP_A75605626t_bool (tptp.hAPP_A98481698t_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Z_3) (tptp.hAPP_P1123315306t_bool (tptp.hAPP_f2044004281t_bool tptp.produc802256322t_bool Ca) P_1))))) (forall ((Z_3 tptp.produc587761367le_alt) (Ca tptp.fun_Ar26892405t_bool) (P_1 tptp.produc472769767le_alt)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt Z_3) (tptp.hAPP_A876841247t_bool (tptp.hAPP_A837018253t_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt Z_3) (tptp.hAPP_P588680495t_bool (tptp.hAPP_f582323651t_bool tptp.produc2013750231t_bool Ca) P_1))))) (forall ((Z_3 tptp.arrow_1893660431le_alt) (Ca tptp.fun_Ar1044946517t_bool) (P_1 tptp.produc472769767le_alt)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Z_3) (tptp.hAPP_A2063800319t_bool (tptp.hAPP_A1975288231t_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Z_3) (tptp.hAPP_P1328248815t_bool (tptp.hAPP_f919250425t_bool tptp.produc542980935t_bool Ca) P_1))))) (forall ((Z_3 tptp.arrow_856714788e_indi) (Ca tptp.fun_Ar1628482114i_bool) (P_1 tptp.produc472769767le_alt)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi Z_3) (tptp.hAPP_A1492453356i_bool (tptp.hAPP_A891807578i_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi Z_3) (tptp.hAPP_P1859429372i_bool (tptp.hAPP_f1028383325i_bool tptp.produc762033828i_bool Ca) P_1))))) (forall ((Z_3 tptp.bool) (Ca tptp.fun_Ar949229051l_bool) (P_1 tptp.produc472769767le_alt)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool Z_3) (tptp.hAPP_A463015077l_bool (tptp.hAPP_A1316408339l_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool Z_3) (tptp.hAPP_P1103642805l_bool (tptp.hAPP_f874384847l_bool tptp.produc327487325l_bool Ca) P_1))))) (forall ((Z_3 tptp.produc472769767le_alt) (Ca tptp.fun_li1684108543t_bool) (P_1 tptp.produc587761367le_alt)) (=> (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt Z_3) (tptp.hAPP_l1875392034t_bool (tptp.hAPP_l1232500765t_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt Z_3) (tptp.hAPP_P1708597583t_bool (tptp.hAPP_f1879310829t_bool tptp.produc47507185t_bool Ca) P_1))))) (forall ((Z_3 tptp.fun_Ar274636406t_bool) (Ca tptp.fun_li1290371598l_bool) (P_1 tptp.produc587761367le_alt)) (=> (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Z_3) (tptp.hAPP_l1144124209l_bool (tptp.hAPP_l362966444l_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Z_3) (tptp.hAPP_P878768990l_bool (tptp.hAPP_f1371571723l_bool tptp.produc632580864l_bool Ca) P_1))))) (forall ((Z_3 tptp.fun_Pr2067565481t_bool) (Ca tptp.fun_li1959074549l_bool) (P_1 tptp.produc587761367le_alt)) (=> (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool Z_3) (tptp.hAPP_l1876389606l_bool (tptp.hAPP_l328381505l_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool Z_3) (tptp.hAPP_P171164537l_bool (tptp.hAPP_f229317091l_bool tptp.produc999826263l_bool Ca) P_1))))) (forall ((Z_3 tptp.fun_fu2114379172t_bool) (Ca tptp.fun_li123689532l_bool) (P_1 tptp.produc587761367le_alt)) (=> (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool Z_3) (tptp.hAPP_l592144991l_bool (tptp.hAPP_l830471642l_bool Ca A_7) B_6))))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool Z_3) (tptp.hAPP_P1986703244l_bool (tptp.hAPP_f928402023l_bool tptp.produc1727510830l_bool Ca) P_1))))) (forall ((Z_3 tptp.nat) (Ca tptp.fun_Ar113775056t_bool) (P_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Z_3) (tptp.hAPP_P1123315306t_bool (tptp.hAPP_f2044004281t_bool tptp.produc802256322t_bool Ca) P_1))) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Z_3) (tptp.hAPP_A75605626t_bool (tptp.hAPP_A98481698t_bool Ca X_1) Y_9))))))))) (forall ((Z_3 tptp.produc587761367le_alt) (Ca tptp.fun_Ar26892405t_bool) (P_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt Z_3) (tptp.hAPP_P588680495t_bool (tptp.hAPP_f582323651t_bool tptp.produc2013750231t_bool Ca) P_1))) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt Z_3) (tptp.hAPP_A876841247t_bool (tptp.hAPP_A837018253t_bool Ca X_1) Y_9))))))))) (forall ((Z_3 tptp.arrow_1893660431le_alt) (Ca tptp.fun_Ar1044946517t_bool) (P_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Z_3) (tptp.hAPP_P1328248815t_bool (tptp.hAPP_f919250425t_bool tptp.produc542980935t_bool Ca) P_1))) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Z_3) (tptp.hAPP_A2063800319t_bool (tptp.hAPP_A1975288231t_bool Ca X_1) Y_9))))))))) (forall ((Z_3 tptp.arrow_856714788e_indi) (Ca tptp.fun_Ar1628482114i_bool) (P_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi Z_3) (tptp.hAPP_P1859429372i_bool (tptp.hAPP_f1028383325i_bool tptp.produc762033828i_bool Ca) P_1))) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi Z_3) (tptp.hAPP_A1492453356i_bool (tptp.hAPP_A891807578i_bool Ca X_1) Y_9))))))))) (forall ((Z_3 tptp.bool) (Ca tptp.fun_Ar949229051l_bool) (P_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool Z_3) (tptp.hAPP_P1103642805l_bool (tptp.hAPP_f874384847l_bool tptp.produc327487325l_bool Ca) P_1))) (not (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt)) (=> (= P_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool Z_3) (tptp.hAPP_A463015077l_bool (tptp.hAPP_A1316408339l_bool Ca X_1) Y_9))))))))) (forall ((Z_3 tptp.produc472769767le_alt) (Ca tptp.fun_li1684108543t_bool) (P_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt Z_3) (tptp.hAPP_P1708597583t_bool (tptp.hAPP_f1879310829t_bool tptp.produc47507185t_bool Ca) P_1))) (not (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt Z_3) (tptp.hAPP_l1875392034t_bool (tptp.hAPP_l1232500765t_bool Ca X_1) Y_9))))))))) (forall ((Z_3 tptp.fun_Ar274636406t_bool) (Ca tptp.fun_li1290371598l_bool) (P_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Z_3) (tptp.hAPP_P878768990l_bool (tptp.hAPP_f1371571723l_bool tptp.produc632580864l_bool Ca) P_1))) (not (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Z_3) (tptp.hAPP_l1144124209l_bool (tptp.hAPP_l362966444l_bool Ca X_1) Y_9))))))))) (forall ((Z_3 tptp.fun_Pr2067565481t_bool) (Ca tptp.fun_li1959074549l_bool) (P_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool Z_3) (tptp.hAPP_P171164537l_bool (tptp.hAPP_f229317091l_bool tptp.produc999826263l_bool Ca) P_1))) (not (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool Z_3) (tptp.hAPP_l1876389606l_bool (tptp.hAPP_l328381505l_bool Ca X_1) Y_9))))))))) (forall ((Z_3 tptp.fun_fu2114379172t_bool) (Ca tptp.fun_li123689532l_bool) (P_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool Z_3) (tptp.hAPP_P1986703244l_bool (tptp.hAPP_f928402023l_bool tptp.produc1727510830l_bool Ca) P_1))) (not (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt)) (=> (= P_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool Z_3) (tptp.hAPP_l592144991l_bool (tptp.hAPP_l830471642l_bool Ca X_1) Y_9))))))))) (forall ((Pa tptp.bool) (Q_1 tptp.fun_Ar331856045t_bool) (X_1 tptp.produc472769767le_alt)) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool (tptp.hAPP_f2095778909t_bool (tptp.hAPP_f1336702693t_bool tptp.cOMBB_1074233563le_alt (tptp.hAPP_f2127477477t_bool tptp.cOMBB_388242475le_alt (tptp.fconj Pa))) Q_1)) X_1)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f782115833t_bool tptp.produc73018783t_bool Q_1) X_1))))) (forall ((R_2 tptp.fun_Pr486337689t_bool) (X_1 tptp.list_l2028444773le_alt) (Xa tptp.list_l2028444773le_alt)) (= (tptp.hBOOL (tptp.hAPP_l527728301t_bool (tptp.hAPP_l246742955t_bool (tptp.listre963584058le_alt (tptp.hAPP_f1232688951t_bool (tptp.hAPP_f1613523967t_bool tptp.cOMBC_1701707246t_bool (tptp.hAPP_f406989951t_bool (tptp.hAPP_f2107183495t_bool tptp.cOMBB_2102331378le_alt tptp.cOMBC_493955701l_bool) (tptp.hAPP_f561566485l_bool (tptp.hAPP_f1983518615l_bool tptp.cOMBB_1429729016le_alt (tptp.hAPP_f1589431871l_bool tptp.cOMBB_835145300le_alt tptp.member1401409220le_alt)) tptp.produc1742925389le_alt))) R_2)) X_1) Xa)) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt X_1) Xa)) (tptp.hAPP_f417980453t_bool tptp.listre770069484le_alt R_2))))) (forall ((R_2 tptp.fun_Pr2067565481t_bool) (X_1 tptp.list_A114658244le_alt) (Xa tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool (tptp.listre483979801le_alt (tptp.hAPP_f449303873t_bool (tptp.hAPP_f1081591777t_bool tptp.cOMBC_557453916t_bool (tptp.hAPP_f105674721t_bool (tptp.hAPP_f322072549t_bool tptp.cOMBB_652885079le_alt tptp.cOMBC_395465908l_bool) (tptp.hAPP_f184584489l_bool (tptp.hAPP_f759033445l_bool tptp.cOMBB_1575576719le_alt (tptp.hAPP_f1344055909l_bool tptp.cOMBB_1660064607le_alt tptp.member1333168212le_alt)) tptp.produc1590937303le_alt))) R_2)) X_1) Xa)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Xa)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))))) (forall ((Xs_22 tptp.list_A114658244le_alt)) (=> (not (= Xs_22 tptp.nil_Ar557011903le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.rotate1753650700le_alt Xs_22) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt Xs_22)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt (tptp.hd_Arr1236501138le_alt Xs_22)) tptp.nil_Ar557011903le_alt))))) (forall ((A1 tptp.list_l2028444773le_alt) (A2 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (= (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt A1) A2)) (tptp.hAPP_f417980453t_bool tptp.listre770069484le_alt R_2))) (or (and (= A1 tptp.nil_li2054189844le_alt) (= A2 tptp.nil_li2054189844le_alt)) (exists ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt) (Xs_17 tptp.list_l2028444773le_alt) (Ys tptp.list_l2028444773le_alt)) (and (= A1 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_1) Xs_17)) (= A2 (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_9) Ys)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1) Y_9)) R_2)) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_17) Ys)) (tptp.hAPP_f417980453t_bool tptp.listre770069484le_alt R_2)))))))) (forall ((A1 tptp.list_A114658244le_alt) (A2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A1) A2)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))) (or (and (= A1 tptp.nil_Ar557011903le_alt) (= A2 tptp.nil_Ar557011903le_alt)) (exists ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt) (Xs_17 tptp.list_A114658244le_alt) (Ys tptp.list_A114658244le_alt)) (and (= A1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Xs_17)) (= A2 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) Ys)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1) Y_9)) R_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_17) Ys)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2)))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool) (N_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) (tptp.lexn_A1588662879le_alt R_2 N_2))) (and (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_1) N_2) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Ys_1) N_2)))) (forall ((N_13 tptp.nat)) (exists ((Xs_17 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_17) N_13))) (forall ((I_11 tptp.nat) (X_22 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1382181054le_alt (tptp.replic782356601le_alt I_11) X_22))) (let ((_let_2 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_22))) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt _let_1) (tptp.hAPP_l84111627le_alt _let_2 tptp.nil_Ar557011903le_alt)) (tptp.hAPP_l84111627le_alt _let_2 _let_1))))) (forall ((N_12 tptp.nat) (X_21 tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt (tptp.hAPP_A1382181054le_alt (tptp.replic782356601le_alt N_12) X_21)) N_12)) (forall ((N_11 tptp.nat) (X_20 tptp.arrow_1893660431le_alt) (K_3 tptp.nat)) (let ((_let_1 (tptp.hAPP_A1382181054le_alt (tptp.replic782356601le_alt N_11) X_20))) (let ((_let_2 (tptp.hAPP_A1382181054le_alt (tptp.replic782356601le_alt K_3) X_20))) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt _let_1) _let_2) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt _let_2) _let_1))))) _let_7 (forall ((N_10 tptp.nat) (X_18 tptp.arrow_1893660431le_alt) (Xs_20 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_A1382181054le_alt (tptp.replic782356601le_alt N_10) X_18)))) (let ((_let_2 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_18))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt _let_2 Xs_20)) (tptp.hAPP_l84111627le_alt _let_2 (tptp.hAPP_l84111627le_alt _let_1 Xs_20)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Ar331856045t_bool) (X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.listre483979801le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool R_2 X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool _let_1 Xs_1) Ys_1)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1))))))) (forall ((R_2 tptp.fun_Ar331856045t_bool)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool (tptp.listre483979801le_alt R_2) tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt))) (forall ((Ys_5 tptp.list_A114658244le_alt) (Xs_19 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hd_Arr1236501138le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_19) Ys_5)))) (let ((_let_2 (= Xs_19 tptp.nil_Ar557011903le_alt))) (and (=> _let_2 (= _let_1 (tptp.hd_Arr1236501138le_alt Ys_5))) (=> (not _let_2) (= _let_1 (tptp.hd_Arr1236501138le_alt Xs_19))))))) (forall ((Ys_4 tptp.list_A114658244le_alt) (Xs_18 tptp.list_A114658244le_alt)) (=> (not (= Xs_18 tptp.nil_Ar557011903le_alt)) (= (tptp.hd_Arr1236501138le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_18) Ys_4)) (tptp.hd_Arr1236501138le_alt Xs_18)))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Pa) Xs_1))) (=> (not (= _let_1 tptp.nil_Ar557011903le_alt)) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa (tptp.hd_Arr1236501138le_alt _let_1))))))) (forall ((R_2 tptp.fun_Ar331856045t_bool) (A1 tptp.list_A114658244le_alt) (A2 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool (tptp.listre483979801le_alt R_2) A1) A2)) (or (and (= A1 tptp.nil_Ar557011903le_alt) (= A2 tptp.nil_Ar557011903le_alt)) (exists ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt) (Xs_17 tptp.list_A114658244le_alt) (Ys tptp.list_A114658244le_alt)) (and (= A1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Xs_17)) (= A2 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_9) Ys)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool R_2 X_1) Y_9)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool (tptp.listre483979801le_alt R_2) Xs_17) Ys))))))) (forall ((Xs_16 tptp.list_A114658244le_alt)) (=> (not (= Xs_16 tptp.nil_Ar557011903le_alt)) (= (tptp.last_A488133080le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_16)) (tptp.hd_Arr1236501138le_alt Xs_16)))) (forall ((Xs_15 tptp.list_A114658244le_alt)) (=> (not (= Xs_15 tptp.nil_Ar557011903le_alt)) (= (tptp.hd_Arr1236501138le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_15)) (tptp.last_A488133080le_alt Xs_15)))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Pa) Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Pa) Xs_1))) Xs_1))) (forall ((Xs_14 tptp.list_A114658244le_alt) (X_17 tptp.arrow_1893660431le_alt) (Ys_3 tptp.list_A114658244le_alt) (Y_12 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_14))) (= (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_17) Ys_3))) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_14)) Y_12) (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_12) Ys_3))))) (forall ((F tptp.fun_li90789869le_alt) (G tptp.fun_li90789869le_alt)) (= (tptp.produc1411910245le_alt F G) (tptp.hAPP_f1221439459le_alt tptp.produc2052829583le_alt (tptp.hAPP_f1274386949le_alt (tptp.hAPP_f905689843le_alt tptp.cOMBC_1284478484le_alt (tptp.hAPP_f1148079597le_alt (tptp.hAPP_f1250095511le_alt tptp.cOMBB_1247716816le_alt tptp.cOMBB_250395785le_alt) (tptp.hAPP_f1274386949le_alt (tptp.hAPP_f1142066787le_alt tptp.cOMBB_1071360260le_alt tptp.produc1742925389le_alt) F))) G)))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.transi1124010071le_alt (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Xs_1)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt (tptp.transi1687363644le_alt R_2))))) (forall ((Xs_13 tptp.list_A114658244le_alt) (X_16 tptp.arrow_1893660431le_alt) (X_15 tptp.arrow_1893660431le_alt) (I_10 tptp.nat) (I_9 tptp.nat)) (let ((_let_1 (tptp.list_u1480779303le_alt Xs_13))) (=> (not (= I_10 I_9)) (= (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt _let_1 I_10) X_16)) I_9) X_15) (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt _let_1 I_9) X_15)) I_10) X_16))))) (forall ((Xs_12 tptp.list_A114658244le_alt) (I_8 tptp.nat) (X_14 tptp.arrow_1893660431le_alt) (Y_11 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt Xs_12) I_8))) (= (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt (tptp.hAPP_A1382181054le_alt _let_1 X_14)) I_8) Y_11) (tptp.hAPP_A1382181054le_alt _let_1 Y_11)))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1) (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Ys_1)) (= Xs_1 Ys_1))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1) Ys_1) (= Xs_1 (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Ys_1)))) (forall ((Xs_11 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_11)) Xs_11)) (forall ((R_2 tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt (tptp.transi1687363644le_alt R_2)) (tptp.transi1124010071le_alt (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2)))) (forall ((N_9 tptp.nat)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt N_9) tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (= tptp.nil_Ar557011903le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1)) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1) tptp.nil_Ar557011903le_alt) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((Xs_10 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_10)) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_10))) (forall ((Xs_9 tptp.list_A114658244le_alt) (Ys_2 tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_9) Ys_2)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Ys_2)) (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_9)))) (forall ((I_7 tptp.nat) (Xs_8 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_8)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt I_7) Xs_8))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (K tptp.nat) (X_2 tptp.arrow_1893660431le_alt)) (= (= (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt Xs_1) K) X_2) tptp.nil_Ar557011903le_alt) (= Xs_1 tptp.nil_Ar557011903le_alt))) (forall ((I_6 tptp.nat) (V_1 tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt tptp.nil_Ar557011903le_alt) I_6) V_1) tptp.nil_Ar557011903le_alt)) (forall ((I_5 tptp.nat) (Y_10 tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt tptp.nil_Ar557011903le_alt) I_5) Y_10) tptp.nil_Ar557011903le_alt)) (forall ((Xs_7 tptp.list_A114658244le_alt) (I_4 tptp.nat) (X_13 tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt Xs_7) I_4) X_13)) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Xs_7))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_1)))) (forall ((N_8 tptp.nat) (X_12 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1382181054le_alt (tptp.replic782356601le_alt N_8) X_12))) (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt _let_1) _let_1))) (forall ((N_7 tptp.nat) (Xs_6 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt N_7))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_6)) (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_6))))) (forall ((N_6 tptp.nat) (Xs_5 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt N_6))) (= (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_5)) (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_5))))) (forall ((N_5 tptp.nat) (Xs_4 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt N_5))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt Xs_4)) (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_4))))) (forall ((N_4 tptp.nat) (Xs_3 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt N_4))) (= (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_3)) (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt Xs_3))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Y_2 tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.transi1124010071le_alt (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2)))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_2)) (tptp.transi1687363644le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2) Ys_1))) _let_1)))))) (forall ((Xs_1 tptp.list_l2028444773le_alt) (Ys_1 tptp.list_l2028444773le_alt) (X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.transi1249888786le_alt (tptp.hAPP_f417980453t_bool tptp.listre767458683le_alt R_2)))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) (tptp.transi1124010071le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt X_2) Xs_1)) (tptp.hAPP_l1913469717le_alt (tptp.hAPP_l1201992822le_alt tptp.cons_l782000996le_alt Y_2) Ys_1))) _let_1)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) tptp.nil_Ar557011903le_alt))) (= (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1) _let_1) (= Xs_1 _let_1)))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) tptp.nil_Ar557011903le_alt))) (= (= _let_1 (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1)) (= Xs_1 _let_1)))) (forall ((Zs_1 tptp.list_A114658244le_alt) (Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt (tptp.transi1687363644le_alt R_2)))) (let ((_let_2 (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Zs_1)) _let_1))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.transi1124010071le_alt (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2)))) (let ((_let_2 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt (tptp.hAPP_l84111627le_alt _let_2 Xs_1)) (tptp.hAPP_l84111627le_alt _let_2 Ys_1))) _let_1)))))) (forall ((X_2 tptp.list_A114658244le_alt) (Y_2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_2)) (tptp.transi1124010071le_alt (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2)))) (= (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt X_2) (tptp.hAPP_l1084348419lt_nat tptp.size_s2005684270le_alt Y_2)))) (forall ((X_11 tptp.arrow_1893660431le_alt) (Xs_2 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_11))) (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_2)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_2)) (tptp.hAPP_l84111627le_alt _let_1 tptp.nil_Ar557011903le_alt))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Y_2 tptp.arrow_1893660431le_alt) (Ys_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt Y_2))) (= (= (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1) (tptp.hAPP_l84111627le_alt _let_1 Ys_1)) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Ys_1)) (tptp.hAPP_l84111627le_alt _let_1 tptp.nil_Ar557011903le_alt)))))) (forall ((Xs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1) Ys_1)))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt (tptp.transi1687363644le_alt R_2))))))) (forall ((Aa tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Aa)) (tptp.transi1124010071le_alt R_2)))) (forall ((Aa tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Aa)) (tptp.transi1687363644le_alt R_2)))) (forall ((P_1 tptp.produc587761367le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt P_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.transi1124010071le_alt R_2)))))) (forall ((P_1 tptp.produc472769767le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt P_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.transi1687363644le_alt R_2)))))) (forall ((Ca tptp.list_A114658244le_alt) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.transi1124010071le_alt R_2))) (let ((_let_2 (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Ba)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ba) Ca)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Ca)) _let_1))))))) (forall ((Ca tptp.arrow_1893660431le_alt) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.transi1687363644le_alt R_2))) (let ((_let_2 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_2 Ba)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ba) Ca)) _let_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_2 Ca)) _let_1))))))) (forall ((Ca tptp.list_A114658244le_alt) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.transi1124010071le_alt R_2))) (let ((_let_2 (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Ba)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ba) Ca)) R_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Ca)) _let_1))))))) (forall ((Ca tptp.arrow_1893660431le_alt) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.transi1687363644le_alt R_2))) (let ((_let_2 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_2 Ba)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ba) Ca)) R_2)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_2 Ca)) _let_1))))))) (forall ((Ca tptp.list_A114658244le_alt) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.transi1124010071le_alt R_2))) (let ((_let_2 (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Ba)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ba) Ca)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Ca)) _let_1))))))) (forall ((Ca tptp.arrow_1893660431le_alt) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.transi1687363644le_alt R_2))) (let ((_let_2 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_2 