%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SCT171+2 : TPTP v9.2.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 : Tue May 5 05:06:18 PM UTC 2026
% Result : Theorem 1.89s 1.78s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_1009)
% Comments :
%------------------------------------------------------------------------------
fof(fact_83__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Amk,axiom,
! [X14] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> ( ( hAPP_A1895296483di_nat(h,X14) = n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
& ( hAPP_A1895296483di_nat(h,X14) != n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) )
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Amk) ).
fof(fact_683_card__less__Suc2,axiom,
! [X75,X221] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
=> finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_683_card__less__Suc2) ).
fof(fact_228__096_B_Bthesis_O_A_I_B_Bn_O_A_091_124_An_A_060_AN_059_AALL_Am_060_061n_,axiom,
~ ! [X78] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X78),finite354462354e_indi(top_to207207712i_bool)))
=> ( ! [X29] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),X78))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) )
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X78),one_one_nat)))),lab)),lba)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228__096_B_Bthesis_O_A_I_B_Bn_O_A_091_124_An_A_060_AN_059_AALL_Am_060_061n_) ).
fof(fact_183__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am,axiom,
! [X14] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> ( ( hAPP_A1895296483di_nat(h,X14) = n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
& ( hAPP_A1895296483di_nat(h,X14) != n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) )
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am) ).
fof(fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J,axiom,
! [X14] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X14)))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> ( ( hAPP_A1895296483di_nat(h,X14) = n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
& ( hAPP_A1895296483di_nat(h,X14) != n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J) ).
fof(fact_681_card__less__Suc,axiom,
! [X75,X221] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
=> hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_681_card__less__Suc) ).
fof(fact_178_Collect__def,axiom,
! [X9] : collect_nat(X9) = X9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_Collect__def) ).
fof(fact_85_notin__Lin__iff,axiom,
! [X4,X5,X6] :
( ( is_Arr723427730le_alt(X4)
& is_Arr723427730le_alt(X5) )
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> ( X4 != X5
=> ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),X6)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_notin__Lin__iff) ).
fof(fact_86_Lin__irrefl,axiom,
! [X12,X13,X6] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),X6))
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),X6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_Lin__irrefl) ).
fof(fact_682_card__less,axiom,
! [X75,X221] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
=> finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) != zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_682_card__less) ).
fof(fact_609_finite__less__ub,axiom,
! [X216,X74] :
( ! [X78] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X78),hAPP_nat_nat(X74,X78)))
=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X74)),X216)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_609_finite__less__ub) ).
fof(fact_524_add__leE,axiom,
! [X197,X198,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
=> ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X199)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_524_add__leE) ).
fof(fact_546_not__add__less1,axiom,
! [X207,X208] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),X207)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_546_not__add__less1) ).
fof(fact_547_not__add__less2,axiom,
! [X208,X207] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X207)),X207)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_547_not__add__less2) ).
fof(fact_192_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X74),pi_Pro1208494515le_alt(X71,X76)))
=> ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X74,X4)),hAPP_P401722323t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_PiE) ).
fof(fact_191_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X74),pi_boo1542163389le_alt(X71,X76)))
=> ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X74,X4)),hAPP_b763490121t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_PiE) ).
fof(fact_190_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X74),pi_Arr1064242500le_alt(X71,X76)))
=> ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X74,X4)),hAPP_A340536322t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_PiE) ).
fof(fact_218_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),hAPP_f1895971544l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_PiE) ).
fof(fact_200_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X74),pi_Pro1925515229t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X74,X4)),hAPP_P288224245l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_PiE) ).
fof(fact_199_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X74),pi_boo1746012499t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X74,X4)),hAPP_b805997823l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_PiE) ).
fof(fact_219_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),hAPP_A659996934l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_PiE) ).
fof(fact_198_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X74),pi_Pro831923248t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X74,X4)),hAPP_P1305865168l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_PiE) ).
fof(fact_197_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X74),pi_boo68262458t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X74,X4)),hAPP_b651754310l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_PiE) ).
fof(fact_196_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X74),pi_Arr742795713t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X74,X4)),hAPP_A955165183l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_PiE) ).
fof(fact_195_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X74),pi_Pro1114473858t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X74,X4)),hAPP_P667392034l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_PiE) ).
fof(fact_194_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X74),pi_boo679625100t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X74,X4)),hAPP_b1461182872l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_PiE) ).
fof(fact_193_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X74),pi_Arr656802323t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X74,X4)),hAPP_A701636433l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_PiE) ).
fof(fact_217_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X74),pi_nat_Product_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X74,X4)),hAPP_n454528608t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_PiE) ).
fof(fact_214_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X74),pi_fun1012573681t_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X74,X4)),hAPP_f649586561t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_PiE) ).
fof(fact_211_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X74),pi_fun1390764464t_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X74,X4)),hAPP_f1841347694t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_PiE) ).
fof(fact_208_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X74),pi_fun623621634t_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X74,X4)),hAPP_f1009478556t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_PiE) ).
fof(fact_205_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X74),pi_Pro269694131t_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X74,X4)),hAPP_P822772139t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_PiE) ).
fof(fact_203_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X74),pi_Product_unit_nat(X71,X76)))
=> ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X74,X4)),hAPP_P32877782t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_PiE) ).
fof(fact_202_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X74),pi_bool_nat(X71,X76)))
=> ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X74,X4)),hAPP_b1013836512t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_PiE) ).
fof(fact_201_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X74),pi_Arr604548589di_nat(X71,X76)))
=> ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X74,X4)),hAPP_A1948275303t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_PiE) ).
fof(fact_189_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),hAPP_P1122857141l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_PiE) ).
fof(fact_213_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X74),pi_fun568395771l_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X74,X4)),hAPP_f812095627l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_PiE) ).
fof(fact_210_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X74),pi_fun187048122l_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X74,X4)),hAPP_f721327224l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_PiE) ).
fof(fact_207_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X74),pi_fun1236347660l_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X74,X4)),hAPP_f591334822l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_PiE) ).
fof(fact_216_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X74),pi_nat_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X74,X4)),hAPP_n1006566506l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_PiE) ).
fof(fact_204_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X74),pi_Pro58544964e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X74,X4)),hAPP_P957402556i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_PiE) ).
fof(fact_212_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X74),pi_fun596906370e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X74,X4)),hAPP_f431432850i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_PiE) ).
fof(fact_209_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X74),pi_fun1353458625e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X74,X4)),hAPP_f783549695i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_PiE) ).
fof(fact_206_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X74),pi_fun268174099e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X74,X4)),hAPP_f1570138413i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_PiE) ).
fof(fact_215_PiE,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X74),pi_nat1476290531e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X74,X4)),hAPP_n1600508401i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_PiE) ).
fof(fact_606_finite__M__bounded__by__nat,axiom,
! [X9,X75] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X9),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_606_finite__M__bounded__by__nat) ).
fof(fact_625_ex__least__nat__less,axiom,
! [X26,X9] :
( ~ hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(X9,X26))
=> ? [X211] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X211),X26))
& ! [X14] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X14),X211))
=> ~ hBOOL(hAPP_nat_bool(X9,X14)) )
& hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),one_one_nat))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_625_ex__least__nat__less) ).
fof(fact_632_not__less__eq__eq,axiom,
! [X200,X26] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),X200)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_632_not__less__eq__eq) ).
fof(fact_626_ex__least__nat__le,axiom,
! [X26,X9] :
( ~ hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(X9,X26))
=> ? [X211] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X211),X26))
& ! [X14] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X211))
=> ~ hBOOL(hAPP_nat_bool(X9,X14)) )
& hBOOL(hAPP_nat_bool(X9,X211)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_626_ex__least__nat__le) ).
fof(fact_82__096_B_Bthesis_O_A_I_B_BLba_O_A_091_124_Ab_A_060_092_060_094bsub_062Lba_,axiom,
~ ! [X28] :
( is_fun20916972t_bool(X28)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),X28))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X28),arrow_912654623le_Lin)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82__096_B_Bthesis_O_A_I_B_BLba_O_A_091_124_Ab_A_060_092_060_094bsub_062Lba_) ).
fof(fact_81__096_B_Bthesis_O_A_I_B_BLab_O_A_091_124_Aa_A_060_092_060_094bsub_062Lab_,axiom,
~ ! [X27] :
( is_fun20916972t_bool(X27)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),X27))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X27),arrow_912654623le_Lin)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81__096_B_Bthesis_O_A_I_B_BLab_O_A_091_124_Aa_A_060_092_060_094bsub_062Lab_) ).
fof(fact_645_not__less__eq,axiom,
! [X200,X26] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_645_not__less__eq) ).
fof(fact_636_le__SucE,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),hAPP_nat_nat(suc,X199)))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
=> X197 = hAPP_nat_nat(suc,X199) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_636_le__SucE) ).
fof(fact_400_less__fun__def,axiom,
! [X74,X81] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X74),X81))
<=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X74),X81))
& ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X81),X74)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_400_less__fun__def) ).
fof(fact_275_less__le__not__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
<=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
& ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_less__le__not__le) ).
fof(fact_399_less__fun__def,axiom,
! [X74,X81] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X74),X81))
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
& ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X81),X74)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_399_less__fun__def) ).
fof(fact_278_less__le__not__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
& ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_278_less__le__not__le) ).
fof(fact_401_less__fun__def,axiom,
! [X74,X81] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X74),X81))
<=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X74),X81))
& ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X81),X74)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_401_less__fun__def) ).
fof(fact_276_less__le__not__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
<=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
& ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_less__le__not__le) ).
fof(fact_279_less__le__not__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_less__le__not__le) ).
fof(fact_277_less__le__not__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
<=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
& ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_less__le__not__le) ).
fof(fact_653_less__SucE,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199)))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> X197 = X199 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_653_less__SucE) ).
fof(fact_649_less__antisym,axiom,
! [X199,X197] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X197))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),hAPP_nat_nat(suc,X197)))
=> X197 = X199 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_649_less__antisym) ).
fof(fact_648_not__less__less__Suc__eq,axiom,
! [X26,X200] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200)))
<=> X26 = X200 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_648_not__less__less__Suc__eq) ).
fof(fact_631_Suc__n__not__le__n,axiom,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X199)),X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_631_Suc__n__not__le__n) ).
fof(fact_304_linorder__antisym__conv2,axiom,
! [X4,X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_linorder__antisym__conv2) ).
fof(fact_145_order__less__not__sym,axiom,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_order__less__not__sym) ).
fof(fact_141_order__less__imp__not__less,axiom,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_order__less__imp__not__less) ).
fof(fact_125_order__less__asym_H,axiom,
! [X12,X13] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_order__less__asym_H) ).
fof(fact_121_xt1_I9_J,axiom,
! [X13,X12] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_xt1_I9_J) ).
fof(fact_93_order__less__asym,axiom,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_order__less__asym) ).
fof(fact_144_order__less__not__sym,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_order__less__not__sym) ).
fof(fact_140_order__less__imp__not__less,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_order__less__imp__not__less) ).
fof(fact_124_order__less__asym_H,axiom,
! [X12,X13] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_order__less__asym_H) ).
fof(fact_120_xt1_I9_J,axiom,
! [X13,X12] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_xt1_I9_J) ).
fof(fact_92_order__less__asym,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_order__less__asym) ).
fof(fact_146_order__less__not__sym,axiom,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_order__less__not__sym) ).
fof(fact_142_order__less__imp__not__less,axiom,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_order__less__imp__not__less) ).
fof(fact_126_order__less__asym_H,axiom,
! [X12,X13] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_order__less__asym_H) ).
fof(fact_122_xt1_I9_J,axiom,
! [X13,X12] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_xt1_I9_J) ).
fof(fact_94_order__less__asym,axiom,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_order__less__asym) ).
fof(fact_268_linorder__not__le,axiom,
! [X4,X5] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_268_linorder__not__le) ).
fof(fact_298_leD,axiom,
! [X118,X119] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X118),X119))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X119),X118)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_leD) ).
fof(fact_267_linorder__not__less,axiom,
! [X4,X5] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_linorder__not__less) ).
fof(fact_155_not__less__iff__gr__or__eq,axiom,
! [X4,X5] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_not__less__iff__gr__or__eq) ).
fof(fact_147_order__less__not__sym,axiom,
! [X62,X63] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X63))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X62)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_order__less__not__sym) ).
fof(fact_143_order__less__imp__not__less,axiom,
! [X60,X61] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X60),X61))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X60)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_order__less__imp__not__less) ).
fof(fact_127_order__less__asym_H,axiom,
! [X54,X55] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X54),X55))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X54)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_order__less__asym_H) ).
fof(fact_123_xt1_I9_J,axiom,
! [X52,X53] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X52),X53))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X52)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_xt1_I9_J) ).
fof(fact_95_order__less__asym,axiom,
! [X32,X33] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X33))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X32)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_order__less__asym) ).
fof(fact_287_linorder__antisym__conv1,axiom,
! [X4,X5] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
<=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_287_linorder__antisym__conv1) ).
fof(fact_602_finite__Collect__le__nat,axiom,
! [X206] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X206)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_602_finite__Collect__le__nat) ).
fof(fact_601_finite__Collect__less__nat,axiom,
! [X206] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X206)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_601_finite__Collect__less__nat) ).
fof(fact_529_linorder__neqE__nat,axiom,
! [X201,X202] :
( X201 != X202
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X201)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_529_linorder__neqE__nat) ).
fof(fact_153_linorder__antisym__conv3,axiom,
! [X5,X4] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_linorder__antisym__conv3) ).
fof(fact_152_linorder__neqE,axiom,
! [X66,X67] :
( X66 != X67
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X66),X67))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X67),X66)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_linorder__neqE) ).
fof(fact_91_linorder__cases,axiom,
! [X30,X31] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X30),X31))
=> ( X30 != X31
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X31),X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_linorder__cases) ).
fof(fact_229_linorder__le__cases,axiom,
! [X79,X80] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X79),X80))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X80),X79)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_linorder__le__cases) ).
fof(fact_285_leI,axiom,
! [X110,X111] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X110),X111))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X111),X110)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_leI) ).
fof(fact_286_not__leE,axiom,
! [X112,X113] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X112),X113))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X113),X112)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_not__leE) ).
fof(help_fconj_2_1_U,axiom,
! [X226,X227] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227))
| hBOOL(X226) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_2_1_U) ).
fof(help_fconj_3_1_U,axiom,
! [X226,X227] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227))
| hBOOL(X227) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_3_1_U) ).
fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom,
! [X201,X202] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X201),X202))
| X201 = X202 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Nat__Onat_T) ).
fof(fact_158_order__less__irrefl,axiom,
! [X4] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_order__less__irrefl) ).
fof(fact_157_order__less__irrefl,axiom,
! [X4] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_order__less__irrefl) ).
fof(fact_159_order__less__irrefl,axiom,
! [X4] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_order__less__irrefl) ).
fof(fact_530_less__irrefl__nat,axiom,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_530_less__irrefl__nat) ).
fof(fact_527_less__not__refl,axiom,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_527_less__not__refl) ).
fof(fact_160_order__less__irrefl,axiom,
! [X70] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X70),X70)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_order__less__irrefl) ).
fof(fact_617_not__less0,axiom,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_617_not__less0) ).
fof(fact_615_less__nat__zero__code,axiom,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_615_less__nat__zero__code) ).
fof(fact_611_less__zeroE,axiom,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_611_less__zeroE) ).
fof(fact_59_not__top__less,axiom,
! [X12] : ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_not__top__less) ).
fof(fact_55_not__top__less,axiom,
! [X12] : ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_not__top__less) ).
fof(fact_57_not__top__less,axiom,
! [X12] : ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_not__top__less) ).
fof(fact_56_not__top__less,axiom,
! [X12] : ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_not__top__less) ).
fof(fact_61_not__top__less,axiom,
! [X12] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_not__top__less) ).
fof(fact_62_not__top__less,axiom,
! [X12] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_not__top__less) ).
fof(fact_60_not__top__less,axiom,
! [X12] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_not__top__less) ).
fof(fact_58_not__top__less,axiom,
! [X12] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_not__top__less) ).
fof(help_fconj_1_1_U,axiom,
! [X227,X226] :
( ~ hBOOL(X226)
| ~ hBOOL(X227)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_1_1_U) ).
fof(fact_680_card__Collect__le__nat,axiom,
! [X26] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X26))) = hAPP_nat_nat(suc,X26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_680_card__Collect__le__nat) ).
fof(fact_461_equalityE,axiom,
! [X71,X76] :
( X71 = X76
=> ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_461_equalityE) ).
fof(fact_604_card__Collect__less__nat,axiom,
! [X26] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X26))) = X26,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_604_card__Collect__less__nat) ).
fof(fact_6__C2_C,axiom,
! [X8,X9,X10,X11,X12,X13] :
( ( is_Arr723427730le_alt(X10)
& is_Arr723427730le_alt(X11)
& is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13) )
=> ( X12 != X13
=> ( X10 != X11
=> ( X12 != X11
=> ( X13 != X10
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
=> ( ! [X14] :
( is_Arr859726945e_indi(X14)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__C2_C) ).
fof(fact_7__C1_C,axiom,
! [X8,X9,X10,X11,X12,X13] :
( ( is_Arr723427730le_alt(X10)
& is_Arr723427730le_alt(X11)
& is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13) )
=> ( X12 != X13
=> ( X10 != X11
=> ( X12 != X11
=> ( X13 != X10
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
=> ( ! [X14] :
( is_Arr859726945e_indi(X14)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__C1_C) ).
fof(fact_9_pairwise__neutrality,axiom,
! [X8,X9,X10,X11,X12,X13] :
( ( is_Arr723427730le_alt(X10)
& is_Arr723427730le_alt(X11)
& is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13) )
=> ( X12 != X13
=> ( X10 != X11
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
=> ( ! [X14] :
( is_Arr859726945e_indi(X14)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_A340536322t_bool(X8,X14))) ) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_pairwise__neutrality) ).
fof(fact_182__096_Ic_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am,axiom,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182__096_Ic_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am) ).
fof(fact_72__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amk,axiom,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amk) ).
fof(fact_14_PW,axiom,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).
fof(fact_227__096EX_An_060N_O_A_IALL_Am_060_061n_O_Ab_A_060_092_060_094bsub_062F_A_I,axiom,
? [X78] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X78),finite354462354e_indi(top_to207207712i_bool)))
& ! [X29] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),X78))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) )
& hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X78),one_one_nat)))),lab)),lba)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227__096EX_An_060N_O_A_IALL_Am_060_061n_O_Ab_A_060_092_060_094bsub_062F_A_I) ).
fof(fact_23_IIA__def,axiom,
! [X23] :
( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X23))
<=> ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
=> ! [X25] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X25),arrow_583275979e_Prof))
=> ! [X17,X18] :
( ( is_Arr723427730le_alt(X17)
& is_Arr723427730le_alt(X18) )
=> ( ! [X14] :
( is_Arr859726945e_indi(X14)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X14)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X25,X14))) ) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X25))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_IIA__def) ).
fof(fact_8__C4_C,axiom,
! [X8,X9,X15,X12,X13] :
( ( is_Arr723427730le_alt(X15)
& is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13) )
=> ( X12 != X13
=> ( X13 != X15
=> ( X12 != X15
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
=> ( ! [X14] :
( is_Arr859726945e_indi(X14)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X15)),hAPP_A340536322t_bool(X8,X14))) ) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X15)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__C4_C) ).
fof(fact_84_n_I2_J,axiom,
! [X29] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_n_I2_J) ).
fof(fact_80_PiProf,axiom,
! [X26] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X26))),lab)),lba)),arrow_583275979e_Prof)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_PiProf) ).
fof(fact_10__C3_C,axiom,
! [X8,X9,X12,X13] :
( ( is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13) )
=> ( X12 != X13
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X9),arrow_583275979e_Prof))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X8),arrow_583275979e_Prof))
=> ( ! [X14] :
( is_Arr859726945e_indi(X14)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_A340536322t_bool(X9,X14)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),hAPP_A340536322t_bool(X8,X14))) ) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),hAPP_f1817389232t_bool(f,X9)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),hAPP_f1817389232t_bool(f,X8))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__C3_C) ).
fof(fact_405_pred__subset__eq2,axiom,
! [X73,X72] :
( hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X73)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X72)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_405_pred__subset__eq2) ).
fof(fact_24_unanimity__def,axiom,
! [X23] :
( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X23))
<=> ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
=> ! [X17,X18] :
( ( is_Arr723427730le_alt(X17)
& is_Arr723427730le_alt(X18) )
=> ( ! [X14] :
( is_Arr859726945e_indi(X14)
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X14))) )
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_unanimity__def) ).
fof(fact_580_Pi__cong,axiom,
! [X76,X81,X74,X71] :
( ! [X215] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X215),X71))
=> ( hBOOL(hAPP_P1813625415t_bool(X74,X215))
<=> hBOOL(hAPP_P1813625415t_bool(X81,X215)) ) )
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
<=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X81),pi_Pro1873779901t_bool(X71,X76))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_580_Pi__cong) ).
fof(fact_568_mono__nat__linear__lb,axiom,
! [X200,X206,X74] :
( ! [X29,X78] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X78))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X74,X29)),hAPP_nat_nat(X74,X78))) )
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X74,X200)),X206)),hAPP_nat_nat(X74,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X206)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_568_mono__nat__linear__lb) ).
fof(fact_180_pred__equals__eq2,axiom,
! [X72,X73] :
( ( is_fun20916972t_bool(X72)
& is_fun20916972t_bool(X73) )
=> ( ! [X24,X25] :
( ( is_Arr723427730le_alt(X24)
& is_Arr723427730le_alt(X25) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X24),X25)),X73))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X24),X25)),X72)) ) )
<=> X73 = X72 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_pred__equals__eq2) ).
fof(fact_569_less__mono__imp__le__mono,axiom,
! [X75,X212,X74] :
( ! [X14,X213] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X213))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X74,X14)),hAPP_nat_nat(X74,X213))) )
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X75),X212))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X74,X75)),hAPP_nat_nat(X74,X212))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_569_less__mono__imp__le__mono) ).
fof(fact_501_Pi__mono,axiom,
! [X76,X195,X71] :
( ! [X24] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X76,X24)),hAPP_P1122857141l_bool(X195,X24))) )
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X71,X76)),pi_Pro1873779901t_bool(X71,X195))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_501_Pi__mono) ).
fof(fact_503_Pi__mono,axiom,
! [X76,X195,X71] :
( ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X76,X24)),hAPP_f1895971544l_bool(X195,X24))) )
=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X71,X76)),pi_fun1555365306t_bool(X71,X195))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_503_Pi__mono) ).
fof(fact_502_Pi__mono,axiom,
! [X76,X195,X71] :
( ! [X24] :
( is_Arr859726945e_indi(X24)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X76,X24)),hAPP_A659996934l_bool(X195,X24))) ) )
=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X71,X76)),pi_Arr1801471756t_bool(X71,X195))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_502_Pi__mono) ).
fof(fact_179_in__above,axiom,
! [X4,X5,X6,X12,X13] :
( ( is_Arr723427730le_alt(X4)
& is_Arr723427730le_alt(X5)
& is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13) )
=> ( X12 != X13
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X6),X12),X13)))
<=> ( X4 != X5
& ( X4 = X13
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X5)),X6)) )
& ( X4 != X13
=> ( ( X5 = X13
=> ( X4 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X12)),X6)) ) )
& ( X5 != X13
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_in__above) ).
fof(fact_583_Pi__I_H,axiom,
! [X74,X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),hAPP_P1122857141l_bool(X76,X24))) )
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_583_Pi__I_H) ).
fof(fact_389_Pi__I,axiom,
! [X74,X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),hAPP_P1122857141l_bool(X76,X24))) )
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_389_Pi__I) ).
fof(fact_585_Pi__I_H,axiom,
! [X74,X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),hAPP_f1895971544l_bool(X76,X24))) )
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_585_Pi__I_H) ).
fof(fact_391_Pi__I,axiom,
! [X74,X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),hAPP_f1895971544l_bool(X76,X24))) )
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_391_Pi__I) ).
fof(fact_584_Pi__I_H,axiom,
! [X74,X76,X71] :
( ! [X24] :
( is_Arr859726945e_indi(X24)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),hAPP_A659996934l_bool(X76,X24))) ) )
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_584_Pi__I_H) ).
fof(fact_390_Pi__I,axiom,
! [X74,X76,X71] :
( ! [X24] :
( is_Arr859726945e_indi(X24)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),hAPP_A659996934l_bool(X76,X24))) ) )
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_390_Pi__I) ).
fof(fact_523_in__below,axiom,
! [X4,X5,X6,X12,X13] :
( ( is_Arr723427730le_alt(X4)
& is_Arr723427730le_alt(X5)
& is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13) )
=> ( X12 != X13
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),arrow_207701375_below(X6,X12,X13)))
<=> ( X4 != X5
& ( X5 = X12
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X13)),X6)) )
& ( X5 != X12
=> ( ( X4 = X12
=> ( X5 = X13
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X5)),X6)) ) )
& ( X4 != X12
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_523_in__below) ).
fof(fact_582_Pi__cong,axiom,
! [X76,X74,X81,X71] :
( ! [X215] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X215),X71))
=> hAPP_f1817389232t_bool(X74,X215) = hAPP_f1817389232t_bool(X81,X215) )
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
<=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X81),pi_fun1555365306t_bool(X71,X76))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_582_Pi__cong) ).
fof(fact_581_Pi__cong,axiom,
! [X76,X74,X81,X71] :
( ! [X215] :
( is_Arr859726945e_indi(X215)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X215),X71))
=> hAPP_A340536322t_bool(X74,X215) = hAPP_A340536322t_bool(X81,X215) ) )
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
<=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X81),pi_Arr1801471756t_bool(X71,X76))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_581_Pi__cong) ).
fof(fact_188_dictatorI,axiom,
! [X75,X23] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X23),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin))))
=> ( ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
=> ! [X17,X18] :
( ( is_Arr723427730le_alt(X17)
& is_Arr723427730le_alt(X18) )
=> ( X17 != X18
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_A340536322t_bool(X24,X75)))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18)),hAPP_f1817389232t_bool(X23,X24))) ) ) ) )
=> hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X23),X75)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_dictatorI) ).
fof(fact_576_funcsetI,axiom,
! [X74,X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X24)),X76)) )
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_576_funcsetI) ).
fof(fact_578_funcsetI,axiom,
! [X74,X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X24)),X76)) )
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_578_funcsetI) ).
fof(fact_577_funcsetI,axiom,
! [X74,X76,X71] :
( ! [X24] :
( is_Arr859726945e_indi(X24)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X24)),X76)) ) )
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_577_funcsetI) ).
fof(fact_4_in__mkbot,axiom,
! [X4,X5,X6,X7] :
( ( is_Arr723427730le_alt(X4)
& is_Arr723427730le_alt(X5)
& is_Arr723427730le_alt(X7) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X6),X7)))
<=> ( X5 != X7
& ( X4 = X7
=> X4 != X5 )
& ( X4 != X7
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_in__mkbot) ).
fof(fact_5_in__mktop,axiom,
! [X4,X5,X6,X7] :
( ( is_Arr723427730le_alt(X4)
& is_Arr723427730le_alt(X5)
& is_Arr723427730le_alt(X7) )
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X6),X7)))
<=> ( X4 != X7
& ( X5 = X7
=> X4 != X5 )
& ( X5 != X7
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_in__mktop) ).
fof(fact_436_le__funI,axiom,
! [X74,X81] :
( ! [X24] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X24)),hAPP_nat_bool(X81,X24)))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_436_le__funI) ).
fof(fact_266_le__fun__def,axiom,
! [X74,X81] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
<=> ! [X24] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X24)),hAPP_nat_bool(X81,X24))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_le__fun__def) ).
fof(fact_600_card__bij,axiom,
! [X81,X74,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
=> ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X74),X71))
=> ( hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X81),pi_fun328162388t_bool(X76,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X71))))
=> ( hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X81),X76))
=> ( hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X71))
=> ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
=> finite1524925796t_bool(X71) = finite945540987t_bool(X76) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_600_card__bij) ).
fof(fact_597_card__bij,axiom,
! [X81,X74,X71,X76] :
( hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X74),pi_fun328162388t_bool(X71,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X76))))
=> ( hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X74),X71))
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X81),pi_fun1555365306t_bool(X76,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X71))))
=> ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X81),X76))
=> ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X71))
=> ( hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X76))
=> finite945540987t_bool(X71) = finite1524925796t_bool(X76) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_597_card__bij) ).
fof(fact_596_card__bij,axiom,
! [X81,X74,X71,X76] :
( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X74),pi_fun596906370e_indi(X71,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X76))))
=> ( hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X74),X71))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X81),pi_Arr1801471756t_bool(X76,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X71))))
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X81),X76))
=> ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X71))
=> ( hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X76))
=> finite945540987t_bool(X71) = finite354462354e_indi(X76) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_596_card__bij) ).
fof(fact_599_card__bij,axiom,
! [X81,X74,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X74),X71))
=> ( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X81),pi_fun596906370e_indi(X76,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X71))))
=> ( hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X81),X76))
=> ( hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X71))
=> ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
=> finite354462354e_indi(X71) = finite945540987t_bool(X76) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_599_card__bij) ).
fof(fact_598_card__bij,axiom,
! [X81,X74,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
=> ( hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X74),X71))
=> ( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X81),pi_boo1542163389le_alt(X76,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X71))))
=> ( hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X81),X76))
=> ( hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X71))
=> ( hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X76))
=> finite1044330389le_alt(X71) = finite_card_bool(X76) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_598_card__bij) ).
fof(fact_89_above__Lin,axiom,
! [X6,X4,X5] :
( ( is_Arr723427730le_alt(X4)
& is_Arr723427730le_alt(X5) )
=> ( X4 != X5
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X6),X4),X5)),arrow_912654623le_Lin)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_above__Lin) ).
fof(fact_699_subset__card__intvl__is__intvl,axiom,
! [X71,X206] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),hAPP_n1699378549t_bool(ord_at4362885an_nat(X206),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),finite_card_nat(X71)))))
=> X71 = hAPP_n1699378549t_bool(ord_at4362885an_nat(X206),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),finite_card_nat(X71))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_699_subset__card__intvl__is__intvl) ).
fof(fact_428_add__le__cancel__right,axiom,
! [X12,X15,X13] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X15)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_428_add__le__cancel__right) ).
fof(fact_423_add__le__imp__le__right,axiom,
! [X166,X167,X168] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X166),X167)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X168),X167)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X166),X168)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_423_add__le__imp__le__right) ).
fof(fact_563_nat__add__left__cancel__le,axiom,
! [X206,X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_563_nat__add__left__cancel__le) ).
fof(fact_427_add__le__cancel__left,axiom,
! [X15,X12,X13] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X13)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_427_add__le__cancel__left) ).
fof(fact_422_add__le__imp__le__left,axiom,
! [X163,X164,X165] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X163),X164)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X163),X165)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X164),X165)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_422_add__le__imp__le__left) ).
fof(fact_435_add__less__cancel__right,axiom,
! [X12,X15,X13] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X15)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_435_add__less__cancel__right) ).
fof(fact_430_add__less__imp__less__right,axiom,
! [X182,X183,X184] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X182),X183)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X184),X183)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X182),X184)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_430_add__less__imp__less__right) ).
fof(fact_548_nat__add__left__cancel__less,axiom,
! [X206,X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_548_nat__add__left__cancel__less) ).
fof(fact_434_add__less__cancel__left,axiom,
! [X15,X12,X13] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X13)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_434_add__less__cancel__left) ).
fof(fact_429_add__less__imp__less__left,axiom,
! [X179,X180,X181] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X179),X180)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X179),X181)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X180),X181)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_429_add__less__imp__less__left) ).
fof(fact_500_pred__subset__eq,axiom,
! [X73,X72] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X73)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X72)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_500_pred__subset__eq) ).
fof(fact_497_pred__subset__eq,axiom,
! [X73,X72] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X73)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X72)))
<=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_497_pred__subset__eq) ).
fof(fact_498_pred__subset__eq,axiom,
! [X73,X72] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X73)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X72)))
<=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_498_pred__subset__eq) ).
fof(fact_499_pred__subset__eq,axiom,
! [X73,X72] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X73)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X72)))
<=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_499_pred__subset__eq) ).
fof(fact_494_pred__subset__eq,axiom,
! [X73,X72] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X73)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X72)))
<=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_494_pred__subset__eq) ).
fof(fact_496_pred__subset__eq,axiom,
! [X73,X72] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X73)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X72)))
<=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_496_pred__subset__eq) ).
fof(fact_493_pred__subset__eq,axiom,
! [X73,X72] :
( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X73)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X72)))
<=> hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_493_pred__subset__eq) ).
fof(fact_495_pred__subset__eq,axiom,
! [X73,X72] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X73)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X72)))
<=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X73),X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_495_pred__subset__eq) ).
fof(fact_567_add__le__mono,axiom,
! [X198,X210,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X210))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X210))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_567_add__le__mono) ).
fof(fact_424_add__mono,axiom,
! [X169,X170,X171,X172] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X171),X172))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X169),X170))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X171),X169)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X172),X170))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_424_add__mono) ).
fof(fact_395_add__less__le__mono,axiom,
! [X141,X142,X143,X144] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X143),X144))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X141),X142))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X143),X141)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X144),X142))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_395_add__less__le__mono) ).
