TSTP Solution File: SCT171+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SCT171+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 14:12:25 EDT 2023
% Result : Theorem 0.65s 1.46s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.29 % Problem : SCT171+3 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.30 % Command : do_cvc5 %s %d
% 0.30/0.51 % Computer : n006.cluster.edu
% 0.30/0.51 % Model : x86_64 x86_64
% 0.30/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.30/0.51 % Memory : 8042.1875MB
% 0.30/0.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.30/0.51 % CPULimit : 300
% 0.30/0.51 % WCLimit : 300
% 0.30/0.51 % DateTime : Thu Aug 24 16:17:08 EDT 2023
% 0.30/0.51 % CPUTime :
% 0.54/0.79 %----Proving TF0_NAR, FOF, or CNF
% 0.65/1.46 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uKwbPv6nbz/cvc5---1.0.5_19100.p...
% 0.65/1.46 ------- get file name : TPTP file name is SCT171+3
% 0.65/1.46 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19100.smt2...
% 0.65/1.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.65/1.46 % SZS status Theorem for SCT171+3
% 0.65/1.46 % SZS output start Proof for SCT171+3
% 0.65/1.46 (
% 0.65/1.46 (let ((_let_1 (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.c))) (let ((_let_2 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt _let_1 tptp.d)))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 (tptp.hAPP_f412050202t_bool tptp.f tptp.p))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.hAPP_f2120083535ol_nat tptp.finite1686180860e_indi tptp.top_to1576102282i_bool))) (let ((_let_6 (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi tptp.ord_less_nat) tptp.h)))) (let ((_let_7 (tptp.cOMBB_2107911302e_indi tptp.if_fun2098446489t_bool))) (let ((_let_8 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.a) tptp.b)))) (let ((_let_9 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_8 (tptp.hAPP_f412050202t_bool tptp.f (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool (tptp.hAPP_f586238575t_bool _let_7 (tptp.hAPP_n821919323i_bool _let_6 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.n) tptp.one_one_nat)))) tptp.lab)) tptp.lba)))))) (let ((_let_10 (tptp.hAPP_f586238575t_bool _let_7 (tptp.hAPP_n821919323i_bool _let_6 tptp.n)))) (let ((_let_11 (tptp.hAPP_f1740414619t_bool (tptp.cOMBS_1064524443t_bool (tptp.hAPP_f1842612975t_bool (tptp.cOMBS_131695599t_bool _let_10) (tptp.hAPP_A1805174428t_bool (tptp.hAPP_f1808153265t_bool tptp.cOMBC_1353880399t_bool (tptp.hAPP_f721938099t_bool (tptp.cOMBB_2032668066e_indi tptp.arrow_1644373103_mktop) tptp.p)) tptp.e))) (tptp.hAPP_f1740414619t_bool (tptp.cOMBS_1064524443t_bool (tptp.hAPP_f1842612975t_bool (tptp.cOMBS_131695599t_bool (tptp.hAPP_f586238575t_bool _let_7 (tptp.hAPP_n821919323i_bool (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi tptp.fequal_nat) tptp.h)) tptp.n))) (tptp.hAPP_A1805174428t_bool (tptp.hAPP_f1808153265t_bool tptp.cOMBC_1353880399t_bool (tptp.hAPP_A1906441908t_bool (tptp.hAPP_f248867553t_bool tptp.cOMBC_898791271t_bool (tptp.hAPP_f210227915t_bool (tptp.cOMBB_1769989562e_indi tptp.arrow_230821333_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP_A1805174428t_bool (tptp.hAPP_f1808153265t_bool tptp.cOMBC_1353880399t_bool (tptp.hAPP_f721938099t_bool (tptp.cOMBB_2032668066e_indi tptp.arrow_1495666017_mkbot) tptp.p)) tptp.e))))) (let ((_let_12 (tptp.hAPP_f412050202t_bool tptp.f _let_11))) (let ((_let_13 (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt _let_1 tptp.e)) _let_12)))) (let ((_let_14 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.b) tptp.a)))) (let ((_let_15 (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.e) tptp.d)) _let_12)))) (let ((_let_16 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 _let_12)))) (let ((_let_17 (= _let_3 _let_16))) (let ((_let_18 (tptp.fun (tptp.product_prod tptp.arrow_107136085le_alt tptp.arrow_107136085le_alt) tptp.bool))) (let ((_let_19 (tptp.fun tptp.arrow_1271263838e_indi _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (SYMM (ASSUME :args (_let_17)))) :args ((or _let_3 (not _let_16)))) (ASSUME :args (_let_16)) :args (_let_3 false _let_16)) :args (false false _let_3)) :args ((tptp.is_fun158382675l_bool tptp.arrow_1654180089le_IIA) (tptp.is_fun279392540l_bool tptp.arrow_1681063817le_Lin) (tptp.is_fun288122577l_bool tptp.arrow_1721807329e_Prof) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool B_1_1) (tptp.is_Arr1861959080le_alt B_2_1) (tptp.is_Arr1861959080le_alt B_3_1)) (tptp.is_fun961089132t_bool (tptp.arrow_1539419881_below B_1_1 B_2_1 B_3_1)))) (tptp.is_fun158382675l_bool tptp.arrow_1587283740nimity) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1236654035i_bool B_1_1) (tptp.is_fun288122577l_bool (tptp.pi_Arr990697634t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun288122577l_bool B_1_1) (tptp.is_fun158382675l_bool (tptp.pi_fun150026276t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool B_1_1) (tptp.is_fun279392540l_bool (tptp.pi_Pro666468413t_bool B_1_1 B_2_1)))) (tptp.is_Arr1861959080le_alt (tptp.undefi462180727le_alt tptp.arrow_107136085le_alt)) (tptp.is_Arr43961803e_indi (tptp.undefi237088188e_indi tptp.arrow_1271263838e_indi)) (tptp.is_bool (tptp.undefined_bool tptp.bool)) (tptp.is_fun2093718614t_bool (tptp.undefi1931156935t_bool (tptp.fun tptp.arrow_107136085le_alt (tptp.fun tptp.arrow_107136085le_alt tptp.bool)))) (tptp.is_fun1236654035i_bool (tptp.undefi1547870882i_bool (tptp.fun tptp.arrow_1271263838e_indi tptp.bool))) (tptp.is_fun1568535512t_bool (tptp.undefi312741927t_bool (tptp.fun tptp.product_unit tptp.bool))) (tptp.is_fun288122577l_bool (tptp.undefi203294880l_bool (tptp.fun _let_19 tptp.bool))) (tptp.is_fun158382675l_bool (tptp.undefi1466315554l_bool (tptp.fun (tptp.fun _let_19 _let_18) tptp.bool))) (tptp.is_fun279392540l_bool (tptp.undefi871250829l_bool (tptp.fun _let_18 tptp.bool))) (tptp.is_fun961089132t_bool (tptp.undefi1481304379t_bool _let_18)) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1236654035i_bool B_1_1) (tptp.is_fun1217980910e_indi (tptp.hilber693666498di_nat B_1_1 B_2_1)))) (tptp.is_bool tptp.top_top_bool) (tptp.is_fun2093718614t_bool tptp.top_to178429151t_bool) (tptp.is_fun1236654035i_bool tptp.top_to1576102282i_bool) (tptp.is_fun1568535512t_bool tptp.top_to1257323279t_bool) (tptp.is_fun288122577l_bool tptp.top_to522745736l_bool) (tptp.is_fun158382675l_bool tptp.top_to1714702858l_bool) (tptp.is_fun279392540l_bool tptp.top_to1853035173l_bool) (tptp.is_fun961089132t_bool tptp.top_to565915683t_bool) (tptp.is_bool tptp.fFalse) (tptp.is_bool tptp.fTrue) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr1861959080le_alt B_2_1) (tptp.is_bool (tptp.hAPP_A862370221t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr1861959080le_alt B_2_1) (tptp.is_fun279392540l_bool (tptp.hAPP_A187815023l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr1861959080le_alt B_2_1) (tptp.is_fun961089132t_bool (tptp.hAPP_A568203993t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool B_1_1) (tptp.is_Arr43961803e_indi B_2_1)) (tptp.is_bool (tptp.hAPP_A1785763630i_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi B_2_1) (tptp.is_fun288122577l_bool (tptp.hAPP_A1952883197l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi B_2_1) (tptp.is_fun158382675l_bool (tptp.hAPP_A1112981887l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi B_2_1) (tptp.is_fun279392540l_bool (tptp.hAPP_A60074736l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi B_2_1) (tptp.is_fun961089132t_bool (tptp.hAPP_A1677245848t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun1236654035i_bool (tptp.hAPP_b1337486384i_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun1568535512t_bool (tptp.hAPP_b1096750261t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun288122577l_bool (tptp.hAPP_b1048178734l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun158382675l_bool (tptp.hAPP_b517355696l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun279392540l_bool (tptp.hAPP_b1812770943l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun961089132t_bool (tptp.hAPP_b1703662281t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1217980910e_indi B_1_1) (tptp.is_Arr43961803e_indi (tptp.hAPP_n1951273283e_indi B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_nat_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun2093718614t_bool (tptp.hAPP_n539120590t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1236654035i_bool (tptp.hAPP_n821919323i_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_n454528608t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun288122577l_bool (tptp.hAPP_n2095207769l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun158382675l_bool (tptp.hAPP_n295497947l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun279392540l_bool (tptp.hAPP_n1674354836l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun961089132t_bool (tptp.hAPP_n588788980t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1568535512t_bool B_1_1) (tptp.is_bool (tptp.hAPP_P1676879539t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun288122577l_bool (tptp.hAPP_P254387896l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun158382675l_bool (tptp.hAPP_P1171466554l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun279392540l_bool (tptp.hAPP_P1294997365l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun961089132t_bool (tptp.hAPP_P1341894483t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2013399995l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun2093718614t_bool B_2_1) (tptp.is_bool (tptp.hAPP_f324780729l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1236654035i_bool B_2_1) (tptp.is_bool (tptp.hAPP_f1599966040l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1236654035i_bool B_2_1) (tptp.is_fun1236654035i_bool (tptp.hAPP_f580451669i_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_Arr43961803e_indi (tptp.hAPP_f836059805e_indi B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun288122577l_bool B_1_1) (tptp.is_bool (tptp.hAPP_f965095724l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1236654035i_bool (tptp.hAPP_f1948454017i_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_f1891021702t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun279392540l_bool (tptp.hAPP_f1277514478l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun961089132t_bool (tptp.hAPP_f412050202t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f387058535l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f54304608l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun2093718614t_bool (tptp.hAPP_f861874780t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1236654035i_bool (tptp.hAPP_f632777549i_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_f1061584978t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun288122577l_bool (tptp.hAPP_f226010187l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun158382675l_bool (tptp.hAPP_f1449238989l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun279392540l_bool (tptp.hAPP_f769545506l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun961089132t_bool (tptp.hAPP_f899613158t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1568535512t_bool B_2_1) (tptp.is_bool (tptp.hAPP_f2028818269l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1568535512t_bool B_2_1) (tptp.is_fun1568535512t_bool (tptp.hAPP_f427533077t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1632652727l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1252760917l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f785974231l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun288122577l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f777333846l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun288122577l_bool B_2_1) (tptp.is_fun288122577l_bool (tptp.hAPP_f146009813l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_Arr43961803e_indi (tptp.hAPP_f1693298207e_indi B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun158382675l_bool B_1_1) (tptp.is_bool (tptp.hAPP_f312250286l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1236654035i_bool (tptp.hAPP_f1552576127i_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_f1866147972t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1837019376l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f67777128l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f599145828l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f651410150l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f817604743l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1351174655l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f795156475l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1637334154l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f537623936l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f339859954l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f844512602l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1508442332l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1846209297l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f415146997l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1725204053l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f597137892l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f770608346l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun158382675l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f250445784l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun158382675l_bool B_2_1) (tptp.is_fun158382675l_bool (tptp.hAPP_f1765205l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f10461143l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f859154022l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1644647260l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f560831258l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f167218729l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f866275871l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1306865520l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun279392540l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f1749234559l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun279392540l_bool B_2_1) (tptp.is_fun279392540l_bool (tptp.hAPP_f111185985l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f22590837l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool B_2_1) (tptp.is_Arr43961803e_indi (tptp.hAPP_f1582908258e_indi B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool B_1_1) (tptp.is_fun961089132t_bool B_2_1)) (tptp.is_bool (tptp.hAPP_f592646513l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool B_2_1) (tptp.is_fun2093718614t_bool (tptp.hAPP_f1617919085t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool B_2_1) (tptp.is_fun1236654035i_bool (tptp.hAPP_f244157820i_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool B_2_1) (tptp.is_fun1568535512t_bool (tptp.hAPP_f1710744577t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool B_2_1) (tptp.is_fun279392540l_bool (tptp.hAPP_f863359027l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool B_2_1) (tptp.is_fun961089132t_bool (tptp.hAPP_f515126293t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_Arr43961803e_indi (tptp.hAPP_P710098616e_indi B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool B_1_1) (tptp.is_bool (tptp.hAPP_P606313927t_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1236654035i_bool (tptp.hAPP_P1875867302i_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_P332578347t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun279392540l_bool (tptp.hAPP_P229966473l_bool B_1_1 B_2_1))) (tptp.is_fun961089132t_bool tptp.lab) (tptp.is_fun961089132t_bool tptp.lba) (tptp.is_Arr1861959080le_alt tptp.a) (tptp.is_Arr1861959080le_alt tptp.b) (tptp.is_Arr1861959080le_alt tptp.c) (tptp.is_Arr1861959080le_alt tptp.d) (tptp.is_Arr1861959080le_alt tptp.e) (tptp.hBOOL (tptp.hAPP_f312250286l_bool tptp.arrow_1654180089le_IIA tptp.f)) (tptp.hBOOL (tptp.hAPP_f312250286l_bool tptp.arrow_1587283740nimity tptp.f)) (not (= tptp.c tptp.d)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool tptp.p) tptp.arrow_1721807329e_Prof)) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt X_2) Y_2)))) (let ((_let_2 (= X_2 Z_2))) (=> (and (tptp.is_Arr1861959080le_alt X_2) (tptp.is_Arr1861959080le_alt Y_2) (tptp.is_Arr1861959080le_alt Z_2)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1495666017_mkbot L_3) Z_2))) (and (not (= Y_2 Z_2)) (=> _let_2 (not (= X_2 Y_2))) (=> (not _let_2) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 L_3))))))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt X_2) Y_2)))) (let ((_let_2 (= Y_2 Z_2))) (=> (and (tptp.is_Arr1861959080le_alt X_2) (tptp.is_Arr1861959080le_alt Y_2) (tptp.is_Arr1861959080le_alt Z_2)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1644373103_mktop L_3) Z_2))) (and (not (= X_2 Z_2)) (=> _let_2 (not (= X_2 Y_2))) (=> (not _let_2) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 L_3))))))))) (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_34 $$unsorted) (B_32 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt A_34) (tptp.is_Arr1861959080le_alt B_32) (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= A_34 B_32)) (=> (not (= Aa B_32)) (=> (not (= Ba A_34)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool Pa) tptp.arrow_1721807329e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool P_1) tptp.arrow_1721807329e_Prof)) (=> (forall ((I_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi I_1) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_A1677245848t_bool Pa I_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_34) B_32)) (tptp.hAPP_A1677245848t_bool P_1 I_1)))))) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_f412050202t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_34) B_32)) (tptp.hAPP_f412050202t_bool tptp.f P_1))))))))))))) (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_34 $$unsorted) (B_32 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt A_34) (tptp.is_Arr1861959080le_alt B_32) (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= A_34 B_32)) (=> (not (= Aa B_32)) (=> (not (= Ba A_34)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool Pa) tptp.arrow_1721807329e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool P_1) tptp.arrow_1721807329e_Prof)) (=> (forall ((I_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi I_1) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_A1677245848t_bool Pa I_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_34) B_32)) (tptp.hAPP_A1677245848t_bool P_1 I_1)))))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_f412050202t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_34) B_32)) (tptp.hAPP_f412050202t_bool tptp.f P_1))))))))))))) (forall ((P_1 $$unsorted) (Pa $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt Ca) (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= Ba Ca)) (=> (not (= Aa Ca)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool Pa) tptp.arrow_1721807329e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool P_1) tptp.arrow_1721807329e_Prof)) (=> (forall ((I_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi I_1) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_A1677245848t_bool Pa I_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Ba) Ca)) (tptp.hAPP_A1677245848t_bool P_1 I_1)))))) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_f412050202t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Ba) Ca)) (tptp.hAPP_f412050202t_bool tptp.f P_1)))))))))))) (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_34 $$unsorted) (B_32 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt A_34) (tptp.is_Arr1861959080le_alt B_32) (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= A_34 B_32)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool Pa) tptp.arrow_1721807329e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool P_1) tptp.arrow_1721807329e_Prof)) (=> (forall ((I_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi I_1) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_A1677245848t_bool Pa I_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_34) B_32)) (tptp.hAPP_A1677245848t_bool P_1 I_1)))))) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_f412050202t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_34) B_32)) (tptp.hAPP_f412050202t_bool tptp.f P_1))))))))))) (forall ((P_1 $$unsorted) (Pa $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool Pa) tptp.arrow_1721807329e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool P_1) tptp.arrow_1721807329e_Prof)) (=> (forall ((I_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi I_1) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_A1677245848t_bool Pa I_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Ba) Aa)) (tptp.hAPP_A1677245848t_bool P_1 I_1)))))) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) (tptp.hAPP_f412050202t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Ba) Aa)) (tptp.hAPP_f412050202t_bool tptp.f P_1)))))))))) (forall ((I_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_A1677245848t_bool tptp.p I_1))) (let ((_let_2 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.c) tptp.d)))) (let ((_let_3 (tptp.hAPP_A1637648121di_nat tptp.h I_1))) (let ((_let_4 (= _let_3 tptp.n))) (let ((_let_5 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_3) tptp.n)))) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 _let_1)) (and (=> _let_5 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1644373103_mktop _let_1) tptp.e)))) (=> (not _let_5) (and (=> _let_4 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 (tptp.hAPP_A568203993t_bool (tptp.hAPP_A1941004017t_bool (tptp.hAPP_f344580165t_bool tptp.arrow_230821333_above _let_1) tptp.c) tptp.e)))) (=> (not _let_4) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1495666017_mkbot _let_1) tptp.e)))))))))))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 (tptp.hAPP_A1677245848t_bool tptp.p (tptp.hAPP_n1951273283e_indi (tptp.hilber693666498di_nat tptp.top_to1576102282i_bool tptp.h) tptp.n)))) _let_16 _let_17 (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P606313927t_bool Pa X1))) (forall ((A_27 $$unsorted) (B_25 $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt A_27) (tptp.is_Arr1861959080le_alt B_25)) (tptp.hBOOL (tptp.hAPP_P606313927t_bool Pa (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_27) B_25))))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool _let_11) tptp.arrow_1721807329e_Prof)) _let_13 _let_15 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.n) _let_5)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat tptp.h) tptp.top_to1576102282i_bool)) (forall ((A_36 $$unsorted) (B_34 $$unsorted) (A_35 $$unsorted) (B_33 $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt A_36) (tptp.is_Arr1861959080le_alt B_34) (tptp.is_Arr1861959080le_alt A_35) (tptp.is_Arr1861959080le_alt B_33)) (=> (= (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_36) B_34) (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_35) B_33)) (not (=> (= A_36 A_35) (not (= B_34 B_33))))))) (forall ((Aa $$unsorted) (Ba $$unsorted) (A_34 $$unsorted) (B_32 $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba) (tptp.is_Arr1861959080le_alt A_34) (tptp.is_Arr1861959080le_alt B_32)) (= (= (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba) (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_34) B_32)) (and (= Aa A_34) (= Ba B_32))))) (forall ((Fa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f312250286l_bool tptp.arrow_1654180089le_IIA Fa)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_1) tptp.arrow_1721807329e_Prof)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool Xa) tptp.arrow_1721807329e_Prof)) (forall ((A_27 $$unsorted) (B_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_27) B_25)))) (=> (and (tptp.is_Arr1861959080le_alt A_27) (tptp.is_Arr1861959080le_alt B_25)) (=> (forall ((I_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_27) B_25)))) (=> (tptp.is_Arr43961803e_indi I_1) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_A1677245848t_bool X_1 I_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_A1677245848t_bool Xa I_1))))))) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_f412050202t_bool Fa X_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_f412050202t_bool Fa Xa)))))))))))))) (forall ((Fa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f312250286l_bool tptp.arrow_1587283740nimity Fa)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_1) tptp.arrow_1721807329e_Prof)) (forall ((A_27 $$unsorted) (B_25 $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt A_27) (tptp.is_Arr1861959080le_alt B_25)) (=> (forall ((I_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi I_1) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_27) B_25)) (tptp.hAPP_A1677245848t_bool X_1 I_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_27) B_25)) (tptp.hAPP_f412050202t_bool Fa X_1)))))))))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool tptp.top_to1853035173l_bool X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f965095724l_bool tptp.top_to522745736l_bool X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f312250286l_bool tptp.top_to1714702858l_bool X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P606313927t_bool tptp.top_to565915683t_bool X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_A1785763630i_bool tptp.top_to1576102282i_bool X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.top_top_fun_nat_bool X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1676879539t_bool tptp.top_to1257323279t_bool