Ba)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ba) Ca)) _let_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_2 Ca)) _let_1))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_f1592536333t_bool (tptp.hAPP_f2127477477t_bool tptp.cOMBB_388242475le_alt tptp.fNot) (tptp.hAPP_A2063800319t_bool (tptp.hAPP_f2095778909t_bool tptp.cOMBC_1826973210t_bool tptp.fequal1590852494le_alt) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (= (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt _let_1) (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1)) (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt (tptp.hAPP_l84111627le_alt tptp.tl_Arr1883752598le_alt (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt _let_1) Xs_1)))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f894608603t_bool tptp.cOMBB_bool_bool_nat tptp.fNot) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.fequal_nat) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_list_nat_bool tptp.distinct_nat Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (= (tptp.hAPP_l248265089st_nat (tptp.takeWhile_nat _let_1) (tptp.hAPP_l248265089st_nat tptp.rev_nat Xs_1)) (tptp.hAPP_l248265089st_nat tptp.rev_nat (tptp.hAPP_l248265089st_nat tptp.tl_nat (tptp.hAPP_l248265089st_nat (tptp.dropWhile_nat _let_1) Xs_1)))))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_f2146417685t_bool (tptp.hAPP_f202057843t_bool tptp.cOMBB_1985622715le_alt tptp.fNot) (tptp.hAPP_P1907587391t_bool (tptp.hAPP_f870273001t_bool tptp.cOMBC_2103205814t_bool tptp.fequal1054218392le_alt) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l255772864t_bool tptp.distin1934286196le_alt Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (= (tptp.hAPP_l922056661le_alt (tptp.takeWh797115118le_alt _let_1) (tptp.hAPP_l922056661le_alt tptp.rev_Pr844913607le_alt Xs_1)) (tptp.hAPP_l922056661le_alt tptp.rev_Pr844913607le_alt (tptp.hAPP_l922056661le_alt tptp.tl_Pro673569168le_alt (tptp.hAPP_l922056661le_alt (tptp.dropWh1985299526le_alt _let_1) Xs_1)))))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_f1612707285i_bool (tptp.hAPP_f1347397683i_bool tptp.cOMBB_1127256072e_indi tptp.fNot) (tptp.hAPP_A575544447i_bool (tptp.hAPP_f512805993i_bool tptp.cOMBC_1266306896i_bool tptp.fequal1182599525e_indi) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l311606797i_bool tptp.distin1343912001e_indi Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (= (tptp.hAPP_l713773333e_indi (tptp.takeWh259024059e_indi _let_1) (tptp.hAPP_l713773333e_indi tptp.rev_Ar2076519188e_indi Xs_1)) (tptp.hAPP_l713773333e_indi tptp.rev_Ar2076519188e_indi (tptp.hAPP_l713773333e_indi tptp.tl_Arr1600323165e_indi (tptp.hAPP_l713773333e_indi (tptp.dropWh587229715e_indi _let_1) Xs_1)))))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_f961197973l_bool (tptp.hAPP_f1172769267l_bool tptp.cOMBB_bool_bool_bool tptp.fNot) (tptp.hAPP_b589554111l_bool (tptp.hAPP_f1897201897l_bool tptp.cOMBC_bool_bool_bool tptp.fequal_bool) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_list_bool_bool tptp.distinct_bool Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (= (tptp.hAPP_l1189022293t_bool (tptp.takeWhile_bool _let_1) (tptp.hAPP_l1189022293t_bool tptp.rev_bool Xs_1)) (tptp.hAPP_l1189022293t_bool tptp.rev_bool (tptp.hAPP_l1189022293t_bool tptp.tl_bool (tptp.hAPP_l1189022293t_bool (tptp.dropWhile_bool _let_1) Xs_1)))))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f1181604821l_bool (tptp.hAPP_f1662395443l_bool tptp.cOMBB_1112311688t_bool tptp.fNot) (tptp.hAPP_f1105736319l_bool (tptp.hAPP_f1764760681l_bool tptp.cOMBC_57903184l_bool tptp.fequal1249241829t_bool) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l1502732685l_bool tptp.distin1644384705t_bool Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (= (tptp.hAPP_l1936976149t_bool (tptp.takeWh1969918523t_bool _let_1) (tptp.hAPP_l1936976149t_bool tptp.rev_fu1281784468t_bool Xs_1)) (tptp.hAPP_l1936976149t_bool tptp.rev_fu1281784468t_bool (tptp.hAPP_l1936976149t_bool tptp.tl_fun66473949t_bool (tptp.hAPP_l1936976149t_bool (tptp.dropWh1823459219t_bool _let_1) Xs_1)))))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f1060563265l_bool (tptp.hAPP_f1594093337l_bool tptp.cOMBB_882486469t_bool tptp.fNot) (tptp.hAPP_f930900275l_bool (tptp.hAPP_f599780549l_bool tptp.cOMBC_1554707866l_bool tptp.fequal1830749992t_bool) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l1252368702l_bool tptp.distin116221260t_bool Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (= (tptp.hAPP_l1229506623t_bool (tptp.takeWh2085154898t_bool _let_1) (tptp.hAPP_l1229506623t_bool tptp.rev_fu1613832889t_bool Xs_1)) (tptp.hAPP_l1229506623t_bool tptp.rev_fu1613832889t_bool (tptp.hAPP_l1229506623t_bool tptp.tl_fun496344112t_bool (tptp.hAPP_l1229506623t_bool (tptp.dropWh1706032378t_bool _let_1) Xs_1)))))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f819682389l_bool (tptp.hAPP_f1356804275l_bool tptp.cOMBB_1044350042t_bool tptp.fNot) (tptp.hAPP_f2087119359l_bool (tptp.hAPP_f410199913l_bool tptp.cOMBC_353845492l_bool tptp.fequal957608631t_bool) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l446901855l_bool tptp.distin194731411t_bool Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (= (tptp.hAPP_l179891349t_bool (tptp.takeWh1481438221t_bool _let_1) (tptp.hAPP_l179891349t_bool tptp.rev_fu2129709926t_bool Xs_1)) (tptp.hAPP_l179891349t_bool tptp.rev_fu2129709926t_bool (tptp.hAPP_l179891349t_bool tptp.tl_fun210444207t_bool (tptp.hAPP_l179891349t_bool (tptp.dropWh1724617061t_bool _let_1) Xs_1)))))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_f1356305429t_bool (tptp.hAPP_f1645126899t_bool tptp.cOMBB_325568203le_alt tptp.fNot) (tptp.hAPP_P393387327t_bool (tptp.hAPP_f1270778601t_bool tptp.cOMBC_1805080534t_bool tptp.fequal346320936le_alt) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l423847376t_bool tptp.distin748429060le_alt Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (= (tptp.hAPP_l1424955733le_alt (tptp.takeWh1421241214le_alt _let_1) (tptp.hAPP_l1424955733le_alt tptp.rev_Pr187933143le_alt Xs_1)) (tptp.hAPP_l1424955733le_alt tptp.rev_Pr187933143le_alt (tptp.hAPP_l1424955733le_alt tptp.tl_Pro2051728672le_alt (tptp.hAPP_l1424955733le_alt (tptp.dropWh1799418070le_alt _let_1) Xs_1)))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_f1592536333t_bool (tptp.hAPP_f2127477477t_bool tptp.cOMBB_388242475le_alt tptp.fNot) (tptp.hAPP_A2063800319t_bool (tptp.hAPP_f2095778909t_bool tptp.cOMBC_1826973210t_bool tptp.fequal1590852494le_alt) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (= (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt _let_1) (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt _let_1) Xs_1)))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f894608603t_bool tptp.cOMBB_bool_bool_nat tptp.fNot) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.fequal_nat) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_list_nat_bool tptp.distinct_nat Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (= (tptp.hAPP_l248265089st_nat (tptp.dropWhile_nat _let_1) (tptp.hAPP_l248265089st_nat tptp.rev_nat Xs_1)) (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) (tptp.hAPP_l248265089st_nat tptp.rev_nat (tptp.hAPP_l248265089st_nat (tptp.takeWhile_nat _let_1) Xs_1)))))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_f2146417685t_bool (tptp.hAPP_f202057843t_bool tptp.cOMBB_1985622715le_alt tptp.fNot) (tptp.hAPP_P1907587391t_bool (tptp.hAPP_f870273001t_bool tptp.cOMBC_2103205814t_bool tptp.fequal1054218392le_alt) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l255772864t_bool tptp.distin1934286196le_alt Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (= (tptp.hAPP_l922056661le_alt (tptp.dropWh1985299526le_alt _let_1) (tptp.hAPP_l922056661le_alt tptp.rev_Pr844913607le_alt Xs_1)) (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) (tptp.hAPP_l922056661le_alt tptp.rev_Pr844913607le_alt (tptp.hAPP_l922056661le_alt (tptp.takeWh797115118le_alt _let_1) Xs_1)))))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_f1612707285i_bool (tptp.hAPP_f1347397683i_bool tptp.cOMBB_1127256072e_indi tptp.fNot) (tptp.hAPP_A575544447i_bool (tptp.hAPP_f512805993i_bool tptp.cOMBC_1266306896i_bool tptp.fequal1182599525e_indi) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l311606797i_bool tptp.distin1343912001e_indi Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (= (tptp.hAPP_l713773333e_indi (tptp.dropWh587229715e_indi _let_1) (tptp.hAPP_l713773333e_indi tptp.rev_Ar2076519188e_indi Xs_1)) (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) (tptp.hAPP_l713773333e_indi tptp.rev_Ar2076519188e_indi (tptp.hAPP_l713773333e_indi (tptp.takeWh259024059e_indi _let_1) Xs_1)))))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_f961197973l_bool (tptp.hAPP_f1172769267l_bool tptp.cOMBB_bool_bool_bool tptp.fNot) (tptp.hAPP_b589554111l_bool (tptp.hAPP_f1897201897l_bool tptp.cOMBC_bool_bool_bool tptp.fequal_bool) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_list_bool_bool tptp.distinct_bool Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (= (tptp.hAPP_l1189022293t_bool (tptp.dropWhile_bool _let_1) (tptp.hAPP_l1189022293t_bool tptp.rev_bool Xs_1)) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) (tptp.hAPP_l1189022293t_bool tptp.rev_bool (tptp.hAPP_l1189022293t_bool (tptp.takeWhile_bool _let_1) Xs_1)))))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f1181604821l_bool (tptp.hAPP_f1662395443l_bool tptp.cOMBB_1112311688t_bool tptp.fNot) (tptp.hAPP_f1105736319l_bool (tptp.hAPP_f1764760681l_bool tptp.cOMBC_57903184l_bool tptp.fequal1249241829t_bool) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l1502732685l_bool tptp.distin1644384705t_bool Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (= (tptp.hAPP_l1936976149t_bool (tptp.dropWh1823459219t_bool _let_1) (tptp.hAPP_l1936976149t_bool tptp.rev_fu1281784468t_bool Xs_1)) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) (tptp.hAPP_l1936976149t_bool tptp.rev_fu1281784468t_bool (tptp.hAPP_l1936976149t_bool (tptp.takeWh1969918523t_bool _let_1) Xs_1)))))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f1060563265l_bool (tptp.hAPP_f1594093337l_bool tptp.cOMBB_882486469t_bool tptp.fNot) (tptp.hAPP_f930900275l_bool (tptp.hAPP_f599780549l_bool tptp.cOMBC_1554707866l_bool tptp.fequal1830749992t_bool) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l1252368702l_bool tptp.distin116221260t_bool Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (= (tptp.hAPP_l1229506623t_bool (tptp.dropWh1706032378t_bool _let_1) (tptp.hAPP_l1229506623t_bool tptp.rev_fu1613832889t_bool Xs_1)) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) (tptp.hAPP_l1229506623t_bool tptp.rev_fu1613832889t_bool (tptp.hAPP_l1229506623t_bool (tptp.takeWh2085154898t_bool _let_1) Xs_1)))))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f819682389l_bool (tptp.hAPP_f1356804275l_bool tptp.cOMBB_1044350042t_bool tptp.fNot) (tptp.hAPP_f2087119359l_bool (tptp.hAPP_f410199913l_bool tptp.cOMBC_353845492l_bool tptp.fequal957608631t_bool) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l446901855l_bool tptp.distin194731411t_bool Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (= (tptp.hAPP_l179891349t_bool (tptp.dropWh1724617061t_bool _let_1) (tptp.hAPP_l179891349t_bool tptp.rev_fu2129709926t_bool Xs_1)) (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) (tptp.hAPP_l179891349t_bool tptp.rev_fu2129709926t_bool (tptp.hAPP_l179891349t_bool (tptp.takeWh1481438221t_bool _let_1) Xs_1)))))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_f1356305429t_bool (tptp.hAPP_f1645126899t_bool tptp.cOMBB_325568203le_alt tptp.fNot) (tptp.hAPP_P393387327t_bool (tptp.hAPP_f1270778601t_bool tptp.cOMBC_1805080534t_bool tptp.fequal346320936le_alt) X_2)))) (=> (tptp.hBOOL (tptp.hAPP_l423847376t_bool tptp.distin748429060le_alt Xs_1)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (= (tptp.hAPP_l1424955733le_alt (tptp.dropWh1799418070le_alt _let_1) (tptp.hAPP_l1424955733le_alt tptp.rev_Pr187933143le_alt Xs_1)) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) (tptp.hAPP_l1424955733le_alt tptp.rev_Pr187933143le_alt (tptp.hAPP_l1424955733le_alt (tptp.takeWh1421241214le_alt _let_1) Xs_1)))))))) (forall ((Y_2 tptp.nat) (X_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Xs_1)))) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat Xs_1))))))) (forall ((Y_2 tptp.arrow_1893660431le_alt) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)))) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt Xs_1))))))) (forall ((Y_2 tptp.produc587761367le_alt) (X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Xs_1)))) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt Xs_1))))))) (forall ((Y_2 tptp.arrow_856714788e_indi) (X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Xs_1)))) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi Xs_1))))))) (forall ((Y_2 tptp.bool) (X_2 tptp.bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Xs_1)))) (or (= (tptp.hBOOL Y_2) (tptp.hBOOL X_2)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs_1))))))) (forall ((Y_2 tptp.fun_fu2114379172t_bool) (X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Xs_1)))) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool Xs_1))))))) (forall ((Y_2 tptp.fun_Pr2067565481t_bool) (X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Xs_1)))) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool Xs_1))))))) (forall ((Y_2 tptp.fun_Ar274636406t_bool) (X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Xs_1)))) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool Xs_1))))))) (forall ((Y_2 tptp.produc472769767le_alt) (X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Xs_1)))) (or (= Y_2 X_2) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt Xs_1))))))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt tptp.rev_Ar377224735le_alt Xs_1)) (tptp.set_Ar1995755744le_alt Xs_1))) (forall ((X_2 tptp.nat) (N_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.drop_nat N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat Xs_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (N_2 tptp.nat) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt Xs_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (N_2 tptp.nat) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt (tptp.hAPP_l922056661le_alt (tptp.hAPP_n648772104le_alt tptp.drop_P663726311le_alt N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt Xs_1)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (N_2 tptp.nat) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi (tptp.hAPP_l713773333e_indi (tptp.hAPP_n914286664e_indi tptp.drop_A1023486004e_indi N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi Xs_1)))))) (forall ((X_2 tptp.bool) (N_2 tptp.nat) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_n479129736t_bool tptp.drop_bool N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (N_2 tptp.nat) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool (tptp.hAPP_l1936976149t_bool (tptp.hAPP_n679397960t_bool tptp.drop_f1976219572t_bool N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool Xs_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (N_2 tptp.nat) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool (tptp.hAPP_l1229506623t_bool (tptp.hAPP_n435915628t_bool tptp.drop_f1214627225t_bool N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool Xs_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (N_2 tptp.nat) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool (tptp.hAPP_l179891349t_bool (tptp.hAPP_n1109524424t_bool tptp.drop_f1253107846t_bool N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool Xs_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (N_2 tptp.nat) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt (tptp.hAPP_l1424955733le_alt (tptp.hAPP_n1575317256le_alt tptp.drop_P2052955895le_alt N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt Xs_1)))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Pa) Xs_1) Xs_1) (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))))) (forall ((X_2 tptp.nat) (Pa tptp.fun_nat_bool) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat (tptp.hAPP_l248265089st_nat (tptp.takeWhile_nat Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat Xs_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_2)))))) (forall ((X_2 tptp.produc587761367le_alt) (Pa tptp.fun_Pr486337689t_bool) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt (tptp.hAPP_l922056661le_alt (tptp.takeWh797115118le_alt Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X_2)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Pa tptp.fun_Ar1809396326i_bool) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi (tptp.hAPP_l713773333e_indi (tptp.takeWh259024059e_indi Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi Xs_1))) (tptp.hBOOL (tptp.hAPP_A997847300i_bool Pa X_2)))))) (forall ((X_2 tptp.bool) (Pa tptp.fun_bool_bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool (tptp.takeWhile_bool Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_2)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Pa tptp.fun_fu2098777574l_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool (tptp.hAPP_l1936976149t_bool (tptp.takeWh1969918523t_bool Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Pa X_2)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Pa tptp.fun_fu638310559l_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool (tptp.hAPP_l1229506623t_bool (tptp.takeWh2085154898t_bool Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool Pa X_2)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Pa tptp.fun_fu3835832l_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool (tptp.hAPP_l179891349t_bool (tptp.takeWh1481438221t_bool Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f995490902l_bool Pa X_2)))))) (forall ((X_2 tptp.produc472769767le_alt) (Pa tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt (tptp.hAPP_l1424955733le_alt (tptp.takeWh1421241214le_alt Pa) Xs_1)))) (and (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X_2)))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat (tptp.hAPP_l248265089st_nat tptp.butlast_nat Xs_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat Xs_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt Xs_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt (tptp.hAPP_l922056661le_alt tptp.butlas1837197275le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt Xs_1)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi (tptp.hAPP_l713773333e_indi tptp.butlas981234984e_indi Xs_1)))) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi Xs_1)))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool tptp.butlast_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool (tptp.hAPP_l1936976149t_bool tptp.butlas1125166248t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool Xs_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool (tptp.hAPP_l1229506623t_bool tptp.butlas1729912741t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool Xs_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool (tptp.hAPP_l179891349t_bool tptp.butlas481790330t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool Xs_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt (tptp.hAPP_l1424955733le_alt tptp.butlas1780591595le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt Xs_1)))))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (= (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt tptp.rotate1753650700le_alt Xs_1)) (tptp.set_Ar1995755744le_alt Xs_1))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (= (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.insert_nat X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.insert1391384533le_alt X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (= (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.insert559460497le_alt X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (= (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.insert901693150e_indi X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (= (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.insert_bool X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (= (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.insert1598751326t_bool X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (= (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.insert774660719t_bool X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (= (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.insert1837816112t_bool X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (= (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.insert148673953le_alt X_2) Xs_1) Xs_1))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (= (tptp.hBOOL (tptp.hAPP_list_nat_bool tptp.distinct_nat (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1)))) (tptp.hBOOL (tptp.hAPP_list_nat_bool tptp.distinct_nat Xs_1))))) _let_6 (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (= (tptp.hBOOL (tptp.hAPP_l255772864t_bool tptp.distin1934286196le_alt (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_l255772864t_bool tptp.distin1934286196le_alt Xs_1))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (= (tptp.hBOOL (tptp.hAPP_l311606797i_bool tptp.distin1343912001e_indi (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1)))) (tptp.hBOOL (tptp.hAPP_l311606797i_bool tptp.distin1343912001e_indi Xs_1))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (= (tptp.hBOOL (tptp.hAPP_list_bool_bool tptp.distinct_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_list_bool_bool tptp.distinct_bool Xs_1))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (= (tptp.hBOOL (tptp.hAPP_l1502732685l_bool tptp.distin1644384705t_bool (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_l1502732685l_bool tptp.distin1644384705t_bool Xs_1))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (= (tptp.hBOOL (tptp.hAPP_l1252368702l_bool tptp.distin116221260t_bool (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_l1252368702l_bool tptp.distin116221260t_bool Xs_1))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (= (tptp.hBOOL (tptp.hAPP_l446901855l_bool tptp.distin194731411t_bool (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_l446901855l_bool tptp.distin194731411t_bool Xs_1))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (= (tptp.hBOOL (tptp.hAPP_l423847376t_bool tptp.distin748429060le_alt (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Xs_1))) (and (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_l423847376t_bool tptp.distin748429060le_alt Xs_1))))) (forall ((Ys_1 tptp.list_nat) (Pa tptp.fun_nat_bool) (X_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.takeWhile_nat Pa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2))) (= (tptp.hAPP_l248265089st_nat _let_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Xs_1) Ys_1)) (tptp.hAPP_l248265089st_nat _let_1 Xs_1)))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (Pa tptp.fun_Ar17477381t_bool) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.takeWh967109304le_alt Pa))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_2))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1)) (tptp.hAPP_l84111627le_alt _let_1 Xs_1)))))) (forall ((Ys_1 tptp.list_P662130680le_alt) (Pa tptp.fun_Pr486337689t_bool) (X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.takeWh797115118le_alt Pa))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X_2))) (= (tptp.hAPP_l922056661le_alt _let_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Xs_1) Ys_1)) (tptp.hAPP_l922056661le_alt _let_1 Xs_1)))))) (forall ((Ys_1 tptp.list_A270647749e_indi) (Pa tptp.fun_Ar1809396326i_bool) (X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.takeWh259024059e_indi Pa))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_A997847300i_bool Pa X_2))) (= (tptp.hAPP_l713773333e_indi _let_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Xs_1) Ys_1)) (tptp.hAPP_l713773333e_indi _let_1 Xs_1)))))) (forall ((Ys_1 tptp.list_bool) (Pa tptp.fun_bool_bool) (X_2 tptp.bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.takeWhile_bool Pa))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_2))) (= (tptp.hAPP_l1189022293t_bool _let_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs_1) Ys_1)) (tptp.hAPP_l1189022293t_bool _let_1 Xs_1)))))) (forall ((Ys_1 tptp.list_f1981087045t_bool) (Pa tptp.fun_fu2098777574l_bool) (X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.takeWh1969918523t_bool Pa))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Pa X_2))) (= (tptp.hAPP_l1936976149t_bool _let_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Xs_1) Ys_1)) (tptp.hAPP_l1936976149t_bool _let_1 Xs_1)))))) (forall ((Ys_1 tptp.list_f733367646t_bool) (Pa tptp.fun_fu638310559l_bool) (X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.takeWh2085154898t_bool Pa))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool Pa X_2))) (= (tptp.hAPP_l1229506623t_bool _let_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Xs_1) Ys_1)) (tptp.hAPP_l1229506623t_bool _let_1 Xs_1)))))) (forall ((Ys_1 tptp.list_f1976315671t_bool) (Pa tptp.fun_fu3835832l_bool) (X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.takeWh1481438221t_bool Pa))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f995490902l_bool Pa X_2))) (= (tptp.hAPP_l179891349t_bool _let_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Xs_1) Ys_1)) (tptp.hAPP_l179891349t_bool _let_1 Xs_1)))))) (forall ((Ys_1 tptp.list_P1419683592le_alt) (Pa tptp.fun_Pr2067565481t_bool) (X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.takeWh1421241214le_alt Pa))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X_2))) (= (tptp.hAPP_l1424955733le_alt _let_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Xs_1) Ys_1)) (tptp.hAPP_l1424955733le_alt _let_1 Xs_1)))))) _let_5 (forall ((As tptp.list_nat)) (=> (not (= As tptp.nil_nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.last_nat As)) (tptp.set_nat As))))) (forall ((As tptp.list_P662130680le_alt)) (=> (not (= As tptp.nil_Pr1738530343le_alt)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.last_P1104483278le_alt As)) (tptp.set_Pr1785012934le_alt As))))) (forall ((As tptp.list_A270647749e_indi)) (=> (not (= As tptp.nil_Ar1954758004e_indi)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.last_A1878443419e_indi As)) (tptp.set_Ar205654163e_indi As))))) (forall ((As tptp.list_bool)) (=> (not (= As tptp.nil_bool)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.last_bool As)) (tptp.set_bool As))))) (forall ((As tptp.list_f1981087045t_bool)) (=> (not (= As tptp.nil_fu1881361652t_bool)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.last_f1285862171t_bool As)) (tptp.set_fu2135320083t_bool As))))) (forall ((As tptp.list_f733367646t_bool)) (=> (not (= As tptp.nil_fu1079711833t_bool)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.last_f537687922t_bool As)) (tptp.set_fu1957445242t_bool As))))) (forall ((As tptp.list_f1976315671t_bool)) (=> (not (= As tptp.nil_fu2063482310t_bool)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.last_f1589458157t_bool As)) (tptp.set_fu2037886949t_bool As))))) (forall ((As tptp.list_P1419683592le_alt)) (=> (not (= As tptp.nil_Pr1980478519le_alt)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.last_P628018270le_alt As)) (tptp.set_Pr496668502le_alt As))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (= (= (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Pa) Xs_1) tptp.nil_Ar557011903le_alt) (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))))) (forall ((Ys_1 tptp.list_nat) (X_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat (tptp.hAPP_l248265089st_nat tptp.butlast_nat Xs_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat (tptp.hAPP_l248265089st_nat tptp.butlast_nat Ys_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat (tptp.hAPP_l248265089st_nat tptp.butlast_nat (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Xs_1) Ys_1)))))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt Ys_1))))) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt tptp.butlas1693249291le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1)))))))) (forall ((Ys_1 tptp.list_P662130680le_alt) (X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt (tptp.hAPP_l922056661le_alt tptp.butlas1837197275le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt (tptp.hAPP_l922056661le_alt tptp.butlas1837197275le_alt Ys_1))))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt (tptp.hAPP_l922056661le_alt tptp.butlas1837197275le_alt (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Xs_1) Ys_1)))))))) (forall ((Ys_1 tptp.list_A270647749e_indi) (X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi (tptp.hAPP_l713773333e_indi tptp.butlas981234984e_indi Xs_1)))) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi (tptp.hAPP_l713773333e_indi tptp.butlas981234984e_indi Ys_1))))) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi (tptp.hAPP_l713773333e_indi tptp.butlas981234984e_indi (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Xs_1) Ys_1)))))))) (forall ((Ys_1 tptp.list_bool) (X_2 tptp.bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool tptp.butlast_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool tptp.butlast_bool Ys_1))))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool tptp.butlast_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs_1) Ys_1)))))))) (forall ((Ys_1 tptp.list_f1981087045t_bool) (X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool (tptp.hAPP_l1936976149t_bool tptp.butlas1125166248t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool (tptp.hAPP_l1936976149t_bool tptp.butlas1125166248t_bool Ys_1))))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool (tptp.hAPP_l1936976149t_bool tptp.butlas1125166248t_bool (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Xs_1) Ys_1)))))))) (forall ((Ys_1 tptp.list_f733367646t_bool) (X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool (tptp.hAPP_l1229506623t_bool tptp.butlas1729912741t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool (tptp.hAPP_l1229506623t_bool tptp.butlas1729912741t_bool Ys_1))))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool (tptp.hAPP_l1229506623t_bool tptp.butlas1729912741t_bool (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Xs_1) Ys_1)))))))) (forall ((Ys_1 tptp.list_f1976315671t_bool) (X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool (tptp.hAPP_l179891349t_bool tptp.butlas481790330t_bool Xs_1)))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool (tptp.hAPP_l179891349t_bool tptp.butlas481790330t_bool Ys_1))))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool (tptp.hAPP_l179891349t_bool tptp.butlas481790330t_bool (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Xs_1) Ys_1)))))))) (forall ((Ys_1 tptp.list_P1419683592le_alt) (X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2))) (=> (or (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt (tptp.hAPP_l1424955733le_alt tptp.butlas1780591595le_alt Xs_1)))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt (tptp.hAPP_l1424955733le_alt tptp.butlas1780591595le_alt Ys_1))))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt (tptp.hAPP_l1424955733le_alt tptp.butlas1780591595le_alt (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Xs_1) Ys_1)))))))) (forall ((Xs_1 tptp.list_A114658244le_alt)) (=> (not (= Xs_1 tptp.nil_Ar557011903le_alt)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt (tptp.hd_Arr1236501138le_alt Xs_1)) (tptp.set_Ar1995755744le_alt Xs_1))))) (forall ((Xs_1 tptp.list_nat)) (=> (not (= Xs_1 tptp.nil_nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hd_nat Xs_1)) (tptp.set_nat Xs_1))))) (forall ((Xs_1 tptp.list_P662130680le_alt)) (=> (not (= Xs_1 tptp.nil_Pr1738530343le_alt)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hd_Pro82081940le_alt Xs_1)) (tptp.set_Pr1785012934le_alt Xs_1))))) (forall ((Xs_1 tptp.list_A270647749e_indi)) (=> (not (= Xs_1 tptp.nil_Ar1954758004e_indi)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi (tptp.hd_Arr451003233e_indi Xs_1)) (tptp.set_Ar205654163e_indi Xs_1))))) (forall ((Xs_1 tptp.list_bool)) (=> (not (= Xs_1 tptp.nil_bool)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hd_bool Xs_1)) (tptp.set_bool Xs_1))))) (forall ((Xs_1 tptp.list_f1981087045t_bool)) (=> (not (= Xs_1 tptp.nil_fu1881361652t_bool)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool (tptp.hd_fun1991171297t_bool Xs_1)) (tptp.set_fu2135320083t_bool Xs_1))))) (forall ((Xs_1 tptp.list_f733367646t_bool)) (=> (not (= Xs_1 tptp.nil_fu1079711833t_bool)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool (tptp.hd_fun1302671916t_bool Xs_1)) (tptp.set_fu1957445242t_bool Xs_1))))) (forall ((Xs_1 tptp.list_f1976315671t_bool)) (=> (not (= Xs_1 tptp.nil_fu2063482310t_bool)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool (tptp.hd_fun449104051t_bool Xs_1)) (tptp.set_fu2037886949t_bool Xs_1))))) (forall ((Xs_1 tptp.list_P1419683592le_alt)) (=> (not (= Xs_1 tptp.nil_Pr1980478519le_alt)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hd_Pro1416718884le_alt Xs_1)) (tptp.set_Pr496668502le_alt Xs_1))))) (forall ((Ys_1 tptp.list_nat) (Pa tptp.fun_nat_bool) (X_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.dropWhile_nat Pa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2))) (= (tptp.hAPP_l248265089st_nat _let_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Xs_1) Ys_1)) (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat (tptp.hAPP_l248265089st_nat _let_1 Xs_1)) Ys_1)))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (Pa tptp.fun_Ar17477381t_bool) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.dropWh587599712le_alt Pa))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_2))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1)) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_1)) Ys_1)))))) (forall ((Ys_1 tptp.list_P662130680le_alt) (Pa tptp.fun_Pr486337689t_bool) (X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.dropWh1985299526le_alt Pa))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X_2))) (= (tptp.hAPP_l922056661le_alt _let_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Xs_1) Ys_1)) (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt (tptp.hAPP_l922056661le_alt _let_1 Xs_1)) Ys_1)))))) (forall ((Ys_1 tptp.list_A270647749e_indi) (Pa tptp.fun_Ar1809396326i_bool) (X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.dropWh587229715e_indi Pa))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_A997847300i_bool Pa X_2))) (= (tptp.hAPP_l713773333e_indi _let_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Xs_1) Ys_1)) (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi (tptp.hAPP_l713773333e_indi _let_1 Xs_1)) Ys_1)))))) (forall ((Ys_1 tptp.list_bool) (Pa tptp.fun_bool_bool) (X_2 tptp.bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.dropWhile_bool Pa))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_2))) (= (tptp.hAPP_l1189022293t_bool _let_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs_1) Ys_1)) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool (tptp.hAPP_l1189022293t_bool _let_1 Xs_1)) Ys_1)))))) (forall ((Ys_1 tptp.list_f1981087045t_bool) (Pa tptp.fun_fu2098777574l_bool) (X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.dropWh1823459219t_bool Pa))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Pa X_2))) (= (tptp.hAPP_l1936976149t_bool _let_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Xs_1) Ys_1)) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool (tptp.hAPP_l1936976149t_bool _let_1 Xs_1)) Ys_1)))))) (forall ((Ys_1 tptp.list_f733367646t_bool) (Pa tptp.fun_fu638310559l_bool) (X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.dropWh1706032378t_bool Pa))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool Pa X_2))) (= (tptp.hAPP_l1229506623t_bool _let_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Xs_1) Ys_1)) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool (tptp.hAPP_l1229506623t_bool _let_1 Xs_1)) Ys_1)))))) (forall ((Ys_1 tptp.list_f1976315671t_bool) (Pa tptp.fun_fu3835832l_bool) (X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.dropWh1724617061t_bool Pa))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f995490902l_bool Pa X_2))) (= (tptp.hAPP_l179891349t_bool _let_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Xs_1) Ys_1)) (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool (tptp.hAPP_l179891349t_bool _let_1 Xs_1)) Ys_1)))))) (forall ((Ys_1 tptp.list_P1419683592le_alt) (Pa tptp.fun_Pr2067565481t_bool) (X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.dropWh1799418070le_alt Pa))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (=> (not (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X_2))) (= (tptp.hAPP_l1424955733le_alt _let_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Xs_1) Ys_1)) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt (tptp.hAPP_l1424955733le_alt _let_1 Xs_1)) Ys_1)))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.insert_nat X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Xs_1))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.insert1391384533le_alt X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1))))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.insert559460497le_alt X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Xs_1))))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.insert901693150e_indi X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Xs_1))))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.insert_bool X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Xs_1))))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.insert1598751326t_bool X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Xs_1))))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.insert774660719t_bool X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Xs_1))))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.insert1837816112t_bool X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Xs_1))))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.insert148673953le_alt X_2) Xs_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))))) (and (=> _let_2 (= _let_1 Xs_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Xs_1))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1)))) (= (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.insert_nat X_2) Xs_1) (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Xs_1)))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (=> (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1)))) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.insert1391384533le_alt X_2) Xs_1) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1)))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (=> (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1)))) (= (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.insert559460497le_alt X_2) Xs_1) (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Xs_1)))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (=> (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1)))) (= (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.insert901693150e_indi X_2) Xs_1) (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Xs_1)))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1)))) (= (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.insert_bool X_2) Xs_1) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Xs_1)))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1)))) (= (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.insert1598751326t_bool X_2) Xs_1) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Xs_1)))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1)))) (= (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.insert774660719t_bool X_2) Xs_1) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Xs_1)))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1)))) (= (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.insert1837816112t_bool X_2) Xs_1) (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Xs_1)))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (=> (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1)))) (= (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.insert148673953le_alt X_2) Xs_1) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Xs_1)))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt) (Yes tptp.list_A114658244le_alt) (No tptp.list_A114658244le_alt)) (=> (= (tptp.partit758395576le_alt Pa Xs_1) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Yes) No)) (and (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Yes))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt No))) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))))))) (forall ((Zs_1 tptp.list_A114658244le_alt) (Ys_1 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_f369701637t_bool tptp.lexord228913196le_alt R_2))) (let ((_let_2 (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xs_1))) (=> (forall ((X_1 tptp.arrow_1893660431le_alt) (Y_9 tptp.arrow_1893660431le_alt) (Z_4 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_l2028444773le_alt) (Ys_1 tptp.list_l2028444773le_alt) (R_2 tptp.fun_Pr486337689t_bool) (Xs_1 tptp.list_l2028444773le_alt)) (let ((_let_1 (tptp.hAPP_f417980453t_bool tptp.lexord616819815le_alt R_2))) (let ((_let_2 (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Xs_1))) (=> (forall ((X_1 tptp.list_A114658244le_alt) (Y_9 tptp.list_A114658244le_alt) (Z_4 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f1996171982l_bool (tptp.hAPP_l1280938307l_bool tptp.member1145038001le_alt X_1) (tptp.set_li1778885299le_alt Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt (tptp.hAPP_l949242293le_alt tptp.produc48145751le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f155771121l_bool (tptp.hAPP_P2060499849l_bool tptp.member399934036le_alt (tptp.hAPP_l571271991le_alt _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_nat) (Ys_1 tptp.list_nat) (R_2 tptp.fun_Pr1927655017t_bool) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_f29979067t_bool tptp.lexord_nat R_2))) (let ((_let_2 (tptp.hAPP_l1148138287st_nat tptp.produc1869962435st_nat Xs_1))) (=> (forall ((X_1 tptp.nat) (Y_9 tptp.nat) (Z_4 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat X_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.set_nat Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f879361201l_bool (tptp.hAPP_P1251024649l_bool tptp.member232255508at_nat (tptp.hAPP_n1289843868at_nat _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f879361201l_bool (tptp.hAPP_P1251024649l_bool tptp.member232255508at_nat (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f879361201l_bool (tptp.hAPP_P1251024649l_bool tptp.member232255508at_nat (tptp.hAPP_n1289843868at_nat _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f1919691607l_bool (tptp.hAPP_P1736545109l_bool tptp.member910422074st_nat (tptp.hAPP_l318352527st_nat _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1919691607l_bool (tptp.hAPP_P1736545109l_bool tptp.member910422074st_nat (tptp.hAPP_l318352527st_nat (tptp.hAPP_l1148138287st_nat tptp.produc1869962435st_nat Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1919691607l_bool (tptp.hAPP_P1736545109l_bool tptp.member910422074st_nat (tptp.hAPP_l318352527st_nat _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_P662130680le_alt) (Ys_1 tptp.list_P662130680le_alt) (R_2 tptp.fun_Pr31738815t_bool) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_f2027451327t_bool tptp.lexord198649978le_alt R_2))) (let ((_let_2 (tptp.hAPP_l331879323le_alt tptp.produc1238470167le_alt Xs_1))) (=> (forall ((X_1 tptp.produc587761367le_alt) (Y_9 tptp.produc587761367le_alt) (Z_4 tptp.produc587761367le_alt)) (let ((_let_1 (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) (tptp.set_Pr1785012934le_alt Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f354949425l_bool (tptp.hAPP_P1538717705l_bool tptp.member2130615444le_alt (tptp.hAPP_l235329034le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f354949425l_bool (tptp.hAPP_P1538717705l_bool tptp.member2130615444le_alt (tptp.hAPP_l235329034le_alt (tptp.hAPP_l331879323le_alt tptp.produc1238470167le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f354949425l_bool (tptp.hAPP_P1538717705l_bool tptp.member2130615444le_alt (tptp.hAPP_l235329034le_alt _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_A270647749e_indi) (Ys_1 tptp.list_A270647749e_indi) (R_2 tptp.fun_Pr140956505i_bool) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_f1690083045i_bool tptp.lexord1088797767e_indi R_2))) (let ((_let_2 (tptp.hAPP_l814083573e_indi tptp.produc1006390615e_indi Xs_1))) (=> (forall ((X_1 tptp.arrow_856714788e_indi) (Y_9 tptp.arrow_856714788e_indi) (Z_4 tptp.arrow_856714788e_indi)) (let ((_let_1 (tptp.hAPP_A1516404665e_indi tptp.produc1408223885e_indi X_1))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) (tptp.set_Ar205654163e_indi Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f1031426977l_bool (tptp.hAPP_P67597801l_bool tptp.member155382916e_indi (tptp.hAPP_A108654910e_indi _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f1031426977l_bool (tptp.hAPP_P67597801l_bool tptp.member155382916e_indi (tptp.hAPP_A108654910e_indi (tptp.hAPP_A1516404665e_indi tptp.produc1408223885e_indi Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f1031426977l_bool (tptp.hAPP_P67597801l_bool tptp.member155382916e_indi (tptp.hAPP_A108654910e_indi _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f1678148209l_bool (tptp.hAPP_P329666697l_bool tptp.member1257664212e_indi (tptp.hAPP_l321397271e_indi _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1678148209l_bool (tptp.hAPP_P329666697l_bool tptp.member1257664212e_indi (tptp.hAPP_l321397271e_indi (tptp.hAPP_l814083573e_indi tptp.produc1006390615e_indi Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1678148209l_bool (tptp.hAPP_P329666697l_bool tptp.member1257664212e_indi (tptp.hAPP_l321397271e_indi _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_bool) (Ys_1 tptp.list_bool) (R_2 tptp.fun_Pr754217419l_bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_f1114274611l_bool tptp.lexord_bool R_2))) (let ((_let_2 (tptp.hAPP_l218095399t_bool tptp.produc1067887767t_bool Xs_1))) (=> (forall ((X_1 tptp.bool) (Y_9 tptp.bool) (Z_4 tptp.bool)) (let ((_let_1 (tptp.hAPP_b1115999851l_bool tptp.produc1246214911l_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f1098788115l_bool (tptp.hAPP_P738148045l_bool tptp.member624253174l_bool (tptp.hAPP_b2048821609l_bool _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f1098788115l_bool (tptp.hAPP_P738148045l_bool tptp.member624253174l_bool (tptp.hAPP_b2048821609l_bool (tptp.hAPP_b1115999851l_bool tptp.produc1246214911l_bool Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f1098788115l_bool (tptp.hAPP_P738148045l_bool tptp.member624253174l_bool (tptp.hAPP_b2048821609l_bool _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f263022001l_bool (tptp.hAPP_P1870454025l_bool tptp.member1058364180t_bool (tptp.hAPP_l1349316624t_bool _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f263022001l_bool (tptp.hAPP_P1870454025l_bool tptp.member1058364180t_bool (tptp.hAPP_l1349316624t_bool (tptp.hAPP_l218095399t_bool tptp.produc1067887767t_bool Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f263022001l_bool (tptp.hAPP_P1870454025l_bool tptp.member1058364180t_bool (tptp.hAPP_l1349316624t_bool _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_f1981087045t_bool) (Ys_1 tptp.list_f1981087045t_bool) (R_2 tptp.fun_Pr1885043289l_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f203861477l_bool tptp.lexord1846952391t_bool R_2))) (let ((_let_2 (tptp.hAPP_l559590133t_bool tptp.produc836087127t_bool Xs_1))) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool) (Y_9 tptp.fun_fu2114379172t_bool) (Z_4 tptp.fun_fu2114379172t_bool)) (let ((_let_1 (tptp.hAPP_f1528586425t_bool tptp.produc857581453t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) (tptp.set_fu2135320083t_bool Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f1832307361l_bool (tptp.hAPP_P1486810089l_bool tptp.member331044740t_bool (tptp.hAPP_f1291584446t_bool _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f1832307361l_bool (tptp.hAPP_P1486810089l_bool tptp.member331044740t_bool (tptp.hAPP_f1291584446t_bool (tptp.hAPP_f1528586425t_bool tptp.produc857581453t_bool Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f1832307361l_bool (tptp.hAPP_P1486810089l_bool tptp.member331044740t_bool (tptp.hAPP_f1291584446t_bool _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f1547577457l_bool (tptp.hAPP_P886531209l_bool tptp.member292487380t_bool (tptp.hAPP_l2146059159t_bool _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1547577457l_bool (tptp.hAPP_P886531209l_bool tptp.member292487380t_bool (tptp.hAPP_l2146059159t_bool (tptp.hAPP_l559590133t_bool tptp.produc836087127t_bool Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1547577457l_bool (tptp.hAPP_P886531209l_bool tptp.member292487380t_bool (tptp.hAPP_l2146059159t_bool _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_f733367646t_bool) (Ys_1 tptp.list_f733367646t_bool) (R_2 tptp.fun_Pr932490025l_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f93904057l_bool tptp.lexord1057491398t_bool R_2))) (let ((_let_2 (tptp.hAPP_l315980333t_bool tptp.produc2021583233t_bool Xs_1))) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool) (Y_9 tptp.fun_Pr2067565481t_bool) (Z_4 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f1337878717t_bool tptp.produc873875543t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) (tptp.set_fu1957445242t_bool Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f808625521l_bool (tptp.hAPP_P1653001865l_bool tptp.member1681679828t_bool (tptp.hAPP_f174661371t_bool _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f808625521l_bool (tptp.hAPP_P1653001865l_bool tptp.member1681679828t_bool (tptp.hAPP_f174661371t_bool (tptp.hAPP_f1337878717t_bool tptp.produc873875543t_bool Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f808625521l_bool (tptp.hAPP_P1653001865l_bool tptp.member1681679828t_bool (tptp.hAPP_f174661371t_bool _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f582070293l_bool (tptp.hAPP_P563751121l_bool tptp.member2002415608t_bool (tptp.hAPP_l1900989676t_bool _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f582070293l_bool (tptp.hAPP_P563751121l_bool tptp.member2002415608t_bool (tptp.hAPP_l1900989676t_bool (tptp.hAPP_l315980333t_bool tptp.produc2021583233t_bool Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f582070293l_bool (tptp.hAPP_P563751121l_bool tptp.member2002415608t_bool (tptp.hAPP_l1900989676t_bool _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_f1976315671t_bool) (Ys_1 tptp.list_f1976315671t_bool) (R_2 tptp.fun_Pr1677349629l_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f1168976833l_bool tptp.lexord41383833t_bool R_2))) (let ((_let_2 (tptp.hAPP_l197476889t_bool tptp.produc1633570007t_bool Xs_1))) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool) (Y_9 tptp.fun_Ar274636406t_bool) (Z_4 tptp.fun_Ar274636406t_bool)) (let ((_let_1 (tptp.hAPP_f970649309t_bool tptp.produc148697137t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) (tptp.set_fu2037886949t_bool Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f265509189l_bool (tptp.hAPP_P53043505l_bool tptp.member565818408t_bool (tptp.hAPP_f876036148t_bool _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f265509189l_bool (tptp.hAPP_P53043505l_bool tptp.member565818408t_bool (tptp.hAPP_f876036148t_bool (tptp.hAPP_f970649309t_bool tptp.produc148697137t_bool Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f265509189l_bool (tptp.hAPP_P53043505l_bool tptp.member565818408t_bool (tptp.hAPP_f876036148t_bool _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f612957169l_bool (tptp.hAPP_P1143334793l_bool tptp.member2134761044t_bool (tptp.hAPP_l905633001t_bool _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f612957169l_bool (tptp.hAPP_P1143334793l_bool tptp.member2134761044t_bool (tptp.hAPP_l905633001t_bool (tptp.hAPP_l197476889t_bool tptp.produc1633570007t_bool Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f612957169l_bool (tptp.hAPP_P1143334793l_bool tptp.member2134761044t_bool (tptp.hAPP_l905633001t_bool _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 tptp.list_P1419683592le_alt) (Ys_1 tptp.list_P1419683592le_alt) (R_2 tptp.fun_Pr773225055t_bool) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_f1695872799t_bool tptp.lexord1620771594le_alt R_2))) (let ((_let_2 (tptp.hAPP_l48758843le_alt tptp.produc214947223le_alt Xs_1))) (=> (forall ((X_1 tptp.produc472769767le_alt) (Y_9 tptp.produc472769767le_alt) (Z_4 tptp.produc472769767le_alt)) (let ((_let_1 (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) (tptp.set_Pr496668502le_alt Xs_1))) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt _let_1 Y_9)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt Y_9) Z_4)) R_2)) (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt _let_1 Z_4)) R_2))))))) (=> (tptp.hBOOL (tptp.hAPP_f615328049l_bool (tptp.hAPP_P641400329l_bool tptp.member828077460le_alt (tptp.hAPP_l1149277722le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f615328049l_bool (tptp.hAPP_P641400329l_bool tptp.member828077460le_alt (tptp.hAPP_l1149277722le_alt (tptp.hAPP_l48758843le_alt tptp.produc214947223le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f615328049l_bool (tptp.hAPP_P641400329l_bool tptp.member828077460le_alt (tptp.hAPP_l1149277722le_alt _let_2 Zs_1)) _let_1)))))))) (forall ((Ys_1 tptp.list_nat) (Pa tptp.fun_nat_bool) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.dropWhile_nat Pa))) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.set_nat Xs_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)))) (= (tptp.hAPP_l248265089st_nat _let_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Xs_1) Ys_1)) (tptp.hAPP_l248265089st_nat _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.dropWh587599712le_alt Pa))) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1) Ys_1)) (tptp.hAPP_l84111627le_alt _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_P662130680le_alt) (Pa tptp.fun_Pr486337689t_bool) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.dropWh1985299526le_alt Pa))) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) (tptp.set_Pr1785012934le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X_1)))) (= (tptp.hAPP_l922056661le_alt _let_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Xs_1) Ys_1)) (tptp.hAPP_l922056661le_alt _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_A270647749e_indi) (Pa tptp.fun_Ar1809396326i_bool) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.dropWh587229715e_indi Pa))) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) (tptp.set_Ar205654163e_indi Xs_1))) (tptp.hBOOL (tptp.hAPP_A997847300i_bool Pa X_1)))) (= (tptp.hAPP_l713773333e_indi _let_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Xs_1) Ys_1)) (tptp.hAPP_l713773333e_indi _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_bool) (Pa tptp.fun_bool_bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.dropWhile_bool Pa))) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_1)))) (= (tptp.hAPP_l1189022293t_bool _let_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs_1) Ys_1)) (tptp.hAPP_l1189022293t_bool _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_f1981087045t_bool) (Pa tptp.fun_fu2098777574l_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.dropWh1823459219t_bool Pa))) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) (tptp.set_fu2135320083t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Pa X_1)))) (= (tptp.hAPP_l1936976149t_bool _let_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Xs_1) Ys_1)) (tptp.hAPP_l1936976149t_bool _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_f733367646t_bool) (Pa tptp.fun_fu638310559l_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.dropWh1706032378t_bool Pa))) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) (tptp.set_fu1957445242t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool Pa X_1)))) (= (tptp.hAPP_l1229506623t_bool _let_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Xs_1) Ys_1)) (tptp.hAPP_l1229506623t_bool _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_f1976315671t_bool) (Pa tptp.fun_fu3835832l_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.dropWh1724617061t_bool Pa))) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) (tptp.set_fu2037886949t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f995490902l_bool Pa X_1)))) (= (tptp.hAPP_l179891349t_bool _let_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Xs_1) Ys_1)) (tptp.hAPP_l179891349t_bool _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_P1419683592le_alt) (Pa tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.dropWh1799418070le_alt Pa))) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) (tptp.set_Pr496668502le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X_1)))) (= (tptp.hAPP_l1424955733le_alt _let_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Xs_1) Ys_1)) (tptp.hAPP_l1424955733le_alt _let_1 Ys_1))))) (forall ((Ys_1 tptp.list_nat) (Pa tptp.fun_nat_bool) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.takeWhile_nat Pa))) (let ((_let_2 (tptp.hAPP_l710375585st_nat tptp.append_nat Xs_1))) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.set_nat Xs_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)))) (= (tptp.hAPP_l248265089st_nat _let_1 (tptp.hAPP_l248265089st_nat _let_2 Ys_1)) (tptp.hAPP_l248265089st_nat _let_2 (tptp.hAPP_l248265089st_nat _let_1 Ys_1))))))) (forall ((Ys_1 tptp.list_A114658244le_alt) (Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.takeWh967109304le_alt Pa))) (let ((_let_2 (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Xs_1))) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (= (tptp.hAPP_l84111627le_alt _let_1 (tptp.hAPP_l84111627le_alt _let_2 Ys_1)) (tptp.hAPP_l84111627le_alt _let_2 (tptp.hAPP_l84111627le_alt _let_1 Ys_1))))))) (forall ((Ys_1 tptp.list_P662130680le_alt) (Pa tptp.fun_Pr486337689t_bool) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.takeWh797115118le_alt Pa))) (let ((_let_2 (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Xs_1))) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) (tptp.set_Pr1785012934le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X_1)))) (= (tptp.hAPP_l922056661le_alt _let_1 (tptp.hAPP_l922056661le_alt _let_2 Ys_1)) (tptp.hAPP_l922056661le_alt _let_2 (tptp.hAPP_l922056661le_alt _let_1 Ys_1))))))) (forall ((Ys_1 tptp.list_A270647749e_indi) (Pa tptp.fun_Ar1809396326i_bool) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.takeWh259024059e_indi Pa))) (let ((_let_2 (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Xs_1))) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) (tptp.set_Ar205654163e_indi Xs_1))) (tptp.hBOOL (tptp.hAPP_A997847300i_bool Pa X_1)))) (= (tptp.hAPP_l713773333e_indi _let_1 (tptp.hAPP_l713773333e_indi _let_2 Ys_1)) (tptp.hAPP_l713773333e_indi _let_2 (tptp.hAPP_l713773333e_indi _let_1 Ys_1))))))) (forall ((Ys_1 tptp.list_bool) (Pa tptp.fun_bool_bool) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.takeWhile_bool Pa))) (let ((_let_2 (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs_1))) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_1)))) (= (tptp.hAPP_l1189022293t_bool _let_1 (tptp.hAPP_l1189022293t_bool _let_2 Ys_1)) (tptp.hAPP_l1189022293t_bool _let_2 (tptp.hAPP_l1189022293t_bool _let_1 Ys_1))))))) (forall ((Ys_1 tptp.list_f1981087045t_bool) (Pa tptp.fun_fu2098777574l_bool) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.takeWh1969918523t_bool Pa))) (let ((_let_2 (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Xs_1))) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) (tptp.set_fu2135320083t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Pa X_1)))) (= (tptp.hAPP_l1936976149t_bool _let_1 (tptp.hAPP_l1936976149t_bool _let_2 Ys_1)) (tptp.hAPP_l1936976149t_bool _let_2 (tptp.hAPP_l1936976149t_bool _let_1 Ys_1))))))) (forall ((Ys_1 tptp.list_f733367646t_bool) (Pa tptp.fun_fu638310559l_bool) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.takeWh2085154898t_bool Pa))) (let ((_let_2 (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Xs_1))) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) (tptp.set_fu1957445242t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool Pa X_1)))) (= (tptp.hAPP_l1229506623t_bool _let_1 (tptp.hAPP_l1229506623t_bool _let_2 Ys_1)) (tptp.hAPP_l1229506623t_bool _let_2 (tptp.hAPP_l1229506623t_bool _let_1 Ys_1))))))) (forall ((Ys_1 tptp.list_f1976315671t_bool) (Pa tptp.fun_fu3835832l_bool) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.takeWh1481438221t_bool Pa))) (let ((_let_2 (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Xs_1))) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) (tptp.set_fu2037886949t_bool Xs_1))) (tptp.hBOOL (tptp.hAPP_f995490902l_bool Pa X_1)))) (= (tptp.hAPP_l179891349t_bool _let_1 (tptp.hAPP_l179891349t_bool _let_2 Ys_1)) (tptp.hAPP_l179891349t_bool _let_2 (tptp.hAPP_l179891349t_bool _let_1 Ys_1))))))) (forall ((Ys_1 tptp.list_P1419683592le_alt) (Pa tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.takeWh1421241214le_alt Pa))) (let ((_let_2 (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Xs_1))) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) (tptp.set_Pr496668502le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X_1)))) (= (tptp.hAPP_l1424955733le_alt _let_1 (tptp.hAPP_l1424955733le_alt _let_2 Ys_1)) (tptp.hAPP_l1424955733le_alt _let_2 (tptp.hAPP_l1424955733le_alt _let_1 Ys_1))))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (=> (exists ((X_1 tptp.arrow_1893660431le_alt)) (and (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (not (forall ((Ys tptp.list_A114658244le_alt) (X_1 tptp.arrow_1893660431le_alt)) (=> (exists ((Zs tptp.list_A114658244le_alt)) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Zs)))) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (exists ((Ys tptp.list_nat) (Zs tptp.list_nat)) (and (= Xs_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Ys) (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Ys)))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (exists ((Ys tptp.list_A114658244le_alt) (Zs tptp.list_A114658244le_alt)) (and (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Ys)))))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (exists ((Ys tptp.list_P662130680le_alt) (Zs tptp.list_P662130680le_alt)) (and (= Xs_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Ys) (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Ys)))))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (= (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (exists ((Ys tptp.list_A270647749e_indi) (Zs tptp.list_A270647749e_indi)) (and (= Xs_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Ys) (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Ys)))))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (exists ((Ys tptp.list_bool) (Zs tptp.list_bool)) (and (= Xs_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Ys) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Ys)))))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (= (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (exists ((Ys tptp.list_f1981087045t_bool) (Zs tptp.list_f1981087045t_bool)) (and (= Xs_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Ys) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Ys)))))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (= (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (exists ((Ys tptp.list_f733367646t_bool) (Zs tptp.list_f733367646t_bool)) (and (= Xs_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Ys) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Ys)))))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (= (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (exists ((Ys tptp.list_f1976315671t_bool) (Zs tptp.list_f1976315671t_bool)) (and (= Xs_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Ys) (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Ys)))))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (exists ((Ys tptp.list_P1419683592le_alt) (Zs tptp.list_P1419683592le_alt)) (and (= Xs_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Ys) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Ys)))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (exists ((Ys tptp.list_nat) (Zs tptp.list_nat)) (and (= Xs_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Ys) (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Zs)))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (exists ((Ys tptp.list_A114658244le_alt) (Zs tptp.list_A114658244le_alt)) (and (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Zs)))))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (exists ((Ys tptp.list_P662130680le_alt) (Zs tptp.list_P662130680le_alt)) (and (= Xs_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Ys) (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Zs)))))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (= (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (exists ((Ys tptp.list_A270647749e_indi) (Zs tptp.list_A270647749e_indi)) (and (= Xs_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Ys) (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Zs)))))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (exists ((Ys tptp.list_bool) (Zs tptp.list_bool)) (and (= Xs_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Ys) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Zs)))))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (= (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (exists ((Ys tptp.list_f1981087045t_bool) (Zs tptp.list_f1981087045t_bool)) (and (= Xs_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Ys) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Zs)))))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (= (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (exists ((Ys tptp.list_f733367646t_bool) (Zs tptp.list_f733367646t_bool)) (and (= Xs_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Ys) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Zs)))))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (= (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (exists ((Ys tptp.list_f1976315671t_bool) (Zs tptp.list_f1976315671t_bool)) (and (= Xs_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Ys) (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Zs)))))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (exists ((Ys tptp.list_P1419683592le_alt) (Zs tptp.list_P1419683592le_alt)) (and (= Xs_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Ys) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Zs)))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (exists ((Ys tptp.list_nat) (Zs tptp.list_nat)) (= Xs_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Ys) (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Zs)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (= (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (exists ((Ys tptp.list_A114658244le_alt) (Zs tptp.list_A114658244le_alt)) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Zs)))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (exists ((Ys tptp.list_P662130680le_alt) (Zs tptp.list_P662130680le_alt)) (= Xs_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Ys) (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Zs)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (= (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (exists ((Ys tptp.list_A270647749e_indi) (Zs tptp.list_A270647749e_indi)) (= Xs_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Ys) (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Zs)))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (exists ((Ys tptp.list_bool) (Zs tptp.list_bool)) (= Xs_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Ys) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Zs)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (= (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (exists ((Ys tptp.list_f1981087045t_bool) (Zs tptp.list_f1981087045t_bool)) (= Xs_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Ys) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Zs)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (= (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (exists ((Ys tptp.list_f733367646t_bool) (Zs tptp.list_f733367646t_bool)) (= Xs_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Ys) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Zs)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (= (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (exists ((Ys tptp.list_f1976315671t_bool) (Zs tptp.list_f1976315671t_bool)) (= Xs_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Ys) (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Zs)))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (exists ((Ys tptp.list_P1419683592le_alt) (Zs tptp.list_P1419683592le_alt)) (= Xs_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Ys) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Zs)))))) (forall ((Q_1 tptp.fun_nat_bool) (Pa tptp.fun_nat_bool) (L_1 tptp.list_nat) (K tptp.list_nat)) (=> (= L_1 K) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.set_nat L_1))) (= (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool Q_1 X_1))))) (= (tptp.hAPP_l248265089st_nat (tptp.dropWhile_nat Pa) L_1) (tptp.hAPP_l248265089st_nat (tptp.dropWhile_nat Q_1) K))))) (forall ((Q_1 tptp.fun_Ar17477381t_bool) (Pa tptp.fun_Ar17477381t_bool) (L_1 tptp.list_A114658244le_alt) (K tptp.list_A114658244le_alt)) (=> (= L_1 K) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt L_1))) (= (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Q_1 X_1))))) (= (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Pa) L_1) (tptp.hAPP_l84111627le_alt (tptp.dropWh587599712le_alt Q_1) K))))) (forall ((Q_1 tptp.fun_Pr486337689t_bool) (Pa tptp.fun_Pr486337689t_bool) (L_1 tptp.list_P662130680le_alt) (K tptp.list_P662130680le_alt)) (=> (= L_1 K) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) (tptp.set_Pr1785012934le_alt L_1))) (= (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Q_1 X_1))))) (= (tptp.hAPP_l922056661le_alt (tptp.dropWh1985299526le_alt Pa) L_1) (tptp.hAPP_l922056661le_alt (tptp.dropWh1985299526le_alt Q_1) K))))) (forall ((Q_1 tptp.fun_Ar1809396326i_bool) (Pa tptp.fun_Ar1809396326i_bool) (L_1 tptp.list_A270647749e_indi) (K tptp.list_A270647749e_indi)) (=> (= L_1 K) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) (tptp.set_Ar205654163e_indi L_1))) (= (tptp.hBOOL (tptp.hAPP_A997847300i_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_A997847300i_bool Q_1 X_1))))) (= (tptp.hAPP_l713773333e_indi (tptp.dropWh587229715e_indi Pa) L_1) (tptp.hAPP_l713773333e_indi (tptp.dropWh587229715e_indi Q_1) K))))) (forall ((Q_1 tptp.fun_bool_bool) (Pa tptp.fun_bool_bool) (L_1 tptp.list_bool) (K tptp.list_bool)) (=> (= L_1 K) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool L_1))) (= (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 X_1))))) (= (tptp.hAPP_l1189022293t_bool (tptp.dropWhile_bool Pa) L_1) (tptp.hAPP_l1189022293t_bool (tptp.dropWhile_bool Q_1) K))))) (forall ((Q_1 tptp.fun_fu2098777574l_bool) (Pa tptp.fun_fu2098777574l_bool) (L_1 tptp.list_f1981087045t_bool) (K tptp.list_f1981087045t_bool)) (=> (= L_1 K) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) (tptp.set_fu2135320083t_bool L_1))) (= (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Q_1 X_1))))) (= (tptp.hAPP_l1936976149t_bool (tptp.dropWh1823459219t_bool Pa) L_1) (tptp.hAPP_l1936976149t_bool (tptp.dropWh1823459219t_bool Q_1) K))))) (forall ((Q_1 tptp.fun_fu638310559l_bool) (Pa tptp.fun_fu638310559l_bool) (L_1 tptp.list_f733367646t_bool) (K tptp.list_f733367646t_bool)) (=> (= L_1 K) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) (tptp.set_fu1957445242t_bool L_1))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool Q_1 X_1))))) (= (tptp.hAPP_l1229506623t_bool (tptp.dropWh1706032378t_bool Pa) L_1) (tptp.hAPP_l1229506623t_bool (tptp.dropWh1706032378t_bool Q_1) K))))) (forall ((Q_1 tptp.fun_fu3835832l_bool) (Pa tptp.fun_fu3835832l_bool) (L_1 tptp.list_f1976315671t_bool) (K tptp.list_f1976315671t_bool)) (=> (= L_1 K) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) (tptp.set_fu2037886949t_bool L_1))) (= (tptp.hBOOL (tptp.hAPP_f995490902l_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_f995490902l_bool Q_1 X_1))))) (= (tptp.hAPP_l179891349t_bool (tptp.dropWh1724617061t_bool Pa) L_1) (tptp.hAPP_l179891349t_bool (tptp.dropWh1724617061t_bool Q_1) K))))) (forall ((Q_1 tptp.fun_Pr2067565481t_bool) (Pa tptp.fun_Pr2067565481t_bool) (L_1 tptp.list_P1419683592le_alt) (K tptp.list_P1419683592le_alt)) (=> (= L_1 K) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) (tptp.set_Pr496668502le_alt L_1))) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Q_1 X_1))))) (= (tptp.hAPP_l1424955733le_alt (tptp.dropWh1799418070le_alt Pa) L_1) (tptp.hAPP_l1424955733le_alt (tptp.dropWh1799418070le_alt Q_1) K))))) (forall ((Q_1 tptp.fun_nat_bool) (Pa tptp.fun_nat_bool) (L_1 tptp.list_nat) (K tptp.list_nat)) (=> (= L_1 K) (=> (forall ((X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.set_nat L_1))) (= (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool Q_1 X_1))))) (= (tptp.hAPP_l248265089st_nat (tptp.takeWhile_nat Pa) L_1) (tptp.hAPP_l248265089st_nat (tptp.takeWhile_nat Q_1) K))))) (forall ((Q_1 tptp.fun_Ar17477381t_bool) (Pa tptp.fun_Ar17477381t_bool) (L_1 tptp.list_A114658244le_alt) (K tptp.list_A114658244le_alt)) (=> (= L_1 K) (=> (forall ((X_1 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt L_1))) (= (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Q_1 X_1))))) (= (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Pa) L_1) (tptp.hAPP_l84111627le_alt (tptp.takeWh967109304le_alt Q_1) K))))) (forall ((Q_1 tptp.fun_Pr486337689t_bool) (Pa tptp.fun_Pr486337689t_bool) (L_1 tptp.list_P662130680le_alt) (K tptp.list_P662130680le_alt)) (=> (= L_1 K) (=> (forall ((X_1 tptp.produc587761367le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_1) (tptp.set_Pr1785012934le_alt L_1))) (= (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool Q_1 X_1))))) (= (tptp.hAPP_l922056661le_alt (tptp.takeWh797115118le_alt Pa) L_1) (tptp.hAPP_l922056661le_alt (tptp.takeWh797115118le_alt Q_1) K))))) (forall ((Q_1 tptp.fun_Ar1809396326i_bool) (Pa tptp.fun_Ar1809396326i_bool) (L_1 tptp.list_A270647749e_indi) (K tptp.list_A270647749e_indi)) (=> (= L_1 K) (=> (forall ((X_1 tptp.arrow_856714788e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_1) (tptp.set_Ar205654163e_indi L_1))) (= (tptp.hBOOL (tptp.hAPP_A997847300i_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_A997847300i_bool Q_1 X_1))))) (= (tptp.hAPP_l713773333e_indi (tptp.takeWh259024059e_indi Pa) L_1) (tptp.hAPP_l713773333e_indi (tptp.takeWh259024059e_indi Q_1) K))))) (forall ((Q_1 tptp.fun_bool_bool) (Pa tptp.fun_bool_bool) (L_1 