fof(fact_396_add__le__less__mono,axiom,
! [X145,X146,X147,X148] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X147),X148))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X145),X146))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X147),X145)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X148),X146))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_396_add__le__less__mono) ).
fof(fact_552_add__less__mono,axiom,
! [X198,X210,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X210))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X210))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_552_add__less__mono) ).
fof(fact_431_add__strict__mono,axiom,
! [X185,X186,X187,X188] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X187),X188))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X185),X186))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X187),X185)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X188),X186))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_431_add__strict__mono) ).
fof(fact_684_inc__induct,axiom,
! [X9,X75,X212] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X75),X212))
=> ( hBOOL(hAPP_nat_bool(X9,X212))
=> ( ! [X14] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X212))
=> ( hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X14)))
=> hBOOL(hAPP_nat_bool(X9,X14)) ) )
=> hBOOL(hAPP_nat_bool(X9,X75)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_684_inc__induct) ).
fof(fact_575_in__rel__def,axiom,
! [X73,X4,X5] :
( hBOOL(in_rel1361124802le_alt(X73,X4,X5))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X73)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_575_in__rel__def) ).
fof(fact_525_add__leD1,axiom,
! [X197,X198,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_525_add__leD1) ).
fof(fact_526_add__leD2,axiom,
! [X197,X198,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_526_add__leD2) ).
fof(fact_554_add__lessD1,axiom,
! [X207,X208,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),X198))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X198)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_554_add__lessD1) ).
fof(fact_379_funcset__mem,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_379_funcset__mem) ).
fof(fact_378_funcset__mem,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_378_funcset__mem) ).
fof(fact_377_funcset__mem,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_377_funcset__mem) ).
fof(fact_544_below__Lin,axiom,
! [X6,X4,X5] :
( ( is_Arr723427730le_alt(X4)
& is_Arr723427730le_alt(X5) )
=> ( X4 != X5
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X6,X4,X5)),arrow_912654623le_Lin)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_544_below__Lin) ).
fof(fact_566_add__le__mono1,axiom,
! [X198,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X198))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_566_add__le__mono1) ).
fof(fact_426_add__right__mono,axiom,
! [X176,X177,X178] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X177),X178))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X177),X176)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X178),X176))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_426_add__right__mono) ).
fof(fact_425_add__left__mono,axiom,
! [X173,X174,X175] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X174),X175))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X173),X174)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X173),X175))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_425_add__left__mono) ).
fof(fact_551_add__less__mono1,axiom,
! [X198,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X198)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X198))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_551_add__less__mono1) ).
fof(fact_433_add__strict__right__mono,axiom,
! [X192,X193,X194] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X193),X194))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X193),X192)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X194),X192))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_433_add__strict__right__mono) ).
fof(fact_432_add__strict__left__mono,axiom,
! [X189,X190,X191] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X190),X191))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X189),X190)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X189),X191))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_432_add__strict__left__mono) ).
fof(fact_593_inj__on__cong,axiom,
! [X74,X81,X71] :
( ! [X17] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X17),X71))
=> hAPP_nat_nat(X74,X17) = hAPP_nat_nat(X81,X17) )
=> ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
<=> hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X81),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_593_inj__on__cong) ).
fof(fact_594_inj__on__cong,axiom,
! [X74,X81,X71] :
( ! [X17] :
( is_Arr859726945e_indi(X17)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X17),X71))
=> hAPP_A1895296483di_nat(X74,X17) = hAPP_A1895296483di_nat(X81,X17) ) )
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
<=> hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X81),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_594_inj__on__cong) ).
fof(conj_0,conjecture,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_590_card__inj,axiom,
! [X74,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X76))))
=> ( hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X74),X71))
=> ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X71)),finite945540987t_bool(X76))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_590_card__inj) ).
fof(fact_588_card__inj,axiom,
! [X74,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X76))))
=> ( hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X74),X71))
=> ( hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X76))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X71)),finite_card_bool(X76))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_588_card__inj) ).
fof(fact_586_card__inj,axiom,
! [X74,X71,X76] :
( hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X74),pi_nat_nat(X71,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X76))))
=> ( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
=> ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X76))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X71)),finite_card_nat(X76))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_586_card__inj) ).
fof(fact_589_card__inj,axiom,
! [X74,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X76))))
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X74),X71))
=> ( hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X76))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X71)),finite945540987t_bool(X76))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_589_card__inj) ).
fof(fact_587_card__inj,axiom,
! [X74,X71,X76] :
( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X74),pi_Arr604548589di_nat(X71,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X76))))
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
=> ( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X76))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X71)),finite_card_nat(X76))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_587_card__inj) ).
fof(fact_374_Pi__mem,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),hAPP_f1895971544l_bool(X76,X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_374_Pi__mem) ).
fof(fact_373_Pi__mem,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),hAPP_A659996934l_bool(X76,X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_373_Pi__mem) ).
fof(fact_372_Pi__mem,axiom,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),hAPP_P1122857141l_bool(X76,X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_372_Pi__mem) ).
fof(fact_79__096_Ib_M_Aa_J_A_126_058_ALab_096,axiom,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79__096_Ib_M_Aa_J_A_126_058_ALab_096) ).
fof(fact_78__096_Ia_M_Ab_J_A_126_058_ALba_096,axiom,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78__096_Ia_M_Ab_J_A_126_058_ALba_096) ).
fof(fact_624_add__gr__0,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X200))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_624_add__gr__0) ).
fof(fact_87_mktop__Lin,axiom,
! [X4,X6] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X6),X4)),arrow_912654623le_Lin)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_mktop__Lin) ).
fof(fact_88_mkbot__Lin,axiom,
! [X4,X6] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X6),X4)),arrow_912654623le_Lin)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_mkbot__Lin) ).
fof(fact_220_complete__Lin,axiom,
! [X12,X13] :
( ( is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13) )
=> ( X12 != X13
=> ? [X24] :
( is_fun20916972t_bool(X24)
& hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),arrow_912654623le_Lin))
& hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),X24)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_complete__Lin) ).
fof(fact_15_split__paired__All,axiom,
! [X9] :
( ! [X16] : hBOOL(hAPP_P1813625415t_bool(X9,X16))
<=> ! [X17,X18] :
( ( is_Arr723427730le_alt(X17)
& is_Arr723427730le_alt(X18) )
=> hBOOL(hAPP_P1813625415t_bool(X9,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X17),X18))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_split__paired__All) ).
fof(fact_634_Suc__le__mono,axiom,
! [X26,X200] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),hAPP_nat_nat(suc,X200)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X26),X200)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_634_Suc__le__mono) ).
fof(fact_655_Suc__less__SucD,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),hAPP_nat_nat(suc,X199)))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_655_Suc__less__SucD) ).
fof(fact_647_Suc__less__eq,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X200)),hAPP_nat_nat(suc,X26)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_647_Suc__less__eq) ).
fof(fact_666_less__add__Suc1,axiom,
! [X207,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X197)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_666_less__add__Suc1) ).
fof(fact_665_less__add__Suc2,axiom,
! [X207,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X207)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_665_less__add__Suc2) ).
fof(fact_652_less__trans__Suc,axiom,
! [X198,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X208),X198))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X207)),X198)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_652_less__trans__Suc) ).
fof(fact_691_Suc__lessE,axiom,
! [X207,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X207)),X198))
=> ~ ! [X213] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X213))
=> X198 != hAPP_nat_nat(suc,X213) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_691_Suc__lessE) ).
fof(fact_671_less__Suc__eq__0__disj,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
<=> ( X200 = zero_zero_nat
| ? [X213] :
( X200 = hAPP_nat_nat(suc,X213)
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X213),X26)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_671_less__Suc__eq__0__disj) ).
fof(fact_371_inj__onD,axiom,
! [X4,X5,X74,X71] :
( ( is_Arr859726945e_indi(X4)
& is_Arr859726945e_indi(X5) )
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
=> ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
=> X4 = X5 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_371_inj__onD) ).
fof(fact_367_inj__on__contraD,axiom,
! [X4,X5,X74,X71] :
( ( is_Arr859726945e_indi(X4)
& is_Arr859726945e_indi(X5) )
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
=> ( X4 != X5
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
=> hAPP_A1895296483di_nat(X74,X4) != hAPP_A1895296483di_nat(X74,X5) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_367_inj__on__contraD) ).
fof(fact_369_inj__on__iff,axiom,
! [X5,X4,X74,X71] :
( ( is_Arr859726945e_indi(X5)
& is_Arr859726945e_indi(X4) )
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X71))
=> ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
<=> X4 = X5 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_369_inj__on__iff) ).
fof(fact_365_inj__on__def,axiom,
! [X74,X71] :
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
<=> ! [X24] :
( is_Arr859726945e_indi(X24)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
=> ! [X25] :
( is_Arr859726945e_indi(X25)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X25),X71))
=> ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X25)
=> X24 = X25 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_365_inj__on__def) ).
fof(fact_511_subsetI,axiom,
! [X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X71))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X24),X76)) )
=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_511_subsetI) ).
fof(fact_508_subsetI,axiom,
! [X76,X71] :
( ! [X24] :
( is_fun20916972t_bool(X24)
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X24),X76)) ) )
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_508_subsetI) ).
fof(fact_509_subsetI,axiom,
! [X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X24),X71))
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X24),X76)) )
=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_509_subsetI) ).
fof(fact_510_subsetI,axiom,
! [X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X71))
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),X76)) )
=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_510_subsetI) ).
fof(fact_505_subsetI,axiom,
! [X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X24),X71))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X24),X76)) )
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_505_subsetI) ).
fof(fact_507_subsetI,axiom,
! [X76,X71] :
( ! [X24] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X76)) )
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_507_subsetI) ).
fof(fact_504_subsetI,axiom,
! [X76,X71] :
( ! [X24] :
( is_bool(X24)
=> ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X24),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X24),X76)) ) )
=> hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_504_subsetI) ).
fof(fact_506_subsetI,axiom,
! [X76,X71] :
( ! [X24] :
( is_Arr859726945e_indi(X24)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
=> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X76)) ) )
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_506_subsetI) ).
fof(fact_695_nat__induct,axiom,
! [X26,X9] :
( hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
=> ( ! [X78] :
( hBOOL(hAPP_nat_bool(X9,X78))
=> hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X78))) )
=> hBOOL(hAPP_nat_bool(X9,X26)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_695_nat__induct) ).
fof(fact_368_inj__on__iff,axiom,
! [X5,X4,X74,X71] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
=> ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
<=> X4 = X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_368_inj__on__iff) ).
fof(fact_370_inj__onD,axiom,
! [X4,X5,X74,X71] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
=> ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
=> X4 = X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_370_inj__onD) ).
fof(fact_366_inj__on__contraD,axiom,
! [X4,X5,X74,X71] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
=> ( X4 != X5
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X5),X71))
=> hAPP_nat_nat(X74,X4) != hAPP_nat_nat(X74,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_366_inj__on__contraD) ).
fof(fact_364_inj__on__def,axiom,
! [X74,X71] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
<=> ! [X24] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
=> ! [X25] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X25),X71))
=> ( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X25)
=> X24 = X25 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_364_inj__on__def) ).
fof(fact_402_Pi__anti__mono,axiom,
! [X76,X150,X71] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X150),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X71,X76)),pi_Pro1873779901t_bool(X150,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_402_Pi__anti__mono) ).
fof(fact_404_Pi__anti__mono,axiom,
! [X76,X150,X71] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X150),X71))
=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X71,X76)),pi_fun1555365306t_bool(X150,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_404_Pi__anti__mono) ).
fof(fact_403_Pi__anti__mono,axiom,
! [X76,X150,X71] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X150),X71))
=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X71,X76)),pi_Arr1801471756t_bool(X150,X76))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_403_Pi__anti__mono) ).
fof(fact_258_le__funD,axiom,
! [X4,X74,X81] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X4)),hAPP_nat_bool(X81,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_le__funD) ).
fof(fact_230_le__funE,axiom,
! [X4,X74,X81] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X74,X4)),hAPP_nat_bool(X81,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_le__funE) ).
fof(fact_637_Suc__leD,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_637_Suc__leD) ).
fof(fact_663_less__eq__Suc__le,axiom,
! [X26,X200] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),X200)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_663_less__eq__Suc__le) ).
fof(fact_661_Suc__le__eq,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X200)),X26))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_661_Suc__le__eq) ).
fof(fact_657_Suc__le__lessD,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_657_Suc__le__lessD) ).
fof(fact_654_Suc__lessD,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_654_Suc__lessD) ).
fof(fact_570_termination__basic__simps_I3_J,axiom,
! [X205,X201,X202] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_570_termination__basic__simps_I3_J) ).
fof(fact_564_trans__le__add1,axiom,
! [X197,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X197))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_564_trans__le__add1) ).
fof(fact_571_termination__basic__simps_I4_J,axiom,
! [X202,X201,X205] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X205))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_571_termination__basic__simps_I4_J) ).
fof(fact_565_trans__le__add2,axiom,
! [X197,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X208))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_565_trans__le__add2) ).
fof(fact_573_termination__basic__simps_I1_J,axiom,
! [X205,X201,X202] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_573_termination__basic__simps_I1_J) ).
fof(fact_549_trans__less__add1,axiom,
! [X197,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X197))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_549_trans__less__add1) ).
fof(fact_572_termination__basic__simps_I2_J,axiom,
! [X202,X201,X205] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X205))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_572_termination__basic__simps_I2_J) ).
fof(fact_550_trans__less__add2,axiom,
! [X197,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X208))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_550_trans__less__add2) ).
fof(fact_629_Suc__mono,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),hAPP_nat_nat(suc,X199))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_629_Suc__mono) ).
fof(fact_478_set__rev__mp,axiom,
! [X76,X4,X71] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_478_set__rev__mp) ).
fof(fact_487_in__mono,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_487_in__mono) ).
fof(fact_470_set__mp,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_470_set__mp) ).
fof(fact_445_subsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),X76))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X71))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_445_subsetD) ).
fof(fact_519_psubsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X71),X76))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X71))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_519_psubsetD) ).
fof(fact_475_set__rev__mp,axiom,
! [X76,X4,X71] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_475_set__rev__mp) ).
fof(fact_484_in__mono,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_484_in__mono) ).
fof(fact_467_set__mp,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_467_set__mp) ).
fof(fact_442_subsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),X76))
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_442_subsetD) ).
fof(fact_516_psubsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X71),X76))
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X71))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_516_psubsetD) ).
fof(fact_476_set__rev__mp,axiom,
! [X76,X4,X71] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_476_set__rev__mp) ).
fof(fact_485_in__mono,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_485_in__mono) ).
fof(fact_468_set__mp,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_468_set__mp) ).
fof(fact_443_subsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),X76))
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X71))
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_443_subsetD) ).
fof(fact_517_psubsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X71),X76))
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X71))
=> hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_517_psubsetD) ).
fof(fact_477_set__rev__mp,axiom,
! [X76,X4,X71] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_477_set__rev__mp) ).
fof(fact_486_in__mono,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_486_in__mono) ).
fof(fact_469_set__mp,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_469_set__mp) ).
fof(fact_444_subsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),X76))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X71))
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_444_subsetD) ).
fof(fact_518_psubsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X71),X76))
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X71))
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_518_psubsetD) ).
fof(fact_456_psubset__subset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X76),X195))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_456_psubset__subset__trans) ).
fof(fact_321_order__less__le__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X7))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_order__less__le__trans) ).
fof(fact_459_subset__psubset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X76),X195))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_459_subset__psubset__trans) ).
fof(fact_331_order__le__less__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X7))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_order__le__less__trans) ).
fof(fact_521_psubset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X76),X195))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_521_psubset__trans) ).
fof(fact_101_order__less__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X7))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_order__less__trans) ).
fof(fact_326_xt1_I7_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X7),X5))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_xt1_I7_J) ).
fof(fact_336_xt1_I8_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X4))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X5))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_xt1_I8_J) ).
fof(fact_97_xt1_I10_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X5))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_xt1_I10_J) ).
fof(fact_472_set__rev__mp,axiom,
! [X76,X4,X71] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_472_set__rev__mp) ).
fof(fact_481_in__mono,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_481_in__mono) ).
fof(fact_464_set__mp,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_464_set__mp) ).
fof(fact_439_subsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X71))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_439_subsetD) ).
fof(fact_513_psubsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X71))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_513_psubsetD) ).
fof(fact_462_subset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X195))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_462_subset__trans) ).
fof(fact_239_order__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X7))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_order__trans) ).
fof(fact_233_xt1_I6_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X5))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_xt1_I6_J) ).
fof(fact_455_psubset__subset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X195))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_455_psubset__subset__trans) ).
fof(fact_320_order__less__le__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X7))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_order__less__le__trans) ).
fof(fact_458_subset__psubset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X76),X195))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_458_subset__psubset__trans) ).
fof(fact_330_order__le__less__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X7))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_order__le__less__trans) ).
fof(fact_520_psubset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X76),X195))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_520_psubset__trans) ).
fof(fact_100_order__less__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X7))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_order__less__trans) ).
fof(fact_325_xt1_I7_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X5))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_xt1_I7_J) ).
fof(fact_335_xt1_I8_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X5))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_xt1_I8_J) ).
fof(fact_96_xt1_I10_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X5))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_xt1_I10_J) ).
fof(fact_474_set__rev__mp,axiom,
! [X76,X4,X71] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_474_set__rev__mp) ).
fof(fact_483_in__mono,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_483_in__mono) ).
fof(fact_466_set__mp,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_466_set__mp) ).
fof(fact_441_subsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X71))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_441_subsetD) ).
fof(fact_515_psubsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X71))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_515_psubsetD) ).
fof(fact_471_set__rev__mp,axiom,
! [X76,X4,X71] :
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
=> ( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_471_set__rev__mp) ).
fof(fact_512_psubsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X71),X76))
=> ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_512_psubsetD) ).
fof(fact_480_in__mono,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
=> ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_480_in__mono) ).
fof(fact_463_set__mp,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
=> ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_463_set__mp) ).
fof(fact_438_subsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X71),X76))
=> ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X71))
=> hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_438_subsetD) ).
fof(fact_457_psubset__subset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X76),X195))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_457_psubset__subset__trans) ).
fof(fact_322_order__less__le__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X7))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_order__less__le__trans) ).
fof(fact_460_subset__psubset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X76),X195))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_460_subset__psubset__trans) ).
fof(fact_332_order__le__less__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X7))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_order__le__less__trans) ).
fof(fact_522_psubset__trans,axiom,
! [X195,X71,X76] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X76),X195))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X195)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_522_psubset__trans) ).
fof(fact_102_order__less__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X7))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_order__less__trans) ).
fof(fact_327_xt1_I7_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X7),X5))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_xt1_I7_J) ).
fof(fact_337_xt1_I8_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X4))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X5))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_xt1_I8_J) ).
fof(fact_98_xt1_I10_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X5))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_xt1_I10_J) ).
fof(fact_473_set__rev__mp,axiom,
! [X76,X4,X71] :
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
=> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_473_set__rev__mp) ).
fof(fact_482_in__mono,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_482_in__mono) ).
fof(fact_465_set__mp,axiom,
! [X4,X71,X76] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_465_set__mp) ).
fof(fact_440_subsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X71))
=> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_440_subsetD) ).
fof(fact_514_psubsetD,axiom,
! [X15,X71,X76] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X71))
=> hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X15),X76)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_514_psubsetD) ).
fof(fact_542_le__trans,axiom,
! [X198,X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X208))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X208),X198))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X207),X198)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_542_le__trans) ).
fof(fact_238_order__trans,axiom,
! [X87,X88,X89] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X88),X89))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X89),X87))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X88),X87)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_order__trans) ).
fof(fact_232_xt1_I6_J,axiom,
! [X82,X83,X84] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X83),X84))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X82),X83))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X82),X84)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_xt1_I6_J) ).
fof(fact_323_order__less__le__trans,axiom,
! [X128,X129,X130] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X129),X130))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X130),X128))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X129),X128)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_order__less__le__trans) ).
fof(fact_333_order__le__less__trans,axiom,
! [X134,X135,X136] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X135),X136))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X136),X134))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X135),X134)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_333_order__le__less__trans) ).
fof(fact_103_order__less__trans,axiom,
! [X37,X38,X39] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X38),X39))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X39),X37))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X38),X37)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_order__less__trans) ).
fof(fact_328_xt1_I7_J,axiom,
! [X131,X132,X133] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X132),X133))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X131),X132))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X131),X133)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_xt1_I7_J) ).
fof(fact_338_xt1_I8_J,axiom,
! [X137,X138,X139] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X138),X139))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X137),X138))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X137),X139)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_xt1_I8_J) ).
fof(fact_99_xt1_I10_J,axiom,
! [X34,X35,X36] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X35),X36))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X35))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X36)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_xt1_I10_J) ).
fof(fact_237_order__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X7))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_order__trans) ).
fof(fact_231_xt1_I6_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X5))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_xt1_I6_J) ).
fof(fact_324_order__less__le__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X7))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_order__less__le__trans) ).
fof(fact_334_order__le__less__trans,axiom,
! [X7,X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X5),X7))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_order__le__less__trans) ).
fof(fact_329_xt1_I7_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X5),X4))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X7),X5))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_xt1_I7_J) ).
fof(fact_339_xt1_I8_J,axiom,
! [X7,X5,X4] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X5))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X7),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_339_xt1_I8_J) ).
fof(fact_658_le__less__Suc__eq,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200)))
<=> X26 = X200 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_658_le__less__Suc__eq) ).
fof(fact_553_less__add__eq__less,axiom,
! [X197,X199,X198,X210] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X198),X210))
=> ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X210) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X198),X199)
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_553_less__add__eq__less) ).
fof(fact_607_finite__nat__set__iff__bounded__le,axiom,
! [X209] :
( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209))
<=> ? [X29] :
! [X24] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X24),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_607_finite__nat__set__iff__bounded__le) ).
fof(fact_608_finite__nat__set__iff__bounded,axiom,
! [X209] :
( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209))
<=> ? [X29] :
! [X24] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_608_finite__nat__set__iff__bounded) ).
fof(fact_610_bounded__nat__set__is__finite,axiom,
! [X26,X209] :
( ! [X24] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X209))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X26)) )
=> hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X209)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_610_bounded__nat__set__is__finite) ).
fof(fact_545_inj__on__add__nat,axiom,
! [X206,X209] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X206)),X209)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_545_inj__on__add__nat) ).
fof(fact_689_Suc__le__D,axiom,
! [X199,X222] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X199)),X222))
=> ? [X29] : X222 = hAPP_nat_nat(suc,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_689_Suc__le__D) ).
fof(fact_651_Suc__lessI,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> ( hAPP_nat_nat(suc,X197) != X199
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X197)),X199)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_651_Suc__lessI) ).
fof(fact_536_nat__add__assoc,axiom,
! [X197,X199,X198] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),X198) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X198)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_536_nat__add__assoc) ).
fof(fact_420_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
! [X160,X161,X162] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X160),X161)),X162) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X160),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X161),X162)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_420_ab__semigroup__add__class_Oadd__ac_I1_J) ).
fof(fact_659_Suc__leI,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X197)),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_659_Suc__leI) ).
fof(fact_633_le__Suc__eq,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(suc,X26)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
| X200 = hAPP_nat_nat(suc,X26) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_633_le__Suc__eq) ).
fof(fact_90_const__Lin__Prof,axiom,
! [X6] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X6)),arrow_583275979e_Prof)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_const__Lin__Prof) ).
fof(fact_646_less__Suc__eq,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
| X200 = X26 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_646_less__Suc__eq) ).
fof(fact_662_less__Suc__eq__le,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),hAPP_nat_nat(suc,X26)))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_662_less__Suc__eq__le) ).
fof(fact_380_dictator__def,axiom,
! [X23,X75] :
( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X23),X75))
<=> ! [X24] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X24),arrow_583275979e_Prof))
=> hAPP_f1817389232t_bool(X23,X24) = hAPP_A340536322t_bool(X24,X75) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_380_dictator__def) ).
fof(fact_690_lessE,axiom,
! [X207,X198] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X198))
=> ( X198 != hAPP_nat_nat(suc,X207)
=> ~ ! [X213] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X213))
=> X198 != hAPP_nat_nat(suc,X213) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_690_lessE) ).
fof(fact_386_inv__into__f__f,axiom,
! [X4,X74,X71] :
( is_Arr859726945e_indi(X4)
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> hAPP_n619554777e_indi(hilber951314860di_nat(X71,X74),hAPP_A1895296483di_nat(X74,X4)) = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_386_inv__into__f__f) ).
fof(fact_388_inv__into__f__eq,axiom,
! [X5,X4,X74,X71] :
( is_Arr859726945e_indi(X4)
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
=> ( hAPP_A1895296483di_nat(X74,X4) = X5
=> hAPP_n619554777e_indi(hilber951314860di_nat(X71,X74),X5) = X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_388_inv__into__f__eq) ).
fof(fact_685_less__imp__Suc__add,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> ? [X211] : X199 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X211)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_685_less__imp__Suc__add) ).
fof(fact_664_less__iff__Suc__add,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
<=> ? [X211] : X26 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X211)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_664_less__iff__Suc__add) ).
fof(fact_385_inv__into__f__f,axiom,
! [X4,X74,X71] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
=> hAPP_nat_nat(hilber195283148at_nat(X71,X74),hAPP_nat_nat(X74,X4)) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_385_inv__into__f__f) ).
fof(fact_387_inv__into__f__eq,axiom,
! [X5,X4,X74,X71] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
=> ( hAPP_nat_nat(X74,X4) = X5
=> hAPP_nat_nat(hilber195283148at_nat(X71,X74),X5) = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_387_inv__into__f__eq) ).
fof(fact_262_order__eq__iff,axiom,
! [X5,X4] :
( ( hBOOL(X4)
<=> hBOOL(X5) )
<=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
& hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_order__eq__iff) ).
fof(fact_255_order__antisym__conv,axiom,
! [X5,X4] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
<=> ( hBOOL(X4)
<=> hBOOL(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_order__antisym__conv) ).
fof(fact_240_order__antisym,axiom,
! [X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
=> ( hBOOL(X4)
<=> hBOOL(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_order__antisym) ).
fof(fact_234_xt1_I5_J,axiom,
! [X5,X4] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
=> ( hBOOL(X4)
<=> hBOOL(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_xt1_I5_J) ).
fof(fact_393_inj__imp__inv__eq,axiom,
! [X81,X74] :
( is_fun1084921220e_indi(X81)
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
=> ( ! [X24] : hAPP_A1895296483di_nat(X74,hAPP_n619554777e_indi(X81,X24)) = X24
=> hilber951314860di_nat(top_to207207712i_bool,X74) = X81 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_393_inj__imp__inv__eq) ).
fof(fact_129_order__less__imp__triv,axiom,
! [X9,X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4))
=> hBOOL(X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_order__less__imp__triv) ).
fof(fact_128_order__less__imp__triv,axiom,
! [X9,X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4))
=> hBOOL(X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_order__less__imp__triv) ).
fof(fact_130_order__less__imp__triv,axiom,
! [X9,X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4))
=> hBOOL(X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_order__less__imp__triv) ).
fof(fact_131_order__less__imp__triv,axiom,
! [X9,X4,X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
=> hBOOL(X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_order__less__imp__triv) ).
fof(fact_392_inj__imp__inv__eq,axiom,
! [X81,X74] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
=> ( ! [X24] : hAPP_nat_nat(X74,hAPP_nat_nat(X81,X24)) = X24
=> hilber195283148at_nat(top_top_fun_nat_bool,X74) = X81 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_392_inj__imp__inv__eq) ).
fof(fact_491_set__eq__subset,axiom,
! [X71,X76] :
( X71 = X76
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
& hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_491_set__eq__subset) ).
fof(fact_437_equalityI,axiom,
! [X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71))
=> X71 = X76 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_437_equalityI) ).
fof(fact_264_order__eq__iff,axiom,
! [X4,X5] :
( X4 = X5
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
& hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_order__eq__iff) ).
fof(fact_257_order__antisym__conv,axiom,
! [X5,X4] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
<=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_order__antisym__conv) ).
fof(fact_242_order__antisym,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_order__antisym) ).
fof(fact_236_xt1_I5_J,axiom,
! [X5,X4] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_xt1_I5_J) ).
fof(fact_543_le__antisym,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X197))
=> X197 = X199 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_543_le__antisym) ).
fof(fact_263_order__eq__iff,axiom,
! [X4,X5] :
( X4 = X5
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
& hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_order__eq__iff) ).
fof(fact_256_order__antisym__conv,axiom,
! [X5,X4] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
<=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_order__antisym__conv) ).
fof(fact_241_order__antisym,axiom,
! [X90,X91] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X90),X91))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X91),X90))
=> X90 = X91 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_order__antisym) ).
fof(fact_235_xt1_I5_J,axiom,
! [X85,X86] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X85),X86))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X86),X85))
=> X86 = X85 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_235_xt1_I5_J) ).
fof(fact_627_less__imp__add__positive,axiom,
! [X207,X208] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X207),X208))
=> ? [X211] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X211))
& hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X211) = X208 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_627_less__imp__add__positive) ).
fof(fact_635_le__SucI,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),hAPP_nat_nat(suc,X199))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_635_le__SucI) ).
fof(fact_660_le__imp__less__Suc,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_660_le__imp__less__Suc) ).
fof(fact_650_less__SucI,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_650_less__SucI) ).
fof(fact_533_nat__less__cases,axiom,
! [X9,X200,X26] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
=> ( ( X200 = X26
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) )
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X9,X26),X200)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_533_nat__less__cases) ).
fof(fact_413_subset__inj__on,axiom,
! [X71,X74,X76] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X76))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_413_subset__inj__on) ).
fof(fact_414_subset__inj__on,axiom,
! [X71,X74,X76] :
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X76))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
=> hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_414_subset__inj__on) ).
fof(fact_591_inj__onI,axiom,
! [X74,X71] :
( ! [X24,X149] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X24),X71))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X149),X71))
=> ( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X149)
=> X24 = X149 ) ) )
=> hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),X71)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_591_inj__onI) ).
fof(fact_592_inj__onI,axiom,
! [X74,X71] :
( ! [X24,X149] :
( ( is_Arr859726945e_indi(X24)
& is_Arr859726945e_indi(X149) )
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X24),X71))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X149),X71))
=> ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X149)
=> X24 = X149 ) ) ) )
=> hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),X71)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_592_inj__onI) ).
fof(fact_561_le__add1,axiom,
! [X199,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X197))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_561_le__add1) ).
fof(fact_560_le__add2,axiom,
! [X199,X197] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_560_le__add2) ).
fof(fact_535_nat__add__left__commute,axiom,
! [X201,X202,X205] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),X205)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X202),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X201),X205)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_535_nat__add__left__commute) ).
fof(fact_394_less__add__one,axiom,
! [X140] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X140),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X140),one_one_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_394_less__add__one) ).
fof(fact_450_subset__iff__psubset__eq,axiom,
! [X71,X76] :
( ( is_fun1568535512t_bool(X71)
& is_fun1568535512t_bool(X76) )
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
<=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
| X71 = X76 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_450_subset__iff__psubset__eq) ).
fof(fact_447_psubset__eq,axiom,
! [X71,X76] :
( ( is_fun1568535512t_bool(X71)
& is_fun1568535512t_bool(X76) )
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
<=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76))
& X71 != X76 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_447_psubset__eq) ).
fof(fact_316_xt1_I11_J,axiom,
! [X13,X12] :
( ( is_fun1568535512t_bool(X13)
& is_fun1568535512t_bool(X12) )
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X13),X12))
=> ( X12 != X13
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_xt1_I11_J) ).
fof(fact_310_order__le__neq__trans,axiom,
! [X12,X13] :
( ( is_fun1568535512t_bool(X12)
& is_fun1568535512t_bool(X13) )
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),X13))
=> ( X12 != X13
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_order__le__neq__trans) ).
fof(fact_305_order__le__imp__less__or__eq,axiom,
! [X4,X5] :
( ( is_fun1568535512t_bool(X4)
& is_fun1568535512t_bool(X5) )
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
| X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_order__le__imp__less__or__eq) ).
fof(fact_288_order__neq__le__trans,axiom,
! [X12,X13] :
( ( is_fun1568535512t_bool(X12)
& is_fun1568535512t_bool(X13) )
=> ( X12 != X13
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),X13))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_order__neq__le__trans) ).
fof(fact_280_order__le__less,axiom,
! [X4,X5] :
( ( is_fun1568535512t_bool(X4)
& is_fun1568535512t_bool(X5) )
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
<=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
| X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_order__le__less) ).
fof(fact_270_order__less__le,axiom,
! [X4,X5] :
( ( is_fun1568535512t_bool(X4)
& is_fun1568535512t_bool(X5) )
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
<=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
& X4 != X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_order__less__le) ).
fof(fact_293_xt1_I12_J,axiom,
! [X12,X13] :
( ( is_fun1568535512t_bool(X12)
& is_fun1568535512t_bool(X13) )
=> ( X12 != X13
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X13),X12))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_xt1_I12_J) ).
fof(fact_451_subset__iff__psubset__eq,axiom,
! [X71,X76] :
( ( is_fun2015243113i_bool(X71)
& is_fun2015243113i_bool(X76) )
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
<=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
| X71 = X76 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_451_subset__iff__psubset__eq) ).
