TSTP Solution File: SCT170+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SCT170+2 : 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 14:12:19 EDT 2023
% Result : Theorem 5.11s 5.32s
% Output : Proof 5.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.24 % Problem : SCT170+2 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.25 % Command : do_cvc5 %s %d
% 0.25/0.46 % Computer : n009.cluster.edu
% 0.25/0.46 % Model : x86_64 x86_64
% 0.25/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.46 % Memory : 8042.1875MB
% 0.25/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.25/0.46 % CPULimit : 300
% 0.25/0.46 % WCLimit : 300
% 0.25/0.46 % DateTime : Thu Aug 24 16:03:36 EDT 2023
% 0.25/0.46 % CPUTime :
% 0.46/0.72 %----Proving TF0_NAR, FOF, or CNF
% 5.11/5.32 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.akqGZCD9It/cvc5---1.0.5_31965.p...
% 5.11/5.32 ------- get file name : TPTP file name is SCT170+2
% 5.11/5.32 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31965.smt2...
% 5.11/5.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.11/5.32 % SZS status Theorem for SCT170+2
% 5.11/5.32 % SZS output start Proof for SCT170+2
% 5.11/5.32 (
% 5.11/5.32 (let ((_let_1 (not (forall ((I $$unsorted)) (let ((_let_1 (tptp.hAPP_A340536322t_bool tptp.p I))) (let ((_let_2 (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a))) (=> (tptp.is_Arr859726945e_indi I) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_2 tptp.b)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_2 tptp.c)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_207701375_below _let_1) tptp.c) tptp.b))))))))))) (let ((_let_2 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1420103068l_bool P) (= (tptp.hAPP_A659996934l_bool (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi P) Q) P))))) (let ((_let_3 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1849759038le_alt (tptp.hAPP_l1693669363le_alt (tptp.hAPP_f18365135le_alt tptp.cOMBC_1169281096le_alt P) Q) R) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt P R) Q))))) (let ((_let_4 (forall ((As $$unsorted)) (=> (not (= As tptp.nil_Ar1135217151le_alt)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.last_A1066338328le_alt As)) (tptp.set_Ar426477344le_alt As))))))) (let ((_let_5 (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs))) (and (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) (tptp.set_Ar426477344le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs))))))) (let ((_let_6 (forall ((X_8 $$unsorted) (Xs_12 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_8) (= (tptp.hd_Arr1814706386le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_8) Xs_12)) X_8))))) (let ((_let_7 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) tptp.top_to207207712i_bool))))) (let ((_let_8 (forall ((X_16 $$unsorted) (Xs_33 $$unsorted)) (=> (not (= Xs_33 tptp.nil_Ar1135217151le_alt)) (= (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_16) Xs_33)) (tptp.last_A1066338328le_alt Xs_33)))))) (let ((_let_9 (forall ((X_17 $$unsorted) (Xs_34 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_17) (=> (= Xs_34 tptp.nil_Ar1135217151le_alt) (= (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_17) Xs_34)) X_17)))))) (let ((_let_10 (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi tptp.arrow_912654623le_Lin))) (let ((_let_11 (tptp.pi_Arr1801471756t_bool tptp.top_to207207712i_bool _let_10))) (let ((_let_12 (= tptp.arrow_583275979e_Prof _let_11))) (let ((_let_13 (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_1)) (tptp.hAPP_A659996934l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)))))))) (let ((_let_14 (forall ((A_4 $$unsorted) (List_4 $$unsorted)) (not (= tptp.nil_Ar1135217151le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt A_4) List_4)))))) (let ((_let_15 (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_1 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1))) (let ((_let_2 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_1 Y_2)))) (let ((_let_3 (= X_1 Aa))) (let ((_let_4 (= Y_2 Aa))) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_2 (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_207701375_below L_1) Aa) Ba))) (and (not (= X_1 Y_2)) (=> _let_4 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_1 Ba)) L_1))) (=> (not _let_4) (and (=> _let_3 (or (= Y_2 Ba) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Y_2)) L_1)))) (=> (not _let_3) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_2 L_1))))))))))))))))) (let ((_let_16 (tptp.hAPP_f2020174441t_bool tptp.cOMBB_930893948e_indi tptp.arrow_207701375_below))) (let ((_let_17 (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool _let_16 tptp.p)) tptp.c)) tptp.b))) (let ((_let_18 (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool _let_16 _let_17)) tptp.b)) tptp.a))) (let ((_let_19 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt tptp.c) tptp.nil_Ar1135217151le_alt))) (let ((_let_20 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt tptp.b))) (let ((_let_21 (tptp.hAPP_l372964747le_alt _let_20 _let_19))) (let ((_let_22 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt tptp.a))) (let ((_let_23 (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.hAPP_l372964747le_alt _let_22 _let_21))))) (let ((_let_24 (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool tptp.p))) (let ((_let_25 (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_24 tptp.arrow_583275979e_Prof)))) (let ((_let_26 (tptp.is_Arr723427730le_alt tptp.c))) (let ((_let_27 (tptp.is_Arr723427730le_alt tptp.b))) (let ((_let_28 (tptp.is_Arr723427730le_alt tptp.a))) (let ((_let_29 (tptp.product_prod tptp.arrow_1486210539le_alt tptp.arrow_1486210539le_alt))) (let ((_let_30 (tptp.fun _let_29 tptp.bool))) (let ((_let_31 (tptp.fun tptp.arrow_132732488e_indi _let_30))) (let ((_let_32 (tptp.is_fun1420103068l_bool tptp.arrow_912654623le_Lin))) (let ((_let_33 (tptp.last_A1066338328le_alt _let_21))) (let ((_let_34 (tptp.last_A1066338328le_alt _let_19))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 (= tptp.c _let_34))) (let ((_let_37 (tptp.hAPP_l372964747le_alt _let_20 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.nil_Ar1135217151le_alt)))) (let ((_let_38 (= tptp.a (tptp.hd_Arr1814706386le_alt (tptp.hAPP_l372964747le_alt _let_22 _let_37))))) (let ((_let_39 (tptp.set_Ar426477344le_alt _let_21))) (let ((_let_40 (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt tptp.a) _let_39)))) (let ((_let_41 (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt _let_33) _let_39)))) (let ((_let_42 (= tptp.a tptp.c))) (let ((_let_43 (= tptp.nil_Ar1135217151le_alt _let_19))) (let ((_let_44 (or _let_43 _let_35))) (let ((_let_45 (forall ((X_16 $$unsorted) (Xs_33 $$unsorted)) (or (= tptp.nil_Ar1135217151le_alt Xs_33) (= (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_16) Xs_33)) (tptp.last_A1066338328le_alt Xs_33)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_14))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt A_4) List_4)))) (let ((_let_50 (not _let_26))) (let ((_let_51 (or _let_50 _let_36))) (let ((_let_52 (forall ((X_17 $$unsorted)) (or (not (tptp.is_Arr723427730le_alt X_17)) (= X_17 (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_17) tptp.nil_Ar1135217151le_alt))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((not (= (tptp.is_Arr723427730le_alt X_17) false))))) (let ((_let_56 (ASSUME :args (_let_26)))) (let ((_let_57 (not _let_28))) (let ((_let_58 (or _let_57 _let_38))) (let ((_let_59 (forall ((X_8 $$unsorted) (Xs_12 $$unsorted)) (or (not (tptp.is_Arr723427730le_alt X_8)) (= X_8 (tptp.hd_Arr1814706386le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_8) Xs_12))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (ASSUME :args (_let_28)))) (let ((_let_62 (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt _let_21)))) (let ((_let_63 (not _let_40))) (let ((_let_64 (and _let_63 _let_62))) (let ((_let_65 (= _let_23 _let_64))) (let ((_let_66 (_let_5))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 ((tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_65)) :args ((or (not _let_23) _let_64 (not _let_65)))) (ASSUME :args (_let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.a _let_21 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_67 :args (_let_65 false _let_5)) :args (_let_64 false _let_23 false _let_65)))) (let ((_let_70 (not _let_64))) (let ((_let_71 (= tptp.nil_Ar1135217151le_alt _let_21))) (let ((_let_72 (or _let_71 _let_41))) (let ((_let_73 (forall ((As $$unsorted)) (or (= tptp.nil_Ar1135217151le_alt As) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.last_A1066338328le_alt As)) (tptp.set_Ar426477344le_alt As))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((tptp.last_A1066338328le_alt As)))) (let ((_let_77 (tptp.hAPP_A340536322t_bool tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_78 (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a))) (let ((_let_79 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_78 tptp.b)) _let_77)))) (let ((_let_80 (not _let_42))) (let ((_let_81 (and _let_80 _let_79))) (let ((_let_82 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_78 tptp.c)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_207701375_below _let_77) tptp.c) tptp.b))))) (let ((_let_83 (= _let_82 _let_81))) (let ((_let_84 (not _let_81))) (let ((_let_85 (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool _let_77))) (let ((_let_86 (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_85 tptp.arrow_912654623le_Lin)))) (let ((_let_87 (not _let_86))) (let ((_let_88 (= tptp.b tptp.c))) (let ((_let_89 (not _let_27))) (let ((_let_90 (or _let_57 _let_50 _let_50 _let_89 _let_88 _let_87 _let_83))) (let ((_let_91 (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_1 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1))) (let ((_let_2 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_1 Y_2)))) (let ((_let_3 (= X_1 Aa))) (let ((_let_4 (= Y_2 Aa))) (or (not (tptp.is_Arr723427730le_alt X_1)) (not (tptp.is_Arr723427730le_alt Y_2)) (not (tptp.is_Arr723427730le_alt Aa)) (not (tptp.is_Arr723427730le_alt Ba)) (= Aa Ba) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin))) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_2 (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_207701375_below L_1) Aa) Ba))) (and (not (= X_1 Y_2)) (or (not _let_4) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_1 Ba)) L_1))) (or _let_4 (and (or (not _let_3) (= Y_2 Ba) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Y_2)) L_1))) (or _let_3 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_2 L_1))))))))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (tptp.hAPP_l1693669363le_alt (tptp.hAPP_f18365135le_alt tptp.cOMBC_1169281096le_alt tptp.cons_A77766063le_alt) tptp.nil_Ar1135217151le_alt))) (let ((_let_94 (tptp.hAPP_l372964747le_alt _let_20 tptp.nil_Ar1135217151le_alt))) (let ((_let_95 (= _let_94 (tptp.hAPP_A1849759038le_alt _let_93 tptp.b)))) (let ((_let_96 (tptp.last_A1066338328le_alt _let_94))) (let ((_let_97 (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt _let_96) (tptp.set_Ar426477344le_alt _let_94))))) (let ((_let_98 (= _let_19 (tptp.hAPP_A1849759038le_alt _let_93 tptp.c)))) (let ((_let_99 (= 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B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1264457267t_bool (tptp.hAPP_P1689126160t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun701126715l_bool (tptp.hAPP_P2049543454l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun48324065t_bool (tptp.hAPP_P482525630t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun292781289l_bool (tptp.hAPP_P1533476044l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1420103068l_bool (tptp.hAPP_P467353593l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun20916972t_bool (tptp.hAPP_P651748559t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_Pro1004667236le_alt (tptp.hAPP_P802532161le_alt B_1_1 B_2_1))) (tptp.is_fun48324065t_bool tptp.f) (tptp.is_fun1264457267t_bool tptp.p_1) (tptp.is_fun1264457267t_bool tptp.p) _let_28 _let_27 _let_26 _let_25 (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.arrow_885770895le_IIA tptp.f)) (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.arrow_1550141362nimity tptp.f)) (not (= tptp.a tptp.b)) _let_23 (forall ((I $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) (tptp.hAPP_A340536322t_bool tptp.p I))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) (tptp.hAPP_A340536322t_bool tptp.p_1 I))))) (not (forall ((C $$unsorted)) (=> (tptp.is_Arr723427730le_alt C) (not (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt tptp.a) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt tptp.b) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt C) tptp.nil_Ar1135217151le_alt))))))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool _let_18) tptp.arrow_583275979e_Prof)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool _let_16 _let_18)) tptp.a)) tptp.c)) tptp.arrow_583275979e_Prof)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool _let_17) tptp.arrow_583275979e_Prof)) (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_1 $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)))) (let ((_let_2 (= X_1 Z_1))) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt Z_1)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.hAPP_A1014090479t_bool (tptp.arrow_163947511_mkbot L_1) Z_1))) (and (not (= Y_2 Z_1)) (=> _let_2 (not (= X_1 Y_2))) (=> (not _let_2) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 L_1))))))))) (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_1 $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)))) (let ((_let_2 (= Y_2 Z_1))) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt Z_1)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.hAPP_A1014090479t_bool (tptp.arrow_312654597_mktop L_1) Z_1))) (and (not (= X_1 Z_1)) (=> _let_2 (not (= X_1 Y_2))) (=> (not _let_2) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 L_1))))))))) _let_15 (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa X1))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A) B)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X1) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa X1)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B))))))) (forall ((Aa $$unsorted) (Ba $$unsorted) (A_2 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba) (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A_2) B_3)) (and (= Aa A_2) (= Ba B_3)))) (forall ((Aa $$unsorted) (Ba $$unsorted) (A_2 $$unsorted) (B_3 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba) (tptp.is_Arr723427730le_alt A_2) (tptp.is_Arr723427730le_alt B_3)) (= (= (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba) (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_2) B_3)) (and (= Aa A_2) (= Ba B_3))))) (forall ((A_7 $$unsorted) (B_5 $$unsorted) (A_6 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A_7) B_5) (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A_6) B_4)) (not (=> (= A_7 A_6) (not (= B_5 B_4)))))) (forall ((A_7 $$unsorted) (B_5 $$unsorted) (A_6 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_7) (tptp.is_Arr723427730le_alt B_5) (tptp.is_Arr723427730le_alt A_6) (tptp.is_Arr723427730le_alt B_4)) (=> (= (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_7) B_5) (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_6) B_4)) (not (=> (= A_7 A_6) (not (= B_5 B_4))))))) (forall ((R_2 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool (tptp.in_rel264468792le_alt R_2) X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) R_2)))) (forall ((R_2 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool (tptp.in_rel1361124802le_alt R_2) X_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)) R_2)))) (forall ((L_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2)) (=> (not (= X_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_207701375_below L_1) X_1) Y_2)) tptp.arrow_912654623le_Lin)))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool tptp.p_1) tptp.arrow_583275979e_Prof)) (forall ((P_a $$unsorted) (Pa $$unsorted) (A_2 $$unsorted) (B_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_2) (tptp.is_Arr723427730le_alt B_3) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= A_2 B_3)) (=> (not (= Aa B_3)) (=> (not (= Ba A_2)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Pa) tptp.arrow_583275979e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool P_a) tptp.arrow_583275979e_Prof)) (=> (forall ((I $$unsorted)) (=> (tptp.is_Arr859726945e_indi I) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_A340536322t_bool Pa I))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_2) B_3)) (tptp.hAPP_A340536322t_bool P_a I)))))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_f1817389232t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_2) B_3)) (tptp.hAPP_f1817389232t_bool tptp.f P_a))))))))))))) (forall ((P_a $$unsorted) (Pa $$unsorted) (A_2 $$unsorted) (B_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_2) (tptp.is_Arr723427730le_alt B_3) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= A_2 B_3)) (=> (not (= Aa B_3)) (=> (not (= Ba A_2)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Pa) tptp.arrow_583275979e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool P_a) tptp.arrow_583275979e_Prof)) (=> (forall ((I $$unsorted)) (=> (tptp.is_Arr859726945e_indi I) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_A340536322t_bool Pa I))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_2) B_3)) (tptp.hAPP_A340536322t_bool P_a I)))))) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_f1817389232t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_2) B_3)) (tptp.hAPP_f1817389232t_bool tptp.f P_a))))))))))))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool tptp.f) (tptp.pi_fun1555365306t_bool tptp.arrow_583275979e_Prof (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool tptp.arrow_912654623le_Lin)))) (forall ((L_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_f590186314t_bool tptp.cOMBK_776703103e_indi L_1)) tptp.arrow_583275979e_Prof)))) (forall ((X_1 $$unsorted) (L_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool (tptp.arrow_163947511_mkbot L_1) X_1)) tptp.arrow_912654623le_Lin)))) (forall ((X_1 $$unsorted) (L_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool (tptp.arrow_312654597_mktop L_1) X_1)) tptp.arrow_912654623le_Lin)))) (forall ((Aa $$unsorted) (Ba $$unsorted) (L_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) L_1)) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Aa)) L_1)))))) (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_1 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (=> (not (= X_1 Y_2)) (= (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)) L_1))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Y_2) X_1)) L_1))))))) (forall ((A_5 $$unsorted) (B_2 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_5) (tptp.is_Arr723427730le_alt B_2)) (=> (not (= A_5 B_2)) (exists ((C $$unsorted)) (and (tptp.is_Arr723427730le_alt C) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt A_5) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt B_2) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt C) tptp.nil_Ar1135217151le_alt)))))))))) (forall ((Fa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.arrow_885770895le_IIA Fa)) (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) tptp.arrow_583275979e_Prof)) (forall ((Xa $$unsorted)) (=> (tptp.is_fun1264457267t_bool Xa) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Xa) tptp.arrow_583275979e_Prof)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B)))) (=> (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B)) (=> (forall ((I $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B)))) (=> (tptp.is_Arr859726945e_indi I) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.hAPP_A340536322t_bool X_2 I))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.hAPP_A340536322t_bool Xa I))))))) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.hAPP_f1817389232t_bool Fa X_2))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.hAPP_f1817389232t_bool Fa Xa)))))))))))))))) (forall ((Fa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.arrow_1550141362nimity Fa)) (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) tptp.arrow_583275979e_Prof)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B)) (=> (forall ((I $$unsorted)) (=> (tptp.is_Arr859726945e_indi I) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B)) (tptp.hAPP_A340536322t_bool X_2 I))))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B)) (tptp.hAPP_f1817389232t_bool Fa X_2))))))))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (exists ((X_2 $$unsorted)) (and (tptp.is_fun20916972t_bool X_2) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) X_2))))))) (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_1 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1))) (let ((_let_2 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_1 Y_2)))) (let ((_let_3 (= Y_2 Ba))) (let ((_let_4 (= X_1 Ba))) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_2 (tptp.hAPP_A1014090479t_bool (tptp.arrow_1046586475_above L_1 Aa) Ba))) (and (not (= X_1 Y_2)) (=> _let_4 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Y_2)) L_1))) (=> (not _let_4) (and (=> _let_3 (or (= X_1 Aa) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_1 Aa)) L_1)))) (=> (not _let_3) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_2 L_1))))))))))))))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt tptp.nil_Ar1135217151le_alt)) _let_14 (forall ((A_3 $$unsorted) (List_3 $$unsorted)) (not (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt A_3) List_3) tptp.nil_Ar1135217151le_alt))) (exists ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B) (tptp.is_Arr723427730le_alt C) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt A) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt B) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt C) tptp.nil_Ar1135217151le_alt))))))) (exists ((L_2 $$unsorted)) (and (tptp.is_fun20916972t_bool L_2) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_2) tptp.arrow_912654623le_Lin)))) (forall ((Aa $$unsorted) (List_2 $$unsorted) (A_2 $$unsorted) (List_1 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt A_2)) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Aa) List_2) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt A_2) List_1)) (and (= Aa A_2) (= List_2 List_1))))) (forall ((X_23 $$unsorted) (Xs_41 $$unsorted)) (not (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_23) Xs_41) Xs_41))) (forall ((Xs_40 $$unsorted) (X_22 $$unsorted)) (not (= Xs_40 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_22) Xs_40)))) (forall ((L_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2)) (=> (not (= X_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool (tptp.arrow_1046586475_above L_1 X_1) Y_2)) tptp.arrow_912654623le_Lin)))))) (forall ((I_4 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool Fa) (tptp.pi_fun1555365306t_bool tptp.arrow_583275979e_Prof (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool tptp.arrow_912654623le_Lin)))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) tptp.arrow_583275979e_Prof)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B)))) (=> (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B)) (=> (not (= A B)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.hAPP_A340536322t_bool X_2 I_4))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.hAPP_f1817389232t_bool Fa X_2))))))))))) (tptp.hBOOL (tptp.hAPP_A416869060i_bool (tptp.hAPP_f783549695i_bool tptp.arrow_1549387998ctator Fa) I_4))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_1)) (tptp.hAPP_P1122857141l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2129568089l_bool (tptp.hAPP_f884817497l_bool tptp.member442467260le_alt F) (tptp.pi_Arr914263595le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt F X_1)) (tptp.hAPP_A1014090479t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1291635206l_bool (tptp.hAPP_f1234917389l_bool tptp.member219620739le_alt F) (tptp.pi_Arr1064242500le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A503573454le_alt F X_1)) (tptp.hAPP_A340536322t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2031902329l_bool (tptp.hAPP_f772908877l_bool tptp.member1097202038le_alt F) (tptp.pi_Pro1742482359le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_P802532161le_alt F X_1)) (tptp.hAPP_P651748559t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2053170815l_bool (tptp.hAPP_f452450509l_bool tptp.member300433020le_alt F) (tptp.pi_boo1542163389le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_b1482008903le_alt F X_1)) (tptp.hAPP_b763490121t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2140553640l_bool (tptp.hAPP_f1101355639l_bool tptp.member1423816203t_bool F) (tptp.pi_Arr425730554t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A630236912t_bool F X_1)) (tptp.hAPP_A1745457982l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1898839893l_bool (tptp.hAPP_f1836999501l_bool tptp.member104322770t_bool F) (tptp.pi_Arr656802323t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A739031709t_bool F X_1)) (tptp.hAPP_A701636433l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f404365000l_bool (tptp.hAPP_f4855309l_bool tptp.member30324165t_bool