tptp.list_bool) (K tptp.list_bool)) (=> (= L_1 K) (=> (forall ((X_1 tptp.bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool L_1))) (= (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 X_1))))) (= (tptp.hAPP_l1189022293t_bool (tptp.takeWhile_bool Pa) L_1) (tptp.hAPP_l1189022293t_bool (tptp.takeWhile_bool Q_1) K))))) (forall ((Q_1 tptp.fun_fu2098777574l_bool) (Pa tptp.fun_fu2098777574l_bool) (L_1 tptp.list_f1981087045t_bool) (K tptp.list_f1981087045t_bool)) (=> (= L_1 K) (=> (forall ((X_1 tptp.fun_fu2114379172t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_1) (tptp.set_fu2135320083t_bool L_1))) (= (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool Q_1 X_1))))) (= (tptp.hAPP_l1936976149t_bool (tptp.takeWh1969918523t_bool Pa) L_1) (tptp.hAPP_l1936976149t_bool (tptp.takeWh1969918523t_bool Q_1) K))))) (forall ((Q_1 tptp.fun_fu638310559l_bool) (Pa tptp.fun_fu638310559l_bool) (L_1 tptp.list_f733367646t_bool) (K tptp.list_f733367646t_bool)) (=> (= L_1 K) (=> (forall ((X_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_1) (tptp.set_fu1957445242t_bool L_1))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool Q_1 X_1))))) (= (tptp.hAPP_l1229506623t_bool (tptp.takeWh2085154898t_bool Pa) L_1) (tptp.hAPP_l1229506623t_bool (tptp.takeWh2085154898t_bool Q_1) K))))) (forall ((Q_1 tptp.fun_fu3835832l_bool) (Pa tptp.fun_fu3835832l_bool) (L_1 tptp.list_f1976315671t_bool) (K tptp.list_f1976315671t_bool)) (=> (= L_1 K) (=> (forall ((X_1 tptp.fun_Ar274636406t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_1) (tptp.set_fu2037886949t_bool L_1))) (= (tptp.hBOOL (tptp.hAPP_f995490902l_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_f995490902l_bool Q_1 X_1))))) (= (tptp.hAPP_l179891349t_bool (tptp.takeWh1481438221t_bool Pa) L_1) (tptp.hAPP_l179891349t_bool (tptp.takeWh1481438221t_bool Q_1) K))))) (forall ((Q_1 tptp.fun_Pr2067565481t_bool) (Pa tptp.fun_Pr2067565481t_bool) (L_1 tptp.list_P1419683592le_alt) (K tptp.list_P1419683592le_alt)) (=> (= L_1 K) (=> (forall ((X_1 tptp.produc472769767le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_1) (tptp.set_Pr496668502le_alt L_1))) (= (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Pa X_1)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool Q_1 X_1))))) (= (tptp.hAPP_l1424955733le_alt (tptp.takeWh1421241214le_alt Pa) L_1) (tptp.hAPP_l1424955733le_alt (tptp.takeWh1421241214le_alt Q_1) K))))) (forall ((Pa tptp.fun_li1109619974t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba)) (tptp.transi1124010071le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Aa)) (=> (forall ((Y_9 tptp.list_A114658244le_alt) (Z_4 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Y_9)) (tptp.transi1124010071le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Y_9) Z_4)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Y_9)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Z_4)))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Ba)))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) (tptp.transi1687363644le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Aa)) (=> (forall ((Y_9 tptp.arrow_1893660431le_alt) (Z_4 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Y_9)) (tptp.transi1687363644le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Y_9) Z_4)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Y_9)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Z_4)))))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Ba)))))) (forall ((Pa tptp.fun_li1109619974t_bool) (Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba)) (tptp.transi1124010071le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Ba)) (=> (forall ((Y_9 tptp.list_A114658244le_alt) (Z_4 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Y_9) Z_4)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Z_4) Ba)) (tptp.transi1124010071le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Z_4)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Y_9)))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool Pa Aa)))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) (tptp.transi1687363644le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Ba)) (=> (forall ((Y_9 tptp.arrow_1893660431le_alt) (Z_4 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Y_9) Z_4)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Z_4) Ba)) (tptp.transi1687363644le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Z_4)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Y_9)))))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Aa)))))) (forall ((X_2 tptp.list_A114658244le_alt) (Z_3 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Z_3)) (tptp.transi1124010071le_alt R_2))) (=> (not (= X_2 Z_3)) (not (forall ((Y_9 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt X_2) Y_9)) R_2)) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Y_9) Z_3)) (tptp.transi1124010071le_alt R_2)))))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Z_3 tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Z_3)) (tptp.transi1687363644le_alt R_2))) (=> (not (= X_2 Z_3)) (not (forall ((Y_9 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt X_2) Y_9)) R_2)) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Y_9) Z_3)) (tptp.transi1687363644le_alt R_2)))))))))) (forall ((Aa tptp.list_A114658244le_alt) (Ba tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Ba)) (tptp.transi1124010071le_alt R_2))) (=> (not (= Aa Ba)) (not (forall ((Y_9 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa) Y_9)) (tptp.transi1124010071le_alt R_2))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Y_9) Ba)) R_2))))))))) (forall ((Aa tptp.arrow_1893660431le_alt) (Ba tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Ba)) (tptp.transi1687363644le_alt R_2))) (=> (not (= Aa Ba)) (not (forall ((Y_9 tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa) Y_9)) (tptp.transi1687363644le_alt R_2))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Y_9) Ba)) R_2))))))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (=> (exists ((X_1 tptp.arrow_1893660431le_alt)) (and (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (not (forall ((Ys tptp.list_A114658244le_alt) (X_1 tptp.arrow_1893660431le_alt)) (=> (exists ((Zs tptp.list_A114658244le_alt)) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Zs)))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)) (not (forall ((Xa tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Xa) (tptp.set_Ar1995755744le_alt Ys))) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Xa)))))))))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (=> (exists ((X_1 tptp.arrow_1893660431le_alt)) (and (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (not (forall ((Ys tptp.list_A114658244le_alt) (X_1 tptp.arrow_1893660431le_alt) (Zs tptp.list_A114658244le_alt)) (=> (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Zs))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)) (not (forall ((Xa tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Xa) (tptp.set_Ar1995755744le_alt Zs))) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Xa)))))))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (exists ((Ys tptp.list_nat) (Zs tptp.list_nat)) (and (= Xs_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Ys) (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Ys)))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (exists ((Ys tptp.list_A114658244le_alt) (Zs tptp.list_A114658244le_alt)) (and (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Ys)))))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (exists ((Ys tptp.list_P662130680le_alt) (Zs tptp.list_P662130680le_alt)) (and (= Xs_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Ys) (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Ys)))))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (exists ((Ys tptp.list_A270647749e_indi) (Zs tptp.list_A270647749e_indi)) (and (= Xs_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Ys) (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Ys)))))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (exists ((Ys tptp.list_bool) (Zs tptp.list_bool)) (and (= Xs_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Ys) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Ys)))))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (exists ((Ys tptp.list_f1981087045t_bool) (Zs tptp.list_f1981087045t_bool)) (and (= Xs_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Ys) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Ys)))))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (exists ((Ys tptp.list_f733367646t_bool) (Zs tptp.list_f733367646t_bool)) (and (= Xs_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Ys) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Ys)))))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (exists ((Ys tptp.list_f1976315671t_bool) (Zs tptp.list_f1976315671t_bool)) (and (= Xs_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Ys) (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Ys)))))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (exists ((Ys tptp.list_P1419683592le_alt) (Zs tptp.list_P1419683592le_alt)) (and (= Xs_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Ys) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Ys)))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (exists ((Ys tptp.list_nat) (Zs tptp.list_nat)) (and (= Xs_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Ys) (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Zs)))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (exists ((Ys tptp.list_A114658244le_alt) (Zs tptp.list_A114658244le_alt)) (and (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Zs)))))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (exists ((Ys tptp.list_P662130680le_alt) (Zs tptp.list_P662130680le_alt)) (and (= Xs_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Ys) (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Zs)))))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (exists ((Ys tptp.list_A270647749e_indi) (Zs tptp.list_A270647749e_indi)) (and (= Xs_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Ys) (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Zs)))))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (exists ((Ys tptp.list_bool) (Zs tptp.list_bool)) (and (= Xs_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Ys) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Zs)))))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (exists ((Ys tptp.list_f1981087045t_bool) (Zs tptp.list_f1981087045t_bool)) (and (= Xs_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Ys) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Zs)))))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (exists ((Ys tptp.list_f733367646t_bool) (Zs tptp.list_f733367646t_bool)) (and (= Xs_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Ys) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Zs)))))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (exists ((Ys tptp.list_f1976315671t_bool) (Zs tptp.list_f1976315671t_bool)) (and (= Xs_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Ys) (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Zs)))))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (exists ((Ys tptp.list_P1419683592le_alt) (Zs tptp.list_P1419683592le_alt)) (and (= Xs_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Ys) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Zs))) (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Zs)))))))) (forall ((X_2 tptp.nat) (Xs_1 tptp.list_nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) (tptp.set_nat Xs_1))) (exists ((Ys tptp.list_nat) (Zs tptp.list_nat)) (= Xs_1 (tptp.hAPP_l248265089st_nat (tptp.hAPP_l710375585st_nat tptp.append_nat Ys) (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.cons_nat X_2) Zs)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2) (tptp.set_Ar1995755744le_alt Xs_1))) (exists ((Ys tptp.list_A114658244le_alt) (Zs tptp.list_A114658244le_alt)) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Zs)))))) (forall ((X_2 tptp.produc587761367le_alt) (Xs_1 tptp.list_P662130680le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2) (tptp.set_Pr1785012934le_alt Xs_1))) (exists ((Ys tptp.list_P662130680le_alt) (Zs tptp.list_P662130680le_alt)) (= Xs_1 (tptp.hAPP_l922056661le_alt (tptp.hAPP_l581970330le_alt tptp.append1796561362le_alt Ys) (tptp.hAPP_l922056661le_alt (tptp.hAPP_P1680517091le_alt tptp.cons_P1273708151le_alt X_2) Zs)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (Xs_1 tptp.list_A270647749e_indi)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2) (tptp.set_Ar205654163e_indi Xs_1))) (exists ((Ys tptp.list_A270647749e_indi) (Zs tptp.list_A270647749e_indi)) (= Xs_1 (tptp.hAPP_l713773333e_indi (tptp.hAPP_l963769037e_indi tptp.append139047327e_indi Ys) (tptp.hAPP_l713773333e_indi (tptp.hAPP_A1580343958e_indi tptp.cons_A90150340e_indi X_2) Zs)))))) (forall ((X_2 tptp.bool) (Xs_1 tptp.list_bool)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs_1))) (exists ((Ys tptp.list_bool) (Zs tptp.list_bool)) (= Xs_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Ys) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_2) Zs)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (Xs_1 tptp.list_f1981087045t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2) (tptp.set_fu2135320083t_bool Xs_1))) (exists ((Ys tptp.list_f1981087045t_bool) (Zs tptp.list_f1981087045t_bool)) (= Xs_1 (tptp.hAPP_l1936976149t_bool (tptp.hAPP_l2140505421t_bool tptp.append34563871t_bool Ys) (tptp.hAPP_l1936976149t_bool (tptp.hAPP_f559469846t_bool tptp.cons_f1814775108t_bool X_2) Zs)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (Xs_1 tptp.list_f733367646t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2) (tptp.set_fu1957445242t_bool Xs_1))) (exists ((Ys tptp.list_f733367646t_bool) (Zs tptp.list_f733367646t_bool)) (= Xs_1 (tptp.hAPP_l1229506623t_bool (tptp.hAPP_l1290257408t_bool tptp.append1496262254t_bool Ys) (tptp.hAPP_l1229506623t_bool (tptp.hAPP_f1754148237t_bool tptp.cons_f1988942857t_bool X_2) Zs)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (Xs_1 tptp.list_f1976315671t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2) (tptp.set_fu2037886949t_bool Xs_1))) (exists ((Ys tptp.list_f1976315671t_bool) (Zs tptp.list_f1976315671t_bool)) (= Xs_1 (tptp.hAPP_l179891349t_bool (tptp.hAPP_l352082555t_bool tptp.append20579569t_bool Ys) (tptp.hAPP_l179891349t_bool (tptp.hAPP_f994423108t_bool tptp.cons_f1976067606t_bool X_2) Zs)))))) (forall ((X_2 tptp.produc472769767le_alt) (Xs_1 tptp.list_P1419683592le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2) (tptp.set_Pr496668502le_alt Xs_1))) (exists ((Ys tptp.list_P1419683592le_alt) (Zs tptp.list_P1419683592le_alt)) (= Xs_1 (tptp.hAPP_l1424955733le_alt (tptp.hAPP_l1433766794le_alt tptp.append200898658le_alt Ys) (tptp.hAPP_l1424955733le_alt (tptp.hAPP_P437856723le_alt tptp.cons_P885197959le_alt X_2) Zs)))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (= (exists ((X_1 tptp.arrow_1893660431le_alt)) (and (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (exists ((Ys tptp.list_A114658244le_alt) (X_1 tptp.arrow_1893660431le_alt) (Zs tptp.list_A114658244le_alt)) (and (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Zs))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)) (forall ((Xa tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Xa) (tptp.set_Ar1995755744le_alt Zs))) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Xa))))))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (= (exists ((X_1 tptp.arrow_1893660431le_alt)) (and (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (exists ((Ys tptp.list_A114658244le_alt) (X_1 tptp.arrow_1893660431le_alt)) (and (exists ((Zs tptp.list_A114658244le_alt)) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Zs)))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)) (forall ((Xa tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Xa) (tptp.set_Ar1995755744le_alt Ys))) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Xa))))))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt) (I_1 tptp.nat) (V tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2))) (= (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt (tptp.list_u1480779303le_alt (tptp.hAPP_l84111627le_alt _let_1 Xs_1)) I_1) V) (tptp.hAPP_n2007559481le_alt (tptp.nat_ca146784400le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt V) Xs_1) (tptp.hAPP_f2082356689le_alt (tptp.hAPP_f162101723le_alt tptp.cOMBB_138440792lt_nat _let_1) (tptp.hAPP_A890253665le_alt (tptp.hAPP_f752897057le_alt tptp.cOMBC_100033222le_alt (tptp.list_u1480779303le_alt Xs_1)) V))) I_1)))) (forall ((N_2 tptp.nat) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2) Xs_1))) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.drop_A617527551le_alt N_2) _let_1) (tptp.hAPP_n2007559481le_alt (tptp.nat_ca146784400le_alt _let_1 (tptp.hAPP_l1210406190le_alt (tptp.hAPP_f1096875589le_alt tptp.cOMBC_869637379le_alt tptp.drop_A617527551le_alt) Xs_1)) N_2)))) (forall ((Xa_1 tptp.list_A114658244le_alt) (Xb tptp.list_A114658244le_alt) (Za tptp.list_A114658244le_alt) (Zb tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr31738815t_bool)) (let ((_let_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Za) Zb))) (let ((_let_2 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xa_1) Xb))) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt _let_2) _let_1)) (tptp.transi434738282le_alt R_2))) (=> (not (= _let_2 _let_1)) (not (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6))) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Xa_1) Xb)) _let_1)) R_2)) (not (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt _let_1) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Za) Zb))) (tptp.transi434738282le_alt R_2))))))))))))) (forall ((Xa_1 tptp.arrow_1893660431le_alt) (Xb tptp.arrow_1893660431le_alt) (Za tptp.arrow_1893660431le_alt) (Zb tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr773225055t_bool)) (let ((_let_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Za) Zb))) (let ((_let_2 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Xa_1) Xb))) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt _let_2) _let_1)) (tptp.transi472504058le_alt R_2))) (=> (not (= _let_2 _let_1)) (not (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6))) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Xa_1) Xb)) _let_1)) R_2)) (not (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt _let_1) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Za) Zb))) (tptp.transi472504058le_alt R_2))))))))))))) (forall ((Pa tptp.fun_li495175091t_bool) (Ax tptp.list_A114658244le_alt) (Ay tptp.list_A114658244le_alt) (Bx tptp.list_A114658244le_alt) (By tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr31738815t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ax) Ay)) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Bx) By))) (tptp.transi434738282le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa Bx) By)) (=> (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt) (Aa_1 tptp.list_A114658244le_alt) (Ba_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa_1) Ba_1))) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)) _let_1)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt _let_1) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Bx) By))) (tptp.transi434738282le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa Aa_1) Ba_1)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa A_7) B_6))))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa Ax) Ay)))))) (forall ((Pa tptp.fun_Ar331856045t_bool) (Ax tptp.arrow_1893660431le_alt) (Ay tptp.arrow_1893660431le_alt) (Bx tptp.arrow_1893660431le_alt) (By tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr773225055t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ax) Ay)) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Bx) By))) (tptp.transi472504058le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa Bx) By)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt) (Aa_1 tptp.arrow_1893660431le_alt) (Ba_1 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa_1) Ba_1))) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) _let_1)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt _let_1) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Bx) By))) (tptp.transi472504058le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa Aa_1) Ba_1)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa A_7) B_6))))))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa Ax) Ay)))))) (forall ((Pa tptp.fun_li495175091t_bool) (Ax tptp.list_A114658244le_alt) (Ay tptp.list_A114658244le_alt) (Bx tptp.list_A114658244le_alt) (By tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr31738815t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ax) Ay)) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Bx) By))) (tptp.transi434738282le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa Ax) Ay)) (=> (forall ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt) (Aa_1 tptp.list_A114658244le_alt) (Ba_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6))) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Ax) Ay)) _let_1)) (tptp.transi434738282le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_f1525794055l_bool (tptp.hAPP_P1180049077l_bool tptp.member74519274le_alt (tptp.hAPP_P740096983le_alt (tptp.hAPP_P1765681631le_alt tptp.produc474284787le_alt _let_1) (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt Aa_1) Ba_1))) R_2)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa A_7) B_6)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa Aa_1) Ba_1))))))) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool Pa Bx) By)))))) (forall ((Pa tptp.fun_Ar331856045t_bool) (Ax tptp.arrow_1893660431le_alt) (Ay tptp.arrow_1893660431le_alt) (Bx tptp.arrow_1893660431le_alt) (By tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr773225055t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ax) Ay)) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Bx) By))) (tptp.transi472504058le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa Ax) Ay)) (=> (forall ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt) (Aa_1 tptp.arrow_1893660431le_alt) (Ba_1 tptp.arrow_1893660431le_alt)) (let ((_let_1 (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6))) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Ax) Ay)) _let_1)) (tptp.transi472504058le_alt R_2))) (=> (tptp.hBOOL (tptp.hAPP_f1358512039l_bool (tptp.hAPP_P1862941685l_bool tptp.member916027018le_alt (tptp.hAPP_P1322860167le_alt (tptp.hAPP_P1404837759le_alt tptp.produc1036070419le_alt _let_1) (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt Aa_1) Ba_1))) R_2)) (=> (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa A_7) B_6)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa Aa_1) Ba_1))))))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool Pa Bx) By)))))) (forall ((N_2 tptp.nat) (X_2 tptp.arrow_1893660431le_alt) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_2))) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.take_A2032349095le_alt N_2) (tptp.hAPP_l84111627le_alt _let_1 Xs_1)) (tptp.hAPP_n2007559481le_alt (tptp.nat_ca146784400le_alt tptp.nil_Ar557011903le_alt (tptp.hAPP_f2082356689le_alt (tptp.hAPP_f162101723le_alt tptp.cOMBB_138440792lt_nat _let_1) (tptp.hAPP_l1210406190le_alt (tptp.hAPP_f1096875589le_alt tptp.cOMBC_869637379le_alt tptp.take_A2032349095le_alt) Xs_1))) N_2)))) (forall ((A1 tptp.list_A114658244le_alt) (A2 tptp.list_A114658244le_alt) (R_2 tptp.fun_Pr486337689t_bool)) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A1) A2)) (tptp.transi1124010071le_alt R_2))) (or (exists ((A_7 tptp.list_A114658244le_alt)) (and (= A1 A_7) (= A2 A_7))) (exists ((A_7 tptp.list_A114658244le_alt) (B_6 tptp.list_A114658244le_alt) (C_5 tptp.list_A114658244le_alt)) (and (= A1 A_7) (= A2 C_5) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt A_7) B_6)) (tptp.transi1124010071le_alt R_2))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt (tptp.hAPP_l1580775710le_alt (tptp.hAPP_l660415097le_alt tptp.produc1742925389le_alt B_6) C_5)) R_2))))))) (forall ((A1 tptp.arrow_1893660431le_alt) (A2 tptp.arrow_1893660431le_alt) (R_2 tptp.fun_Pr2067565481t_bool)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A1) A2)) (tptp.transi1687363644le_alt R_2))) (or (exists ((A_7 tptp.arrow_1893660431le_alt)) (and (= A1 A_7) (= A2 A_7))) (exists ((A_7 tptp.arrow_1893660431le_alt) (B_6 tptp.arrow_1893660431le_alt) (C_5 tptp.arrow_1893660431le_alt)) (and (= A1 A_7) (= A2 C_5) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt A_7) B_6)) (tptp.transi1687363644le_alt R_2))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt (tptp.hAPP_A1299015393le_alt (tptp.hAPP_A1146194953le_alt tptp.produc1590937303le_alt B_6) C_5)) R_2))))))) (forall ((R_2 tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2)) (tptp.transi1124010071le_alt (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (=> (exists ((X_1 