fof(fact_448_psubset__eq,axiom,
! [X71,X76] :
( ( is_fun2015243113i_bool(X71)
& is_fun2015243113i_bool(X76) )
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
<=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76))
& X71 != X76 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_448_psubset__eq) ).
fof(fact_317_xt1_I11_J,axiom,
! [X13,X12] :
( ( is_fun2015243113i_bool(X13)
& is_fun2015243113i_bool(X12) )
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X13),X12))
=> ( X12 != X13
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_xt1_I11_J) ).
fof(fact_311_order__le__neq__trans,axiom,
! [X12,X13] :
( ( is_fun2015243113i_bool(X12)
& is_fun2015243113i_bool(X13) )
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),X13))
=> ( X12 != X13
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_order__le__neq__trans) ).
fof(fact_306_order__le__imp__less__or__eq,axiom,
! [X4,X5] :
( ( is_fun2015243113i_bool(X4)
& is_fun2015243113i_bool(X5) )
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
| X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_order__le__imp__less__or__eq) ).
fof(fact_289_order__neq__le__trans,axiom,
! [X12,X13] :
( ( is_fun2015243113i_bool(X12)
& is_fun2015243113i_bool(X13) )
=> ( X12 != X13
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),X13))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_order__neq__le__trans) ).
fof(fact_281_order__le__less,axiom,
! [X4,X5] :
( ( is_fun2015243113i_bool(X4)
& is_fun2015243113i_bool(X5) )
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
<=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
| X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_order__le__less) ).
fof(fact_271_order__less__le,axiom,
! [X4,X5] :
( ( is_fun2015243113i_bool(X4)
& is_fun2015243113i_bool(X5) )
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
<=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
& X4 != X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_order__less__le) ).
fof(fact_294_xt1_I12_J,axiom,
! [X12,X13] :
( ( is_fun2015243113i_bool(X12)
& is_fun2015243113i_bool(X13) )
=> ( X12 != X13
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X13),X12))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_xt1_I12_J) ).
fof(fact_252_ord__eq__le__trans,axiom,
! [X15,X13,X12] :
( ( hBOOL(X12)
<=> hBOOL(X13) )
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X15))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X15)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_ord__eq__le__trans) ).
fof(fact_243_xt1_I4_J,axiom,
! [X15,X13,X12] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
=> ( ( hBOOL(X13)
<=> hBOOL(X15) )
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_243_xt1_I4_J) ).
fof(fact_249_xt1_I3_J,axiom,
! [X15,X13,X12] :
( ( hBOOL(X12)
<=> hBOOL(X13) )
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X13))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X15),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_249_xt1_I3_J) ).
fof(fact_246_ord__le__eq__trans,axiom,
! [X15,X12,X13] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
=> ( ( hBOOL(X13)
<=> hBOOL(X15) )
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X15)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_246_ord__le__eq__trans) ).
fof(fact_319_xt1_I11_J,axiom,
! [X13,X12] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
=> ( ~ ( hBOOL(X12)
<=> hBOOL(X13) )
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_xt1_I11_J) ).
fof(fact_312_order__le__neq__trans,axiom,
! [X12,X13] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
=> ( ~ ( hBOOL(X12)
<=> hBOOL(X13) )
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_order__le__neq__trans) ).
fof(fact_307_order__le__imp__less__or__eq,axiom,
! [X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
| ( hBOOL(X4)
<=> hBOOL(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_order__le__imp__less__or__eq) ).
fof(fact_295_xt1_I12_J,axiom,
! [X13,X12] :
( ~ ( hBOOL(X12)
<=> hBOOL(X13) )
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),X12))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X13),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_xt1_I12_J) ).
fof(fact_290_order__neq__le__trans,axiom,
! [X13,X12] :
( ~ ( hBOOL(X12)
<=> hBOOL(X13) )
=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),X13))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_order__neq__le__trans) ).
fof(fact_282_order__le__less,axiom,
! [X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
<=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
| ( hBOOL(X4)
<=> hBOOL(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_order__le__less) ).
fof(fact_272_order__less__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
<=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
& ~ ( hBOOL(X4)
<=> hBOOL(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_order__less__le) ).
fof(fact_449_subset__iff__psubset__eq,axiom,
! [X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
| X71 = X76 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_449_subset__iff__psubset__eq) ).
fof(fact_446_psubset__eq,axiom,
! [X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
& X71 != X76 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_446_psubset__eq) ).
fof(fact_315_xt1_I11_J,axiom,
! [X13,X12] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X12))
=> ( X12 != X13
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_xt1_I11_J) ).
fof(fact_313_order__le__neq__trans,axiom,
! [X12,X13] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X13))
=> ( X12 != X13
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_order__le__neq__trans) ).
fof(fact_308_order__le__imp__less__or__eq,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_order__le__imp__less__or__eq) ).
fof(fact_291_order__neq__le__trans,axiom,
! [X12,X13] :
( X12 != X13
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X13))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_order__neq__le__trans) ).
fof(fact_283_order__le__less,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_order__le__less) ).
fof(fact_273_order__less__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
& X4 != X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_order__less__le) ).
fof(fact_296_xt1_I12_J,axiom,
! [X12,X13] :
( X12 != X13
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X13),X12))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_xt1_I12_J) ).
fof(fact_558_le__neq__implies__less,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
=> ( X197 != X199
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_558_le__neq__implies__less) ).
fof(fact_556_le__eq__less__or__eq,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
| X200 = X26 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_556_le__eq__less__or__eq) ).
fof(fact_555_nat__less__le,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
& X200 != X26 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_555_nat__less__le) ).
fof(fact_318_xt1_I11_J,axiom,
! [X126,X127] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X126),X127))
=> ( X127 != X126
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X126),X127)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_xt1_I11_J) ).
fof(fact_314_order__le__neq__trans,axiom,
! [X124,X125] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X124),X125))
=> ( X124 != X125
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X124),X125)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_order__le__neq__trans) ).
fof(fact_309_order__le__imp__less__or__eq,axiom,
! [X122,X123] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X122),X123))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X122),X123))
| X122 = X123 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_order__le__imp__less__or__eq) ).
fof(fact_292_order__neq__le__trans,axiom,
! [X114,X115] :
( X114 != X115
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X114),X115))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X114),X115)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_order__neq__le__trans) ).
fof(fact_284_order__le__less,axiom,
! [X4,X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_order__le__less) ).
fof(fact_274_order__less__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
& X4 != X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_order__less__le) ).
fof(fact_297_xt1_I12_J,axiom,
! [X116,X117] :
( X116 != X117
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X117),X116))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X117),X116)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_xt1_I12_J) ).
fof(fact_479_predicate1D,axiom,
! [X4,X9,X196] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X196))
=> ( hBOOL(hAPP_nat_bool(X9,X4))
=> hBOOL(hAPP_nat_bool(X196,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_479_predicate1D) ).
fof(fact_490_rev__predicate1D,axiom,
! [X196,X9,X4] :
( hBOOL(hAPP_nat_bool(X9,X4))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X196))
=> hBOOL(hAPP_nat_bool(X196,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_490_rev__predicate1D) ).
fof(fact_453_psubset__imp__subset,axiom,
! [X71,X76] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X71),X76))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_453_psubset__imp__subset) ).
fof(fact_299_order__less__imp__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_order__less__imp__le) ).
fof(fact_452_psubset__imp__subset,axiom,
! [X71,X76] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X71),X76))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_452_psubset__imp__subset) ).
fof(fact_302_order__less__imp__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_order__less__imp__le) ).
fof(fact_454_psubset__imp__subset,axiom,
! [X71,X76] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X71),X76))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_454_psubset__imp__subset) ).
fof(fact_300_order__less__imp__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_order__less__imp__le) ).
fof(fact_574_termination__basic__simps_I5_J,axiom,
! [X201,X202] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_574_termination__basic__simps_I5_J) ).
fof(fact_559_less__or__eq__imp__le,axiom,
! [X197,X199] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
| X197 = X199 )
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_559_less__or__eq__imp__le) ).
fof(fact_557_less__imp__le__nat,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_557_less__imp__le__nat) ).
fof(fact_303_order__less__imp__le,axiom,
! [X120,X121] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X120),X121))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X120),X121)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_order__less__imp__le) ).
fof(fact_301_order__less__imp__le,axiom,
! [X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_order__less__imp__le) ).
fof(fact_562_le__iff__add,axiom,
! [X200,X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
<=> ? [X211] : X26 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X211) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_562_le__iff__add) ).
fof(fact_670_less__Suc0,axiom,
! [X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,zero_zero_nat)))
<=> X26 = zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_670_less__Suc0) ).
fof(fact_694_zero__induct,axiom,
! [X9,X206] :
( hBOOL(hAPP_nat_bool(X9,X206))
=> ( ! [X78] :
( hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(suc,X78)))
=> hBOOL(hAPP_nat_bool(X9,X78)) )
=> hBOOL(hAPP_nat_bool(X9,zero_zero_nat)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_694_zero__induct) ).
fof(fact_643_add__Suc,axiom,
! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X197)),X199) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_643_add__Suc) ).
fof(fact_528_nat__neq__iff,axiom,
! [X200,X26] :
( X200 != X26
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_528_nat__neq__iff) ).
fof(fact_156_linorder__neq__iff,axiom,
! [X4,X5] :
( X4 != X5
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_linorder__neq__iff) ).
fof(fact_154_linorder__less__linear,axiom,
! [X68,X69] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X68),X69))
| X68 = X69
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X69),X68)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_linorder__less__linear) ).
fof(fact_540_nat__le__linear,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X197)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_540_nat__le__linear) ).
fof(fact_265_linorder__linear,axiom,
! [X106,X107] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X106),X107))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X107),X106)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_linorder__linear) ).
fof(fact_269_linorder__le__less__linear,axiom,
! [X108,X109] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X108),X109))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X109),X108)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_linorder__le__less__linear) ).
fof(fact_171_mem__def,axiom,
! [X4,X71] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71))
<=> hBOOL(hAPP_P1813625415t_bool(X71,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_mem__def) ).
fof(fact_174_mem__def,axiom,
! [X4,X71] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71))
<=> hBOOL(hAPP_f1733357041l_bool(X71,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_mem__def) ).
fof(fact_173_mem__def,axiom,
! [X4,X71] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71))
<=> hBOOL(hAPP_f446648900l_bool(X71,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_mem__def) ).
fof(fact_172_mem__def,axiom,
! [X4,X71] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71))
<=> hBOOL(hAPP_f1378099862l_bool(X71,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_mem__def) ).
fof(fact_170_mem__def,axiom,
! [X4,X71] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71))
<=> hBOOL(hAPP_P1676879539t_bool(X71,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_mem__def) ).
fof(fact_175_mem__def,axiom,
! [X4,X71] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71))
<=> hBOOL(hAPP_nat_bool(X71,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_mem__def) ).
fof(fact_169_mem__def,axiom,
! [X4,X71] :
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71))
<=> hBOOL(hAPP_bool_bool(X71,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_mem__def) ).
fof(fact_168_mem__def,axiom,
! [X4,X71] :
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71))
<=> hBOOL(hAPP_A416869060i_bool(X71,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_mem__def) ).
fof(fact_22_Pair__eq,axiom,
! [X12,X13,X10,X11] :
( ( is_Arr723427730le_alt(X12)
& is_Arr723427730le_alt(X13)
& is_Arr723427730le_alt(X10)
& is_Arr723427730le_alt(X11) )
=> ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X11)
<=> ( X12 = X10
& X13 = X11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_Pair__eq) ).
fof(fact_21_Pair__inject,axiom,
! [X19,X20,X21,X22] :
( ( is_Arr723427730le_alt(X19)
& is_Arr723427730le_alt(X20)
& is_Arr723427730le_alt(X21)
& is_Arr723427730le_alt(X22) )
=> ( hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X19),X20) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X21),X22)
=> ~ ( X19 = X21
=> X20 != X22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_Pair__inject) ).
fof(fact_644_add__Suc__right,axiom,
! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(suc,X199)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_644_add__Suc__right) ).
fof(fact_642_add__Suc__shift,axiom,
! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X197)),X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),hAPP_nat_nat(suc,X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_642_add__Suc__shift) ).
fof(fact_186_inv__f__f,axiom,
! [X4,X74] :
( is_Arr859726945e_indi(X4)
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
=> hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X74),hAPP_A1895296483di_nat(X74,X4)) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_inv__f__f) ).
fof(gsy_c_FunDef_Oin__rel_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000,axiom,
! [X1,X2,X3] :
( ( is_fun20916972t_bool(X1)
& is_Arr723427730le_alt(X2)
& is_Arr723427730le_alt(X3) )
=> is_bool(in_rel1361124802le_alt(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_FunDef_Oin__rel_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000) ).
fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Obelow,axiom,
! [X1,X2,X3] :
( ( is_fun20916972t_bool(X1)
& is_Arr723427730le_alt(X2)
& is_Arr723427730le_alt(X3) )
=> is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Obelow) ).
fof(fact_184_inv__f__eq,axiom,
! [X4,X5,X74] :
( is_Arr859726945e_indi(X4)
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
=> ( hAPP_A1895296483di_nat(X74,X4) = X5
=> hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X74),X5) = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_inv__f__eq) ).
fof(fact_686_gr0__implies__Suc,axiom,
! [X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X199))
=> ? [X29] : X199 = hAPP_nat_nat(suc,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_686_gr0__implies__Suc) ).
fof(fact_669_gr0__conv__Suc,axiom,
! [X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26))
<=> ? [X29] : X26 = hAPP_nat_nat(suc,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_669_gr0__conv__Suc) ).
fof(fact_66_less__top,axiom,
! [X12] :
( ~ ( hBOOL(X12)
<=> hBOOL(top_top_bool) )
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X12),top_top_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_less__top) ).
fof(fact_187_inv__f__f,axiom,
! [X4,X74] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
=> hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X74),hAPP_nat_nat(X74,X4)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_inv__f__f) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_052,axiom,
! [X226,X227,X228] : hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X226),X227),X228) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_052) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t_047,axiom,
! [X226,X227,X228] : hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X226),X227),X228) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t_047) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_048,axiom,
! [X226,X227,X228] : hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X226),X227),X228) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_048) ).
fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__Nat__Onat_U,axiom,
! [X226,X227,X228] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X226),X227),X228) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__Nat__Onat_U) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_,axiom,
! [X226,X227,X228] : hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X226),X227),X228) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy,axiom,
! [X226,X227,X228] : hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X226),X227),X228) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl,axiom,
! [X226,X227,X228] : hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X226),X227),X228) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__,axiom,
! [X226,X227,X228] : hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X226),X227),X228) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) ).
fof(help_COMBC_1_1_COMBC_000tc__Product____Type__Ounit_000tc__fun_Itc__Product____Ty,axiom,
! [X226,X227,X228] : hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X226),X227),X228) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Product____Type__Ounit_000tc__fun_Itc__Product____Ty) ).
fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
! [X226,X227,X228] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X226),X227),X228) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).
fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U,axiom,
! [X226,X227,X228] : hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X226),X227),X228) = hAPP_nat_bool(hAPP_n1699378549t_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U) ).
fof(help_COMBC_1_1_COMBC_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
! [X226,X227,X228] : hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X226),X227),X228) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_049,axiom,
! [X226,X227,X228] : hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X226),X227),X228) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_049) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_046,axiom,
! [X226,X227,X228] : hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X226),X227),X228) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_046) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_044,axiom,
! [X226,X227,X228] : hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X226),X227),X228) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_044) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000,axiom,
! [X226,X227,X228] : hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X226),X227),X228) = hAPP_nat_bool(hAPP_A1948275303t_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t,axiom,
! [X226,X227,X228] : hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X226),X227),X228) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X226,X228),X227),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t) ).
fof(fact_67_less__top,axiom,
! [X12] :
( is_fun20916972t_bool(X12)
=> ( X12 != top_to1773227171t_bool
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X12),top_to1773227171t_bool)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_less__top) ).
fof(fact_63_less__top,axiom,
! [X12] :
( is_fun1420103068l_bool(X12)
=> ( X12 != top_to846262053l_bool
<=> hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X12),top_to846262053l_bool)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_less__top) ).
fof(fact_65_less__top,axiom,
! [X12] :
( is_fun292781289l_bool(X12)
=> ( X12 != top_to1849101472l_bool
<=> hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X12),top_to1849101472l_bool)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_less__top) ).
fof(fact_64_less__top,axiom,
! [X12] :
( is_fun701126715l_bool(X12)
=> ( X12 != top_to935749874l_bool
<=> hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X12),top_to935749874l_bool)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_less__top) ).
fof(fact_69_less__top,axiom,
! [X12] :
( is_fun1568535512t_bool(X12)
=> ( X12 != top_to1257323279t_bool
<=> hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),top_to1257323279t_bool)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_less__top) ).
fof(fact_68_less__top,axiom,
! [X12] :
( is_fun2015243113i_bool(X12)
=> ( X12 != top_to207207712i_bool
<=> hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),top_to207207712i_bool)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_less__top) ).
fof(fact_185_inv__f__eq,axiom,
! [X4,X5,X74] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
=> ( hAPP_nat_nat(X74,X4) = X5
=> hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X74),X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_inv__f__eq) ).
fof(fact_149_less__imp__neq,axiom,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> X4 != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_less__imp__neq) ).
fof(fact_137_order__less__imp__not__eq,axiom,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> X4 != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_order__less__imp__not__eq) ).
fof(fact_133_order__less__imp__not__eq2,axiom,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> X5 != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_order__less__imp__not__eq2) ).
fof(fact_148_less__imp__neq,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> X4 != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_less__imp__neq) ).
fof(fact_136_order__less__imp__not__eq,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> X4 != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_order__less__imp__not__eq) ).
fof(fact_132_order__less__imp__not__eq2,axiom,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> X5 != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_order__less__imp__not__eq2) ).
fof(fact_150_less__imp__neq,axiom,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> X4 != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_less__imp__neq) ).
fof(fact_138_order__less__imp__not__eq,axiom,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> X4 != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_order__less__imp__not__eq) ).
fof(fact_134_order__less__imp__not__eq2,axiom,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> X5 != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_order__less__imp__not__eq2) ).
fof(fact_532_less__not__refl3,axiom,
! [X203,X204] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X203),X204))
=> X203 != X204 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_532_less__not__refl3) ).
fof(fact_531_less__not__refl2,axiom,
! [X199,X197] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X197))
=> X197 != X199 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_531_less__not__refl2) ).
fof(fact_151_less__imp__neq,axiom,
! [X64,X65] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X64),X65))
=> X64 != X65 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_less__imp__neq) ).
fof(fact_139_order__less__imp__not__eq,axiom,
! [X58,X59] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X59))
=> X58 != X59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_order__less__imp__not__eq) ).
fof(fact_135_order__less__imp__not__eq2,axiom,
! [X56,X57] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X56),X57))
=> X57 != X56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_order__less__imp__not__eq2) ).
fof(fact_384_injD,axiom,
! [X4,X5,X74] :
( ( is_Arr859726945e_indi(X4)
& is_Arr859726945e_indi(X5) )
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
=> ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
=> X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_384_injD) ).
fof(fact_382_inj__eq,axiom,
! [X4,X5,X74] :
( ( is_Arr859726945e_indi(X4)
& is_Arr859726945e_indi(X5) )
=> ( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool))
=> ( hAPP_A1895296483di_nat(X74,X4) = hAPP_A1895296483di_nat(X74,X5)
<=> X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_382_inj__eq) ).
fof(fact_614_gr__implies__not0,axiom,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> X199 != zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_614_gr__implies__not0) ).
fof(fact_628_lessI,axiom,
! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),hAPP_nat_nat(suc,X199))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_628_lessI) ).
fof(fact_356_top__le,axiom,
! [X12] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X12))
=> ( hBOOL(X12)
<=> hBOOL(top_top_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_356_top__le) ).
fof(fact_348_top__unique,axiom,
! [X12] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X12))
<=> ( hBOOL(X12)
<=> hBOOL(top_top_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_top__unique) ).
fof(fact_360_top__le,axiom,
! [X12] :
( is_fun20916972t_bool(X12)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X12))
=> X12 = top_to1773227171t_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_360_top__le) ).
fof(fact_352_top__unique,axiom,
! [X12] :
( is_fun20916972t_bool(X12)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X12))
<=> X12 = top_to1773227171t_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_top__unique) ).
fof(fact_357_top__le,axiom,
! [X12] :
( is_fun1420103068l_bool(X12)
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X12))
=> X12 = top_to846262053l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_357_top__le) ).
fof(fact_349_top__unique,axiom,
! [X12] :
( is_fun1420103068l_bool(X12)
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X12))
<=> X12 = top_to846262053l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_top__unique) ).
fof(fact_358_top__le,axiom,
! [X12] :
( is_fun292781289l_bool(X12)
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X12))
=> X12 = top_to1849101472l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_358_top__le) ).
fof(fact_350_top__unique,axiom,
! [X12] :
( is_fun292781289l_bool(X12)
=> ( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X12))
<=> X12 = top_to1849101472l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_350_top__unique) ).
fof(fact_359_top__le,axiom,
! [X12] :
( is_fun701126715l_bool(X12)
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X12))
=> X12 = top_to935749874l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_359_top__le) ).
fof(fact_351_top__unique,axiom,
! [X12] :
( is_fun701126715l_bool(X12)
=> ( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X12))
<=> X12 = top_to935749874l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_top__unique) ).
fof(fact_362_top__le,axiom,
! [X12] :
( is_fun1568535512t_bool(X12)
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X12))
=> X12 = top_to1257323279t_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_362_top__le) ).
fof(fact_354_top__unique,axiom,
! [X12] :
( is_fun1568535512t_bool(X12)
=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X12))
<=> X12 = top_to1257323279t_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_354_top__unique) ).
fof(fact_363_top__le,axiom,
! [X12] :
( is_fun2015243113i_bool(X12)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X12))
=> X12 = top_to207207712i_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_363_top__le) ).
fof(fact_355_top__unique,axiom,
! [X12] :
( is_fun2015243113i_bool(X12)
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X12))
<=> X12 = top_to207207712i_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_355_top__unique) ).
fof(fact_538_nat__add__right__cancel,axiom,
! [X200,X206,X26] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X206) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X26),X206)
<=> X200 = X26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_538_nat__add__right__cancel) ).
fof(fact_418_add__right__cancel,axiom,
! [X13,X12,X15] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X13),X12) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X15),X12)
<=> X13 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_418_add__right__cancel) ).
fof(fact_415_add__right__imp__eq,axiom,
! [X151,X152,X153] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X151),X152) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X153),X152)
=> X151 = X153 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_415_add__right__imp__eq) ).
fof(fact_537_nat__add__left__cancel,axiom,
! [X206,X200,X26] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X200) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X206),X26)
<=> X200 = X26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_537_nat__add__left__cancel) ).
fof(fact_419_add__left__cancel,axiom,
! [X12,X13,X15] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X13) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X12),X15)
<=> X13 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_419_add__left__cancel) ).
fof(fact_417_add__left__imp__eq,axiom,
! [X157,X158,X159] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X157),X158) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X157),X159)
=> X158 = X159 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_417_add__left__imp__eq) ).
fof(fact_416_add__imp__eq,axiom,
! [X154,X155,X156] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X154),X155) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X154),X156)
=> X155 = X156 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_416_add__imp__eq) ).
fof(fact_70_less__top,axiom,
! [X12] :
( X12 != top_top_fun_nat_bool
<=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),top_top_fun_nat_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_less__top) ).
fof(fact_622_le__0__eq,axiom,
! [X26] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X26),zero_zero_nat))
<=> X26 = zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_622_le__0__eq) ).
fof(fact_630_zero__less__Suc,axiom,
! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X199))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_630_zero__less__Suc) ).
fof(fact_616_neq0__conv,axiom,
! [X26] :
( X26 != zero_zero_nat
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_616_neq0__conv) ).
fof(fact_361_top__le,axiom,
! [X12] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X12))
=> X12 = top_top_fun_nat_bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_361_top__le) ).
fof(fact_353_top__unique,axiom,
! [X12] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X12))
<=> X12 = top_top_fun_nat_bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_353_top__unique) ).
fof(fact_383_injD,axiom,
! [X4,X5,X74] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
=> ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_383_injD) ).
fof(fact_381_inj__eq,axiom,
! [X4,X5,X74] :
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool))
=> ( hAPP_nat_nat(X74,X4) = hAPP_nat_nat(X74,X5)
<=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_381_inj__eq) ).
fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_053,axiom,
! [X226,X227,X228] : hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X226,X227),X228) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X226,X228),hAPP_A340536322t_bool(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_053) ).
fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
! [X226,X227,X228] : hAPP_nat_bool(cOMBS_nat_bool_bool(X226,X227),X228) = hAPP_bool_bool(hAPP_n1006566506l_bool(X226,X228),hAPP_nat_bool(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U) ).
fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000,axiom,
! [X226,X227,X228] : hAPP_A340536322t_bool(cOMBS_178315313t_bool(X226,X227),X228) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X226,X228),hAPP_A340536322t_bool(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000) ).
fof(fact_697_finite__atLeastLessThan,axiom,
! [X224,X216] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X224),X216))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_697_finite__atLeastLessThan) ).
fof(fact_668_add__is__1,axiom,
! [X200,X26] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26) = hAPP_nat_nat(suc,zero_zero_nat)
<=> ( ( X200 = hAPP_nat_nat(suc,zero_zero_nat)
& X26 = zero_zero_nat )
| ( X200 = zero_zero_nat
& X26 = hAPP_nat_nat(suc,zero_zero_nat) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_668_add__is__1) ).
fof(fact_667_one__is__add,axiom,
! [X200,X26] :
( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26)
<=> ( ( X200 = hAPP_nat_nat(suc,zero_zero_nat)
& X26 = zero_zero_nat )
| ( X200 = zero_zero_nat
& X26 = hAPP_nat_nat(suc,zero_zero_nat) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_667_one__is__add) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_,axiom,
! [X226,X227,X228] : hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X226),X227),X228) = hAPP_b910261233t_bool(X226,hAPP_A416869060i_bool(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__,axiom,
! [X226,X227,X228] : hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X226),X227),X228) = hAPP_f1656652505l_bool(X226,hAPP_A1171966089le_alt(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_051,axiom,
! [X226,X227,X228] : hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X226),X227),X228) = hAPP_f684072049t_bool(X226,hAPP_A340536322t_bool(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_051) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___054,axiom,
! [X226,X227,X228] : hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X226),X227),X228) = hAPP_f372913425t_bool(X226,hAPP_A643475905l_bool(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___054) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy,axiom,
! [X226,X227,X228] : hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X226),X227),X228) = hAPP_f102394819t_bool(X226,hAPP_A340536322t_bool(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
! [X226,X227,X228] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X226),X227),X228) = hAPP_b589554111l_bool(X226,hAPP_nat_bool(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).
fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__043,axiom,
! [X226,X227,X228] : hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X226),X227),X228) = hAPP_n1699378549t_bool(X226,hAPP_A1895296483di_nat(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__043) ).
fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HO,axiom,
! [X226,X227,X228] : hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X226),X227),X228) = hAPP_n215258509l_bool(X226,hAPP_nat_nat(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HO) ).
fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
! [X226,X227,X228] : hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X226),X227),X228) = hAPP_n1699378549t_bool(X226,hAPP_nat_nat(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_,axiom,
! [X226,X227,X228] : hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X226),X227),X228) = hAPP_P1151433609l_bool(X226,hAPP_A1561816353le_alt(X227,X228)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_) ).
fof(fact_259_order__eq__refl,axiom,
! [X5,X4] :
( ( hBOOL(X4)
<=> hBOOL(X5) )
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_259_order__eq__refl) ).
fof(help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm,axiom,
! [X201,X202] :
( is_fun20916972t_bool(X201)
=> hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X201),X202) = X201 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm) ).
fof(help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm,axiom,
! [X201,X202] :
( is_fun20916972t_bool(X202)
=> hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X201),X202) = X202 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm) ).
fof(fact_397_injI,axiom,
! [X74] :
( ! [X24,X149] :
( hAPP_nat_nat(X74,X24) = hAPP_nat_nat(X74,X149)
=> X24 = X149 )
=> hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X74),top_top_fun_nat_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_397_injI) ).
fof(fact_398_injI,axiom,
! [X74] :
( ! [X24,X149] :
( ( is_Arr859726945e_indi(X24)
& is_Arr859726945e_indi(X149) )
=> ( hAPP_A1895296483di_nat(X74,X24) = hAPP_A1895296483di_nat(X74,X149)
=> X24 = X149 ) )
=> hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X74),top_to207207712i_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_398_injI) ).
fof(fact_489_equalityD1,axiom,
! [X71,X76] :
( X71 = X76
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_489_equalityD1) ).
fof(fact_261_order__eq__refl,axiom,
! [X4,X5] :
( X4 = X5
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_order__eq__refl) ).
fof(fact_488_equalityD2,axiom,
! [X71,X76] :
( X71 = X76
=> hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_488_equalityD2) ).
fof(fact_541_eq__imp__le,axiom,
! [X197,X199] :
( X197 = X199
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_541_eq__imp__le) ).
fof(fact_260_order__eq__refl,axiom,
! [X104,X105] :
( X104 = X105
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X104),X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_order__eq__refl) ).
fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom,
! [X201,X202] :
( X201 != X202
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X201),X202)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Nat__Onat_T) ).
fof(fact_492_subset__refl,axiom,
! [X71] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X71)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_492_subset__refl) ).
fof(fact_226_order__refl,axiom,
! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_order__refl) ).
fof(fact_539_le__refl,axiom,
! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X199),X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_539_le__refl) ).
fof(fact_225_order__refl,axiom,
! [X77] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X77),X77)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_order__refl) ).
fof(fact_224_order__refl,axiom,
! [X4] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_order__refl) ).
fof(fact_534_nat__add__commute,axiom,
! [X197,X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),X197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_534_nat__add__commute) ).
fof(fact_43_iso__tuple__UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),top_to1773227171t_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_iso__tuple__UNIV__I) ).
fof(fact_35_UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),top_to1773227171t_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_UNIV__I) ).
fof(fact_409_subset__UNIV,axiom,
! [X71] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X71),top_to1773227171t_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_409_subset__UNIV) ).
fof(fact_344_top__greatest,axiom,
! [X12] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X12),top_to1773227171t_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_top__greatest) ).
fof(fact_406_subset__UNIV,axiom,
! [X71] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X71),top_to846262053l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_406_subset__UNIV) ).
fof(fact_341_top__greatest,axiom,
! [X12] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X12),top_to846262053l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_341_top__greatest) ).
fof(fact_46_iso__tuple__UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),top_to846262053l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_iso__tuple__UNIV__I) ).
fof(fact_38_UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),top_to846262053l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_UNIV__I) ).
fof(fact_407_subset__UNIV,axiom,
! [X71] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X71),top_to1849101472l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_407_subset__UNIV) ).
fof(fact_342_top__greatest,axiom,
! [X12] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X12),top_to1849101472l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_top__greatest) ).
fof(fact_45_iso__tuple__UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),top_to1849101472l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_iso__tuple__UNIV__I) ).
fof(fact_37_UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),top_to1849101472l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_UNIV__I) ).
fof(fact_408_subset__UNIV,axiom,
! [X71] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X71),top_to935749874l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_408_subset__UNIV) ).
fof(fact_343_top__greatest,axiom,
! [X12] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X12),top_to935749874l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_top__greatest) ).
fof(fact_44_iso__tuple__UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),top_to935749874l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_iso__tuple__UNIV__I) ).
fof(fact_36_UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),top_to935749874l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_UNIV__I) ).
fof(fact_411_subset__UNIV,axiom,
! [X71] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X71),top_to1257323279t_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_411_subset__UNIV) ).
fof(fact_346_top__greatest,axiom,
! [X12] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X12),top_to1257323279t_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_top__greatest) ).
fof(fact_42_iso__tuple__UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),top_to1257323279t_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_iso__tuple__UNIV__I) ).
fof(fact_34_UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),top_to1257323279t_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_UNIV__I) ).
fof(fact_410_subset__UNIV,axiom,
! [X71] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),top_top_fun_nat_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_410_subset__UNIV) ).
fof(fact_345_top__greatest,axiom,
! [X12] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),top_top_fun_nat_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_top__greatest) ).
fof(fact_47_iso__tuple__UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),top_top_fun_nat_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_iso__tuple__UNIV__I) ).
fof(fact_39_UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),top_top_fun_nat_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_UNIV__I) ).
fof(fact_40_iso__tuple__UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),top_to1647826457l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_iso__tuple__UNIV__I) ).
fof(fact_32_UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),top_to1647826457l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_UNIV__I) ).
fof(fact_412_subset__UNIV,axiom,
! [X71] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X71),top_to207207712i_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_412_subset__UNIV) ).
fof(fact_347_top__greatest,axiom,
! [X12] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X12),top_to207207712i_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_top__greatest) ).
fof(fact_41_iso__tuple__UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),top_to207207712i_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_iso__tuple__UNIV__I) ).
fof(fact_33_UNIV__I,axiom,
! [X4] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),top_to207207712i_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_UNIV__I) ).
fof(fact_340_top__greatest,axiom,
! [X12] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X12),top_top_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_top__greatest) ).