X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) tptp.top_to1647826457l_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) tptp.top_to1576102282i_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) tptp.top_to1257323279t_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) tptp.top_to565915683t_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) tptp.top_to522745736l_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) tptp.top_to1714702858l_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) tptp.top_to1853035173l_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) tptp.top_top_fun_nat_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) tptp.top_to1647826457l_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) tptp.top_to1576102282i_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) tptp.top_to1257323279t_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) tptp.top_to565915683t_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) tptp.top_to522745736l_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) tptp.top_to1714702858l_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) tptp.top_to1853035173l_bool))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) tptp.top_top_fun_nat_bool))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool tptp.top_to1853035173l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f965095724l_bool tptp.top_to522745736l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f312250286l_bool tptp.top_to1714702858l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P606313927t_bool tptp.top_to565915683t_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A1785763630i_bool tptp.top_to1576102282i_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.top_top_fun_nat_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1676879539t_bool tptp.top_to1257323279t_bool X_2)) (tptp.hBOOL tptp.top_top_bool))) (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool tptp.top_to1853035173l_bool) Aa)))) (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool tptp.top_to522745736l_bool) Aa)))) (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool tptp.top_to1714702858l_bool) Aa)))) (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool tptp.top_top_bool) Aa)))) (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool tptp.top_to565915683t_bool) Aa)))) (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool tptp.top_to1576102282i_bool) Aa)))) (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool tptp.top_top_fun_nat_bool) Aa)))) (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool tptp.top_to1257323279t_bool) Aa)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun279392540l_bool Aa) (= (not (= Aa tptp.top_to1853035173l_bool)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Aa) tptp.top_to1853035173l_bool))))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun288122577l_bool Aa) (= (not (= Aa tptp.top_to522745736l_bool)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Aa) tptp.top_to522745736l_bool))))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun158382675l_bool Aa) (= (not (= Aa tptp.top_to1714702858l_bool)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Aa) tptp.top_to1714702858l_bool))))) (forall ((Aa $$unsorted)) (= (not (= (tptp.hBOOL Aa) (tptp.hBOOL tptp.top_top_bool))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Aa) tptp.top_top_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun961089132t_bool Aa) (= (not (= Aa tptp.top_to565915683t_bool)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Aa) tptp.top_to565915683t_bool))))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun1236654035i_bool Aa) (= (not (= Aa tptp.top_to1576102282i_bool)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) tptp.top_to1576102282i_bool))))) (forall ((Aa $$unsorted)) (= (not (= Aa tptp.top_top_fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) tptp.top_top_fun_nat_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun1568535512t_bool Aa) (= (not (= Aa tptp.top_to1257323279t_bool)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) tptp.top_to1257323279t_bool))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool tptp.f) (tptp.pi_fun150026276t_bool tptp.arrow_1721807329e_Prof (tptp.hAPP_f1924755118l_bool tptp.cOMBK_2038534567t_bool tptp.arrow_1681063817le_Lin)))) (= _let_15 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_14 (tptp.hAPP_f412050202t_bool tptp.f (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool _let_10) tptp.lab)) tptp.lba))))) (forall ((Fa $$unsorted) (I $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A1785763630i_bool (tptp.hAPP_f1552576127i_bool tptp.arrow_610963188ctator Fa) I)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_1) tptp.arrow_1721807329e_Prof)) (= (tptp.hAPP_f412050202t_bool Fa X_1) (tptp.hAPP_A1677245848t_bool X_1 I)))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool tptp.lab) tptp.arrow_1681063817le_Lin)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool tptp.lba) tptp.arrow_1681063817le_Lin)) (not (= tptp.a tptp.b)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_8 tptp.lab)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_14 tptp.lba)) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_8 tptp.lba))) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_14 tptp.lab))) (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool (tptp.hAPP_f586238575t_bool (tptp.cOMBB_2107911302e_indi tptp.if_fun2098446489t_bool) (tptp.hAPP_n821919323i_bool (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi tptp.ord_less_nat) tptp.h)) Na))) tptp.lab)) tptp.lba)) tptp.arrow_1721807329e_Prof))) (not (forall ((Lab $$unsorted)) (=> (tptp.is_fun961089132t_bool Lab) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.a) tptp.b)) Lab)) (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool Lab) tptp.arrow_1681063817le_Lin))))))) (not (forall ((Lba $$unsorted)) (=> (tptp.is_fun961089132t_bool Lba) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.b) tptp.a)) Lba)) (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool Lba) tptp.arrow_1681063817le_Lin))))))) (forall ((I_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.b) tptp.a)))) (let ((_let_2 (tptp.hAPP_A1637648121di_nat tptp.h I_1))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_2) tptp.n)))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.hAPP_A1677245848t_bool tptp.p I_1))) (let ((_let_6 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.e) tptp.d)))) (let ((_let_7 (= _let_2 tptp.n))) (= (and (=> _let_3 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_6 (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1644373103_mktop _let_5) tptp.e)))) (=> _let_4 (and (=> _let_7 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_6 (tptp.hAPP_A568203993t_bool (tptp.hAPP_A1941004017t_bool (tptp.hAPP_f344580165t_bool tptp.arrow_230821333_above _let_5) tptp.c) tptp.e)))) (=> (not _let_7) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_6 (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1495666017_mkbot _let_5) tptp.e))))))) (and (=> _let_3 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 tptp.lab))) (=> _let_4 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 tptp.lba))))))))))))) (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) tptp.n)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.b) tptp.a)) (tptp.hAPP_f412050202t_bool tptp.f (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool (tptp.hAPP_f586238575t_bool (tptp.cOMBB_2107911302e_indi tptp.if_fun2098446489t_bool) (tptp.hAPP_n821919323i_bool (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi tptp.ord_less_nat) tptp.h)) M))) tptp.lab)) tptp.lba)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt X_2) (tptp.is_Arr1861959080le_alt Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (=> (not (= X_2 Y_2)) (= (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt X_2) Y_2)) L_3))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Y_2) X_2)) L_3))))))) (forall ((Aa $$unsorted) (Ba $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) L_3)) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Ba) Aa)) L_3)))))) (forall ((X_2 $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1644373103_mktop L_3) X_2)) tptp.arrow_1681063817le_Lin)))) (forall ((X_2 $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1495666017_mkbot L_3) X_2)) tptp.arrow_1681063817le_Lin)))) (forall ((L_3 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt X_2) (tptp.is_Arr1861959080le_alt Y_2)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_A568203993t_bool (tptp.hAPP_A1941004017t_bool (tptp.hAPP_f344580165t_bool tptp.arrow_230821333_above L_3) X_2) Y_2)) tptp.arrow_1681063817le_Lin)))))) (forall ((L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_f329301088t_bool tptp.cOMBK_1076156777e_indi L_3)) tptp.arrow_1721807329e_Prof)))) (forall ((X_32 $$unsorted) (Y_30 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_32) Y_30))) (=> (not (= X_32 Y_30)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_30) X_32))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_2) X_2))))) (forall ((X_31 $$unsorted) (Y_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_31) Y_29)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_29) X_31))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 X_2)))))) (forall ((Z_9 $$unsorted) (Y_28 $$unsorted) (X_30 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_9))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_28) X_30)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_28)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X_30)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Z_2)))))) (forall ((Z_8 $$unsorted) (X_29 $$unsorted) (Y_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_29))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_27)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_27) Z_8)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_8)))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ca) Aa))))) (forall ((C_24 $$unsorted) (B_31 $$unsorted) (A_33 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_31) A_33)) (=> (= B_31 C_24) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_24) A_33))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Ca)))))) (forall ((C_23 $$unsorted) (A_32 $$unsorted) (B_30 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_32))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_30)) (=> (= B_30 C_23) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_23)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Aa)))))) (forall ((C_22 $$unsorted) (A_31 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_22))) (=> (= A_31 B_29) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_29)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_31)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) Ca))))) (forall ((C_21 $$unsorted) (A_30 $$unsorted) (B_28 $$unsorted)) (=> (= A_30 B_28) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_28) C_21)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_30) C_21))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Aa)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) Ba))))) (forall ((B_27 $$unsorted) (A_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_27) A_29)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_29) B_27))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) Ba)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Aa))))) (forall ((A_28 $$unsorted) (B_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_28) B_26)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_26) A_28))))) (forall ((Pa $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2)) (tptp.hBOOL Pa)))) (forall ((Pa $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2)) (tptp.hBOOL Pa)))) (forall ((Pa $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_2) X_2)) (tptp.hBOOL Pa)))) (forall ((Pa $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2)) (tptp.hBOOL Pa)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (= Y_2 X_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (= Y_2 X_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (not (= Y_2 X_2)))) (forall ((X_28 $$unsorted) (Y_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_28) Y_26)) (not (= Y_26 X_28)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (not (= X_2 Y_2)))) (forall ((X_27 $$unsorted) (Y_25 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_27) Y_25)) (not (= X_27 Y_25)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_2) X_2))))) (forall ((X_26 $$unsorted) (Y_24 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_26) Y_24)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_24) X_26))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_2) X_2))))) (forall ((X_25 $$unsorted) (Y_23 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_25) Y_23)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_23) X_25))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (not (= X_2 Y_2)))) (forall ((X_24 $$unsorted) (Y_22 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_24) Y_22)) (not (= X_24 Y_22)))) (forall ((X_23 $$unsorted) (Y_21 $$unsorted)) (=> (not (= X_23 Y_21)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_23) Y_21))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_21) X_23))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2))) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (= X_2 Y_2)))) (forall ((X_22 $$unsorted) (Y_20 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_22) Y_20)) (= X_22 Y_20) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_20) X_22)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2)) (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (not (= X_2 Y_2)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2))))) (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) X_2)))) (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) X_2)))) (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) X_2)))) (forall ((X_21 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_21) X_21)))) (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_A1785763630i_bool A X_2)))) (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_bool_bool A X_2)))) (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_P1676879539t_bool A X_2)))) (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_P606313927t_bool A X_2)))) (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f965095724l_bool A X_2)))) (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f312250286l_bool A X_2)))) (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool A X_2)))) (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_nat_bool A X_2)))) (forall ((Pa $$unsorted)) (=> (tptp.is_fun1568535512t_bool Pa) (= (tptp.hAPP_f427533077t_bool tptp.collect_Product_unit Pa) Pa))) (forall ((Pa $$unsorted)) (=> (tptp.is_fun1236654035i_bool Pa) (= (tptp.hAPP_f580451669i_bool tptp.collec1611109369e_indi Pa) Pa))) (forall ((Pa $$unsorted)) (= (tptp.hAPP_f800510211t_bool tptp.collect_nat Pa) Pa)) (= tptp.top_to1853035173l_bool (tptp.hAPP_f111185985l_bool tptp.collec1553055422t_bool (tptp.hAPP_b1812770943l_bool tptp.cOMBK_1656150864t_bool tptp.fTrue))) (= tptp.top_to522745736l_bool (tptp.hAPP_f146009813l_bool tptp.collec1063742455t_bool (tptp.hAPP_b1048178734l_bool tptp.cOMBK_272667621t_bool tptp.fTrue))) (= tptp.top_to1714702858l_bool (tptp.hAPP_f1765205l_bool tptp.collec418781817t_bool (tptp.hAPP_b517355696l_bool tptp.cOMBK_1626390631t_bool tptp.fTrue))) (= tptp.top_to565915683t_bool (tptp.hAPP_f515126293t_bool tptp.collec2096990994le_alt (tptp.hAPP_b1703662281t_bool tptp.cOMBK_306730240le_alt tptp.fTrue))) (= tptp.top_to1576102282i_bool (tptp.hAPP_f580451669i_bool tptp.collec1611109369e_indi (tptp.hAPP_b1337486384i_bool tptp.cOMBK_575487463e_indi tptp.fTrue))) (= tptp.top_to1257323279t_bool (tptp.hAPP_f427533077t_bool tptp.collect_Product_unit (tptp.hAPP_b1096750261t_bool tptp.cOMBK_790042732t_unit tptp.fTrue))) (= tptp.top_top_fun_nat_bool (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_b1013836512t_bool tptp.cOMBK_bool_nat tptp.fTrue))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt X_2))) (let ((_let_2 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt _let_1 Y_2)))) (let ((_let_3 (= Y_2 Ba))) (let ((_let_4 (= X_2 Ba))) (=> (and (tptp.is_Arr1861959080le_alt X_2) (tptp.is_Arr1861959080le_alt Y_2) (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 (tptp.hAPP_A568203993t_bool (tptp.hAPP_A1941004017t_bool (tptp.hAPP_f344580165t_bool tptp.arrow_230821333_above L_3) Aa) Ba))) (and (not (= X_2 Y_2)) (=> _let_4 (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Y_2)) L_3))) (=> (not _let_4) (and (=> _let_3 (or (= X_2 Aa) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt _let_1 Aa)) L_3)))) (=> (not _let_3) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 L_3))))))))))))))) (forall ((S_1 $$unsorted) (R_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool S_1) (tptp.is_fun961089132t_bool R_1)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt X_1) Xa)))) (=> (and (tptp.is_Arr1861959080le_alt X_1) (tptp.is_Arr1861959080le_alt Xa)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 R_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 S_1)))))) (= R_1 S_1)))) (forall ((I $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool Fa) (tptp.pi_fun150026276t_bool tptp.arrow_1721807329e_Prof (tptp.hAPP_f1924755118l_bool tptp.cOMBK_2038534567t_bool tptp.arrow_1681063817le_Lin)))) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_1) tptp.arrow_1721807329e_Prof)) (forall ((A_27 $$unsorted) (B_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt A_27) B_25)))) (=> (and (tptp.is_Arr1861959080le_alt A_27) (tptp.is_Arr1861959080le_alt B_25)) (=> (not (= A_27 B_25)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_A1677245848t_bool X_1 I))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_f412050202t_bool Fa X_1)))))))))) (tptp.hBOOL (tptp.hAPP_A1785763630i_bool (tptp.hAPP_f1552576127i_bool tptp.arrow_610963188ctator Fa) I))))) _let_9 (= _let_13 _let_9) (forall ((I_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.a) tptp.b)))) (let ((_let_2 (tptp.hAPP_A1637648121di_nat tptp.h I_1))) (let ((_let_3 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_2))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_nat_bool _let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.n) tptp.one_one_nat))))) (let ((_let_5 (tptp.hAPP_A1677245848t_bool tptp.p I_1))) (let ((_let_6 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.c) tptp.e)))) (let ((_let_7 (= _let_2 tptp.n))) (let ((_let_8 (tptp.hBOOL (tptp.hAPP_nat_bool _let_3 tptp.n)))) (= (and (=> _let_8 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_6 (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1644373103_mktop _let_5) tptp.e)))) (=> (not _let_8) (and (=> _let_7 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_6 (tptp.hAPP_A568203993t_bool (tptp.hAPP_A1941004017t_bool (tptp.hAPP_f344580165t_bool tptp.arrow_230821333_above _let_5) tptp.c) tptp.e)))) (=> (not _let_7) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_6 (tptp.hAPP_A568203993t_bool (tptp.hAPP_f393984045t_bool tptp.arrow_1495666017_mkbot _let_5) tptp.e))))))) (and (=> _let_4 (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 tptp.lab))) (=> (not _let_4) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 tptp.lba)))))))))))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) tptp.top_to1576102282i_bool)) (=> (= (tptp.hAPP_A1637648121di_nat F X_2) Y_2) (= (tptp.hAPP_n1951273283e_indi (tptp.hilber693666498di_nat tptp.top_to1576102282i_bool F) Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)) (=> (= (tptp.hAPP_nat_nat F X_2) Y_2) (= (tptp.hAPP_nat_nat (tptp.hilber195283148at_nat tptp.top_top_fun_nat_bool F) Y_2) X_2)))) (forall ((X_2 $$unsorted) (F $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) tptp.top_to1576102282i_bool)) (= (tptp.hAPP_n1951273283e_indi (tptp.hilber693666498di_nat tptp.top_to1576102282i_bool F) (tptp.hAPP_A1637648121di_nat F X_2)) X_2)))) (forall ((X_2 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)) (= (tptp.hAPP_nat_nat (tptp.hilber195283148at_nat tptp.top_top_fun_nat_bool F) (tptp.hAPP_nat_nat F X_2)) X_2))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool F) (tptp.pi_Pro666468413t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P606313927t_bool F X_2)) (tptp.hAPP_P324742453l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1837019376l_bool (tptp.hAPP_f721935245l_bool tptp.member797673069le_alt F) (tptp.pi_Arr1199386158le_alt A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A638717112le_alt F X_2)) (tptp.hAPP_A1677245848t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1351174655l_bool (tptp.hAPP_f2127575245l_bool tptp.member1463820796le_alt F) (tptp.pi_boo115158845le_alt A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_b55004359le_alt F X_2)) (tptp.hAPP_b1703662281t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f415146997l_bool (tptp.hAPP_f1868437069l_bool tptp.member1648671474le_alt F) (tptp.pi_Pro1928973619le_alt A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_P504138941le_alt F X_2)) (tptp.hAPP_P1341894483t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1252760917l_bool (tptp.hAPP_f40035149l_bool tptp.member855864530t_bool F) (tptp.pi_Arr2020412179t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_A2102641565t_bool F X_2)) (tptp.hAPP_A1952883197l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f599145828l_bool (tptp.hAPP_f2116028941l_bool tptp.member2056165217t_bool F) (tptp.pi_boo175444770t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_b317196972t_bool F X_2)) (tptp.hAPP_b1048178734l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f844512602l_bool (tptp.hAPP_f1228804237l_bool tptp.member2075448919t_bool F) (tptp.pi_Pro610293528t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_P741208226t_bool F X_2)) (tptp.hAPP_P254387896l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f785974231l_bool (tptp.hAPP_f937842381l_bool tptp.member383660628t_bool F) (tptp.pi_Arr1936979349t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_A479848479t_bool F X_2)) (tptp.hAPP_A1112981887l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f651410150l_bool (tptp.hAPP_f742962061l_bool tptp.member478669795t_bool F) (tptp.pi_boo1117000868t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_b1376601646t_bool F X_2)) (tptp.hAPP_b517355696l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1508442332l_bool (tptp.hAPP_f792869389l_bool tptp.member1323987161t_bool F) (tptp.pi_Pro1880661658t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_P58618404t_bool F X_2)) (tptp.hAPP_P1171466554l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f817604743l_bool (tptp.hAPP_f1345320373l_bool tptp.member357566570t_bool F) (tptp.pi_boo538701011t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_b1703662281t_bool F X_2)) (tptp.hAPP_b1812770943l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1846209297l_bool (tptp.hAPP_f1865430217l_bool tptp.member27872244t_bool F) (tptp.pi_Pro718203741t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_P1341894483t_bool F X_2)) (tptp.hAPP_P1294997365l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1632652727l_bool (tptp.hAPP_f87193621l_bool tptp.member616133274di_nat F) (tptp.pi_Arr346900227di_nat A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_A1637648121di_nat F X_2)) (tptp.hAPP_A2046586321t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f67777128l_bool (tptp.hAPP_f144393719l_bool tptp.member_fun_bool_nat F) (tptp.pi_bool_nat A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_bool_nat F X_2)) (tptp.hAPP_b1013836512t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f339859954l_bool (tptp.hAPP_f1950626059l_bool tptp.member87760213it_nat F) (tptp.pi_Product_unit_nat A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P426034740it_nat F X_2)) (tptp.hAPP_P32877782t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1306865520l_bool (tptp.hAPP_f407092109l_bool tptp.member234128621e_indi F) (tptp.pi_Pro1270767662e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_P710098616e_indi F X_2)) (tptp.hAPP_P1875867302i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f22590837l_bool (tptp.hAPP_f1847883341l_bool tptp.member2079083634t_unit F) (tptp.pi_Pro1122146355t_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_P1844795325t_unit F X_2)) (tptp.hAPP_P332578347t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1725204053l_bool (tptp.hAPP_f666018637l_bool tptp.member905797074e_indi F) (tptp.pi_fun753830419e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f836059805e_indi F X_2)) (tptp.hAPP_f1948454017i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f597137892l_bool (tptp.hAPP_f1175923213l_bool tptp.member989885409l_bool F) (tptp.pi_fun823343522l_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f965095724l_bool F X_2)) (tptp.hAPP_f839832464l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f770608346l_bool (tptp.hAPP_f974155917l_bool tptp.member88647127t_unit F) (tptp.pi_fun1877263000t_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f2008177698t_unit F X_2)) (tptp.hAPP_f1891021702t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f10461143l_bool (tptp.hAPP_f1339774669l_bool tptp.member832622164e_indi F) (tptp.pi_fun1002945429e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f1693298207e_indi F X_2)) (tptp.hAPP_f1552576127i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f859154022l_bool (tptp.hAPP_f976491405l_bool tptp.member2061588323l_bool F) (tptp.pi_fun52649508l_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f312250286l_bool F X_2)) (tptp.hAPP_f1624277646l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1644647260l_bool (tptp.hAPP_f1633671693l_bool tptp.member872366937t_unit F) (tptp.pi_fun321364250t_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f646804644t_unit F X_2)) (tptp.hAPP_f1866147972t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560831258l_bool (tptp.hAPP_f1153917531l_bool tptp.member1036419453e_indi F) (tptp.pi_fun896360044e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f1582908258e_indi F X_2)) (tptp.hAPP_f244157820i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f167218729l_bool (tptp.hAPP_f1666015481l_bool tptp.member880664588l_bool F) (tptp.pi_fun1575168891l_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f592646513l_bool F X_2)) (tptp.hAPP_f210572555l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f866275871l_bool (tptp.hAPP_f1093990629l_bool tptp.member1860104450t_unit F) (tptp.pi_fun308431217t_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f932121959t_unit F X_2)) (tptp.hAPP_f1710744577t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f795156475l_bool (tptp.hAPP_f586217629l_bool tptp.member1934698718e_indi F) (tptp.pi_nat660525389e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_n1951273283e_indi F X_2)) (tptp.hAPP_n821919323i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool F) (tptp.pi_nat_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_nat_bool F X_2)) (tptp.hAPP_n1006566506l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f537623936l_bool (tptp.hAPP_f1598887207l_bool tptp.member1024687843t_unit F) (tptp.pi_nat_Product_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_n633340360t_unit F X_2)) (tptp.hAPP_n454528608t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool F) (tptp.pi_fun150026276t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_f412050202t_bool F X_2)) (tptp.hAPP_f1277514478l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool F) (tptp.pi_Arr990697634t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_A1677245848t_bool F X_2)) (tptp.hAPP_A60074736l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba)) (=> (not (= Aa Ba)) (exists ((X_1 $$unsorted)) (and (tptp.is_fun961089132t_bool X_1) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_1) tptp.arrow_1681063817le_Lin)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Aa) Ba)) X_1))))))) (forall ((A $$unsorted)) (= (tptp.pi_Pro666468413t_bool A (tptp.hAPP_f2068374643l_bool tptp.cOMBK_246631416le_alt tptp.top_to1647826457l_bool)) tptp.top_to1853035173l_bool)) (forall ((A $$unsorted)) (= (tptp.pi_fun150026276t_bool A (tptp.hAPP_f1924755118l_bool tptp.cOMBK_2038534567t_bool tptp.top_to1853035173l_bool)) tptp.top_to1714702858l_bool)) (forall ((A $$unsorted)) (= (tptp.pi_Arr990697634t_bool A (tptp.hAPP_f1659309744l_bool tptp.cOMBK_657557929e_indi tptp.top_to1853035173l_bool)) tptp.top_to522745736l_bool)) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt X_2))) (let ((_let_2 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt _let_1 Y_2)))) (let ((_let_3 (= X_2 Aa))) (let ((_let_4 (= Y_2 Aa))) (=> (and (tptp.is_Arr1861959080le_alt X_2) (tptp.is_Arr1861959080le_alt Y_2) (tptp.is_Arr1861959080le_alt Aa) (tptp.is_Arr1861959080le_alt Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 (tptp.arrow_1539419881_below L_3 Aa Ba))) (and (not (= X_2 Y_2)) (=> _let_4 (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt _let_1 Ba)) L_3))) (=> (not _let_4) (and (=> _let_3 (or (= Y_2 Ba) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt Ba) Y_2)) L_3)))) (=> (not _let_3) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_2 L_3))))))))))))))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) X_2))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) X_2))) (forall ((X_20 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_20) X_20))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) X_2))) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) (tptp.hAPP_f2120083535ol_nat tptp.finite1686180860e_indi tptp.top_to1576102282i_bool))) (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.b) tptp.a)) (tptp.hAPP_f412050202t_bool tptp.f (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool (tptp.hAPP_f586238575t_bool (tptp.cOMBB_2107911302e_indi tptp.if_fun2098446489t_bool) (tptp.hAPP_n821919323i_bool (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi tptp.ord_less_nat) tptp.h)) M))) tptp.lab)) tptp.lba)))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.a) tptp.b)) (tptp.hAPP_f412050202t_bool tptp.f (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool (tptp.hAPP_f586238575t_bool (tptp.cOMBB_2107911302e_indi tptp.if_fun2098446489t_bool) (tptp.hAPP_n821919323i_bool (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi tptp.ord_less_nat) tptp.h)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N_1) tptp.one_one_nat)))) tptp.lab)) tptp.lba)))))) (not (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) (tptp.hAPP_f2120083535ol_nat tptp.finite1686180860e_indi tptp.top_to1576102282i_bool))) (=> (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.b) tptp.a)) (tptp.hAPP_f412050202t_bool tptp.f (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool (tptp.hAPP_f586238575t_bool (tptp.cOMBB_2107911302e_indi tptp.if_fun2098446489t_bool) (tptp.hAPP_n821919323i_bool (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi tptp.ord_less_nat) tptp.h)) M))) tptp.lab)) tptp.lba)))))) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A702847159le_alt (tptp.hAPP_A1505516597le_alt tptp.produc1400112471le_alt tptp.a) tptp.b)) (tptp.hAPP_f412050202t_bool tptp.f (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool (tptp.hAPP_f586238575t_bool (tptp.cOMBB_2107911302e_indi tptp.if_fun2098446489t_bool) (tptp.hAPP_n821919323i_bool (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi tptp.ord_less_nat) tptp.h)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N_1) tptp.one_one_nat)))) tptp.lab)) tptp.lba))))))))) (forall ((X_19 $$unsorted) (Y_19 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_19) Y_19))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_19) X_19)))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f592646513l_bool F X_2)) (tptp.hAPP_f592646513l_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f312250286l_bool F X_2)) (tptp.hAPP_f312250286l_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f965095724l_bool F X_2)) (tptp.hAPP_f965095724l_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_P606313927t_bool F X_2)) (tptp.hAPP_P606313927t_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_A1785763630i_bool F X_2)) (tptp.hAPP_A1785763630i_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_P1676879539t_bool F X_2)) (tptp.hAPP_P1676879539t_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool F) G)) (tptp.hBOOL (tptp.hAPP_f2013399995l_bool (tptp.hAPP_f1721660479l_bool tptp.ord_le893483153t_bool (tptp.hAPP_A1664620203t_bool F X_2)) (tptp.hAPP_A1664620203t_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_2)) (tptp.hAPP_nat_bool G X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 X_2)))))) (forall ((Z_7 $$unsorted) (Y_18 $$unsorted) (X_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_7))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_18) X_18)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_18)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X_18)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 X_2)))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool Y_2) (tptp.is_fun279392540l_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool Y_2) (tptp.is_fun158382675l_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool Y_2) (tptp.is_fun288122577l_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool Y_2) (tptp.is_fun961089132t_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool Y_2) (tptp.is_fun1236654035i_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool Y_2) (tptp.is_fun1568535512t_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool Y_2) (tptp.is_fun2093718614t_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_17 $$unsorted) (X_17 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_17) X_17)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_17) Y_17)) (= X_17 Y_17)))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (= X_2 Y_2)))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Z_2)))))) (forall ((Z_6 $$unsorted) (X_16 $$unsorted) (Y_16 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_16))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_16)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_16) Z_6)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_6)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Z_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_2) (tptp.is_fun279392540l_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) X_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_2) (tptp.is_fun158382675l_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) X_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_2) (tptp.is_fun288122577l_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) X_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_2) (tptp.is_fun961089132t_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) X_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_2) (tptp.is_fun1236654035i_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) X_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_2) (tptp.is_fun1568535512t_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_2) (tptp.is_fun2093718614t_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) X_2)) (= X_2 Y_2))))) (forall ((X_15 $$unsorted) (Y_15 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_15) Y_15)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_15) X_15)) (= X_15 Y_15)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (= X_2 Y_2)))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Aa)) (=> (= (tptp.hBOOL Ba) (tptp.hBOOL Ca)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ca) Aa))))) (forall ((C_20 $$unsorted) (B_24 $$unsorted) (A_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_24) A_26)) (=> (= B_24 C_20) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_20) A_26))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Aa))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Ba)) (=> (= (tptp.hBOOL Ba) (tptp.hBOOL Ca)) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Ca)))))) (forall ((C_19 $$unsorted) (A_25 $$unsorted) (B_23 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_25))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_23)) (=> (= B_23 C_19) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_19)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ca)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ca))) (=> (= (tptp.hBOOL Aa) (tptp.hBOOL Ba)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Aa)))))) (forall ((C_18 $$unsorted) (A_24 $$unsorted) (B_22 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_18))) (=> (= A_24 B_22) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_22)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_24)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca))) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (= (tptp.hBOOL Aa) (tptp.hBOOL Ba)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) Ca))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Aa) Ca))))) (forall ((C_17 $$unsorted) (A_23 $$unsorted) (B_21 $$unsorted)) (=> (= A_23 B_21) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_21) C_17)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_23) C_17))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ca))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool Y_2) (tptp.is_fun279392540l_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool Y_2) (tptp.is_fun158382675l_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool Y_2) (tptp.is_fun288122577l_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool Y_2) (tptp.is_fun961089132t_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool Y_2) (tptp.is_fun1236654035i_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool Y_2) (tptp.is_fun1568535512t_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool Y_2) (tptp.is_fun2093718614t_bool X_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (= X_2 Y_2)))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f592646513l_bool F X_2)) (tptp.hAPP_f592646513l_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f312250286l_bool F X_2)) (tptp.hAPP_f312250286l_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f965095724l_bool F X_2)) (tptp.hAPP_f965095724l_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_P606313927t_bool F X_2)) (tptp.hAPP_P606313927t_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_A1785763630i_bool F X_2)) (tptp.hAPP_A1785763630i_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_P1676879539t_bool F X_2)) (tptp.hAPP_P1676879539t_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool F) G)) (tptp.hBOOL (tptp.hAPP_f2013399995l_bool (tptp.hAPP_f1721660479l_bool tptp.ord_le893483153t_bool (tptp.hAPP_A1664620203t_bool F X_2)) (tptp.hAPP_A1664620203t_bool G X_2))))) (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_2)) (tptp.hAPP_nat_bool G X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)))) (forall ((X_14 $$unsorted) (Y_14 $$unsorted)) (=> (= X_14 Y_14) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_14) Y_14)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_2) (tptp.is_fun279392540l_bool Y_2)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_2) (tptp.is_fun158382675l_bool Y_2)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_2) (tptp.is_fun288122577l_bool Y_2)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_2) (tptp.is_fun961089132t_bool Y_2)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) X_2)))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (= (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_2) (tptp.is_fun1236654035i_bool Y_2)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_2) (tptp.is_fun1568535512t_bool Y_2)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_2) (tptp.is_fun2093718614t_bool Y_2)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2))))) (forall ((X_13 $$unsorted) (Y_13 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_13) Y_13)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_13) X_13)))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool F) G)) (forall ((X_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool X_1) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f592646513l_bool F X_1)) (tptp.hAPP_f592646513l_bool G X_1))))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool F) G)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f312250286l_bool F X_1)) (tptp.hAPP_f312250286l_bool G X_1)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool F) G)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f965095724l_bool F X_1)) (tptp.hAPP_f965095724l_bool G X_1)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool F) G)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_P606313927t_bool F X_1)) (tptp.hAPP_P606313927t_bool G X_1)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool F) G)) (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_1) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_A1785763630i_bool F X_1)) (tptp.hAPP_A1785763630i_bool G X_1))))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool F) G)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_P1676879539t_bool F X_1)) (tptp.hAPP_P1676879539t_bool G X_1)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool F) G)) (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr1861959080le_alt X_1) (tptp.hBOOL (tptp.hAPP_f2013399995l_bool (tptp.hAPP_f1721660479l_bool tptp.ord_le893483153t_bool (tptp.hAPP_A1664620203t_bool F X_1)) (tptp.hAPP_A1664620203t_bool G X_1))))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool G X_1)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2)))) (forall ((X_12 $$unsorted) (Y_12 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_12) Y_12)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_12) X_12)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_2) (tptp.is_fun1568535512t_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (not (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_2) (tptp.is_fun1236654035i_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (not (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_2) (tptp.is_fun279392540l_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (not (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_2) (tptp.is_fun158382675l_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)) (not (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_2) (tptp.is_fun288122577l_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)) (not (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_2) (tptp.is_fun961089132t_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)) (not (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (not (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_2) (tptp.is_fun2093718614t_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)) (not (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (not (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (not (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_2) (tptp.is_fun1568535512t_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_2) (tptp.is_fun1236654035i_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_2) (tptp.is_fun279392540l_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_2) (tptp.is_fun158382675l_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_2) (tptp.is_fun288122577l_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_2) (tptp.is_fun961089132t_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_2) (tptp.is_fun2093718614t_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (= X_2 Y_2)))) (forall ((X_11 $$unsorted) (Y_11 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_11) Y_11))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_11) X_11)))) (forall ((Y_10 $$unsorted) (X_10 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_10) X_10))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_10) Y_10)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (= X_2 Y_2)))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool Aa) (tptp.is_fun1568535512t_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool Aa) (tptp.is_fun1236654035i_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun279392540l_bool Aa) (tptp.is_fun279392540l_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun158382675l_bool Aa) (tptp.is_fun158382675l_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun288122577l_bool Aa) (tptp.is_fun288122577l_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun961089132t_bool Aa) (tptp.is_fun961089132t_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Aa) Ba)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (not (= (tptp.hBOOL Aa) (tptp.hBOOL Ba))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Aa) Ba))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool Aa) (tptp.is_fun2093718614t_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba))))) (forall ((A_22 $$unsorted) (B_20 $$unsorted)) (=> (not (= A_22 B_20)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_22) B_20)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_22) B_20))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool Aa) (tptp.is_fun1568535512t_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool Aa) (tptp.is_fun1236654035i_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Aa)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun279392540l_bool Aa) (tptp.is_fun279392540l_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Ba) Aa)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun158382675l_bool Aa) (tptp.is_fun158382675l_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Ba) Aa)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun288122577l_bool Aa) (tptp.is_fun288122577l_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Ba) Aa)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun961089132t_bool Aa) (tptp.is_fun961089132t_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Ba) Aa)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (not (= (tptp.hBOOL Aa) (tptp.hBOOL Ba))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Ba) Aa))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool Aa) (tptp.is_fun2093718614t_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Ba) Aa)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa))))) (forall ((A_21 $$unsorted) (B_19 $$unsorted)) (=> (not (= A_21 B_19)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_19) A_21)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_19) A_21))))) (forall ((Y_9 $$unsorted) (X_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_9) X_9)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_9) Y_9))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)))) (forall ((X_8 $$unsorted) (Y_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_8) Y_8)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_8) Y_8)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_2) (tptp.is_fun1568535512t_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_2) (tptp.is_fun1236654035i_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Y_2)) (= X_2 Y_2))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_2) (tptp.is_fun279392540l_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (or (tptp.hBOOL 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(tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun279392540l_bool Aa) (tptp.is_fun279392540l_bool Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Aa) Ba)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun158382675l_bool Aa) (tptp.is_fun158382675l_bool Ba)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Aa) Ba)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Aa) Ba)))))) (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun288122577l_bool Aa) (tptp.is_fun288122577l_bool Ba)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool 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(tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool Ba) (tptp.is_fun1236654035i_bool Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Aa)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (and (tptp.is_fun279392540l_bool Ba) (tptp.is_fun279392540l_bool Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Ba) Aa)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (and (tptp.is_fun158382675l_bool Ba) (tptp.is_fun158382675l_bool Aa)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Ba) Aa)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (and (tptp.is_fun288122577l_bool Ba) (tptp.is_fun288122577l_bool Aa)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Ba) Aa)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (and (tptp.is_fun961089132t_bool Ba) (tptp.is_fun961089132t_bool Aa)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Ba) Aa)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Aa)) (=> (not (= (tptp.hBOOL Aa) (tptp.hBOOL Ba))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Ba) Aa))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool Ba) (tptp.is_fun2093718614t_bool Aa)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Ba) Aa)))))) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa))))) (forall ((B_17 $$unsorted) (A_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_17) A_19)) (=> (not (= A_19 B_17)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_17) A_19))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Z_2)))))) (forall ((Z_5 $$unsorted) (X_6 $$unsorted) (Y_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_6))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_6) Z_5)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_5)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Z_2) X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Z_2) X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Z_2) X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Z_2) X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Z_2) X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Z_2) X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Z_2) X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Z_2) X_2))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_2) X_2))))) (forall ((Z_4 $$unsorted) (Y_5 $$unsorted) (X_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_5) X_5)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_4) Y_5)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_4) X_5))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Z_2))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_2) Z_2))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool X_2) Z_2))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool X_2) Z_2))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool X_2) Z_2))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool X_2) Z_2))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Z_2))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool X_2) Z_2))))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Z_2))))) (forall ((Z_3 $$unsorted) (X_4 $$unsorted) (Y_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_4) Y_4)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_4) Z_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_4) Z_3))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 X_2)))))) (forall ((Z_2 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 X_2)))))) (forall ((Z_1 $$unsorted) (Y_3 $$unsorted) (X_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_3) X_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_3)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X_3)))))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Aa) tptp.top_to1853035173l_bool))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Aa) tptp.top_to522745736l_bool))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Aa) tptp.top_to1714702858l_bool))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) tptp.top_top_bool))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Aa) tptp.top_to565915683t_bool))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Aa) tptp.top_to178429151t_bool))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Aa) tptp.top_to1576102282i_bool))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) tptp.top_top_fun_nat_bool))) (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) tptp.top_to1257323279t_bool))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun279392540l_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool tptp.top_to1853035173l_bool) Aa)) (= Aa tptp.top_to1853035173l_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun288122577l_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool tptp.top_to522745736l_bool) Aa)) (= Aa tptp.top_to522745736l_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun158382675l_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool tptp.top_to1714702858l_bool) Aa)) (= Aa tptp.top_to1714702858l_bool)))) (forall ((Aa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.top_top_bool) Aa)) (= (tptp.hBOOL Aa) (tptp.hBOOL tptp.top_top_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun961089132t_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool tptp.top_to565915683t_bool) Aa)) (= Aa tptp.top_to565915683t_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun2093718614t_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool tptp.top_to178429151t_bool) Aa)) (= Aa tptp.top_to178429151t_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun1236654035i_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool tptp.top_to1576102282i_bool) Aa)) (= Aa tptp.top_to1576102282i_bool)))) (forall ((Aa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.top_top_fun_nat_bool) Aa)) (= Aa tptp.top_top_fun_nat_bool))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun1568535512t_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool tptp.top_to1257323279t_bool) Aa)) (= Aa tptp.top_to1257323279t_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun279392540l_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool tptp.top_to1853035173l_bool) Aa)) (= Aa tptp.top_to1853035173l_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun288122577l_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool tptp.top_to522745736l_bool) Aa)) (= Aa tptp.top_to522745736l_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun158382675l_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool tptp.top_to1714702858l_bool) Aa)) (= Aa tptp.top_to1714702858l_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.top_top_bool) Aa)) (= (tptp.hBOOL Aa) (tptp.hBOOL tptp.top_top_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun961089132t_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool tptp.top_to565915683t_bool) Aa)) (= Aa tptp.top_to565915683t_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun2093718614t_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool tptp.top_to178429151t_bool) Aa)) (= Aa tptp.top_to178429151t_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun1236654035i_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool tptp.top_to1576102282i_bool) Aa)) (= Aa tptp.top_to1576102282i_bool)))) (forall ((Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.top_top_fun_nat_bool) Aa)) (= Aa tptp.top_top_fun_nat_bool))) (forall ((Aa $$unsorted)) (=> (tptp.is_fun1568535512t_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool tptp.top_to1257323279t_bool) Aa)) (= Aa tptp.top_to1257323279t_bool)))) (forall ((F $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) A)) (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_1) A)) (forall ((Xa $$unsorted)) (=> (tptp.is_Arr43961803e_indi Xa) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi Xa) A)) (=> (= (tptp.hAPP_A1637648121di_nat F X_1) (tptp.hAPP_A1637648121di_nat F Xa)) (= X_1 Xa)))))))))) (forall ((F $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Xa) A)) (=> (= (tptp.hAPP_nat_nat F X_1) (tptp.hAPP_nat_nat F Xa)) (= X_1 Xa)))))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (and (tptp.is_Arr43961803e_indi X_2) (tptp.is_Arr43961803e_indi Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) A)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi Y_2) A)) (not (= (tptp.hAPP_A1637648121di_nat F X_2) (tptp.hAPP_A1637648121di_nat F Y_2))))))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Y_2) A)) (not (= (tptp.hAPP_nat_nat F X_2) (tptp.hAPP_nat_nat F Y_2)))))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (and (tptp.is_Arr43961803e_indi Y_2) (tptp.is_Arr43961803e_indi X_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi Y_2) A)) (= (= (tptp.hAPP_A1637648121di_nat F X_2) (tptp.hAPP_A1637648121di_nat F Y_2)) (= X_2 Y_2))))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Y_2) A)) (= (= (tptp.hAPP_nat_nat F X_2) (tptp.hAPP_nat_nat F Y_2)) (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (and (tptp.is_Arr43961803e_indi X_2) (tptp.is_Arr43961803e_indi Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) A)) (=> (= (tptp.hAPP_A1637648121di_nat F X_2) (tptp.hAPP_A1637648121di_nat F Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi Y_2) A)) (= X_2 Y_2))))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (= (tptp.hAPP_nat_nat F X_2) (tptp.hAPP_nat_nat F Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Y_2) A)) (= X_2 Y_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool F) (tptp.pi_Pro666468413t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P606313927t_bool F X_2)) (tptp.hAPP_P324742453l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1306865520l_bool (tptp.hAPP_f407092109l_bool tptp.member234128621e_indi F) (tptp.pi_Pro1270767662e_indi A B))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_P710098616e_indi F X_2)) (tptp.hAPP_P1875867302i_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f22590837l_bool (tptp.hAPP_f1847883341l_bool tptp.member2079083634t_unit F) (tptp.pi_Pro1122146355t_unit A B))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_P1844795325t_unit F X_2)) (tptp.hAPP_P332578347t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1725204053l_bool (tptp.hAPP_f666018637l_bool tptp.member905797074e_indi F) (tptp.pi_fun753830419e_indi A B))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f836059805e_indi F X_2)) (tptp.hAPP_f1948454017i_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f597137892l_bool (tptp.hAPP_f1175923213l_bool tptp.member989885409l_bool F) (tptp.pi_fun823343522l_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f965095724l_bool F X_2)) (tptp.hAPP_f839832464l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f770608346l_bool (tptp.hAPP_f974155917l_bool tptp.member88647127t_unit F) (tptp.pi_fun1877263000t_unit A B))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f2008177698t_unit F X_2)) (tptp.hAPP_f1891021702t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f10461143l_bool (tptp.hAPP_f1339774669l_bool tptp.member832622164e_indi F) (tptp.pi_fun1002945429e_indi A B))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f1693298207e_indi F X_2)) (tptp.hAPP_f1552576127i_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f859154022l_bool (tptp.hAPP_f976491405l_bool tptp.member2061588323l_bool F) (tptp.pi_fun52649508l_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f312250286l_bool F X_2)) (tptp.hAPP_f1624277646l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1644647260l_bool (tptp.hAPP_f1633671693l_bool tptp.member872366937t_unit F) (tptp.pi_fun321364250t_unit A B))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f646804644t_unit F X_2)) (tptp.hAPP_f1866147972t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560831258l_bool (tptp.hAPP_f1153917531l_bool tptp.member1036419453e_indi F) (tptp.pi_fun896360044e_indi A B))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f1582908258e_indi F X_2)) (tptp.hAPP_f244157820i_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f167218729l_bool (tptp.hAPP_f1666015481l_bool tptp.member880664588l_bool F) (tptp.pi_fun1575168891l_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f592646513l_bool F X_2)) (tptp.hAPP_f210572555l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f866275871l_bool (tptp.hAPP_f1093990629l_bool tptp.member1860104450t_unit F) (tptp.pi_fun308431217t_unit A B))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f932121959t_unit F X_2)) (tptp.hAPP_f1710744577t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f795156475l_bool (tptp.hAPP_f586217629l_bool tptp.member1934698718e_indi F) (tptp.pi_nat660525389e_indi A B))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_n1951273283e_indi F X_2)) (tptp.hAPP_n821919323i_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool F) (tptp.pi_nat_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_nat_bool F X_2)) (tptp.hAPP_n1006566506l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f537623936l_bool (tptp.hAPP_f1598887207l_bool tptp.member1024687843t_unit F) (tptp.pi_nat_Product_unit A B))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_n633340360t_unit F X_2)) (tptp.hAPP_n454528608t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1837019376l_bool (tptp.hAPP_f721935245l_bool tptp.member797673069le_alt F) (tptp.pi_Arr1199386158le_alt A B))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A638717112le_alt F X_2)) (tptp.hAPP_A1677245848t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1351174655l_bool (tptp.hAPP_f2127575245l_bool tptp.member1463820796le_alt F) (tptp.pi_boo115158845le_alt A B))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_b55004359le_alt F X_2)) (tptp.hAPP_b1703662281t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f415146997l_bool (tptp.hAPP_f1868437069l_bool tptp.member1648671474le_alt F) (tptp.pi_Pro1928973619le_alt A B))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_P504138941le_alt F X_2)) (tptp.hAPP_P1341894483t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1252760917l_bool (tptp.hAPP_f40035149l_bool tptp.member855864530t_bool F) (tptp.pi_Arr2020412179t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_A2102641565t_bool F X_2)) (tptp.hAPP_A1952883197l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f599145828l_bool (tptp.hAPP_f2116028941l_bool tptp.member2056165217t_bool F) (tptp.pi_boo175444770t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_b317196972t_bool F X_2)) (tptp.hAPP_b1048178734l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f844512602l_bool (tptp.hAPP_f1228804237l_bool tptp.member2075448919t_bool F) (tptp.pi_Pro610293528t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_P741208226t_bool F X_2)) (tptp.hAPP_P254387896l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f785974231l_bool (tptp.hAPP_f937842381l_bool tptp.member383660628t_bool F) (tptp.pi_Arr1936979349t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_A479848479t_bool F X_2)) (tptp.hAPP_A1112981887l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f651410150l_bool (tptp.hAPP_f742962061l_bool tptp.member478669795t_bool F) (tptp.pi_boo1117000868t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_b1376601646t_bool F X_2)) (tptp.hAPP_b517355696l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1508442332l_bool (tptp.hAPP_f792869389l_bool tptp.member1323987161t_bool F) (tptp.pi_Pro1880661658t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_P58618404t_bool F X_2)) (tptp.hAPP_P1171466554l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f817604743l_bool (tptp.hAPP_f1345320373l_bool tptp.member357566570t_bool F) (tptp.pi_boo538701011t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_b1703662281t_bool F X_2)) (tptp.hAPP_b1812770943l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1846209297l_bool (tptp.hAPP_f1865430217l_bool tptp.member27872244t_bool F) (tptp.pi_Pro718203741t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_P1341894483t_bool F X_2)) (tptp.hAPP_P1294997365l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1632652727l_bool (tptp.hAPP_f87193621l_bool tptp.member616133274di_nat F) (tptp.pi_Arr346900227di_nat A B))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_A1637648121di_nat F X_2)) (tptp.hAPP_A2046586321t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f67777128l_bool (tptp.hAPP_f144393719l_bool tptp.member_fun_bool_nat F) (tptp.pi_bool_nat A B))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_bool_nat F X_2)) (tptp.hAPP_b1013836512t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f339859954l_bool (tptp.hAPP_f1950626059l_bool tptp.member87760213it_nat F) (tptp.pi_Product_unit_nat A B))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P426034740it_nat F X_2)) (tptp.hAPP_P32877782t_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool F) (tptp.pi_fun150026276t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_f412050202t_bool F X_2)) (tptp.hAPP_f1277514478l_bool B X_2)))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool F) (tptp.pi_Arr990697634t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_A1677245848t_bool F X_2)) (tptp.hAPP_A60074736l_bool B X_2)))))) (forall ((L_3 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_Arr1861959080le_alt X_2) (tptp.is_Arr1861959080le_alt Y_2)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_3) tptp.arrow_1681063817le_Lin)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.arrow_1539419881_below L_3 X_2 Y_2)) tptp.arrow_1681063817le_Lin)))))) (= tptp.arrow_1721807329e_Prof (tptp.pi_Arr990697634t_bool tptp.top_to1576102282i_bool (tptp.hAPP_f1659309744l_bool tptp.cOMBK_657557929e_indi tptp.arrow_1681063817le_Lin))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat tptp.cOMBI_nat) A))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool F) (tptp.pi_Pro666468413t_bool A (tptp.hAPP_f2068374643l_bool tptp.cOMBK_246631416le_alt B)))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P606313927t_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1306865520l_bool (tptp.hAPP_f407092109l_bool tptp.member234128621e_indi F) (tptp.pi_Pro1270767662e_indi A (tptp.hAPP_f1348208725i_bool tptp.cOMBK_1915602921le_alt B)))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_P710098616e_indi F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f22590837l_bool (tptp.hAPP_f1847883341l_bool tptp.member2079083634t_unit F) (tptp.pi_Pro1122146355t_unit A (tptp.hAPP_f1165814111t_bool tptp.cOMBK_859929070le_alt B)))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_P1844795325t_unit F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1725204053l_bool (tptp.hAPP_f666018637l_bool tptp.member905797074e_indi F) (tptp.pi_fun753830419e_indi A (tptp.hAPP_f1368393520i_bool tptp.cOMBK_684046286t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f836059805e_indi F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f597137892l_bool (tptp.hAPP_f1175923213l_bool tptp.member989885409l_bool F) (tptp.pi_fun823343522l_bool A (tptp.hAPP_f746617550l_bool tptp.cOMBK_370033373t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f965095724l_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f770608346l_bool (tptp.hAPP_f974155917l_bool tptp.member88647127t_unit F) (tptp.pi_fun1877263000t_unit A (tptp.hAPP_f587035834t_bool tptp.cOMBK_1048254163t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f2008177698t_unit F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f10461143l_bool (tptp.hAPP_f1339774669l_bool tptp.member832622164e_indi F) (tptp.pi_fun1002945429e_indi A (tptp.hAPP_f2129183278i_bool tptp.cOMBK_1626211664t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f1693298207e_indi F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f859154022l_bool (tptp.hAPP_f976491405l_bool tptp.member2061588323l_bool F) (tptp.pi_fun52649508l_bool A (tptp.hAPP_f214899148l_bool tptp.cOMBK_2117707615t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f312250286l_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1644647260l_bool (tptp.hAPP_f1633671693l_bool tptp.member872366937t_unit F) (tptp.pi_fun321364250t_unit A (tptp.hAPP_f894574520t_bool tptp.cOMBK_1733280085t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f646804644t_unit F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560831258l_bool (tptp.hAPP_f1153917531l_bool tptp.member1036419453e_indi F) (tptp.pi_fun896360044e_indi A (tptp.hAPP_f2136780329i_bool tptp.cOMBK_480812327t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f1582908258e_indi F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f167218729l_bool (tptp.hAPP_f1666015481l_bool tptp.member880664588l_bool F) (tptp.pi_fun1575168891l_bool A (tptp.hAPP_f1460506473l_bool tptp.cOMBK_1693871704t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f592646513l_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f866275871l_bool (tptp.hAPP_f1093990629l_bool tptp.member1860104450t_unit F) (tptp.pi_fun308431217t_unit A (tptp.hAPP_f478658281t_bool tptp.cOMBK_1589894370t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f932121959t_unit F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f795156475l_bool (tptp.hAPP_f586217629l_bool tptp.member1934698718e_indi F) (tptp.pi_nat660525389e_indi A (tptp.hAPP_f314556040i_bool tptp.cOMBK_1616043528ol_nat B)))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_n1951273283e_indi F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool F) (tptp.pi_nat_bool A (tptp.hAPP_f1579826888l_bool tptp.cOMBK_623810489ol_nat B)))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_nat_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f537623936l_bool (tptp.hAPP_f1598887207l_bool tptp.member1024687843t_unit F) (tptp.pi_nat_Product_unit A (tptp.hAPP_f1539020360t_bool tptp.cOMBK_649751363ol_nat B)))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_n633340360t_unit F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1837019376l_bool (tptp.hAPP_f721935245l_bool tptp.member797673069le_alt F) (tptp.pi_Arr1199386158le_alt A (tptp.hAPP_f329301088t_bool tptp.cOMBK_1076156777e_indi B)))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A638717112le_alt F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1351174655l_bool (tptp.hAPP_f2127575245l_bool tptp.member1463820796le_alt F) (tptp.pi_boo115158845le_alt A (tptp.hAPP_f340261009t_bool tptp.cOMBK_545135096l_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_b55004359le_alt F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f415146997l_bool (tptp.hAPP_f1868437069l_bool tptp.member1648671474le_alt F) (tptp.pi_Pro1928973619le_alt A (tptp.hAPP_f1066247963t_bool tptp.cOMBK_812212462t_unit B)))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_P504138941le_alt F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1252760917l_bool (tptp.hAPP_f40035149l_bool tptp.member855864530t_bool F) (tptp.pi_Arr2020412179t_bool A (tptp.hAPP_f1686853802l_bool tptp.cOMBK_215999438e_indi B)))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_A2102641565t_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f599145828l_bool (tptp.hAPP_f2116028941l_bool tptp.member2056165217t_bool F) (tptp.pi_boo175444770t_bool A (tptp.hAPP_f823172443l_bool tptp.cOMBK_1021277149l_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_b317196972t_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f844512602l_bool (tptp.hAPP_f1228804237l_bool tptp.member2075448919t_bool F) (tptp.pi_Pro610293528t_bool A (tptp.hAPP_f512628453l_bool tptp.cOMBK_295807955t_unit B)))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_P741208226t_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f785974231l_bool (tptp.hAPP_f937842381l_bool tptp.member383660628t_bool F) (tptp.pi_Arr1936979349t_bool A (tptp.hAPP_f2069340078l_bool tptp.cOMBK_1389630288e_indi B)))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_A479848479t_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f651410150l_bool (tptp.hAPP_f742962061l_bool tptp.member478669795t_bool F) (tptp.pi_boo1117000868t_bool A (tptp.hAPP_f779223135l_bool tptp.cOMBK_1305974367l_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_b1376601646t_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1508442332l_bool (tptp.hAPP_f792869389l_bool tptp.member1323987161t_bool F) (tptp.pi_Pro1880661658t_bool A (tptp.hAPP_f1028353513l_bool tptp.cOMBK_731023445t_unit B)))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_P58618404t_bool F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f817604743l_bool (tptp.hAPP_f1345320373l_bool tptp.member357566570t_bool F) (tptp.pi_boo538701011t_bool A (tptp.hAPP_f256804927l_bool tptp.cOMBK_69806648l_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool 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(tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_A1637648121di_nat F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f67777128l_bool (tptp.hAPP_f144393719l_bool tptp.member_fun_bool_nat F) (tptp.pi_bool_nat A (tptp.hAPP_f1247925759t_bool tptp.cOMBK_1034797721l_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_bool_nat F X_2)) B))))) (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f339859954l_bool (tptp.hAPP_f1950626059l_bool tptp.member87760213it_nat F) (tptp.pi_Product_unit_nat A (tptp.hAPP_f1212412661t_bool tptp.cOMBK_356206223t_unit B)))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool 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(tptp.hilber195283148at_nat A F) (tptp.hAPP_nat_nat F X_2)) X_2)))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_2) A)) (=> (= (tptp.hAPP_A1637648121di_nat F X_2) Y_2) (= (tptp.hAPP_n1951273283e_indi (tptp.hilber693666498di_nat A F) Y_2) X_2)))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (= (tptp.hAPP_nat_nat F X_2) Y_2) (= (tptp.hAPP_nat_nat (tptp.hilber195283148at_nat A F) Y_2) X_2))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool 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(tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f2008177698t_unit F X_1)) (tptp.hAPP_f1891021702t_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f770608346l_bool (tptp.hAPP_f974155917l_bool tptp.member88647127t_unit F) (tptp.pi_fun1877263000t_unit A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi (tptp.hAPP_f1693298207e_indi F X_1)) (tptp.hAPP_f1552576127i_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f10461143l_bool (tptp.hAPP_f1339774669l_bool tptp.member832622164e_indi F) (tptp.pi_fun1002945429e_indi A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f312250286l_bool F X_1)) (tptp.hAPP_f1624277646l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f859154022l_bool (tptp.hAPP_f976491405l_bool tptp.member2061588323l_bool F) (tptp.pi_fun52649508l_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f646804644t_unit F X_1)) (tptp.hAPP_f1866147972t_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f1644647260l_bool (tptp.hAPP_f1633671693l_bool tptp.member872366937t_unit F) (tptp.pi_fun321364250t_unit A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> 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(tptp.pi_nat660525389e_indi A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_n1006566506l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool F) (tptp.pi_nat_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_n633340360t_unit F X_1)) (tptp.hAPP_n454528608t_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f537623936l_bool (tptp.hAPP_f1598887207l_bool tptp.member1024687843t_unit F) (tptp.pi_nat_Product_unit A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_A638717112le_alt F X_1)) (tptp.hAPP_A1677245848t_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f1837019376l_bool (tptp.hAPP_f721935245l_bool tptp.member797673069le_alt F) (tptp.pi_Arr1199386158le_alt A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_b55004359le_alt F X_1)) (tptp.hAPP_b1703662281t_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f1351174655l_bool (tptp.hAPP_f2127575245l_bool tptp.member1463820796le_alt F) (tptp.pi_boo115158845le_alt A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_1) A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt (tptp.hAPP_P504138941le_alt F X_1)) (tptp.hAPP_P1341894483t_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f415146997l_bool (tptp.hAPP_f1868437069l_bool tptp.member1648671474le_alt F) (tptp.pi_Pro1928973619le_alt A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_A2102641565t_bool F X_1)) (tptp.hAPP_A1952883197l_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f1252760917l_bool (tptp.hAPP_f40035149l_bool tptp.member855864530t_bool F) (tptp.pi_Arr2020412179t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_b317196972t_bool F X_1)) (tptp.hAPP_b1048178734l_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f599145828l_bool (tptp.hAPP_f2116028941l_bool tptp.member2056165217t_bool F) (tptp.pi_boo175444770t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_1) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool (tptp.hAPP_P741208226t_bool F X_1)) (tptp.hAPP_P254387896l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f844512602l_bool (tptp.hAPP_f1228804237l_bool tptp.member2075448919t_bool F) (tptp.pi_Pro610293528t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_A479848479t_bool F X_1)) (tptp.hAPP_A1112981887l_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f785974231l_bool (tptp.hAPP_f937842381l_bool tptp.member383660628t_bool F) (tptp.pi_Arr1936979349t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_b1376601646t_bool F X_1)) (tptp.hAPP_b517355696l_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f651410150l_bool (tptp.hAPP_f742962061l_bool tptp.member478669795t_bool F) (tptp.pi_boo1117000868t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_1) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool (tptp.hAPP_P58618404t_bool F X_1)) (tptp.hAPP_P1171466554l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f1508442332l_bool (tptp.hAPP_f792869389l_bool tptp.member1323987161t_bool F) (tptp.pi_Pro1880661658t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_b1703662281t_bool F X_1)) (tptp.hAPP_b1812770943l_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f817604743l_bool (tptp.hAPP_f1345320373l_bool tptp.member357566570t_bool F) (tptp.pi_boo538701011t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_1) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_P1341894483t_bool F