F) (tptp.pi_Pro54111110t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_P1689126160t_bool F X_1)) (tptp.hAPP_P2049543454l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f620747982l_bool (tptp.hAPP_f1518101645l_bool tptp.member1024929995t_bool F) (tptp.pi_boo679625100t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_b821377302t_bool F X_1)) (tptp.hAPP_b1461182872l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f640821677l_bool (tptp.hAPP_f1475191373l_bool tptp.member1194332074t_bool F) (tptp.pi_Arr1752452453t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool F X_1)) (tptp.hAPP_A433435097l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1488127117l_bool (tptp.hAPP_f1070625729l_bool tptp.member1770643824t_bool F) (tptp.pi_Pro1560469721t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_P651748559t_bool F X_1)) (tptp.hAPP_P467353593l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f937100551l_bool (tptp.hAPP_f840347317l_bool tptp.member1258284266t_bool F) (tptp.pi_boo1746012499t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_b763490121t_bool F X_1)) (tptp.hAPP_b805997823l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1134444118l_bool (tptp.hAPP_f850619859l_bool tptp.member821152697t_bool F) (tptp.pi_Arr1120237736t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A88621982t_bool F X_1)) (tptp.hAPP_A990651116l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2016919811l_bool (tptp.hAPP_f1063991245l_bool tptp.member689634176t_bool F) (tptp.pi_Arr742795713t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A1433148491t_bool F X_1)) (tptp.hAPP_A955165183l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2139503478l_bool (tptp.hAPP_f115737741l_bool tptp.member1712829811t_bool F) (tptp.pi_Pro519450164t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_P482525630t_bool F X_1)) (tptp.hAPP_P1533476044l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f740740988l_bool (tptp.hAPP_f2134766349l_bool tptp.member930088569t_bool F) (tptp.pi_boo68262458t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_b327863236t_bool F X_1)) (tptp.hAPP_b651754310l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f784749731l_bool (tptp.hAPP_f731818989l_bool tptp.member385159430le_alt F) (tptp.pi_Pro222743023le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_P870295781le_alt F X_1)) (tptp.hAPP_P1116266031t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f817344902l_bool (tptp.hAPP_f1387788301l_bool tptp.member220564739e_indi F) (tptp.pi_Pro58544964e_indi A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_P1645359566e_indi F X_1)) (tptp.hAPP_P957402556i_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f437011961l_bool (tptp.hAPP_f1325762381l_bool tptp.member2074697974le_alt F) (tptp.pi_Pro368504503le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_P1576037953le_alt F X_1)) (tptp.hAPP_P1436281263t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f412569108l_bool (tptp.hAPP_f1136111951l_bool tptp.member1464733303le_alt F) (tptp.pi_fun1083455072le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1287961430le_alt F X_1)) (tptp.hAPP_f3167870t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f882250837l_bool (tptp.hAPP_f1140532045l_bool tptp.member1618799570e_indi F) (tptp.pi_fun268174099e_indi A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f350403485e_indi F X_1)) (tptp.hAPP_f1570138413i_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f505027144l_bool (tptp.hAPP_f1140553229l_bool tptp.member39203141le_alt F) (tptp.pi_fun1110020102le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f597551504le_alt F X_1)) (tptp.hAPP_f1329247136t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1138659662l_bool (tptp.hAPP_f1338606733l_bool tptp.member1402889547l_bool F) (tptp.pi_fun1236347660l_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1378099862l_bool F X_1)) (tptp.hAPP_f591334822l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1518247545l_bool (tptp.hAPP_f599048525l_bool tptp.member2142449782le_alt F) (tptp.pi_fun1197906993le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f459545019le_alt F X_1)) (tptp.hAPP_f1068593625t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi F) (tptp.pi_fun596906370e_indi A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f1283454584e_indi F X_1)) (tptp.hAPP_f431432850i_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f270557859l_bool (tptp.hAPP_f635489773l_bool tptp.member1687274886le_alt F) (tptp.pi_fun404660213le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f1643422699le_alt F X_1)) (tptp.hAPP_f1681297285t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560261801l_bool (tptp.hAPP_f1171266041l_bool tptp.member2021375116l_bool F) (tptp.pi_fun568395771l_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1733357041l_bool F X_1)) (tptp.hAPP_f812095627l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1094272486l_bool (tptp.hAPP_f1880077555l_bool tptp.member567993161le_alt F) (tptp.pi_fun158009906le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1273877800le_alt F X_1)) (tptp.hAPP_f1741989420t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f742658307l_bool (tptp.hAPP_f749156301l_bool tptp.member234310528e_indi F) (tptp.pi_fun1353458625e_indi A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f2043811403e_indi F X_1)) (tptp.hAPP_f783549695i_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1484382710l_bool (tptp.hAPP_f1894818957l_bool tptp.member1953881075le_alt F) (tptp.pi_fun481655732le_alt A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f444731198le_alt F X_1)) (tptp.hAPP_f1114489970t_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f750478076l_bool (tptp.hAPP_f2087408397l_bool tptp.member48503289l_bool F) (tptp.pi_fun187048122l_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f446648900l_bool F X_1)) (tptp.hAPP_f721327224l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A_1 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_1)) (tptp.hAPP_f1895971544l_bool B_1 X_1)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)))))) _let_13 (forall ((Y_5 $$unsorted)) (=> (not (= Y_5 tptp.nil_Ar1135217151le_alt)) (not (forall ((A $$unsorted) (List $$unsorted)) (=> (tptp.is_Arr723427730le_alt A) (not (= Y_5 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt A) List)))))))) (forall ((Xs $$unsorted)) (= (not (= Xs tptp.nil_Ar1135217151le_alt)) (exists ((Y_1 $$unsorted) (Ys $$unsorted)) (and (tptp.is_Arr723427730le_alt Y_1) (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_1) Ys)))))) (forall ((Fa $$unsorted) (I_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A416869060i_bool (tptp.hAPP_f783549695i_bool tptp.arrow_1549387998ctator Fa) I_4)) (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) tptp.arrow_583275979e_Prof)) (= (tptp.hAPP_f1817389232t_bool Fa X_2) (tptp.hAPP_A340536322t_bool X_2 I_4))))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A_1 (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f784749731l_bool (tptp.hAPP_f731818989l_bool tptp.member385159430le_alt F) (tptp.pi_Pro222743023le_alt A_1 (tptp.hAPP_f342341961t_bool tptp.cOMBK_980874600le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_P870295781le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f817344902l_bool (tptp.hAPP_f1387788301l_bool tptp.member220564739e_indi F) (tptp.pi_Pro58544964e_indi A_1 (tptp.hAPP_f3439105i_bool tptp.cOMBK_520250367le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_P1645359566e_indi F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f437011961l_bool (tptp.hAPP_f1325762381l_bool tptp.member2074697974le_alt F) (tptp.pi_Pro368504503le_alt A_1 (tptp.hAPP_f2022891751t_bool tptp.cOMBK_1634281074le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_P1576037953le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f412569108l_bool (tptp.hAPP_f1136111951l_bool tptp.member1464733303le_alt F) (tptp.pi_fun1083455072le_alt A_1 (tptp.hAPP_f1698272152t_bool tptp.cOMBK_242036279t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1287961430le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f882250837l_bool (tptp.hAPP_f1140532045l_bool tptp.member1618799570e_indi F) (tptp.pi_fun268174099e_indi A_1 (tptp.hAPP_f1274922098i_bool tptp.cOMBK_948333518t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f350403485e_indi F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f505027144l_bool (tptp.hAPP_f1140553229l_bool tptp.member39203141le_alt F) (tptp.pi_fun1110020102le_alt A_1 (tptp.hAPP_f303195352t_bool tptp.cOMBK_1264040257t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f597551504le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1138659662l_bool (tptp.hAPP_f1338606733l_bool tptp.member1402889547l_bool F) (tptp.pi_fun1236347660l_bool A_1 (tptp.hAPP_f498119908l_bool tptp.cOMBK_874213703t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1378099862l_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1518247545l_bool (tptp.hAPP_f599048525l_bool tptp.member2142449782le_alt F) (tptp.pi_fun1197906993le_alt A_1 (tptp.hAPP_f391873743t_bool tptp.cOMBK_339579368t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f459545019le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi F) (tptp.pi_fun596906370e_indi A_1 (tptp.hAPP_f1077635369i_bool tptp.cOMBK_1399131793t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f1283454584e_indi F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f270557859l_bool (tptp.hAPP_f635489773l_bool tptp.member1687274886le_alt F) (tptp.pi_fun404660213le_alt A_1 (tptp.hAPP_f684471657t_bool tptp.cOMBK_509674590t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f1643422699le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560261801l_bool (tptp.hAPP_f1171266041l_bool tptp.member2021375116l_bool F) (tptp.pi_fun568395771l_bool A_1 (tptp.hAPP_f2062029545l_bool tptp.cOMBK_753699544t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1733357041l_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1094272486l_bool (tptp.hAPP_f1880077555l_bool tptp.member567993161le_alt F) (tptp.pi_fun158009906le_alt A_1 (tptp.hAPP_f1300833606t_bool tptp.cOMBK_1961253349t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1273877800le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f742658307l_bool (tptp.hAPP_f749156301l_bool tptp.member234310528e_indi F) (tptp.pi_fun1353458625e_indi A_1 (tptp.hAPP_f1377869636i_bool tptp.cOMBK_1847391868t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f2043811403e_indi F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1484382710l_bool (tptp.hAPP_f1894818957l_bool tptp.member1953881075le_alt F) (tptp.pi_fun481655732le_alt A_1 (tptp.hAPP_f1228246954t_bool tptp.cOMBK_906927855t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f444731198le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f750478076l_bool (tptp.hAPP_f2087408397l_bool tptp.member48503289l_bool F) (tptp.pi_fun187048122l_bool A_1 (tptp.hAPP_f1459432374l_bool tptp.cOMBK_1068969205t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f446648900l_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2129568089l_bool (tptp.hAPP_f884817497l_bool tptp.member442467260le_alt F) (tptp.pi_Arr914263595le_alt A_1 (tptp.hAPP_f102394819t_bool tptp.cOMBK_78615028le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1291635206l_bool (tptp.hAPP_f1234917389l_bool tptp.member219620739le_alt F) (tptp.pi_Arr1064242500le_alt A_1 (tptp.hAPP_f590186314t_bool tptp.cOMBK_776703103e_indi B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A503573454le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2031902329l_bool (tptp.hAPP_f772908877l_bool tptp.member1097202038le_alt F) (tptp.pi_Pro1742482359le_alt A_1 (tptp.hAPP_f1737373975t_bool tptp.cOMBK_1925322610le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_P802532161le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2053170815l_bool (tptp.hAPP_f452450509l_bool tptp.member300433020le_alt F) (tptp.pi_boo1542163389le_alt A_1 (tptp.hAPP_f581841297t_bool tptp.cOMBK_1685845624l_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_b1482008903le_alt F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2140553640l_bool (tptp.hAPP_f1101355639l_bool tptp.member1423816203t_bool F) (tptp.pi_Arr425730554t_bool A_1 (tptp.hAPP_f1973254019l_bool tptp.cOMBK_1744976613le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A630236912t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1898839893l_bool (tptp.hAPP_f1836999501l_bool tptp.member104322770t_bool F) (tptp.pi_Arr656802323t_bool A_1 (tptp.hAPP_f1932802664l_bool tptp.cOMBK_1217667022e_indi B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A739031709t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f404365000l_bool (tptp.hAPP_f4855309l_bool tptp.member30324165t_bool F) (tptp.pi_Pro54111110t_bool A_1 (tptp.hAPP_f978113205l_bool tptp.cOMBK_1549622337le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_P1689126160t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f620747982l_bool (tptp.hAPP_f1518101645l_bool tptp.member1024929995t_bool F) (tptp.pi_boo679625100t_bool A_1 (tptp.hAPP_f1768325679l_bool tptp.cOMBK_391161927l_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_b821377302t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f640821677l_bool (tptp.hAPP_f1475191373l_bool tptp.member1194332074t_bool F) (tptp.pi_Arr1752452453t_bool A_1 (tptp.hAPP_f1954218281l_bool tptp.cOMBK_549130676le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1488127117l_bool (tptp.hAPP_f1070625729l_bool tptp.member1770643824t_bool F) (tptp.pi_Pro1560469721t_bool A_1 (tptp.hAPP_f905851705l_bool tptp.cOMBK_740566962le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_P651748559t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f937100551l_bool (tptp.hAPP_f840347317l_bool tptp.member1258284266t_bool F) (tptp.pi_boo1746012499t_bool A_1 (tptp.hAPP_f118515775l_bool tptp.cOMBK_1028572856l_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_b763490121t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1134444118l_bool (tptp.hAPP_f850619859l_bool tptp.member821152697t_bool F) (tptp.pi_Arr1120237736t_bool A_1 (tptp.hAPP_f1136405251l_bool tptp.cOMBK_1435997879le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A88621982t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2016919811l_bool (tptp.hAPP_f1063991245l_bool tptp.member689634176t_bool F) (tptp.pi_Arr742795713t_bool A_1 (tptp.hAPP_f206814660l_bool tptp.cOMBK_472365180e_indi B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A1433148491t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2139503478l_bool (tptp.hAPP_f115737741l_bool tptp.member1712829811t_bool F) (tptp.pi_Pro519450164t_bool A_1 (tptp.hAPP_f1197671953l_bool tptp.cOMBK_165199855le_alt B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_P482525630t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f740740988l_bool (tptp.hAPP_f2134766349l_bool tptp.member930088569t_bool F) (tptp.pi_boo68262458t_bool A_1 (tptp.hAPP_f1756719499l_bool tptp.cOMBK_1377637877l_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_b327863236t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A_1 (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_1)) B_1))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A_1 (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi B_1)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_1)) B_1))))) (forall ((V_1 $$unsorted) (Va $$unsorted)) (let ((_let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt V_1) Va))) (= (tptp.splice1369921490le_alt _let_1 tptp.nil_Ar1135217151le_alt) _let_1))) (forall ((X_21 $$unsorted) (Xs_39 $$unsorted) (Y_4 $$unsorted) (Ys_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_4))) (let ((_let_2 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_21))) (= (tptp.splice1369921490le_alt (tptp.hAPP_l372964747le_alt _let_2 Xs_39) (tptp.hAPP_l372964747le_alt _let_1 Ys_18)) (tptp.hAPP_l372964747le_alt _let_2 (tptp.hAPP_l372964747le_alt _let_1 (tptp.splice1369921490le_alt Xs_39 Ys_18))))))) (forall ((Ys_17 $$unsorted)) (= (tptp.splice1369921490le_alt tptp.nil_Ar1135217151le_alt Ys_17) Ys_17)) (forall ((Xs_38 $$unsorted)) (= (tptp.splice1369921490le_alt Xs_38 tptp.nil_Ar1135217151le_alt) Xs_38)) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_1)) (tptp.hAPP_P1122857141l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f784749731l_bool (tptp.hAPP_f731818989l_bool tptp.member385159430le_alt F) (tptp.pi_Pro222743023le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_P870295781le_alt F X_1)) (tptp.hAPP_P1116266031t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f817344902l_bool (tptp.hAPP_f1387788301l_bool tptp.member220564739e_indi F) (tptp.pi_Pro58544964e_indi A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_P1645359566e_indi F X_1)) (tptp.hAPP_P957402556i_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f437011961l_bool (tptp.hAPP_f1325762381l_bool tptp.member2074697974le_alt F) (tptp.pi_Pro368504503le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_P1576037953le_alt F X_1)) (tptp.hAPP_P1436281263t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f412569108l_bool (tptp.hAPP_f1136111951l_bool tptp.member1464733303le_alt F) (tptp.pi_fun1083455072le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1287961430le_alt F X_1)) (tptp.hAPP_f3167870t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f882250837l_bool (tptp.hAPP_f1140532045l_bool tptp.member1618799570e_indi F) (tptp.pi_fun268174099e_indi A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f350403485e_indi F X_1)) (tptp.hAPP_f1570138413i_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f505027144l_bool (tptp.hAPP_f1140553229l_bool tptp.member39203141le_alt F) (tptp.pi_fun1110020102le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f597551504le_alt F X_1)) (tptp.hAPP_f1329247136t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1138659662l_bool (tptp.hAPP_f1338606733l_bool tptp.member1402889547l_bool F) (tptp.pi_fun1236347660l_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1378099862l_bool F X_1)) (tptp.hAPP_f591334822l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1518247545l_bool (tptp.hAPP_f599048525l_bool tptp.member2142449782le_alt F) (tptp.pi_fun1197906993le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f459545019le_alt F X_1)) (tptp.hAPP_f1068593625t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi F) (tptp.pi_fun596906370e_indi A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f1283454584e_indi F X_1)) (tptp.hAPP_f431432850i_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f270557859l_bool (tptp.hAPP_f635489773l_bool tptp.member1687274886le_alt F) (tptp.pi_fun404660213le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f1643422699le_alt F X_1)) (tptp.hAPP_f1681297285t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560261801l_bool (tptp.hAPP_f1171266041l_bool tptp.member2021375116l_bool F) (tptp.pi_fun568395771l_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1733357041l_bool F X_1)) (tptp.hAPP_f812095627l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1094272486l_bool (tptp.hAPP_f1880077555l_bool tptp.member567993161le_alt F) (tptp.pi_fun158009906le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1273877800le_alt F X_1)) (tptp.hAPP_f1741989420t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f742658307l_bool (tptp.hAPP_f749156301l_bool tptp.member234310528e_indi F) (tptp.pi_fun1353458625e_indi A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f2043811403e_indi F X_1)) (tptp.hAPP_f783549695i_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1484382710l_bool (tptp.hAPP_f1894818957l_bool tptp.member1953881075le_alt F) (tptp.pi_fun481655732le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f444731198le_alt F X_1)) (tptp.hAPP_f1114489970t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f750478076l_bool (tptp.hAPP_f2087408397l_bool tptp.member48503289l_bool F) (tptp.pi_fun187048122l_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f446648900l_bool F X_1)) (tptp.hAPP_f721327224l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2129568089l_bool (tptp.hAPP_f884817497l_bool tptp.member442467260le_alt F) (tptp.pi_Arr914263595le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt F X_1)) (tptp.hAPP_A1014090479t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1291635206l_bool (tptp.hAPP_f1234917389l_bool tptp.member219620739le_alt F) (tptp.pi_Arr1064242500le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A503573454le_alt F X_1)) (tptp.hAPP_A340536322t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2031902329l_bool (tptp.hAPP_f772908877l_bool tptp.member1097202038le_alt F) (tptp.pi_Pro1742482359le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_P802532161le_alt F X_1)) (tptp.hAPP_P651748559t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2053170815l_bool (tptp.hAPP_f452450509l_bool tptp.member300433020le_alt F) (tptp.pi_boo1542163389le_alt A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_b1482008903le_alt F X_1)) (tptp.hAPP_b763490121t_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2140553640l_bool (tptp.hAPP_f1101355639l_bool tptp.member1423816203t_bool F) (tptp.pi_Arr425730554t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A630236912t_bool F X_1)) (tptp.hAPP_A1745457982l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1898839893l_bool (tptp.hAPP_f1836999501l_bool tptp.member104322770t_bool F) (tptp.pi_Arr656802323t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A739031709t_bool F X_1)) (tptp.hAPP_A701636433l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f404365000l_bool (tptp.hAPP_f4855309l_bool tptp.member30324165t_bool F) (tptp.pi_Pro54111110t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_P1689126160t_bool F X_1)) (tptp.hAPP_P2049543454l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f620747982l_bool (tptp.hAPP_f1518101645l_bool tptp.member1024929995t_bool F) (tptp.pi_boo679625100t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_b821377302t_bool F X_1)) (tptp.hAPP_b1461182872l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f640821677l_bool (tptp.hAPP_f1475191373l_bool tptp.member1194332074t_bool F) (tptp.pi_Arr1752452453t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool F X_1)) (tptp.hAPP_A433435097l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1488127117l_bool (tptp.hAPP_f1070625729l_bool tptp.member1770643824t_bool F) (tptp.pi_Pro1560469721t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_P651748559t_bool F X_1)) (tptp.hAPP_P467353593l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f937100551l_bool (tptp.hAPP_f840347317l_bool tptp.member1258284266t_bool F) (tptp.pi_boo1746012499t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_b763490121t_bool F X_1)) (tptp.hAPP_b805997823l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1134444118l_bool (tptp.hAPP_f850619859l_bool tptp.member821152697t_bool F) (tptp.pi_Arr1120237736t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A88621982t_bool F X_1)) (tptp.hAPP_A990651116l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2016919811l_bool (tptp.hAPP_f1063991245l_bool tptp.member689634176t_bool F) (tptp.pi_Arr742795713t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A1433148491t_bool F X_1)) (tptp.hAPP_A955165183l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2139503478l_bool (tptp.hAPP_f115737741l_bool tptp.member1712829811t_bool F) (tptp.pi_Pro519450164t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_P482525630t_bool F X_1)) (tptp.hAPP_P1533476044l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f740740988l_bool (tptp.hAPP_f2134766349l_bool tptp.member930088569t_bool F) (tptp.pi_boo68262458t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_b327863236t_bool F X_1)) (tptp.hAPP_b651754310l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_1)) (tptp.hAPP_f1895971544l_bool B_1 X_1)))))) (forall ((X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A_1 B_1))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_1)) (tptp.hAPP_A659996934l_bool B_1 X_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_P870295781le_alt F X_2)) (tptp.hAPP_P1116266031t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f784749731l_bool (tptp.hAPP_f731818989l_bool tptp.member385159430le_alt F) (tptp.pi_Pro222743023le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_P1645359566e_indi F X_2)) (tptp.hAPP_P957402556i_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f817344902l_bool (tptp.hAPP_f1387788301l_bool tptp.member220564739e_indi F) (tptp.pi_Pro58544964e_indi A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_P1576037953le_alt F X_2)) (tptp.hAPP_P1436281263t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f437011961l_bool (tptp.hAPP_f1325762381l_bool tptp.member2074697974le_alt F) (tptp.pi_Pro368504503le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1287961430le_alt F X_2)) (tptp.hAPP_f3167870t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f412569108l_bool (tptp.hAPP_f1136111951l_bool tptp.member1464733303le_alt F) (tptp.pi_fun1083455072le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f350403485e_indi F X_2)) (tptp.hAPP_f1570138413i_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f882250837l_bool (tptp.hAPP_f1140532045l_bool tptp.member1618799570e_indi F) (tptp.pi_fun268174099e_indi A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f597551504le_alt F