fof(fact_613_gr0I,axiom,
! [X199] :
( X199 != zero_zero_nat
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X199)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_613_gr0I) ).
fof(fact_623_less__eq__nat_Osimps_I1_J,axiom,
! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_623_less__eq__nat_Osimps_I1_J) ).
fof(fact_612_le0,axiom,
! [X199] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X199)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_612_le0) ).
fof(fact_579_linear__alt,axiom,
? [X214] :
( is_fun20916972t_bool(X214)
& hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X214),arrow_912654623le_Lin)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_579_linear__alt) ).
fof(fact_621_add__eq__self__zero,axiom,
! [X197,X199] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X199) = X197
=> X199 = zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_621_add__eq__self__zero) ).
fof(fact_620_add__is__0,axiom,
! [X200,X26] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X200),X26) = zero_zero_nat
<=> ( X200 = zero_zero_nat
& X26 = zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_620_add__is__0) ).
fof(fact_688_Suc__eq__plus1,axiom,
! [X199] : hAPP_nat_nat(suc,X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X199),one_one_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_688_Suc__eq__plus1) ).
fof(fact_679_less__eq__Suc__le__raw,axiom,
! [X24] : hAPP_n1699378549t_bool(ord_less_nat,X24) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_679_less__eq__Suc__le__raw) ).
fof(fact_687_Suc__eq__plus1__left,axiom,
! [X199] : hAPP_nat_nat(suc,X199) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X199),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_687_Suc__eq__plus1__left) ).
fof(fact_51_top__apply,axiom,
! [X4] :
( hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X4))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_top__apply) ).
fof(fact_48_top__apply,axiom,
! [X4] :
( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X4))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_top__apply) ).
fof(fact_50_top__apply,axiom,
! [X4] :
( hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X4))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_top__apply) ).
fof(fact_49_top__apply,axiom,
! [X4] :
( hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X4))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_top__apply) ).
fof(fact_53_top__apply,axiom,
! [X4] :
( hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X4))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_top__apply) ).
fof(fact_54_top__apply,axiom,
! [X4] :
( hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X4))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_top__apply) ).
fof(fact_52_top__apply,axiom,
! [X4] :
( hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X4))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_top__apply) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe,axiom,
! [X226,X227] :
( is_bool(X226)
=> hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl,axiom,
! [X226,X227] :
( is_fun701126715l_bool(X226)
=> hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__,axiom,
! [X226,X227] :
( is_fun2015243113i_bool(X226)
=> hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_,axiom,
! [X226,X227] :
( is_bool(X226)
=> hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__,axiom,
! [X226,X227] :
( is_bool(X226)
=> hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_050,axiom,
! [X226,X227] :
( is_fun1420103068l_bool(X226)
=> hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_050) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel,axiom,
! [X226,X227] :
( is_bool(X226)
=> hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Product____Type__Ounit_U,axiom,
! [X226,X227] :
( is_bool(X226)
=> hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Product____Type__Ounit_U) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
! [X226,X227] :
( is_bool(X226)
=> hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy,axiom,
! [X226,X227] :
( is_fun20916972t_bool(X226)
=> hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_045,axiom,
! [X226,X227] :
( is_fun20916972t_bool(X226)
=> hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_045) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe,axiom,
! [X226,X227] :
( is_fun1420103068l_bool(X226)
=> hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl,axiom,
! [X226,X227] :
( is_bool(X226)
=> hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X226),X227) = X226 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___033,hypothesis,
! [X1,X2] :
( ( is_fun1420103068l_bool(X1)
& is_fun20916972t_bool(X2) )
=> is_bool(hAPP_f1733357041l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___033) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__HOL__O,axiom,
! [X1,X2] :
( ( is_fun2015243113i_bool(X1)
& is_Arr859726945e_indi(X2) )
=> is_bool(hAPP_A416869060i_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__HOL__O) ).
fof(fact_639_nat_Oinject,axiom,
! [X217,X218] :
( hAPP_nat_nat(suc,X217) = hAPP_nat_nat(suc,X218)
<=> X217 = X218 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_639_nat_Oinject) ).
fof(fact_638_Suc__inject,axiom,
! [X201,X202] :
( hAPP_nat_nat(suc,X201) = hAPP_nat_nat(suc,X202)
=> X201 = X202 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_638_Suc__inject) ).
fof(fact_605_infinite__UNIV__nat,axiom,
~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_605_infinite__UNIV__nat) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Arrow___,axiom,
! [X226,X227] : hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X226),X227) = X226,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Arrow___) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It,axiom,
! [X226,X227] : hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X226),X227) = X226,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona,axiom,
! [X226,X227] : hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X226),X227) = X226,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___035,axiom,
! [X1,X2] :
( is_fun20916972t_bool(X2)
=> is_fun1568535512t_bool(hAPP_f649586561t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___035) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__fun_I,axiom,
! [X1,X2] :
( is_fun1568535512t_bool(X2)
=> is_fun1568535512t_bool(hAPP_f427533077t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__fun_I) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Ob,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun1568535512t_bool(hAPP_b1096750261t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Ob) ).
fof(gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____wylsunqmt,axiom,
! [X1,X2] :
( is_fun2015243113i_bool(X1)
=> is_fun1084921220e_indi(hilber951314860di_nat(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____wylsunqmt) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__,axiom,
! [X1,X2] :
( is_fun20916972t_bool(X2)
=> is_Arr859726945e_indi(hAPP_f1283454584e_indi(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oi,axiom,
! [X1,X2] :
( is_fun1084921220e_indi(X1)
=> is_Arr859726945e_indi(hAPP_n619554777e_indi(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oi) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___034,axiom,
! [X1,X2] :
( is_fun20916972t_bool(X2)
=> is_fun2015243113i_bool(hAPP_f431432850i_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___034) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__005,axiom,
! [X1,X2] :
( is_fun2015243113i_bool(X2)
=> is_fun2015243113i_bool(hAPP_f1282033109i_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__005) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun2015243113i_bool(hAPP_b2116075462i_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__039,axiom,
! [X1,X2] :
( is_fun20916972t_bool(X1)
=> is_bool(hAPP_P1813625415t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__039) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_030,axiom,
! [X1,X2] :
( is_fun1420103068l_bool(X2)
=> is_bool(hAPP_f560517119l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_030) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_023,axiom,
! [X1,X2] :
( is_fun292781289l_bool(X2)
=> is_bool(hAPP_f322109294l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_023) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_017,axiom,
! [X1,X2] :
( is_fun292781289l_bool(X1)
=> is_bool(hAPP_f446648900l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_017) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_014,axiom,
! [X1,X2] :
( is_fun701126715l_bool(X2)
=> is_bool(hAPP_f147218624l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_014) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__HOL__,axiom,
! [X1,X2] :
( is_fun1568535512t_bool(X2)
=> is_bool(hAPP_f2028818269l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__HOL__) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__007,axiom,
! [X1,X2] :
( is_fun701126715l_bool(X1)
=> is_bool(hAPP_f1378099862l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__007) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc_,axiom,
! [X1,X2] :
( is_fun2015243113i_bool(X2)
=> is_bool(hAPP_f160177134l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc_) ).
fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__HOL__Obool,axiom,
! [X1,X2] :
( is_fun1568535512t_bool(X1)
=> is_bool(hAPP_P1676879539t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_bool(hAPP_bool_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob,axiom,
! [X1,X2] :
( is_Arr723427730le_alt(X2)
=> is_bool(hAPP_A1120018583t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___038,axiom,
! [X1,X2] :
( is_fun20916972t_bool(X2)
=> is_fun20916972t_bool(hAPP_f137597973t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___038) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun20916972t_bool(hAPP_b763490121t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_004,axiom,
! [X1,X2] :
( is_Arr859726945e_indi(X2)
=> is_fun20916972t_bool(hAPP_A340536322t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_004) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_001,axiom,
! [X1,X2] :
( is_Arr723427730le_alt(X2)
=> is_fun20916972t_bool(hAPP_A1014090479t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_001) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___036,axiom,
! [X1,X2] :
( is_fun20916972t_bool(X2)
=> is_fun701126715l_bool(hAPP_f1332130404l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___036) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_015,axiom,
! [X1,X2] :
( is_fun701126715l_bool(X2)
=> is_fun701126715l_bool(hAPP_f189058133l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_015) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun701126715l_bool(hAPP_b1461182872l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It,axiom,
! [X1,X2] :
( is_Arr859726945e_indi(X2)
=> is_fun701126715l_bool(hAPP_A701636433l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It) ).
fof(gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc_,axiom,
! [X1,X2] :
( is_fun2015243113i_bool(X1)
=> is_fun701126715l_bool(pi_Arr1801471756t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___037,axiom,
! [X1,X2] :
( is_fun20916972t_bool(X2)
=> is_fun1420103068l_bool(hAPP_f1344932147l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___037) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_031,axiom,
! [X1,X2] :
( is_fun1420103068l_bool(X2)
=> is_fun1420103068l_bool(hAPP_f574392641l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_031) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_003,axiom,
! [X1,X2] :
( is_Arr859726945e_indi(X2)
=> is_fun1420103068l_bool(hAPP_A659996934l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_003) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc,axiom,
! [X1,X2] :
( is_Arr723427730le_alt(X2)
=> is_fun1420103068l_bool(hAPP_A433435097l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc) ).
fof(gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa,axiom,
! [X1,X2] :
( is_fun20916972t_bool(X1)
=> is_fun1420103068l_bool(pi_Pro1873779901t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_024,axiom,
! [X1,X2] :
( is_fun292781289l_bool(X2)
=> is_fun292781289l_bool(hAPP_f1028172757l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_024) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun292781289l_bool(hAPP_b651754310l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_002,axiom,
! [X1,X2] :
( is_Arr859726945e_indi(X2)
=> is_fun292781289l_bool(hAPP_A955165183l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_002) ).
fof(gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oin,axiom,
! [X1,X2] :
( is_fun701126715l_bool(X1)
=> is_fun292781289l_bool(pi_fun1555365306t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oin) ).
fof(fact_672_inj__Suc,axiom,
! [X209] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X209)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_672_inj__Suc) ).
fof(fact_376_inj__on__id2,axiom,
! [X71] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X71)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_376_inj__on__id2) ).
fof(fact_619_Nat_Oadd__0__right,axiom,
! [X197] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),zero_zero_nat) = X197,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_619_Nat_Oadd__0__right) ).
fof(fact_618_plus__nat_Oadd__0,axiom,
! [X199] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X199) = X199,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_618_plus__nat_Oadd__0) ).
fof(fact_221_Pi__UNIV,axiom,
! [X71] : pi_Pro1873779901t_bool(X71,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_Pi__UNIV) ).
fof(fact_222_Pi__UNIV,axiom,
! [X71] : pi_fun1555365306t_bool(X71,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_Pi__UNIV) ).
fof(fact_223_Pi__UNIV,axiom,
! [X71] : pi_Arr1801471756t_bool(X71,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_Pi__UNIV) ).
fof(fact_698__096_B_Bthesis_O_A_I_B_Bh_O_A_091_124_Ainj_Ah_059_Arange_Ah_A_061_A_123,axiom,
~ ! [X225] :
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X225),top_to207207712i_bool))
=> image_837079859di_nat(X225,top_to207207712i_bool) != hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_698__096_B_Bthesis_O_A_I_B_Bh_O_A_091_124_Ainj_Ah_059_Arange_Ah_A_061_A_123) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__041,axiom,
! [X1,X2] : is_fun1568535512t_bool(hAPP_P822772139t_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__041) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_019,axiom,
! [X1,X2] : is_fun1568535512t_bool(hAPP_f1841347694t_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_019) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__009,axiom,
! [X1,X2] : is_fun1568535512t_bool(hAPP_f1009478556t_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__009) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obo,axiom,
! [X1,X2] : is_fun1568535512t_bool(hAPP_n454528608t_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obo) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc_,axiom,
! [X1,X2] : is_Arr859726945e_indi(hAPP_P1645359566e_indi(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_016,axiom,
! [X1,X2] : is_Arr859726945e_indi(hAPP_f2043811403e_indi(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_016) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__006,axiom,
! [X1,X2] : is_Arr859726945e_indi(hAPP_f350403485e_indi(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__006) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__040,axiom,
! [X1,X2] : is_fun2015243113i_bool(hAPP_P957402556i_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__040) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_018,axiom,
! [X1,X2] : is_fun2015243113i_bool(hAPP_f783549695i_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_018) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__008,axiom,
! [X1,X2] : is_fun2015243113i_bool(hAPP_f1570138413i_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__008) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsu,axiom,
! [X1,X2] : is_fun2015243113i_bool(hAPP_n1600508401i_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsu) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_032,axiom,
! [X1,X2] : is_bool(hAPP_f557371893l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_032) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl,axiom,
! [X1,X2] : is_bool(hAPP_f817344902l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_029,axiom,
! [X1,X2] : is_bool(hAPP_f1363425282l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_029) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_028,axiom,
! [X1,X2] : is_bool(hAPP_f1384787615l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_028) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_027,axiom,
! [X1,X2] : is_bool(hAPP_f560261801l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_027) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
! [X1,X2] : is_bool(hAPP_f1021828400l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_026,axiom,
! [X1,X2] : is_bool(hAPP_f966397426l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_026) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_025,axiom,
! [X1,X2] : is_bool(hAPP_f750478076l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_025) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
! [X1,X2] : is_bool(hAPP_f742658307l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_022,axiom,
! [X1,X2] : is_bool(hAPP_f1082951236l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_022) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_021,axiom,
! [X1,X2] : is_bool(hAPP_f1138659662l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_021) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls,axiom,
! [X1,X2] : is_bool(hAPP_f882250837l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__prod_Itc__Arrow_,axiom,
! [X1,X2] : is_bool(hAPP_f1117143157l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__prod_Itc__Arrow_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__prod_It,axiom,
! [X1,X2] : is_bool(hAPP_f1965705105l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__prod_It) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__fun_Itc,axiom,
! [X1,X2] : is_bool(hAPP_f1597773170l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__fun_Itc) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__Arrow__,axiom,
! [X1,X2] : is_bool(hAPP_f866114756l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__Arrow__) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__Nat__Onat_J_Mtc_,axiom,
! [X1,X2] : is_bool(hAPP_f339859954l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__Nat__Onat_J_Mtc_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Product____Type__Ounit_J_Mtc_,axiom,
! [X1,X2] : is_bool(hAPP_f537623936l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Product____Type__Ounit_J_Mtc_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Nat__Onat_J_Mtc__HOL__Obool_J,axiom,
! [X1,X2] : is_bool(hAPP_f1426445843l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Nat__Onat_J_Mtc__HOL__Obool_J) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_,axiom,
! [X1,X2] : is_bool(hAPP_f1637334154l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Arrow____Order____Mirabelle__,axiom,
! [X1,X2] : is_bool(hAPP_f1428735377l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Arrow____Order____Mirabelle__) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____,axiom,
! [X1,X2] : is_bool(hAPP_f2053170815l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____,axiom,
! [X1,X2] : is_bool(hAPP_f937100551l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O,axiom,
! [X1,X2] : is_bool(hAPP_f740740988l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M,axiom,
! [X1,X2] : is_bool(hAPP_f620747982l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__Nat__Onat_J_Mtc__HOL__Obool_,axiom,
! [X1,X2] : is_bool(hAPP_f67777128l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__Nat__Onat_J_Mtc__HOL__Obool_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_020,axiom,
! [X1,X2] : is_bool(hAPP_f1291635206l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_020) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_013,axiom,
! [X1,X2] : is_bool(hAPP_f2016919811l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_013) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_012,axiom,
! [X1,X2] : is_bool(hAPP_f1898839893l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_012) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O,axiom,
! [X1,X2] : is_bool(hAPP_f599997089l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
! [X1,X2] : is_bool(hAPP_f54304608l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
! [X1,X2] : is_bool(hAPP_f387058535l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__,axiom,
! [X1,X2] : is_bool(hAPP_f212509069l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
! [X1,X2] : is_bool(hAPP_nat_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__011,hypothesis,
! [X1,X2] : is_fun20916972t_bool(hAPP_f1817389232t_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__011) ).
fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__prod_Itc__Arrow____Orde,axiom,
! [X1,X2] : is_fun20916972t_bool(hAPP_P401722323t_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__prod_Itc__Arrow____Orde) ).
fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__Arrow____Order,axiom,
! [X1,X2] : is_fun701126715l_bool(hAPP_P667392034l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__Arrow____Order) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__042,hypothesis,
! [X1,X2] : is_fun1420103068l_bool(hAPP_P1151433609l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__042) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__010,axiom,
! [X1,X2] : is_fun1420103068l_bool(hAPP_f1895971544l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__010) ).
fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__prod_Itc__Arro,axiom,
! [X1,X2] : is_fun1420103068l_bool(hAPP_P288224245l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__prod_Itc__Arro) ).
fof(gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow,axiom,
! [X1,X2] : is_fun292781289l_bool(hAPP_P1305865168l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow) ).
fof(fact_28_top1I,axiom,
! [X4] : hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_top1I) ).
fof(fact_25_top1I,axiom,
! [X4] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_top1I) ).
fof(fact_27_top1I,axiom,
! [X4] : hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_top1I) ).
fof(fact_26_top1I,axiom,
! [X4] : hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_top1I) ).
fof(fact_30_top1I,axiom,
! [X4] : hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_top1I) ).
fof(fact_31_top1I,axiom,
! [X4] : hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_top1I) ).
fof(fact_29_top1I,axiom,
! [X4] : hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_top1I) ).
fof(fact_640_Suc__n__not__n,axiom,
! [X199] : hAPP_nat_nat(suc,X199) != X199,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_640_Suc__n__not__n) ).
fof(fact_641_n__not__Suc__n,axiom,
! [X199] : X199 != hAPP_nat_nat(suc,X199),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_641_n__not__Suc__n) ).
fof(fact_693_nat_Oexhaust,axiom,
! [X202] :
( X202 != zero_zero_nat
=> ~ ! [X223] : X202 != hAPP_nat_nat(suc,X223) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_693_nat_Oexhaust) ).
fof(fact_692_not0__implies__Suc,axiom,
! [X199] :
( X199 != zero_zero_nat
=> ? [X29] : X199 = hAPP_nat_nat(suc,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_692_not0__implies__Suc) ).
fof(fact_676_Suc__not__Zero,axiom,
! [X197] : hAPP_nat_nat(suc,X197) != zero_zero_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_676_Suc__not__Zero) ).
fof(fact_675_nat_Osimps_I3_J,axiom,
! [X219] : hAPP_nat_nat(suc,X219) != zero_zero_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_675_nat_Osimps_I3_J) ).
fof(fact_673_Suc__neq__Zero,axiom,
! [X197] : hAPP_nat_nat(suc,X197) != zero_zero_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_673_Suc__neq__Zero) ).
fof(fact_678_Zero__not__Suc,axiom,
! [X197] : zero_zero_nat != hAPP_nat_nat(suc,X197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_678_Zero__not__Suc) ).
fof(fact_677_nat_Osimps_I2_J,axiom,
! [X220] : zero_zero_nat != hAPP_nat_nat(suc,X220),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_677_nat_Osimps_I2_J) ).
fof(fact_674_Zero__neq__Suc,axiom,
! [X197] : zero_zero_nat != hAPP_nat_nat(suc,X197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_674_Zero__neq__Suc) ).
fof(gsy_c_Set_OCollect_000tc__Product____Type__Ounit,axiom,
! [X1] :
( is_fun1568535512t_bool(X1)
=> is_fun1568535512t_bool(collect_Product_unit(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__Product____Type__Ounit) ).
fof(gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi,axiom,
! [X1] :
( is_fun2015243113i_bool(X1)
=> is_fun2015243113i_bool(collec279390863e_indi(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) ).
fof(gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O,axiom,
! [X1] :
( is_fun20916972t_bool(X1)
=> is_fun20916972t_bool(collec1376511890le_alt(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oi,axiom,
! [X1] :
( is_fun701126715l_bool(X1)
=> is_fun701126715l_bool(collec1567922785t_bool(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oi) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyls,axiom,
! [X1] :
( is_fun1420103068l_bool(X1)
=> is_fun1420103068l_bool(collec612883262t_bool(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyls) ).
fof(gsy_c_Fun_Oinj__on_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O,axiom,
! [X1] :
( is_fun20916972t_bool(X1)
=> is_fun1420103068l_bool(inj_on398823523t_bool(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Fun_Oinj__on_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsu,axiom,
! [X1] :
( is_fun292781289l_bool(X1)
=> is_fun292781289l_bool(collec1517527055t_bool(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsu) ).
fof(help_COMBI_1_1_COMBI_000tc__Nat__Onat_U,axiom,
! [X226] : hAPP_nat_nat(cOMBI_nat,X226) = X226,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBI_1_1_COMBI_000tc__Nat__Onat_U) ).
fof(fact_176_Collect__def,axiom,
! [X9] :
( is_fun1568535512t_bool(X9)
=> collect_Product_unit(X9) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_Collect__def) ).
fof(fact_177_Collect__def,axiom,
! [X9] :
( is_fun2015243113i_bool(X9)
=> collec279390863e_indi(X9) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_Collect__def) ).
fof(fact_167_UNIV__def,axiom,
top_top_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_UNIV__def) ).
fof(help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm,axiom,
! [X226] :
( is_bool(X226)
=> ( X226 = fTrue
| X226 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm) ).
fof(help_fTrue_1_1_T,axiom,
! [X226] :
( is_bool(X226)
=> ( X226 = fTrue
| X226 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_T) ).
fof(fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai,axiom,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai) ).
fof(fact_181_n_I3_J,axiom,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_n_I3_J) ).
fof(fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0,axiom,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0) ).
fof(fact_77__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096,axiom,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).
fof(fact_76__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096,axiom,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096) ).
fof(fact_71_assms_I1_J,axiom,
hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_assms_I1_J) ).
fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy,axiom,
is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy) ).
fof(fact_19_n_I1_J,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_n_I1_J) ).
fof(fact_74__096Lba_A_058_ALin_096,axiom,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74__096Lba_A_058_ALin_096) ).
fof(fact_73__096Lab_A_058_ALin_096,axiom,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73__096Lab_A_058_ALin_096) ).
fof(fact_3__096P_A_058_AProf_096,axiom,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__096P_A_058_AProf_096) ).
fof(fact_20_injh,axiom,
hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_injh) ).
fof(fact_375_Prof__def,axiom,
arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_375_Prof__def) ).
fof(fact_696_surjh,axiom,
image_837079859di_nat(h,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_696_surjh) ).
fof(fact_1_u,axiom,
hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_u) ).
fof(fact_0_assms_I3_J,axiom,
hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I3_J) ).
fof(fact_595_finite__indi,axiom,
hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_595_finite__indi) ).
fof(fact_164_UNIV__def,axiom,
top_to1773227171t_bool = collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_UNIV__def) ).
fof(fact_161_UNIV__def,axiom,
top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_UNIV__def) ).
fof(fact_163_UNIV__def,axiom,
top_to1849101472l_bool = collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_UNIV__def) ).
fof(fact_162_UNIV__def,axiom,
top_to935749874l_bool = collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_UNIV__def) ).
fof(fact_166_UNIV__def,axiom,
top_to1257323279t_bool = collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_UNIV__def) ).
fof(fact_165_UNIV__def,axiom,
top_to207207712i_bool = collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_UNIV__def) ).
fof(fact_656_One__nat__def,axiom,
one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_656_One__nat__def) ).
fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi,axiom,
is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi) ).
fof(gsy_c_HOL_Oundefined_000tc__HOL__Obool,axiom,
is_bool(undefined_bool(bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__HOL__Obool) ).
fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt,axiom,
is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) ).
fof(help_fTrue_1_1_U,axiom,
hBOOL(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL,axiom,
is_fun1568535512t_bool(top_to1257323279t_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____,axiom,
is_fun2015243113i_bool(top_to207207712i_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____) ).
fof(gsy_c_fTrue,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fTrue) ).
fof(gsy_c_fFalse,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool,axiom,
is_bool(top_top_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).
fof(gsy_v_e____,axiom,
is_Arr723427730le_alt(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_e____) ).
fof(gsy_v_d____,hypothesis,
is_Arr723427730le_alt(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_d____) ).
fof(gsy_v_c____,hypothesis,
is_Arr723427730le_alt(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_c____) ).
fof(gsy_v_b____,axiom,
is_Arr723427730le_alt(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_b____) ).
fof(gsy_v_a____,axiom,
is_Arr723427730le_alt(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_a____) ).
fof(gsy_v_Lba____,axiom,
is_fun20916972t_bool(lba),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_Lba____) ).
fof(gsy_v_Lab____,axiom,
is_fun20916972t_bool(lab),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_Lab____) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir,axiom,
is_fun20916972t_bool(top_to1773227171t_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira,axiom,
is_fun701126715l_bool(top_to935749874l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira) ).
fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf,axiom,
is_fun701126715l_bool(arrow_583275979e_Prof),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord,axiom,
is_fun1420103068l_bool(top_to846262053l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord) ).
fof(gsy_c_Finite__Set_Ofinite_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsun,axiom,
is_fun1420103068l_bool(finite955821396le_alt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ofinite_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsun) ).
fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OLin,axiom,
is_fun1420103068l_bool(arrow_912654623le_Lin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OLin) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde,axiom,
is_fun292781289l_bool(top_to1849101472l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde) ).
fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Ounanimity,axiom,
is_fun292781289l_bool(arrow_1550141362nimity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Ounanimity) ).
fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OIIA,axiom,
is_fun292781289l_bool(arrow_885770895le_IIA),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OIIA) ).
fof(fact_603_card__UNIV__unit,axiom,
finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_603_card__UNIV__unit) ).
fof(fact_2__096c_A_126_061_Ad_096,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096c_A_126_061_Ad_096) ).
fof(fact_75__096a_A_126_061_Ab_096,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75__096a_A_126_061_Ab_096) ).
fof(i_0_860,plain,
! [X14] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> ( ( hAPP_A1895296483di_nat(h,X14) = n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
& ( hAPP_A1895296483di_nat(h,X14) != n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) )
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_83__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Amk]) ).
fof(i_0_861,plain,
! [X75,X221] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X221))
=> finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X75)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X221)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X75))))) ),
inference(fof_simplification,[status(thm)],[fact_683_card__less__Suc2]) ).
fof(i_0_862,plain,
~ ! [X78] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X78),finite354462354e_indi(top_to207207712i_bool)))
=> ( ! [X29] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X29),X78))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X29))),lab)),lba)))) )
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X78),one_one_nat)))),lab)),lba)))) ) ),
inference(fof_simplification,[status(thm)],[fact_228__096_B_Bthesis_O_A_I_B_Bn_O_A_091_124_An_A_060_AN_059_AALL_Am_060_061n_]) ).
fof(i_0_863,plain,
! [X14] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> ( ( hAPP_A1895296483di_nat(h,X14) = n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
& ( hAPP_A1895296483di_nat(h,X14) != n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) )
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_183__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am]) ).
fof(i_0_864,plain,
! [X14] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X14)))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X14)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X14)),n))
=> ( ( hAPP_A1895296483di_nat(h,X14) = n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X14)),c),e))) )
& ( hAPP_A1895296483di_nat(h,X14) != n
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X14)),e))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J]) ).
fof(i_0_865,plain,
! [X2520] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| hAPP_A1895296483di_nat(h,X2520) != n
| hAPP_A1895296483di_nat(h,X2520) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hAPP_A1895296483di_nat(h,X2520) != n
| hAPP_A1895296483di_nat(h,X2520) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| hAPP_A1895296483di_nat(h,X2520) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| hAPP_A1895296483di_nat(h,X2520) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| hAPP_A1895296483di_nat(h,X2520) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hAPP_A1895296483di_nat(h,X2520) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| hAPP_A1895296483di_nat(h,X2520) != n
| hAPP_A1895296483di_nat(h,X2520) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hAPP_A1895296483di_nat(h,X2520) != n
| hAPP_A1895296483di_nat(h,X2520) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| hAPP_A1895296483di_nat(h,X2520) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| hAPP_A1895296483di_nat(h,X2520) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| hAPP_A1895296483di_nat(h,X2520) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hAPP_A1895296483di_nat(h,X2520) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hAPP_A1895296483di_nat(h,X2520) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hAPP_A1895296483di_nat(h,X2520) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hAPP_A1895296483di_nat(h,X2520) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( hAPP_A1895296483di_nat(h,X2520) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
& ( hAPP_A1895296483di_nat(h,X2520) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
& ( hAPP_A1895296483di_nat(h,X2520) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2520)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
& ( hAPP_A1895296483di_nat(h,X2520) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2520)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) )
& ( hAPP_A1895296483di_nat(h,X2520) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2520)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2520)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_860])])]) ).
fof(i_0_866,plain,
! [X4025,X4026] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X4026))
| hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X4026)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X4025))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X4026)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X4025))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_681_card__less__Suc])]) ).
fof(i_0_867,plain,
! [X2718] : collect_nat(X2718) = X2718,
inference(variable_rename,[status(thm)],[fact_178_Collect__def]) ).
fof(i_0_868,plain,
! [X4029,X4030] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X4030))
| finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X4030)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X4029)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X4030)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X4029))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_861])]) ).
fof(i_0_869,plain,
! [X4,X5,X6] :
( ( is_Arr723427730le_alt(X4)
& is_Arr723427730le_alt(X5) )
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> ( X4 != X5
=> ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),X6))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X4)),X6)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_85_notin__Lin__iff]) ).
fof(i_0_870,plain,
! [X12,X13,X6] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X6),arrow_912654623le_Lin))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X12),X13)),X6))
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X13),X12)),X6)) ) ),
inference(fof_simplification,[status(thm)],[fact_86_Lin__irrefl]) ).
fof(i_0_871,plain,
! [X4027,X4028] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X4028))
| finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X4028)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X4027))))) != zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_682_card__less])]) ).
fof(i_0_872,plain,
! [X3890,X3891] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk80_2(X3890,X3891)),hAPP_nat_nat(X3891,esk80_2(X3890,X3891))))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X3891)),X3890)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_609_finite__less__ub])])]) ).
fof(i_0_873,plain,
! [X197,X198,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X197),X198)),X199))
=> ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X198),X199)) ) ),
inference(fof_simplification,[status(thm)],[fact_524_add__leE]) ).
fof(i_0_874,plain,
! [X207,X208] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X207),X208)),X207)),
inference(fof_simplification,[status(thm)],[fact_546_not__add__less1]) ).
fof(i_0_875,plain,
! [X208,X207] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X208),X207)),X207)),
inference(fof_simplification,[status(thm)],[fact_547_not__add__less2]) ).
fof(i_0_876,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X74),pi_Pro1208494515le_alt(X71,X76)))
=> ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X74,X4)),hAPP_P401722323t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_192_PiE]) ).
fof(i_0_877,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X74),pi_boo1542163389le_alt(X71,X76)))
=> ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X74,X4)),hAPP_b763490121t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_191_PiE]) ).
fof(i_0_878,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X74),pi_Arr1064242500le_alt(X71,X76)))
=> ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X74,X4)),hAPP_A340536322t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_190_PiE]) ).
fof(i_0_879,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X74),pi_fun1555365306t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X74,X4)),hAPP_f1895971544l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_218_PiE]) ).
fof(i_0_880,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X74),pi_Pro1925515229t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X74,X4)),hAPP_P288224245l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_200_PiE]) ).
fof(i_0_881,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X74),pi_boo1746012499t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X74,X4)),hAPP_b805997823l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_199_PiE]) ).
fof(i_0_882,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X74),pi_Arr1801471756t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X74,X4)),hAPP_A659996934l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_219_PiE]) ).
fof(i_0_883,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X74),pi_Pro831923248t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X74,X4)),hAPP_P1305865168l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_198_PiE]) ).
fof(i_0_884,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X74),pi_boo68262458t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X74,X4)),hAPP_b651754310l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_197_PiE]) ).
fof(i_0_885,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X74),pi_Arr742795713t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X74,X4)),hAPP_A955165183l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_196_PiE]) ).
fof(i_0_886,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X74),pi_Pro1114473858t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X74,X4)),hAPP_P667392034l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_195_PiE]) ).
fof(i_0_887,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X74),pi_boo679625100t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X74,X4)),hAPP_b1461182872l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_194_PiE]) ).
fof(i_0_888,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X74),pi_Arr656802323t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X74,X4)),hAPP_A701636433l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_193_PiE]) ).
fof(i_0_889,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X74),pi_nat_Product_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X74,X4)),hAPP_n454528608t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_217_PiE]) ).
fof(i_0_890,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X74),pi_fun1012573681t_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X74,X4)),hAPP_f649586561t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_214_PiE]) ).
fof(i_0_891,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X74),pi_fun1390764464t_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X74,X4)),hAPP_f1841347694t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_211_PiE]) ).
fof(i_0_892,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X74),pi_fun623621634t_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X74,X4)),hAPP_f1009478556t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_208_PiE]) ).
fof(i_0_893,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X74),pi_Pro269694131t_unit(X71,X76)))
=> ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X74,X4)),hAPP_P822772139t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_205_PiE]) ).
fof(i_0_894,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X74),pi_Product_unit_nat(X71,X76)))
=> ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X74,X4)),hAPP_P32877782t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_203_PiE]) ).