X_1)) (tptp.hAPP_P1294997365l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f1846209297l_bool (tptp.hAPP_f1865430217l_bool tptp.member27872244t_bool F) (tptp.pi_Pro718203741t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_A1637648121di_nat F X_1)) (tptp.hAPP_A2046586321t_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f1632652727l_bool (tptp.hAPP_f87193621l_bool tptp.member616133274di_nat F) (tptp.pi_Arr346900227di_nat A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_bool_nat F X_1)) (tptp.hAPP_b1013836512t_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f67777128l_bool (tptp.hAPP_f144393719l_bool tptp.member_fun_bool_nat F) (tptp.pi_bool_nat A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_1) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P426034740it_nat F X_1)) (tptp.hAPP_P32877782t_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f339859954l_bool (tptp.hAPP_f1950626059l_bool tptp.member87760213it_nat F) (tptp.pi_Product_unit_nat A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_1) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P606313927t_bool F X_1)) (tptp.hAPP_P324742453l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool F) (tptp.pi_Pro666468413t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_f412050202t_bool F X_1)) (tptp.hAPP_f1277514478l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool F) (tptp.pi_fun150026276t_bool A B))))) (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool (tptp.hAPP_A1677245848t_bool F X_1)) (tptp.hAPP_A60074736l_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool F) (tptp.pi_Arr990697634t_bool A B))))) (forall ((G $$unsorted) (F $$unsorted)) (=> (tptp.is_fun1217980910e_indi G) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) tptp.top_to1576102282i_bool)) (=> (forall ((X_1 $$unsorted)) (= (tptp.hAPP_A1637648121di_nat F (tptp.hAPP_n1951273283e_indi G X_1)) X_1)) (= (tptp.hilber693666498di_nat tptp.top_to1576102282i_bool F) G))))) (forall ((G $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)) (=> (forall ((X_1 $$unsorted)) (= (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat G X_1)) X_1)) (= (tptp.hilber195283148at_nat tptp.top_top_fun_nat_bool F) G)))) (forall ((A_18 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_18) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_18) tptp.one_one_nat)))) (forall ((C_16 $$unsorted) (D_3 $$unsorted) (A_17 $$unsorted) (B_16 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_17) B_16)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_16) D_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_17) C_16)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_16) D_3)))))) (forall ((C_15 $$unsorted) (D_2 $$unsorted) (A_16 $$unsorted) (B_15 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_16) B_15)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_15) D_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_16) C_15)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_15) D_2)))))) (forall ((F $$unsorted)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_Arr43961803e_indi X_1) (tptp.is_Arr43961803e_indi Y_1)) (=> (= (tptp.hAPP_A1637648121di_nat F X_1) (tptp.hAPP_A1637648121di_nat F Y_1)) (= X_1 Y_1)))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat F) tptp.top_to1576102282i_bool)))) (forall ((F $$unsorted)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= (tptp.hAPP_nat_nat F X_1) (tptp.hAPP_nat_nat F Y_1)) (= X_1 Y_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) (tptp.hAPP_f800510211t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F Y_1)) (tptp.hAPP_f800510211t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) (tptp.hAPP_f800510211t_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) (tptp.hAPP_f543204480t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F Y_1)) (tptp.hAPP_f543204480t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) (tptp.hAPP_f543204480t_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) (tptp.hAPP_f2026336507t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F Y_1)) (tptp.hAPP_f2026336507t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) (tptp.hAPP_f2026336507t_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) (tptp.hAPP_n1699378549t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F Y_1)) (tptp.hAPP_n1699378549t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) (tptp.hAPP_n1699378549t_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ca) (tptp.hAPP_n454528608t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F Y_1)) (tptp.hAPP_n454528608t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca) (tptp.hAPP_n454528608t_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ca) (tptp.hAPP_n821919323i_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F Y_1)) (tptp.hAPP_n821919323i_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ca) (tptp.hAPP_n821919323i_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ca) (tptp.hAPP_n1674354836l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F Y_1)) (tptp.hAPP_n1674354836l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Ca) (tptp.hAPP_n1674354836l_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ca) (tptp.hAPP_n295497947l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F Y_1)) (tptp.hAPP_n295497947l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Ca) (tptp.hAPP_n295497947l_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ca) (tptp.hAPP_n2095207769l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F Y_1)) (tptp.hAPP_n2095207769l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Ca) (tptp.hAPP_n2095207769l_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ca) (tptp.hAPP_n588788980t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F Y_1)) (tptp.hAPP_n588788980t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Ca) (tptp.hAPP_n588788980t_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ca) (tptp.hAPP_nat_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F Y_1)) (tptp.hAPP_nat_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Ca) (tptp.hAPP_nat_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ca) (tptp.hAPP_n539120590t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F Y_1)) (tptp.hAPP_n539120590t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Ca) (tptp.hAPP_n539120590t_bool F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) (tptp.hAPP_f22106695ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f22106695ol_nat F Y_1)) (tptp.hAPP_f22106695ol_nat F X_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) (tptp.hAPP_f22106695ol_nat F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) (tptp.hAPP_f2030293770ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F Y_1)) (tptp.hAPP_f2030293770ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) (tptp.hAPP_f2030293770ol_nat F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) (tptp.hAPP_f2120083535ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F Y_1)) (tptp.hAPP_f2120083535ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) (tptp.hAPP_f2120083535ol_nat F Aa))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_n1699378549t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F Y_1)) (tptp.hAPP_n1699378549t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_n1699378549t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 (tptp.hAPP_n454528608t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_n454528608t_bool F Y_1)) (tptp.hAPP_n454528608t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 (tptp.hAPP_n454528608t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 (tptp.hAPP_n821919323i_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_n821919323i_bool F Y_1)) (tptp.hAPP_n821919323i_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 (tptp.hAPP_n821919323i_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 (tptp.hAPP_n1674354836l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_n1674354836l_bool F Y_1)) (tptp.hAPP_n1674354836l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 (tptp.hAPP_n1674354836l_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 (tptp.hAPP_n295497947l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_n295497947l_bool F Y_1)) (tptp.hAPP_n295497947l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 (tptp.hAPP_n295497947l_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 (tptp.hAPP_n2095207769l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_n2095207769l_bool F Y_1)) (tptp.hAPP_n2095207769l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 (tptp.hAPP_n2095207769l_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_n588788980t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_n588788980t_bool F Y_1)) (tptp.hAPP_n588788980t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_n588788980t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 (tptp.hAPP_nat_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F Y_1)) (tptp.hAPP_nat_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 (tptp.hAPP_nat_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 (tptp.hAPP_n539120590t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_n539120590t_bool F Y_1)) (tptp.hAPP_n539120590t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 (tptp.hAPP_n539120590t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f800510211t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool F Y_1)) (tptp.hAPP_f800510211t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f800510211t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 (tptp.hAPP_f1061584978t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_f1061584978t_bool F Y_1)) (tptp.hAPP_f1061584978t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 (tptp.hAPP_f1061584978t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 (tptp.hAPP_f632777549i_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_f632777549i_bool F Y_1)) (tptp.hAPP_f632777549i_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 (tptp.hAPP_f632777549i_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 (tptp.hAPP_f769545506l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_f769545506l_bool F Y_1)) (tptp.hAPP_f769545506l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 (tptp.hAPP_f769545506l_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 (tptp.hAPP_f1449238989l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_f1449238989l_bool F Y_1)) (tptp.hAPP_f1449238989l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 (tptp.hAPP_f1449238989l_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 (tptp.hAPP_f226010187l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_f226010187l_bool F Y_1)) (tptp.hAPP_f226010187l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 (tptp.hAPP_f226010187l_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_f899613158t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_f899613158t_bool F Y_1)) (tptp.hAPP_f899613158t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_f899613158t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 (tptp.hAPP_f54304608l_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f54304608l_bool F Y_1)) (tptp.hAPP_f54304608l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 (tptp.hAPP_f54304608l_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 (tptp.hAPP_f861874780t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_f861874780t_bool F Y_1)) (tptp.hAPP_f861874780t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 (tptp.hAPP_f861874780t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f464145314t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_1) (tptp.is_fun279392540l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f464145314t_bool F Y_1)) (tptp.hAPP_f464145314t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f464145314t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f839525755t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_1) (tptp.is_fun158382675l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f839525755t_bool F Y_1)) (tptp.hAPP_f839525755t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f839525755t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f985923321t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_1) (tptp.is_fun288122577l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f985923321t_bool F Y_1)) (tptp.hAPP_f985923321t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f985923321t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f856106132t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_1) (tptp.is_fun961089132t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f856106132t_bool F Y_1)) (tptp.hAPP_f856106132t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f856106132t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_b1013836512t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_bool X_1) (tptp.is_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_b1013836512t_bool F Y_1)) (tptp.hAPP_b1013836512t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_b1013836512t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f2026336507t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f2026336507t_bool F Y_1)) (tptp.hAPP_f2026336507t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f2026336507t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f543204480t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f543204480t_bool F Y_1)) (tptp.hAPP_f543204480t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f543204480t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f1363542492t_bool F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_1) (tptp.is_fun2093718614t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f1363542492t_bool F Y_1)) (tptp.hAPP_f1363542492t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f1363542492t_bool F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1313392232ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_1) (tptp.is_fun279392540l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1313392232ol_nat F Y_1)) (tptp.hAPP_f1313392232ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1313392232ol_nat F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1695077327ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_1) (tptp.is_fun158382675l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1695077327ol_nat F Y_1)) (tptp.hAPP_f1695077327ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1695077327ol_nat F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f897066961ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_1) (tptp.is_fun288122577l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f897066961ol_nat F Y_1)) (tptp.hAPP_f897066961ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f897066961ol_nat F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f816335862ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_1) (tptp.is_fun961089132t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f816335862ol_nat F Y_1)) (tptp.hAPP_f816335862ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f816335862ol_nat F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_bool_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_bool X_1) (tptp.is_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_bool_nat F Y_1)) (tptp.hAPP_bool_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_bool_nat F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f2120083535ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2120083535ol_nat F Y_1)) (tptp.hAPP_f2120083535ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f2120083535ol_nat F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f2030293770ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2030293770ol_nat F Y_1)) (tptp.hAPP_f2030293770ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f2030293770ol_nat F Aa)))))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1358350510ol_nat F Ba))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_1) (tptp.is_fun2093718614t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1358350510ol_nat F Y_1)) (tptp.hAPP_f1358350510ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1358350510ol_nat F Aa)))))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool G) F)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool G) F)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool G) F)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool G) F)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool G) F)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool G) F)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool G) F)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool G) F)))))) (forall ((B $$unsorted) (A_15 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A_15) A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.pi_Pro666468413t_bool A B)) (tptp.pi_Pro666468413t_bool A_15 B))))) (forall ((B $$unsorted) (A_15 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A_15) A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.pi_fun150026276t_bool A B)) (tptp.pi_fun150026276t_bool A_15 B))))) (forall ((B $$unsorted) (A_15 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool A_15) A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.pi_Arr990697634t_bool A B)) (tptp.pi_Arr990697634t_bool A_15 B))))) (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2058969401t_bool tptp.cOMBC_364043868t_bool (tptp.hAPP_f1324249913t_bool (tptp.cOMBB_747702273le_alt tptp.cOMBC_1635684702l_bool) (tptp.hAPP_f156764033l_bool (tptp.cOMBB_2112722489le_alt (tptp.cOMBB_84213429le_alt tptp.member1441201108le_alt)) tptp.produc1400112471le_alt))))) (= (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_f1617919085t_bool _let_1 R_1)) (tptp.hAPP_f1617919085t_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool R_1) S_1))))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) tptp.top_to1853035173l_bool))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) tptp.top_to522745736l_bool))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) tptp.top_to1714702858l_bool))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) tptp.top_to565915683t_bool))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool A) tptp.top_to1576102282i_bool))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) tptp.top_top_fun_nat_bool))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) tptp.top_to1257323279t_bool))) (forall ((A $$unsorted) (F $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.inj_on1073981917di_nat F))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 A)))))) (forall ((A $$unsorted) (F $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.inj_on_nat_nat F))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A)))))) (forall ((B_14 $$unsorted) (A_14 $$unsorted) (C_14 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_14) A_14) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_14) A_14)) (= B_14 C_14))) (forall ((A_13 $$unsorted) (B_13 $$unsorted) (C_13 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_13))) (=> (= (tptp.hAPP_nat_nat _let_1 B_13) (tptp.hAPP_nat_nat _let_1 C_13)) (= B_13 C_13)))) (forall ((A_12 $$unsorted) (B_12 $$unsorted) (C_12 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_12))) (=> (= (tptp.hAPP_nat_nat _let_1 B_12) (tptp.hAPP_nat_nat _let_1 C_12)) (= B_12 C_12)))) (forall ((Ba $$unsorted) (Aa $$unsorted) (Ca $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ba) Aa) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ca) Aa)) (= Ba Ca))) (forall ((Aa $$unsorted) (Ba $$unsorted) (Ca $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Aa))) (= (= (tptp.hAPP_nat_nat _let_1 Ba) (tptp.hAPP_nat_nat _let_1 Ca)) (= Ba Ca)))) (forall ((A_11 $$unsorted) (B_11 $$unsorted) (C_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_11))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 B_11)) C_11) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_11) C_11))))) (forall ((X_2 $$unsorted)) (= (= tptp.one_one_nat X_2) (= X_2 tptp.one_one_nat))) (forall ((C_10 $$unsorted) (A_10 $$unsorted) (B_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_10))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 A_10)) (tptp.hAPP_nat_nat _let_1 B_10))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_10) B_10))))) (forall ((A_9 $$unsorted) (C_9 $$unsorted) (B_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_9) C_9)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_9) C_9))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_9) B_9)))) (forall ((C_8 $$unsorted) (D_1 $$unsorted) (A_8 $$unsorted) (B_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_8) B_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_8) D_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_8) C_8)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_8) D_1)))))) (forall ((C_7 $$unsorted) (A_7 $$unsorted) (B_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_7))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_7) B_7)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 A_7)) (tptp.hAPP_nat_nat _let_1 B_7)))))) (forall ((C_6 $$unsorted) (A_6 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_6) B_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_6) C_6)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_6) C_6))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ca))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 Aa)) (tptp.hAPP_nat_nat _let_1 Ba))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba))))) (forall ((Aa $$unsorted) (Ca $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Aa) Ca)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ba) Ca))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)))) (forall ((C_5 $$unsorted) (A_5 $$unsorted) (B_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_5))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_5)) (tptp.hAPP_nat_nat _let_1 B_5))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_5) B_5))))) (forall ((A_4 $$unsorted) (C_4 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_4) C_4)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_4) C_4))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_4) B_4)))) (forall ((C_3 $$unsorted) (D $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_3) B_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_3) D)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_3) C_3)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_3) D)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_2) B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_2)) (tptp.hAPP_nat_nat _let_1 B_2)))))) (forall ((C_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_1) B_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_1) C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_1) C_1))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ca))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 Aa)) (tptp.hAPP_nat_nat _let_1 Ba))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba))))) (forall ((Aa $$unsorted) (Ca $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Aa) Ca)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ba) Ca))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_fun961089132t_bool X_1) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f592646513l_bool F X_1)) (tptp.hAPP_f592646513l_bool G X_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool F) G)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f312250286l_bool F X_1)) (tptp.hAPP_f312250286l_bool G X_1)))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool F) G)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f965095724l_bool F X_1)) (tptp.hAPP_f965095724l_bool G X_1)))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool F) G)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_P606313927t_bool F X_1)) (tptp.hAPP_P606313927t_bool G X_1)))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool F) G)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr43961803e_indi X_1) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_A1785763630i_bool F X_1)) (tptp.hAPP_A1785763630i_bool G X_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool F) G)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_P1676879539t_bool F X_1)) (tptp.hAPP_P1676879539t_bool G X_1)))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool F) G)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr1861959080le_alt X_1) (tptp.hBOOL (tptp.hAPP_f2013399995l_bool (tptp.hAPP_f1721660479l_bool tptp.ord_le893483153t_bool (tptp.hAPP_A1664620203t_bool F X_1)) (tptp.hAPP_A1664620203t_bool G X_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool F) G)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool G X_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F Y_1)) (tptp.hAPP_f800510211t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f543204480t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F Y_1)) (tptp.hAPP_f543204480t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f2026336507t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F Y_1)) (tptp.hAPP_f2026336507t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F Y_1)) (tptp.hAPP_n1699378549t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_n454528608t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F Y_1)) (tptp.hAPP_n454528608t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_n821919323i_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F Y_1)) (tptp.hAPP_n821919323i_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_n1674354836l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F Y_1)) (tptp.hAPP_n1674354836l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_n295497947l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F Y_1)) (tptp.hAPP_n295497947l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_n2095207769l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F Y_1)) (tptp.hAPP_n2095207769l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_n588788980t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F