tptp.arrow_1893660431le_alt)) (and (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (exists ((Ys tptp.list_A114658244le_alt) (X_1 tptp.arrow_1893660431le_alt)) (and (exists ((Zs tptp.list_A114658244le_alt)) (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Zs)))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)) (forall ((Xa tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Xa) (tptp.set_Ar1995755744le_alt Ys))) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Xa))))))))) (forall ((Pa tptp.fun_Ar17477381t_bool) (Xs_1 tptp.list_A114658244le_alt)) (=> (exists ((X_1 tptp.arrow_1893660431le_alt)) (and (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_1) (tptp.set_Ar1995755744le_alt Xs_1))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)))) (exists ((Ys tptp.list_A114658244le_alt) (X_1 tptp.arrow_1893660431le_alt) (Zs tptp.list_A114658244le_alt)) (and (= Xs_1 (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt tptp.append1597383892le_alt Ys) (tptp.hAPP_l84111627le_alt (tptp.hAPP_A436723315le_alt tptp.cons_A1647044463le_alt X_1) Zs))) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa X_1)) (forall ((Xa tptp.arrow_1893660431le_alt)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Xa) (tptp.set_Ar1995755744le_alt Zs))) (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool Pa Xa))))))))) (forall ((X_10 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_10) X_10))) (forall ((Ca tptp.nat) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_nat_bool)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((Ca tptp.arrow_1893660431le_alt) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar17477381t_bool)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt Ca))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 B_1)))))) (forall ((Ca tptp.produc587761367le_alt) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt Ca))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 B_1)))))) (forall ((Ca tptp.arrow_856714788e_indi) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1809396326i_bool)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi Ca))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 B_1)))))) (forall ((Ca tptp.bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bool_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 B_1)))))) (forall ((Ca tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu2098777574l_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 B_1)))))) (forall ((Ca tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu638310559l_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 B_1)))))) (forall ((Ca tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu3835832l_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 B_1)))))) (forall ((Ca tptp.produc472769767le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt Ca))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 B_1)))))) (forall ((R_2 tptp.fun_Pr2067565481t_bool) (S_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool R_2) S_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt R_2)) (tptp.hAPP_f369701637t_bool tptp.listre1191473383le_alt S_2))))) (forall ((R_2 tptp.fun_Pr2067565481t_bool) (S_2 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool R_2) S_2)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt R_2)) (tptp.hAPP_f369701637t_bool tptp.listre1334820888le_alt S_2))))) (forall ((B_1 tptp.fun_Pr1780397033l_bool) (A_6 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool A_6) A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool (tptp.pi_Pro1238944957t_bool A_1 B_1)) (tptp.pi_Pro1238944957t_bool A_6 B_1))))) (forall ((B_1 tptp.fun_Ar1474557608l_bool) (A_6 tptp.fun_Ar1809396326i_bool) (A_1 tptp.fun_Ar1809396326i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool A_6) A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool (tptp.pi_Arr959578316t_bool A_1 B_1)) (tptp.pi_Arr959578316t_bool A_6 B_1))))) (forall ((B_1 tptp.fun_fu1863781882l_bool) (A_6 tptp.fun_fu3835832l_bool) (A_1 tptp.fun_fu3835832l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool A_6) A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool (tptp.pi_fun1746584570t_bool A_1 B_1)) (tptp.pi_fun1746584570t_bool A_6 B_1))))) (forall ((R_1 tptp.fun_nat_bool) (S_1 tptp.fun_nat_bool)) (let ((_let_1 (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat))) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool _let_1 R_1)) (tptp.hAPP_f800510211t_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool R_1) S_1))))) (forall ((R_1 tptp.fun_Ar17477381t_bool) (S_1 tptp.fun_Ar17477381t_bool)) (let ((_let_1 (tptp.hAPP_f1090944335t_bool tptp.cOMBC_1310341090l_bool tptp.member1502664802le_alt))) (= (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool (tptp.hAPP_f1592536333t_bool _let_1 R_1)) (tptp.hAPP_f1592536333t_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool R_1) S_1))))) (forall ((R_1 tptp.fun_Pr486337689t_bool) (S_1 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_f1616253255t_bool tptp.cOMBC_1249985698l_bool tptp.member1401409220le_alt))) (= (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool (tptp.hAPP_f2146417685t_bool _let_1 R_1)) (tptp.hAPP_f2146417685t_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool R_1) S_1))))) (forall ((R_1 tptp.fun_Ar1809396326i_bool) (S_1 tptp.fun_Ar1809396326i_bool)) (let ((_let_1 (tptp.hAPP_f1615874669i_bool tptp.cOMBC_438428898l_bool tptp.member1479139729e_indi))) (= (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool (tptp.hAPP_f1612707285i_bool _let_1 R_1)) (tptp.hAPP_f1612707285i_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool R_1) S_1))))) (forall ((R_1 tptp.fun_bool_bool) (S_1 tptp.fun_bool_bool)) (let ((_let_1 (tptp.hAPP_f1996228283l_bool tptp.cOMBC_1455277858l_bool tptp.member_bool))) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool (tptp.hAPP_f961197973l_bool _let_1 R_1)) (tptp.hAPP_f961197973l_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool R_1) S_1))))) (forall ((R_1 tptp.fun_fu2098777574l_bool) (S_1 tptp.fun_fu2098777574l_bool)) (let ((_let_1 (tptp.hAPP_f1169241965l_bool tptp.cOMBC_1209358050l_bool tptp.member173038353t_bool))) (= (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool (tptp.hAPP_f1181604821l_bool _let_1 R_1)) (tptp.hAPP_f1181604821l_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool R_1) S_1))))) (forall ((R_1 tptp.fun_fu638310559l_bool) (S_1 tptp.fun_fu638310559l_bool)) (let ((_let_1 (tptp.hAPP_f1776355587l_bool tptp.cOMBC_2133093654l_bool tptp.member1069471740t_bool))) (= (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool (tptp.hAPP_f1060563265l_bool _let_1 R_1)) (tptp.hAPP_f1060563265l_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool R_1) S_1))))) (forall ((R_1 tptp.fun_fu3835832l_bool) (S_1 tptp.fun_fu3835832l_bool)) (let ((_let_1 (tptp.hAPP_f1760776521l_bool tptp.cOMBC_514203746l_bool tptp.member933336803t_bool))) (= (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool (tptp.hAPP_f819682389l_bool _let_1 R_1)) (tptp.hAPP_f819682389l_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool R_1) S_1))))) (forall ((R_1 tptp.fun_Pr2067565481t_bool) (S_1 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_f1033183015t_bool tptp.cOMBC_593569186l_bool tptp.member1333168212le_alt))) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool (tptp.hAPP_f1356305429t_bool _let_1 R_1)) (tptp.hAPP_f1356305429t_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool R_1) S_1))))) (forall ((X_9 tptp.nat) (Y_8 tptp.nat)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_9) Y_8))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_8) X_9)))) (forall ((Z_2 tptp.nat) (Y_7 tptp.nat) (X_8 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_7) X_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_7)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X_8)))))) (forall ((Y_6 tptp.nat) (X_7 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_6) X_7)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_7) Y_6)) (= X_7 Y_6)))) (forall ((Z_1 tptp.nat) (X_6 tptp.nat) (Y_5 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_6))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_5)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_5) Z_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_1)))))) (forall ((X_5 tptp.nat) (Y_4 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_5) Y_4)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_4) X_5)) (= X_5 Y_4)))) (forall ((C_4 tptp.nat) (B_5 tptp.nat) (A_5 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_5) A_5)) (=> (= B_5 C_4) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_4) A_5))))) (forall ((C_3 tptp.nat) (A_4 tptp.nat) (B_4 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_4))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_4)) (=> (= B_4 C_3) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_3)))))) (forall ((X_2 tptp.nat) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_nat_bool)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar17477381t_bool)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 B_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 B_1)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1809396326i_bool)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 B_1)))))) (forall ((X_2 tptp.bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bool_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 B_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu2098777574l_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 B_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu638310559l_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 B_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu3835832l_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 B_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_nat_bool) (X_2 tptp.nat) (A_1 tptp.fun_nat_bool)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_Ar17477381t_bool) (X_2 tptp.arrow_1893660431le_alt) (A_1 tptp.fun_Ar17477381t_bool)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_Pr486337689t_bool) (X_2 tptp.produc587761367le_alt) (A_1 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_Ar1809396326i_bool) (X_2 tptp.arrow_856714788e_indi) (A_1 tptp.fun_Ar1809396326i_bool)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_bool_bool) (X_2 tptp.bool) (A_1 tptp.fun_bool_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_fu2098777574l_bool) (X_2 tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu2098777574l_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_fu638310559l_bool) (X_2 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_fu638310559l_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_fu3835832l_bool) (X_2 tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_fu3835832l_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 B_1)))))) (forall ((B_1 tptp.fun_Pr2067565481t_bool) (X_2 tptp.produc472769767le_alt) (A_1 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 A_1)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 B_1)))))) (forall ((C_2 tptp.nat) (A_3 tptp.nat) (B_3 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_2))) (=> (= A_3 B_3) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_3)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)))))) (forall ((C_1 tptp.nat) (A_2 tptp.nat) (B_2 tptp.nat)) (=> (= A_2 B_2) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_2) C_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_2) C_1))))) (forall ((Y_2 tptp.nat) (X_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (= X_2 Y_2)))) (forall ((X_2 tptp.nat) (A_1 tptp.fun_nat_bool) (B_1 tptp.fun_nat_bool)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (A_1 tptp.fun_Ar17477381t_bool) (B_1 tptp.fun_Ar17477381t_bool)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 B_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (A_1 tptp.fun_Pr486337689t_bool) (B_1 tptp.fun_Pr486337689t_bool)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool (tptp.hAPP_f193216531l_bool tptp.ord_le907370723t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 B_1)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (A_1 tptp.fun_Ar1809396326i_bool) (B_1 tptp.fun_Ar1809396326i_bool)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 B_1)))))) (forall ((X_2 tptp.bool) (A_1 tptp.fun_bool_bool) (B_1 tptp.fun_bool_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 B_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (A_1 tptp.fun_fu2098777574l_bool) (B_1 tptp.fun_fu2098777574l_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 B_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (A_1 tptp.fun_fu638310559l_bool) (B_1 tptp.fun_fu638310559l_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 B_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (A_1 tptp.fun_fu3835832l_bool) (B_1 tptp.fun_fu3835832l_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 B_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (A_1 tptp.fun_Pr2067565481t_bool) (B_1 tptp.fun_Pr2067565481t_bool)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 B_1)))))) (forall ((X_4 tptp.nat) (Y_3 tptp.nat)) (=> (= X_4 Y_3) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_4) Y_3)))) (forall ((X_2 tptp.nat) (Y_2 tptp.nat)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2))))) (forall ((X_3 tptp.nat) (Y_1 tptp.nat)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_3) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_3)))) (forall ((N_3 tptp.nat)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.take_A2032349095le_alt N_3) tptp.nil_Ar557011903le_alt) tptp.nil_Ar557011903le_alt)) (forall ((X_2 tptp.nat) (N_2 tptp.nat) (Xs_1 tptp.list_nat)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat (tptp.hAPP_l248265089st_nat (tptp.hAPP_n280362926st_nat tptp.take_nat N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.set_nat Xs_1)))))) (forall ((X_2 tptp.arrow_1893660431le_alt) (N_2 tptp.nat) (Xs_1 tptp.list_A114658244le_alt)) (let ((_let_1 (tptp.hAPP_A1501726285l_bool tptp.member1502664802le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.take_A2032349095le_alt N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f739344229l_bool _let_1 (tptp.set_Ar1995755744le_alt Xs_1)))))) (forall ((X_2 tptp.produc587761367le_alt) (N_2 tptp.nat) (Xs_1 tptp.list_P662130680le_alt)) (let ((_let_1 (tptp.hAPP_P489291369l_bool tptp.member1401409220le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt (tptp.hAPP_l922056661le_alt (tptp.hAPP_n648772104le_alt tptp.take_P961419327le_alt N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f610613473l_bool _let_1 (tptp.set_Pr1785012934le_alt Xs_1)))))) (forall ((X_2 tptp.arrow_856714788e_indi) (N_2 tptp.nat) (Xs_1 tptp.list_A270647749e_indi)) (let ((_let_1 (tptp.hAPP_A1597696899l_bool tptp.member1479139729e_indi X_2))) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi (tptp.hAPP_l713773333e_indi (tptp.hAPP_n914286664e_indi tptp.take_A1953651596e_indi N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f584385070l_bool _let_1 (tptp.set_Ar205654163e_indi Xs_1)))))) (forall ((X_2 tptp.bool) (N_2 tptp.nat) (Xs_1 tptp.list_bool)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_n479129736t_bool tptp.take_bool N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs_1)))))) (forall ((X_2 tptp.fun_fu2114379172t_bool) (N_2 tptp.nat) (Xs_1 tptp.list_f1981087045t_bool)) (let ((_let_1 (tptp.hAPP_f1714503811l_bool tptp.member173038353t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool (tptp.hAPP_l1936976149t_bool (tptp.hAPP_n679397960t_bool tptp.take_f1080892172t_bool N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f975209902l_bool _let_1 (tptp.set_fu2135320083t_bool Xs_1)))))) (forall ((X_2 tptp.fun_Pr2067565481t_bool) (N_2 tptp.nat) (Xs_1 tptp.list_f733367646t_bool)) (let ((_let_1 (tptp.hAPP_f1482930381l_bool tptp.member1069471740t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool (tptp.hAPP_l1229506623t_bool (tptp.hAPP_n435915628t_bool tptp.take_f362945601t_bool N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f182583295l_bool _let_1 (tptp.set_fu1957445242t_bool Xs_1)))))) (forall ((X_2 tptp.fun_Ar274636406t_bool) (N_2 tptp.nat) (Xs_1 tptp.list_f1976315671t_bool)) (let ((_let_1 (tptp.hAPP_f1225332775l_bool tptp.member933336803t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool (tptp.hAPP_l179891349t_bool (tptp.hAPP_n1109524424t_bool tptp.take_f1842263006t_bool N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f73423488l_bool _let_1 (tptp.set_fu2037886949t_bool Xs_1)))))) (forall ((X_2 tptp.produc472769767le_alt) (N_2 tptp.nat) (Xs_1 tptp.list_P1419683592le_alt)) (let ((_let_1 (tptp.hAPP_P38525833l_bool tptp.member1333168212le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt (tptp.hAPP_l1424955733le_alt (tptp.hAPP_n1575317256le_alt tptp.take_P1172918863le_alt N_2) Xs_1)))) (tptp.hBOOL (tptp.hAPP_f52567537l_bool _let_1 (tptp.set_Pr496668502le_alt Xs_1)))))) (forall ((I_3 tptp.nat) (Xs tptp.list_A114658244le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt Xs)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool tptp.distin1654625714le_alt (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt tptp.take_A2032349095le_alt I_3) Xs))))) (forall ((Aa tptp.bool)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) tptp.top_top_bool))) (forall ((Aa tptp.fun_Pr2067565481t_bool)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool Aa) tptp.top_to1138392227t_bool))) (forall ((Aa tptp.fun_fu3835832l_bool)) (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool Aa) tptp.top_to553140914l_bool))) (forall ((Aa tptp.fun_fu638310559l_bool)) (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool Aa) tptp.top_to1312956197l_bool))) (forall ((Aa tptp.fun_fu2098777574l_bool)) (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool Aa) tptp.top_to827110112l_bool))) (forall ((Aa tptp.fun_Ar17477381t_bool)) (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool Aa) tptp.top_to814956427t_bool))) (forall ((Aa tptp.fun_Ar1809396326i_bool)) (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool Aa) tptp.top_to788185952i_bool))) (forall ((Aa tptp.bool)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.top_top_bool) Aa)) (= (tptp.hBOOL Aa) (tptp.hBOOL tptp.top_top_bool)))) (forall ((Aa tptp.fun_Pr2067565481t_bool)) (= (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool tptp.top_to1138392227t_bool) Aa)) (= Aa tptp.top_to1138392227t_bool))) (forall ((Aa tptp.fun_fu3835832l_bool)) (= (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool tptp.top_to553140914l_bool) Aa)) (= Aa tptp.top_to553140914l_bool))) (forall ((Aa tptp.fun_fu638310559l_bool)) (= (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool tptp.top_to1312956197l_bool) Aa)) (= Aa tptp.top_to1312956197l_bool))) (forall ((Aa tptp.fun_fu2098777574l_bool)) (= (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool tptp.top_to827110112l_bool) Aa)) (= Aa tptp.top_to827110112l_bool))) (forall ((Aa tptp.fun_Ar17477381t_bool)) (= (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool tptp.top_to814956427t_bool) Aa)) (= Aa tptp.top_to814956427t_bool))) (forall ((Aa tptp.fun_Ar1809396326i_bool)) (= (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool tptp.top_to788185952i_bool) Aa)) (= Aa tptp.top_to788185952i_bool))) (forall ((Aa tptp.fun_Pr2067565481t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.ord_le1577377523t_bool tptp.top_to1138392227t_bool) Aa)) (= Aa tptp.top_to1138392227t_bool))) (forall ((Aa tptp.fun_fu3835832l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f73423488l_bool (tptp.hAPP_f585353809l_bool tptp.ord_le1099920642l_bool tptp.top_to553140914l_bool) Aa)) (= Aa tptp.top_to553140914l_bool))) (forall ((Aa tptp.fun_fu638310559l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1722316607l_bool tptp.ord_le1545885909l_bool tptp.top_to1312956197l_bool) Aa)) (= Aa tptp.top_to1312956197l_bool))) (forall ((Aa tptp.fun_fu2098777574l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f975209902l_bool (tptp.hAPP_f916323245l_bool tptp.ord_le1121695024l_bool tptp.top_to827110112l_bool) Aa)) (= Aa tptp.top_to827110112l_bool))) (forall ((Aa tptp.fun_Ar17477381t_bool)) (=> (tptp.hBOOL (tptp.hAPP_f739344229l_bool (tptp.hAPP_f1549168575l_bool tptp.ord_le1779845435t_bool tptp.top_to814956427t_bool) Aa)) (= Aa tptp.top_to814956427t_bool))) (forall ((Aa tptp.fun_Ar1809396326i_bool)) (=> (tptp.hBOOL (tptp.hAPP_f584385070l_bool (tptp.hAPP_f731870893l_bool tptp.ord_le1609180592i_bool tptp.top_to788185952i_bool) Aa)) (= Aa tptp.top_to788185952i_bool))) (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) Y)))) (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N))))) (forall ((X_1 tptp.nat)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc X_1)))) (forall ((N tptp.nat)) (not (= N (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((N tptp.nat)) (not (= (tptp.hAPP_nat_nat tptp.suc N) N))) (forall ((Nat_5 tptp.nat) (Nat_4 tptp.nat)) (= (= (tptp.hAPP_nat_nat tptp.suc Nat_5) (tptp.hAPP_nat_nat tptp.suc Nat_4)) (= Nat_5 Nat_4))) (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (tptp.hAPP_nat_nat tptp.suc X) (tptp.hAPP_nat_nat tptp.suc Y)) (= X Y))) (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (not (= M_2 N_2)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_2) M_2))))) (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (= X Y)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y) X))))) (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))) (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M)) (not (= M N)))) (forall ((S tptp.nat) (T tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat S) T)) (not (= S T)))) (forall ((Pa tptp.fun_nat_fun_nat_bool) (M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa N_2) M_2)))) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)) _let_1) (=> (=> (= M_2 N_2) _let_1) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_2) M_2)) _let_1) _let_1))))) (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) N))) (forall ((M tptp.nat) (N tptp.nat)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (= M N) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((K_2 tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 K_2)))))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= M N)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (forall ((M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N))) (= M N))))) (forall ((K_2 tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I_2)) K_2))))) (forall ((M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (=> (not (= _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_1) N)))))) (forall ((M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N)))))) (forall ((N tptp.nat) (M tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc M))) (= M N))))) (forall ((N_2 tptp.nat) (M_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_2))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc M_2))) (= N_2 M_2))))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_2)) (tptp.hAPP_nat_nat tptp.suc N_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N_2))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_2)) (= M_2 N_2))))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_2) (tptp.hAPP_nat_nat tptp.suc M_2))))) (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) N)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N_2)) M_2)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc N_2))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N_2)) (= M_2 _let_1)))))) (forall ((N_2 tptp.nat) (M_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N_2)) (tptp.hAPP_nat_nat tptp.suc M_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) M_2)))) (forall ((M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N)))))) (forall ((M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc N))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N))) (= M _let_1)))))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (= M N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (=> (not (= M N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)) (= M_2 N_2)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2)) (not (= M_2 N_2))))) (forall ((N_2 tptp.nat) (M_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_2) M_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N_2)) M_2)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.hAPP_nat_nat tptp.suc N))))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_2) (tptp.hAPP_nat_nat tptp.suc M_2))) (= N_2 M_2)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (forall ((Pa tptp.fun_nat_bool) (I_1 tptp.nat) (J_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa J_2)) (=> (forall ((I tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc I))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_1)))))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.nat_case_bool tptp.fFalse (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2)) N_2)))) (forall ((I_1 tptp.nat) (J_2 tptp.nat) (F tptp.fun_nat_nat)) (=> (forall ((I tptp.nat) (J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F I)) (tptp.hAPP_nat_nat F J_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F I_1)) (tptp.hAPP_nat_nat F J_2)))))) (forall ((N tptp.nat) (M_3 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) M_3)) (exists ((M_1 tptp.nat)) (= M_3 (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((I_2 tptp.nat) (K_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) K_2)) (=> (not (= K_2 (tptp.hAPP_nat_nat tptp.suc I_2))) (not (forall ((J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (not (= K_2 (tptp.hAPP_nat_nat tptp.suc J_1))))))))) (forall ((I_2 tptp.nat) (K_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I_2)) K_2)) (not (forall ((J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (not (= K_2 (tptp.hAPP_nat_nat tptp.suc J_1)))))))) (forall ((Z tptp.nat) (X tptp.nat) (Y tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z)))))) (forall ((Y tptp.nat) (X tptp.nat) (Z tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z)))))) (forall ((I_2 tptp.nat) (J tptp.nat) (K_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) J)) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) K_2)))) (forall ((M tptp.nat) (N tptp.nat) (K_2 tptp.nat) (L tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_2) L)) (=> (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) L) (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))))) (forall ((K_2 tptp.nat) (L tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_2) L)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) L)))))) (forall ((K_2 tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) K_2))))) (forall ((M tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) J)))))) (forall ((M tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) M)))))) (forall ((K tptp.nat) (M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 M_2)) (tptp.hAPP_nat_nat _let_1 N_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2))))) (forall ((J tptp.nat) (I_2 tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) I_2)) I_2)))) (forall ((I_2 tptp.nat) (J tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) J)) I_2)))) (forall ((Z tptp.nat) (X tptp.nat) (Y tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z)))))) (forall ((Y tptp.nat) (X tptp.nat) (Z tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat Y) Z)))))) (forall ((N tptp.nat) (M tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N)))) (forall ((N tptp.nat) (M tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2)) (exists ((K_1 tptp.nat)) (= N_2 (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_2) K_1))))) (forall ((K tptp.nat) (M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 M_2)) (tptp.hAPP_nat_nat _let_1 N_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2))))) (forall ((M tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) M)))))) (forall ((M tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) J)))))) (forall ((K_2 tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) K_2))))) (forall ((K_2 tptp.nat) (L tptp.nat) (I_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) L)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) L)))))) (forall ((M tptp.nat) (K_2 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N)))) (forall ((M tptp.nat) (K_2 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((M tptp.nat) (K_2 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K_2)) N)) (not (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N))))))) (forall ((M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat _let_1 N))))) (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N)))) (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat M) N)))) (forall ((M_2 tptp.nat) (K tptp.nat) (N_2 tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_2) K) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N_2) K)) (= M_2 N_2))) (forall ((K tptp.nat) (M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat K))) (= (= (tptp.hAPP_nat_nat _let_1 M_2) (tptp.hAPP_nat_nat _let_1 N_2)) (= M_2 N_2)))) (forall ((M tptp.nat) (N tptp.nat) (K_2 tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat M))) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 N)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) K_2))))) (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat X))) (let ((_let_2 (tptp.plus_plus_nat Y))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 Z)) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat _let_1 Z)))))) (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)) (exists ((K_1 tptp.nat)) (= N_2 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_2) K_1)))))) (forall ((I_2 tptp.nat) (M tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) I_2))))) (forall ((I_2 tptp.nat) (M tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) M))))) (forall ((M_2 tptp.nat) (K tptp.nat) (F tptp.fun_nat_nat)) (=> (forall ((M_1 tptp.nat) (N_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F M_1)) (tptp.hAPP_nat_nat F N_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat F M_2)) K)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_2) K)))))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (exists ((K_1 tptp.nat)) (= N (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K_1)))))) (forall ((F tptp.fun_nat_nat)) (=> (forall ((I tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat tptp.suc I))) (tptp.hAPP_nat_nat F I)))) (exists ((I tptp.nat)) (forall ((K_1 tptp.nat)) (= (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.plus_plus_nat I) K_1)) (tptp.hAPP_nat_nat F I)))))) (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))) (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((Pa tptp.fun_nat_bool) (Aa tptp.nat) (Ba tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.minus_minus_nat Aa) Ba))) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (forall ((D tptp.nat)) (=> (= Aa (tptp.hAPP_nat_nat (tptp.plus_plus_nat Ba) D)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa D))))))) (forall ((Pa tptp.fun_nat_bool) (Aa tptp.nat) (Ba tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.minus_minus_nat Aa) Ba))) (not (or (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat)))) (exists ((D tptp.nat)) (and (= Aa (tptp.hAPP_nat_nat (tptp.plus_plus_nat Ba) D)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa D))))))))) (forall ((M tptp.nat) (N tptp.nat)) (=> (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N) M) (= N tptp.zero_zero_nat))) (forall ((M tptp.nat) (I_2 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) I_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) I_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat M) N)) I_2))) (forall ((M tptp.nat) (K_2 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K_2)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) K_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N))) (forall ((K_2 tptp.nat) (M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat K_2))) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)))) (forall ((I_2 tptp.nat) (J tptp.nat) (K_2 tptp.nat)) (let ((_let_1 (tptp.minus_minus_nat I_2))) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 J)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) K_2))))) (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M)) N) M)) (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N)) N) M)) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_2) N_2) tptp.zero_zero_nat) (and (= M_2 tptp.zero_zero_nat) (= N_2 tptp.zero_zero_nat)))) (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M)) tptp.zero_zero_nat)) (forall ((M tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) tptp.zero_zero_nat) M)) (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat N) tptp.zero_zero_nat) tptp.zero_zero_nat)) (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat tptp.zero_zero_nat) N) N)) (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)) (forall ((N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) N))) (forall ((I_2 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) (tptp.hAPP_nat_nat tptp.suc I_2))) N)))) (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))) (forall ((L tptp.nat) (M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.minus_minus_nat L))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 L)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 N)) (tptp.hAPP_nat_nat _let_1 M)))))))) (forall ((N tptp.nat) (J tptp.nat) (K_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat J) N)) K_2)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (not (= N tptp.zero_zero_nat)))) (forall ((M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) M)))))) (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) (forall ((N_2 tptp.nat) (M_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N_2) M_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2)))) (forall ((N_2 tptp.nat)) (= (not (= N_2 tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_2)))) (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))) (forall ((N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) tptp.zero_zero_nat)) (= N_2 tptp.zero_zero_nat))) (forall ((M tptp.nat) (N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) M))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M_2) N_2) tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N) tptp.zero_zero_nat))) (forall ((L tptp.nat) (M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.minus_minus_nat L))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 N)) (tptp.hAPP_nat_nat _let_1 M)))))) (forall ((L tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) L)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) L))))) (forall ((I_2 tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.minus_minus_nat N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) N)) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_1 I_2)) I_2)))) (forall ((N_2 tptp.nat) (K tptp.nat) (M_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_2)) (= (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M_2) K) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N_2) K)) (= M_2 N_2)))))) (forall ((N tptp.nat) (K_2 tptp.nat) (M tptp.nat)) (let ((_let_1 (tptp.minus_minus_nat M))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 K_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) K_2)) (tptp.hAPP_nat_nat _let_1 N))))))) (forall ((N_2 tptp.nat) (K tptp.nat) (M_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_2)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M_2) K)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N_2) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_2))))))) (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M)))) (forall ((Nat_3 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc Nat_3)))) (forall ((M tptp.nat)) (not (= (tptp.hAPP_nat_nat tptp.suc M) tptp.zero_zero_nat))) (forall ((Nat_2 tptp.nat)) (not (= (tptp.hAPP_nat_nat tptp.suc Nat_2) tptp.zero_zero_nat))) (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N))) (forall ((M tptp.nat) (N tptp.nat) (K_2 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hAPP_nat_nat tptp.suc K_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) K_2))) (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M)))) (forall ((M tptp.nat)) (not (= (tptp.hAPP_nat_nat tptp.suc M) tptp.zero_zero_nat))) (forall ((M tptp.nat) (N tptp.nat)) (=> (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N) tptp.zero_zero_nat) (=> (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) M) tptp.zero_zero_nat) (= M N)))) (forall ((I_2 tptp.nat) (J tptp.nat) (K_2 tptp.nat)) (let ((_let_1 (tptp.minus_minus_nat I_2))) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 J)) K_2) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 K_2)) J)))) (forall ((M tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) M) tptp.zero_zero_nat)) (forall ((M tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) tptp.zero_zero_nat) M)) (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.minus_minus_nat M_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc N_2)) (tptp.hAPP_nat_nat (tptp.nat_case_nat tptp.zero_zero_nat tptp.cOMBI_nat) (tptp.hAPP_nat_nat _let_1 N_2))))) (forall ((I_2 tptp.nat) (K_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) I_2)) K_2) (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat J) K_2)) I_2)))) (forall ((I_2 tptp.nat) (K_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat J) K_2)) I_2) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat J) I_2)) K_2)))) (forall ((I_2 tptp.nat) (K_2 tptp.nat) (J tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 J)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.minus_minus_nat J) K_2)))))) (forall ((K tptp.nat) (I_1 tptp.nat) (J_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J_2)) (= (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) I_1) K) (= J_2 (tptp.hAPP_nat_nat (tptp.plus_plus_nat K) I_1))))) (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) N) M))) (forall ((I_1 tptp.nat) (K tptp.nat) (J_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_2)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_1) K)) J_2))))) (forall ((I_2 tptp.nat) (K_2 tptp.nat) (J tptp.nat)) (let ((_let_1 (tptp.plus_plus_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J)) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.minus_minus_nat J) K_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 J)) K_2))))) (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) M))) (forall ((M tptp.nat) (K_2 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) M)) K_2))))) (forall ((J_2 tptp.nat) (K tptp.nat) (I_1 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K)) I_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_2) (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_1) K))))) (forall ((I_2 tptp.nat) (K_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat I_2) (tptp.hAPP_nat_nat (tptp.minus_minus_nat J) K_2)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) K_2)) J)))) (forall ((C tptp.nat) (A tptp.nat) (B tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C) A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat A) C)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat B) C)))))) (forall ((N_2 tptp.nat) (K tptp.nat) (M_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_2)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M_2) K)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat N_2) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_2))))))) (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N))))) (forall ((I_1 tptp.nat) (J_2 tptp.nat) (K tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) (tptp.hAPP_nat_nat (tptp.minus_minus_nat J_2) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_1) K)) J_2)))) (forall ((M tptp.nat) (N tptp.nat)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) M))) (forall ((M tptp.nat) (N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) N)) (tptp.hAPP_nat_nat tptp.suc M)))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_2))) (or (= M_2 tptp.zero_zero_nat) (exists ((J_1 tptp.nat)) (and (= M_2 (tptp.hAPP_nat_nat tptp.suc J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_1) N_2))))))) (forall ((N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_2) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= N_2 tptp.zero_zero_nat))) (forall ((N_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_2)) (exists ((M_1 tptp.nat)) (= N_2 (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_2) N_2)) (or (and (= M_2 _let_1) (= N_2 tptp.zero_zero_nat)) (and (= M_2 tptp.zero_zero_nat) (= N_2 _let_1)))))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_2) N_2) _let_1) (or (and (= M_2 _let_1) (= N_2 tptp.zero_zero_nat)) (and (= M_2 tptp.zero_zero_nat) (= N_2 _let_1)))))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat M_2) N_2))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_2)))))) (forall ((N_2 tptp.nat) (M_2 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_nat_nat tptp.suc N_2)) M_2) (tptp.hAPP_nat_nat (tptp.nat_case_nat tptp.zero_zero_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.suc) (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat N_2))) M_2))) (forall ((M_2 tptp.nat) (N_2 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_2)) (tptp.hAPP_nat_nat (tptp.nat_case_nat tptp.zero_zero_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.suc) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.ord_min_nat) N_2))) M_2))) (forall ((M tptp.nat) (K_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat J) K_2))) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) K_2)) (tptp.hAPP_nat_nat tptp.suc J))))) (forall ((M tptp.nat) (K_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat J) K_2))) M) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc J)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat K_2) M))))) (forall ((N_2 tptp.nat) (Pa tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_2)) (exists ((K_1 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N_2)) (forall ((I tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) K_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa I))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa K_1))))))) (forall ((I_2 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J)) (exists ((K_1 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_1)) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat I_2) K_1) J))))) (forall ((N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((M_1 tptp.nat)) (= N (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((Nat tptp.nat)) (= (tptp.hAPP_nat_nat tptp.nat_size (tptp.hAPP_nat_nat tptp.suc Nat)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.nat_size Nat)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (= (tptp.hAPP_nat_nat tptp.nat_size tptp.zero_zero_nat) tptp.zero_zero_nat) (forall ((I_1 tptp.nat) (Pa tptp.fun_nat_bool) (K tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa K)) (=> (forall ((N_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.minus_minus_nat K) I_1)))))) (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (exists ((M_1 tptp.nat)) (= N (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((N_2 tptp.nat) (Pa tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat)) (=> (forall ((N_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_2))))) (forall ((Y tptp.nat)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat_1 tptp.nat)) (not (= Y (tptp.hAPP_nat_nat tptp.suc Nat_1))))))) (forall ((Pa tptp.fun_nat_bool) (K tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa K)) (=> (forall ((N_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))))) (forall ((Nat tptp.nat)) (= (tptp.hAPP_nat_nat tptp.size_size_nat (tptp.hAPP_nat_nat tptp.suc Nat)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.size_size_nat Nat)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (= (tptp.hAPP_nat_nat tptp.size_size_nat tptp.zero_zero_nat) tptp.zero_zero_nat) (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat tptp.size_size_nat N) N)) (= tptp.one_one_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat N) tptp.one_one_nat))) (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.plus_plus_nat tptp.one_one_nat) N))) (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc N)) tptp.one_one_nat) N)) (forall ((M tptp.nat) (N tptp.nat)) (let ((_let_1 (tptp.minus_minus_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 tptp.one_one_nat)) N)))) (forall ((N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= N (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) tptp.one_one_nat))))) (forall ((N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.minus_minus_nat N) tptp.one_one_nat)) N))) (forall ((N tptp.nat) (M tptp.nat)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.plus_plus_nat M) N))) (let ((_let_2 (= M tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 N)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat M) tptp.one_one_nat)) N)))))))) (forall ((P tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))) (forall ((P tptp.bool)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))) (tptp.hBOOL tptp.fTrue) (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))) (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.fconj P) Q)))) (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.fconj P) Q))) (tptp.hBOOL P))) (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.fconj P) Q))) (tptp.hBOOL Q))) (not (tptp.hBOOL tptp.fFalse)) (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))) (forall ((P tptp.nat)) (= (tptp.hAPP_nat_nat tptp.cOMBI_nat P) P)) (forall ((X tptp.nat) (Y tptp.nat)) (or (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y))) (= X Y))) (forall ((X tptp.nat) (Y tptp.nat)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y)))) (forall ((X tptp.bool) (Y tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fequal_bool X) Y))) (= X Y))) (forall ((X tptp.bool) (Y tptp.bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fequal_bool X) Y)))) (forall ((P tptp.bool) (Q tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_b1013836512t_bool tptp.cOMBK_bool_nat P) Q) P)) (forall ((P tptp.fun_nat_nat) (Q tptp.fun_nat_nat) (R tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat P) Q) R) (tptp.hAPP_nat_nat P (tptp.hAPP_nat_nat Q R)))) (forall ((P tptp.fun_nat_fun_nat_nat) (Q tptp.nat) (R tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat P) Q) R) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat P R) Q))) (forall ((P tptp.fun_nat_fun_nat_bool) (Q tptp.nat) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P R) Q))) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_nat_bool) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f894608603t_bool tptp.cOMBB_bool_bool_nat P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_nat_bool Q R)))) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_bool_bool) (R tptp.bool)) (= (tptp.hAPP_bool_bool (tptp.hAPP_f961197973l_bool (tptp.hAPP_f1172769267l_bool tptp.cOMBB_bool_bool_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_bool_bool Q R)))) (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.bool) (R tptp.bool)) (= (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool (tptp.hAPP_f1897201897l_bool tptp.cOMBC_bool_bool_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool P R) Q))) (forall ((X tptp.arrow_1893660431le_alt) (Y tptp.arrow_1893660431le_alt)) (or (not (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool tptp.fequal1590852494le_alt X) Y))) (= X Y))) (forall ((X tptp.arrow_1893660431le_alt) (Y tptp.arrow_1893660431le_alt)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool tptp.fequal1590852494le_alt X) Y)))) (forall ((X tptp.arrow_856714788e_indi) (Y tptp.arrow_856714788e_indi)) (or (not (tptp.hBOOL (tptp.hAPP_A997847300i_bool (tptp.hAPP_A575544447i_bool tptp.fequal1182599525e_indi X) Y))) (= X Y))) (forall ((X tptp.arrow_856714788e_indi) (Y tptp.arrow_856714788e_indi)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_A997847300i_bool (tptp.hAPP_A575544447i_bool tptp.fequal1182599525e_indi X) Y)))) (forall ((P tptp.bool) (Q tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1748732503t_bool (tptp.hAPP_b916665189t_bool tptp.cOMBK_2077209654le_alt P) Q) P)) (forall ((P tptp.bool) (Q tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A997847300i_bool (tptp.hAPP_b549570054i_bool tptp.cOMBK_561380029e_indi P) Q) P)) (forall ((X tptp.list_A114658244le_alt) (Y tptp.list_A114658244le_alt)) (or (not (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool tptp.fequal928191109le_alt X) Y))) (= X Y))) (forall ((X tptp.list_A114658244le_alt) (Y tptp.list_A114658244le_alt)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_l499746980t_bool (tptp.hAPP_l82091775t_bool tptp.fequal928191109le_alt X) Y)))) (forall ((P tptp.fun_na1436237685l_bool) (Q tptp.fun_nat_bool) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool P R) Q))) (forall ((P tptp.fun_bo492988759l_bool) (Q tptp.fun_bool_bool) (R tptp.bool)) (= (tptp.hAPP_bool_bool (tptp.hAPP_f961197973l_bool (tptp.hAPP_f1996228283l_bool tptp.cOMBC_1455277858l_bool P) Q) R) (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool P R) Q))) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_Ar17477381t_bool) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1748732503t_bool (tptp.hAPP_f1592536333t_bool (tptp.hAPP_f2127477477t_bool tptp.cOMBB_388242475le_alt P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_A1748732503t_bool Q R)))) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_Ar1809396326i_bool) (R tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A997847300i_bool (tptp.hAPP_f1612707285i_bool (tptp.hAPP_f1347397683i_bool tptp.cOMBB_1127256072e_indi P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_A997847300i_bool Q R)))) (forall ((X tptp.produc472769767le_alt) (Y tptp.produc472769767le_alt)) (or (not (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_P393387327t_bool