fof(i_0_895,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X74),pi_bool_nat(X71,X76)))
=> ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X74,X4)),hAPP_b1013836512t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_202_PiE]) ).
fof(i_0_896,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X74),pi_Arr604548589di_nat(X71,X76)))
=> ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X74,X4)),hAPP_A1948275303t_bool(X76,X4)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_201_PiE]) ).
fof(i_0_897,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X74),pi_Pro1873779901t_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X74,X4)),hAPP_P1122857141l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_189_PiE]) ).
fof(i_0_898,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X74),pi_fun568395771l_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X74,X4)),hAPP_f812095627l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_213_PiE]) ).
fof(i_0_899,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X74),pi_fun187048122l_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X74,X4)),hAPP_f721327224l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_210_PiE]) ).
fof(i_0_900,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X74),pi_fun1236347660l_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X74,X4)),hAPP_f591334822l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_207_PiE]) ).
fof(i_0_901,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X74),pi_nat_bool(X71,X76)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X74,X4)),hAPP_n1006566506l_bool(X76,X4)))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_216_PiE]) ).
fof(i_0_902,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X74),pi_Pro58544964e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X74,X4)),hAPP_P957402556i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_204_PiE]) ).
fof(i_0_903,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X74),pi_fun596906370e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X74,X4)),hAPP_f431432850i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_212_PiE]) ).
fof(i_0_904,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X74),pi_fun1353458625e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X74,X4)),hAPP_f783549695i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_209_PiE]) ).
fof(i_0_905,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X74),pi_fun268174099e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X74,X4)),hAPP_f1570138413i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_206_PiE]) ).
fof(i_0_906,plain,
! [X4,X74,X71,X76] :
( hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X74),pi_nat1476290531e_indi(X71,X76)))
=> ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X74,X4)),hAPP_n1600508401i_bool(X76,X4)))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_215_PiE]) ).
fof(i_0_907,plain,
! [X3876,X3877] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X3876),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X3877))))),
inference(variable_rename,[status(thm)],[fact_606_finite__M__bounded__by__nat]) ).
fof(i_0_908,plain,
! [X26,X9] :
( ~ hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(X9,X26))
=> ? [X211] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X211),X26))
& ! [X14] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X14),X211))
=> ~ hBOOL(hAPP_nat_bool(X9,X14)) )
& hBOOL(hAPP_nat_bool(X9,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X211),one_one_nat))) ) ) ),
inference(fof_simplification,[status(thm)],[fact_625_ex__least__nat__less]) ).
fof(i_0_909,plain,
! [X200,X26] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),X26))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X26)),X200)) ),
inference(fof_simplification,[status(thm)],[fact_632_not__less__eq__eq]) ).
fof(i_0_910,plain,
! [X26,X9] :
( ~ hBOOL(hAPP_nat_bool(X9,zero_zero_nat))
=> ( hBOOL(hAPP_nat_bool(X9,X26))
=> ? [X211] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X211),X26))
& ! [X14] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X14),X211))
=> ~ hBOOL(hAPP_nat_bool(X9,X14)) )
& hBOOL(hAPP_nat_bool(X9,X211)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_626_ex__least__nat__le]) ).
fof(i_0_911,plain,
~ ! [X28] :
( is_fun20916972t_bool(X28)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),X28))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X28),arrow_912654623le_Lin)) ) ),
inference(fof_simplification,[status(thm)],[fact_82__096_B_Bthesis_O_A_I_B_BLba_O_A_091_124_Ab_A_060_092_060_094bsub_062Lba_]) ).
fof(i_0_912,plain,
~ ! [X27] :
( is_fun20916972t_bool(X27)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),X27))
=> ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X27),arrow_912654623le_Lin)) ) ),
inference(fof_simplification,[status(thm)],[fact_81__096_B_Bthesis_O_A_I_B_BLab_O_A_091_124_Aa_A_060_092_060_094bsub_062Lab_]) ).
fof(i_0_913,plain,
! [X200,X26] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X200),X26))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200))) ),
inference(fof_simplification,[status(thm)],[fact_645_not__less__eq]) ).
fof(i_0_914,plain,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),hAPP_nat_nat(suc,X199)))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X197),X199))
=> X197 = hAPP_nat_nat(suc,X199) ) ),
inference(fof_simplification,[status(thm)],[fact_636_le__SucE]) ).
fof(i_0_915,plain,
! [X74,X81] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X74),X81))
<=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X74),X81))
& ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X81),X74)) ) ),
inference(fof_simplification,[status(thm)],[fact_400_less__fun__def]) ).
fof(i_0_916,plain,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
<=> ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X4),X5))
& ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X5),X4)) ) ),
inference(fof_simplification,[status(thm)],[fact_275_less__le__not__le]) ).
fof(i_0_917,plain,
! [X74,X81] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X74),X81))
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X74),X81))
& ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X81),X74)) ) ),
inference(fof_simplification,[status(thm)],[fact_399_less__fun__def]) ).
fof(i_0_918,plain,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
<=> ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4),X5))
& ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X5),X4)) ) ),
inference(fof_simplification,[status(thm)],[fact_278_less__le__not__le]) ).
fof(i_0_919,plain,
! [X74,X81] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X74),X81))
<=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X74),X81))
& ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X81),X74)) ) ),
inference(fof_simplification,[status(thm)],[fact_401_less__fun__def]) ).
fof(i_0_920,plain,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
<=> ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X4),X5))
& ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X5),X4)) ) ),
inference(fof_simplification,[status(thm)],[fact_276_less__le__not__le]) ).
fof(i_0_921,plain,
! [X4,X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
& ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ) ),
inference(fof_simplification,[status(thm)],[fact_279_less__le__not__le]) ).
fof(i_0_922,plain,
! [X4,X5] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X4),X5))
<=> ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X4),X5))
& ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X5),X4)) ) ),
inference(fof_simplification,[status(thm)],[fact_277_less__le__not__le]) ).
fof(i_0_923,plain,
! [X197,X199] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),hAPP_nat_nat(suc,X199)))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X197),X199))
=> X197 = X199 ) ),
inference(fof_simplification,[status(thm)],[fact_653_less__SucE]) ).
fof(i_0_924,plain,
! [X199,X197] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X197))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),hAPP_nat_nat(suc,X197)))
=> X197 = X199 ) ),
inference(fof_simplification,[status(thm)],[fact_649_less__antisym]) ).
fof(i_0_925,plain,
! [X26,X200] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X200))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),hAPP_nat_nat(suc,X200)))
<=> X26 = X200 ) ),
inference(fof_simplification,[status(thm)],[fact_648_not__less__less__Suc__eq]) ).
fof(i_0_926,plain,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X199)),X199)),
inference(fof_simplification,[status(thm)],[fact_631_Suc__n__not__le__n]) ).
fof(i_0_927,plain,
! [X4,X5] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> X4 = X5 ) ),
inference(fof_simplification,[status(thm)],[fact_304_linorder__antisym__conv2]) ).
fof(i_0_928,plain,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_145_order__less__not__sym]) ).
fof(i_0_929,plain,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_141_order__less__imp__not__less]) ).
fof(i_0_930,plain,
! [X12,X13] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12)) ),
inference(fof_simplification,[status(thm)],[fact_125_order__less__asym_H]) ).
fof(i_0_931,plain,
! [X13,X12] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X13),X12))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X12),X13)) ),
inference(fof_simplification,[status(thm)],[fact_121_xt1_I9_J]) ).
fof(i_0_932,plain,
! [X4,X5] :
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X5))
=> ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_93_order__less__asym]) ).
fof(i_0_933,plain,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_144_order__less__not__sym]) ).
fof(i_0_934,plain,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_140_order__less__imp__not__less]) ).
fof(i_0_935,plain,
! [X12,X13] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12)) ),
inference(fof_simplification,[status(thm)],[fact_124_order__less__asym_H]) ).
fof(i_0_936,plain,
! [X13,X12] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X13),X12))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X12),X13)) ),
inference(fof_simplification,[status(thm)],[fact_120_xt1_I9_J]) ).
fof(i_0_937,plain,
! [X4,X5] :
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X5))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_92_order__less__asym]) ).
fof(i_0_938,plain,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_146_order__less__not__sym]) ).
fof(i_0_939,plain,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_142_order__less__imp__not__less]) ).
fof(i_0_940,plain,
! [X12,X13] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12)) ),
inference(fof_simplification,[status(thm)],[fact_126_order__less__asym_H]) ).
fof(i_0_941,plain,
! [X13,X12] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X13),X12))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X12),X13)) ),
inference(fof_simplification,[status(thm)],[fact_122_xt1_I9_J]) ).
fof(i_0_942,plain,
! [X4,X5] :
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X5))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_94_order__less__asym]) ).
fof(i_0_943,plain,
! [X4,X5] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_268_linorder__not__le]) ).
fof(i_0_944,plain,
! [X118,X119] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X118),X119))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X119),X118)) ),
inference(fof_simplification,[status(thm)],[fact_298_leD]) ).
fof(i_0_945,plain,
! [X4,X5] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)) ),
inference(fof_simplification,[status(thm)],[fact_267_linorder__not__less]) ).
fof(i_0_946,plain,
! [X4,X5] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
| X4 = X5 ) ),
inference(fof_simplification,[status(thm)],[fact_155_not__less__iff__gr__or__eq]) ).
fof(i_0_947,plain,
! [X62,X63] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X63))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X62)) ),
inference(fof_simplification,[status(thm)],[fact_147_order__less__not__sym]) ).
fof(i_0_948,plain,
! [X60,X61] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X60),X61))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X60)) ),
inference(fof_simplification,[status(thm)],[fact_143_order__less__imp__not__less]) ).
fof(i_0_949,plain,
! [X54,X55] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X54),X55))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X54)) ),
inference(fof_simplification,[status(thm)],[fact_127_order__less__asym_H]) ).
fof(i_0_950,plain,
! [X52,X53] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X52),X53))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X52)) ),
inference(fof_simplification,[status(thm)],[fact_123_xt1_I9_J]) ).
fof(i_0_951,plain,
! [X32,X33] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X33))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X32)) ),
inference(fof_simplification,[status(thm)],[fact_95_order__less__asym]) ).
fof(i_0_952,plain,
! [X4,X5] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))
<=> X4 = X5 ) ),
inference(fof_simplification,[status(thm)],[fact_287_linorder__antisym__conv1]) ).
fof(i_0_953,plain,
! [X3874] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X3874)))),
inference(variable_rename,[status(thm)],[fact_602_finite__Collect__le__nat]) ).
fof(i_0_954,plain,
! [X3873] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X3873)))),
inference(variable_rename,[status(thm)],[fact_601_finite__Collect__less__nat]) ).
fof(i_0_955,plain,
! [X201,X202] :
( X201 != X202
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X201),X202))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X202),X201)) ) ),
inference(fof_simplification,[status(thm)],[fact_529_linorder__neqE__nat]) ).
fof(i_0_956,plain,
! [X5,X4] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X4))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))
<=> X4 = X5 ) ),
inference(fof_simplification,[status(thm)],[fact_153_linorder__antisym__conv3]) ).
fof(i_0_957,plain,
! [X66,X67] :
( X66 != X67
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X66),X67))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X67),X66)) ) ),
inference(fof_simplification,[status(thm)],[fact_152_linorder__neqE]) ).
fof(i_0_958,plain,
! [X30,X31] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X30),X31))
=> ( X30 != X31
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X31),X30)) ) ),
inference(fof_simplification,[status(thm)],[fact_91_linorder__cases]) ).
fof(i_0_959,plain,
! [X79,X80] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X79),X80))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X80),X79)) ),
inference(fof_simplification,[status(thm)],[fact_229_linorder__le__cases]) ).
fof(i_0_960,plain,
! [X110,X111] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X110),X111))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X111),X110)) ),
inference(fof_simplification,[status(thm)],[fact_285_leI]) ).
fof(i_0_961,plain,
! [X112,X113] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X112),X113))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X113),X112)) ),
inference(fof_simplification,[status(thm)],[fact_286_not__leE]) ).
fof(i_0_962,plain,
! [X226,X227] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227))
| hBOOL(X226) ),
inference(fof_simplification,[status(thm)],[help_fconj_2_1_U]) ).
fof(i_0_963,plain,
! [X226,X227] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227))
| hBOOL(X227) ),
inference(fof_simplification,[status(thm)],[help_fconj_3_1_U]) ).
fof(i_0_964,plain,
! [X201,X202] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X201),X202))
| X201 = X202 ),
inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__Nat__Onat_T]) ).
fof(i_0_965,plain,
! [X4] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X4),X4)),
inference(fof_simplification,[status(thm)],[fact_158_order__less__irrefl]) ).
fof(i_0_966,plain,
! [X4] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X4),X4)),
inference(fof_simplification,[status(thm)],[fact_157_order__less__irrefl]) ).
fof(i_0_967,plain,
! [X4] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X4),X4)),
inference(fof_simplification,[status(thm)],[fact_159_order__less__irrefl]) ).
fof(i_0_968,plain,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X199)),
inference(fof_simplification,[status(thm)],[fact_530_less__irrefl__nat]) ).
fof(i_0_969,plain,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),X199)),
inference(fof_simplification,[status(thm)],[fact_527_less__not__refl]) ).
fof(i_0_970,plain,
! [X70] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X70),X70)),
inference(fof_simplification,[status(thm)],[fact_160_order__less__irrefl]) ).
fof(i_0_971,plain,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
inference(fof_simplification,[status(thm)],[fact_617_not__less0]) ).
fof(i_0_972,plain,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
inference(fof_simplification,[status(thm)],[fact_615_less__nat__zero__code]) ).
fof(i_0_973,plain,
! [X199] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X199),zero_zero_nat)),
inference(fof_simplification,[status(thm)],[fact_611_less__zeroE]) ).
fof(i_0_974,plain,
! [X12] : ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X12)),
inference(fof_simplification,[status(thm)],[fact_59_not__top__less]) ).
fof(i_0_975,plain,
! [X12] : ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X12)),
inference(fof_simplification,[status(thm)],[fact_55_not__top__less]) ).
fof(i_0_976,plain,
! [X12] : ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X12)),
inference(fof_simplification,[status(thm)],[fact_57_not__top__less]) ).
fof(i_0_977,plain,
! [X12] : ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X12)),
inference(fof_simplification,[status(thm)],[fact_56_not__top__less]) ).
fof(i_0_978,plain,
! [X12] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X12)),
inference(fof_simplification,[status(thm)],[fact_61_not__top__less]) ).
fof(i_0_979,plain,
! [X12] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X12)),
inference(fof_simplification,[status(thm)],[fact_62_not__top__less]) ).
fof(i_0_980,plain,
! [X12] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X12)),
inference(fof_simplification,[status(thm)],[fact_60_not__top__less]) ).
fof(i_0_981,plain,
! [X12] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X12)),
inference(fof_simplification,[status(thm)],[fact_58_not__top__less]) ).
fof(i_0_982,plain,
! [X227,X226] :
( ~ hBOOL(X226)
| ~ hBOOL(X227)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X226),X227)) ),
inference(fof_simplification,[status(thm)],[help_fconj_1_1_U]) ).
fof(i_0_983,plain,
! [X4024] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X4024))) = hAPP_nat_nat(suc,X4024),
inference(variable_rename,[status(thm)],[fact_680_card__Collect__le__nat]) ).
fof(i_0_984,plain,
! [X71,X76] :
( X71 = X76
=> ~ ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X71),X76))
=> ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X76),X71)) ) ),
inference(fof_simplification,[status(thm)],[fact_461_equalityE]) ).
fof(i_0_985,plain,
! [X3875] : finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X3875))) = X3875,
inference(variable_rename,[status(thm)],[fact_604_card__Collect__less__nat]) ).
fof(i_0_986,plain,
! [X2400,X2401,X2402,X2403,X2404,X2405] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_f1817389232t_bool(f,X2401)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_f1817389232t_bool(f,X2400)))
| is_Arr859726945e_indi(esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2400),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2401),arrow_583275979e_Prof))
| X2405 = X2402
| X2404 = X2403
| X2402 = X2403
| X2404 = X2405
| ~ is_Arr723427730le_alt(X2402)
| ~ is_Arr723427730le_alt(X2403)
| ~ is_Arr723427730le_alt(X2404)
| ~ is_Arr723427730le_alt(X2405) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_f1817389232t_bool(f,X2400)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_f1817389232t_bool(f,X2401)))
| is_Arr859726945e_indi(esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2400),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2401),arrow_583275979e_Prof))
| X2405 = X2402
| X2404 = X2403
| X2402 = X2403
| X2404 = X2405
| ~ is_Arr723427730le_alt(X2402)
| ~ is_Arr723427730le_alt(X2403)
| ~ is_Arr723427730le_alt(X2404)
| ~ is_Arr723427730le_alt(X2405) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_f1817389232t_bool(f,X2401)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_f1817389232t_bool(f,X2400)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_A340536322t_bool(X2401,esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_A340536322t_bool(X2400,esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2400),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2401),arrow_583275979e_Prof))
| X2405 = X2402
| X2404 = X2403
| X2402 = X2403
| X2404 = X2405
| ~ is_Arr723427730le_alt(X2402)
| ~ is_Arr723427730le_alt(X2403)
| ~ is_Arr723427730le_alt(X2404)
| ~ is_Arr723427730le_alt(X2405) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_f1817389232t_bool(f,X2400)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_f1817389232t_bool(f,X2401)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_A340536322t_bool(X2401,esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_A340536322t_bool(X2400,esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2400),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2401),arrow_583275979e_Prof))
| X2405 = X2402
| X2404 = X2403
| X2402 = X2403
| X2404 = X2405
| ~ is_Arr723427730le_alt(X2402)
| ~ is_Arr723427730le_alt(X2403)
| ~ is_Arr723427730le_alt(X2404)
| ~ is_Arr723427730le_alt(X2405) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_f1817389232t_bool(f,X2401)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_f1817389232t_bool(f,X2400)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_A340536322t_bool(X2401,esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_A340536322t_bool(X2400,esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2400),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2401),arrow_583275979e_Prof))
| X2405 = X2402
| X2404 = X2403
| X2402 = X2403
| X2404 = X2405
| ~ is_Arr723427730le_alt(X2402)
| ~ is_Arr723427730le_alt(X2403)
| ~ is_Arr723427730le_alt(X2404)
| ~ is_Arr723427730le_alt(X2405) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_f1817389232t_bool(f,X2400)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_f1817389232t_bool(f,X2401)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2404),X2405)),hAPP_A340536322t_bool(X2401,esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2402),X2403)),hAPP_A340536322t_bool(X2400,esk1_6(X2400,X2401,X2402,X2403,X2404,X2405))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2400),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2401),arrow_583275979e_Prof))
| X2405 = X2402
| X2404 = X2403
| X2402 = X2403
| X2404 = X2405
| ~ is_Arr723427730le_alt(X2402)
| ~ is_Arr723427730le_alt(X2403)
| ~ is_Arr723427730le_alt(X2404)
| ~ is_Arr723427730le_alt(X2405) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_6__C2_C])])])]) ).
fof(i_0_987,plain,
! [X2407,X2408,X2409,X2410,X2411,X2412] :
( ( is_Arr859726945e_indi(esk2_6(X2407,X2408,X2409,X2410,X2411,X2412))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2411),X2412)),hAPP_f1817389232t_bool(f,X2408)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2409),X2410)),hAPP_f1817389232t_bool(f,X2407)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2407),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2408),arrow_583275979e_Prof))
| X2412 = X2409
| X2411 = X2410
| X2409 = X2410
| X2411 = X2412
| ~ is_Arr723427730le_alt(X2409)
| ~ is_Arr723427730le_alt(X2410)
| ~ is_Arr723427730le_alt(X2411)
| ~ is_Arr723427730le_alt(X2412) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2411),X2412)),hAPP_A340536322t_bool(X2408,esk2_6(X2407,X2408,X2409,X2410,X2411,X2412))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2409),X2410)),hAPP_A340536322t_bool(X2407,esk2_6(X2407,X2408,X2409,X2410,X2411,X2412))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2411),X2412)),hAPP_f1817389232t_bool(f,X2408)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2409),X2410)),hAPP_f1817389232t_bool(f,X2407)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2407),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2408),arrow_583275979e_Prof))
| X2412 = X2409
| X2411 = X2410
| X2409 = X2410
| X2411 = X2412
| ~ is_Arr723427730le_alt(X2409)
| ~ is_Arr723427730le_alt(X2410)
| ~ is_Arr723427730le_alt(X2411)
| ~ is_Arr723427730le_alt(X2412) )
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2411),X2412)),hAPP_A340536322t_bool(X2408,esk2_6(X2407,X2408,X2409,X2410,X2411,X2412))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2409),X2410)),hAPP_A340536322t_bool(X2407,esk2_6(X2407,X2408,X2409,X2410,X2411,X2412))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2411),X2412)),hAPP_f1817389232t_bool(f,X2408)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2409),X2410)),hAPP_f1817389232t_bool(f,X2407)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2407),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2408),arrow_583275979e_Prof))
| X2412 = X2409
| X2411 = X2410
| X2409 = X2410
| X2411 = X2412
| ~ is_Arr723427730le_alt(X2409)
| ~ is_Arr723427730le_alt(X2410)
| ~ is_Arr723427730le_alt(X2411)
| ~ is_Arr723427730le_alt(X2412) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_7__C1_C])])])]) ).
fof(i_0_988,plain,
! [X2420,X2421,X2422,X2423,X2424,X2425] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_f1817389232t_bool(f,X2421)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_f1817389232t_bool(f,X2420)))
| is_Arr859726945e_indi(esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2420),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2421),arrow_583275979e_Prof))
| X2422 = X2423
| X2424 = X2425
| ~ is_Arr723427730le_alt(X2422)
| ~ is_Arr723427730le_alt(X2423)
| ~ is_Arr723427730le_alt(X2424)
| ~ is_Arr723427730le_alt(X2425) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_f1817389232t_bool(f,X2420)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_f1817389232t_bool(f,X2421)))
| is_Arr859726945e_indi(esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2420),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2421),arrow_583275979e_Prof))
| X2422 = X2423
| X2424 = X2425
| ~ is_Arr723427730le_alt(X2422)
| ~ is_Arr723427730le_alt(X2423)
| ~ is_Arr723427730le_alt(X2424)
| ~ is_Arr723427730le_alt(X2425) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_f1817389232t_bool(f,X2421)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_f1817389232t_bool(f,X2420)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_A340536322t_bool(X2421,esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_A340536322t_bool(X2420,esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2420),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2421),arrow_583275979e_Prof))
| X2422 = X2423
| X2424 = X2425
| ~ is_Arr723427730le_alt(X2422)
| ~ is_Arr723427730le_alt(X2423)
| ~ is_Arr723427730le_alt(X2424)
| ~ is_Arr723427730le_alt(X2425) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_f1817389232t_bool(f,X2420)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_f1817389232t_bool(f,X2421)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_A340536322t_bool(X2421,esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_A340536322t_bool(X2420,esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2420),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2421),arrow_583275979e_Prof))
| X2422 = X2423
| X2424 = X2425
| ~ is_Arr723427730le_alt(X2422)
| ~ is_Arr723427730le_alt(X2423)
| ~ is_Arr723427730le_alt(X2424)
| ~ is_Arr723427730le_alt(X2425) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_f1817389232t_bool(f,X2421)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_f1817389232t_bool(f,X2420)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_A340536322t_bool(X2421,esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_A340536322t_bool(X2420,esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2420),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2421),arrow_583275979e_Prof))
| X2422 = X2423
| X2424 = X2425
| ~ is_Arr723427730le_alt(X2422)
| ~ is_Arr723427730le_alt(X2423)
| ~ is_Arr723427730le_alt(X2424)
| ~ is_Arr723427730le_alt(X2425) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_f1817389232t_bool(f,X2420)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_f1817389232t_bool(f,X2421)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2424),X2425)),hAPP_A340536322t_bool(X2421,esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2422),X2423)),hAPP_A340536322t_bool(X2420,esk4_6(X2420,X2421,X2422,X2423,X2424,X2425))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2420),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2421),arrow_583275979e_Prof))
| X2422 = X2423
| X2424 = X2425
| ~ is_Arr723427730le_alt(X2422)
| ~ is_Arr723427730le_alt(X2423)
| ~ is_Arr723427730le_alt(X2424)
| ~ is_Arr723427730le_alt(X2425) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_9_pairwise__neutrality])])])]) ).
fof(i_0_989,plain,
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ) ),
inference(fof_nnf,[status(thm)],[fact_182__096_Ic_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am]) ).
fof(i_0_990,plain,
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ) ),
inference(fof_nnf,[status(thm)],[fact_72__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amk]) ).
fof(i_0_991,plain,
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[fact_14_PW]) ).
fof(i_0_992,plain,
! [X2882] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk27_0),finite354462354e_indi(top_to207207712i_bool)))
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2882),esk27_0))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X2882))),lab)),lba)))) )
& hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk27_0),one_one_nat)))),lab)),lba)))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_862])])])]) ).
fof(i_0_993,plain,
! [X2880] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk26_0),finite354462354e_indi(top_to207207712i_bool)))
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2880),esk26_0))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X2880))),lab)),lba)))) )
& hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk26_0),one_one_nat)))),lab)),lba)))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_227__096EX_An_060N_O_A_IALL_Am_060_061n_O_Ab_A_060_092_060_094bsub_062F_A_I])])])]) ).
fof(i_0_994,plain,
! [X2449,X2450,X2451,X2452,X2453,X2455,X2460] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2450)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2451)))
| is_Arr859726945e_indi(esk9_5(X2449,X2450,X2451,X2452,X2453))
| ~ is_Arr723427730le_alt(X2452)
| ~ is_Arr723427730le_alt(X2453)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2451),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2450),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2449)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2451)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2450)))
| is_Arr859726945e_indi(esk9_5(X2449,X2450,X2451,X2452,X2453))
| ~ is_Arr723427730le_alt(X2452)
| ~ is_Arr723427730le_alt(X2453)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2451),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2450),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2449)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2450)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2451)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_A340536322t_bool(X2450,esk9_5(X2449,X2450,X2451,X2452,X2453))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_A340536322t_bool(X2451,esk9_5(X2449,X2450,X2451,X2452,X2453))))
| ~ is_Arr723427730le_alt(X2452)
| ~ is_Arr723427730le_alt(X2453)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2451),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2450),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2449)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2451)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2450)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_A340536322t_bool(X2450,esk9_5(X2449,X2450,X2451,X2452,X2453))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_A340536322t_bool(X2451,esk9_5(X2449,X2450,X2451,X2452,X2453))))
| ~ is_Arr723427730le_alt(X2452)
| ~ is_Arr723427730le_alt(X2453)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2451),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2450),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2449)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2450)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2451)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_A340536322t_bool(X2450,esk9_5(X2449,X2450,X2451,X2452,X2453))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_A340536322t_bool(X2451,esk9_5(X2449,X2450,X2451,X2452,X2453))))
| ~ is_Arr723427730le_alt(X2452)
| ~ is_Arr723427730le_alt(X2453)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2451),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2450),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2449)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2451)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_f1817389232t_bool(X2449,X2450)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_A340536322t_bool(X2450,esk9_5(X2449,X2450,X2451,X2452,X2453))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2452),X2453)),hAPP_A340536322t_bool(X2451,esk9_5(X2449,X2450,X2451,X2452,X2453))))
| ~ is_Arr723427730le_alt(X2452)
| ~ is_Arr723427730le_alt(X2453)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2451),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2450),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2449)) )
& ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk10_1(X2455)),arrow_583275979e_Prof))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2455)) )
& ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk11_1(X2455)),arrow_583275979e_Prof))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2455)) )
& ( is_Arr723427730le_alt(esk12_1(X2455))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2455)) )
& ( is_Arr723427730le_alt(esk13_1(X2455))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2455)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X2455)),esk13_1(X2455))),hAPP_A340536322t_bool(esk10_1(X2455),X2460)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X2455)),esk13_1(X2455))),hAPP_A340536322t_bool(esk11_1(X2455),X2460)))
| ~ is_Arr859726945e_indi(X2460)
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2455)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X2455)),esk13_1(X2455))),hAPP_A340536322t_bool(esk11_1(X2455),X2460)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X2455)),esk13_1(X2455))),hAPP_A340536322t_bool(esk10_1(X2455),X2460)))
| ~ is_Arr859726945e_indi(X2460)
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2455)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X2455)),esk13_1(X2455))),hAPP_f1817389232t_bool(X2455,esk10_1(X2455))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X2455)),esk13_1(X2455))),hAPP_f1817389232t_bool(X2455,esk11_1(X2455))))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2455)) )
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X2455)),esk13_1(X2455))),hAPP_f1817389232t_bool(X2455,esk10_1(X2455))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X2455)),esk13_1(X2455))),hAPP_f1817389232t_bool(X2455,esk11_1(X2455))))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X2455)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_23_IIA__def])])])])])]) ).
fof(i_0_995,plain,
! [X2414,X2415,X2416,X2417,X2418] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_f1817389232t_bool(f,X2415)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_f1817389232t_bool(f,X2414)))
| is_Arr859726945e_indi(esk3_5(X2414,X2415,X2416,X2417,X2418))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2414),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2415),arrow_583275979e_Prof))
| X2417 = X2416
| X2418 = X2416
| X2417 = X2418
| ~ is_Arr723427730le_alt(X2416)
| ~ is_Arr723427730le_alt(X2417)
| ~ is_Arr723427730le_alt(X2418) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_f1817389232t_bool(f,X2414)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_f1817389232t_bool(f,X2415)))
| is_Arr859726945e_indi(esk3_5(X2414,X2415,X2416,X2417,X2418))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2414),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2415),arrow_583275979e_Prof))
| X2417 = X2416
| X2418 = X2416
| X2417 = X2418
| ~ is_Arr723427730le_alt(X2416)
| ~ is_Arr723427730le_alt(X2417)
| ~ is_Arr723427730le_alt(X2418) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_f1817389232t_bool(f,X2415)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_f1817389232t_bool(f,X2414)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_A340536322t_bool(X2415,esk3_5(X2414,X2415,X2416,X2417,X2418))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_A340536322t_bool(X2414,esk3_5(X2414,X2415,X2416,X2417,X2418))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2414),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2415),arrow_583275979e_Prof))
| X2417 = X2416
| X2418 = X2416
| X2417 = X2418
| ~ is_Arr723427730le_alt(X2416)
| ~ is_Arr723427730le_alt(X2417)
| ~ is_Arr723427730le_alt(X2418) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_f1817389232t_bool(f,X2414)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_f1817389232t_bool(f,X2415)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_A340536322t_bool(X2415,esk3_5(X2414,X2415,X2416,X2417,X2418))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_A340536322t_bool(X2414,esk3_5(X2414,X2415,X2416,X2417,X2418))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2414),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2415),arrow_583275979e_Prof))
| X2417 = X2416
| X2418 = X2416
| X2417 = X2418
| ~ is_Arr723427730le_alt(X2416)
| ~ is_Arr723427730le_alt(X2417)
| ~ is_Arr723427730le_alt(X2418) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_f1817389232t_bool(f,X2415)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_f1817389232t_bool(f,X2414)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_A340536322t_bool(X2415,esk3_5(X2414,X2415,X2416,X2417,X2418))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_A340536322t_bool(X2414,esk3_5(X2414,X2415,X2416,X2417,X2418))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2414),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2415),arrow_583275979e_Prof))
| X2417 = X2416
| X2418 = X2416
| X2417 = X2418
| ~ is_Arr723427730le_alt(X2416)
| ~ is_Arr723427730le_alt(X2417)
| ~ is_Arr723427730le_alt(X2418) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_f1817389232t_bool(f,X2414)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_f1817389232t_bool(f,X2415)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2417),X2418)),hAPP_A340536322t_bool(X2415,esk3_5(X2414,X2415,X2416,X2417,X2418))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2418),X2416)),hAPP_A340536322t_bool(X2414,esk3_5(X2414,X2415,X2416,X2417,X2418))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2414),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2415),arrow_583275979e_Prof))
| X2417 = X2416
| X2418 = X2416
| X2417 = X2418
| ~ is_Arr723427730le_alt(X2416)
| ~ is_Arr723427730le_alt(X2417)
| ~ is_Arr723427730le_alt(X2418) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8__C4_C])])])]) ).
fof(i_0_996,plain,
! [X2521] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2521),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X2521))),lab)),lba)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_84_n_I2_J])]) ).
fof(i_0_997,plain,
! [X2517] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X2517))),lab)),lba)),arrow_583275979e_Prof)),
inference(variable_rename,[status(thm)],[fact_80_PiProf]) ).