Y_1)) (tptp.hAPP_n588788980t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F Y_1)) (tptp.hAPP_nat_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_n539120590t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F Y_1)) (tptp.hAPP_n539120590t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f22106695ol_nat F Y_1)) (tptp.hAPP_f22106695ol_nat F X_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f22106695ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2030293770ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F Y_1)) (tptp.hAPP_f2030293770ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2120083535ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F Y_1)) (tptp.hAPP_f2120083535ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F Y_1)) (tptp.hAPP_n1699378549t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_n454528608t_bool F Y_1)) (tptp.hAPP_n454528608t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_n821919323i_bool F Y_1)) (tptp.hAPP_n821919323i_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_n1674354836l_bool F Y_1)) (tptp.hAPP_n1674354836l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_n295497947l_bool F Y_1)) (tptp.hAPP_n295497947l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_n2095207769l_bool F Y_1)) (tptp.hAPP_n2095207769l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_n588788980t_bool F Y_1)) (tptp.hAPP_n588788980t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F Y_1)) (tptp.hAPP_nat_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_n539120590t_bool F Y_1)) (tptp.hAPP_n539120590t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool F Y_1)) (tptp.hAPP_f800510211t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_f1061584978t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_f1061584978t_bool F Y_1)) (tptp.hAPP_f1061584978t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_f1061584978t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_f632777549i_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_f632777549i_bool F Y_1)) (tptp.hAPP_f632777549i_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_f632777549i_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_f769545506l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_f769545506l_bool F Y_1)) (tptp.hAPP_f769545506l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_f769545506l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_f1449238989l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_f1449238989l_bool F Y_1)) (tptp.hAPP_f1449238989l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_f1449238989l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_f226010187l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_f226010187l_bool F Y_1)) (tptp.hAPP_f226010187l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_f226010187l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_f899613158t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_f899613158t_bool F Y_1)) (tptp.hAPP_f899613158t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_f899613158t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_f54304608l_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f54304608l_bool F Y_1)) (tptp.hAPP_f54304608l_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_f54304608l_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_f861874780t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_f861874780t_bool F Y_1)) (tptp.hAPP_f861874780t_bool F X_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_f861874780t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f464145314t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_1) (tptp.is_fun279392540l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f464145314t_bool F Y_1)) (tptp.hAPP_f464145314t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f464145314t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f839525755t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_1) (tptp.is_fun158382675l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f839525755t_bool F Y_1)) (tptp.hAPP_f839525755t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f839525755t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f985923321t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_1) (tptp.is_fun288122577l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f985923321t_bool F Y_1)) (tptp.hAPP_f985923321t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f985923321t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f856106132t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_1) (tptp.is_fun961089132t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f856106132t_bool F Y_1)) (tptp.hAPP_f856106132t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f856106132t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_b1013836512t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_bool X_1) (tptp.is_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_b1013836512t_bool F Y_1)) (tptp.hAPP_b1013836512t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_b1013836512t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f2026336507t_bool F Y_1)) (tptp.hAPP_f2026336507t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f543204480t_bool F Y_1)) (tptp.hAPP_f543204480t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f1363542492t_bool F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_1) (tptp.is_fun2093718614t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f1363542492t_bool F Y_1)) (tptp.hAPP_f1363542492t_bool F X_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f1363542492t_bool F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1313392232ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_1) (tptp.is_fun279392540l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1313392232ol_nat F Y_1)) (tptp.hAPP_f1313392232ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1313392232ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1695077327ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_1) (tptp.is_fun158382675l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1695077327ol_nat F Y_1)) (tptp.hAPP_f1695077327ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1695077327ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f897066961ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_1) (tptp.is_fun288122577l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f897066961ol_nat F Y_1)) (tptp.hAPP_f897066961ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f897066961ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f816335862ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_1) (tptp.is_fun961089132t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f816335862ol_nat F Y_1)) (tptp.hAPP_f816335862ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f816335862ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_bool_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_bool X_1) (tptp.is_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_bool_nat F Y_1)) (tptp.hAPP_bool_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_bool_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2120083535ol_nat F Y_1)) (tptp.hAPP_f2120083535ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2030293770ol_nat F Y_1)) (tptp.hAPP_f2030293770ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1358350510ol_nat F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ca) Ba)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_1) (tptp.is_fun2093718614t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1358350510ol_nat F Y_1)) (tptp.hAPP_f1358350510ol_nat F X_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1358350510ol_nat F Ca)) Aa)))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) (tptp.hAPP_f800510211t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F X_1)) (tptp.hAPP_f800510211t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) (tptp.hAPP_f800510211t_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) (tptp.hAPP_f543204480t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F X_1)) (tptp.hAPP_f543204480t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) (tptp.hAPP_f543204480t_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) (tptp.hAPP_f2026336507t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F X_1)) (tptp.hAPP_f2026336507t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) (tptp.hAPP_f2026336507t_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) (tptp.hAPP_n1699378549t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F X_1)) (tptp.hAPP_n1699378549t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) (tptp.hAPP_n1699378549t_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) (tptp.hAPP_n454528608t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F X_1)) (tptp.hAPP_n454528608t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) (tptp.hAPP_n454528608t_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Aa) (tptp.hAPP_n821919323i_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F X_1)) (tptp.hAPP_n821919323i_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) (tptp.hAPP_n821919323i_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Aa) (tptp.hAPP_n1674354836l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F X_1)) (tptp.hAPP_n1674354836l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Aa) (tptp.hAPP_n1674354836l_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Aa) (tptp.hAPP_n295497947l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F X_1)) (tptp.hAPP_n295497947l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Aa) (tptp.hAPP_n295497947l_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Aa) (tptp.hAPP_n2095207769l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F X_1)) (tptp.hAPP_n2095207769l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Aa) (tptp.hAPP_n2095207769l_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Aa) (tptp.hAPP_n588788980t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F X_1)) (tptp.hAPP_n588788980t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Aa) (tptp.hAPP_n588788980t_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) (tptp.hAPP_nat_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Aa) (tptp.hAPP_nat_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Aa) (tptp.hAPP_n539120590t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F X_1)) (tptp.hAPP_n539120590t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Aa) (tptp.hAPP_n539120590t_bool F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) (tptp.hAPP_f22106695ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f22106695ol_nat F X_1)) (tptp.hAPP_f22106695ol_nat F Y_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) (tptp.hAPP_f22106695ol_nat F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) (tptp.hAPP_f2030293770ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F X_1)) (tptp.hAPP_f2030293770ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) (tptp.hAPP_f2030293770ol_nat F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) (tptp.hAPP_f2120083535ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F X_1)) (tptp.hAPP_f2120083535ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) (tptp.hAPP_f2120083535ol_nat F Ca))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_n1699378549t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F X_1)) (tptp.hAPP_n1699378549t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_n1699378549t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 (tptp.hAPP_n454528608t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_n454528608t_bool F X_1)) (tptp.hAPP_n454528608t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 (tptp.hAPP_n454528608t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 (tptp.hAPP_n821919323i_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_n821919323i_bool F X_1)) (tptp.hAPP_n821919323i_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 (tptp.hAPP_n821919323i_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 (tptp.hAPP_n1674354836l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_n1674354836l_bool F X_1)) (tptp.hAPP_n1674354836l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 (tptp.hAPP_n1674354836l_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 (tptp.hAPP_n295497947l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_n295497947l_bool F X_1)) (tptp.hAPP_n295497947l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 (tptp.hAPP_n295497947l_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 (tptp.hAPP_n2095207769l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_n2095207769l_bool F X_1)) (tptp.hAPP_n2095207769l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 (tptp.hAPP_n2095207769l_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_n588788980t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_n588788980t_bool F X_1)) (tptp.hAPP_n588788980t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_n588788980t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 (tptp.hAPP_nat_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 (tptp.hAPP_nat_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 (tptp.hAPP_n539120590t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_n539120590t_bool F X_1)) (tptp.hAPP_n539120590t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 (tptp.hAPP_n539120590t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f800510211t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool F X_1)) (tptp.hAPP_f800510211t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f800510211t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 (tptp.hAPP_f1061584978t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_f1061584978t_bool F X_1)) (tptp.hAPP_f1061584978t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 (tptp.hAPP_f1061584978t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 (tptp.hAPP_f632777549i_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_f632777549i_bool F X_1)) (tptp.hAPP_f632777549i_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 (tptp.hAPP_f632777549i_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 (tptp.hAPP_f769545506l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_f769545506l_bool F X_1)) (tptp.hAPP_f769545506l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 (tptp.hAPP_f769545506l_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 (tptp.hAPP_f1449238989l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_f1449238989l_bool F X_1)) (tptp.hAPP_f1449238989l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 (tptp.hAPP_f1449238989l_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 (tptp.hAPP_f226010187l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_f226010187l_bool F X_1)) (tptp.hAPP_f226010187l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 (tptp.hAPP_f226010187l_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_f899613158t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_f899613158t_bool F X_1)) (tptp.hAPP_f899613158t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 (tptp.hAPP_f899613158t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 (tptp.hAPP_f54304608l_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f54304608l_bool F X_1)) (tptp.hAPP_f54304608l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool _let_1 (tptp.hAPP_f54304608l_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 (tptp.hAPP_f861874780t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_f861874780t_bool F X_1)) (tptp.hAPP_f861874780t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool _let_1 (tptp.hAPP_f861874780t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f464145314t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_1) (tptp.is_fun279392540l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f464145314t_bool F X_1)) (tptp.hAPP_f464145314t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f464145314t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f839525755t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_1) (tptp.is_fun158382675l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f839525755t_bool F X_1)) (tptp.hAPP_f839525755t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f839525755t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f985923321t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_1) (tptp.is_fun288122577l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f985923321t_bool F X_1)) (tptp.hAPP_f985923321t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f985923321t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f856106132t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_1) (tptp.is_fun961089132t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f856106132t_bool F X_1)) (tptp.hAPP_f856106132t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f856106132t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_b1013836512t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_bool X_1) (tptp.is_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_b1013836512t_bool F X_1)) (tptp.hAPP_b1013836512t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_b1013836512t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f2026336507t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f2026336507t_bool F X_1)) (tptp.hAPP_f2026336507t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f2026336507t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f543204480t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f543204480t_bool F X_1)) (tptp.hAPP_f543204480t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f543204480t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f1363542492t_bool F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_1) (tptp.is_fun2093718614t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f1363542492t_bool F X_1)) (tptp.hAPP_f1363542492t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.hAPP_f1363542492t_bool F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1313392232ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_1) (tptp.is_fun279392540l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1313392232ol_nat F X_1)) (tptp.hAPP_f1313392232ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1313392232ol_nat F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1695077327ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_1) (tptp.is_fun158382675l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1695077327ol_nat F X_1)) (tptp.hAPP_f1695077327ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1695077327ol_nat F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f897066961ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_1) (tptp.is_fun288122577l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f897066961ol_nat F X_1)) (tptp.hAPP_f897066961ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f897066961ol_nat F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f816335862ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_1) (tptp.is_fun961089132t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f816335862ol_nat F X_1)) (tptp.hAPP_f816335862ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f816335862ol_nat F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_bool_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_bool X_1) (tptp.is_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_bool_nat F X_1)) (tptp.hAPP_bool_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_bool_nat F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f2120083535ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2120083535ol_nat F X_1)) (tptp.hAPP_f2120083535ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f2120083535ol_nat F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f2030293770ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2030293770ol_nat F X_1)) (tptp.hAPP_f2030293770ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f2030293770ol_nat F Ca)))))))) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1358350510ol_nat F Ba))) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Ba) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_1) (tptp.is_fun2093718614t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1358350510ol_nat F X_1)) (tptp.hAPP_f1358350510ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_f1358350510ol_nat F Ca)))))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F X_1)) (tptp.hAPP_n1699378549t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_n454528608t_bool F X_1)) (tptp.hAPP_n454528608t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_n821919323i_bool F X_1)) (tptp.hAPP_n821919323i_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_n1674354836l_bool F X_1)) (tptp.hAPP_n1674354836l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_n295497947l_bool F X_1)) (tptp.hAPP_n295497947l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_n2095207769l_bool F X_1)) (tptp.hAPP_n2095207769l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_n588788980t_bool F X_1)) (tptp.hAPP_n588788980t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_n539120590t_bool F X_1)) (tptp.hAPP_n539120590t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool F X_1)) (tptp.hAPP_f800510211t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_f1061584978t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_f1061584978t_bool F X_1)) (tptp.hAPP_f1061584978t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_f1061584978t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_f632777549i_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_f632777549i_bool F X_1)) (tptp.hAPP_f632777549i_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_f632777549i_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_f769545506l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_f769545506l_bool F X_1)) (tptp.hAPP_f769545506l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_f769545506l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_f1449238989l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_f1449238989l_bool F X_1)) (tptp.hAPP_f1449238989l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_f1449238989l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_f226010187l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_f226010187l_bool F X_1)) (tptp.hAPP_f226010187l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_f226010187l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_f899613158t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_f899613158t_bool F X_1)) (tptp.hAPP_f899613158t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_f899613158t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_f54304608l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_f54304608l_bool F X_1)) (tptp.hAPP_f54304608l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_f54304608l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_f861874780t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_f861874780t_bool F X_1)) (tptp.hAPP_f861874780t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_f861874780t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f464145314t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_1) (tptp.is_fun279392540l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f464145314t_bool F X_1)) (tptp.hAPP_f464145314t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f464145314t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f839525755t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_1) (tptp.is_fun158382675l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f839525755t_bool F X_1)) (tptp.hAPP_f839525755t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f839525755t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f985923321t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_1) (tptp.is_fun288122577l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f985923321t_bool F X_1)) (tptp.hAPP_f985923321t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f985923321t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f856106132t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_1) (tptp.is_fun961089132t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f856106132t_bool F X_1)) (tptp.hAPP_f856106132t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f856106132t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_b1013836512t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_bool X_1) (tptp.is_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_b1013836512t_bool F X_1)) (tptp.hAPP_b1013836512t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_b1013836512t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f2026336507t_bool F X_1)) (tptp.hAPP_f2026336507t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f543204480t_bool F X_1)) (tptp.hAPP_f543204480t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f1363542492t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_1) (tptp.is_fun2093718614t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f1363542492t_bool F X_1)) (tptp.hAPP_f1363542492t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f1363542492t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1313392232ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun279392540l_bool X_1) (tptp.is_fun279392540l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1313392232ol_nat F X_1)) (tptp.hAPP_f1313392232ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1313392232ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1695077327ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun158382675l_bool X_1) (tptp.is_fun158382675l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1695077327ol_nat F X_1)) (tptp.hAPP_f1695077327ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1695077327ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f897066961ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun288122577l_bool X_1) (tptp.is_fun288122577l_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f897066961ol_nat