tptp.fequal346320936le_alt X) Y))) (= X Y))) (forall ((X tptp.produc472769767le_alt) (Y tptp.produc472769767le_alt)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_P1178790471t_bool (tptp.hAPP_P393387327t_bool tptp.fequal346320936le_alt X) Y)))) (forall ((P tptp.fun_Ar331856045t_bool) (Q tptp.arrow_1893660431le_alt) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool (tptp.hAPP_f2095778909t_bool tptp.cOMBC_1826973210t_bool P) Q) R) (tptp.hAPP_A1748732503t_bool (tptp.hAPP_A2063800319t_bool P R) Q))) (forall ((P tptp.fun_Ar14145203i_bool) (Q tptp.arrow_856714788e_indi) (R tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A997847300i_bool (tptp.hAPP_A575544447i_bool (tptp.hAPP_f512805993i_bool tptp.cOMBC_1266306896i_bool P) Q) R) (tptp.hAPP_A997847300i_bool (tptp.hAPP_A575544447i_bool P R) Q))) (forall ((P tptp.bool) (Q tptp.produc472769767le_alt)) (= (tptp.hAPP_P1178790471t_bool (tptp.hAPP_b128655177t_bool tptp.cOMBK_198697344le_alt P) Q) P)) (forall ((P tptp.fun_na1003310479le_alt) (Q tptp.arrow_1893660431le_alt) (R tptp.nat)) (= (tptp.hAPP_n2007559481le_alt (tptp.hAPP_A890253665le_alt (tptp.hAPP_f752897057le_alt tptp.cOMBC_100033222le_alt P) Q) R) (tptp.hAPP_A1382181054le_alt (tptp.hAPP_n1622045025le_alt P R) Q))) (forall ((X tptp.fun_Pr2067565481t_bool) (Y tptp.fun_Pr2067565481t_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.fequal1830749992t_bool X) Y))) (= X Y))) (forall ((X tptp.fun_Pr2067565481t_bool) (Y tptp.fun_Pr2067565481t_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool tptp.fequal1830749992t_bool X) Y)))) (forall ((P tptp.fun_Ar569529141l_bool) (Q tptp.fun_Ar17477381t_bool) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1748732503t_bool (tptp.hAPP_f1592536333t_bool (tptp.hAPP_f1090944335t_bool tptp.cOMBC_1310341090l_bool P) Q) R) (tptp.hAPP_f739344229l_bool (tptp.hAPP_A1501726285l_bool P R) Q))) (forall ((X tptp.produc587761367le_alt) (Y tptp.produc587761367le_alt)) (= (tptp.hAPP_P205052337le_alt (tptp.hAPP_P1755135161le_alt (tptp.if_Pro1687484775le_alt tptp.fTrue) X) Y) X)) (forall ((X tptp.produc587761367le_alt) (Y tptp.produc587761367le_alt)) (= (tptp.hAPP_P205052337le_alt (tptp.hAPP_P1755135161le_alt (tptp.if_Pro1687484775le_alt tptp.fFalse) X) Y) Y)) (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_Pr2067565481t_bool) (R tptp.produc472769767le_alt)) (= (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f1356305429t_bool (tptp.hAPP_f1645126899t_bool tptp.cOMBB_325568203le_alt P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P1178790471t_bool Q R)))) (forall ((P tptp.fun_Ar1047186533l_bool) (Q tptp.fun_Ar1809396326i_bool) (R tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A997847300i_bool (tptp.hAPP_f1612707285i_bool (tptp.hAPP_f1615874669i_bool tptp.cOMBC_438428898l_bool P) Q) R) (tptp.hAPP_f584385070l_bool (tptp.hAPP_A1597696899l_bool P R) Q))) (forall ((X tptp.produc587761367le_alt) (Y tptp.produc587761367le_alt)) (or (not (tptp.hBOOL (tptp.hAPP_P1894408759t_bool (tptp.hAPP_P1907587391t_bool tptp.fequal1054218392le_alt X) Y))) (= X Y))) (forall ((X tptp.produc587761367le_alt) (Y tptp.produc587761367le_alt)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_P1894408759t_bool (tptp.hAPP_P1907587391t_bool tptp.fequal1054218392le_alt X) Y)))) (forall ((P tptp.fun_nat_bool) (Q tptp.produc472769767le_alt)) (= (tptp.hAPP_P1123315306t_bool (tptp.hAPP_f795770633t_bool tptp.cOMBK_1524165667le_alt P) Q) P)) (forall ((P tptp.fun_Pr2067565481t_bool) (Q tptp.nat)) (= (tptp.hAPP_n1161265524t_bool (tptp.hAPP_f1409698632t_bool tptp.cOMBK_1882555695ol_nat P) Q) P)) (forall ((P tptp.fun_li90789869le_alt) (Q tptp.fun_na86871399le_alt) (R tptp.nat)) (= (tptp.hAPP_n2007559481le_alt (tptp.hAPP_f2082356689le_alt (tptp.hAPP_f162101723le_alt tptp.cOMBB_138440792lt_nat P) Q) R) (tptp.hAPP_l84111627le_alt P (tptp.hAPP_n2007559481le_alt Q R)))) (forall ((P tptp.fun_na960272160le_alt) (Q tptp.list_A114658244le_alt) (R tptp.nat)) (= (tptp.hAPP_n2007559481le_alt (tptp.hAPP_l1210406190le_alt (tptp.hAPP_f1096875589le_alt tptp.cOMBC_869637379le_alt P) Q) R) (tptp.hAPP_l84111627le_alt (tptp.hAPP_n372949560le_alt P R) Q))) (forall ((P tptp.bool) (Q tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f52567537l_bool (tptp.hAPP_b1272691967l_bool tptp.cOMBK_81143760t_bool P) Q) P)) (forall ((P tptp.fun_bool_bool) (Q tptp.produc472769767le_alt)) (= (tptp.hAPP_P1103642805l_bool (tptp.hAPP_f699791347l_bool tptp.cOMBK_138598520le_alt P) Q) P)) (forall ((P tptp.fun_Pr2067565481t_bool) (Q tptp.bool)) (= (tptp.hAPP_b128655177t_bool (tptp.hAPP_f1723896209t_bool tptp.cOMBK_5056120l_bool P) Q) P)) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_fu638310559l_bool) (R tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f52567537l_bool (tptp.hAPP_f1060563265l_bool (tptp.hAPP_f1594093337l_bool tptp.cOMBB_882486469t_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f52567537l_bool Q R)))) (forall ((P tptp.fun_nat_bool) (Q tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f703394068t_bool (tptp.hAPP_f779832389t_bool tptp.cOMBK_198318445t_bool P) Q) P)) (forall ((P tptp.fun_fu638310559l_bool) (Q tptp.nat)) (= (tptp.hAPP_n1134275860l_bool (tptp.hAPP_f1191475300l_bool tptp.cOMBK_214082799ol_nat P) Q) P)) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f463104139l_bool (tptp.hAPP_f1713038057l_bool tptp.cOMBK_118864600t_bool P) Q) P)) (forall ((P tptp.fun_fu638310559l_bool) (Q tptp.bool)) (= (tptp.hAPP_b1272691967l_bool (tptp.hAPP_f86272063l_bool tptp.cOMBK_650639032l_bool P) Q) P)) (forall ((P tptp.fun_Pr2067565481t_bool) (Q tptp.fun_Ar245737999le_alt) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1748732503t_bool (tptp.hAPP_f1490503959t_bool (tptp.hAPP_f1124798181t_bool tptp.cOMBB_2030766369le_alt P) Q) R) (tptp.hAPP_P1178790471t_bool P (tptp.hAPP_A1299015393le_alt Q R)))) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_Pr486337689t_bool) (R tptp.produc587761367le_alt)) (= (tptp.hAPP_P1894408759t_bool (tptp.hAPP_f2146417685t_bool (tptp.hAPP_f202057843t_bool tptp.cOMBB_1985622715le_alt P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P1894408759t_bool Q R)))) (forall ((P tptp.fun_Ar17477381t_bool) (Q tptp.produc472769767le_alt)) (= (tptp.hAPP_P1328248815t_bool (tptp.hAPP_f1074682185t_bool tptp.cOMBK_385683240le_alt P) Q) P)) (forall ((P tptp.fun_Pr2067565481t_bool) (Q tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1601437999t_bool (tptp.hAPP_f1761571331t_bool tptp.cOMBK_392407988le_alt P) Q) P)) _let_4 (forall ((P tptp.fun_Ar1809396326i_bool) (Q tptp.produc472769767le_alt)) (= (tptp.hAPP_P1859429372i_bool (tptp.hAPP_f359069313i_bool tptp.cOMBK_1987648063le_alt P) Q) P)) (forall ((P tptp.fun_Pr2067565481t_bool) (Q tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A1646126530t_bool (tptp.hAPP_f480276746t_bool tptp.cOMBK_1650320063e_indi P) Q) P)) (forall ((P tptp.fun_li90789869le_alt) (Q tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A436723315le_alt (tptp.hAPP_f688183683le_alt tptp.cOMBK_930998768le_alt P) Q) P)) (forall ((X tptp.fun_Ar274636406t_bool) (Y tptp.fun_Ar274636406t_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f995490902l_bool (tptp.hAPP_f2087119359l_bool tptp.fequal957608631t_bool X) Y))) (= X Y))) (forall ((X tptp.fun_Ar274636406t_bool) (Y tptp.fun_Ar274636406t_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f995490902l_bool (tptp.hAPP_f2087119359l_bool tptp.fequal957608631t_bool X) Y)))) (forall ((P tptp.fun_fu1537843567t_bool) (Q tptp.fun_Ar331856045t_bool) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A2063800319t_bool (tptp.hAPP_f2095778909t_bool (tptp.hAPP_f1336702693t_bool tptp.cOMBB_1074233563le_alt P) Q) R) (tptp.hAPP_f1592536333t_bool P (tptp.hAPP_A2063800319t_bool Q R)))) (forall ((P tptp.fun_Ar339057223l_bool) (Q tptp.fun_Pr2067565481t_bool) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1748732503t_bool (tptp.hAPP_f234621849t_bool (tptp.hAPP_f1689397393t_bool tptp.cOMBC_395465908l_bool P) Q) R) (tptp.hAPP_f52567537l_bool (tptp.hAPP_A442239897l_bool P R) Q))) (forall ((P tptp.fun_li264309018le_alt) (Q tptp.list_A114658244le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt (tptp.hAPP_f204005175le_alt tptp.cOMBC_1833749623le_alt P) Q) R) (tptp.hAPP_l84111627le_alt (tptp.hAPP_l86320102le_alt P R) Q))) (forall ((P tptp.fun_Ar17477381t_bool) (Q tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f234621849t_bool (tptp.hAPP_f1227262031t_bool tptp.cOMBK_837265448t_bool P) Q) P)) (forall ((P tptp.fun_fu638310559l_bool) (Q tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A442239897l_bool (tptp.hAPP_f1301449449l_bool tptp.cOMBK_935799668le_alt P) Q) P)) (forall ((P tptp.bool) (Q tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f995490902l_bool (tptp.hAPP_b1078573912l_bool tptp.cOMBK_445086735t_bool P) Q) P)) (forall ((P tptp.fun_Ar1809396326i_bool) (Q tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f2010315474i_bool (tptp.hAPP_f1128827177i_bool tptp.cOMBK_814147665t_bool P) Q) P)) _let_3 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_fu3835832l_bool) (R tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f995490902l_bool (tptp.hAPP_f819682389l_bool (tptp.hAPP_f1356804275l_bool tptp.cOMBB_1044350042t_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f995490902l_bool Q R)))) (forall ((P tptp.fun_nat_bool) (Q tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f595382009t_bool (tptp.hAPP_f1195142808t_bool tptp.cOMBK_155500978t_bool P) Q) P)) (forall ((P tptp.fun_fu3835832l_bool) (Q tptp.nat)) (= (tptp.hAPP_n2125602947l_bool (tptp.hAPP_f784815496l_bool tptp.cOMBK_238368224ol_nat P) Q) P)) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f1676084198l_bool (tptp.hAPP_f1582869284l_bool tptp.cOMBK_542452487t_bool P) Q) P)) (forall ((P tptp.fun_fu3835832l_bool) (Q tptp.bool)) (= (tptp.hAPP_b1078573912l_bool (tptp.hAPP_f1322579375l_bool tptp.cOMBK_317366791l_bool P) Q) P)) (forall ((P tptp.fun_Ar64685412t_bool) (Q tptp.arrow_1893660431le_alt) (R tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A1646126530t_bool (tptp.hAPP_A425126512t_bool (tptp.hAPP_f1631649925t_bool tptp.cOMBC_1417338747t_bool P) Q) R) (tptp.hAPP_A1601437999t_bool (tptp.hAPP_A1309733808t_bool P R) Q))) (forall ((P tptp.fun_Pr330364403t_bool) (Q tptp.produc472769767le_alt) (R tptp.produc472769767le_alt)) (= (tptp.hAPP_P1178790471t_bool (tptp.hAPP_P393387327t_bool (tptp.hAPP_f1270778601t_bool tptp.cOMBC_1805080534t_bool P) Q) R) (tptp.hAPP_P1178790471t_bool (tptp.hAPP_P393387327t_bool P R) Q))) (forall ((P tptp.fun_li143410744l_bool) (Q tptp.fun_Pr486337689t_bool) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l499746980t_bool (tptp.hAPP_f931065986t_bool (tptp.hAPP_f921473799t_bool tptp.cOMBC_493955701l_bool P) Q) R) (tptp.hAPP_f610613473l_bool (tptp.hAPP_l515395158l_bool P R) Q))) (forall ((P tptp.fun_Ar636018671t_bool) (Q tptp.fun_Pr2067565481t_bool) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A2063800319t_bool (tptp.hAPP_f449303873t_bool (tptp.hAPP_f1081591777t_bool tptp.cOMBC_557453916t_bool P) Q) R) (tptp.hAPP_f234621849t_bool (tptp.hAPP_A656921921t_bool P R) Q))) (forall ((P tptp.fun_Pr1085078251l_bool) (Q tptp.fun_Pr2067565481t_bool) (R tptp.produc472769767le_alt)) (= (tptp.hAPP_P1178790471t_bool (tptp.hAPP_f1356305429t_bool (tptp.hAPP_f1033183015t_bool tptp.cOMBC_593569186l_bool P) Q) R) (tptp.hAPP_f52567537l_bool (tptp.hAPP_P38525833l_bool P R) Q))) (forall ((P tptp.fun_li264309018le_alt) (Q tptp.fun_Ar849108972le_alt) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A436723315le_alt (tptp.hAPP_f218129964le_alt (tptp.hAPP_f757086845le_alt tptp.cOMBB_1076781858le_alt P) Q) R) (tptp.hAPP_l86320102le_alt P (tptp.hAPP_A1382181054le_alt Q R)))) (forall ((P tptp.fun_Ar17477381t_bool) (Q tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f1841273342t_bool (tptp.hAPP_f1027939672t_bool tptp.cOMBK_1334022583t_bool P) Q) P)) (forall ((P tptp.fun_fu3835832l_bool) (Q tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A850178878l_bool (tptp.hAPP_f1173384643l_bool tptp.cOMBK_757054181le_alt P) Q) P)) (forall ((P tptp.fun_Ar1809396326i_bool) (Q tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f391644589i_bool (tptp.hAPP_f2022065970i_bool tptp.cOMBK_818801614t_bool P) Q) P)) (forall ((P tptp.fun_fu3835832l_bool) (Q tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A1411662545l_bool (tptp.hAPP_f1352816552l_bool tptp.cOMBK_1255579598e_indi P) Q) P)) (forall ((P tptp.fun_Pr2067565481t_bool) (Q tptp.produc587761367le_alt)) (= (tptp.hAPP_P1708597583t_bool (tptp.hAPP_f1290118551t_bool tptp.cOMBK_1555225330le_alt P) Q) P)) (forall ((P tptp.fun_Pr486337689t_bool) (Q tptp.produc472769767le_alt)) (= (tptp.hAPP_P588680495t_bool (tptp.hAPP_f480827367t_bool tptp.cOMBK_605104626le_alt P) Q) P)) (forall ((P tptp.fun_li47571840le_alt) (Q tptp.fun_li90789869le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1580775710le_alt (tptp.hAPP_f200431784le_alt (tptp.hAPP_f416142309le_alt tptp.cOMBB_250395785le_alt P) Q) R) (tptp.hAPP_l1580775710le_alt P (tptp.hAPP_l84111627le_alt Q R)))) (forall ((P tptp.fun_fu643206625l_bool) (Q tptp.fun_Pr2067565481t_bool) (R tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool (tptp.hAPP_f599780549l_bool tptp.cOMBC_1554707866l_bool P) Q) R) (tptp.hAPP_f52567537l_bool (tptp.hAPP_f930900275l_bool P R) Q))) (forall ((P tptp.fun_fu372082297t_bool) (Q tptp.fun_Ar2121501495le_alt) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A2063800319t_bool (tptp.hAPP_f783327207t_bool (tptp.hAPP_f404316901t_bool tptp.cOMBB_1598772817le_alt P) Q) R) (tptp.hAPP_f1490503959t_bool P (tptp.hAPP_A1146194953le_alt Q R)))) (forall ((P tptp.fun_Ar290235730t_bool) (Q tptp.arrow_1893660431le_alt) (R tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A1309733808t_bool (tptp.hAPP_A1889513822t_bool (tptp.hAPP_f2102110817t_bool tptp.cOMBC_1486904681t_bool P) Q) R) (tptp.hAPP_A1058422557t_bool (tptp.hAPP_A38124190t_bool P R) Q))) (forall ((P tptp.fun_fu638310559l_bool) (Q tptp.produc587761367le_alt)) (= (tptp.hAPP_P171164537l_bool (tptp.hAPP_f908691129l_bool tptp.cOMBK_1807543090le_alt P) Q) P)) (forall ((P tptp.fun_Pr486337689t_bool) (Q tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f369701637t_bool (tptp.hAPP_f1369154921t_bool tptp.cOMBK_1697579230t_bool P) Q) P)) (forall ((P tptp.fun_Pr1025510259t_bool) (Q tptp.produc587761367le_alt) (R tptp.produc587761367le_alt)) (= (tptp.hAPP_P1894408759t_bool (tptp.hAPP_P1907587391t_bool (tptp.hAPP_f870273001t_bool tptp.cOMBC_2103205814t_bool P) Q) R) (tptp.hAPP_P1894408759t_bool (tptp.hAPP_P1907587391t_bool P R) Q))) (forall ((P tptp.fun_fu864675765l_bool) (Q tptp.fun_fu638310559l_bool) (R tptp.fun_Pr2067565481t_bool)) (= (tptp.hAPP_f52567537l_bool (tptp.hAPP_f1060563265l_bool (tptp.hAPP_f1776355587l_bool tptp.cOMBC_2133093654l_bool P) Q) R) (tptp.hAPP_f182583295l_bool (tptp.hAPP_f1482930381l_bool P R) Q))) (forall ((P tptp.fun_Pr1085078251l_bool) (Q tptp.fun_Ar245737999le_alt) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A442239897l_bool (tptp.hAPP_f1536341593l_bool (tptp.hAPP_f1344055909l_bool tptp.cOMBB_1660064607le_alt P) Q) R) (tptp.hAPP_P38525833l_bool P (tptp.hAPP_A1299015393le_alt Q R)))) (forall ((P tptp.fun_li359495831t_bool) (Q tptp.fun_Pr486337689t_bool) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l82091775t_bool (tptp.hAPP_f1232688951t_bool (tptp.hAPP_f1613523967t_bool tptp.cOMBC_1701707246t_bool P) Q) R) (tptp.hAPP_f931065986t_bool (tptp.hAPP_l706029667t_bool P R) Q))) (forall ((P tptp.fun_Pr2124911691l_bool) (Q tptp.fun_Pr486337689t_bool) (R tptp.produc587761367le_alt)) (= (tptp.hAPP_P1894408759t_bool (tptp.hAPP_f2146417685t_bool (tptp.hAPP_f1616253255t_bool tptp.cOMBC_1249985698l_bool P) Q) R) (tptp.hAPP_f610613473l_bool (tptp.hAPP_P489291369l_bool P R) Q))) (forall ((X tptp.fun_fu2114379172t_bool) (Y tptp.fun_fu2114379172t_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f1572141188l_bool (tptp.hAPP_f1105736319l_bool tptp.fequal1249241829t_bool X) Y))) (= X Y))) (forall ((X tptp.fun_fu2114379172t_bool) (Y tptp.fun_fu2114379172t_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1572141188l_bool (tptp.hAPP_f1105736319l_bool tptp.fequal1249241829t_bool X) Y)))) (forall ((P tptp.bool) (Q tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f1572141188l_bool (tptp.hAPP_b1777246598l_bool tptp.cOMBK_1279003709t_bool P) Q) P)) (forall ((P tptp.fun_fu638310559l_bool) (Q tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f1915815064l_bool (tptp.hAPP_f1104294872l_bool tptp.cOMBK_1701906001t_bool P) Q) P)) (forall ((P tptp.fun_li380014893le_alt) (Q tptp.fun_li90789869le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l660415097le_alt (tptp.hAPP_f1274386949le_alt (tptp.hAPP_f1142066787le_alt tptp.cOMBB_1071360260le_alt P) Q) R) (tptp.hAPP_l660415097le_alt P (tptp.hAPP_l84111627le_alt Q R)))) (forall ((P tptp.fun_Pr1186243091le_alt) (Q tptp.fun_li47571840le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1580775710le_alt (tptp.hAPP_f739355093le_alt (tptp.hAPP_f635935679le_alt tptp.cOMBB_1945714076le_alt P) Q) R) (tptp.hAPP_P205052337le_alt P (tptp.hAPP_l1580775710le_alt Q R)))) (forall ((P tptp.fun_li101108800le_alt) (Q tptp.fun_li47571840le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1580775710le_alt (tptp.hAPP_f739355093le_alt (tptp.hAPP_f579647290le_alt tptp.cOMBS_19686701le_alt P) Q) R) (tptp.hAPP_P205052337le_alt (tptp.hAPP_l859329548le_alt P R) (tptp.hAPP_l1580775710le_alt Q R)))) (forall ((P tptp.fun_fu3835832l_bool) (Q tptp.produc587761367le_alt)) (= (tptp.hAPP_P878768990l_bool (tptp.hAPP_f1465094837l_bool tptp.cOMBK_448375169le_alt P) Q) P)) (forall ((P tptp.fun_Pr486337689t_bool) (Q tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f1745861984t_bool (tptp.hAPP_f2020753944t_bool tptp.cOMBK_342345345t_bool P) Q) P)) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_fu2098777574l_bool) (R tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f1572141188l_bool (tptp.hAPP_f1181604821l_bool (tptp.hAPP_f1662395443l_bool tptp.cOMBB_1112311688t_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1572141188l_bool Q R)))) (forall ((P tptp.fun_nat_bool) (Q tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f1550778407t_bool (tptp.hAPP_f1319616198t_bool tptp.cOMBK_2008571104t_bool P) Q) P)) (forall ((P tptp.fun_fu2098777574l_bool) (Q tptp.nat)) (= (tptp.hAPP_n1555388849l_bool (tptp.hAPP_f1268543752l_bool tptp.cOMBK_1485688882ol_nat P) Q) P)) (forall ((P tptp.fun_bool_bool) (Q tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f414129720l_bool (tptp.hAPP_f1152234870l_bool tptp.cOMBK_1770320693t_bool P) Q) P)) (forall ((P tptp.fun_fu2098777574l_bool) (Q tptp.bool)) (= (tptp.hAPP_b1777246598l_bool (tptp.hAPP_f369767947l_bool tptp.cOMBK_2030738485l_bool P) Q) P)) (forall ((P tptp.fun_fu257364531l_bool) (Q tptp.fun_Ar274636406t_bool) (R tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f995490902l_bool (tptp.hAPP_f2087119359l_bool (tptp.hAPP_f410199913l_bool tptp.cOMBC_353845492l_bool P) Q) R) (tptp.hAPP_f995490902l_bool (tptp.hAPP_f2087119359l_bool P R) Q))) (forall ((P tptp.fun_Pr2124911691l_bool) (Q tptp.fun_li47571840le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l515395158l_bool (tptp.hAPP_f1223082253l_bool (tptp.hAPP_f1589431871l_bool tptp.cOMBB_835145300le_alt P) Q) R) (tptp.hAPP_P489291369l_bool P (tptp.hAPP_l1580775710le_alt Q R)))) (forall ((P tptp.fun_Ar17477381t_bool) (Q tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f2038412844t_bool (tptp.hAPP_f1552202630t_bool tptp.cOMBK_1544325605t_bool P) Q) P)) (forall ((P tptp.fun_fu2098777574l_bool) (Q tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1569148780l_bool (tptp.hAPP_f1933295939l_bool tptp.cOMBK_1583688247le_alt P) Q) P)) (forall ((P tptp.fun_Ar1809396326i_bool) (Q tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f399308031i_bool (tptp.hAPP_f448050564i_bool tptp.cOMBK_443335420t_bool P) Q) P)) (forall ((P tptp.fun_fu2098777574l_bool) (Q tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A2084592127l_bool (tptp.hAPP_f258290692l_bool tptp.cOMBK_1514079484e_indi P) Q) P)) (forall ((P tptp.fun_fu361117961l_bool) (Q tptp.fun_fu3835832l_bool) (R tptp.fun_Ar274636406t_bool)) (= (tptp.hAPP_f995490902l_bool (tptp.hAPP_f819682389l_bool (tptp.hAPP_f1760776521l_bool tptp.cOMBC_514203746l_bool P) Q) R) (tptp.hAPP_f73423488l_bool (tptp.hAPP_f1225332775l_bool P R) Q))) (forall ((P tptp.fun_li967808957le_alt) (Q tptp.fun_li90789869le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l660415097le_alt (tptp.hAPP_f1274386949le_alt (tptp.hAPP_f905689843le_alt tptp.cOMBC_1284478484le_alt P) Q) R) (tptp.hAPP_f200431784le_alt (tptp.hAPP_l1263040137le_alt P R) Q))) (forall ((P tptp.fun_fu1572237755l_bool) (Q tptp.fun_Ar2121501495le_alt) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A1608658241l_bool (tptp.hAPP_f184584489l_bool (tptp.hAPP_f759033445l_bool tptp.cOMBB_1575576719le_alt P) Q) R) (tptp.hAPP_f1536341593l_bool P (tptp.hAPP_A1146194953le_alt Q R)))) (forall ((P tptp.fun_fu1287834969t_bool) (Q tptp.fun_Ar274636406t_bool) (R tptp.arrow_856714788e_indi)) (= (tptp.hAPP_A38124190t_bool (tptp.hAPP_f1751344075t_bool (tptp.hAPP_f908467689t_bool tptp.cOMBB_1876517692e_indi P) Q) R) (tptp.hAPP_f1550387441t_bool P (tptp.hAPP_A1646126530t_bool Q R)))) (forall ((P tptp.fun_fu696673523t_bool) (Q tptp.fun_Ar1995913199l_bool) (R tptp.arrow_1893660431le_alt)) (= (tptp.hAPP_A656921921t_bool (tptp.hAPP_f105674721t_bool (tptp.hAPP_f322072549t_bool tptp.cOMBB_652885079le_alt P) Q) R) (tptp.hAPP_f1689397393t_bool P (tptp.hAPP_A1608658241l_bool Q R)))) (forall ((P tptp.fun_fu2098777574l_bool) (Q tptp.produc587761367le_alt)) (= (tptp.hAPP_P1986703244l_bool (tptp.hAPP_f852696849l_bool tptp.cOMBK_1524832687le_alt P) Q) P)) (forall ((P tptp.fun_Pr486337689t_bool) (Q tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f210821554t_bool (tptp.hAPP_f2065367146t_bool tptp.cOMBK_1118451887t_bool P) Q) P)) (forall ((P tptp.fun_fu244651069le_alt) (Q tptp.fun_li380014893le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l660415097le_alt (tptp.hAPP_f6098781le_alt (tptp.hAPP_f533347863le_alt tptp.cOMBB_1792551872le_alt P) Q) R) (tptp.hAPP_f739355093le_alt P (tptp.hAPP_l660415097le_alt Q R)))) (forall ((P tptp.fun_li1530812010le_alt) (Q tptp.fun_li380014893le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l660415097le_alt (tptp.hAPP_f6098781le_alt (tptp.hAPP_f423920914le_alt tptp.cOMBS_917035857le_alt P) Q) R) (tptp.hAPP_f739355093le_alt (tptp.hAPP_l384915638le_alt P R) (tptp.hAPP_l660415097le_alt Q R)))) (forall ((P tptp.fun_Pr544315117le_alt) (Q tptp.fun_li47571840le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l859329548le_alt (tptp.hAPP_f1737347755le_alt (tptp.hAPP_f1372126793le_alt tptp.cOMBB_730268484le_alt P) Q) R) (tptp.hAPP_P1755135161le_alt P (tptp.hAPP_l1580775710le_alt Q R)))) (forall ((P tptp.fun_fu976291829l_bool) (Q tptp.fun_li380014893le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l776557489l_bool (tptp.hAPP_f561566485l_bool (tptp.hAPP_f1983518615l_bool tptp.cOMBB_1429729016le_alt P) Q) R) (tptp.hAPP_f1223082253l_bool P (tptp.hAPP_l660415097le_alt Q R)))) (forall ((P tptp.fun_fu1919656431t_bool) (Q tptp.fun_li312794341l_bool) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l706029667t_bool (tptp.hAPP_f406989951t_bool (tptp.hAPP_f2107183495t_bool tptp.cOMBB_2102331378le_alt P) Q) R) (tptp.hAPP_f921473799t_bool P (tptp.hAPP_l776557489l_bool Q R)))) (forall ((P tptp.fun_fu994968269le_alt) (Q tptp.fun_li380014893le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1263040137le_alt (tptp.hAPP_f1148079597le_alt (tptp.hAPP_f1250095511le_alt tptp.cOMBB_1247716816le_alt P) Q) R) (tptp.hAPP_f416142309le_alt P (tptp.hAPP_l660415097le_alt Q R)))) (forall ((P tptp.fun_fu1286404697le_alt) (Q tptp.fun_li380014893le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l1985992967le_alt (tptp.hAPP_f1455388473le_alt (tptp.hAPP_f1097645385le_alt tptp.cOMBB_1772667958le_alt P) Q) R) (tptp.hAPP_f1737347755le_alt P (tptp.hAPP_l660415097le_alt Q R)))) (forall ((P tptp.fun_fu1441209011l_bool) (Q tptp.fun_fu2114379172t_bool) (R tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f1572141188l_bool (tptp.hAPP_f1105736319l_bool (tptp.hAPP_f1764760681l_bool tptp.cOMBC_57903184l_bool P) Q) R) (tptp.hAPP_f1572141188l_bool (tptp.hAPP_f1105736319l_bool P R) Q))) (forall ((P tptp.fun_fu1383920485l_bool) (Q tptp.fun_fu2098777574l_bool) (R tptp.fun_fu2114379172t_bool)) (= (tptp.hAPP_f1572141188l_bool (tptp.hAPP_f1181604821l_bool (tptp.hAPP_f1169241965l_bool tptp.cOMBC_1209358050l_bool P) Q) R) (tptp.hAPP_f975209902l_bool (tptp.hAPP_f1714503811l_bool P R) Q))) (forall ((P tptp.fun_fu153784302le_alt) (Q tptp.fun_li2074124649le_alt) (R tptp.list_A114658244le_alt)) (= (tptp.hAPP_l384915638le_alt (tptp.hAPP_f1967789246le_alt (tptp.hAPP_f752890973le_alt tptp.cOMBB_1206549317le_alt P) Q) R) (tptp.hAPP_f579647290le_alt P (tptp.hAPP_l1985992967le_alt Q R)))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.32/2.49 )
% 2.32/2.49 % SZS output end Proof for SCT170_3
% 2.32/2.49 % cvc5---1.0.5 exiting
% 2.32/2.49 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------