fof(i_0_998,plain,
! [X2427,X2428,X2429,X2430] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_f1817389232t_bool(f,X2428)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_f1817389232t_bool(f,X2427)))
| is_Arr859726945e_indi(esk5_4(X2427,X2428,X2429,X2430))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2427),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2428),arrow_583275979e_Prof))
| X2429 = X2430
| ~ is_Arr723427730le_alt(X2429)
| ~ is_Arr723427730le_alt(X2430) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_f1817389232t_bool(f,X2427)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_f1817389232t_bool(f,X2428)))
| is_Arr859726945e_indi(esk5_4(X2427,X2428,X2429,X2430))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2427),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2428),arrow_583275979e_Prof))
| X2429 = X2430
| ~ is_Arr723427730le_alt(X2429)
| ~ is_Arr723427730le_alt(X2430) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_f1817389232t_bool(f,X2428)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_f1817389232t_bool(f,X2427)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_A340536322t_bool(X2428,esk5_4(X2427,X2428,X2429,X2430))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_A340536322t_bool(X2427,esk5_4(X2427,X2428,X2429,X2430))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2427),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2428),arrow_583275979e_Prof))
| X2429 = X2430
| ~ is_Arr723427730le_alt(X2429)
| ~ is_Arr723427730le_alt(X2430) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_f1817389232t_bool(f,X2427)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_f1817389232t_bool(f,X2428)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_A340536322t_bool(X2428,esk5_4(X2427,X2428,X2429,X2430))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_A340536322t_bool(X2427,esk5_4(X2427,X2428,X2429,X2430))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2427),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2428),arrow_583275979e_Prof))
| X2429 = X2430
| ~ is_Arr723427730le_alt(X2429)
| ~ is_Arr723427730le_alt(X2430) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_f1817389232t_bool(f,X2428)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_f1817389232t_bool(f,X2427)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_A340536322t_bool(X2428,esk5_4(X2427,X2428,X2429,X2430))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_A340536322t_bool(X2427,esk5_4(X2427,X2428,X2429,X2430))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2427),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2428),arrow_583275979e_Prof))
| X2429 = X2430
| ~ is_Arr723427730le_alt(X2429)
| ~ is_Arr723427730le_alt(X2430) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_f1817389232t_bool(f,X2427)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_f1817389232t_bool(f,X2428)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2429),X2430)),hAPP_A340536322t_bool(X2428,esk5_4(X2427,X2428,X2429,X2430))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2430),X2429)),hAPP_A340536322t_bool(X2427,esk5_4(X2427,X2428,X2429,X2430))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2427),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2428),arrow_583275979e_Prof))
| X2429 = X2430
| ~ is_Arr723427730le_alt(X2429)
| ~ is_Arr723427730le_alt(X2430) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_10__C3_C])])])]) ).
fof(i_0_999,plain,
! [X3318,X3319] :
( ( ~ hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X3318)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X3319)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3318),X3319)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3318),X3319))
| hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X3318)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X3319))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_405_pred__subset__eq2])]) ).
fof(i_0_1000,plain,
! [X2730] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| hAPP_A1895296483di_nat(h,X2730) != n
| hAPP_A1895296483di_nat(h,X2730) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hAPP_A1895296483di_nat(h,X2730) != n
| hAPP_A1895296483di_nat(h,X2730) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| hAPP_A1895296483di_nat(h,X2730) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| hAPP_A1895296483di_nat(h,X2730) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| hAPP_A1895296483di_nat(h,X2730) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hAPP_A1895296483di_nat(h,X2730) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| hAPP_A1895296483di_nat(h,X2730) != n
| hAPP_A1895296483di_nat(h,X2730) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hAPP_A1895296483di_nat(h,X2730) != n
| hAPP_A1895296483di_nat(h,X2730) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| hAPP_A1895296483di_nat(h,X2730) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| hAPP_A1895296483di_nat(h,X2730) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| hAPP_A1895296483di_nat(h,X2730) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hAPP_A1895296483di_nat(h,X2730) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
& ( hAPP_A1895296483di_nat(h,X2730) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
& ( hAPP_A1895296483di_nat(h,X2730) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
& ( hAPP_A1895296483di_nat(h,X2730) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
& ( hAPP_A1895296483di_nat(h,X2730) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
& ( hAPP_A1895296483di_nat(h,X2730) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
& ( hAPP_A1895296483di_nat(h,X2730) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2730)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
& ( hAPP_A1895296483di_nat(h,X2730) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2730)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) )
& ( hAPP_A1895296483di_nat(h,X2730) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2730)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2730)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_863])])]) ).
fof(i_0_1001,plain,
! [X2461,X2462,X2463,X2464,X2466,X2470] :
( ( is_Arr859726945e_indi(esk14_4(X2461,X2462,X2463,X2464))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2463),X2464)),hAPP_f1817389232t_bool(X2461,X2462)))
| ~ is_Arr723427730le_alt(X2463)
| ~ is_Arr723427730le_alt(X2464)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2462),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X2461)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2463),X2464)),hAPP_A340536322t_bool(X2462,esk14_4(X2461,X2462,X2463,X2464))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2463),X2464)),hAPP_f1817389232t_bool(X2461,X2462)))
| ~ is_Arr723427730le_alt(X2463)
| ~ is_Arr723427730le_alt(X2464)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2462),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X2461)) )
& ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk15_1(X2466)),arrow_583275979e_Prof))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X2466)) )
& ( is_Arr723427730le_alt(esk16_1(X2466))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X2466)) )
& ( is_Arr723427730le_alt(esk17_1(X2466))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X2466)) )
& ( ~ is_Arr859726945e_indi(X2470)
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X2466)),esk17_1(X2466))),hAPP_A340536322t_bool(esk15_1(X2466),X2470)))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X2466)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X2466)),esk17_1(X2466))),hAPP_f1817389232t_bool(X2466,esk15_1(X2466))))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X2466)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_24_unanimity__def])])])])])]) ).
fof(i_0_1002,plain,
! [X2432] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2432)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( hAPP_A1895296483di_nat(h,X2432) != n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2432)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( hAPP_A1895296483di_nat(h,X2432) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2432)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( hAPP_A1895296483di_nat(h,X2432) != n
| hAPP_A1895296483di_nat(h,X2432) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2432)),e)))
| hAPP_A1895296483di_nat(h,X2432) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( hAPP_A1895296483di_nat(h,X2432) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2432)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2432)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2432)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X2432)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2432)),e)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( hAPP_A1895296483di_nat(h,X2432) != n
| hAPP_A1895296483di_nat(h,X2432) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2432)),e)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2432)),e)))
| hAPP_A1895296483di_nat(h,X2432) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2432)),e)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( hAPP_A1895296483di_nat(h,X2432) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2432)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2432)),e)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X2432)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X2432)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X2432)),e)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X2432))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_864])])]) ).
fof(i_0_1003,plain,
! [X3795,X3796,X3797,X3798] :
( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3797),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3796),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X3795,X3796,X3797,X3798)),X3798)) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3796),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3797),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X3795,X3796,X3797,X3798)),X3798)) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3797),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3796),pi_Pro1873779901t_bool(X3798,X3795)))
| ~ hBOOL(hAPP_P1813625415t_bool(X3797,esk64_4(X3795,X3796,X3797,X3798)))
| ~ hBOOL(hAPP_P1813625415t_bool(X3796,esk64_4(X3795,X3796,X3797,X3798))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3796),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3797),pi_Pro1873779901t_bool(X3798,X3795)))
| ~ hBOOL(hAPP_P1813625415t_bool(X3797,esk64_4(X3795,X3796,X3797,X3798)))
| ~ hBOOL(hAPP_P1813625415t_bool(X3796,esk64_4(X3795,X3796,X3797,X3798))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3797),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3796),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_P1813625415t_bool(X3797,esk64_4(X3795,X3796,X3797,X3798)))
| hBOOL(hAPP_P1813625415t_bool(X3796,esk64_4(X3795,X3796,X3797,X3798))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3796),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3797),pi_Pro1873779901t_bool(X3798,X3795)))
| hBOOL(hAPP_P1813625415t_bool(X3797,esk64_4(X3795,X3796,X3797,X3798)))
| hBOOL(hAPP_P1813625415t_bool(X3796,esk64_4(X3795,X3796,X3797,X3798))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_580_Pi__cong])])])]) ).
fof(i_0_1004,plain,
! [X3755,X3756,X3757] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk56_3(X3755,X3756,X3757)),esk57_3(X3755,X3756,X3757)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X3757,X3755)),X3756)),hAPP_nat_nat(X3757,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3755),X3756)))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X3757,esk56_3(X3755,X3756,X3757))),hAPP_nat_nat(X3757,esk57_3(X3755,X3756,X3757))))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X3757,X3755)),X3756)),hAPP_nat_nat(X3757,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3755),X3756)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_568_mono__nat__linear__lb])])])]) ).
fof(i_0_1005,plain,
! [X2724,X2725,X2728,X2729] :
( ( is_Arr723427730le_alt(esk20_2(X2724,X2725))
| X2725 = X2724
| ~ is_fun20916972t_bool(X2724)
| ~ is_fun20916972t_bool(X2725) )
& ( is_Arr723427730le_alt(esk21_2(X2724,X2725))
| X2725 = X2724
| ~ is_fun20916972t_bool(X2724)
| ~ is_fun20916972t_bool(X2725) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2724,X2725)),esk21_2(X2724,X2725))),X2725))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2724,X2725)),esk21_2(X2724,X2725))),X2724))
| X2725 = X2724
| ~ is_fun20916972t_bool(X2724)
| ~ is_fun20916972t_bool(X2725) )
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2724,X2725)),esk21_2(X2724,X2725))),X2725))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X2724,X2725)),esk21_2(X2724,X2725))),X2724))
| X2725 = X2724
| ~ is_fun20916972t_bool(X2724)
| ~ is_fun20916972t_bool(X2725) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2728),X2729)),X2725))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2728),X2729)),X2724))
| ~ is_Arr723427730le_alt(X2728)
| ~ is_Arr723427730le_alt(X2729)
| X2725 != X2724
| ~ is_fun20916972t_bool(X2724)
| ~ is_fun20916972t_bool(X2725) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2728),X2729)),X2724))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2728),X2729)),X2725))
| ~ is_Arr723427730le_alt(X2728)
| ~ is_Arr723427730le_alt(X2729)
| X2725 != X2724
| ~ is_fun20916972t_bool(X2724)
| ~ is_fun20916972t_bool(X2725) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_180_pred__equals__eq2])])])])]) ).
cnf(i_0_1006,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]) ).
fof(i_0_1007,plain,
! [X3760,X3761,X3762] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk58_3(X3760,X3761,X3762)),esk59_3(X3760,X3761,X3762)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3760),X3761))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X3762,X3760)),hAPP_nat_nat(X3762,X3761))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X3762,esk58_3(X3760,X3761,X3762))),hAPP_nat_nat(X3762,esk59_3(X3760,X3761,X3762))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3760),X3761))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X3762,X3760)),hAPP_nat_nat(X3762,X3761))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_569_less__mono__imp__le__mono])])])]) ).
cnf(i_0_1008,plain,
( hAPP_nat_nat(suc,finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2)))))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_866]) ).
cnf(i_0_1009,plain,
collect_nat(X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_867]) ).
fof(i_0_1010,plain,
! [X3567,X3568,X3569] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk44_3(X3567,X3568,X3569)),X3569))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X3569,X3567)),pi_Pro1873779901t_bool(X3569,X3568))) )
& ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X3567,esk44_3(X3567,X3568,X3569))),hAPP_P1122857141l_bool(X3568,esk44_3(X3567,X3568,X3569))))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X3569,X3567)),pi_Pro1873779901t_bool(X3569,X3568))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_501_Pi__mono])])])]) ).
fof(i_0_1011,plain,
! [X3575,X3576,X3577] :
( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk46_3(X3575,X3576,X3577)),X3577))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X3577,X3575)),pi_fun1555365306t_bool(X3577,X3576))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X3575,esk46_3(X3575,X3576,X3577))),hAPP_f1895971544l_bool(X3576,esk46_3(X3575,X3576,X3577))))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X3577,X3575)),pi_fun1555365306t_bool(X3577,X3576))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_503_Pi__mono])])])]) ).
fof(i_0_1012,plain,
! [X3571,X3572,X3573] :
( ( is_Arr859726945e_indi(esk45_3(X3571,X3572,X3573))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X3573,X3571)),pi_Arr1801471756t_bool(X3573,X3572))) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk45_3(X3571,X3572,X3573)),X3573))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X3573,X3571)),pi_Arr1801471756t_bool(X3573,X3572))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X3571,esk45_3(X3571,X3572,X3573))),hAPP_A659996934l_bool(X3572,esk45_3(X3571,X3572,X3573))))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X3573,X3571)),pi_Arr1801471756t_bool(X3573,X3572))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_502_Pi__mono])])])]) ).
fof(i_0_1013,plain,
! [X2719,X2720,X2721,X2722,X2723] :
( ( X2719 != X2720
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2719 != X2723
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2722),X2720)),X2721))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2720 != X2723
| X2719 = X2722
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2722)),X2721))
| X2719 = X2723
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2720 = X2723
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),X2721))
| X2719 = X2723
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2719 != X2723
| X2719 = X2723
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2720 != X2723
| X2720 = X2723
| X2719 = X2723
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),X2721))
| X2720 = X2723
| X2719 = X2723
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2720 != X2723
| X2719 != X2722
| X2719 = X2723
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),X2721))
| X2719 != X2722
| X2719 = X2723
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2720 != X2723
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2722)),X2721))
| X2719 = X2723
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),X2721))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2722)),X2721))
| X2719 = X2723
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2719 != X2723
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2722),X2720)),X2721))
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2720 != X2723
| X2720 = X2723
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2722),X2720)),X2721))
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),X2721))
| X2720 = X2723
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2722),X2720)),X2721))
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2720 != X2723
| X2719 != X2722
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2722),X2720)),X2721))
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),X2721))
| X2719 != X2722
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2722),X2720)),X2721))
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( X2720 != X2723
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2722)),X2721))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2722),X2720)),X2721))
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),X2721))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2722)),X2721))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2722),X2720)),X2721))
| X2719 = X2720
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2719),X2720)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2721),X2722),X2723)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2721),arrow_912654623le_Lin))
| X2722 = X2723
| ~ is_Arr723427730le_alt(X2719)
| ~ is_Arr723427730le_alt(X2720)
| ~ is_Arr723427730le_alt(X2722)
| ~ is_Arr723427730le_alt(X2723) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_179_in__above])])]) ).
fof(i_0_1014,plain,
! [X3810,X3811,X3812] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk67_3(X3810,X3811,X3812)),X3812))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3810),pi_Pro1873779901t_bool(X3812,X3811))) )
& ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3810,esk67_3(X3810,X3811,X3812))),hAPP_P1122857141l_bool(X3811,esk67_3(X3810,X3811,X3812))))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3810),pi_Pro1873779901t_bool(X3812,X3811))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_583_Pi__I_H])])])]) ).
fof(i_0_1015,plain,
! [X3270,X3271,X3272] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk34_3(X3270,X3271,X3272)),X3272))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3270),pi_Pro1873779901t_bool(X3272,X3271))) )
& ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3270,esk34_3(X3270,X3271,X3272))),hAPP_P1122857141l_bool(X3271,esk34_3(X3270,X3271,X3272))))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3270),pi_Pro1873779901t_bool(X3272,X3271))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_389_Pi__I])])])]) ).
fof(i_0_1016,plain,
! [X3818,X3819,X3820] :
( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk69_3(X3818,X3819,X3820)),X3820))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3818),pi_fun1555365306t_bool(X3820,X3819))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3818,esk69_3(X3818,X3819,X3820))),hAPP_f1895971544l_bool(X3819,esk69_3(X3818,X3819,X3820))))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3818),pi_fun1555365306t_bool(X3820,X3819))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_585_Pi__I_H])])])]) ).
fof(i_0_1017,plain,
! [X3278,X3279,X3280] :
( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk36_3(X3278,X3279,X3280)),X3280))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3278),pi_fun1555365306t_bool(X3280,X3279))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3278,esk36_3(X3278,X3279,X3280))),hAPP_f1895971544l_bool(X3279,esk36_3(X3278,X3279,X3280))))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3278),pi_fun1555365306t_bool(X3280,X3279))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_391_Pi__I])])])]) ).
fof(i_0_1018,plain,
! [X3814,X3815,X3816] :
( ( is_Arr859726945e_indi(esk68_3(X3814,X3815,X3816))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3814),pi_Arr1801471756t_bool(X3816,X3815))) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk68_3(X3814,X3815,X3816)),X3816))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3814),pi_Arr1801471756t_bool(X3816,X3815))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3814,esk68_3(X3814,X3815,X3816))),hAPP_A659996934l_bool(X3815,esk68_3(X3814,X3815,X3816))))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3814),pi_Arr1801471756t_bool(X3816,X3815))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_584_Pi__I_H])])])]) ).
fof(i_0_1019,plain,
! [X3274,X3275,X3276] :
( ( is_Arr859726945e_indi(esk35_3(X3274,X3275,X3276))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3274),pi_Arr1801471756t_bool(X3276,X3275))) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk35_3(X3274,X3275,X3276)),X3276))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3274),pi_Arr1801471756t_bool(X3276,X3275))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3274,esk35_3(X3274,X3275,X3276))),hAPP_A659996934l_bool(X3275,esk35_3(X3274,X3275,X3276))))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3274),pi_Arr1801471756t_bool(X3276,X3275))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_390_Pi__I])])])]) ).
fof(i_0_1020,plain,
! [X3636,X3637,X3638,X3639,X3640] :
( ( X3636 != X3637
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3637 != X3639
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3640)),X3638))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3636 != X3639
| X3637 = X3640
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3640),X3637)),X3638))
| X3637 = X3639
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3636 = X3639
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),X3638))
| X3637 = X3639
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3637 != X3639
| X3637 = X3639
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3636 != X3639
| X3636 = X3639
| X3637 = X3639
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),X3638))
| X3636 = X3639
| X3637 = X3639
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3636 != X3639
| X3637 != X3640
| X3637 = X3639
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),X3638))
| X3637 != X3640
| X3637 = X3639
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3636 != X3639
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3640),X3637)),X3638))
| X3637 = X3639
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),X3638))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3640),X3637)),X3638))
| X3637 = X3639
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3637 != X3639
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3640)),X3638))
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3636 != X3639
| X3636 = X3639
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3640)),X3638))
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),X3638))
| X3636 = X3639
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3640)),X3638))
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3636 != X3639
| X3637 != X3640
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3640)),X3638))
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),X3638))
| X3637 != X3640
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3640)),X3638))
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( X3636 != X3639
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3640),X3637)),X3638))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3640)),X3638))
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),X3638))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3640),X3637)),X3638))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3640)),X3638))
| X3636 = X3637
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3636),X3637)),arrow_207701375_below(X3638,X3639,X3640)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3638),arrow_912654623le_Lin))
| X3639 = X3640
| ~ is_Arr723427730le_alt(X3636)
| ~ is_Arr723427730le_alt(X3637)
| ~ is_Arr723427730le_alt(X3639)
| ~ is_Arr723427730le_alt(X3640) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_523_in__below])])]) ).
fof(i_0_1021,plain,
! [X3805,X3806,X3807,X3808] :
( ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3806),pi_fun1555365306t_bool(X3808,X3805)))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3807),pi_fun1555365306t_bool(X3808,X3805)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X3805,X3806,X3807,X3808)),X3808)) )
& ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3807),pi_fun1555365306t_bool(X3808,X3805)))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3806),pi_fun1555365306t_bool(X3808,X3805)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X3805,X3806,X3807,X3808)),X3808)) )
& ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3806),pi_fun1555365306t_bool(X3808,X3805)))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3807),pi_fun1555365306t_bool(X3808,X3805)))
| hAPP_f1817389232t_bool(X3806,esk66_4(X3805,X3806,X3807,X3808)) != hAPP_f1817389232t_bool(X3807,esk66_4(X3805,X3806,X3807,X3808)) )
& ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3807),pi_fun1555365306t_bool(X3808,X3805)))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3806),pi_fun1555365306t_bool(X3808,X3805)))
| hAPP_f1817389232t_bool(X3806,esk66_4(X3805,X3806,X3807,X3808)) != hAPP_f1817389232t_bool(X3807,esk66_4(X3805,X3806,X3807,X3808)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_582_Pi__cong])])])]) ).
fof(i_0_1022,plain,
! [X3800,X3801,X3802,X3803] :
( ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3801),pi_Arr1801471756t_bool(X3803,X3800)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3802),pi_Arr1801471756t_bool(X3803,X3800)))
| is_Arr859726945e_indi(esk65_4(X3800,X3801,X3802,X3803)) )
& ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3802),pi_Arr1801471756t_bool(X3803,X3800)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3801),pi_Arr1801471756t_bool(X3803,X3800)))
| is_Arr859726945e_indi(esk65_4(X3800,X3801,X3802,X3803)) )
& ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3801),pi_Arr1801471756t_bool(X3803,X3800)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3802),pi_Arr1801471756t_bool(X3803,X3800)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X3800,X3801,X3802,X3803)),X3803)) )
& ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3802),pi_Arr1801471756t_bool(X3803,X3800)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3801),pi_Arr1801471756t_bool(X3803,X3800)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X3800,X3801,X3802,X3803)),X3803)) )
& ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3801),pi_Arr1801471756t_bool(X3803,X3800)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3802),pi_Arr1801471756t_bool(X3803,X3800)))
| hAPP_A340536322t_bool(X3801,esk65_4(X3800,X3801,X3802,X3803)) != hAPP_A340536322t_bool(X3802,esk65_4(X3800,X3801,X3802,X3803)) )
& ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3802),pi_Arr1801471756t_bool(X3803,X3800)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3801),pi_Arr1801471756t_bool(X3803,X3800)))
| hAPP_A340536322t_bool(X3801,esk65_4(X3800,X3801,X3802,X3803)) != hAPP_A340536322t_bool(X3802,esk65_4(X3800,X3801,X3802,X3803)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_581_Pi__cong])])])]) ).
fof(i_0_1023,plain,
! [X2741,X2742] :
( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk22_2(X2741,X2742)),arrow_583275979e_Prof))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2742),X2741))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2742),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
& ( is_Arr723427730le_alt(esk23_2(X2741,X2742))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2742),X2741))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2742),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
& ( is_Arr723427730le_alt(esk24_2(X2741,X2742))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2742),X2741))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2742),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
& ( esk23_2(X2741,X2742) != esk24_2(X2741,X2742)
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2742),X2741))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2742),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X2741,X2742)),esk24_2(X2741,X2742))),hAPP_A340536322t_bool(esk22_2(X2741,X2742),X2741)))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2742),X2741))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2742),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X2741,X2742)),esk24_2(X2741,X2742))),hAPP_f1817389232t_bool(X2742,esk22_2(X2741,X2742))))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2742),X2741))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2742),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_188_dictatorI])])])]) ).
cnf(i_0_1024,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]) ).
fof(i_0_1025,plain,
! [X3782,X3783,X3784] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk60_3(X3782,X3783,X3784)),X3784))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3782),pi_Pro1873779901t_bool(X3784,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3783)))) )
& ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3782,esk60_3(X3782,X3783,X3784))),X3783))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3782),pi_Pro1873779901t_bool(X3784,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3783)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_576_funcsetI])])])]) ).
fof(i_0_1026,plain,
! [X3790,X3791,X3792] :
( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk62_3(X3790,X3791,X3792)),X3792))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3790),pi_fun1555365306t_bool(X3792,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3791)))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3790,esk62_3(X3790,X3791,X3792))),X3791))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3790),pi_fun1555365306t_bool(X3792,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3791)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_578_funcsetI])])])]) ).
fof(i_0_1027,plain,
! [X3786,X3787,X3788] :
( ( is_Arr859726945e_indi(esk61_3(X3786,X3787,X3788))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3786),pi_Arr1801471756t_bool(X3788,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3787)))) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk61_3(X3786,X3787,X3788)),X3788))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3786),pi_Arr1801471756t_bool(X3788,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3787)))) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3786,esk61_3(X3786,X3787,X3788))),X3787))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3786),pi_Arr1801471756t_bool(X3788,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3787)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_577_funcsetI])])])]) ).
cnf(i_0_1028,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
inference(split_conjunct,[status(thm)],[i_0_865]) ).
cnf(i_0_1029,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1))
| finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2)))) = finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))) ),
inference(split_conjunct,[status(thm)],[i_0_868]) ).
cnf(i_0_1030,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]) ).
cnf(i_0_1031,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]) ).
cnf(i_0_1032,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_865]) ).
cnf(i_0_1033,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
inference(split_conjunct,[status(thm)],[i_0_865]) ).
fof(i_0_1034,plain,
! [X2522,X2523,X2524] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2522),X2523)),X2524))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2523),X2522)),X2524))
| X2522 = X2523
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2524),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X2522)
| ~ is_Arr723427730le_alt(X2523) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2523),X2522)),X2524))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2522),X2523)),X2524))
| X2522 = X2523
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2524),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X2522)
| ~ is_Arr723427730le_alt(X2523) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_869])])]) ).
fof(i_0_1035,plain,
! [X2525,X2526,X2527] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2527),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2525),X2526)),X2527))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2526),X2525)),X2527)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_870])]) ).
fof(i_0_1036,plain,
! [X2392,X2393,X2394,X2395] :
( ( X2393 != X2395
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X2394),X2395)))
| ~ is_Arr723427730le_alt(X2392)
| ~ is_Arr723427730le_alt(X2393)
| ~ is_Arr723427730le_alt(X2395) )
& ( X2392 != X2395
| X2392 != X2393
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X2394),X2395)))
| ~ is_Arr723427730le_alt(X2392)
| ~ is_Arr723427730le_alt(X2393)
| ~ is_Arr723427730le_alt(X2395) )
& ( X2392 = X2395
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),X2394))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X2394),X2395)))
| ~ is_Arr723427730le_alt(X2392)
| ~ is_Arr723427730le_alt(X2393)
| ~ is_Arr723427730le_alt(X2395) )
& ( X2392 != X2395
| X2392 = X2395
| X2393 = X2395
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X2394),X2395)))
| ~ is_Arr723427730le_alt(X2392)
| ~ is_Arr723427730le_alt(X2393)
| ~ is_Arr723427730le_alt(X2395) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),X2394))
| X2392 = X2395
| X2393 = X2395
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X2394),X2395)))
| ~ is_Arr723427730le_alt(X2392)
| ~ is_Arr723427730le_alt(X2393)
| ~ is_Arr723427730le_alt(X2395) )
& ( X2392 != X2395
| X2392 = X2393
| X2393 = X2395
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X2394),X2395)))
| ~ is_Arr723427730le_alt(X2392)
| ~ is_Arr723427730le_alt(X2393)
| ~ is_Arr723427730le_alt(X2395) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),X2394))
| X2392 = X2393
| X2393 = X2395
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2392),X2393)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X2394),X2395)))
| ~ is_Arr723427730le_alt(X2392)
| ~ is_Arr723427730le_alt(X2393)
| ~ is_Arr723427730le_alt(X2395) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_in__mkbot])])]) ).
fof(i_0_1037,plain,
! [X2396,X2397,X2398,X2399] :
( ( X2396 != X2399
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X2398),X2399)))
| ~ is_Arr723427730le_alt(X2396)
| ~ is_Arr723427730le_alt(X2397)
| ~ is_Arr723427730le_alt(X2399) )
& ( X2397 != X2399
| X2396 != X2397
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X2398),X2399)))
| ~ is_Arr723427730le_alt(X2396)
| ~ is_Arr723427730le_alt(X2397)
| ~ is_Arr723427730le_alt(X2399) )
& ( X2397 = X2399
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),X2398))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X2398),X2399)))
| ~ is_Arr723427730le_alt(X2396)
| ~ is_Arr723427730le_alt(X2397)
| ~ is_Arr723427730le_alt(X2399) )
& ( X2397 != X2399
| X2397 = X2399
| X2396 = X2399
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X2398),X2399)))
| ~ is_Arr723427730le_alt(X2396)
| ~ is_Arr723427730le_alt(X2397)
| ~ is_Arr723427730le_alt(X2399) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),X2398))
| X2397 = X2399
| X2396 = X2399
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X2398),X2399)))
| ~ is_Arr723427730le_alt(X2396)
| ~ is_Arr723427730le_alt(X2397)
| ~ is_Arr723427730le_alt(X2399) )
& ( X2397 != X2399
| X2396 = X2397
| X2396 = X2399
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X2398),X2399)))
| ~ is_Arr723427730le_alt(X2396)
| ~ is_Arr723427730le_alt(X2397)
| ~ is_Arr723427730le_alt(X2399) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),X2398))
| X2396 = X2397
| X2396 = X2399
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2396),X2397)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X2398),X2399)))
| ~ is_Arr723427730le_alt(X2396)
| ~ is_Arr723427730le_alt(X2397)
| ~ is_Arr723427730le_alt(X2399) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_5_in__mktop])])]) ).
cnf(i_0_1038,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1))
| finite_card_nat(collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_871]) ).
cnf(i_0_1039,plain,
( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X2)),X1))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk80_2(X1,X2)),hAPP_nat_nat(X2,esk80_2(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_872]) ).
fof(i_0_1040,plain,
! [X3396,X3397] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X3396,esk43_2(X3396,X3397))),hAPP_nat_bool(X3397,esk43_2(X3396,X3397))))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3396),X3397)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_436_le__funI])])]) ).
fof(i_0_1041,plain,
! [X2977,X2978,X2979,X2980,X2981] :
( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2977),X2978))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X2977,X2979)),hAPP_nat_bool(X2978,X2979))) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X2980,esk28_2(X2980,X2981))),hAPP_nat_bool(X2981,esk28_2(X2980,X2981))))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2980),X2981)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_266_le__fun__def])])])])]) ).
fof(i_0_1042,plain,
! [X3869,X3870,X3871,X3872] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3870),pi_fun1555365306t_bool(X3871,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3872))))
| ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3870),X3871))
| ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3869),pi_fun328162388t_bool(X3872,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X3871))))
| ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3869),X3872))
| ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X3871))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3872))
| finite1524925796t_bool(X3871) = finite945540987t_bool(X3872) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_600_card__bij])]) ).
fof(i_0_1043,plain,
! [X3857,X3858,X3859,X3860] :
( ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X3858),pi_fun328162388t_bool(X3859,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X3860))))
| ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X3858),X3859))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3857),pi_fun1555365306t_bool(X3860,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3859))))
| ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3857),X3860))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3859))
| ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X3860))
| finite945540987t_bool(X3859) = finite1524925796t_bool(X3860) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_597_card__bij])]) ).
fof(i_0_1044,plain,
! [X3853,X3854,X3855,X3856] :
( ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3854),pi_fun596906370e_indi(X3855,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X3856))))
| ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3854),X3855))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3853),pi_Arr1801471756t_bool(X3856,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3855))))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3853),X3856))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3855))
| ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X3856))
| finite945540987t_bool(X3855) = finite354462354e_indi(X3856) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_596_card__bij])]) ).
fof(i_0_1045,plain,
! [X3865,X3866,X3867,X3868] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3866),pi_Arr1801471756t_bool(X3867,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3868))))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3866),X3867))
| ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X3865),pi_fun596906370e_indi(X3868,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X3867))))
| ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X3865),X3868))
| ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X3867))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3868))
| finite354462354e_indi(X3867) = finite945540987t_bool(X3868) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_599_card__bij])]) ).
fof(i_0_1046,plain,
! [X3861,X3862,X3863,X3864] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3862),pi_Pro1873779901t_bool(X3863,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3864))))
| ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X3862),X3863))
| ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X3861),pi_boo1542163389le_alt(X3864,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X3863))))
| ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X3861),X3864))
| ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X3863))
| ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X3864))
| finite1044330389le_alt(X3863) = finite_card_bool(X3864) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_598_card__bij])]) ).
fof(i_0_1047,plain,
! [X2532,X2533,X2534] :
( ~ is_Arr723427730le_alt(X2533)
| ~ is_Arr723427730le_alt(X2534)
| X2533 = X2534
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2532),arrow_912654623le_Lin))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X2532),X2533),X2534)),arrow_912654623le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_89_above__Lin])]) ).
fof(i_0_1048,plain,
! [X4064,X4065] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X4064),hAPP_n1699378549t_bool(ord_at4362885an_nat(X4065),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4065),finite_card_nat(X4064)))))
| X4064 = hAPP_n1699378549t_bool(ord_at4362885an_nat(X4065),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4065),finite_card_nat(X4064))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_699_subset__card__intvl__is__intvl])]) ).
fof(i_0_1049,plain,
! [X3371,X3372,X3373] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3371),X3372)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3373),X3372)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3371),X3373)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3371),X3373))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3371),X3372)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3373),X3372))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_428_add__le__cancel__right])]) ).
fof(i_0_1050,plain,
! [X3355,X3356,X3357] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3355),X3356)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3357),X3356)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3355),X3357)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_423_add__le__imp__le__right])]) ).
fof(i_0_1051,plain,
! [X3739,X3740,X3741] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3739),X3740)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3739),X3741)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3740),X3741)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3740),X3741))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3739),X3740)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3739),X3741))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_563_nat__add__left__cancel__le])]) ).
fof(i_0_1052,plain,
! [X3368,X3369,X3370] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3368),X3369)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3368),X3370)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3369),X3370)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3369),X3370))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3368),X3369)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3368),X3370))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_427_add__le__cancel__left])]) ).
fof(i_0_1053,plain,
! [X3352,X3353,X3354] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3352),X3353)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3352),X3354)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3353),X3354)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_422_add__le__imp__le__left])]) ).
fof(i_0_1054,plain,
! [X3393,X3394,X3395] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3393),X3394)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3395),X3394)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3393),X3395)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3393),X3395))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3393),X3394)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3395),X3394))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_435_add__less__cancel__right])]) ).
fof(i_0_1055,plain,
! [X3377,X3378,X3379] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3377),X3378)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3379),X3378)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3377),X3379)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_430_add__less__imp__less__right])]) ).