F X_1)) (tptp.hAPP_f897066961ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f897066961ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f816335862ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun961089132t_bool X_1) (tptp.is_fun961089132t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f816335862ol_nat F X_1)) (tptp.hAPP_f816335862ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f816335862ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_bool_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_bool X_1) (tptp.is_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_bool_nat F X_1)) (tptp.hAPP_bool_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_bool_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2120083535ol_nat F X_1)) (tptp.hAPP_f2120083535ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2030293770ol_nat F X_1)) (tptp.hAPP_f2030293770ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1358350510ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun2093718614t_bool X_1) (tptp.is_fun2093718614t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f1358350510ol_nat F X_1)) (tptp.hAPP_f1358350510ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f1358350510ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F X_1)) (tptp.hAPP_f800510211t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f800510211t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f543204480t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F X_1)) (tptp.hAPP_f543204480t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f543204480t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f2026336507t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F X_1)) (tptp.hAPP_f2026336507t_bool F Y_1)))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_f2026336507t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F X_1)) (tptp.hAPP_n1699378549t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.hAPP_n1699378549t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_n454528608t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F X_1)) (tptp.hAPP_n454528608t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool (tptp.hAPP_n454528608t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool (tptp.hAPP_n821919323i_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F X_1)) (tptp.hAPP_n821919323i_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool (tptp.hAPP_n821919323i_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_n1674354836l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F X_1)) (tptp.hAPP_n1674354836l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool (tptp.hAPP_n1674354836l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_n295497947l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F X_1)) (tptp.hAPP_n295497947l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool (tptp.hAPP_n295497947l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_n2095207769l_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F X_1)) (tptp.hAPP_n2095207769l_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool (tptp.hAPP_n2095207769l_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_n588788980t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F X_1)) (tptp.hAPP_n588788980t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool (tptp.hAPP_n588788980t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool (tptp.hAPP_nat_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1546299023t_bool (tptp.hAPP_n539120590t_bool F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F X_1)) (tptp.hAPP_n539120590t_bool F Y_1))))) (tptp.hBOOL (tptp.hAPP_f324780729l_bool (tptp.hAPP_f1377535679l_bool tptp.ord_le1393483395t_bool (tptp.hAPP_n539120590t_bool F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f22106695ol_nat F X_1)) (tptp.hAPP_f22106695ol_nat F Y_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f22106695ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2030293770ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_1) (tptp.is_fun1568535512t_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F X_1)) (tptp.hAPP_f2030293770ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2030293770ol_nat F Aa)) Ca)))))) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2120083535ol_nat F Ba)) Ca)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool X_1) (tptp.is_fun1236654035i_bool Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F X_1)) (tptp.hAPP_f2120083535ol_nat F Y_1)))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_f2120083535ol_nat F Aa)) Ca)))))) (forall ((M_2 $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) K_2)) N)) (not (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N))))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun279392540l_bool A) (tptp.is_fun279392540l_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool B) A)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun158382675l_bool A) (tptp.is_fun158382675l_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool B) A)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun288122577l_bool A) (tptp.is_fun288122577l_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool B) A)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun961089132t_bool A) (tptp.is_fun961089132t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool B) A)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool A) (tptp.is_fun1236654035i_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool B) A)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool A) (tptp.is_fun1568535512t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool B) A)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A)) (= A B)))) (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_A1602262231l_bool tptp.member1493247163e_indi Ca))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 B)))))) (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_b1787118453l_bool tptp.member_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool _let_1 B)))))) (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_P607165281l_bool tptp.member_Product_unit Ca))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 B)))))) (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt Ca))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 B)))))) (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 B)))))) (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 B)))))) (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool Ca))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 B)))))) (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat Ca))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool A) (tptp.is_fun1568535512t_bool B)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (not (= A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool A) (tptp.is_fun1236654035i_bool B)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool A) B)) (not (= A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun279392540l_bool A) (tptp.is_fun279392540l_bool B)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)) (not (= A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun158382675l_bool A) (tptp.is_fun158382675l_bool B)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)) (not (= A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun288122577l_bool A) (tptp.is_fun288122577l_bool B)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)) (not (= A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun961089132t_bool A) (tptp.is_fun961089132t_bool B)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)) (not (= A B)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (not (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool A) (tptp.is_fun1568535512t_bool B)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1236654035i_bool A) (tptp.is_fun1236654035i_bool B)) (= (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool A) B)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun279392540l_bool A) (tptp.is_fun279392540l_bool B)) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool A) B)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun158382675l_bool A) (tptp.is_fun158382675l_bool B)) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool A) B)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun288122577l_bool A) (tptp.is_fun288122577l_bool B)) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool A) B)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun961089132t_bool A) (tptp.is_fun961089132t_bool B)) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool A) B)) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool _let_1 C)))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f384959233l_bool tptp.ord_le1013403878i_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.hAPP_f384959233l_bool tptp.ord_le249613274i_bool B) C)) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool _let_1 C)))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool B) C)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 C)))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool B) C)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 C)))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool B) C)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 C)))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 C)))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 C)))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool B) C)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le119953481l_bool A) C))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool B) C)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le1006840166l_bool A) C))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool B) C)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1929173732l_bool A) C))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le906188671t_bool A) C))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) C))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (not (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A))))))) (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 C)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 B)))))) (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B)))))) (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (let ((_let_1 (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 A)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 B)))))) (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (let ((_let_1 (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 A)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 B)))))) (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (let ((_let_1 (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 A)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 B)))))) (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 A)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (Pa $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Pa) Q_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_nat_bool Q_1 X_2))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f1253375959l_bool tptp.member520425275t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f250445784l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_f461621971l_bool tptp.member760917689t_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f777333846l_bool _let_1 B)))))) (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.hAPP_P229966473l_bool tptp.member1441201108le_alt X_2))) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 A)) (tptp.hBOOL (tptp.hAPP_f592646513l_bool _let_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)))) (forall ((Q_1 $$unsorted) (Pa $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Pa) Q_1)) (tptp.hBOOL (tptp.hAPP_nat_bool Q_1 X_2))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A))))) (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) A))) (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat))) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool _let_1 R_1)) (tptp.hAPP_f800510211t_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool R_1) S_1))))) (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2018922499l_bool tptp.cOMBC_62805014l_bool tptp.member496995196t_bool))) (= (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool (tptp.hAPP_f111185985l_bool _let_1 R_1)) (tptp.hAPP_f111185985l_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f1581553471l_bool tptp.ord_le2085964885l_bool R_1) S_1))))) (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f862836377l_bool tptp.cOMBC_564645218l_bool tptp.member520425275t_bool))) (= (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool (tptp.hAPP_f1765205l_bool _let_1 R_1)) (tptp.hAPP_f1765205l_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f250445784l_bool (tptp.hAPP_f43523585l_bool tptp.ord_le2009287770l_bool R_1) S_1))))) (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1956380189l_bool tptp.cOMBC_574836706l_bool tptp.member760917689t_bool))) (= (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool (tptp.hAPP_f146009813l_bool _let_1 R_1)) (tptp.hAPP_f146009813l_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f777333846l_bool (tptp.hAPP_f1146952189l_bool tptp.ord_le1069525464l_bool R_1) S_1))))) (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f49469479t_bool tptp.cOMBC_864945570l_bool tptp.member1441201108le_alt))) (= (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool (tptp.hAPP_f515126293t_bool _let_1 R_1)) (tptp.hAPP_f515126293t_bool _let_1 S_1))) (tptp.hBOOL (tptp.hAPP_f592646513l_bool (tptp.hAPP_f863359027l_bool tptp.ord_le1004900979t_bool R_1) S_1))))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (not (= M_1 Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_1))))) (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 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))) (forall ((N $$unsorted) (M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M_2)) (not (= M_2 N)))) (forall ((S $$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_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_1)))) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) _let_1) (=> (=> (= M_1 Na) _let_1) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_1)) _let_1) _let_1))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M_2))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 Z)) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat _let_1 Z)))))) (forall ((M_2 $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 N)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) K_2))))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K))) (= (= (tptp.hAPP_nat_nat _let_1 M_1) (tptp.hAPP_nat_nat _let_1 Na)) (= M_1 Na)))) (forall ((M_1 $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Na) K)) (= M_1 Na))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) N))) (forall ((M_2 $$unsorted) (N $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M_2)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (= M_2 N) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)))) (forall ((K_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_1) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 K_2)))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M_2)) (= M_2 N)))) (forall ((K $$unsorted) (N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) K)) N_2))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) J_1)) I_2)))) (forall ((J_1 $$unsorted) (I_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_1) I_2)) I_2)))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 M_1)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na))))) (forall ((M_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_1) M_2)))))) (forall ((M_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) J_1)))))) (forall ((K_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_1) K_2))))) (forall ((K_2 $$unsorted) (L_1 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_2) L_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_1) L_1)))))) (forall ((M_2 $$unsorted) (N $$unsorted) (K_2 $$unsorted) (L_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_2) L_1)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) L_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N))))) (forall ((I_2 $$unsorted) (J_1 $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) J_1)) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) K_2)))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (not (= M_1 Na))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (= M_1 Na)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)) (=> (not (= M_2 N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)) (= M_2 N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)))) (forall ((N $$unsorted) (M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N)))) (forall ((N $$unsorted) (M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M_2)))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (exists ((K_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) K_1))))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 M_1)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na))))) (forall ((M_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_1) M_2)))))) (forall ((M_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) J_1)))))) (forall ((K_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_1) K_2))))) (forall ((K_2 $$unsorted) (L_1 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) L_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_1) L_1)))))) (forall ((M_2 $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) K_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N)))) (forall ((M_2 $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) K_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)))) (forall ((M_1 $$unsorted) (K $$unsorted) (F $$unsorted)) (=> (forall ((M $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F M)) (tptp.hAPP_nat_nat F N_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat F M_1)) K)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) K)))))) (forall ((I $$unsorted) (J $$unsorted) (F $$unsorted)) (=> (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F I_1)) (tptp.hAPP_nat_nat F J_2))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F I)) (tptp.hAPP_nat_nat F J)))))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z)))))) (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z)))))) (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 ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z)))))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z)))))) (exists ((L_2 $$unsorted)) (and (tptp.is_fun961089132t_bool L_2) (tptp.hBOOL (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool tptp.member496995196t_bool L_2) tptp.arrow_1681063817le_Lin)))) (tptp.hBOOL (tptp.hAPP_f1599966040l_bool tptp.finite106199483e_indi tptp.top_to1576102282i_bool)) (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) K))))) (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) K))))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat tptp.top_top_fun_nat_bool))) (= (tptp.hAPP_f2030293770ol_nat tptp.finite1949902593t_unit tptp.top_to1257323279t_bool) tptp.one_one_nat) (forall ((Na $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) Na))) Na)) (forall ((Pa $$unsorted) (I $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj) Pa)) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I)))))) (forall ((N_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)) (exists ((M $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) M))))))) (forall ((N_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)) (exists ((M $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) M))))))) (forall ((U $$unsorted) (F $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) (tptp.hAPP_nat_nat F N_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool (tptp.hAPP_f618557131t_bool (tptp.cOMBB_800536526ol_nat tptp.ord_less_eq_nat) F)) U)))))) (forall ((Na $$unsorted) (N_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Na)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) (forall ((Na $$unsorted)) (= (not (= Na tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)) (not (= N tptp.zero_zero_nat)))) (forall ((N $$unsorted)) (=> (not (= N tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) N) N)) (forall ((M_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) tptp.zero_zero_nat) M_2)) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) Na) tptp.zero_zero_nat) (and (= M_1 tptp.zero_zero_nat) (= Na tptp.zero_zero_nat)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N) M_2) (= N tptp.zero_zero_nat))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)))))) (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_1) Na)) (forall ((I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) K_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_1) tptp.one_one_nat)))))))) (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) Na)) (forall ((I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) K_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa K_1))))))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_1)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) K_1) J_1))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_2)) (tptp.hAPP_nat_nat tptp.suc N))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP_nat_nat tptp.suc X) (tptp.hAPP_nat_nat tptp.suc Y)) (= X Y))) (forall ((Nat_5 $$unsorted) (Nat_4 $$unsorted)) (= (= (tptp.hAPP_nat_nat tptp.suc Nat_5) (tptp.hAPP_nat_nat tptp.suc Nat_4)) (= Nat_5 Nat_4))) (forall ((N $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc N) N))) (forall ((N $$unsorted)) (not (= N (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((M_2 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc M_2) tptp.zero_zero_nat))) (forall ((M_2 $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M_2)))) (forall ((Nat_3 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc Nat_3) tptp.zero_zero_nat))) (forall ((M_2 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc M_2) tptp.zero_zero_nat))) (forall ((Nat_2 $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc Nat_2)))) (forall ((M_2 $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M_2)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_2)) (tptp.hAPP_nat_nat tptp.suc N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N))) (= M_2 N))))) (forall ((K_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_1) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I_2)) K_2))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc M_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)) (=> (not (= _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_1) N)))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N)))))) (forall ((N $$unsorted) (M_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc M_2))) (= M_2 N))))) (forall ((Na $$unsorted) (M_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_1))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc M_1))) (= Na M_1))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_1)) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)) (= M_1 Na))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat _let_1 N))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc N))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N))) (= M_2 _let_1)))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N)))))) (forall ((Na $$unsorted) (M_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_nat_nat tptp.suc M_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) M_1)))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 Na)) (= M_1 _let_1)))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) M_1)))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) N)))) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat tptp.suc) N_2))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (exists ((M $$unsorted)) (= Na (tptp.hAPP_nat_nat tptp.suc M))))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= Na tptp.zero_zero_nat))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) (tptp.hAPP_nat_nat tptp.suc Na))) (or (= M_1 tptp.zero_zero_nat) (exists ((J_2 $$unsorted)) (and (= M_1 (tptp.hAPP_nat_nat tptp.suc J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_2) Na))))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) Na) _let_1) (or (and (= M_1 _let_1) (= Na tptp.zero_zero_nat)) (and (= M_1 tptp.zero_zero_nat) (= Na _let_1)))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) Na)) (or (and (= M_1 _let_1) (= Na tptp.zero_zero_nat)) (and (= M_1 tptp.zero_zero_nat) (= Na _let_1)))))) (forall ((I_2 $$unsorted) (M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) M_2))))) (forall ((I_2 $$unsorted) (M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) I_2))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (exists ((K_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) K_1)))))) (forall ((Na $$unsorted) (M_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) M_1)))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_1)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) (tptp.hAPP_nat_nat tptp.suc N))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N)))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M_1))) (= Na M_1)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)))) (= tptp.one_one_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (forall ((X_1 $$unsorted)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc X_1)))) (forall ((Na $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) Na))) (tptp.hAPP_nat_nat tptp.suc Na))) (forall ((I $$unsorted) (M_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat))) (let ((_let_2 (tptp.cOMBB_1015721476ol_nat tptp.fconj))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_4)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool _let_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool (tptp.hAPP_f66927821l_bool (tptp.cOMBB_1146692694ol_nat tptp.member_nat) tptp.suc)) M_4))) (tptp.hAPP_n1699378549t_bool _let_1 I))))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool _let_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_4))) (tptp.hAPP_n1699378549t_bool _let_1 (tptp.hAPP_nat_nat tptp.suc I)))))))))) (forall ((I $$unsorted) (M_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_4)) (not (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_4))) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) (tptp.hAPP_nat_nat tptp.suc I))))) tptp.zero_zero_nat)))) (forall ((I $$unsorted) (M_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat))) (let ((_let_2 (tptp.cOMBB_1015721476ol_nat tptp.fconj))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_4))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool _let_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool (tptp.hAPP_f66927821l_bool (tptp.cOMBB_1146692694ol_nat tptp.member_nat) tptp.suc)) M_4))) (tptp.hAPP_n1699378549t_bool _let_1 I)))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool _let_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_4))) (tptp.hAPP_n1699378549t_bool _let_1 (tptp.hAPP_nat_nat tptp.suc I)))))))))) (forall ((Pa $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa J)) (=> (forall ((I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc I_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I)))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N)) (exists ((K_1 $$unsorted)) (= N (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) K_1)))))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((M $$unsorted)) (= N (tptp.hAPP_nat_nat tptp.suc M))))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) N))) (forall ((N $$unsorted) (M_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) M_3)) (exists ((M $$unsorted)) (= M_3 (tptp.hAPP_nat_nat tptp.suc M))))) (forall ((I_2 $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) K_2)) (=> (not (= K_2 (tptp.hAPP_nat_nat tptp.suc I_2))) (not (forall ((J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_2)) (not (= K_2 (tptp.hAPP_nat_nat tptp.suc J_2))))))))) (forall ((I_2 $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I_2)) K_2)) (not (forall ((J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_2)) (not (= K_2 (tptp.hAPP_nat_nat tptp.suc J_2)))))))) (forall ((N $$unsorted)) (=> (not (= N tptp.zero_zero_nat)) (exists ((M $$unsorted)) (= N (tptp.hAPP_nat_nat tptp.suc M))))) (forall ((Y $$unsorted)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat_1 $$unsorted)) (not (= Y (tptp.hAPP_nat_nat tptp.suc Nat_1))))))) (forall ((Pa $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa K)) (=> (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))))) (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat)) (=> (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na))))) (= (tptp.hAPP_f2026336507t_bool (tptp.image_579431497di_nat tptp.h) tptp.top_to1576102282i_bool) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) _let_5)) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat L) U)))) (not (forall ((H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1599966040l_bool (tptp.inj_on1073981917di_nat H) tptp.top_to1576102282i_bool)) (not (= (tptp.hAPP_f2026336507t_bool (tptp.image_579431497di_nat H) tptp.top_to1576102282i_bool) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) (tptp.hAPP_f2120083535ol_nat tptp.finite1686180860e_indi tptp.top_to1576102282i_bool))))))) (forall ((A $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) _let_1)) (= A _let_1)))) (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.hAPP_f800510211t_bool (tptp.image_nat_nat tptp.suc) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat I) J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat (tptp.hAPP_nat_nat tptp.suc I)) (tptp.hAPP_nat_nat tptp.suc J)))) (forall ((K $$unsorted) (I $$unsorted) (J $$unsorted)) (= (tptp.hAPP_f800510211t_bool (tptp.image_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) K)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat I) J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) K)))) (forall ((Pa $$unsorted) (Na $$unsorted)) (= (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa M)))) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)))))) (forall ((Pa $$unsorted) (Na $$unsorted)) (= (exists ((M $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa M)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)))))) (= (tptp.hAPP_n1699378549t_bool tptp.ord_greaterThan_nat tptp.zero_zero_nat) (tptp.hAPP_f800510211t_bool (tptp.image_nat_nat tptp.suc) tptp.top_top_fun_nat_bool)) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_1)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.nat_case_bool tptp.fFalse) (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1)) Na)))) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_gr375877188st_nat L) U)))) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_gr660468384an_nat L) U)))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat (tptp.hAPP_nat_nat tptp.suc L)) U) (tptp.hAPP_n1699378549t_bool (tptp.ord_gr660468384an_nat L) U))) (forall ((M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) (tptp.hAPP_nat_nat (tptp.times_times_nat M_2) M_2)))) (forall ((M_2 $$unsorted)) (let ((_let_1 (tptp.times_times_nat M_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_1 M_2)))))) (forall ((K_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.times_times_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.times_times_nat J_1) K_2))))) (forall ((K_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (let ((_let_1 (tptp.times_times_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 I_2)) (tptp.hAPP_nat_nat _let_1 J_1)))))) (forall ((K_2 $$unsorted) (L_1 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) L_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.times_times_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.times_times_nat J_1) L_1)))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) Na) tptp.one_one_nat) (and (= M_1 tptp.one_one_nat) (= Na tptp.one_one_nat)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.times_times_nat N) tptp.one_one_nat) N)) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (= tptp.one_one_nat (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) Na)) (and (= M_1 tptp.one_one_nat) (= Na tptp.one_one_nat)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.times_times_nat tptp.one_one_nat) N) N)) (forall ((M_2 $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N)) K_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.times_times_nat M_2) K_2)) (tptp.hAPP_nat_nat (tptp.times_times_nat N) K_2)))) (forall ((K_2 $$unsorted) (M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.times_times_nat K_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 M_2)) (tptp.hAPP_nat_nat _let_1 N))))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)))) (= (= (tptp.hAPP_nat_nat _let_1 M_1) (tptp.hAPP_nat_nat _let_1 Na)) (= M_1 Na)))) (forall ((M_1 $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) K) (tptp.hAPP_nat_nat (tptp.times_times_nat Na) K)) (or (= M_1 Na) (= K tptp.zero_zero_nat)))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.times_times_nat K))) (= (= (tptp.hAPP_nat_nat _let_1 M_1) (tptp.hAPP_nat_nat _let_1 Na)) (or (= M_1 Na) (= K tptp.zero_zero_nat))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) Na) tptp.zero_zero_nat) (or (= M_1 tptp.zero_zero_nat) (= Na tptp.zero_zero_nat)))) (forall ((M_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.times_times_nat M_2) tptp.zero_zero_nat) tptp.zero_zero_nat)) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.times_times_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)) (forall ((M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) Na) _let_1) (and (= M_1 _let_1) (= Na _let_1))))) (forall ((K_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (let ((_let_1 (tptp.times_times_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 I_2)) (tptp.hAPP_nat_nat _let_1 J_1))))))) (forall ((K_2 $$unsorted) (I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.times_times_nat I_2) K_2)) (tptp.hAPP_nat_nat (tptp.times_times_nat J_1) K_2)))))) (forall ((M_1 $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) K)) (tptp.hAPP_nat_nat (tptp.times_times_nat Na) K))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na))))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.times_times_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 M_1)) (tptp.hAPP_nat_nat _let_1 Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)))))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 M_1)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.times_times_nat M_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) (tptp.hAPP_nat_nat _let_1 N))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.times_times_nat M_2) N)))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 M_1)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (=> (= M_2 (tptp.hAPP_nat_nat (tptp.times_times_nat M_2) N)) (or (= N tptp.one_one_nat) (= M_2 tptp.zero_zero_nat)))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat (tptp.times_times_nat M_2) N))))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat (tptp.times_times_nat N) M_2))))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.times_times_nat M_2) N))))))) (forall ((M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)))))) (forall ((M_1 $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.times_times_nat M_1) K)) (tptp.hAPP_nat_nat (tptp.times_times_nat Na) K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na))))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.times_times_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 M_1)) (tptp.hAPP_nat_nat _let_1 Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)))))) (forall ((M_2 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.times_times_nat M_2) N) (tptp.hAPP_nat_nat (tptp.times_times_nat N) M_2))) (forall ((M_2 $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.times_times_nat M_2))) (= (tptp.hAPP_nat_nat (tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 N)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.times_times_nat N) K_2))))) (forall ((M_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.times_times_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 M_1)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)))))) (forall ((M_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.times_times_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 M_1)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)))))) (forall ((M_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.times_times_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (= (tptp.hAPP_nat_nat _let_1 M_1) (tptp.hAPP_nat_nat _let_1 Na)) (= M_1 Na))))) (forall ((K $$unsorted) (M_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.times_times_nat K))) (= (= (tptp.hAPP_nat_nat _let_1 M_1) (tptp.hAPP_nat_nat _let_1 Na)) (or (= K tptp.zero_zero_nat) (= M_1 Na))))) (forall ((I_2 $$unsorted) (U_1 $$unsorted) (J_1 $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.times_times_nat I_2) U_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.times_times_nat J_1) U_1)) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) J_1)) U_1)) K_2))) (forall ((Nat $$unsorted)) (= (tptp.hAPP_nat_nat tptp.nat_size (tptp.hAPP_nat_nat tptp.suc Nat)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.nat_size Nat)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (= (tptp.hAPP_nat_nat tptp.nat_size tptp.zero_zero_nat) tptp.zero_zero_nat) (forall ((Nat $$unsorted)) (= (tptp.hAPP_nat_nat tptp.size_size_nat (tptp.hAPP_nat_nat tptp.suc Nat)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.size_size_nat Nat)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.size_size_nat N) N)) (= (tptp.hAPP_nat_nat tptp.size_size_nat tptp.zero_zero_nat) tptp.zero_zero_nat) (forall ((F $$unsorted)) (=> (forall ((I_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat tptp.suc I_1))) (tptp.hAPP_nat_nat F I_1)))) (exists ((I_1 $$unsorted)) (forall ((K_1 $$unsorted)) (= (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) K_1)) (tptp.hAPP_nat_nat F I_1)))))) (= (tptp.hAPP_bool_nat tptp.bool_size tptp.fTrue) tptp.zero_zero_nat) (= (tptp.hAPP_bool_nat tptp.bool_size tptp.fFalse) tptp.zero_zero_nat) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat L) U)))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat L) (tptp.hAPP_nat_nat tptp.suc U)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat L) U))) (forall ((Pa $$unsorted) (Na $$unsorted)) (= (exists ((M $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa M)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat tptp.zero_zero_nat) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)))))) (forall ((Pa $$unsorted) (Na $$unsorted)) (= (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa M)))) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat tptp.zero_zero_nat) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_1)))))) (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.hAPP_f800510211t_bool (tptp.image_nat_nat tptp.suc) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat I) J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_nat_nat tptp.suc I)) (tptp.hAPP_nat_nat tptp.suc J)))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_nat_nat tptp.suc L)) U) (tptp.hAPP_n1699378549t_bool (tptp.ord_gr375877188st_nat L) U))) (forall ((K $$unsorted) (I $$unsorted) (J $$unsorted)) (= (tptp.hAPP_f800510211t_bool (tptp.image_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) K)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat I) J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) K)))) (forall ((K $$unsorted) (I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) K))) (let ((_let_2 (tptp.ord_at4362885an_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J)) (= (tptp.hAPP_n1699378549t_bool _let_2 _let_1) (tptp.hAPP_f800510211t_bool (tptp.semila465093516t_bool (tptp.hAPP_n1699378549t_bool _let_2 J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat J) _let_1))))))) (= (tptp.hAPP_n1699378549t_bool tptp.ord_atLeast_nat tptp.zero_zero_nat) tptp.top_top_fun_nat_bool) (forall ((K $$unsorted)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_atLeast_nat (tptp.hAPP_nat_nat tptp.suc K)) (tptp.hAPP_n1699378549t_bool tptp.ord_greaterThan_nat K))) (forall ((K $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.big_co387207925at_nat F))) (=> (= (tptp.hAPP_nat_nat F tptp.zero_zero_nat) tptp.zero_zero_nat) (= (tptp.hAPP_f22106695ol_nat _let_1 (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) K)) (tptp.hAPP_f22106695ol_nat _let_1 (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat tptp.zero_zero_nat) K)))))) (tptp.hBOOL tptp.fTrue) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))) (not (tptp.hBOOL tptp.fFalse)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((P $$unsorted)) (= (tptp.hAPP_nat_nat tptp.cOMBI_nat P) P)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_nat_bool (tptp.hAPP_b1013836512t_bool tptp.cOMBK_bool_nat P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_P1676879539t_bool (tptp.hAPP_b1096750261t_bool tptp.cOMBK_790042732t_unit P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat P) Q) R) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.cOMBS_nat_bool_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool P R) (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_n1006566506l_bool (tptp.hAPP_f1579826888l_bool tptp.cOMBK_623810489ol_nat P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_b1013836512t_bool (tptp.hAPP_f1247925759t_bool tptp.cOMBK_1034797721l_bool P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_A1785763630i_bool (tptp.hAPP_b1337486384i_bool tptp.cOMBK_575487463e_indi P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_P32877782t_bool (tptp.hAPP_f1212412661t_bool tptp.cOMBK_356206223t_unit P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1568535512t_bool P) (= (tptp.hAPP_n454528608t_bool (tptp.hAPP_f1539020360t_bool tptp.cOMBK_649751363ol_nat P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f618557131t_bool (tptp.cOMBB_800536526ol_nat P) Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1006566506l_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1785763630i_bool (tptp.hAPP_n821919323i_bool (tptp.hAPP_f446868133i_bool tptp.cOMBC_1996607964t_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_A2046586321t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1236654035i_bool P) (= (tptp.hAPP_n821919323i_bool (tptp.hAPP_f314556040i_bool tptp.cOMBK_1616043528ol_nat P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_A2046586321t_bool (tptp.hAPP_f1491725936t_bool tptp.cOMBK_847149194e_indi P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n215258509l_bool (tptp.hAPP_f66927821l_bool (tptp.cOMBB_1146692694ol_nat P) Q) R) (tptp.hAPP_n215258509l_bool P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A2046586321t_bool (tptp.hAPP_f224734595t_bool (tptp.cOMBB_1883918730e_indi P) Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_A1637648121di_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_P606313927t_bool (tptp.hAPP_b1703662281t_bool tptp.cOMBK_306730240le_alt P) Q) P))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.is_fun961089132t_bool X) (= (tptp.hAPP_f515126293t_bool (tptp.hAPP_f427493225t_bool (tptp.hAPP_b1588041841t_bool tptp.if_fun2098446489t_bool tptp.fTrue) X) Y) X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.is_fun961089132t_bool Y) (= (tptp.hAPP_f515126293t_bool (tptp.hAPP_f427493225t_bool (tptp.hAPP_b1588041841t_bool tptp.if_fun2098446489t_bool tptp.fFalse) X) Y) Y))) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f592646513l_bool (tptp.hAPP_b1812770943l_bool tptp.cOMBK_1656150864t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_P324742453l_bool (tptp.hAPP_f2068374643l_bool tptp.cOMBK_246631416le_alt P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun961089132t_bool P) (= (tptp.hAPP_b1703662281t_bool (tptp.hAPP_f340261009t_bool tptp.cOMBK_545135096l_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1568535512t_bool P) (= (tptp.hAPP_P332578347t_bool (tptp.hAPP_f1165814111t_bool tptp.cOMBK_859929070le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun961089132t_bool P) (= (tptp.hAPP_P1341894483t_bool (tptp.hAPP_f1066247963t_bool tptp.cOMBK_812212462t_unit P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f210572555l_bool (tptp.hAPP_f1460506473l_bool tptp.cOMBK_1693871704t_bool P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun279392540l_bool P) (= (tptp.hAPP_b1812770943l_bool (tptp.hAPP_f256804927l_bool tptp.cOMBK_69806648l_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1236654035i_bool P) (= (tptp.hAPP_P1875867302i_bool (tptp.hAPP_f1348208725i_bool tptp.cOMBK_1915602921le_alt P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun961089132t_bool P) (= (tptp.hAPP_A1677245848t_bool (tptp.hAPP_f329301088t_bool tptp.cOMBK_1076156777e_indi P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1568535512t_bool P) (= (tptp.hAPP_f1710744577t_bool (tptp.hAPP_f478658281t_bool tptp.cOMBK_1589894370t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun279392540l_bool P) (= (tptp.hAPP_P1294997365l_bool (tptp.hAPP_f2028504885l_bool tptp.cOMBK_384545070t_unit P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A862370221t_bool (tptp.hAPP_f1663053423t_bool (tptp.hAPP_f653880381t_bool tptp.cOMBC_1635684702l_bool P) Q) R) (tptp.hAPP_f592646513l_bool (tptp.hAPP_A187815023l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f965095724l_bool (tptp.hAPP_b1048178734l_bool tptp.cOMBK_272667621t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1236654035i_bool P) (= (tptp.hAPP_f244157820i_bool (tptp.hAPP_f2136780329i_bool tptp.cOMBK_480812327t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun279392540l_bool P) (= (tptp.hAPP_A60074736l_bool (tptp.hAPP_f1659309744l_bool tptp.cOMBK_657557929e_indi P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f839832464l_bool (tptp.hAPP_f746617550l_bool tptp.cOMBK_370033373t_bool P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun288122577l_bool P) (= (tptp.hAPP_b1048178734l_bool (tptp.hAPP_f823172443l_bool tptp.cOMBK_1021277149l_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1677245848t_bool (tptp.hAPP_A1805174428t_bool (tptp.hAPP_f1808153265t_bool tptp.cOMBC_1353880399t_bool P) Q) R) (tptp.hAPP_A568203993t_bool (tptp.hAPP_A1625428400t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1568535512t_bool P) (= (tptp.hAPP_f1891021702t_bool (tptp.hAPP_f587035834t_bool tptp.cOMBK_1048254163t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun288122577l_bool P) (= (tptp.hAPP_P254387896l_bool (tptp.hAPP_f512628453l_bool tptp.cOMBK_295807955t_unit P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1664620203t_bool (tptp.hAPP_f1617919085t_bool (tptp.hAPP_f2058969401t_bool tptp.cOMBC_364043868t_bool P) Q) R) (tptp.hAPP_f1663053423t_bool (tptp.hAPP_A572596845t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P606313927t_bool (tptp.hAPP_f515126293t_bool (tptp.hAPP_f49469479t_bool tptp.cOMBC_864945570l_bool P) Q) R) (tptp.hAPP_f592646513l_bool (tptp.hAPP_P229966473l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1236654035i_bool P) (= (tptp.hAPP_f1948454017i_bool (tptp.hAPP_f1368393520i_bool tptp.cOMBK_684046286t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun288122577l_bool P) (= (tptp.hAPP_A1952883197l_bool (tptp.hAPP_f1686853802l_bool tptp.cOMBK_215999438e_indi P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1625428400t_bool (tptp.hAPP_A1906441908t_bool (tptp.hAPP_f248867553t_bool tptp.cOMBC_898791271t_bool P) Q) R) (tptp.hAPP_A1941004017t_bool (tptp.hAPP_A621939144t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f592646513l_bool (tptp.hAPP_f111185985l_bool (tptp.hAPP_f2018922499l_bool tptp.cOMBC_62805014l_bool P) Q) R) (tptp.hAPP_f1749234559l_bool (tptp.hAPP_f566237389l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A187815023l_bool (tptp.hAPP_f1539445765l_bool (tptp.cOMBB_84213429le_alt P) Q) R) (tptp.hAPP_P229966473l_bool P (tptp.hAPP_A702847159le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1677245848t_bool (tptp.hAPP_f329301088t_bool (tptp.hAPP_f573120177t_bool tptp.cOMBC_633721483t_bool P) Q) R) (tptp.hAPP_f515126293t_bool (tptp.hAPP_A1102281708t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1677245848t_bool (tptp.hAPP_f1740414619t_bool (tptp.cOMBS_1064524443t_bool P) Q) R) (tptp.hAPP_f515126293t_bool (tptp.hAPP_A1102281708t_bool P R) (tptp.hAPP_A1677245848t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f312250286l_bool (tptp.hAPP_b517355696l_bool tptp.cOMBK_1626390631t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun279392540l_bool P) (= (tptp.hAPP_f1277514478l_bool (tptp.hAPP_f1924755118l_bool tptp.cOMBK_2038534567t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f1624277646l_bool (tptp.hAPP_f214899148l_bool tptp.cOMBK_2117707615t_bool P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun158382675l_bool P) (= (tptp.hAPP_b517355696l_bool (tptp.hAPP_f779223135l_bool tptp.cOMBK_1305974367l_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1625428400t_bool (tptp.hAPP_f721938099t_bool (tptp.cOMBB_2032668066e_indi P) Q) R) (tptp.hAPP_f393984045t_bool P (tptp.hAPP_A1677245848t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1568535512t_bool P) (= (tptp.hAPP_f1866147972t_bool (tptp.hAPP_f894574520t_bool tptp.cOMBK_1733280085t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun158382675l_bool P) (= (tptp.hAPP_P1171466554l_bool (tptp.hAPP_f1028353513l_bool tptp.cOMBK_731023445t_unit P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1236654035i_bool P) (= (tptp.hAPP_f1552576127i_bool (tptp.hAPP_f2129183278i_bool tptp.cOMBK_1626211664t_bool P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun158382675l_bool P) (= (tptp.hAPP_A1112981887l_bool (tptp.hAPP_f2069340078l_bool tptp.cOMBK_1389630288e_indi P) Q) P))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f965095724l_bool (tptp.hAPP_f146009813l_bool (tptp.hAPP_f1956380189l_bool tptp.cOMBC_574836706l_bool P) Q) R) (tptp.hAPP_f777333846l_bool (tptp.hAPP_f461621971l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1553574765l_bool (tptp.hAPP_f156764033l_bool (tptp.cOMBB_2112722489le_alt P) Q) R) (tptp.hAPP_f1539445765l_bool P (tptp.hAPP_A1505516597le_alt Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A621939144t_bool (tptp.hAPP_f210227915t_bool (tptp.cOMBB_1769989562e_indi P) Q) R) (tptp.hAPP_f344580165t_bool P (tptp.hAPP_A1677245848t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1102281708t_bool (tptp.hAPP_f1909278132t_bool (tptp.hAPP_f1297018969t_bool tptp.cOMBC_510421983t_bool P) Q) R) (tptp.hAPP_f427493225t_bool (tptp.hAPP_A1455239488t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1102281708t_bool (tptp.hAPP_f1842612975t_bool (tptp.cOMBS_131695599t_bool P) Q) R) (tptp.hAPP_f427493225t_bool (tptp.hAPP_A1455239488t_bool P R) (tptp.hAPP_A1677245848t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A572596845t_bool (tptp.hAPP_f1324249913t_bool (tptp.cOMBB_747702273le_alt P) Q) R) (tptp.hAPP_f653880381t_bool P (tptp.hAPP_A1553574765l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1455239488t_bool (tptp.hAPP_f586238575t_bool (tptp.cOMBB_2107911302e_indi P) Q) R) (tptp.hAPP_b1588041841t_bool P (tptp.hAPP_A1785763630i_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f312250286l_bool (tptp.hAPP_f1765205l_bool (tptp.hAPP_f862836377l_bool tptp.cOMBC_564645218l_bool P) Q) R) (tptp.hAPP_f250445784l_bool (tptp.hAPP_f1253375959l_bool P R) Q))) _let_4 true))))))))))))))))))))))
% 0.65/1.46 )
% 0.65/1.46 % SZS output end Proof for SCT171+3
% 0.65/1.46 % cvc5---1.0.5 exiting
% 0.65/1.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------