X_2)) (tptp.hAPP_f1329247136t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f505027144l_bool (tptp.hAPP_f1140553229l_bool tptp.member39203141le_alt F) (tptp.pi_fun1110020102le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1378099862l_bool F X_2)) (tptp.hAPP_f591334822l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1138659662l_bool (tptp.hAPP_f1338606733l_bool tptp.member1402889547l_bool F) (tptp.pi_fun1236347660l_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f459545019le_alt F X_2)) (tptp.hAPP_f1068593625t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1518247545l_bool (tptp.hAPP_f599048525l_bool tptp.member2142449782le_alt F) (tptp.pi_fun1197906993le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f1283454584e_indi F X_2)) (tptp.hAPP_f431432850i_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi F) (tptp.pi_fun596906370e_indi A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f1643422699le_alt F X_2)) (tptp.hAPP_f1681297285t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f270557859l_bool (tptp.hAPP_f635489773l_bool tptp.member1687274886le_alt F) 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(tptp.hBOOL (tptp.hAPP_f1094272486l_bool (tptp.hAPP_f1880077555l_bool tptp.member567993161le_alt F) (tptp.pi_fun158009906le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f2043811403e_indi F X_2)) (tptp.hAPP_f783549695i_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f742658307l_bool (tptp.hAPP_f749156301l_bool tptp.member234310528e_indi F) (tptp.pi_fun1353458625e_indi A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool 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(=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_P802532161le_alt F X_2)) (tptp.hAPP_P651748559t_bool B_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f2031902329l_bool (tptp.hAPP_f772908877l_bool tptp.member1097202038le_alt F) (tptp.pi_Pro1742482359le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_b1482008903le_alt F X_2)) (tptp.hAPP_b763490121t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f2053170815l_bool (tptp.hAPP_f452450509l_bool tptp.member300433020le_alt F) (tptp.pi_boo1542163389le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) 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(tptp.hAPP_f620747982l_bool (tptp.hAPP_f1518101645l_bool tptp.member1024929995t_bool F) (tptp.pi_boo679625100t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool F X_2)) (tptp.hAPP_A433435097l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f640821677l_bool (tptp.hAPP_f1475191373l_bool tptp.member1194332074t_bool F) (tptp.pi_Arr1752452453t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool 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(=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_2)) (tptp.hAPP_P1122857141l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_2)) (tptp.hAPP_f1895971544l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_2)) (tptp.hAPP_A659996934l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_P870295781le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f784749731l_bool (tptp.hAPP_f731818989l_bool tptp.member385159430le_alt F) (tptp.pi_Pro222743023le_alt A_1 (tptp.hAPP_f342341961t_bool tptp.cOMBK_980874600le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_P1645359566e_indi F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f817344902l_bool (tptp.hAPP_f1387788301l_bool tptp.member220564739e_indi F) (tptp.pi_Pro58544964e_indi A_1 (tptp.hAPP_f3439105i_bool tptp.cOMBK_520250367le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_P1576037953le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f437011961l_bool (tptp.hAPP_f1325762381l_bool tptp.member2074697974le_alt F) (tptp.pi_Pro368504503le_alt A_1 (tptp.hAPP_f2022891751t_bool tptp.cOMBK_1634281074le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1287961430le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f412569108l_bool (tptp.hAPP_f1136111951l_bool tptp.member1464733303le_alt F) (tptp.pi_fun1083455072le_alt A_1 (tptp.hAPP_f1698272152t_bool tptp.cOMBK_242036279t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f350403485e_indi F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f882250837l_bool (tptp.hAPP_f1140532045l_bool tptp.member1618799570e_indi F) (tptp.pi_fun268174099e_indi A_1 (tptp.hAPP_f1274922098i_bool tptp.cOMBK_948333518t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f597551504le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f505027144l_bool (tptp.hAPP_f1140553229l_bool tptp.member39203141le_alt F) (tptp.pi_fun1110020102le_alt A_1 (tptp.hAPP_f303195352t_bool tptp.cOMBK_1264040257t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1378099862l_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f1138659662l_bool (tptp.hAPP_f1338606733l_bool tptp.member1402889547l_bool F) (tptp.pi_fun1236347660l_bool A_1 (tptp.hAPP_f498119908l_bool tptp.cOMBK_874213703t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f459545019le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f1518247545l_bool (tptp.hAPP_f599048525l_bool tptp.member2142449782le_alt F) (tptp.pi_fun1197906993le_alt A_1 (tptp.hAPP_f391873743t_bool tptp.cOMBK_339579368t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f1283454584e_indi F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi F) (tptp.pi_fun596906370e_indi A_1 (tptp.hAPP_f1077635369i_bool tptp.cOMBK_1399131793t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f1643422699le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f270557859l_bool (tptp.hAPP_f635489773l_bool tptp.member1687274886le_alt F) (tptp.pi_fun404660213le_alt A_1 (tptp.hAPP_f684471657t_bool tptp.cOMBK_509674590t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1733357041l_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f560261801l_bool (tptp.hAPP_f1171266041l_bool tptp.member2021375116l_bool F) (tptp.pi_fun568395771l_bool A_1 (tptp.hAPP_f2062029545l_bool tptp.cOMBK_753699544t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1273877800le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f1094272486l_bool (tptp.hAPP_f1880077555l_bool tptp.member567993161le_alt F) (tptp.pi_fun158009906le_alt A_1 (tptp.hAPP_f1300833606t_bool tptp.cOMBK_1961253349t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f2043811403e_indi F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f742658307l_bool (tptp.hAPP_f749156301l_bool tptp.member234310528e_indi F) (tptp.pi_fun1353458625e_indi A_1 (tptp.hAPP_f1377869636i_bool tptp.cOMBK_1847391868t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f444731198le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f1484382710l_bool (tptp.hAPP_f1894818957l_bool tptp.member1953881075le_alt F) (tptp.pi_fun481655732le_alt A_1 (tptp.hAPP_f1228246954t_bool tptp.cOMBK_906927855t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f446648900l_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f750478076l_bool (tptp.hAPP_f2087408397l_bool tptp.member48503289l_bool F) (tptp.pi_fun187048122l_bool A_1 (tptp.hAPP_f1459432374l_bool tptp.cOMBK_1068969205t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f2129568089l_bool (tptp.hAPP_f884817497l_bool tptp.member442467260le_alt F) (tptp.pi_Arr914263595le_alt A_1 (tptp.hAPP_f102394819t_bool tptp.cOMBK_78615028le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A503573454le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f1291635206l_bool (tptp.hAPP_f1234917389l_bool tptp.member219620739le_alt F) (tptp.pi_Arr1064242500le_alt A_1 (tptp.hAPP_f590186314t_bool tptp.cOMBK_776703103e_indi B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_P802532161le_alt F X_2)) B_1)))) (tptp.hBOOL (tptp.hAPP_f2031902329l_bool (tptp.hAPP_f772908877l_bool tptp.member1097202038le_alt F) (tptp.pi_Pro1742482359le_alt A_1 (tptp.hAPP_f1737373975t_bool tptp.cOMBK_1925322610le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_b1482008903le_alt F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f2053170815l_bool (tptp.hAPP_f452450509l_bool tptp.member300433020le_alt F) (tptp.pi_boo1542163389le_alt A_1 (tptp.hAPP_f581841297t_bool tptp.cOMBK_1685845624l_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A630236912t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f2140553640l_bool (tptp.hAPP_f1101355639l_bool tptp.member1423816203t_bool F) (tptp.pi_Arr425730554t_bool A_1 (tptp.hAPP_f1973254019l_bool tptp.cOMBK_1744976613le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A739031709t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f1898839893l_bool (tptp.hAPP_f1836999501l_bool tptp.member104322770t_bool F) (tptp.pi_Arr656802323t_bool A_1 (tptp.hAPP_f1932802664l_bool tptp.cOMBK_1217667022e_indi B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_P1689126160t_bool F X_2)) B_1)))) (tptp.hBOOL (tptp.hAPP_f404365000l_bool (tptp.hAPP_f4855309l_bool tptp.member30324165t_bool F) (tptp.pi_Pro54111110t_bool A_1 (tptp.hAPP_f978113205l_bool tptp.cOMBK_1549622337le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_b821377302t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f620747982l_bool (tptp.hAPP_f1518101645l_bool tptp.member1024929995t_bool F) (tptp.pi_boo679625100t_bool A_1 (tptp.hAPP_f1768325679l_bool tptp.cOMBK_391161927l_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool 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$$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_b763490121t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f937100551l_bool (tptp.hAPP_f840347317l_bool tptp.member1258284266t_bool F) (tptp.pi_boo1746012499t_bool A_1 (tptp.hAPP_f118515775l_bool tptp.cOMBK_1028572856l_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A88621982t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f1134444118l_bool (tptp.hAPP_f850619859l_bool tptp.member821152697t_bool F) (tptp.pi_Arr1120237736t_bool A_1 (tptp.hAPP_f1136405251l_bool tptp.cOMBK_1435997879le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A1433148491t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f2016919811l_bool (tptp.hAPP_f1063991245l_bool tptp.member689634176t_bool F) (tptp.pi_Arr742795713t_bool A_1 (tptp.hAPP_f206814660l_bool tptp.cOMBK_472365180e_indi B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_P482525630t_bool F X_2)) B_1)))) (tptp.hBOOL (tptp.hAPP_f2139503478l_bool (tptp.hAPP_f115737741l_bool tptp.member1712829811t_bool F) (tptp.pi_Pro519450164t_bool A_1 (tptp.hAPP_f1197671953l_bool tptp.cOMBK_165199855le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_b327863236t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f740740988l_bool (tptp.hAPP_f2134766349l_bool tptp.member930088569t_bool F) (tptp.pi_boo68262458t_bool A_1 (tptp.hAPP_f1756719499l_bool tptp.cOMBK_1377637877l_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A_1 (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_2)) B_1))))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A_1 (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool B_1)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 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(tptp.hAPP_P1436281263t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f437011961l_bool (tptp.hAPP_f1325762381l_bool tptp.member2074697974le_alt F) (tptp.pi_Pro368504503le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1287961430le_alt F X_2)) (tptp.hAPP_f3167870t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f412569108l_bool (tptp.hAPP_f1136111951l_bool tptp.member1464733303le_alt F) (tptp.pi_fun1083455072le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f350403485e_indi F X_2)) (tptp.hAPP_f1570138413i_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f882250837l_bool (tptp.hAPP_f1140532045l_bool tptp.member1618799570e_indi F) (tptp.pi_fun268174099e_indi A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f597551504le_alt F X_2)) (tptp.hAPP_f1329247136t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f505027144l_bool (tptp.hAPP_f1140553229l_bool tptp.member39203141le_alt F) (tptp.pi_fun1110020102le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL 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(A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f1283454584e_indi F X_2)) (tptp.hAPP_f431432850i_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi F) (tptp.pi_fun596906370e_indi A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f1643422699le_alt F X_2)) (tptp.hAPP_f1681297285t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f270557859l_bool (tptp.hAPP_f635489773l_bool tptp.member1687274886le_alt F) (tptp.pi_fun404660213le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1733357041l_bool F X_2)) (tptp.hAPP_f812095627l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f560261801l_bool (tptp.hAPP_f1171266041l_bool tptp.member2021375116l_bool F) (tptp.pi_fun568395771l_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hAPP_f1273877800le_alt F X_2)) (tptp.hAPP_f1741989420t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1094272486l_bool (tptp.hAPP_f1880077555l_bool tptp.member567993161le_alt F) (tptp.pi_fun158009906le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f2043811403e_indi F X_2)) (tptp.hAPP_f783549695i_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f742658307l_bool (tptp.hAPP_f749156301l_bool tptp.member234310528e_indi F) (tptp.pi_fun1353458625e_indi A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_f444731198le_alt F X_2)) (tptp.hAPP_f1114489970t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1484382710l_bool (tptp.hAPP_f1894818957l_bool tptp.member1953881075le_alt F) (tptp.pi_fun481655732le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f446648900l_bool F X_2)) (tptp.hAPP_f721327224l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f750478076l_bool (tptp.hAPP_f2087408397l_bool tptp.member48503289l_bool F) (tptp.pi_fun187048122l_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt F X_2)) (tptp.hAPP_A1014090479t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f2129568089l_bool (tptp.hAPP_f884817497l_bool tptp.member442467260le_alt F) (tptp.pi_Arr914263595le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A503573454le_alt F X_2)) (tptp.hAPP_A340536322t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1291635206l_bool (tptp.hAPP_f1234917389l_bool tptp.member219620739le_alt F) (tptp.pi_Arr1064242500le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_P802532161le_alt F X_2)) (tptp.hAPP_P651748559t_bool B_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f2031902329l_bool (tptp.hAPP_f772908877l_bool tptp.member1097202038le_alt F) (tptp.pi_Pro1742482359le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_b1482008903le_alt F X_2)) (tptp.hAPP_b763490121t_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f2053170815l_bool (tptp.hAPP_f452450509l_bool tptp.member300433020le_alt F) (tptp.pi_boo1542163389le_alt A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A630236912t_bool F X_2)) (tptp.hAPP_A1745457982l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f2140553640l_bool (tptp.hAPP_f1101355639l_bool tptp.member1423816203t_bool F) (tptp.pi_Arr425730554t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A739031709t_bool F X_2)) (tptp.hAPP_A701636433l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1898839893l_bool (tptp.hAPP_f1836999501l_bool tptp.member104322770t_bool F) (tptp.pi_Arr656802323t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_P1689126160t_bool F X_2)) (tptp.hAPP_P2049543454l_bool B_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f404365000l_bool (tptp.hAPP_f4855309l_bool tptp.member30324165t_bool F) (tptp.pi_Pro54111110t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_b821377302t_bool F X_2)) (tptp.hAPP_b1461182872l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f620747982l_bool (tptp.hAPP_f1518101645l_bool tptp.member1024929995t_bool F) (tptp.pi_boo679625100t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool F X_2)) (tptp.hAPP_A433435097l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f640821677l_bool (tptp.hAPP_f1475191373l_bool tptp.member1194332074t_bool F) (tptp.pi_Arr1752452453t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_P651748559t_bool F X_2)) (tptp.hAPP_P467353593l_bool B_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f1488127117l_bool (tptp.hAPP_f1070625729l_bool tptp.member1770643824t_bool F) (tptp.pi_Pro1560469721t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_b763490121t_bool F X_2)) (tptp.hAPP_b805997823l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f937100551l_bool (tptp.hAPP_f840347317l_bool tptp.member1258284266t_bool F) (tptp.pi_boo1746012499t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A88621982t_bool F X_2)) (tptp.hAPP_A990651116l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f1134444118l_bool (tptp.hAPP_f850619859l_bool tptp.member821152697t_bool F) (tptp.pi_Arr1120237736t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A1433148491t_bool F X_2)) (tptp.hAPP_A955165183l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f2016919811l_bool (tptp.hAPP_f1063991245l_bool tptp.member689634176t_bool F) (tptp.pi_Arr742795713t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_P482525630t_bool F X_2)) (tptp.hAPP_P1533476044l_bool B_1 X_2))))) (tptp.hBOOL (tptp.hAPP_f2139503478l_bool (tptp.hAPP_f115737741l_bool tptp.member1712829811t_bool F) (tptp.pi_Pro519450164t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_b327863236t_bool F X_2)) (tptp.hAPP_b651754310l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f740740988l_bool (tptp.hAPP_f2134766349l_bool tptp.member930088569t_bool F) (tptp.pi_boo68262458t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_2)) (tptp.hAPP_P1122857141l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_2)) (tptp.hAPP_f1895971544l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A_1 B_1))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_2)) (tptp.hAPP_A659996934l_bool B_1 X_2)))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A_1 B_1))))) (forall ((B_1 $$unsorted) (G $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.pi_Pro1873779901t_bool A_1 B_1))) (=> (forall ((W $$unsorted)) (=> (tptp.is_Pro1004667236le_alt W) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt W) A_1)) (= (tptp.hBOOL (tptp.hAPP_P1813625415t_bool F W)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool G W)))))) (= (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) _let_1)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool G) _let_1)))))) (forall ((B_1 $$unsorted) (F $$unsorted) (G $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.pi_fun1555365306t_bool A_1 B_1))) (=> (forall ((W $$unsorted)) (=> (tptp.is_fun1264457267t_bool W) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool W) A_1)) (= (tptp.hAPP_f1817389232t_bool F W) (tptp.hAPP_f1817389232t_bool G W))))) (= (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) _let_1)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool G) _let_1)))))) (forall ((B_1 $$unsorted) (F $$unsorted) (G $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.pi_Arr1801471756t_bool A_1 B_1))) (=> (forall ((W $$unsorted)) (=> (tptp.is_Arr859726945e_indi W) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi W) A_1)) (= (tptp.hAPP_A340536322t_bool F W) (tptp.hAPP_A340536322t_bool G W))))) (= (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) _let_1)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool G) _let_1)))))) (forall ((S_1 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 S_1))))) (= R_2 S_1))) (forall ((S_1 $$unsorted) (R_2 $$unsorted)) (=> (and (tptp.is_fun20916972t_bool S_1) (tptp.is_fun20916972t_bool R_2)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Xa)))) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Xa)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 S_1)))))) (= R_2 S_1)))) (forall ((Y_3 $$unsorted)) (not (forall ((A $$unsorted) (B $$unsorted)) (not (= Y_3 (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A) B)))))) (forall ((Y_3 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt Y_3) (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B)) (not (= Y_3 (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B)))))))) (forall ((P_2 $$unsorted)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (not (= P_2 (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) Y_1)))))) (forall ((P_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt P_2) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_1)) (not (= P_2 (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_1)))))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa X1))) (exists ((A $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A) B)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (and (tptp.is_Pro1004667236le_alt X1) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa X1)))) (exists ((A $$unsorted) (B $$unsorted)) (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B))))))) (forall ((X_20 $$unsorted)) (= (tptp.insert1969589781le_alt X_20 tptp.nil_Ar1135217151le_alt) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_20) tptp.nil_Ar1135217151le_alt))) (forall ((X_19 $$unsorted) (Xs_37 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs_37)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.insert1969589781le_alt X_19 Xs_37))))) (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool A_1 X_1)))) (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A_1)) (tptp.hBOOL (tptp.hAPP_A416869060i_bool A_1 X_1)))) (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool A_1 X_1)))) (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_bool_bool A_1 X_1)))) (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A_1)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool A_1 X_1)))) (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1378099862l_bool A_1 X_1)))) (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool A_1 X_1)))) (forall ((X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A_1)) (tptp.hBOOL (tptp.hAPP_f446648900l_bool A_1 X_1)))) (forall ((Pa $$unsorted)) (=> (tptp.is_fun1651000642t_bool Pa) (= (tptp.collec591097828le_alt Pa) Pa))) (forall ((Pa $$unsorted)) (=> (tptp.is_fun2015243113i_bool Pa) (= (tptp.collec279390863e_indi Pa) Pa))) (forall ((Pa $$unsorted)) (=> (tptp.is_fun1420103068l_bool Pa) (= (tptp.collec612883262t_bool Pa) Pa))) (forall ((Pa $$unsorted) (Xs $$unsorted)) (=> (not (= Xs tptp.nil_Ar1135217151le_alt)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (tptp.hBOOL (tptp.hAPP_l300482276t_bool Pa (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) tptp.nil_Ar1135217151le_alt))))) (=> (forall ((X_2 $$unsorted) (Xs_9 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (not (= Xs_9 tptp.nil_Ar1135217151le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool Pa Xs_9)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool Pa (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) Xs_9))))))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool Pa Xs)))))) (forall ((X_2 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool (tptp.produc616221118t_bool X_2) Xa) Xb)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool X_2 (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Xa) Xb))))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1373277879t_bool F (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool (tptp.produc930723380t_bool F) Aa) Ba)))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1813625415t_bool F (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool (tptp.produc616221118t_bool F) Aa) Ba)))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.null_A1369988103le_alt tptp.nil_Ar1135217151le_alt)) (forall ((Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.null_A1369988103le_alt Xs)) (= Xs tptp.nil_Ar1135217151le_alt))) (forall ((Xs $$unsorted)) (= (= Xs tptp.nil_Ar1135217151le_alt) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.null_A1369988103le_alt Xs)))) (forall ((X_18 $$unsorted) (Xs_36 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.null_A1369988103le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_18) Xs_36))))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool (tptp.produc930723380t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool F (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba))))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool (tptp.produc616221118t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool F (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba))))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool (tptp.produc930723380t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool F (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba))))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool (tptp.produc616221118t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool F (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba))))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool (tptp.produc616221118t_bool F) Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool F (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba))))) (forall ((Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool tptp.equal_732151074le_alt Xs) tptp.nil_Ar1135217151le_alt)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.null_A1369988103le_alt Xs)))) _let_12 (forall ((Aa $$unsorted) (X_1 $$unsorted) (Ba $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f664322981t_bool tptp.lexord717456039le_alt