fof(i_0_1056,plain,
! [X3696,X3697,X3698] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3696),X3697)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3696),X3698)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3697),X3698)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3697),X3698))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3696),X3697)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3696),X3698))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_548_nat__add__left__cancel__less])]) ).
fof(i_0_1057,plain,
! [X3390,X3391,X3392] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3390),X3391)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3390),X3392)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3391),X3392)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3391),X3392))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3390),X3391)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3390),X3392))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_434_add__less__cancel__left])]) ).
fof(i_0_1058,plain,
! [X3374,X3375,X3376] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3374),X3375)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3374),X3376)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3375),X3376)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_429_add__less__imp__less__left])]) ).
fof(i_0_1059,plain,
! [X3565,X3566] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X3565)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X3566)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3565),X3566)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3565),X3566))
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X3565)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X3566))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_500_pred__subset__eq])]) ).
fof(i_0_1060,plain,
! [X3559,X3560] :
( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X3559)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X3560)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3559),X3560)) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3559),X3560))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X3559)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X3560))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_497_pred__subset__eq])]) ).
fof(i_0_1061,plain,
! [X3561,X3562] :
( ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X3561)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X3562)))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3561),X3562)) )
& ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3561),X3562))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X3561)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X3562))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_498_pred__subset__eq])]) ).
fof(i_0_1062,plain,
! [X3563,X3564] :
( ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X3563)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X3564)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3563),X3564)) )
& ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3563),X3564))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X3563)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X3564))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_499_pred__subset__eq])]) ).
fof(i_0_1063,plain,
! [X3553,X3554] :
( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X3553)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X3554)))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3553),X3554)) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3553),X3554))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X3553)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X3554))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_494_pred__subset__eq])]) ).
fof(i_0_1064,plain,
! [X3557,X3558] :
( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X3557)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X3558)))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3557),X3558)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3557),X3558))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X3557)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X3558))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_496_pred__subset__eq])]) ).
fof(i_0_1065,plain,
! [X3551,X3552] :
( ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X3551)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X3552)))
| hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3551),X3552)) )
& ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3551),X3552))
| hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X3551)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X3552))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_493_pred__subset__eq])]) ).
fof(i_0_1066,plain,
! [X3555,X3556] :
( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X3555)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X3556)))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3555),X3556)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3555),X3556))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X3555)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X3556))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_495_pred__subset__eq])]) ).
fof(i_0_1067,plain,
! [X3751,X3752,X3753,X3754] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3753),X3754))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3751),X3752))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3753),X3751)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3754),X3752))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_567_add__le__mono])]) ).
fof(i_0_1068,plain,
! [X3358,X3359,X3360,X3361] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3360),X3361))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3358),X3359))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3360),X3358)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3361),X3359))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_424_add__mono])]) ).
fof(i_0_1069,plain,
! [X3289,X3290,X3291,X3292] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3291),X3292))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3289),X3290))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3291),X3289)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3292),X3290))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_395_add__less__le__mono])]) ).
fof(i_0_1070,plain,
! [X3293,X3294,X3295,X3296] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3295),X3296))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3293),X3294))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3295),X3293)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3296),X3294))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_396_add__le__less__mono])]) ).
fof(i_0_1071,plain,
! [X3708,X3709,X3710,X3711] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3710),X3711))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3708),X3709))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3710),X3708)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3711),X3709))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_552_add__less__mono])]) ).
fof(i_0_1072,plain,
! [X3380,X3381,X3382,X3383] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3382),X3383))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3380),X3381))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3382),X3380)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3383),X3381))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_431_add__strict__mono])]) ).
fof(i_0_1073,plain,
! [X4031,X4032,X4033] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk88_3(X4031,X4032,X4033)),X4033))
| hBOOL(hAPP_nat_bool(X4031,X4032))
| ~ hBOOL(hAPP_nat_bool(X4031,X4033))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4032),X4033)) )
& ( hBOOL(hAPP_nat_bool(X4031,hAPP_nat_nat(suc,esk88_3(X4031,X4032,X4033))))
| hBOOL(hAPP_nat_bool(X4031,X4032))
| ~ hBOOL(hAPP_nat_bool(X4031,X4033))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4032),X4033)) )
& ( ~ hBOOL(hAPP_nat_bool(X4031,esk88_3(X4031,X4032,X4033)))
| hBOOL(hAPP_nat_bool(X4031,X4032))
| ~ hBOOL(hAPP_nat_bool(X4031,X4033))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4032),X4033)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_684_inc__induct])])])]) ).
fof(i_0_1074,plain,
! [X3779,X3780,X3781] :
( ( ~ hBOOL(in_rel1361124802le_alt(X3779,X3780,X3781))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3780),X3781)),X3779)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3780),X3781)),X3779))
| hBOOL(in_rel1361124802le_alt(X3779,X3780,X3781)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_575_in__rel__def])]) ).
fof(i_0_1075,plain,
! [X3641,X3642,X3643] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3641),X3643))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3641),X3642)),X3643)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3642),X3643))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3641),X3642)),X3643)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_873])])]) ).
fof(i_0_1076,plain,
! [X3644,X3645,X3646] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3644),X3645)),X3646))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3644),X3646)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_525_add__leD1])]) ).
fof(i_0_1077,plain,
! [X3647,X3648,X3649] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3647),X3648)),X3649))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3648),X3649)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_526_add__leD2])]) ).
fof(i_0_1078,plain,
! [X3716,X3717,X3718] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3716),X3717)),X3718))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3716),X3718)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_554_add__lessD1])]) ).
fof(i_0_1079,plain,
! [X3234,X3235,X3236,X3237] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3235),pi_fun1555365306t_bool(X3236,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3237))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3234),X3236))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3235,X3234)),X3237)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_379_funcset__mem])]) ).
fof(i_0_1080,plain,
! [X3230,X3231,X3232,X3233] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3231),pi_Arr1801471756t_bool(X3232,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3233))))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3230),X3232))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3231,X3230)),X3233)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_378_funcset__mem])]) ).
fof(i_0_1081,plain,
! [X3226,X3227,X3228,X3229] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3227),pi_Pro1873779901t_bool(X3228,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3229))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3226),X3228))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3227,X3226)),X3229)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_377_funcset__mem])]) ).
fof(i_0_1082,plain,
! [X3687,X3688,X3689] :
( ~ is_Arr723427730le_alt(X3688)
| ~ is_Arr723427730le_alt(X3689)
| X3688 = X3689
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3687),arrow_912654623le_Lin))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X3687,X3688,X3689)),arrow_912654623le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_544_below__Lin])]) ).
fof(i_0_1083,plain,
! [X3748,X3749,X3750] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3749),X3750))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3749),X3748)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3750),X3748))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_566_add__le__mono1])]) ).
fof(i_0_1084,plain,
! [X3365,X3366,X3367] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3366),X3367))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3366),X3365)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3367),X3365))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_426_add__right__mono])]) ).
fof(i_0_1085,plain,
! [X3362,X3363,X3364] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3363),X3364))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3362),X3363)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3362),X3364))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_425_add__left__mono])]) ).
fof(i_0_1086,plain,
! [X3705,X3706,X3707] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3706),X3707))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3706),X3705)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3707),X3705))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_551_add__less__mono1])]) ).
fof(i_0_1087,plain,
! [X3387,X3388,X3389] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3388),X3389))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3388),X3387)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3389),X3387))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_433_add__strict__right__mono])]) ).
fof(i_0_1088,plain,
! [X3384,X3385,X3386] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3385),X3386))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3384),X3385)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3384),X3386))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_432_add__strict__left__mono])]) ).
fof(i_0_1089,plain,
! [X3845,X3846,X3847] :
( ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3845),X3847))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3846),X3847))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X3845,X3846,X3847)),X3847)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3846),X3847))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3845),X3847))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X3845,X3846,X3847)),X3847)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3845),X3847))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3846),X3847))
| hAPP_nat_nat(X3845,esk74_3(X3845,X3846,X3847)) != hAPP_nat_nat(X3846,esk74_3(X3845,X3846,X3847)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3846),X3847))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3845),X3847))
| hAPP_nat_nat(X3845,esk74_3(X3845,X3846,X3847)) != hAPP_nat_nat(X3846,esk74_3(X3845,X3846,X3847)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_593_inj__on__cong])])])]) ).
fof(i_0_1090,plain,
! [X3849,X3850,X3851] :
( ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3849),X3851))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3850),X3851))
| is_Arr859726945e_indi(esk75_3(X3849,X3850,X3851)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3850),X3851))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3849),X3851))
| is_Arr859726945e_indi(esk75_3(X3849,X3850,X3851)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3849),X3851))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3850),X3851))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X3849,X3850,X3851)),X3851)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3850),X3851))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3849),X3851))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X3849,X3850,X3851)),X3851)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3849),X3851))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3850),X3851))
| hAPP_A1895296483di_nat(X3849,esk75_3(X3849,X3850,X3851)) != hAPP_A1895296483di_nat(X3850,esk75_3(X3849,X3850,X3851)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3850),X3851))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3849),X3851))
| hAPP_A1895296483di_nat(X3849,esk75_3(X3849,X3850,X3851)) != hAPP_A1895296483di_nat(X3850,esk75_3(X3849,X3850,X3851)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_594_inj__on__cong])])])]) ).
fof(i_0_1091,negated_conjecture,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(i_0_1092,plain,
! [X3692,X3693] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3692),X3693)),X3692)),
inference(variable_rename,[status(thm)],[i_0_874]) ).
fof(i_0_1093,plain,
! [X3694,X3695] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3694),X3695)),X3695)),
inference(variable_rename,[status(thm)],[i_0_875]) ).
fof(i_0_1094,plain,
! [X3834,X3835,X3836] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3834),pi_fun1555365306t_bool(X3835,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3836))))
| ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X3834),X3835))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3836))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X3835)),finite945540987t_bool(X3836))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_590_card__inj])]) ).
fof(i_0_1095,plain,
! [X3828,X3829,X3830] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3828),pi_Pro1873779901t_bool(X3829,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3830))))
| ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X3828),X3829))
| ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X3830))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X3829)),finite_card_bool(X3830))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_588_card__inj])]) ).
fof(i_0_1096,plain,
! [X3822,X3823,X3824] :
( ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X3822),pi_nat_nat(X3823,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X3824))))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3822),X3823))
| ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3824))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X3823)),finite_card_nat(X3824))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_586_card__inj])]) ).
fof(i_0_1097,plain,
! [X3831,X3832,X3833] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3831),pi_Arr1801471756t_bool(X3832,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3833))))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X3831),X3832))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3833))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X3832)),finite945540987t_bool(X3833))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_589_card__inj])]) ).
fof(i_0_1098,plain,
! [X3825,X3826,X3827] :
( ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X3825),pi_Arr604548589di_nat(X3826,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X3827))))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3825),X3826))
| ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3827))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X3826)),finite_card_nat(X3827))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_587_card__inj])]) ).
fof(i_0_1099,plain,
! [X2758,X2759,X2760,X2761] :
( ~ hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X2759),pi_Pro1208494515le_alt(X2760,X2761)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X2759,X2758)),hAPP_P401722323t_bool(X2761,X2758)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2758),X2760)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_876])]) ).
fof(i_0_1100,plain,
! [X2754,X2755,X2756,X2757] :
( ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X2755),pi_boo1542163389le_alt(X2756,X2757)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X2755,X2754)),hAPP_b763490121t_bool(X2757,X2754)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2754),X2756)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_877])]) ).
fof(i_0_1101,plain,
! [X2750,X2751,X2752,X2753] :
( ~ hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X2751),pi_Arr1064242500le_alt(X2752,X2753)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X2751,X2750)),hAPP_A340536322t_bool(X2753,X2750)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2750),X2752)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_878])]) ).
fof(i_0_1102,plain,
! [X3221,X3222,X3223,X3224] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3222),pi_fun1555365306t_bool(X3223,X3224)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3221),X3223))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X3222,X3221)),hAPP_f1895971544l_bool(X3224,X3221))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_374_Pi__mem])]) ).
fof(i_0_1103,plain,
! [X2862,X2863,X2864,X2865] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2863),pi_fun1555365306t_bool(X2864,X2865)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X2863,X2862)),hAPP_f1895971544l_bool(X2865,X2862)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2862),X2864)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_879])]) ).
fof(i_0_1104,plain,
! [X2790,X2791,X2792,X2793] :
( ~ hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X2791),pi_Pro1925515229t_bool(X2792,X2793)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X2791,X2790)),hAPP_P288224245l_bool(X2793,X2790)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2790),X2792)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_880])]) ).
fof(i_0_1105,plain,
! [X2786,X2787,X2788,X2789] :
( ~ hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X2787),pi_boo1746012499t_bool(X2788,X2789)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X2787,X2786)),hAPP_b805997823l_bool(X2789,X2786)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2786),X2788)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_881])]) ).
fof(i_0_1106,plain,
! [X3217,X3218,X3219,X3220] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3218),pi_Arr1801471756t_bool(X3219,X3220)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3217),X3219))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X3218,X3217)),hAPP_A659996934l_bool(X3220,X3217))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_373_Pi__mem])]) ).
fof(i_0_1107,plain,
! [X2866,X2867,X2868,X2869] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2867),pi_Arr1801471756t_bool(X2868,X2869)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X2867,X2866)),hAPP_A659996934l_bool(X2869,X2866)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2866),X2868)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_882])]) ).
fof(i_0_1108,plain,
! [X2782,X2783,X2784,X2785] :
( ~ hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X2783),pi_Pro831923248t_bool(X2784,X2785)))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X2783,X2782)),hAPP_P1305865168l_bool(X2785,X2782)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2782),X2784)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_883])]) ).
fof(i_0_1109,plain,
! [X2778,X2779,X2780,X2781] :
( ~ hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X2779),pi_boo68262458t_bool(X2780,X2781)))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X2779,X2778)),hAPP_b651754310l_bool(X2781,X2778)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2778),X2780)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_884])]) ).
fof(i_0_1110,plain,
! [X2774,X2775,X2776,X2777] :
( ~ hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X2775),pi_Arr742795713t_bool(X2776,X2777)))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X2775,X2774)),hAPP_A955165183l_bool(X2777,X2774)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2774),X2776)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_885])]) ).
fof(i_0_1111,plain,
! [X2770,X2771,X2772,X2773] :
( ~ hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X2771),pi_Pro1114473858t_bool(X2772,X2773)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X2771,X2770)),hAPP_P667392034l_bool(X2773,X2770)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2770),X2772)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_886])]) ).
fof(i_0_1112,plain,
! [X2766,X2767,X2768,X2769] :
( ~ hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X2767),pi_boo679625100t_bool(X2768,X2769)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X2767,X2766)),hAPP_b1461182872l_bool(X2769,X2766)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2766),X2768)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_887])]) ).
fof(i_0_1113,plain,
! [X2762,X2763,X2764,X2765] :
( ~ hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X2763),pi_Arr656802323t_bool(X2764,X2765)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X2763,X2762)),hAPP_A701636433l_bool(X2765,X2762)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2762),X2764)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_888])]) ).
fof(i_0_1114,plain,
! [X2858,X2859,X2860,X2861] :
( ~ hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X2859),pi_nat_Product_unit(X2860,X2861)))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X2859,X2858)),hAPP_n454528608t_bool(X2861,X2858)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2858),X2860)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_889])]) ).
fof(i_0_1115,plain,
! [X2846,X2847,X2848,X2849] :
( ~ hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X2847),pi_fun1012573681t_unit(X2848,X2849)))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X2847,X2846)),hAPP_f649586561t_bool(X2849,X2846)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2846),X2848)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_890])]) ).
fof(i_0_1116,plain,
! [X2834,X2835,X2836,X2837] :
( ~ hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X2835),pi_fun1390764464t_unit(X2836,X2837)))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X2835,X2834)),hAPP_f1841347694t_bool(X2837,X2834)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2834),X2836)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_891])]) ).
fof(i_0_1117,plain,
! [X2822,X2823,X2824,X2825] :
( ~ hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X2823),pi_fun623621634t_unit(X2824,X2825)))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X2823,X2822)),hAPP_f1009478556t_bool(X2825,X2822)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2822),X2824)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_892])]) ).
fof(i_0_1118,plain,
! [X2810,X2811,X2812,X2813] :
( ~ hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X2811),pi_Pro269694131t_unit(X2812,X2813)))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X2811,X2810)),hAPP_P822772139t_bool(X2813,X2810)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2810),X2812)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_893])]) ).
fof(i_0_1119,plain,
! [X2802,X2803,X2804,X2805] :
( ~ hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X2803),pi_Product_unit_nat(X2804,X2805)))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X2803,X2802)),hAPP_P32877782t_bool(X2805,X2802)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2802),X2804)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_894])]) ).
fof(i_0_1120,plain,
! [X2798,X2799,X2800,X2801] :
( ~ hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X2799),pi_bool_nat(X2800,X2801)))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X2799,X2798)),hAPP_b1013836512t_bool(X2801,X2798)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2798),X2800)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_895])]) ).
fof(i_0_1121,plain,
! [X2794,X2795,X2796,X2797] :
( ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X2795),pi_Arr604548589di_nat(X2796,X2797)))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X2795,X2794)),hAPP_A1948275303t_bool(X2797,X2794)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2794),X2796)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_896])]) ).
fof(i_0_1122,plain,
! [X3213,X3214,X3215,X3216] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3214),pi_Pro1873779901t_bool(X3215,X3216)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3213),X3215))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X3214,X3213)),hAPP_P1122857141l_bool(X3216,X3213))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_372_Pi__mem])]) ).
fof(i_0_1123,plain,
! [X2746,X2747,X2748,X2749] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2747),pi_Pro1873779901t_bool(X2748,X2749)))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X2747,X2746)),hAPP_P1122857141l_bool(X2749,X2746)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2746),X2748)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_897])]) ).
fof(i_0_1124,plain,
! [X2842,X2843,X2844,X2845] :
( ~ hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X2843),pi_fun568395771l_bool(X2844,X2845)))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X2843,X2842)),hAPP_f812095627l_bool(X2845,X2842)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2842),X2844)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_898])]) ).
fof(i_0_1125,plain,
! [X2830,X2831,X2832,X2833] :
( ~ hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X2831),pi_fun187048122l_bool(X2832,X2833)))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X2831,X2830)),hAPP_f721327224l_bool(X2833,X2830)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2830),X2832)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_899])]) ).
fof(i_0_1126,plain,
! [X2818,X2819,X2820,X2821] :
( ~ hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X2819),pi_fun1236347660l_bool(X2820,X2821)))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X2819,X2818)),hAPP_f591334822l_bool(X2821,X2818)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2818),X2820)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_900])]) ).
fof(i_0_1127,plain,
! [X2854,X2855,X2856,X2857] :
( ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X2855),pi_nat_bool(X2856,X2857)))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X2855,X2854)),hAPP_n1006566506l_bool(X2857,X2854)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2854),X2856)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_901])]) ).
fof(i_0_1128,plain,
! [X2806,X2807,X2808,X2809] :
( ~ hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X2807),pi_Pro58544964e_indi(X2808,X2809)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X2807,X2806)),hAPP_P957402556i_bool(X2809,X2806)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2806),X2808)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_902])]) ).
fof(i_0_1129,plain,
! [X2838,X2839,X2840,X2841] :
( ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X2839),pi_fun596906370e_indi(X2840,X2841)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X2839,X2838)),hAPP_f431432850i_bool(X2841,X2838)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2838),X2840)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_903])]) ).
fof(i_0_1130,plain,
! [X2826,X2827,X2828,X2829] :
( ~ hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X2827),pi_fun1353458625e_indi(X2828,X2829)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X2827,X2826)),hAPP_f783549695i_bool(X2829,X2826)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2826),X2828)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_904])]) ).
fof(i_0_1131,plain,
! [X2814,X2815,X2816,X2817] :
( ~ hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X2815),pi_fun268174099e_indi(X2816,X2817)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X2815,X2814)),hAPP_f1570138413i_bool(X2817,X2814)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2814),X2816)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_905])]) ).
fof(i_0_1132,plain,
! [X2850,X2851,X2852,X2853] :
( ~ hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X2851),pi_nat1476290531e_indi(X2852,X2853)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X2851,X2850)),hAPP_n1600508401i_bool(X2853,X2850)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2850),X2852)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_906])]) ).
fof(i_0_1133,plain,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
inference(fof_simplification,[status(thm)],[fact_79__096_Ib_M_Aa_J_A_126_058_ALab_096]) ).
fof(i_0_1134,plain,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
inference(fof_simplification,[status(thm)],[fact_78__096_Ia_M_Ab_J_A_126_058_ALba_096]) ).
fof(i_0_1135,plain,
! [X3912,X3913] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3912),X3913)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3912))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3913)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3912))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3912),X3913))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3913))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3912),X3913))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_624_add__gr__0])])]) ).
fof(i_0_1136,plain,
! [X2528,X2529] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2529),arrow_912654623le_Lin))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X2529),X2528)),arrow_912654623le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_87_mktop__Lin])]) ).
fof(i_0_1137,plain,
! [X2530,X2531] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2531),arrow_912654623le_Lin))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X2531),X2530)),arrow_912654623le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_88_mkbot__Lin])]) ).
cnf(i_0_1138,plain,
hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X1),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))))),
inference(split_conjunct,[status(thm)],[i_0_907]) ).
fof(i_0_1139,plain,
! [X3914,X3915,X3917] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk82_2(X3914,X3915)),X3914))
| ~ hBOOL(hAPP_nat_bool(X3915,X3914))
| hBOOL(hAPP_nat_bool(X3915,zero_zero_nat)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3917),esk82_2(X3914,X3915)))
| ~ hBOOL(hAPP_nat_bool(X3915,X3917))
| ~ hBOOL(hAPP_nat_bool(X3915,X3914))
| hBOOL(hAPP_nat_bool(X3915,zero_zero_nat)) )
& ( hBOOL(hAPP_nat_bool(X3915,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk82_2(X3914,X3915)),one_one_nat)))
| ~ hBOOL(hAPP_nat_bool(X3915,X3914))
| hBOOL(hAPP_nat_bool(X3915,zero_zero_nat)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_908])])])])]) ).
fof(i_0_1140,plain,
! [X2870,X2871] :
( ( is_fun20916972t_bool(esk25_2(X2870,X2871))
| X2870 = X2871
| ~ is_Arr723427730le_alt(X2870)
| ~ is_Arr723427730le_alt(X2871) )
& ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk25_2(X2870,X2871)),arrow_912654623le_Lin))
| X2870 = X2871
| ~ is_Arr723427730le_alt(X2870)
| ~ is_Arr723427730le_alt(X2871) )
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2870),X2871)),esk25_2(X2870,X2871)))
| X2870 = X2871
| ~ is_Arr723427730le_alt(X2870)
| ~ is_Arr723427730le_alt(X2871) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_220_complete__Lin])])])]) ).
fof(i_0_1141,plain,
! [X2433,X2435,X2436,X2437,X2440] :
( ( ~ hBOOL(hAPP_P1813625415t_bool(X2433,esk6_1(X2433)))
| ~ is_Arr723427730le_alt(X2435)
| ~ is_Arr723427730le_alt(X2436)
| hBOOL(hAPP_P1813625415t_bool(X2433,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2435),X2436))) )
& ( is_Arr723427730le_alt(esk7_1(X2437))
| hBOOL(hAPP_P1813625415t_bool(X2437,X2440)) )
& ( is_Arr723427730le_alt(esk8_1(X2437))
| hBOOL(hAPP_P1813625415t_bool(X2437,X2440)) )
& ( ~ hBOOL(hAPP_P1813625415t_bool(X2437,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk7_1(X2437)),esk8_1(X2437))))
| hBOOL(hAPP_P1813625415t_bool(X2437,X2440)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_15_split__paired__All])])])])])]) ).
fof(i_0_1142,plain,
! [X3934,X3935] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3934)),hAPP_nat_nat(suc,X3935)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3934),X3935)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3934),X3935))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3934)),hAPP_nat_nat(suc,X3935))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_634_Suc__le__mono])]) ).
fof(i_0_1143,plain,
! [X3975,X3976] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X3975)),hAPP_nat_nat(suc,X3976)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3975),X3976)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_655_Suc__less__SucD])]) ).
fof(i_0_1144,plain,
! [X3958,X3959] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X3958)),hAPP_nat_nat(suc,X3959)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3958),X3959)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3958),X3959))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X3958)),hAPP_nat_nat(suc,X3959))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_647_Suc__less__eq])]) ).
fof(i_0_1145,plain,
! [X3999,X4000] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3999),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3999),X4000)))),
inference(variable_rename,[status(thm)],[fact_666_less__add__Suc1]) ).
fof(i_0_1146,plain,
! [X3997,X3998] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3997),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3998),X3997)))),
inference(variable_rename,[status(thm)],[fact_665_less__add__Suc2]) ).
fof(i_0_1147,plain,
! [X3968,X3969,X3970] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3969),X3970))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3970),X3968))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X3969)),X3968)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_652_less__trans__Suc])]) ).
fof(i_0_1148,plain,
! [X4048,X4049] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4048),esk93_2(X4048,X4049)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X4048)),X4049)) )
& ( X4049 = hAPP_nat_nat(suc,esk93_2(X4048,X4049))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X4048)),X4049)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_691_Suc__lessE])])])]) ).
fof(i_0_1149,plain,
! [X3930,X3931] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3930),X3931))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3931)),X3930)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3931)),X3930))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3930),X3931)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_909])]) ).
fof(i_0_1150,plain,
! [X4010,X4011,X4013,X4014,X4015] :
( ( X4010 = hAPP_nat_nat(suc,esk87_2(X4010,X4011))
| X4010 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4010),hAPP_nat_nat(suc,X4011))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk87_2(X4010,X4011)),X4011))
| X4010 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4010),hAPP_nat_nat(suc,X4011))) )
& ( X4013 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4013),hAPP_nat_nat(suc,X4014))) )
& ( X4013 != hAPP_nat_nat(suc,X4015)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4015),X4014))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4013),hAPP_nat_nat(suc,X4014))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_671_less__Suc__eq__0__disj])])])])])]) ).
fof(i_0_1151,plain,
! [X3209,X3210,X3211,X3212] :
( ~ is_Arr859726945e_indi(X3209)
| ~ is_Arr859726945e_indi(X3210)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3211),X3212))
| hAPP_A1895296483di_nat(X3211,X3209) != hAPP_A1895296483di_nat(X3211,X3210)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3209),X3212))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3210),X3212))
| X3209 = X3210 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_371_inj__onD])]) ).
fof(i_0_1152,plain,
! [X3193,X3194,X3195,X3196] :
( ~ is_Arr859726945e_indi(X3193)
| ~ is_Arr859726945e_indi(X3194)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3195),X3196))
| X3193 = X3194
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3193),X3196))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3194),X3196))
| hAPP_A1895296483di_nat(X3195,X3193) != hAPP_A1895296483di_nat(X3195,X3194) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_367_inj__on__contraD])]) ).
fof(i_0_1153,plain,
! [X3201,X3202,X3203,X3204] :
( ( hAPP_A1895296483di_nat(X3203,X3202) != hAPP_A1895296483di_nat(X3203,X3201)
| X3202 = X3201
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3201),X3204))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3202),X3204))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3203),X3204))
| ~ is_Arr859726945e_indi(X3201)
| ~ is_Arr859726945e_indi(X3202) )
& ( X3202 != X3201
| hAPP_A1895296483di_nat(X3203,X3202) = hAPP_A1895296483di_nat(X3203,X3201)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3201),X3204))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3202),X3204))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3203),X3204))
| ~ is_Arr859726945e_indi(X3201)
| ~ is_Arr859726945e_indi(X3202) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_369_inj__on__iff])])]) ).
fof(i_0_1154,plain,
! [X3181,X3182,X3183,X3184,X3185,X3186] :
( ( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3181),X3182))
| ~ is_Arr859726945e_indi(X3183)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3183),X3182))
| ~ is_Arr859726945e_indi(X3184)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3184),X3182))
| hAPP_A1895296483di_nat(X3181,X3183) != hAPP_A1895296483di_nat(X3181,X3184)
| X3183 = X3184 )
& ( is_Arr859726945e_indi(esk31_2(X3185,X3186))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3185),X3186)) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk31_2(X3185,X3186)),X3186))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3185),X3186)) )
& ( is_Arr859726945e_indi(esk32_2(X3185,X3186))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3185),X3186)) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk32_2(X3185,X3186)),X3186))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3185),X3186)) )
& ( hAPP_A1895296483di_nat(X3185,esk31_2(X3185,X3186)) = hAPP_A1895296483di_nat(X3185,esk32_2(X3185,X3186))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3185),X3186)) )
& ( esk31_2(X3185,X3186) != esk32_2(X3185,X3186)
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3185),X3186)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_365_inj__on__def])])])])])]) ).
fof(i_0_1155,plain,
! [X3600,X3601] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X3600,X3601)),X3601))
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3601),X3600)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X3600,X3601)),X3600))
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3601),X3600)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_511_subsetI])])])]) ).
fof(i_0_1156,plain,
! [X3591,X3592] :
( ( is_fun20916972t_bool(esk51_2(X3591,X3592))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3592),X3591)) )
& ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X3591,X3592)),X3592))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3592),X3591)) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X3591,X3592)),X3591))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3592),X3591)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_508_subsetI])])])]) ).
fof(i_0_1157,plain,
! [X3594,X3595] :
( ( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X3594,X3595)),X3595))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3595),X3594)) )
& ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X3594,X3595)),X3594))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3595),X3594)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_509_subsetI])])])]) ).
fof(i_0_1158,plain,
! [X3597,X3598] :
( ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X3597,X3598)),X3598))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3598),X3597)) )
& ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X3597,X3598)),X3597))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3598),X3597)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_510_subsetI])])])]) ).
fof(i_0_1159,plain,
! [X3582,X3583] :
( ( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X3582,X3583)),X3583))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3583),X3582)) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X3582,X3583)),X3582))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3583),X3582)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_505_subsetI])])])]) ).
fof(i_0_1160,plain,
! [X3588,X3589] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X3588,X3589)),X3589))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3589),X3588)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X3588,X3589)),X3588))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3589),X3588)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_507_subsetI])])])]) ).
fof(i_0_1161,plain,
! [X3579,X3580] :
( ( is_bool(esk47_2(X3579,X3580))
| hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3580),X3579)) )
& ( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X3579,X3580)),X3580))
| hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3580),X3579)) )
& ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X3579,X3580)),X3579))
| hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3580),X3579)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_504_subsetI])])])]) ).
fof(i_0_1162,plain,
! [X3585,X3586] :
( ( is_Arr859726945e_indi(esk49_2(X3585,X3586))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3586),X3585)) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X3585,X3586)),X3586))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3586),X3585)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X3585,X3586)),X3585))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3586),X3585)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_506_subsetI])])])]) ).
fof(i_0_1163,plain,
! [X4058,X4059] :
( ( hBOOL(hAPP_nat_bool(X4059,esk97_2(X4058,X4059)))
| hBOOL(hAPP_nat_bool(X4059,X4058))
| ~ hBOOL(hAPP_nat_bool(X4059,zero_zero_nat)) )
& ( ~ hBOOL(hAPP_nat_bool(X4059,hAPP_nat_nat(suc,esk97_2(X4058,X4059))))
| hBOOL(hAPP_nat_bool(X4059,X4058))
| ~ hBOOL(hAPP_nat_bool(X4059,zero_zero_nat)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_695_nat__induct])])])]) ).
fof(i_0_1164,plain,
! [X3197,X3198,X3199,X3200] :
( ( hAPP_nat_nat(X3199,X3198) != hAPP_nat_nat(X3199,X3197)
| X3198 = X3197
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3197),X3200))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3198),X3200))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3199),X3200)) )
& ( X3198 != X3197
| hAPP_nat_nat(X3199,X3198) = hAPP_nat_nat(X3199,X3197)
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3197),X3200))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3198),X3200))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3199),X3200)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_368_inj__on__iff])])]) ).
fof(i_0_1165,plain,
! [X3205,X3206,X3207,X3208] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3207),X3208))
| hAPP_nat_nat(X3207,X3205) != hAPP_nat_nat(X3207,X3206)
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3205),X3208))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3206),X3208))
| X3205 = X3206 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_370_inj__onD])]) ).
fof(i_0_1166,plain,
! [X3189,X3190,X3191,X3192] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3191),X3192))
| X3189 = X3190
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3189),X3192))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3190),X3192))
| hAPP_nat_nat(X3191,X3189) != hAPP_nat_nat(X3191,X3190) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_366_inj__on__contraD])]) ).
fof(i_0_1167,plain,
! [X3173,X3174,X3175,X3176,X3177,X3178] :
( ( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3173),X3174))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3175),X3174))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3176),X3174))
| hAPP_nat_nat(X3173,X3175) != hAPP_nat_nat(X3173,X3176)
| X3175 = X3176 )
& ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk29_2(X3177,X3178)),X3178))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3177),X3178)) )
& ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk30_2(X3177,X3178)),X3178))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3177),X3178)) )
& ( hAPP_nat_nat(X3177,esk29_2(X3177,X3178)) = hAPP_nat_nat(X3177,esk30_2(X3177,X3178))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3177),X3178)) )
& ( esk29_2(X3177,X3178) != esk30_2(X3177,X3178)
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3177),X3178)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_364_inj__on__def])])])])])]) ).