R_1))) (= (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Aa) X_1)) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Ba) Y_2))) _let_1)) (or (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba)) R_1)) (and (= Aa Ba) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt X_1) Y_2)) _let_1))))))) (forall ((Aa $$unsorted) (X_1 $$unsorted) (Ba $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))) (=> (and (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Aa) X_1)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Ba) Y_2))) _let_1)) (or (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) R_1)) (and (= Aa Ba) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) _let_1)))))))) (forall ((Xs_35 $$unsorted)) (=> (not (= Xs_35 tptp.nil_Ar1135217151le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs_35)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.butlas123970891le_alt Xs_35)))))) _let_9 _let_8 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.top_to1849101472l_bool X_1))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool tptp.top_to846262053l_bool X_1))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1378099862l_bool tptp.top_to935749874l_bool X_1))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool tptp.top_to1773227171t_bool X_1))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_A416869060i_bool tptp.top_to207207712i_bool X_1))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool tptp.top_to186242507t_bool X_1))) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool tptp.equal_732151074le_alt X_1) Y_2)) (= X_1 Y_2))) (forall ((A_1 $$unsorted)) (= (tptp.pi_Pro1873779901t_bool A_1 (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt tptp.top_to1647826457l_bool)) tptp.top_to846262053l_bool)) (forall ((A_1 $$unsorted)) (= (tptp.pi_fun1555365306t_bool A_1 (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool tptp.top_to846262053l_bool)) tptp.top_to1849101472l_bool)) (forall ((A_1 $$unsorted)) (= (tptp.pi_Arr1801471756t_bool A_1 (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi tptp.top_to846262053l_bool)) tptp.top_to935749874l_bool)) (= (tptp.butlas123970891le_alt tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt) (forall ((X_1 $$unsorted) (R_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) tptp.nil_Ar1135217151le_alt)) (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))))) (forall ((X_15 $$unsorted) (Xs_32 $$unsorted)) (let ((_let_1 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_15))) (let ((_let_2 (tptp.butlas123970891le_alt (tptp.hAPP_l372964747le_alt _let_1 Xs_32)))) (let ((_let_3 (= Xs_32 tptp.nil_Ar1135217151le_alt))) (and (=> _let_3 (= _let_2 tptp.nil_Ar1135217151le_alt)) (=> (not _let_3) (= _let_2 (tptp.hAPP_l372964747le_alt _let_1 (tptp.butlas123970891le_alt Xs_32))))))))) (forall ((X_14 $$unsorted) (Xs_31 $$unsorted)) (let ((_let_1 (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_14) Xs_31)))) (let ((_let_2 (= Xs_31 tptp.nil_Ar1135217151le_alt))) (=> (tptp.is_Arr723427730le_alt X_14) (and (=> _let_2 (= _let_1 X_14)) (=> (not _let_2) (= _let_1 (tptp.last_A1066338328le_alt Xs_31)))))))) (forall ((Y_2 $$unsorted) (R_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt tptp.nil_Ar1135217151le_alt) Y_2)) (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))) (exists ((A $$unsorted) (X_2 $$unsorted)) (and (tptp.is_Arr723427730le_alt A) (= Y_2 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt A) X_2)))))) (forall ((Xs $$unsorted) (R_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) X_2)) R_1)))) (not (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) Xs)) (tptp.hAPP_f664322981t_bool tptp.lexord717456039le_alt R_1)))))) (forall ((Xs $$unsorted) (R_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) X_2)) R_1))))) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Xs)) (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1)))))) (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f664322981t_bool tptp.lexord717456039le_alt R_1))) (=> (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A) B)) R_1)) (= A B) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt B) A)) R_1)))) (or (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt X_1) Y_2)) _let_1)) (= X_1 Y_2) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Y_2) X_1)) _let_1)))))) (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B)) (or (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B)) R_1)) (= A B) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt B) A)) R_1))))) (or (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) _let_1)) (= X_1 Y_2) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Y_2) X_1)) _let_1)))))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) tptp.top_to818291475t_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) tptp.top_to1647826457l_bool))) _let_7 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) tptp.top_to186242507t_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) tptp.top_to1773227171t_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) tptp.top_to935749874l_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) tptp.top_to846262053l_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) tptp.top_to1849101472l_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) tptp.top_to818291475t_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) tptp.top_to1647826457l_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) tptp.top_to207207712i_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) tptp.top_to186242507t_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) tptp.top_to1773227171t_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) tptp.top_to935749874l_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) tptp.top_to846262053l_bool))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) tptp.top_to1849101472l_bool))) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.top_to1849101472l_bool X_1)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool tptp.top_to846262053l_bool X_1)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1378099862l_bool tptp.top_to935749874l_bool X_1)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1813625415t_bool tptp.top_to1773227171t_bool X_1)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A416869060i_bool tptp.top_to207207712i_bool X_1)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A1120018583t_bool tptp.top_to186242507t_bool X_1)) (tptp.hBOOL tptp.top_top_bool))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_Ar1135217151le_alt)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs)) (= (tptp.takeWh1545314552le_alt (tptp.hAPP_f246757773t_bool (tptp.hAPP_f1211148133t_bool tptp.cOMBB_966447723le_alt tptp.fNot) (tptp.hAPP_A1781286015t_bool (tptp.hAPP_f271508829t_bool tptp.cOMBC_2032358938t_bool tptp.fequal21574094le_alt) (tptp.last_A1066338328le_alt Xs))) Xs) (tptp.butlas123970891le_alt Xs))))) (forall ((Pa $$unsorted)) (= (tptp.partit1336600824le_alt Pa tptp.nil_Ar1135217151le_alt) (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt))) (forall ((Pa $$unsorted)) (= (tptp.takeWh1545314552le_alt Pa tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt)) (forall ((Pa $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.takeWh1545314552le_alt Pa Xs))))) (forall ((Xs $$unsorted) (Pa $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1))) (let ((_let_2 (tptp.takeWh1545314552le_alt Pa (tptp.hAPP_l372964747le_alt _let_1 Xs)))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_1)))) (and (=> _let_3 (= _let_2 (tptp.hAPP_l372964747le_alt _let_1 (tptp.takeWh1545314552le_alt Pa Xs)))) (=> (not _let_3) (= _let_2 tptp.nil_Ar1135217151le_alt))))))) (= tptp.top_to1849101472l_bool (tptp.collec1517527055t_bool (tptp.hAPP_b651754310l_bool tptp.cOMBK_577652221t_bool tptp.fTrue))) (= tptp.top_to935749874l_bool (tptp.collec1567922785t_bool (tptp.hAPP_b1461182872l_bool tptp.cOMBK_776847951t_bool tptp.fTrue))) (= tptp.top_to1773227171t_bool (tptp.collec1376511890le_alt (tptp.hAPP_b763490121t_bool tptp.cOMBK_1733734784le_alt tptp.fTrue))) (= tptp.top_to207207712i_bool (tptp.collec279390863e_indi (tptp.hAPP_b2116075462i_bool tptp.cOMBK_1391252605e_indi tptp.fTrue))) (= tptp.top_to186242507t_bool (tptp.collec591097828le_alt (tptp.hAPP_b287951269t_bool tptp.cOMBK_507931254le_alt tptp.fTrue))) (= tptp.top_to846262053l_bool (tptp.collec612883262t_bool (tptp.hAPP_b805997823l_bool tptp.cOMBK_715978704t_bool tptp.fTrue))) (forall ((A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) A_1))) (= tptp.top_to818291475t_bool A_1))) (forall ((A_1 $$unsorted)) (=> (tptp.is_fun_bool_bool A_1) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A_1)))) (= tptp.top_to1647826457l_bool A_1)))) (forall ((A_1 $$unsorted)) (=> (tptp.is_fun2015243113i_bool A_1) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A_1)))) (= tptp.top_to207207712i_bool A_1)))) (forall ((A_1 $$unsorted)) (=> (tptp.is_fun1651000642t_bool A_1) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) A_1)))) (= tptp.top_to186242507t_bool A_1)))) (forall ((A_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool A_1) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A_1)))) (= tptp.top_to1773227171t_bool A_1)))) (forall ((A_1 $$unsorted)) (=> (tptp.is_fun701126715l_bool A_1) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A_1)))) (= tptp.top_to935749874l_bool A_1)))) (forall ((A_1 $$unsorted)) (=> (tptp.is_fun1420103068l_bool A_1) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A_1)))) (= tptp.top_to846262053l_bool A_1)))) (forall ((A_1 $$unsorted)) (=> (tptp.is_fun292781289l_bool A_1) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A_1)))) (= tptp.top_to1849101472l_bool A_1)))) (exists ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) tptp.top_to818291475t_bool))) (exists ((X_2 $$unsorted)) (and (tptp.is_bool X_2) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) tptp.top_to1647826457l_bool)))) (exists ((X_2 $$unsorted)) (and (tptp.is_Arr859726945e_indi X_2) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) tptp.top_to207207712i_bool)))) (exists ((X_2 $$unsorted)) (and (tptp.is_Arr723427730le_alt X_2) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) tptp.top_to186242507t_bool)))) (exists ((X_2 $$unsorted)) (and (tptp.is_Pro1004667236le_alt X_2) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) tptp.top_to1773227171t_bool)))) (exists ((X_2 $$unsorted)) (and (tptp.is_fun1264457267t_bool X_2) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) tptp.top_to935749874l_bool)))) (exists ((X_2 $$unsorted)) (and (tptp.is_fun20916972t_bool X_2) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) tptp.top_to846262053l_bool)))) (exists ((X_2 $$unsorted)) (and (tptp.is_fun48324065t_bool X_2) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) tptp.top_to1849101472l_bool)))) (= tptp.arrow_912654623le_Lin (tptp.collec612883262t_bool (tptp.order_1844940151le_alt tptp.top_to186242507t_bool))) (forall ((Xs_30 $$unsorted)) (=> (not (= Xs_30 tptp.nil_Ar1135217151le_alt)) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.butlas123970891le_alt Xs_30)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt (tptp.last_A1066338328le_alt Xs_30)) tptp.nil_Ar1135217151le_alt)) Xs_30))) (forall ((Xs $$unsorted) (X_1 $$unsorted) (Ys_1 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_1) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) tptp.nil_Ar1135217151le_alt)) Ys_1) (and (not (= Ys_1 tptp.nil_Ar1135217151le_alt)) (= (tptp.butlas123970891le_alt Ys_1) Xs) (= (tptp.last_A1066338328le_alt Ys_1) X_1))))) (forall ((Xs $$unsorted) (R_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) tptp.nil_Ar1135217151le_alt)) (tptp.hAPP_f1681297285t_bool tptp.lex_Ar1264540259le_alt R_1))))) (forall ((Ys_1 $$unsorted) (R_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt tptp.nil_Ar1135217151le_alt) Ys_1)) (tptp.hAPP_f1681297285t_bool tptp.lex_Ar1264540259le_alt R_1))))) (forall ((Ys_16 $$unsorted) (Us_2 $$unsorted) (Xs_29 $$unsorted) (Xs1_1 $$unsorted) (Zs_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_29))) (=> (= (tptp.hAPP_l372964747le_alt _let_1 Xs1_1) Zs_4) (=> (= Ys_16 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs1_1) Us_2)) (= (tptp.hAPP_l372964747le_alt _let_1 Ys_16) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Zs_4) Us_2)))))) (forall ((Ys_1 $$unsorted) (Xs $$unsorted) (Zs_1 $$unsorted)) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_1) Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Zs_1) Xs)) (= Ys_1 Zs_1))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (Zs_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs))) (= (= (tptp.hAPP_l372964747le_alt _let_1 Ys_1) (tptp.hAPP_l372964747le_alt _let_1 Zs_1)) (= Ys_1 Zs_1)))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (Zs_1 $$unsorted) (Ts $$unsorted)) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Zs_1) Ts)) (exists ((Us $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Us))) (or (and (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Zs_1) Us)) (= (tptp.hAPP_l372964747le_alt _let_1 Ys_1) Ts)) (and (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Us) Zs_1) (= Ys_1 (tptp.hAPP_l372964747le_alt _let_1 Ts)))))))) (forall ((Xs_28 $$unsorted) (Ys_15 $$unsorted) (Zs_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_28))) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.hAPP_l372964747le_alt _let_1 Ys_15)) Zs_3) (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_15) Zs_3))))) (forall ((X_13 $$unsorted) (Xs_27 $$unsorted) (Ys_14 $$unsorted)) (let ((_let_1 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_13))) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.hAPP_l372964747le_alt _let_1 Xs_27)) Ys_14) (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_27) Ys_14))))) (forall ((Xs_26 $$unsorted) (Zs_2 $$unsorted) (X_12 $$unsorted) (Xs1 $$unsorted) (Ys_13 $$unsorted)) (let ((_let_1 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_12))) (=> (= (tptp.hAPP_l372964747le_alt _let_1 Xs1) Ys_13) (=> (= Xs_26 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs1) Zs_2)) (= (tptp.hAPP_l372964747le_alt _let_1 Xs_26) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_13) Zs_2)))))) (forall ((Ys_12 $$unsorted)) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt tptp.nil_Ar1135217151le_alt) Ys_12) Ys_12)) (forall ((Xs $$unsorted) (Ys_1 $$unsorted)) (= (= tptp.nil_Ar1135217151le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1)) (and (= Xs tptp.nil_Ar1135217151le_alt) (= Ys_1 tptp.nil_Ar1135217151le_alt)))) (forall ((Xs_25 $$unsorted)) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_25) tptp.nil_Ar1135217151le_alt) Xs_25)) (forall ((Xs $$unsorted) (Ys_1 $$unsorted)) (= (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1)) (= Ys_1 tptp.nil_Ar1135217151le_alt))) (forall ((Ys_1 $$unsorted) (Xs $$unsorted)) (= (= Ys_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1)) (= Xs tptp.nil_Ar1135217151le_alt))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted)) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1) tptp.nil_Ar1135217151le_alt) (and (= Xs tptp.nil_Ar1135217151le_alt) (= Ys_1 tptp.nil_Ar1135217151le_alt)))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted)) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1) Xs) (= Ys_1 tptp.nil_Ar1135217151le_alt))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted)) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1) Ys_1) (= Xs tptp.nil_Ar1135217151le_alt))) (forall ((Xs_24 $$unsorted) (Ys_11 $$unsorted)) (=> (= Xs_24 Ys_11) (= Xs_24 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt tptp.nil_Ar1135217151le_alt) Ys_11)))) (forall ((Ys_1 $$unsorted) (Zs_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs))) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_1) Zs_1) _let_1) (or (and (= Ys_1 tptp.nil_Ar1135217151le_alt) (= Zs_1 _let_1)) (exists ((Ys_10 $$unsorted)) (and (= Ys_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Ys_10)) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_10) Zs_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted) (Ys_1 $$unsorted) (Zs_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs))) (= (= _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_1) Zs_1)) (or (and (= Ys_1 tptp.nil_Ar1135217151le_alt) (= _let_1 Zs_1)) (exists ((Ys_10 $$unsorted)) (and (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Ys_10) Ys_1) (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_10) Zs_1)))))))) (forall ((Xs $$unsorted) (X_1 $$unsorted) (Ys_1 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2)) (= (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) tptp.nil_Ar1135217151le_alt)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_1) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) tptp.nil_Ar1135217151le_alt))) (and (= Xs Ys_1) (= X_1 Y_2))))) (forall ((Xs $$unsorted) (L $$unsorted) (Pa $$unsorted) (X_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_1))) (= (tptp.takeWh1545314552le_alt Pa (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) L))) (tptp.takeWh1545314552le_alt Pa Xs)))) (forall ((Xs_23 $$unsorted) (Ys_9 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_23))) (let ((_let_2 (tptp.butlas123970891le_alt (tptp.hAPP_l372964747le_alt _let_1 Ys_9)))) (let ((_let_3 (= Ys_9 tptp.nil_Ar1135217151le_alt))) (and (=> _let_3 (= _let_2 (tptp.butlas123970891le_alt Xs_23))) (=> (not _let_3) (= _let_2 (tptp.hAPP_l372964747le_alt _let_1 (tptp.butlas123970891le_alt Ys_9))))))))) (forall ((Xs_22 $$unsorted) (Ys_8 $$unsorted)) (let ((_let_1 (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_22) Ys_8)))) (let ((_let_2 (= Ys_8 tptp.nil_Ar1135217151le_alt))) (and (=> _let_2 (= _let_1 (tptp.last_A1066338328le_alt Xs_22))) (=> (not _let_2) (= _let_1 (tptp.last_A1066338328le_alt Ys_8))))))) (forall ((Xs_21 $$unsorted) (Ys_7 $$unsorted)) (=> (not (= Ys_7 tptp.nil_Ar1135217151le_alt)) (= (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_21) Ys_7)) (tptp.last_A1066338328le_alt Ys_7)))) (forall ((Xs_20 $$unsorted) (Ys_6 $$unsorted)) (=> (= Ys_6 tptp.nil_Ar1135217151le_alt) (= (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_20) Ys_6)) (tptp.last_A1066338328le_alt Xs_20)))) (forall ((X_1 $$unsorted) (U $$unsorted) (V $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))) (let ((_let_2 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt U) V)) _let_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt _let_2 U)) (tptp.hAPP_l372964747le_alt _let_2 V))) _let_1)))))) (forall ((Xs_19 $$unsorted) (X_11 $$unsorted)) (= (tptp.butlas123970891le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_19) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_11) tptp.nil_Ar1135217151le_alt))) Xs_19)) (forall ((Xs_18 $$unsorted) (X_10 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_10) (= (tptp.last_A1066338328le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_18) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_10) tptp.nil_Ar1135217151le_alt))) X_10))) (forall ((U $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt U))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) R_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Aa) X_1))) (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Ba) Y_2)))) (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1)))))) (forall ((U $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1626273389le_alt tptp.append1413540863le_alt U))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba)) R_1)) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt _let_1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Aa) X_1))) (tptp.hAPP_l1425181461le_alt _let_1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Ba) Y_2)))) (tptp.hAPP_f664322981t_bool tptp.lexord717456039le_alt R_1)))))) (forall ((X_1 $$unsorted) (R_1 $$unsorted) (Y_2 $$unsorted)) (=> (exists ((B $$unsorted) (Z $$unsorted)) (= Y_2 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt B) Z))) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt X_1) Y_2))) (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))))) (forall ((X_1 $$unsorted) (U $$unsorted) (V $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f664322981t_bool tptp.lexord717456039le_alt R_1))) (let ((_let_2 (tptp.hAPP_l1626273389le_alt tptp.append1413540863le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt _let_2 U)) (tptp.hAPP_l1425181461le_alt _let_2 V))) _let_1)) (=> (forall ((A $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A) A)) R_1)))) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt U) V)) _let_1))))))) (forall ((X_1 $$unsorted) (U $$unsorted) (V $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))) (let ((_let_2 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt _let_2 U)) (tptp.hAPP_l372964747le_alt _let_2 V))) _let_1)) (=> (forall ((A $$unsorted)) (=> (tptp.is_Arr723427730le_alt A) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) A)) R_1))))) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt U) V)) _let_1))))))) (forall ((Xs $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool Pa tptp.nil_Ar1135217151le_alt)) (=> (forall ((X_2 $$unsorted) (Xs_9 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool Pa Xs_9)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool Pa (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_9) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) tptp.nil_Ar1135217151le_alt))))))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool Pa Xs))))) (forall ((Xs_17 $$unsorted)) (=> (not (= Xs_17 tptp.nil_Ar1135217151le_alt)) (not (forall ((Ys $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_Arr723427730le_alt Y_1) (not (= Xs_17 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_1) tptp.nil_Ar1135217151le_alt))))))))) (forall ((Xs $$unsorted) (X_1 $$unsorted) (Ys_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1))) (= (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1626273389le_alt tptp.append1413540863le_alt Xs) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_1) tptp.nil_li7342420le_alt))) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1626273389le_alt tptp.append1413540863le_alt Ys_1) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) tptp.nil_li7342420le_alt)))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) Ys_1)) _let_1)) (= X_1 Y_2)) (and (= Xs Ys_1) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) R_1))))))) (forall ((Xs $$unsorted) (X_1 $$unsorted) (Ys_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2)) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) tptp.nil_Ar1135217151le_alt))) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_1) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) tptp.nil_Ar1135217151le_alt)))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) _let_1)) (= X_1 Y_2)) (and (= Xs Ys_1) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)) R_1)))))))) (forall ((Xs $$unsorted)) (= (tptp.rotate184372300le_alt Xs) (tptp.list_c1434691767le_alt tptp.nil_Ar1135217151le_alt (tptp.hAPP_f904937452le_alt (tptp.hAPP_f239458941le_alt tptp.cOMBB_521986850le_alt (tptp.hAPP_f268020663le_alt tptp.cOMBC_168079159le_alt tptp.append28105492le_alt)) (tptp.hAPP_l1693669363le_alt (tptp.hAPP_f18365135le_alt tptp.cOMBC_1169281096le_alt tptp.cons_A77766063le_alt) tptp.nil_Ar1135217151le_alt)) Xs))) (forall ((Xs $$unsorted)) (= (= (tptp.rotate184372300le_alt Xs) tptp.nil_Ar1135217151le_alt) (= Xs tptp.nil_Ar1135217151le_alt))) (forall ((Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.rotate184372300le_alt Xs))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs)))) (forall ((X_1 $$unsorted) (Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))) (let ((_let_2 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt _let_2 Xs)) (tptp.hAPP_l372964747le_alt _let_2 Ys_1))) _let_1)))))) (forall ((Xs $$unsorted) (R_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) tptp.nil_Ar1135217151le_alt)) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))))) (forall ((Xs $$unsorted) (R_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt tptp.nil_Ar1135217151le_alt) Xs)) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))))) (forall ((Us_1 $$unsorted) (Vs_1 $$unsorted) (Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))) (=> (or (and (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) _let_1)) (= Us_1 Vs_1)) (and (= Xs Ys_1) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Us_1) Vs_1)) _let_1)))) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Us_1)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys_1) Vs_1))) _let_1))))) (forall ((X_1 $$unsorted) (Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1))) (= (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_1) Xs)) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Ys_1))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) R_1)) (= Xs Ys_1)) (and (= X_1 Y_2) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) Ys_1)) _let_1))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2)) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Ys_1))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)) R_1)) (= Xs Ys_1)) (and (= X_1 Y_2) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) _let_1)))))))) (forall ((Xs $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)) R_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Xs))) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))))) (forall ((Xs $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) R_1)) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_1) Xs)) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Xs))) (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1))))) (forall ((Ys_1 $$unsorted) (Xs $$unsorted) (Us_1 $$unsorted) (Vs_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Us_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)) R_1)) (=> (= Xs (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Vs_1))) (=> (= Ys_1 (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Vs_1))) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1)))))))) (forall ((Ys_1 $$unsorted) (Xs $$unsorted) (Us_1 $$unsorted) (Vs_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1626273389le_alt tptp.append1413540863le_alt Us_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) R_1)) (=> (= Xs (tptp.hAPP_l1425181461le_alt _let_1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_1) Vs_1))) (=> (= Ys_1 (tptp.hAPP_l1425181461le_alt _let_1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Vs_1))) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) Ys_1)) (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1)))))))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) Ys_1)) (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1))) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) Y_1)) R_1)) (forall ((Us $$unsorted) (Vs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1626273389le_alt tptp.append1413540863le_alt Us))) (=> (= Xs (tptp.hAPP_l1425181461le_alt _let_1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_2) Vs))) (not (= Ys_1 (tptp.hAPP_l1425181461le_alt _let_1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_1) Vs)))))))))))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_1)) R_1)) (forall ((Us $$unsorted) (Vs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Us))) (=> (= Xs (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) Vs))) (not (= Ys_1 (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_1) Vs))))))))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_1) Xs)) Ys_1)) (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1))) (=> (forall ((Y_1 $$unsorted)) (=> (= Ys_1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_1) Xs)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_1)) R_1))))) (not (forall ((Zs $$unsorted)) (=> (= Ys_1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_1) Zs)) (not (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) Zs)) (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1)))))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)) Ys_1)) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))) (=> (forall ((Y_1 $$unsorted)) (=> (tptp.is_Arr723427730le_alt Y_1) (=> (= Ys_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_1) Xs)) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_1)) R_1)))))) (not (forall ((Zs $$unsorted)) (=> (= Ys_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Zs)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Zs)) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1)))))))))) (forall ((Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Ys_1))) (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1))) (=> (forall ((X_2 $$unsorted)) (=> (= Xs (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_2) Ys_1)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) Y_2)) R_1))))) (not (forall ((Zs $$unsorted)) (=> (= Xs (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Zs)) (not (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Zs) Ys_1)) (tptp.hAPP_f664322981t_bool tptp.listre868094907le_alt R_1)))))))))) (forall ((Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Ys_1))) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) Ys_1)) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) R_1)))))) (not (forall ((Zs $$unsorted)) (=> (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Zs)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Zs) Ys_1)) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1)))))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f664322981t_bool tptp.lex_li910676976le_alt R_1))) (= (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_1) Xs)) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Ys_1))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) R_1)) (= (tptp.size_s101148091le_alt Xs) (tptp.size_s101148091le_alt Ys_1))) (and (= X_1 Y_2) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) Ys_1)) _let_1))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.lex_Ar1264540259le_alt R_1))) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Y_2)) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Ys_1))) _let_1)) (or (and (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)) R_1)) (= (tptp.size_s2106320494le_alt Xs) (tptp.size_s2106320494le_alt Ys_1))) (and (= X_1 Y_2) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) _let_1)))))))) (forall ((Pa $$unsorted) (Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Ys_1))) (= (= (tptp.dropWh1165804960le_alt Pa Xs) _let_1) (and (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.takeWh1545314552le_alt Pa Xs)) _let_1)) (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa Y_2))))))) (forall ((Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1))) (= (tptp.partit1336600824le_alt Pa (tptp.hAPP_l372964747le_alt _let_1 Xs)) (tptp.hAPP_P2096362161le_alt (tptp.produc1250814607le_alt (tptp.hAPP_f794134621le_alt (tptp.hAPP_f2122335314le_alt tptp.cOMBS_1569784209le_alt (tptp.hAPP_f310101886le_alt (tptp.hAPP_f1558754397le_alt tptp.cOMBB_1988247237le_alt tptp.cOMBS_1626428525le_alt) (tptp.hAPP_f1504748473le_alt (tptp.hAPP_f1949171529le_alt tptp.cOMBB_215060470le_alt (tptp.hAPP_f1654251593le_alt tptp.cOMBB_1675847172le_alt (tptp.if_Pro1659200999le_alt (tptp.hAPP_A1120018583t_bool Pa X_1)))) (tptp.hAPP_f670565125le_alt (tptp.hAPP_f1124725731le_alt tptp.cOMBB_1236261828le_alt tptp.produc2031778509le_alt) _let_1)))) (tptp.hAPP_f670565125le_alt (tptp.hAPP_f351228915le_alt tptp.cOMBC_72147604le_alt (tptp.hAPP_f593033837le_alt (tptp.hAPP_f332249751le_alt tptp.cOMBB_96247696le_alt tptp.cOMBB_1303549321le_alt) tptp.produc2031778509le_alt)) _let_1))) (tptp.partit1336600824le_alt Pa Xs))))) (forall ((Xs $$unsorted) (Pa $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs))) (let ((_let_2 (tptp.dropWh1165804960le_alt Pa _let_1))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_1)))) (and (=> _let_3 (= _let_2 (tptp.dropWh1165804960le_alt Pa Xs))) (=> (not _let_3) (= _let_2 _let_1))))))) (forall ((Pa $$unsorted)) (= (tptp.dropWh1165804960le_alt Pa tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt)) (forall ((Pa $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.dropWh1165804960le_alt Pa Xs))))) (forall ((F $$unsorted)) (=> (tptp.is_fun20916972t_bool F) (= (tptp.produc278404511t_bool (tptp.produc616221118t_bool F)) F))) (forall ((F $$unsorted)) (=> (tptp.is_fun866579754t_bool F) (= (tptp.produc616221118t_bool (tptp.produc278404511t_bool F)) F))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) (tptp.hAPP_f1681297285t_bool tptp.listre1913026136le_alt R_1))) (= (tptp.size_s2106320494le_alt Xs) (tptp.size_s2106320494le_alt Ys_1)))) (forall ((Pa $$unsorted) (Xs $$unsorted)) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.takeWh1545314552le_alt Pa Xs)) (tptp.dropWh1165804960le_alt Pa Xs)) Xs)) (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)))) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.hAPP_f1681297285t_bool tptp.lex_Ar1264540259le_alt R_1))) (and (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))) (= (tptp.size_s2106320494le_alt X_1) (tptp.size_s2106320494le_alt Y_2)))))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) (tptp.lexn_A19384479le_alt R_1 N))) (and (= (tptp.size_s2106320494le_alt Xs) N) (= (tptp.size_s2106320494le_alt Ys_1) N)))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool F Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool (tptp.produc1802641557t_bool F) (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba))))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool F Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool (tptp.produc278404511t_bool F) (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba))))) (forall ((F1 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool F1 Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool (tptp.produc1802641557t_bool F1) (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba))))) (forall ((F1 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool F1 Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool (tptp.produc278404511t_bool F1) (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba))))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1373277879t_bool (tptp.produc1802641557t_bool F) (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool F Aa) Ba)))) (forall ((F $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1813625415t_bool (tptp.produc278404511t_bool F) (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool F Aa) Ba)))) (forall ((Ca $$unsorted) (P_1 $$unsorted)) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A) B)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool Ca A) B)))) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool (tptp.produc1802641557t_bool Ca) P_1)))) (forall ((Ca $$unsorted) (P_1 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt P_1) (=> (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A) (tptp.is_Arr723427730le_alt B)) (=> (= P_1 (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A) B)) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool Ca A) B))))) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool (tptp.produc278404511t_bool Ca) P_1))))) (forall ((Ca $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1373277879t_bool (tptp.produc1802641557t_bool Ca) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool Ca X_2) Y_1)))))))) (forall ((Ca $$unsorted) (P_1 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt P_1) (=> (tptp.hBOOL (tptp.hAPP_P1813625415t_bool (tptp.produc278404511t_bool Ca) P_1)) (not (forall ((X_2 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_1)) (=> (= P_1 (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_1)) (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool Ca X_2) Y_1)))))))))) (forall ((Ws $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Ws))) (exists ((Xs_9 $$unsorted) (Ys $$unsorted) (Zs $$unsorted) (Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_1) tptp.nil_Ar1135217151le_alt)))) (and (tptp.is_Arr723427730le_alt Y_1) (= Ws (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_9) (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys) (tptp.hAPP_l372964747le_alt _let_1 Zs)))))))))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Y_2)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Ys_1))) _let_1)))))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f664322981t_bool tptp.listre870705708le_alt R_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_1) Y_2)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) Ys_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_1) Xs)) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Ys_1))) _let_1)))))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted)) (= (tptp.tl_Arr314474198le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1)) (tptp.list_c1434691767le_alt (tptp.tl_Arr314474198le_alt Ys_1) (tptp.hAPP_f921948995le_alt tptp.cOMBK_1825575856le_alt (tptp.hAPP_l1390889510le_alt (tptp.hAPP_f268020663le_alt tptp.cOMBC_168079159le_alt tptp.append28105492le_alt) Ys_1)) Xs))) (forall ((Xs $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) tptp.nil_Ar1135217151le_alt)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))) (= Xs tptp.nil_Ar1135217151le_alt))) (forall ((Xs $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt tptp.nil_Ar1135217151le_alt) Xs)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))) (= Xs tptp.nil_Ar1135217151le_alt))) (forall ((X_9 $$unsorted) (Xs_16 $$unsorted)) (= (tptp.tl_Arr314474198le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_9) Xs_16)) Xs_16)) (= (tptp.tl_Arr314474198le_alt tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt) (forall ((Xs_15 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs_15)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.tl_Arr314474198le_alt Xs_15))))) (forall ((R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1)))) (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) Ys_1)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))) (= (tptp.size_s2106320494le_alt Xs) (tptp.size_s2106320494le_alt Ys_1)))) (forall ((Ys_5 $$unsorted) (Xs_14 $$unsorted)) (=> (not (= Xs_14 tptp.nil_Ar1135217151le_alt)) (= (tptp.tl_Arr314474198le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_14) Ys_5)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.tl_Arr314474198le_alt Xs_14)) Ys_5)))) (forall ((Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs) (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Ys_1))) (tptp.hAPP_f664322981t_bool tptp.listre870705708le_alt R_1))) (not (forall ((X_2 $$unsorted) (Xs_9 $$unsorted)) (=> (= Xs (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_2) Xs_9)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) Y_2)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs_9) Ys_1)) (tptp.hAPP_f664322981t_bool tptp.listre870705708le_alt R_1)))))))))) (forall ((Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Ys_1))) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))) (not (forall ((X_2 $$unsorted) (Xs_9 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) Xs_9)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs_9) Ys_1)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))))))))))) (forall ((Y_2 $$unsorted) (Ys_1 $$unsorted) (Xs $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_2) Ys_1)) Xs)) (tptp.hAPP_f664322981t_bool tptp.listre870705708le_alt R_1))) (not (forall ((Y_1 $$unsorted) (Ys $$unsorted)) (=> (= Xs (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_1) Ys)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Y_2) Y_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Ys_1) Ys)) (tptp.hAPP_f664322981t_bool tptp.listre870705708le_alt R_1)))))))))) (forall ((Y_2 $$unsorted) (Ys_1 $$unsorted) (Xs $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Ys_1)) Xs)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))) (not (forall ((Y_1 $$unsorted) (Ys $$unsorted)) (=> (tptp.is_Arr723427730le_alt Y_1) (=> (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_1) Ys)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Y_2) Y_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Ys_1) Ys)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))))))))))) (forall ((R_1 $$unsorted) (X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool (tptp.listre1062185049le_alt (tptp.hAPP_f1840820673t_bool (tptp.hAPP_f775987425t_bool tptp.cOMBC_441619036t_bool (tptp.hAPP_f1092358369t_bool (tptp.hAPP_f1682340965t_bool tptp.cOMBB_333235735le_alt tptp.cOMBC_943734388l_bool) (tptp.hAPP_f1747206697l_bool (tptp.hAPP_f274832101l_bool tptp.cOMBB_885534287le_alt (tptp.hAPP_f1585690341l_bool tptp.cOMBB_711698847le_alt tptp.member720722004le_alt)) tptp.produc1456060119le_alt))) R_1)) X_2) Xa)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) Xa)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))))) (forall ((R_1 $$unsorted) (X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l784127213t_bool (tptp.hAPP_l508185643t_bool (tptp.listre1064220282le_alt (tptp.hAPP_f1895633847t_bool (tptp.hAPP_f1997384703t_bool tptp.cOMBC_1696964078t_bool (tptp.hAPP_f1837837439t_bool (tptp.hAPP_f1503353479t_bool tptp.cOMBB_1326560562le_alt tptp.cOMBC_1827582133l_bool) (tptp.hAPP_f1893731349l_bool (tptp.hAPP_f1418100887l_bool tptp.cOMBB_1150645560le_alt (tptp.hAPP_f1224738111l_bool tptp.cOMBB_1407335828le_alt tptp.member1373125444le_alt)) tptp.produc2031778509le_alt))) R_1)) X_2) Xa)) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt X_2) Xa)) (tptp.hAPP_f664322981t_bool tptp.listre870705708le_alt R_1))))) (forall ((Xs_13 $$unsorted)) (=> (not (= Xs_13 tptp.nil_Ar1135217151le_alt)) (= (tptp.rotate184372300le_alt Xs_13) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.tl_Arr314474198le_alt Xs_13)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt (tptp.hd_Arr1814706386le_alt Xs_13)) tptp.nil_Ar1135217151le_alt))))) (forall ((A1 $$unsorted) (A2 $$unsorted) (R_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt A1) A2)) (tptp.hAPP_f664322981t_bool tptp.listre870705708le_alt R_1))) (or (and (= A1 tptp.nil_li7342420le_alt) (= A2 tptp.nil_li7342420le_alt)) (exists ((X_2 $$unsorted) (Y_1 $$unsorted) (Xs_9 $$unsorted) (Ys $$unsorted)) (and (= A1 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt X_2) Xs_9)) (= A2 (tptp.hAPP_l1425181461le_alt (tptp.hAPP_l1663319606le_alt tptp.cons_l882637220le_alt Y_1) Ys)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2) Y_1)) R_1)) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs_9) Ys)) (tptp.hAPP_f664322981t_bool tptp.listre870705708le_alt R_1)))))))) (forall ((A1 $$unsorted) (A2 $$unsorted) (R_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt A1) A2)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1))) (or (and (= A1 tptp.nil_Ar1135217151le_alt) (= A2 tptp.nil_Ar1135217151le_alt)) (exists ((X_2 $$unsorted) (Y_1 $$unsorted) (Xs_9 $$unsorted) (Ys $$unsorted)) (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_1) (= A1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) Xs_9)) (= A2 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_1) Ys)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_1)) R_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs_9) Ys)) (tptp.hAPP_f1681297285t_bool tptp.listre1769678631le_alt R_1)))))))) _let_6 (forall ((Xs $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.listre1062185049le_alt R_1))) (=> (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool R_1 X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool _let_1 Xs) Ys_1)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2) Ys_1))))))) (forall ((R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool (tptp.listre1062185049le_alt R_1) tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt))) (forall ((Ys_4 $$unsorted) (Xs_11 $$unsorted)) (let ((_let_1 (tptp.hd_Arr1814706386le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_11) Ys_4)))) (let ((_let_2 (= Xs_11 tptp.nil_Ar1135217151le_alt))) (and (=> _let_2 (= _let_1 (tptp.hd_Arr1814706386le_alt Ys_4))) (=> (not _let_2) (= _let_1 (tptp.hd_Arr1814706386le_alt Xs_11))))))) (forall ((Ys_3 $$unsorted) (Xs_10 $$unsorted)) (=> (not (= Xs_10 tptp.nil_Ar1135217151le_alt)) (= (tptp.hd_Arr1814706386le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_10) Ys_3)) (tptp.hd_Arr1814706386le_alt Xs_10)))) (forall ((Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.dropWh1165804960le_alt Pa Xs))) (=> (not (= _let_1 tptp.nil_Ar1135217151le_alt)) (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa (tptp.hd_Arr1814706386le_alt _let_1))))))) (forall ((R_1 $$unsorted) (A1 $$unsorted) (A2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool (tptp.listre1062185049le_alt R_1) A1) A2)) (or (and (= A1 tptp.nil_Ar1135217151le_alt) (= A2 tptp.nil_Ar1135217151le_alt)) (exists ((X_2 $$unsorted) (Y_1 $$unsorted) (Xs_9 $$unsorted) (Ys $$unsorted)) (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_1) (= A1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) Xs_9)) (= A2 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_1) Ys)) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool R_1 X_2) Y_1)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool (tptp.listre1062185049le_alt R_1) Xs_9) Ys))))))) (= tptp.equal_732151074le_alt tptp.fequal1028827333le_alt) (forall ((X_7 $$unsorted)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool tptp.equal_732151074le_alt X_7) X_7))) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool tptp.equal_732151074le_alt X_1) Y_2)) (= X_1 Y_2))) (= tptp.fequal1028827333le_alt tptp.equal_732151074le_alt) (forall ((Xs_8 $$unsorted)) (=> (not (= Xs_8 tptp.nil_Ar1135217151le_alt)) (= (tptp.last_A1066338328le_alt (tptp.rev_Ar955429983le_alt Xs_8)) (tptp.hd_Arr1814706386le_alt Xs_8)))) (forall ((Xs_7 $$unsorted)) (=> (not (= Xs_7 tptp.nil_Ar1135217151le_alt)) (= (tptp.hd_Arr1814706386le_alt (tptp.rev_Ar955429983le_alt Xs_7)) (tptp.last_A1066338328le_alt Xs_7)))) (forall ((I_3 $$unsorted) (X_6 $$unsorted)) (let ((_let_1 (tptp.replic1360561849le_alt I_3 X_6))) (let ((_let_2 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_6))) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt _let_1) (tptp.hAPP_l372964747le_alt _let_2 tptp.nil_Ar1135217151le_alt)) (tptp.hAPP_l372964747le_alt _let_2 _let_1))))) (forall ((Pa $$unsorted) (Xs $$unsorted)) (= (tptp.dropWh1165804960le_alt Pa Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_n344665784le_alt tptp.drop_A1195732799le_alt (tptp.size_s2106320494le_alt (tptp.takeWh1545314552le_alt Pa Xs))) Xs))) (forall ((N_6 $$unsorted) (Xs_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_n344665784le_alt tptp.drop_A1195732799le_alt N_6))) (= (tptp.butlas123970891le_alt (tptp.hAPP_l372964747le_alt _let_1 Xs_6)) (tptp.hAPP_l372964747le_alt _let_1 (tptp.butlas123970891le_alt Xs_6))))) (forall ((N_5 $$unsorted) (Xs_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_n344665784le_alt tptp.drop_A1195732799le_alt N_5))) (= (tptp.hAPP_l372964747le_alt _let_1 (tptp.butlas123970891le_alt Xs_5)) (tptp.butlas123970891le_alt (tptp.hAPP_l372964747le_alt _let_1 Xs_5))))) (forall ((N_4 $$unsorted)) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_n344665784le_alt tptp.drop_A1195732799le_alt N_4) tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt)) (forall ((I_2 $$unsorted) (Xs_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs_4)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_n344665784le_alt tptp.drop_A1195732799le_alt I_2) Xs_4))))) (forall ((Xs_3 $$unsorted) (Ys_2 $$unsorted)) (= (tptp.rev_Ar955429983le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs_3) Ys_2)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.rev_Ar955429983le_alt Ys_2)) (tptp.rev_Ar955429983le_alt Xs_3)))) (forall ((Xs $$unsorted)) (= (= (tptp.rev_Ar955429983le_alt Xs) tptp.nil_Ar1135217151le_alt) (= Xs tptp.nil_Ar1135217151le_alt))) (forall ((Xs $$unsorted)) (= (= tptp.nil_Ar1135217151le_alt (tptp.rev_Ar955429983le_alt Xs)) (= Xs tptp.nil_Ar1135217151le_alt))) (= (tptp.rev_Ar955429983le_alt tptp.nil_Ar1135217151le_alt) tptp.nil_Ar1135217151le_alt) (forall ((N_3 $$unsorted) (X_5 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.replic1360561849le_alt N_3 X_5))) (let ((_let_2 (tptp.replic1360561849le_alt K_1 X_5))) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt _let_1) _let_2) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt _let_2) _let_1))))) (forall ((Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt (tptp.rev_Ar955429983le_alt Xs))) (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs)))) (forall ((Xs $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) tptp.nil_Ar1135217151le_alt))) (= (= (tptp.rev_Ar955429983le_alt Xs) _let_1) (= Xs _let_1)))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) tptp.nil_Ar1135217151le_alt))) (= (= _let_1 (tptp.rev_Ar955429983le_alt Xs)) (= Xs _let_1)))) (forall ((N_2 $$unsorted) (X_4 $$unsorted) (Xs_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.replic1360561849le_alt N_2 X_4)))) (let ((_let_2 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_4))) (= (tptp.hAPP_l372964747le_alt _let_1 (tptp.hAPP_l372964747le_alt _let_2 Xs_2)) (tptp.hAPP_l372964747le_alt _let_2 (tptp.hAPP_l372964747le_alt _let_1 Xs_2)))))) (forall ((X_3 $$unsorted) (Xs_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_3))) (= (tptp.rev_Ar955429983le_alt (tptp.hAPP_l372964747le_alt _let_1 Xs_1)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.rev_Ar955429983le_alt Xs_1)) (tptp.hAPP_l372964747le_alt _let_1 tptp.nil_Ar1135217151le_alt))))) (forall ((Xs $$unsorted) (Y_2 $$unsorted) (Ys_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt Y_2))) (= (= (tptp.rev_Ar955429983le_alt Xs) (tptp.hAPP_l372964747le_alt _let_1 Ys_1)) (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.rev_Ar955429983le_alt Ys_1)) (tptp.hAPP_l372964747le_alt _let_1 tptp.nil_Ar1135217151le_alt)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f246757773t_bool (tptp.hAPP_f1211148133t_bool tptp.cOMBB_966447723le_alt tptp.fNot) (tptp.hAPP_A1781286015t_bool (tptp.hAPP_f271508829t_bool tptp.cOMBC_2032358938t_bool tptp.fequal21574094le_alt) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) (tptp.set_Ar426477344le_alt Xs))) (= (tptp.takeWh1545314552le_alt _let_1 (tptp.rev_Ar955429983le_alt Xs)) (tptp.rev_Ar955429983le_alt (tptp.tl_Arr314474198le_alt (tptp.dropWh1165804960le_alt _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f2073680917t_bool (tptp.hAPP_f2036795507t_bool tptp.cOMBB_1957338939le_alt tptp.fNot) (tptp.hAPP_P1133336895t_bool (tptp.hAPP_f1542885353t_bool tptp.cOMBC_1094121654t_bool tptp.fequal1025934616le_alt) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l1642116416t_bool tptp.distin1906002420le_alt Xs)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) (tptp.set_Pr1756729158le_alt Xs))) (= (tptp.takeWh768831342le_alt _let_1 (tptp.rev_Pr816629831le_alt Xs)) (tptp.rev_Pr816629831le_alt (tptp.tl_Pro645285392le_alt (tptp.dropWh1957015750le_alt _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1282033109i_bool (tptp.hAPP_f1765349427i_bool tptp.cOMBB_1957128648e_indi tptp.fNot) (tptp.hAPP_A1609075839i_bool (tptp.hAPP_f791932009i_bool tptp.cOMBC_553632464i_bool tptp.fequal2012472101e_indi) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l479254477i_bool tptp.distin26300929e_indi Xs)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) (tptp.set_Ar1035526739e_indi Xs))) (= (tptp.takeWh1088896635e_indi _let_1 (tptp.rev_Ar758908116e_indi Xs)) (tptp.rev_Ar758908116e_indi (tptp.tl_Arr282712093e_indi (tptp.dropWh1417102291e_indi _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (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_1)))) (=> (tptp.hBOOL (tptp.hAPP_list_bool_bool tptp.distinct_bool Xs)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs))) (= (tptp.takeWhile_bool _let_1 (tptp.rev_bool Xs)) (tptp.rev_bool (tptp.tl_bool (tptp.dropWhile_bool _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1028172757l_bool (tptp.hAPP_f920654899l_bool tptp.cOMBB_410960200t_bool tptp.fNot) (tptp.hAPP_f656614015l_bool (tptp.hAPP_f1031027817l_bool tptp.cOMBC_921123792l_bool tptp.fequal547890341t_bool) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l1936415565l_bool tptp.distin943033217t_bool Xs)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) (tptp.set_fu1433968595t_bool Xs))) (= (tptp.takeWh1268567035t_bool _let_1 (tptp.rev_fu580432980t_bool Xs)) (tptp.rev_fu580432980t_bool (tptp.tl_fun1512606109t_bool (tptp.dropWh1122107731t_bool _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f574392641l_bool (tptp.hAPP_f2007076633l_bool tptp.cOMBB_1517321413t_bool tptp.fNot) (tptp.hAPP_f1344932147l_bool (tptp.hAPP_f574303429l_bool tptp.cOMBC_906425754l_bool tptp.fequal318101288t_bool) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l1684828478l_bool tptp.distin751056204t_bool Xs)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs))) (= (tptp.takeWh572506194t_bool _let_1 (tptp.rev_fu101184185t_bool Xs)) (tptp.rev_fu101184185t_bool (tptp.tl_fun1131179056t_bool (tptp.dropWh193383674t_bool _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f189058133l_bool (tptp.hAPP_f2048491699l_bool tptp.cOMBB_1376111258t_bool tptp.fNot) (tptp.hAPP_f1901083135l_bool (tptp.hAPP_f576161641l_bool tptp.cOMBC_1887456628l_bool tptp.fequal1289369847t_bool) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l4338847l_bool tptp.distin526492627t_bool Xs)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs))) (= (tptp.takeWh1813199437t_bool _let_1 (tptp.rev_fu313987494t_bool Xs)) (tptp.rev_fu313987494t_bool (tptp.tl_fun542205423t_bool (tptp.dropWh2056378277t_bool _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f137597973t_bool (tptp.hAPP_f2063770867t_bool tptp.cOMBB_1860605643le_alt tptp.fNot) (tptp.hAPP_P1999019327t_bool (tptp.hAPP_f1381403369t_bool tptp.cOMBC_518322134t_bool tptp.fequal1881358376le_alt) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l548550096t_bool tptp.distin135982852le_alt Xs)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs))) (= (tptp.takeWh808795006le_alt _let_1 (tptp.rev_Pr1722970583le_alt Xs)) (tptp.rev_Pr1722970583le_alt (tptp.tl_Pro1439282464le_alt (tptp.dropWh1186971862le_alt _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f246757773t_bool (tptp.hAPP_f1211148133t_bool tptp.cOMBB_966447723le_alt tptp.fNot) (tptp.hAPP_A1781286015t_bool (tptp.hAPP_f271508829t_bool tptp.cOMBC_2032358938t_bool tptp.fequal21574094le_alt) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l300482276t_bool tptp.distin85347314le_alt Xs)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) (tptp.set_Ar426477344le_alt Xs))) (= (tptp.dropWh1165804960le_alt _let_1 (tptp.rev_Ar955429983le_alt Xs)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) (tptp.rev_Ar955429983le_alt (tptp.takeWh1545314552le_alt _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f2073680917t_bool (tptp.hAPP_f2036795507t_bool tptp.cOMBB_1957338939le_alt tptp.fNot) (tptp.hAPP_P1133336895t_bool (tptp.hAPP_f1542885353t_bool tptp.cOMBC_1094121654t_bool tptp.fequal1025934616le_alt) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l1642116416t_bool tptp.distin1906002420le_alt Xs)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) (tptp.set_Pr1756729158le_alt Xs))) (= (tptp.dropWh1957015750le_alt _let_1 (tptp.rev_Pr816629831le_alt Xs)) (tptp.hAPP_l182884309le_alt (tptp.hAPP_P469465955le_alt tptp.cons_P1245424375le_alt X_1) (tptp.rev_Pr816629831le_alt (tptp.takeWh768831342le_alt _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1282033109i_bool (tptp.hAPP_f1765349427i_bool tptp.cOMBB_1957128648e_indi tptp.fNot) (tptp.hAPP_A1609075839i_bool (tptp.hAPP_f791932009i_bool tptp.cOMBC_553632464i_bool tptp.fequal2012472101e_indi) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l479254477i_bool tptp.distin26300929e_indi Xs)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) (tptp.set_Ar1035526739e_indi Xs))) (= (tptp.dropWh1417102291e_indi _let_1 (tptp.rev_Ar758908116e_indi Xs)) (tptp.hAPP_l1557274901e_indi (tptp.hAPP_A273991894e_indi tptp.cons_A920022916e_indi X_1) (tptp.rev_Ar758908116e_indi (tptp.takeWh1088896635e_indi _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (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_1)))) (=> (tptp.hBOOL (tptp.hAPP_list_bool_bool tptp.distinct_bool Xs)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs))) (= (tptp.dropWhile_bool _let_1 (tptp.rev_bool Xs)) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_1) (tptp.rev_bool (tptp.takeWhile_bool _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1028172757l_bool (tptp.hAPP_f920654899l_bool tptp.cOMBB_410960200t_bool tptp.fNot) (tptp.hAPP_f656614015l_bool (tptp.hAPP_f1031027817l_bool tptp.cOMBC_921123792l_bool tptp.fequal547890341t_bool) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l1936415565l_bool tptp.distin943033217t_bool Xs)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) (tptp.set_fu1433968595t_bool Xs))) (= (tptp.dropWh1122107731t_bool _let_1 (tptp.rev_fu580432980t_bool Xs)) (tptp.hAPP_l1149974805t_bool (tptp.hAPP_f597269334t_bool tptp.cons_f1113423620t_bool X_1) (tptp.rev_fu580432980t_bool (tptp.takeWh1268567035t_bool _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f574392641l_bool (tptp.hAPP_f2007076633l_bool tptp.cOMBB_1517321413t_bool tptp.fNot) (tptp.hAPP_f1344932147l_bool (tptp.hAPP_f574303429l_bool tptp.cOMBC_906425754l_bool tptp.fequal318101288t_bool) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l1684828478l_bool tptp.distin751056204t_bool Xs)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs))) (= (tptp.dropWh193383674t_bool _let_1 (tptp.rev_fu101184185t_bool Xs)) (tptp.hAPP_l342779967t_bool (tptp.hAPP_f1916337549t_bool tptp.cons_f476294153t_bool X_1) (tptp.rev_fu101184185t_bool (tptp.takeWh572506194t_bool _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f189058133l_bool (tptp.hAPP_f2048491699l_bool tptp.cOMBB_1376111258t_bool tptp.fNot) (tptp.hAPP_f1901083135l_bool (tptp.hAPP_f576161641l_bool tptp.cOMBC_1887456628l_bool tptp.fequal1289369847t_bool) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l4338847l_bool tptp.distin526492627t_bool Xs)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs))) (= (tptp.dropWh2056378277t_bool _let_1 (tptp.rev_fu313987494t_bool Xs)) (tptp.hAPP_l1130749077t_bool (tptp.hAPP_f1337535236t_bool tptp.cons_f160345174t_bool X_1) (tptp.rev_fu313987494t_bool (tptp.takeWh1813199437t_bool _let_1 Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f137597973t_bool (tptp.hAPP_f2063770867t_bool tptp.cOMBB_1860605643le_alt tptp.fNot) (tptp.hAPP_P1999019327t_bool (tptp.hAPP_f1381403369t_bool tptp.cOMBC_518322134t_bool tptp.fequal1881358376le_alt) X_1)))) (=> (tptp.hBOOL (tptp.hAPP_l548550096t_bool tptp.distin135982852le_alt Xs)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs))) (= (tptp.dropWh1186971862le_alt _let_1 (tptp.rev_Pr1722970583le_alt Xs)) (tptp.hAPP_l850073941le_alt (tptp.hAPP_P465197523le_alt tptp.cons_P272751751le_alt X_1) (tptp.rev_Pr1722970583le_alt (tptp.takeWh808795006le_alt _let_1 Xs)))))))) (forall ((N $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs))) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_n344665784le_alt tptp.drop_A1195732799le_alt N) _let_1) (tptp.nat_ca247420624le_alt _let_1 (tptp.hAPP_l1244209582le_alt (tptp.hAPP_f1660378693le_alt tptp.cOMBC_1158490499le_alt tptp.drop_A1195732799le_alt) Xs) N)))) (forall ((Xs $$unsorted)) (= (tptp.rev_Ar955429983le_alt Xs) (tptp.foldl_107212092le_alt (tptp.hAPP_f18365135le_alt tptp.cOMBC_1169281096le_alt tptp.cons_A77766063le_alt) tptp.nil_Ar1135217151le_alt Xs))) (forall ((X_1 $$unsorted) (N $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_n344665784le_alt tptp.drop_A1195732799le_alt N) Xs)))) (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt Xs)))))) (forall ((X_1 $$unsorted) (N $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt (tptp.hAPP_l182884309le_alt (tptp.hAPP_n323901960le_alt tptp.drop_P635442535le_alt N) Xs)))) (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt Xs)))))) (forall ((X_1 $$unsorted) (N $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi (tptp.hAPP_l1557274901e_indi (tptp.hAPP_n568645704e_indi tptp.drop_A1853358580e_indi N) Xs)))) (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi Xs)))))) (forall ((X_1 $$unsorted) (N $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_n479129736t_bool tptp.drop_bool N) Xs)))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs)))))) (forall ((X_1 $$unsorted) (N $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool (tptp.hAPP_l1149974805t_bool (tptp.hAPP_n587545160t_bool tptp.drop_f1274868084t_bool N) Xs)))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool Xs)))))) (forall ((X_1 $$unsorted) (N $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool (tptp.hAPP_l342779967t_bool (tptp.hAPP_n2058955628t_bool tptp.drop_f1849462169t_bool N) Xs)))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool Xs)))))) (forall ((X_1 $$unsorted) (N $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool (tptp.hAPP_l1130749077t_bool (tptp.hAPP_n2099236808t_bool tptp.drop_f1584869062t_bool N) Xs)))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool Xs)))))) (forall ((X_1 $$unsorted) (N $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt (tptp.hAPP_l850073941le_alt (tptp.hAPP_n2100915976le_alt tptp.drop_P1440509687le_alt N) Xs)))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt Xs)))))) (forall ((X_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt (tptp.takeWh1545314552le_alt Pa Xs)))) (and (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt Xs))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_1)))))) (forall ((X_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt (tptp.takeWh768831342le_alt Pa Xs)))) (and (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt Xs))) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa X_1)))))) (forall ((X_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi (tptp.takeWh1088896635e_indi Pa Xs)))) (and (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi Xs))) (tptp.hBOOL (tptp.hAPP_A416869060i_bool Pa X_1)))))) (forall ((X_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.takeWhile_bool Pa Xs)))) (and (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs))) (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_1)))))) (forall ((X_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool (tptp.takeWh1268567035t_bool Pa Xs)))) (and (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f446648900l_bool Pa X_1)))))) (forall ((X_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool (tptp.takeWh572506194t_bool Pa Xs)))) (and (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool Pa X_1)))))) (forall ((X_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool (tptp.takeWh1813199437t_bool Pa Xs)))) (and (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f1378099862l_bool Pa X_1)))))) (forall ((X_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt (tptp.takeWh808795006le_alt Pa Xs)))) (and (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt Xs))) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa X_1)))))) (forall ((Pa $$unsorted) (Xs $$unsorted)) (= (= (tptp.takeWh1545314552le_alt Pa Xs) Xs) (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) (tptp.set_Ar426477344le_alt Xs))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_2))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt (tptp.butlas123970891le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt Xs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt (tptp.butlas1808913499le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt Xs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi (tptp.butlas1811107560e_indi Xs)))) (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi Xs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.butlast_bool Xs)))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool (tptp.butlas423814760t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool Xs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool (tptp.butlas217264037t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool Xs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool (tptp.butlas813551546t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool Xs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt (tptp.butlas1168145387le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt Xs)))))) (forall ((Y_2 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt Y_2))) (=> (and (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt X_1)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)))) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt Xs)))))))) (forall ((Y_2 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt (tptp.hAPP_l182884309le_alt (tptp.hAPP_P469465955le_alt tptp.cons_P1245424375le_alt X_1) Xs)))) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt Xs))))))) (forall ((Y_2 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Y_2))) (=> (and (tptp.is_Arr859726945e_indi Y_2) (tptp.is_Arr859726945e_indi X_1)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi (tptp.hAPP_l1557274901e_indi (tptp.hAPP_A273991894e_indi tptp.cons_A920022916e_indi X_1) Xs)))) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi Xs)))))))) (forall ((Y_2 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool Y_2))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_1) Xs)))) (or (= (tptp.hBOOL Y_2) (tptp.hBOOL X_1)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool Xs))))))) (forall ((Y_2 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool Y_2))) (=> (and (tptp.is_fun48324065t_bool Y_2) (tptp.is_fun48324065t_bool X_1)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool (tptp.hAPP_l1149974805t_bool (tptp.hAPP_f597269334t_bool tptp.cons_f1113423620t_bool X_1) Xs)))) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool Xs)))))))) (forall ((Y_2 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool Y_2))) (=> (and (tptp.is_fun20916972t_bool Y_2) (tptp.is_fun20916972t_bool X_1)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool (tptp.hAPP_l342779967t_bool (tptp.hAPP_f1916337549t_bool tptp.cons_f476294153t_bool X_1) Xs)))) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool Xs)))))))) (forall ((Y_2 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Y_2))) (=> (and (tptp.is_fun1264457267t_bool Y_2) (tptp.is_fun1264457267t_bool X_1)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool (tptp.hAPP_l1130749077t_bool (tptp.hAPP_f1337535236t_bool tptp.cons_f160345174t_bool X_1) Xs)))) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool Xs)))))))) (forall ((Y_2 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt Y_2))) (=> (and (tptp.is_Pro1004667236le_alt Y_2) (tptp.is_Pro1004667236le_alt X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt (tptp.hAPP_l850073941le_alt (tptp.hAPP_P465197523le_alt tptp.cons_P272751751le_alt X_1) Xs)))) (or (= Y_2 X_1) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt Xs)))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) (tptp.set_Ar426477344le_alt Xs))) (= (tptp.insert1969589781le_alt X_1 Xs) Xs))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) (tptp.set_Pr1756729158le_alt Xs))) (= (tptp.insert531176721le_alt X_1 Xs) Xs))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) (tptp.set_Ar1035526739e_indi Xs))) (= (tptp.insert1731565726e_indi X_1 Xs) Xs))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs))) (= (tptp.insert_bool X_1 Xs) Xs))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) (tptp.set_fu1433968595t_bool Xs))) (= (tptp.insert897399838t_bool X_1 Xs) Xs))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs))) (= (tptp.insert1409495663t_bool X_1 Xs) Xs))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs))) (= (tptp.insert22093680t_bool X_1 Xs) Xs))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs))) (= (tptp.insert1683711393le_alt X_1 Xs) Xs))) _let_5 (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l1642116416t_bool tptp.distin1906002420le_alt (tptp.hAPP_l182884309le_alt (tptp.hAPP_P469465955le_alt tptp.cons_P1245424375le_alt X_1) Xs))) (and (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) (tptp.set_Pr1756729158le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_l1642116416t_bool tptp.distin1906002420le_alt Xs))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l479254477i_bool tptp.distin26300929e_indi (tptp.hAPP_l1557274901e_indi (tptp.hAPP_A273991894e_indi tptp.cons_A920022916e_indi X_1) Xs))) (and (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) (tptp.set_Ar1035526739e_indi Xs)))) (tptp.hBOOL (tptp.hAPP_l479254477i_bool tptp.distin26300929e_indi Xs))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_list_bool_bool tptp.distinct_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_1) Xs))) (and (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs)))) (tptp.hBOOL (tptp.hAPP_list_bool_bool tptp.distinct_bool Xs))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l1936415565l_bool tptp.distin943033217t_bool (tptp.hAPP_l1149974805t_bool (tptp.hAPP_f597269334t_bool tptp.cons_f1113423620t_bool X_1) Xs))) (and (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) (tptp.set_fu1433968595t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_l1936415565l_bool tptp.distin943033217t_bool Xs))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l1684828478l_bool tptp.distin751056204t_bool (tptp.hAPP_l342779967t_bool (tptp.hAPP_f1916337549t_bool tptp.cons_f476294153t_bool X_1) Xs))) (and (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_l1684828478l_bool tptp.distin751056204t_bool Xs))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l4338847l_bool tptp.distin526492627t_bool (tptp.hAPP_l1130749077t_bool (tptp.hAPP_f1337535236t_bool tptp.cons_f160345174t_bool X_1) Xs))) (and (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_l4338847l_bool tptp.distin526492627t_bool Xs))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_l548550096t_bool tptp.distin135982852le_alt (tptp.hAPP_l850073941le_alt (tptp.hAPP_P465197523le_alt tptp.cons_P272751751le_alt X_1) Xs))) (and (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_l548550096t_bool tptp.distin135982852le_alt Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) (tptp.set_Ar426477344le_alt Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_1))) (= (tptp.takeWh1545314552le_alt Pa (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1)) (tptp.takeWh1545314552le_alt Pa Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) (tptp.set_Pr1756729158le_alt Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa X_1))) (= (tptp.takeWh768831342le_alt Pa (tptp.hAPP_l182884309le_alt (tptp.hAPP_l2076130586le_alt tptp.append1768277586le_alt Xs) Ys_1)) (tptp.takeWh768831342le_alt Pa Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) (tptp.set_Ar1035526739e_indi Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_A416869060i_bool Pa X_1))) (= (tptp.takeWh1088896635e_indi Pa (tptp.hAPP_l1557274901e_indi (tptp.hAPP_l203258125e_indi tptp.append968919903e_indi Xs) Ys_1)) (tptp.takeWh1088896635e_indi Pa Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_1))) (= (tptp.takeWhile_bool Pa (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs) Ys_1)) (tptp.takeWhile_bool Pa Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) (tptp.set_fu1433968595t_bool Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_f446648900l_bool Pa X_1))) (= (tptp.takeWh1268567035t_bool Pa (tptp.hAPP_l1149974805t_bool (tptp.hAPP_l1032792973t_bool tptp.append1480696031t_bool Xs) Ys_1)) (tptp.takeWh1268567035t_bool Pa Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool Pa X_1))) (= (tptp.takeWh572506194t_bool Pa (tptp.hAPP_l342779967t_bool (tptp.hAPP_l1392153600t_bool tptp.append2131097198t_bool Xs) Ys_1)) (tptp.takeWh572506194t_bool Pa Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_f1378099862l_bool Pa X_1))) (= (tptp.takeWh1813199437t_bool Pa (tptp.hAPP_l1130749077t_bool (tptp.hAPP_l1438053435t_bool tptp.append352340785t_bool Xs) Ys_1)) (tptp.takeWh1813199437t_bool Pa Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa X_1))) (= (tptp.takeWh808795006le_alt Pa (tptp.hAPP_l850073941le_alt (tptp.hAPP_l595508106le_alt tptp.append1735936098le_alt Xs) Ys_1)) (tptp.takeWh808795006le_alt Pa Xs))))) _let_4 (forall ((As $$unsorted)) (=> (not (= As tptp.nil_Pr1710246567le_alt)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.last_P1076199502le_alt As)) (tptp.set_Pr1756729158le_alt As))))) (forall ((As $$unsorted)) (=> (not (= As tptp.nil_Ar637146932e_indi)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.last_A560832347e_indi As)) (tptp.set_Ar1035526739e_indi As))))) (forall ((As $$unsorted)) (=> (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 $$unsorted)) (=> (not (= As tptp.nil_fu1180010164t_bool)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.last_f584510683t_bool As)) (tptp.set_fu1433968595t_bool As))))) (forall ((As $$unsorted)) (=> (not (= As tptp.nil_fu1714546777t_bool)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.last_f1172522866t_bool As)) (tptp.set_fu444796538t_bool As))))) (forall ((As $$unsorted)) (=> (not (= As tptp.nil_fu247759878t_bool)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.last_f1921219373t_bool As)) (tptp.set_fu222164517t_bool As))))) (forall ((As $$unsorted)) (=> (not (= As tptp.nil_Pr1368032311le_alt)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.last_P15572062le_alt As)) (tptp.set_Pr2031705942le_alt As))))) (forall ((Pa $$unsorted) (Xs $$unsorted)) (= (= (tptp.dropWh1165804960le_alt Pa Xs) tptp.nil_Ar1135217151le_alt) (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) (tptp.set_Ar426477344le_alt Xs))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_2))))))) (forall ((Ys_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1))) (=> (or (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt (tptp.butlas123970891le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt (tptp.butlas123970891le_alt Ys_1))))) (tptp.hBOOL (tptp.hAPP_f87553445l_bool _let_1 (tptp.set_Ar426477344le_alt (tptp.butlas123970891le_alt (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1)))))))) (forall ((Ys_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1))) (=> (or (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt (tptp.butlas1808913499le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt (tptp.butlas1808913499le_alt Ys_1))))) (tptp.hBOOL (tptp.hAPP_f890578273l_bool _let_1 (tptp.set_Pr1756729158le_alt (tptp.butlas1808913499le_alt (tptp.hAPP_l182884309le_alt (tptp.hAPP_l2076130586le_alt tptp.append1768277586le_alt Xs) Ys_1)))))))) (forall ((Ys_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1))) (=> (or (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi (tptp.butlas1811107560e_indi Xs)))) (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi (tptp.butlas1811107560e_indi Ys_1))))) (tptp.hBOOL (tptp.hAPP_f160177134l_bool _let_1 (tptp.set_Ar1035526739e_indi (tptp.butlas1811107560e_indi (tptp.hAPP_l1557274901e_indi (tptp.hAPP_l203258125e_indi tptp.append968919903e_indi Xs) Ys_1)))))))) (forall ((Ys_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1))) (=> (or (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.butlast_bool Xs)))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.butlast_bool Ys_1))))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 (tptp.set_bool (tptp.butlast_bool (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs) Ys_1)))))))) (forall ((Ys_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1))) (=> (or (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool (tptp.butlas423814760t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool (tptp.butlas423814760t_bool Ys_1))))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool _let_1 (tptp.set_fu1433968595t_bool (tptp.butlas423814760t_bool (tptp.hAPP_l1149974805t_bool (tptp.hAPP_l1032792973t_bool tptp.append1480696031t_bool Xs) Ys_1)))))))) (forall ((Ys_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1))) (=> (or (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool (tptp.butlas217264037t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool (tptp.butlas217264037t_bool Ys_1))))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool _let_1 (tptp.set_fu444796538t_bool (tptp.butlas217264037t_bool (tptp.hAPP_l342779967t_bool (tptp.hAPP_l1392153600t_bool tptp.append2131097198t_bool Xs) Ys_1)))))))) (forall ((Ys_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1))) (=> (or (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool (tptp.butlas813551546t_bool Xs)))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool (tptp.butlas813551546t_bool Ys_1))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool _let_1 (tptp.set_fu222164517t_bool (tptp.butlas813551546t_bool (tptp.hAPP_l1130749077t_bool (tptp.hAPP_l1438053435t_bool tptp.append352340785t_bool Xs) Ys_1)))))))) (forall ((Ys_1 $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1))) (=> (or (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt (tptp.butlas1168145387le_alt Xs)))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt (tptp.butlas1168145387le_alt Ys_1))))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool _let_1 (tptp.set_Pr2031705942le_alt (tptp.butlas1168145387le_alt (tptp.hAPP_l850073941le_alt (tptp.hAPP_l595508106le_alt tptp.append1735936098le_alt Xs) Ys_1)))))))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_Ar1135217151le_alt)) (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt (tptp.hd_Arr1814706386le_alt Xs)) (tptp.set_Ar426477344le_alt Xs))))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_Pr1710246567le_alt)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hd_Pro53798164le_alt Xs)) (tptp.set_Pr1756729158le_alt Xs))))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_Ar637146932e_indi)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hd_Arr1280875809e_indi Xs)) (tptp.set_Ar1035526739e_indi Xs))))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_bool)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hd_bool Xs)) (tptp.set_bool Xs))))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_fu1180010164t_bool)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hd_fun1289819809t_bool Xs)) (tptp.set_fu1433968595t_bool Xs))))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_fu1714546777t_bool)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hd_fun1937506860t_bool Xs)) (tptp.set_fu444796538t_bool Xs))))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_fu247759878t_bool)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hd_fun780865267t_bool Xs)) (tptp.set_fu222164517t_bool Xs))))) (forall ((Xs $$unsorted)) (=> (not (= Xs tptp.nil_Pr1368032311le_alt)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hd_Pro804272676le_alt Xs)) (tptp.set_Pr2031705942le_alt Xs))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) (tptp.set_Ar426477344le_alt Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_1))) (= (tptp.dropWh1165804960le_alt Pa (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1)) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt (tptp.dropWh1165804960le_alt Pa Xs)) Ys_1))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) (tptp.set_Pr1756729158le_alt Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa X_1))) (= (tptp.dropWh1957015750le_alt Pa (tptp.hAPP_l182884309le_alt (tptp.hAPP_l2076130586le_alt tptp.append1768277586le_alt Xs) Ys_1)) (tptp.hAPP_l182884309le_alt (tptp.hAPP_l2076130586le_alt tptp.append1768277586le_alt (tptp.dropWh1957015750le_alt Pa Xs)) Ys_1))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) (tptp.set_Ar1035526739e_indi Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_A416869060i_bool Pa X_1))) (= (tptp.dropWh1417102291e_indi Pa (tptp.hAPP_l1557274901e_indi (tptp.hAPP_l203258125e_indi tptp.append968919903e_indi Xs) Ys_1)) (tptp.hAPP_l1557274901e_indi (tptp.hAPP_l203258125e_indi tptp.append968919903e_indi (tptp.dropWh1417102291e_indi Pa Xs)) Ys_1))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_1))) (= (tptp.dropWhile_bool Pa (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs) Ys_1)) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool (tptp.dropWhile_bool Pa Xs)) Ys_1))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) (tptp.set_fu1433968595t_bool Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_f446648900l_bool Pa X_1))) (= (tptp.dropWh1122107731t_bool Pa (tptp.hAPP_l1149974805t_bool (tptp.hAPP_l1032792973t_bool tptp.append1480696031t_bool Xs) Ys_1)) (tptp.hAPP_l1149974805t_bool (tptp.hAPP_l1032792973t_bool tptp.append1480696031t_bool (tptp.dropWh1122107731t_bool Pa Xs)) Ys_1))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool Pa X_1))) (= (tptp.dropWh193383674t_bool Pa (tptp.hAPP_l342779967t_bool (tptp.hAPP_l1392153600t_bool tptp.append2131097198t_bool Xs) Ys_1)) (tptp.hAPP_l342779967t_bool (tptp.hAPP_l1392153600t_bool tptp.append2131097198t_bool (tptp.dropWh193383674t_bool Pa Xs)) Ys_1))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_f1378099862l_bool Pa X_1))) (= (tptp.dropWh2056378277t_bool Pa (tptp.hAPP_l1130749077t_bool (tptp.hAPP_l1438053435t_bool tptp.append352340785t_bool Xs) Ys_1)) (tptp.hAPP_l1130749077t_bool (tptp.hAPP_l1438053435t_bool tptp.append352340785t_bool (tptp.dropWh2056378277t_bool Pa Xs)) Ys_1))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Xs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs))) (=> (not (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa X_1))) (= (tptp.dropWh1186971862le_alt Pa (tptp.hAPP_l850073941le_alt (tptp.hAPP_l595508106le_alt tptp.append1735936098le_alt Xs) Ys_1)) (tptp.hAPP_l850073941le_alt (tptp.hAPP_l595508106le_alt tptp.append1735936098le_alt (tptp.dropWh1186971862le_alt Pa Xs)) Ys_1))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.insert1969589781le_alt X_1 Xs))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) (tptp.set_Ar426477344le_alt Xs))))) (and (=> _let_2 (= _let_1 Xs)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.insert531176721le_alt X_1 Xs))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) (tptp.set_Pr1756729158le_alt Xs))))) (and (=> _let_2 (= _let_1 Xs)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l182884309le_alt (tptp.hAPP_P469465955le_alt tptp.cons_P1245424375le_alt X_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.insert1731565726e_indi X_1 Xs))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) (tptp.set_Ar1035526739e_indi Xs))))) (and (=> _let_2 (= _let_1 Xs)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l1557274901e_indi (tptp.hAPP_A273991894e_indi tptp.cons_A920022916e_indi X_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.insert_bool X_1 Xs))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs))))) (and (=> _let_2 (= _let_1 Xs)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.insert897399838t_bool X_1 Xs))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) (tptp.set_fu1433968595t_bool Xs))))) (and (=> _let_2 (= _let_1 Xs)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l1149974805t_bool (tptp.hAPP_f597269334t_bool tptp.cons_f1113423620t_bool X_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.insert1409495663t_bool X_1 Xs))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs))))) (and (=> _let_2 (= _let_1 Xs)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l342779967t_bool (tptp.hAPP_f1916337549t_bool tptp.cons_f476294153t_bool X_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.insert22093680t_bool X_1 Xs))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs))))) (and (=> _let_2 (= _let_1 Xs)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l1130749077t_bool (tptp.hAPP_f1337535236t_bool tptp.cons_f160345174t_bool X_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.insert1683711393le_alt X_1 Xs))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs))))) (and (=> _let_2 (= _let_1 Xs)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l850073941le_alt (tptp.hAPP_P465197523le_alt tptp.cons_P272751751le_alt X_1) Xs))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_1) (tptp.set_Ar426477344le_alt Xs)))) (= (tptp.insert1969589781le_alt X_1 Xs) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_1) Xs)))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_1) (tptp.set_Pr1756729158le_alt Xs)))) (= (tptp.insert531176721le_alt X_1 Xs) (tptp.hAPP_l182884309le_alt (tptp.hAPP_P469465955le_alt tptp.cons_P1245424375le_alt X_1) Xs)))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) (tptp.set_Ar1035526739e_indi Xs)))) (= (tptp.insert1731565726e_indi X_1 Xs) (tptp.hAPP_l1557274901e_indi (tptp.hAPP_A273991894e_indi tptp.cons_A920022916e_indi X_1) Xs)))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) (tptp.set_bool Xs)))) (= (tptp.insert_bool X_1 Xs) (tptp.hAPP_l1189022293t_bool (tptp.hAPP_b994696797t_bool tptp.cons_bool X_1) Xs)))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) (tptp.set_fu1433968595t_bool Xs)))) (= (tptp.insert897399838t_bool X_1 Xs) (tptp.hAPP_l1149974805t_bool (tptp.hAPP_f597269334t_bool tptp.cons_f1113423620t_bool X_1) Xs)))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs)))) (= (tptp.insert1409495663t_bool X_1 Xs) (tptp.hAPP_l342779967t_bool (tptp.hAPP_f1916337549t_bool tptp.cons_f476294153t_bool X_1) Xs)))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs)))) (= (tptp.insert22093680t_bool X_1 Xs) (tptp.hAPP_l1130749077t_bool (tptp.hAPP_f1337535236t_bool tptp.cons_f160345174t_bool X_1) Xs)))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs)))) (= (tptp.insert1683711393le_alt X_1 Xs) (tptp.hAPP_l850073941le_alt (tptp.hAPP_P465197523le_alt tptp.cons_P272751751le_alt X_1) Xs)))) (forall ((Pa $$unsorted) (Xs $$unsorted) (Yes $$unsorted) (No $$unsorted)) (=> (= (tptp.partit1336600824le_alt Pa Xs) (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Yes) No)) (and (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) (tptp.set_Ar426477344le_alt Yes))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_2)))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) (tptp.set_Ar426477344le_alt No))) (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_2)))))))) (forall ((Zs_1 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1681297285t_bool tptp.lexord807118444le_alt R_1))) (let ((_let_2 (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2))) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_1) (tptp.is_Arr723427730le_alt Z)) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) (tptp.set_Ar426477344le_alt Xs))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_1 Y_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Y_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt _let_1 Z)) R_1)))))))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f664322981t_bool tptp.lexord717456039le_alt R_1))) (let ((_let_2 (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1472889102l_bool (tptp.hAPP_l1197505987l_bool tptp.member1245674225le_alt X_2) (tptp.set_li1879521523le_alt Xs))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt _let_1 Y_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt (tptp.hAPP_l1148780281le_alt tptp.produc2031778509le_alt Y_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt (tptp.hAPP_l591780830le_alt _let_1 Z)) R_1))))))) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt (tptp.hAPP_l400262709le_alt tptp.produc1707341143le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f2099712241l_bool (tptp.hAPP_P142941065l_bool tptp.member694465108le_alt (tptp.hAPP_l2112442743le_alt _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f304790207t_bool tptp.lexord170366202le_alt R_1))) (let ((_let_2 (tptp.hAPP_l1615793307le_alt tptp.produc499297815le_alt Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_P1109943007le_alt tptp.produc218110963le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) (tptp.set_Pr1756729158le_alt Xs))) (=> (tptp.hBOOL (tptp.hAPP_f704486919l_bool (tptp.hAPP_P1992806581l_bool tptp.member985525226le_alt (tptp.hAPP_P937918807le_alt _let_1 Y_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f704486919l_bool (tptp.hAPP_P1992806581l_bool tptp.member985525226le_alt (tptp.hAPP_P937918807le_alt (tptp.hAPP_P1109943007le_alt tptp.produc218110963le_alt Y_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f704486919l_bool (tptp.hAPP_P1992806581l_bool tptp.member985525226le_alt (tptp.hAPP_P937918807le_alt _let_1 Z)) R_1))))))) (=> (tptp.hBOOL (tptp.hAPP_f2078996785l_bool (tptp.hAPP_P1085061129l_bool tptp.member1805745300le_alt (tptp.hAPP_l1556767370le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f2078996785l_bool (tptp.hAPP_P1085061129l_bool tptp.member1805745300le_alt (tptp.hAPP_l1556767370le_alt (tptp.hAPP_l1615793307le_alt tptp.produc499297815le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f2078996785l_bool (tptp.hAPP_P1085061129l_bool tptp.member1805745300le_alt (tptp.hAPP_l1556767370le_alt _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f695049061i_bool tptp.lexord1918670343e_indi R_1))) (let ((_let_2 (tptp.hAPP_l1484722549e_indi tptp.produc1849892183e_indi Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_A785351481e_indi tptp.produc2070216205e_indi X_2))) (=> (and (tptp.is_Arr859726945e_indi X_2) (tptp.is_Arr859726945e_indi Y_1) (tptp.is_Arr859726945e_indi Z)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) (tptp.set_Ar1035526739e_indi Xs))) (=> (tptp.hBOOL (tptp.hAPP_f511649569l_bool (tptp.hAPP_P1435933929l_bool tptp.member258426884e_indi (tptp.hAPP_A2054143614e_indi _let_1 Y_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f511649569l_bool (tptp.hAPP_P1435933929l_bool tptp.member258426884e_indi (tptp.hAPP_A2054143614e_indi (tptp.hAPP_A785351481e_indi tptp.produc2070216205e_indi Y_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f511649569l_bool (tptp.hAPP_P1435933929l_bool tptp.member258426884e_indi (tptp.hAPP_A2054143614e_indi _let_1 Z)) R_1)))))))) (=> (tptp.hBOOL (tptp.hAPP_f1140617841l_bool (tptp.hAPP_P173682825l_bool tptp.member912023252e_indi (tptp.hAPP_l2129529815e_indi _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1140617841l_bool (tptp.hAPP_P173682825l_bool tptp.member912023252e_indi (tptp.hAPP_l2129529815e_indi (tptp.hAPP_l1484722549e_indi tptp.produc1849892183e_indi Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1140617841l_bool (tptp.hAPP_P173682825l_bool tptp.member912023252e_indi (tptp.hAPP_l2129529815e_indi _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f1114274611l_bool tptp.lexord_bool R_1))) (let ((_let_2 (tptp.hAPP_l218095399t_bool tptp.produc1067887767t_bool Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_b1115999851l_bool tptp.produc1246214911l_bool X_2))) (=> (and (tptp.is_bool X_2) (tptp.is_bool Y_1) (tptp.is_bool Z)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs))) (=> (tptp.hBOOL (tptp.hAPP_f1098788115l_bool (tptp.hAPP_P738148045l_bool tptp.member624253174l_bool (tptp.hAPP_b2048821609l_bool _let_1 Y_1)) R_1)) (=> (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_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f1098788115l_bool (tptp.hAPP_P738148045l_bool tptp.member624253174l_bool (tptp.hAPP_b2048821609l_bool _let_1 Z)) R_1)))))))) (=> (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 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f357296741l_bool tptp.lexord1145600903t_bool R_1))) (let ((_let_2 (tptp.hAPP_l1784712821t_bool tptp.produc49085783t_bool Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_f1596466233t_bool tptp.produc882973453t_bool X_2))) (=> (and (tptp.is_fun48324065t_bool X_2) (tptp.is_fun48324065t_bool Y_1) (tptp.is_fun48324065t_bool Z)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) (tptp.set_fu1433968595t_bool Xs))) (=> (tptp.hBOOL (tptp.hAPP_f140107297l_bool (tptp.hAPP_P1099469545l_bool tptp.member205384452t_bool (tptp.hAPP_f38433022t_bool _let_1 Y_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f140107297l_bool (tptp.hAPP_P1099469545l_bool tptp.member205384452t_bool (tptp.hAPP_f38433022t_bool (tptp.hAPP_f1596466233t_bool tptp.produc882973453t_bool Y_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f140107297l_bool (tptp.hAPP_P1099469545l_bool tptp.member205384452t_bool (tptp.hAPP_f38433022t_bool _let_1 Z)) R_1)))))))) (=> (tptp.hBOOL (tptp.hAPP_f1456773233l_bool (tptp.hAPP_P776750217l_bool tptp.member200634580t_bool (tptp.hAPP_l1242238295t_bool _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1456773233l_bool (tptp.hAPP_P776750217l_bool tptp.member200634580t_bool (tptp.hAPP_l1242238295t_bool (tptp.hAPP_l1784712821t_bool tptp.produc49085783t_bool Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1456773233l_bool (tptp.hAPP_P776750217l_bool tptp.member200634580t_bool (tptp.hAPP_l1242238295t_bool _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f2031254713l_bool tptp.lexord1692326342t_bool R_1))) (let ((_let_2 (tptp.hAPP_l131013165t_bool tptp.produc1134856577t_bool Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_f1999636669t_bool tptp.produc1802651735t_bool X_2))) (=> (and (tptp.is_fun20916972t_bool X_2) (tptp.is_fun20916972t_bool Y_1) (tptp.is_fun20916972t_bool Z)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) (tptp.set_fu444796538t_bool Xs))) (=> (tptp.hBOOL (tptp.hAPP_f891725169l_bool (tptp.hAPP_P1919864457l_bool tptp.member2100323796t_bool (tptp.hAPP_f1265889019t_bool _let_1 Y_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f891725169l_bool (tptp.hAPP_P1919864457l_bool tptp.member2100323796t_bool (tptp.hAPP_f1265889019t_bool (tptp.hAPP_f1999636669t_bool tptp.produc1802651735t_bool Y_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f891725169l_bool (tptp.hAPP_P1919864457l_bool tptp.member2100323796t_bool (tptp.hAPP_f1265889019t_bool _let_1 Z)) R_1)))))))) (=> (tptp.hBOOL (tptp.hAPP_f1422872597l_bool (tptp.hAPP_P328558801l_bool tptp.member1477971960t_bool (tptp.hAPP_l839073004t_bool _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1422872597l_bool (tptp.hAPP_P328558801l_bool tptp.member1477971960t_bool (tptp.hAPP_l839073004t_bool (tptp.hAPP_l131013165t_bool tptp.produc1134856577t_bool Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1422872597l_bool (tptp.hAPP_P328558801l_bool tptp.member1477971960t_bool (tptp.hAPP_l839073004t_bool _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f363884353l_bool tptp.lexord373145049t_bool R_1))) (let ((_let_2 (tptp.hAPP_l1064263321t_bool tptp.produc436944087t_bool Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_f1785736029t_bool tptp.produc999701681t_bool X_2))) (=> (and (tptp.is_fun1264457267t_bool X_2) (tptp.is_fun1264457267t_bool Y_1) (tptp.is_fun1264457267t_bool Z)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) (tptp.set_fu222164517t_bool Xs))) (=> (tptp.hBOOL (tptp.hAPP_f1508705733l_bool (tptp.hAPP_P1374173745l_bool tptp.member1765007528t_bool (tptp.hAPP_f1639289588t_bool _let_1 Y_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1508705733l_bool (tptp.hAPP_P1374173745l_bool tptp.member1765007528t_bool (tptp.hAPP_f1639289588t_bool (tptp.hAPP_f1785736029t_bool tptp.produc999701681t_bool Y_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f1508705733l_bool (tptp.hAPP_P1374173745l_bool tptp.member1765007528t_bool (tptp.hAPP_f1639289588t_bool _let_1 Z)) R_1)))))))) (=> (tptp.hBOOL (tptp.hAPP_f288803825l_bool (tptp.hAPP_P981043081l_bool tptp.member976989780t_bool (tptp.hAPP_l607015721t_bool _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f288803825l_bool (tptp.hAPP_P981043081l_bool tptp.member976989780t_bool (tptp.hAPP_l607015721t_bool (tptp.hAPP_l1064263321t_bool tptp.produc436944087t_bool Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f288803825l_bool (tptp.hAPP_P981043081l_bool tptp.member976989780t_bool (tptp.hAPP_l607015721t_bool _let_2 Zs_1)) _let_1)))))))) (forall ((Zs_1 $$unsorted) (Ys_1 $$unsorted) (R_1 $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_f846944031t_bool tptp.lexord1008325386le_alt R_1))) (let ((_let_2 (tptp.hAPP_l794402875le_alt tptp.produc1787549079le_alt Xs))) (=> (forall ((X_2 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_P1725284223le_alt tptp.produc744410643le_alt X_2))) (=> (and (tptp.is_Pro1004667236le_alt X_2) (tptp.is_Pro1004667236le_alt Y_1) (tptp.is_Pro1004667236le_alt Z)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) (tptp.set_Pr2031705942le_alt Xs))) (=> (tptp.hBOOL (tptp.hAPP_f1720639399l_bool (tptp.hAPP_P626359285l_bool tptp.member852432522le_alt (tptp.hAPP_P29732487le_alt _let_1 Y_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1720639399l_bool (tptp.hAPP_P626359285l_bool tptp.member852432522le_alt (tptp.hAPP_P29732487le_alt (tptp.hAPP_P1725284223le_alt tptp.produc744410643le_alt Y_1) Z)) R_1)) (tptp.hBOOL (tptp.hAPP_f1720639399l_bool (tptp.hAPP_P626359285l_bool tptp.member852432522le_alt (tptp.hAPP_P29732487le_alt _let_1 Z)) R_1)))))))) (=> (tptp.hBOOL (tptp.hAPP_f1342253361l_bool (tptp.hAPP_P585301513l_bool tptp.member1353676180le_alt (tptp.hAPP_l309028378le_alt _let_2 Ys_1)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1342253361l_bool (tptp.hAPP_P585301513l_bool tptp.member1353676180le_alt (tptp.hAPP_l309028378le_alt (tptp.hAPP_l794402875le_alt tptp.produc1787549079le_alt Ys_1) Zs_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1342253361l_bool (tptp.hAPP_P585301513l_bool tptp.member1353676180le_alt (tptp.hAPP_l309028378le_alt _let_2 Zs_1)) _let_1)))))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) (tptp.set_Ar426477344le_alt Xs))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_2))))) (= (tptp.dropWh1165804960le_alt Pa (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs) Ys_1)) (tptp.dropWh1165804960le_alt Pa Ys_1)))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) (tptp.set_Pr1756729158le_alt Xs))) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa X_2)))) (= (tptp.dropWh1957015750le_alt Pa (tptp.hAPP_l182884309le_alt (tptp.hAPP_l2076130586le_alt tptp.append1768277586le_alt Xs) Ys_1)) (tptp.dropWh1957015750le_alt Pa Ys_1)))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) (tptp.set_Ar1035526739e_indi Xs))) (tptp.hBOOL (tptp.hAPP_A416869060i_bool Pa X_2))))) (= (tptp.dropWh1417102291e_indi Pa (tptp.hAPP_l1557274901e_indi (tptp.hAPP_l203258125e_indi tptp.append968919903e_indi Xs) Ys_1)) (tptp.dropWh1417102291e_indi Pa Ys_1)))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs))) (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_2))))) (= (tptp.dropWhile_bool Pa (tptp.hAPP_l1189022293t_bool (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs) Ys_1)) (tptp.dropWhile_bool Pa Ys_1)))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) (tptp.set_fu1433968595t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f446648900l_bool Pa X_2))))) (= (tptp.dropWh1122107731t_bool Pa (tptp.hAPP_l1149974805t_bool (tptp.hAPP_l1032792973t_bool tptp.append1480696031t_bool Xs) Ys_1)) (tptp.dropWh1122107731t_bool Pa Ys_1)))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) (tptp.set_fu444796538t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool Pa X_2))))) (= (tptp.dropWh193383674t_bool Pa (tptp.hAPP_l342779967t_bool (tptp.hAPP_l1392153600t_bool tptp.append2131097198t_bool Xs) Ys_1)) (tptp.dropWh193383674t_bool Pa Ys_1)))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) (tptp.set_fu222164517t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f1378099862l_bool Pa X_2))))) (= (tptp.dropWh2056378277t_bool Pa (tptp.hAPP_l1130749077t_bool (tptp.hAPP_l1438053435t_bool tptp.append352340785t_bool Xs) Ys_1)) (tptp.dropWh2056378277t_bool Pa Ys_1)))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) (tptp.set_Pr2031705942le_alt Xs))) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa X_2))))) (= (tptp.dropWh1186971862le_alt Pa (tptp.hAPP_l850073941le_alt (tptp.hAPP_l595508106le_alt tptp.append1735936098le_alt Xs) Ys_1)) (tptp.dropWh1186971862le_alt Pa Ys_1)))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Xs))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) (tptp.set_Ar426477344le_alt Xs))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_2))))) (= (tptp.takeWh1545314552le_alt Pa (tptp.hAPP_l372964747le_alt _let_1 Ys_1)) (tptp.hAPP_l372964747le_alt _let_1 (tptp.takeWh1545314552le_alt Pa Ys_1)))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l2076130586le_alt tptp.append1768277586le_alt Xs))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f890578273l_bool (tptp.hAPP_P2032392041l_bool tptp.member1373125444le_alt X_2) (tptp.set_Pr1756729158le_alt Xs))) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool Pa X_2)))) (= (tptp.takeWh768831342le_alt Pa (tptp.hAPP_l182884309le_alt _let_1 Ys_1)) (tptp.hAPP_l182884309le_alt _let_1 (tptp.takeWh768831342le_alt Pa Ys_1)))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l203258125e_indi tptp.append968919903e_indi Xs))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) (tptp.set_Ar1035526739e_indi Xs))) (tptp.hBOOL (tptp.hAPP_A416869060i_bool Pa X_2))))) (= (tptp.takeWh1088896635e_indi Pa (tptp.hAPP_l1557274901e_indi _let_1 Ys_1)) (tptp.hAPP_l1557274901e_indi _let_1 (tptp.takeWh1088896635e_indi Pa Ys_1)))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1947611924t_bool tptp.append_bool Xs))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) (tptp.set_bool Xs))) (tptp.hBOOL (tptp.hAPP_bool_bool Pa X_2))))) (= (tptp.takeWhile_bool Pa (tptp.hAPP_l1189022293t_bool _let_1 Ys_1)) (tptp.hAPP_l1189022293t_bool _let_1 (tptp.takeWhile_bool Pa Ys_1)))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1032792973t_bool tptp.append1480696031t_bool Xs))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun48324065t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) (tptp.set_fu1433968595t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f446648900l_bool Pa X_2))))) (= (tptp.takeWh1268567035t_bool Pa (tptp.hAPP_l1149974805t_bool _let_1 Ys_1)) (tptp.hAPP_l1149974805t_bool _let_1 (tptp.takeWh1268567035t_bool Pa Ys_1)))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1392153600t_bool tptp.append2131097198t_bool Xs))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) (tptp.set_fu444796538t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool Pa X_2))))) (= (tptp.takeWh572506194t_bool Pa (tptp.hAPP_l342779967t_bool _let_1 Ys_1)) (tptp.hAPP_l342779967t_bool _let_1 (tptp.takeWh572506194t_bool Pa Ys_1)))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1438053435t_bool tptp.append352340785t_bool Xs))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_fun1264457267t_bool X_2) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) (tptp.set_fu222164517t_bool Xs))) (tptp.hBOOL (tptp.hAPP_f1378099862l_bool Pa X_2))))) (= (tptp.takeWh1813199437t_bool Pa (tptp.hAPP_l1130749077t_bool _let_1 Ys_1)) (tptp.hAPP_l1130749077t_bool _let_1 (tptp.takeWh1813199437t_bool Pa Ys_1)))))) (forall ((Ys_1 $$unsorted) (Pa $$unsorted) (Xs $$unsorted)) (let ((_let_1 (tptp.hAPP_l595508106le_alt tptp.append1735936098le_alt Xs))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.is_Pro1004667236le_alt X_2) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) (tptp.set_Pr2031705942le_alt Xs))) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa X_2))))) (= (tptp.takeWh808795006le_alt Pa (tptp.hAPP_l850073941le_alt _let_1 Ys_1)) (tptp.hAPP_l850073941le_alt _let_1 (tptp.takeWh808795006le_alt Pa Ys_1)))))) (forall ((Pa $$unsorted) (Xs $$unsorted)) (=> (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f87553445l_bool (tptp.hAPP_A86021709l_bool tptp.member2080870050le_alt X_2) (tptp.set_Ar426477344le_alt Xs))) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_2)))) (not (forall ((Ys $$unsorted) (X_2 $$unsorted)) (=> (tptp.is_Arr723427730le_alt X_2) (=> (exists ((Zs $$unsorted)) (= Xs (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt tptp.append28105492le_alt Ys) (tptp.hAPP_l372964747le_alt (tptp.hAPP_A1660609715le_alt tptp.cons_A77766063le_alt X_2) Zs)))) (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool Pa X_2))))))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) (tptp.set_fu444796538t_bool Xs))) (exists ((Ys $$unsorted) (Zs $$unsorted)) (= Xs (tptp.hAPP_l342779967t_bool (tptp.hAPP_l1392153600t_bool tptp.append2131097198t_bool Ys) (tptp.hAPP_l342779967t_bool (tptp.hAPP_f1916337549t_bool tptp.cons_f476294153t_bool X_1) Zs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) (tptp.set_fu222164517t_bool Xs))) (exists ((Ys $$unsorted) (Zs $$unsorted)) (= Xs (tptp.hAPP_l1130749077t_bool (tptp.hAPP_l1438053435t_bool tptp.append352340785t_bool Ys) (tptp.hAPP_l1130749077t_bool (tptp.hAPP_f1337535236t_bool tptp.cons_f160345174t_bool X_1) Zs)))))) (forall ((X_1 $$unsorted) (Xs $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) (tptp.set_Pr2031705942le_alt Xs))) (exists ((Ys $$unsorted) (Zs $$unsorted)) (= Xs (tptp.hAPP_l850073941le_alt (tptp.hAPP_l595508106le_alt tptp.append1735936098le_alt Ys) (tptp.hAPP_l850073941le_alt (tptp.hAPP_P465197523le_alt tptp.cons_P272751751le_alt X_1) Zs)))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (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_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) (tptp.suc N_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.suc M_1)) (tptp.suc N_1))))) (forall ((N_1 $$unsorted)) (not (= N_1 (tptp.suc N_1)))) (forall ((N_1 $$unsorted)) (not (= (tptp.suc N_1) N_1))) (forall ((Nat_1 $$unsorted) (Nat $$unsorted)) (= (= (tptp.suc Nat_1) (tptp.suc Nat)) (= Nat_1 Nat))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.suc X) (tptp.suc Y)) (= X Y))) (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) N_1)))) (forall ((M $$unsorted) (N $$unsorted)) (= (not (= M N)) (or (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 N) M))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (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_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) N_1)))) (forall ((N_1 $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) M_1)) (not (= M_1 N_1)))) (forall ((S $$unsorted) (T $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat S) T)) (not (= S T)))) (forall ((Pa $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa N) M)))) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) _let_1) (=> (=> (= M N) _let_1) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M)) _let_1) _let_1))))) (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) N_1))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) M_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (= M_1 N_1) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)))) (forall ((K $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1))) (=> (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)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 K)))))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) M_1)) (= M_1 N_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.suc M_1)) (tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.suc M_1)) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.suc N_1))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_1))) (= M_1 N_1))))) (forall ((K $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.suc I_1)) K))))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (let ((_let_1 (tptp.suc M_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)) (=> (not (= _let_1 N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_1) N_1)))))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.suc N_1)))))) (forall ((N_1 $$unsorted) (M_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.suc M_1))) (= M_1 N_1))))) (forall ((N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.suc M))) (= N M))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.suc M)) (tptp.suc N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.suc N))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (= M N))))) (forall ((M $$unsorted) (N $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.suc M))))) (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.suc N_1)) N_1)))) (forall ((M $$unsorted) (N $$unsorted)) (= (not (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.suc N)) M)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (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)) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N)) (= M _let_1)))))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.suc N)) (tptp.suc M))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.suc N_1)))))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (let ((_let_1 (tptp.suc N_1))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N_1))) (= M_1 _let_1)))))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.suc M_1)) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)) (= M_1 N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)) (=> (not (= M_1 N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1))))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (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_eq_nat M_1) N_1)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (= M N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (not (= M N))))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.suc M_1)) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (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 N) (tptp.suc M))) (= N M)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (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_eq_nat (tptp.suc M_1)) N_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) (tptp.suc N_1))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.suc N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.suc N)) M)))) (forall ((P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))) (forall ((P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))) (tptp.hBOOL tptp.fTrue) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_bool X) (tptp.is_bool Y)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fequal_bool X) Y))) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fequal_bool X) Y)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (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 $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool (tptp.hAPP_f1897201897l_bool tptp.cOMBC_bool_bool_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool P R) Q))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X) (tptp.is_Arr723427730le_alt Y)) (or (not (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool tptp.fequal21574094le_alt X) Y))) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool tptp.fequal21574094le_alt X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_Arr859726945e_indi X) (tptp.is_Arr859726945e_indi Y)) (or (not (tptp.hBOOL (tptp.hAPP_A416869060i_bool (tptp.hAPP_A1609075839i_bool tptp.fequal2012472101e_indi X) Y))) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_A416869060i_bool (tptp.hAPP_A1609075839i_bool tptp.fequal2012472101e_indi X) Y)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_A1120018583t_bool (tptp.hAPP_b287951269t_bool tptp.cOMBK_507931254le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_A416869060i_bool (tptp.hAPP_b2116075462i_bool tptp.cOMBK_1391252605e_indi P) Q) P))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool tptp.fequal1028827333le_alt X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_l300482276t_bool (tptp.hAPP_l2066632447t_bool tptp.fequal1028827333le_alt X) Y)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1120018583t_bool (tptp.hAPP_f246757773t_bool (tptp.hAPP_f1211148133t_bool tptp.cOMBB_966447723le_alt P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_A1120018583t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A416869060i_bool (tptp.hAPP_f1282033109i_bool (tptp.hAPP_f1765349427i_bool tptp.cOMBB_1957128648e_indi P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_A416869060i_bool Q R)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_Pro1004667236le_alt X) (tptp.is_Pro1004667236le_alt Y)) (or (not (tptp.hBOOL (tptp.hAPP_P1813625415t_bool (tptp.hAPP_P1999019327t_bool tptp.fequal1881358376le_alt X) Y))) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool (tptp.hAPP_P1999019327t_bool tptp.fequal1881358376le_alt X) Y)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool (tptp.hAPP_f271508829t_bool tptp.cOMBC_2032358938t_bool P) Q) R) (tptp.hAPP_A1120018583t_bool (tptp.hAPP_A1781286015t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A416869060i_bool (tptp.hAPP_A1609075839i_bool (tptp.hAPP_f791932009i_bool tptp.cOMBC_553632464i_bool P) Q) R) (tptp.hAPP_A416869060i_bool (tptp.hAPP_A1609075839i_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_P1813625415t_bool (tptp.hAPP_b763490121t_bool tptp.cOMBK_1733734784le_alt P) Q) P))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_fun20916972t_bool X) (tptp.is_fun20916972t_bool Y)) (or (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.fequal318101288t_bool X) Y))) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.fequal318101288t_bool X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_P2096362161le_alt (tptp.hAPP_P1891191097le_alt (tptp.if_Pro1659200999le_alt tptp.fTrue) X) Y) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_P2096362161le_alt (tptp.hAPP_P1891191097le_alt (tptp.if_Pro1659200999le_alt tptp.fFalse) X) Y) Y)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1813625415t_bool (tptp.hAPP_f137597973t_bool (tptp.hAPP_f2063770867t_bool tptp.cOMBB_1860605643le_alt P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P1813625415t_bool Q R)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_P1373277879t_bool (tptp.hAPP_P1133336895t_bool tptp.fequal1025934616le_alt X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_P1373277879t_bool (tptp.hAPP_P1133336895t_bool tptp.fequal1025934616le_alt X) Y)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n2108195705le_alt (tptp.hAPP_l1244209582le_alt (tptp.hAPP_f1660378693le_alt tptp.cOMBC_1158490499le_alt P) Q) R) (tptp.hAPP_l372964747le_alt (tptp.hAPP_n344665784le_alt P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f1733357041l_bool (tptp.hAPP_b805997823l_bool tptp.cOMBK_715978704t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun_bool_bool P) (= (tptp.hAPP_P1122857141l_bool (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun20916972t_bool P) (= (tptp.hAPP_b763490121t_bool (tptp.hAPP_f581841297t_bool tptp.cOMBK_1685845624l_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f574392641l_bool (tptp.hAPP_f2007076633l_bool tptp.cOMBB_1517321413t_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1733357041l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun_bool_bool P) (= (tptp.hAPP_f812095627l_bool (tptp.hAPP_f2062029545l_bool tptp.cOMBK_753699544t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1420103068l_bool P) (= (tptp.hAPP_b805997823l_bool (tptp.hAPP_f118515775l_bool tptp.cOMBK_1028572856l_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1373277879t_bool (tptp.hAPP_f2073680917t_bool (tptp.hAPP_f2036795507t_bool tptp.cOMBB_1957338939le_alt P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P1373277879t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1651000642t_bool P) (= (tptp.hAPP_P1116266031t_bool (tptp.hAPP_f342341961t_bool tptp.cOMBK_980874600le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun20916972t_bool P) (= (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.cOMBK_78615028le_alt P) Q) P))) _let_3 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun2015243113i_bool P) (= (tptp.hAPP_P957402556i_bool (tptp.hAPP_f3439105i_bool tptp.cOMBK_520250367le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun20916972t_bool P) (= (tptp.hAPP_A340536322t_bool (tptp.hAPP_f590186314t_bool tptp.cOMBK_776703103e_indi P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_A1660609715le_alt (tptp.hAPP_f921948995le_alt tptp.cOMBK_1825575856le_alt P) Q) P)) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_fun1264457267t_bool X) (tptp.is_fun1264457267t_bool Y)) (or (not (tptp.hBOOL (tptp.hAPP_f1378099862l_bool (tptp.hAPP_f1901083135l_bool tptp.fequal1289369847t_bool X) Y))) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1378099862l_bool (tptp.hAPP_f1901083135l_bool tptp.fequal1289369847t_bool X) Y)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1120018583t_bool (tptp.hAPP_f1068593625t_bool (tptp.hAPP_f372913425t_bool tptp.cOMBC_943734388l_bool P) Q) R) (tptp.hAPP_f1733357041l_bool (tptp.hAPP_A433435097l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt (tptp.hAPP_f268020663le_alt tptp.cOMBC_168079159le_alt P) Q) R) (tptp.hAPP_l372964747le_alt (tptp.hAPP_l1390889510le_alt P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1651000642t_bool P) (= (tptp.hAPP_f1068593625t_bool (tptp.hAPP_f391873743t_bool tptp.cOMBK_339579368t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1420103068l_bool P) (= (tptp.hAPP_A433435097l_bool (tptp.hAPP_f1954218281l_bool tptp.cOMBK_549130676le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f1378099862l_bool (tptp.hAPP_b1461182872l_bool tptp.cOMBK_776847951t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun2015243113i_bool P) (= (tptp.hAPP_f431432850i_bool (tptp.hAPP_f1077635369i_bool tptp.cOMBK_1399131793t_bool P) Q) P))) _let_2 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1378099862l_bool (tptp.hAPP_f189058133l_bool (tptp.hAPP_f2048491699l_bool tptp.cOMBB_1376111258t_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1378099862l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun_bool_bool P) (= (tptp.hAPP_f591334822l_bool (tptp.hAPP_f498119908l_bool tptp.cOMBK_874213703t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun701126715l_bool P) (= (tptp.hAPP_b1461182872l_bool (tptp.hAPP_f1768325679l_bool tptp.cOMBK_391161927l_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A340536322t_bool (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool P) Q) R) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A85603248t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1813625415t_bool (tptp.hAPP_P1999019327t_bool (tptp.hAPP_f1381403369t_bool tptp.cOMBC_518322134t_bool P) Q) R) (tptp.hAPP_P1813625415t_bool (tptp.hAPP_P1999019327t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l300482276t_bool (tptp.hAPP_f4315714t_bool (tptp.hAPP_f921250311t_bool tptp.cOMBC_1827582133l_bool P) Q) R) (tptp.hAPP_f890578273l_bool (tptp.hAPP_l1493471510l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1781286015t_bool (tptp.hAPP_f1840820673t_bool (tptp.hAPP_f775987425t_bool tptp.cOMBC_441619036t_bool P) Q) R) (tptp.hAPP_f1068593625t_bool (tptp.hAPP_A64811457t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1660609715le_alt (tptp.hAPP_f904937452le_alt (tptp.hAPP_f239458941le_alt tptp.cOMBB_521986850le_alt P) Q) R) (tptp.hAPP_l1390889510le_alt P (tptp.hAPP_A1849759038le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1651000642t_bool P) (= (tptp.hAPP_f3167870t_bool (tptp.hAPP_f1698272152t_bool tptp.cOMBK_242036279t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun701126715l_bool P) (= (tptp.hAPP_A1745457982l_bool (tptp.hAPP_f1973254019l_bool tptp.cOMBK_1744976613le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun2015243113i_bool P) (= (tptp.hAPP_f1570138413i_bool (tptp.hAPP_f1274922098i_bool tptp.cOMBK_948333518t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun701126715l_bool P) (= (tptp.hAPP_A701636433l_bool (tptp.hAPP_f1932802664l_bool tptp.cOMBK_1217667022e_indi P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun20916972t_bool P) (= (tptp.hAPP_P651748559t_bool (tptp.hAPP_f1737373975t_bool tptp.cOMBK_1925322610le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_P1436281263t_bool (tptp.hAPP_f2022891751t_bool tptp.cOMBK_1634281074le_alt P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l591780830le_alt (tptp.hAPP_f1216999144le_alt (tptp.hAPP_f879032165le_alt tptp.cOMBB_1303549321le_alt P) Q) R) (tptp.hAPP_l591780830le_alt P (tptp.hAPP_l372964747le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool (tptp.hAPP_f574303429l_bool tptp.cOMBC_906425754l_bool P) Q) R) (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A85603248t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool P) Q) R) (tptp.hAPP_A28770973t_bool (tptp.hAPP_A1202525278t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1420103068l_bool P) (= (tptp.hAPP_P467353593l_bool (tptp.hAPP_f905851705l_bool tptp.cOMBK_740566962le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f1681297285t_bool (tptp.hAPP_f684471657t_bool tptp.cOMBK_509674590t_bool P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1373277879t_bool (tptp.hAPP_P1133336895t_bool (tptp.hAPP_f1542885353t_bool tptp.cOMBC_1094121654t_bool P) Q) R) (tptp.hAPP_P1373277879t_bool (tptp.hAPP_P1133336895t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A433435097l_bool (tptp.hAPP_f1656652505l_bool (tptp.hAPP_f1585690341l_bool tptp.cOMBB_711698847le_alt P) Q) R) (tptp.hAPP_P1151433609l_bool P (tptp.hAPP_A1561816353le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l2066632447t_bool (tptp.hAPP_f1895633847t_bool (tptp.hAPP_f1997384703t_bool tptp.cOMBC_1696964078t_bool P) Q) R) (tptp.hAPP_f4315714t_bool (tptp.hAPP_l2144750563t_bool P R) Q))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_fun48324065t_bool X) (tptp.is_fun48324065t_bool Y)) (or (not (tptp.hBOOL (tptp.hAPP_f446648900l_bool (tptp.hAPP_f656614015l_bool tptp.fequal547890341t_bool X) Y))) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f446648900l_bool (tptp.hAPP_f656614015l_bool tptp.fequal547890341t_bool X) Y)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f446648900l_bool (tptp.hAPP_b651754310l_bool tptp.cOMBK_577652221t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1420103068l_bool P) (= (tptp.hAPP_f1895971544l_bool (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1148780281le_alt (tptp.hAPP_f670565125le_alt (tptp.hAPP_f1124725731le_alt tptp.cOMBB_1236261828le_alt P) Q) R) (tptp.hAPP_l1148780281le_alt P (tptp.hAPP_l372964747le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l591780830le_alt (tptp.hAPP_f1427069397le_alt (tptp.hAPP_f1928725626le_alt tptp.cOMBS_1626428525le_alt P) Q) R) (tptp.hAPP_P2096362161le_alt (tptp.hAPP_l1791846092le_alt P R) (tptp.hAPP_l591780830le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun701126715l_bool P) (= (tptp.hAPP_P2049543454l_bool (tptp.hAPP_f978113205l_bool tptp.cOMBK_1549622337le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f1329247136t_bool (tptp.hAPP_f303195352t_bool tptp.cOMBK_1264040257t_bool P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f446648900l_bool (tptp.hAPP_f1028172757l_bool (tptp.hAPP_f920654899l_bool tptp.cOMBB_410960200t_bool P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f446648900l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun_bool_bool P) (= (tptp.hAPP_f721327224l_bool (tptp.hAPP_f1459432374l_bool tptp.cOMBK_1068969205t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun292781289l_bool P) (= (tptp.hAPP_b651754310l_bool (tptp.hAPP_f1756719499l_bool tptp.cOMBK_1377637877l_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1378099862l_bool (tptp.hAPP_f1901083135l_bool (tptp.hAPP_f576161641l_bool tptp.cOMBC_1887456628l_bool P) Q) R) (tptp.hAPP_f1378099862l_bool (tptp.hAPP_f1901083135l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1493471510l_bool (tptp.hAPP_f622637325l_bool (tptp.hAPP_f1224738111l_bool tptp.cOMBB_1407335828le_alt P) Q) R) (tptp.hAPP_P2032392041l_bool P (tptp.hAPP_l591780830le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1651000642t_bool P) (= (tptp.hAPP_f1741989420t_bool (tptp.hAPP_f1300833606t_bool tptp.cOMBK_1961253349t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun292781289l_bool P) (= (tptp.hAPP_A990651116l_bool (tptp.hAPP_f1136405251l_bool tptp.cOMBK_1435997879le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun2015243113i_bool P) (= (tptp.hAPP_f783549695i_bool (tptp.hAPP_f1377869636i_bool tptp.cOMBK_1847391868t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun292781289l_bool P) (= (tptp.hAPP_A955165183l_bool (tptp.hAPP_f206814660l_bool tptp.cOMBK_472365180e_indi P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1148780281le_alt (tptp.hAPP_f670565125le_alt (tptp.hAPP_f351228915le_alt tptp.cOMBC_72147604le_alt P) Q) R) (tptp.hAPP_f1216999144le_alt (tptp.hAPP_l486475401le_alt P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A643475905l_bool (tptp.hAPP_f1747206697l_bool (tptp.hAPP_f274832101l_bool tptp.cOMBB_885534287le_alt P) Q) R) (tptp.hAPP_f1656652505l_bool P (tptp.hAPP_A1171966089le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1202525278t_bool (tptp.hAPP_f1044120523t_bool (tptp.hAPP_f2020174441t_bool tptp.cOMBB_930893948e_indi P) Q) R) (tptp.hAPP_f684072049t_bool P (tptp.hAPP_A340536322t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A64811457t_bool (tptp.hAPP_f1092358369t_bool (tptp.hAPP_f1682340965t_bool tptp.cOMBB_333235735le_alt P) Q) R) (tptp.hAPP_f372913425t_bool P (tptp.hAPP_A643475905l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun292781289l_bool P) (= (tptp.hAPP_P1533476044l_bool (tptp.hAPP_f1197671953l_bool tptp.cOMBK_165199855le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f1114489970t_bool (tptp.hAPP_f1228246954t_bool tptp.cOMBK_906927855t_bool P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1148780281le_alt (tptp.hAPP_f794134621le_alt (tptp.hAPP_f2122335314le_alt tptp.cOMBS_1569784209le_alt P) Q) R) (tptp.hAPP_f1427069397le_alt (tptp.hAPP_l486097526le_alt P R) (tptp.hAPP_l1148780281le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1791846092le_alt (tptp.hAPP_f1291634731le_alt (tptp.hAPP_f1654251593le_alt tptp.cOMBB_1675847172le_alt P) Q) R) (tptp.hAPP_P1891191097le_alt P (tptp.hAPP_l591780830le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1748807729l_bool (tptp.hAPP_f1893731349l_bool (tptp.hAPP_f1418100887l_bool tptp.cOMBB_1150645560le_alt P) Q) R) (tptp.hAPP_f622637325l_bool P (tptp.hAPP_l1148780281le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l2144750563t_bool (tptp.hAPP_f1837837439t_bool (tptp.hAPP_f1503353479t_bool tptp.cOMBB_1326560562le_alt P) Q) R) (tptp.hAPP_f921250311t_bool P (tptp.hAPP_l1748807729l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l486475401le_alt (tptp.hAPP_f593033837le_alt (tptp.hAPP_f332249751le_alt tptp.cOMBB_96247696le_alt P) Q) R) (tptp.hAPP_f879032165le_alt P (tptp.hAPP_l1148780281le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l436896263le_alt (tptp.hAPP_f1504748473le_alt (tptp.hAPP_f1949171529le_alt tptp.cOMBB_215060470le_alt P) Q) R) (tptp.hAPP_f1291634731le_alt P (tptp.hAPP_l1148780281le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f446648900l_bool (tptp.hAPP_f656614015l_bool (tptp.hAPP_f1031027817l_bool tptp.cOMBC_921123792l_bool P) Q) R) (tptp.hAPP_f446648900l_bool (tptp.hAPP_f656614015l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l486097526le_alt (tptp.hAPP_f310101886le_alt (tptp.hAPP_f1558754397le_alt tptp.cOMBB_1988247237le_alt P) Q) R) (tptp.hAPP_f1928725626le_alt P (tptp.hAPP_l436896263le_alt Q R)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.11/5.33 )
% 5.11/5.33 % SZS output end Proof for SCT170+2
% 5.11/5.33 % cvc5---1.0.5 exiting
% 5.11/5.33 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------