fof(i_0_1168,plain,
! [X3309,X3310,X3311] :
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3310),X3311))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X3311,X3309)),pi_Pro1873779901t_bool(X3310,X3309))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_402_Pi__anti__mono])]) ).
fof(i_0_1169,plain,
! [X3315,X3316,X3317] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3316),X3317))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X3317,X3315)),pi_fun1555365306t_bool(X3316,X3315))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_404_Pi__anti__mono])]) ).
fof(i_0_1170,plain,
! [X3312,X3313,X3314] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3313),X3314))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X3314,X3312)),pi_Arr1801471756t_bool(X3313,X3312))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_403_Pi__anti__mono])]) ).
fof(i_0_1171,plain,
! [X2960,X2961,X2962] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2961),X2962))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X2961,X2960)),hAPP_nat_bool(X2962,X2960))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_258_le__funD])]) ).
fof(i_0_1172,plain,
! [X2885,X2886,X2887] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2886),X2887))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X2886,X2885)),hAPP_nat_bool(X2887,X2885))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_230_le__funE])]) ).
fof(i_0_1173,plain,
! [X3940,X3941] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3940)),X3941))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3940),X3941)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_637_Suc__leD])]) ).
fof(i_0_1174,plain,
! [X3989,X3990] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3989),X3990))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3989)),X3990)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3989)),X3990))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3989),X3990)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_663_less__eq__Suc__le])]) ).
fof(i_0_1175,plain,
! [X3985,X3986] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3985)),X3986))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3985),X3986)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3985),X3986))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3985)),X3986)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_661_Suc__le__eq])]) ).
fof(i_0_1176,plain,
! [X3977,X3978] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3977)),X3978))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3977),X3978)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_657_Suc__le__lessD])]) ).
fof(i_0_1177,plain,
! [X3973,X3974] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X3973)),X3974))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3973),X3974)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_654_Suc__lessD])]) ).
fof(i_0_1178,plain,
! [X3765,X3766,X3767] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3766),X3767))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3766),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3767),X3765))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_570_termination__basic__simps_I3_J])]) ).
fof(i_0_1179,plain,
! [X3742,X3743,X3744] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3743),X3744))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3743),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3744),X3742))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_564_trans__le__add1])]) ).
fof(i_0_1180,plain,
! [X3768,X3769,X3770] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3769),X3770))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3769),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3768),X3770))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_571_termination__basic__simps_I4_J])]) ).
fof(i_0_1181,plain,
! [X3745,X3746,X3747] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3746),X3747))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3746),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3745),X3747))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_565_trans__le__add2])]) ).
fof(i_0_1182,plain,
! [X3774,X3775,X3776] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3775),X3776))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3775),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3776),X3774))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_573_termination__basic__simps_I1_J])]) ).
fof(i_0_1183,plain,
! [X3699,X3700,X3701] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3700),X3701))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3700),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3701),X3699))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_549_trans__less__add1])]) ).
fof(i_0_1184,plain,
! [X3771,X3772,X3773] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3772),X3773))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3772),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3771),X3773))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_572_termination__basic__simps_I2_J])]) ).
fof(i_0_1185,plain,
! [X3702,X3703,X3704] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3703),X3704))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3703),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3702),X3704))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_550_trans__less__add2])]) ).
fof(i_0_1186,plain,
! [X3926,X3927] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3926),X3927))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X3926)),hAPP_nat_nat(suc,X3927))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_629_Suc__mono])]) ).
fof(i_0_1187,plain,
! [X3918,X3919,X3921] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk83_2(X3918,X3919)),X3918))
| ~ hBOOL(hAPP_nat_bool(X3919,X3918))
| hBOOL(hAPP_nat_bool(X3919,zero_zero_nat)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3921),esk83_2(X3918,X3919)))
| ~ hBOOL(hAPP_nat_bool(X3919,X3921))
| ~ hBOOL(hAPP_nat_bool(X3919,X3918))
| hBOOL(hAPP_nat_bool(X3919,zero_zero_nat)) )
& ( hBOOL(hAPP_nat_bool(X3919,esk83_2(X3918,X3919)))
| ~ hBOOL(hAPP_nat_bool(X3919,X3918))
| hBOOL(hAPP_nat_bool(X3919,zero_zero_nat)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_910])])])])]) ).
fof(i_0_1188,plain,
( is_fun20916972t_bool(esk19_0)
& hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),esk19_0))
& hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk19_0),arrow_912654623le_Lin)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_911])])]) ).
fof(i_0_1189,plain,
( is_fun20916972t_bool(esk18_0)
& hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),esk18_0))
& hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk18_0),arrow_912654623le_Lin)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_912])])]) ).
fof(i_0_1190,plain,
! [X3511,X3512,X3513] :
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3512),X3513))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3513),X3511))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3512),X3511)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_478_set__rev__mp])]) ).
fof(i_0_1191,plain,
! [X3538,X3539,X3540] :
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3539),X3540))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3538),X3539))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3538),X3540)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_487_in__mono])]) ).
fof(i_0_1192,plain,
! [X3487,X3488,X3489] :
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3488),X3489))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3487),X3488))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3487),X3489)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_470_set__mp])]) ).
fof(i_0_1193,plain,
! [X3422,X3423,X3424] :
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3423),X3424))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3422),X3423))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3422),X3424)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_445_subsetD])]) ).
fof(i_0_1194,plain,
! [X3624,X3625,X3626] :
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X3625),X3626))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3624),X3625))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3624),X3626)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_519_psubsetD])]) ).
fof(i_0_1195,plain,
! [X3502,X3503,X3504] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3503),X3504))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3504),X3502))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3503),X3502)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_475_set__rev__mp])]) ).
fof(i_0_1196,plain,
! [X3529,X3530,X3531] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3530),X3531))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3529),X3530))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3529),X3531)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_484_in__mono])]) ).
fof(i_0_1197,plain,
! [X3478,X3479,X3480] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3479),X3480))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3478),X3479))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3478),X3480)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_467_set__mp])]) ).
fof(i_0_1198,plain,
! [X3413,X3414,X3415] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3414),X3415))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3413),X3414))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3413),X3415)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_442_subsetD])]) ).
fof(i_0_1199,plain,
! [X3615,X3616,X3617] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X3616),X3617))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3615),X3616))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3615),X3617)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_516_psubsetD])]) ).
fof(i_0_1200,plain,
! [X3505,X3506,X3507] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3506),X3507))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3507),X3505))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3506),X3505)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_476_set__rev__mp])]) ).
fof(i_0_1201,plain,
! [X3532,X3533,X3534] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3533),X3534))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3532),X3533))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3532),X3534)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_485_in__mono])]) ).
fof(i_0_1202,plain,
! [X3481,X3482,X3483] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3482),X3483))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3481),X3482))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3481),X3483)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_468_set__mp])]) ).
fof(i_0_1203,plain,
! [X3416,X3417,X3418] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3417),X3418))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3416),X3417))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3416),X3418)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_443_subsetD])]) ).
fof(i_0_1204,plain,
! [X3618,X3619,X3620] :
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X3619),X3620))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3618),X3619))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3618),X3620)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_517_psubsetD])]) ).
fof(i_0_1205,plain,
! [X3508,X3509,X3510] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3509),X3510))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3510),X3508))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3509),X3508)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_477_set__rev__mp])]) ).
fof(i_0_1206,plain,
! [X3535,X3536,X3537] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3536),X3537))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3535),X3536))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3535),X3537)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_486_in__mono])]) ).
fof(i_0_1207,plain,
! [X3484,X3485,X3486] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3485),X3486))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3484),X3485))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3484),X3486)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_469_set__mp])]) ).
fof(i_0_1208,plain,
! [X3419,X3420,X3421] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3420),X3421))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3419),X3420))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3419),X3421)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_444_subsetD])]) ).
fof(i_0_1209,plain,
! [X3621,X3622,X3623] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X3622),X3623))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3621),X3622))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3621),X3623)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_518_psubsetD])]) ).
fof(i_0_1210,plain,
! [X3446,X3447,X3448] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3447),X3448))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3448),X3446))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3447),X3446)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_456_psubset__subset__trans])]) ).
fof(i_0_1211,plain,
! [X3092,X3093,X3094] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3093),X3094))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3094),X3092))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3093),X3092)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_321_order__less__le__trans])]) ).
fof(i_0_1212,plain,
! [X3455,X3456,X3457] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3456),X3457))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3457),X3455))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3456),X3455)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_459_subset__psubset__trans])]) ).
fof(i_0_1213,plain,
! [X3122,X3123,X3124] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3123),X3124))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3124),X3122))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3123),X3122)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_331_order__le__less__trans])]) ).
fof(i_0_1214,plain,
! [X3630,X3631,X3632] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3631),X3632))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3632),X3630))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3631),X3630)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_521_psubset__trans])]) ).
fof(i_0_1215,plain,
! [X2561,X2562,X2563] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2562),X2563))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2563),X2561))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2562),X2561)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_101_order__less__trans])]) ).
fof(i_0_1216,plain,
! [X3107,X3108,X3109] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3108),X3109))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3107),X3108))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3107),X3109)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_326_xt1_I7_J])]) ).
fof(i_0_1217,plain,
! [X3137,X3138,X3139] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3138),X3139))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3137),X3138))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3137),X3139)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_336_xt1_I8_J])]) ).
fof(i_0_1218,plain,
! [X2549,X2550,X2551] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2550),X2551))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2549),X2550))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2549),X2551)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_97_xt1_I10_J])]) ).
fof(i_0_1219,plain,
! [X3493,X3494,X3495] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3494),X3495))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3495),X3493))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3494),X3493)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_472_set__rev__mp])]) ).
fof(i_0_1220,plain,
! [X3520,X3521,X3522] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3521),X3522))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3520),X3521))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3520),X3522)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_481_in__mono])]) ).
fof(i_0_1221,plain,
! [X3469,X3470,X3471] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3470),X3471))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3469),X3470))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3469),X3471)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_464_set__mp])]) ).
fof(i_0_1222,plain,
! [X3404,X3405,X3406] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3405),X3406))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3404),X3405))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3404),X3406)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_439_subsetD])]) ).
fof(i_0_1223,plain,
! [X3606,X3607,X3608] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3607),X3608))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3606),X3607))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3606),X3608)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_513_psubsetD])]) ).
fof(i_0_1224,plain,
! [X3463,X3464,X3465] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3464),X3465))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3465),X3463))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3464),X3463)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_462_subset__trans])]) ).
fof(i_0_1225,plain,
! [X2909,X2910,X2911] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2910),X2911))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2911),X2909))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2910),X2909)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_239_order__trans])]) ).
fof(i_0_1226,plain,
! [X2894,X2895,X2896] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2895),X2896))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2894),X2895))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2894),X2896)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_233_xt1_I6_J])]) ).
fof(i_0_1227,plain,
! [X3443,X3444,X3445] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3444),X3445))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3445),X3443))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3444),X3443)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_455_psubset__subset__trans])]) ).
fof(i_0_1228,plain,
! [X3089,X3090,X3091] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3090),X3091))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3091),X3089))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3090),X3089)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_320_order__less__le__trans])]) ).
fof(i_0_1229,plain,
! [X3452,X3453,X3454] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3453),X3454))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3454),X3452))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3453),X3452)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_458_subset__psubset__trans])]) ).
fof(i_0_1230,plain,
! [X3119,X3120,X3121] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3120),X3121))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3121),X3119))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3120),X3119)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_330_order__le__less__trans])]) ).
fof(i_0_1231,plain,
! [X3627,X3628,X3629] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3628),X3629))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3629),X3627))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3628),X3627)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_520_psubset__trans])]) ).
fof(i_0_1232,plain,
! [X2558,X2559,X2560] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2559),X2560))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2560),X2558))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2559),X2558)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_100_order__less__trans])]) ).
fof(i_0_1233,plain,
! [X3104,X3105,X3106] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3105),X3106))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3104),X3105))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3104),X3106)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_325_xt1_I7_J])]) ).
fof(i_0_1234,plain,
! [X3134,X3135,X3136] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3135),X3136))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3134),X3135))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3134),X3136)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_335_xt1_I8_J])]) ).
fof(i_0_1235,plain,
! [X2546,X2547,X2548] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2547),X2548))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2546),X2547))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2546),X2548)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_96_xt1_I10_J])]) ).
fof(i_0_1236,plain,
! [X3499,X3500,X3501] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3500),X3501))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3501),X3499))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3500),X3499)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_474_set__rev__mp])]) ).
fof(i_0_1237,plain,
! [X3526,X3527,X3528] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3527),X3528))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3526),X3527))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3526),X3528)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_483_in__mono])]) ).
fof(i_0_1238,plain,
! [X3475,X3476,X3477] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3476),X3477))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3475),X3476))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3475),X3477)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_466_set__mp])]) ).
fof(i_0_1239,plain,
! [X3410,X3411,X3412] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3411),X3412))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3410),X3411))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3410),X3412)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_441_subsetD])]) ).
fof(i_0_1240,plain,
! [X3612,X3613,X3614] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3613),X3614))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3612),X3613))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3612),X3614)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_515_psubsetD])]) ).
fof(i_0_1241,plain,
! [X3490,X3491,X3492] :
( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3491),X3492))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3492),X3490))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3491),X3490)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_471_set__rev__mp])]) ).
fof(i_0_1242,plain,
! [X3603,X3604,X3605] :
( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X3604),X3605))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3603),X3604))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3603),X3605)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_512_psubsetD])]) ).
fof(i_0_1243,plain,
! [X3517,X3518,X3519] :
( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3518),X3519))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3517),X3518))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3517),X3519)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_480_in__mono])]) ).
fof(i_0_1244,plain,
! [X3466,X3467,X3468] :
( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3467),X3468))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3466),X3467))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3466),X3468)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_463_set__mp])]) ).
fof(i_0_1245,plain,
! [X3401,X3402,X3403] :
( ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X3402),X3403))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3401),X3402))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3401),X3403)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_438_subsetD])]) ).
fof(i_0_1246,plain,
! [X3449,X3450,X3451] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3450),X3451))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3451),X3449))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3450),X3449)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_457_psubset__subset__trans])]) ).
fof(i_0_1247,plain,
! [X3095,X3096,X3097] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3096),X3097))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3097),X3095))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3096),X3095)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_322_order__less__le__trans])]) ).
fof(i_0_1248,plain,
! [X3458,X3459,X3460] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3459),X3460))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3460),X3458))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3459),X3458)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_460_subset__psubset__trans])]) ).
fof(i_0_1249,plain,
! [X3125,X3126,X3127] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3126),X3127))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3127),X3125))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3126),X3125)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_332_order__le__less__trans])]) ).
fof(i_0_1250,plain,
! [X3633,X3634,X3635] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3634),X3635))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3635),X3633))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3634),X3633)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_522_psubset__trans])]) ).
fof(i_0_1251,plain,
! [X2564,X2565,X2566] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2565),X2566))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2566),X2564))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2565),X2564)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_102_order__less__trans])]) ).
fof(i_0_1252,plain,
! [X3110,X3111,X3112] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3111),X3112))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3110),X3111))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3110),X3112)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_327_xt1_I7_J])]) ).
fof(i_0_1253,plain,
! [X3140,X3141,X3142] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3141),X3142))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3140),X3141))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3140),X3142)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_337_xt1_I8_J])]) ).
fof(i_0_1254,plain,
! [X2552,X2553,X2554] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2553),X2554))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2552),X2553))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2552),X2554)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_98_xt1_I10_J])]) ).
fof(i_0_1255,plain,
! [X3496,X3497,X3498] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3497),X3498))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3498),X3496))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3497),X3496)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_473_set__rev__mp])]) ).
fof(i_0_1256,plain,
! [X3523,X3524,X3525] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3524),X3525))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3523),X3524))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3523),X3525)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_482_in__mono])]) ).
fof(i_0_1257,plain,
! [X3472,X3473,X3474] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3473),X3474))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3472),X3473))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3472),X3474)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_465_set__mp])]) ).
fof(i_0_1258,plain,
! [X3407,X3408,X3409] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3408),X3409))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3407),X3408))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3407),X3409)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_440_subsetD])]) ).
fof(i_0_1259,plain,
! [X3609,X3610,X3611] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3610),X3611))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3609),X3610))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3609),X3611)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_514_psubsetD])]) ).
fof(i_0_1260,plain,
! [X3682,X3683,X3684] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3683),X3684))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3684),X3682))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3683),X3682)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_542_le__trans])]) ).
fof(i_0_1261,plain,
! [X2906,X2907,X2908] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2907),X2908))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2908),X2906))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2907),X2906)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_238_order__trans])]) ).
fof(i_0_1262,plain,
! [X2891,X2892,X2893] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2892),X2893))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2891),X2892))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2891),X2893)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_232_xt1_I6_J])]) ).
fof(i_0_1263,plain,
! [X3098,X3099,X3100] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3099),X3100))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3100),X3098))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3099),X3098)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_323_order__less__le__trans])]) ).
fof(i_0_1264,plain,
! [X3128,X3129,X3130] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3129),X3130))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3130),X3128))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3129),X3128)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_333_order__le__less__trans])]) ).
fof(i_0_1265,plain,
! [X2567,X2568,X2569] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2568),X2569))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2569),X2567))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2568),X2567)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_order__less__trans])]) ).
fof(i_0_1266,plain,
! [X3113,X3114,X3115] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3114),X3115))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3113),X3114))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3113),X3115)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_328_xt1_I7_J])]) ).
fof(i_0_1267,plain,
! [X3143,X3144,X3145] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3144),X3145))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3143),X3144))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3143),X3145)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_338_xt1_I8_J])]) ).
fof(i_0_1268,plain,
! [X2555,X2556,X2557] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2556),X2557))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2555),X2556))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2555),X2557)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_99_xt1_I10_J])]) ).
fof(i_0_1269,plain,
! [X2903,X2904,X2905] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2904),X2905))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2905),X2903))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2904),X2903)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_237_order__trans])]) ).
fof(i_0_1270,plain,
! [X2888,X2889,X2890] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2889),X2890))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2888),X2889))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2888),X2890)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_231_xt1_I6_J])]) ).
fof(i_0_1271,plain,
! [X3101,X3102,X3103] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3102),X3103))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3103),X3101))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3102),X3101)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_324_order__less__le__trans])]) ).
fof(i_0_1272,plain,
! [X3131,X3132,X3133] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3132),X3133))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3133),X3131))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3132),X3131)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_334_order__le__less__trans])]) ).
fof(i_0_1273,plain,
! [X3116,X3117,X3118] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3117),X3118))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3116),X3117))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3116),X3118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_329_xt1_I7_J])]) ).
fof(i_0_1274,plain,
! [X3146,X3147,X3148] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3147),X3148))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3146),X3147))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3146),X3148)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_339_xt1_I8_J])]) ).
fof(i_0_1275,plain,
! [X3979,X3980] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3980),hAPP_nat_nat(suc,X3979)))
| X3980 = X3979
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3979),X3980)) )
& ( X3980 != X3979
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3980),hAPP_nat_nat(suc,X3979)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3979),X3980)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_658_le__less__Suc__eq])])]) ).
fof(i_0_1276,plain,
! [X3712,X3713,X3714,X3715] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3714),X3715))
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3712),X3715) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3714),X3713)
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3712),X3713)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_553_less__add__eq__less])]) ).
fof(i_0_1277,plain,
! [X3954,X3955] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3954),X3955))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3955),hAPP_nat_nat(suc,X3954))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3955),hAPP_nat_nat(suc,X3954)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3954),X3955)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_913])]) ).
fof(i_0_1278,plain,
! [X3878,X3880,X3881,X3882] :
( ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3878))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3880),X3878))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3880),esk76_1(X3878))) )
& ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk77_2(X3881,X3882)),X3881))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3881)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk77_2(X3881,X3882)),X3882))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3881)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_607_finite__nat__set__iff__bounded__le])])])])])]) ).
fof(i_0_1279,plain,
! [X3884,X3886,X3887,X3888] :
( ( ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3884))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3886),X3884))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3886),esk78_1(X3884))) )
& ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk79_2(X3887,X3888)),X3887))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3887)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk79_2(X3887,X3888)),X3888))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3887)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_608_finite__nat__set__iff__bounded])])])])])]) ).
fof(i_0_1280,plain,
! [X3893,X3894] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk81_2(X3893,X3894)),X3894))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3894)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk81_2(X3893,X3894)),X3893))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3894)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_610_bounded__nat__set__is__finite])])])]) ).
fof(i_0_1281,plain,
! [X3690,X3691] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X3690)),X3691)),
inference(variable_rename,[status(thm)],[fact_545_inj__on__add__nat]) ).
fof(i_0_1282,plain,
! [X4042,X4043] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X4042)),X4043))
| X4043 = hAPP_nat_nat(suc,esk91_2(X4042,X4043)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_689_Suc__le__D])])]) ).
fof(i_0_1283,plain,
! [X3966,X3967] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3966),X3967))
| hAPP_nat_nat(suc,X3966) = X3967
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X3966)),X3967)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_651_Suc__lessI])]) ).
fof(i_0_1284,plain,
! [X3668,X3669,X3670] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3668),X3669)),X3670) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3668),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3669),X3670)),
inference(variable_rename,[status(thm)],[fact_536_nat__add__assoc]) ).
fof(i_0_1285,plain,
! [X3348,X3349,X3350] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3348),X3349)),X3350) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3348),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3349),X3350)),
inference(variable_rename,[status(thm)],[fact_420_ab__semigroup__add__class_Oadd__ac_I1_J]) ).
fof(i_0_1286,plain,
! [X3981,X3982] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3981),X3982))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3981)),X3982)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_659_Suc__leI])]) ).
fof(i_0_1287,plain,
! [X3938,X3939] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3938),hAPP_nat_nat(suc,X3939)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3938),X3939))
| X3938 = hAPP_nat_nat(suc,X3939) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_914])]) ).
fof(i_0_1288,plain,
! [X3932,X3933] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3932),hAPP_nat_nat(suc,X3933)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3932),X3933))
| X3932 = hAPP_nat_nat(suc,X3933) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3932),X3933))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3932),hAPP_nat_nat(suc,X3933))) )
& ( X3932 != hAPP_nat_nat(suc,X3933)
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3932),hAPP_nat_nat(suc,X3933))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_633_le__Suc__eq])])]) ).
fof(i_0_1289,plain,
! [X2535] :
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2535),arrow_912654623le_Lin))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X2535)),arrow_583275979e_Prof)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_90_const__Lin__Prof])]) ).
fof(i_0_1290,plain,
! [X3305,X3306] :
( ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3305),X3306))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3305),X3306)) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3306),X3305))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3305),X3306)) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3305),X3306))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3306),X3305))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3305),X3306)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_915])])]) ).
fof(i_0_1291,plain,
! [X2999,X3000] :
( ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2999),X3000))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2999),X3000)) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3000),X2999))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2999),X3000)) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2999),X3000))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3000),X2999))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2999),X3000)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_916])])]) ).
fof(i_0_1292,plain,
! [X3303,X3304] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3303),X3304))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3303),X3304)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3304),X3303))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3303),X3304)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3303),X3304))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3304),X3303))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3303),X3304)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_917])])]) ).
fof(i_0_1293,plain,
! [X3005,X3006] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3005),X3006))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3005),X3006)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3006),X3005))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3005),X3006)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3005),X3006))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3006),X3005))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3005),X3006)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_918])])]) ).
fof(i_0_1294,plain,
! [X3307,X3308] :
( ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3307),X3308))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3307),X3308)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3308),X3307))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3307),X3308)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3307),X3308))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3308),X3307))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3307),X3308)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_919])])]) ).
fof(i_0_1295,plain,
! [X3001,X3002] :
( ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3001),X3002))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3001),X3002)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3002),X3001))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3001),X3002)) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3001),X3002))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3002),X3001))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3001),X3002)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_920])])]) ).
fof(i_0_1296,plain,
! [X3007,X3008] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3007),X3008))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3007),X3008)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3008),X3007))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3007),X3008)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3007),X3008))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3008),X3007))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3007),X3008)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_921])])]) ).
fof(i_0_1297,plain,
! [X3003,X3004] :
( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3003),X3004))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3003),X3004)) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3004),X3003))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3003),X3004)) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3003),X3004))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3004),X3003))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3003),X3004)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_922])])]) ).
fof(i_0_1298,plain,
! [X3971,X3972] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3971),hAPP_nat_nat(suc,X3972)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3971),X3972))
| X3971 = X3972 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_923])]) ).
fof(i_0_1299,plain,
! [X3962,X3963] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3962),X3963))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3962),hAPP_nat_nat(suc,X3963)))
| X3963 = X3962 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_924])]) ).
fof(i_0_1300,plain,
! [X3960,X3961] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3960),hAPP_nat_nat(suc,X3961)))
| X3960 = X3961
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3960),X3961)) )
& ( X3960 != X3961
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3960),hAPP_nat_nat(suc,X3961)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3960),X3961)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_925])])]) ).
fof(i_0_1301,plain,
! [X3956,X3957] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3956),hAPP_nat_nat(suc,X3957)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3956),X3957))
| X3956 = X3957 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3956),X3957))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3956),hAPP_nat_nat(suc,X3957))) )
& ( X3956 != X3957
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3956),hAPP_nat_nat(suc,X3957))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_646_less__Suc__eq])])]) ).
fof(i_0_1302,plain,
! [X3987,X3988] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3987),hAPP_nat_nat(suc,X3988)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3987),X3988)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3987),X3988))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3987),hAPP_nat_nat(suc,X3988))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_662_less__Suc__eq__le])]) ).
fof(i_0_1303,plain,
! [X3929] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X3929)),X3929)),
inference(variable_rename,[status(thm)],[i_0_926]) ).
fof(i_0_1304,plain,
! [X3238,X3239,X3240,X3241,X3242] :
( ( ~ hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X3238),X3239))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3240),arrow_583275979e_Prof))
| hAPP_f1817389232t_bool(X3238,X3240) = hAPP_A340536322t_bool(X3240,X3239) )
& ( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk33_2(X3241,X3242)),arrow_583275979e_Prof))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X3241),X3242)) )
& ( hAPP_f1817389232t_bool(X3241,esk33_2(X3241,X3242)) != hAPP_A340536322t_bool(esk33_2(X3241,X3242),X3242)
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X3241),X3242)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_380_dictator__def])])])])])]) ).
fof(i_0_1305,plain,
! [X4045,X4046] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4045),esk92_2(X4045,X4046)))
| X4046 = hAPP_nat_nat(suc,X4045)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4045),X4046)) )
& ( X4046 = hAPP_nat_nat(suc,esk92_2(X4045,X4046))
| X4046 = hAPP_nat_nat(suc,X4045)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4045),X4046)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_690_lessE])])])]) ).
fof(i_0_1306,plain,
! [X3259,X3260,X3261] :
( ~ is_Arr859726945e_indi(X3259)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3260),X3261))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3259),X3261))
| hAPP_n619554777e_indi(hilber951314860di_nat(X3261,X3260),hAPP_A1895296483di_nat(X3260,X3259)) = X3259 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_386_inv__into__f__f])]) ).
fof(i_0_1307,plain,
! [X3266,X3267,X3268,X3269] :
( ~ is_Arr859726945e_indi(X3267)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3268),X3269))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3267),X3269))
| hAPP_A1895296483di_nat(X3268,X3267) != X3266
| hAPP_n619554777e_indi(hilber951314860di_nat(X3269,X3268),X3266) = X3267 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_388_inv__into__f__eq])]) ).
fof(i_0_1308,plain,
! [X4035,X4036] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4035),X4036))
| X4036 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4035),esk89_2(X4035,X4036))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_685_less__imp__Suc__add])])]) ).
fof(i_0_1309,plain,
! [X3991,X3992,X3994,X3995,X3996] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3991),X3992))
| X3992 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3991),esk85_2(X3991,X3992))) )
& ( X3995 != hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3994),X3996))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3994),X3995)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_664_less__iff__Suc__add])])])])]) ).
fof(i_0_1310,plain,
! [X3256,X3257,X3258] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3257),X3258))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3256),X3258))
| hAPP_nat_nat(hilber195283148at_nat(X3258,X3257),hAPP_nat_nat(X3257,X3256)) = X3256 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_385_inv__into__f__f])]) ).
fof(i_0_1311,plain,
! [X3262,X3263,X3264,X3265] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3264),X3265))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3263),X3265))
| hAPP_nat_nat(X3264,X3263) != X3262
| hAPP_nat_nat(hilber195283148at_nat(X3265,X3264),X3262) = X3263 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_387_inv__into__f__eq])]) ).
fof(i_0_1312,plain,
! [X2969,X2970] :
( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2970),X2969))
| ~ hBOOL(X2970)
| ~ hBOOL(X2969) )
& ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2969),X2970))
| ~ hBOOL(X2970)
| ~ hBOOL(X2969) )
& ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2970),X2969))
| hBOOL(X2970)
| hBOOL(X2969) )
& ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2969),X2970))
| hBOOL(X2970)
| hBOOL(X2969) )
& ( ~ hBOOL(X2970)
| hBOOL(X2969)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2970),X2969))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2969),X2970)) )
& ( ~ hBOOL(X2969)
| hBOOL(X2970)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2970),X2969))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2969),X2970)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_262_order__eq__iff])])]) ).
fof(i_0_1313,plain,
! [X2954,X2955] :
( ( ~ hBOOL(X2955)
| hBOOL(X2954)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2955),X2954))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2954),X2955)) )
& ( ~ hBOOL(X2954)
| hBOOL(X2955)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2955),X2954))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2954),X2955)) )
& ( ~ hBOOL(X2955)
| ~ hBOOL(X2954)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2955),X2954))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2954),X2955)) )
& ( hBOOL(X2955)
| hBOOL(X2954)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2955),X2954))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2954),X2955)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_255_order__antisym__conv])])]) ).
fof(i_0_1314,plain,
! [X2912,X2913] :
( ( ~ hBOOL(X2912)
| hBOOL(X2913)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2913),X2912))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2912),X2913)) )
& ( ~ hBOOL(X2913)
| hBOOL(X2912)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2913),X2912))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2912),X2913)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_240_order__antisym])])]) ).
fof(i_0_1315,plain,
! [X2897,X2898] :
( ( ~ hBOOL(X2898)
| hBOOL(X2897)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2898),X2897))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2897),X2898)) )
& ( ~ hBOOL(X2897)
| hBOOL(X2898)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2898),X2897))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2897),X2898)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_234_xt1_I5_J])])]) ).
fof(i_0_1316,plain,
! [X3285,X3286] :
( ~ is_fun1084921220e_indi(X3285)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3286),top_to207207712i_bool))
| hAPP_A1895296483di_nat(X3286,hAPP_n619554777e_indi(X3285,esk38_2(X3285,X3286))) != esk38_2(X3285,X3286)
| hilber951314860di_nat(top_to207207712i_bool,X3286) = X3285 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_393_inj__imp__inv__eq])])])])]) ).
fof(i_0_1317,plain,
! [X2637,X2638,X2639] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2638),X2639))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2639),X2638))
| hBOOL(X2637) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_129_order__less__imp__triv])]) ).
fof(i_0_1318,plain,
! [X2634,X2635,X2636] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2635),X2636))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2636),X2635))
| hBOOL(X2634) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_128_order__less__imp__triv])]) ).
fof(i_0_1319,plain,
! [X2640,X2641,X2642] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2641),X2642))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2642),X2641))
| hBOOL(X2640) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_130_order__less__imp__triv])]) ).
fof(i_0_1320,plain,
! [X2643,X2644,X2645] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2644),X2645))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2645),X2644))
| hBOOL(X2643) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_131_order__less__imp__triv])]) ).
fof(i_0_1321,plain,
! [X3057,X3058] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3057),X3058))
| X3057 = X3058
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3057),X3058)) )
& ( X3057 != X3058
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3057),X3058))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3057),X3058)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_927])])]) ).
fof(i_0_1322,plain,
! [X3282,X3283] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3283),top_top_fun_nat_bool))
| hAPP_nat_nat(X3283,hAPP_nat_nat(X3282,esk37_2(X3282,X3283))) != esk37_2(X3282,X3283)
| hilber195283148at_nat(top_top_fun_nat_bool,X3283) = X3282 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_392_inj__imp__inv__eq])])]) ).
fof(i_0_1323,plain,
! [X3548,X3549] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3548),X3549))
| X3548 != X3549 )
& ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3549),X3548))
| X3548 != X3549 )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3548),X3549))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3549),X3548))
| X3548 = X3549 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_491_set__eq__subset])])]) ).
fof(i_0_1324,plain,
! [X3399,X3400] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3399),X3400))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3400),X3399))
| X3399 = X3400 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_437_equalityI])]) ).
fof(i_0_1325,plain,
! [X2973,X2974] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2973),X2974))
| X2973 != X2974 )
& ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2974),X2973))
| X2973 != X2974 )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2973),X2974))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2974),X2973))
| X2973 = X2974 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_264_order__eq__iff])])]) ).
fof(i_0_1326,plain,
! [X2958,X2959] :
( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2959),X2958))
| X2959 = X2958
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2958),X2959)) )
& ( X2959 != X2958
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2959),X2958))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2958),X2959)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_257_order__antisym__conv])])]) ).
fof(i_0_1327,plain,
! [X2916,X2917] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2916),X2917))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2917),X2916))
| X2916 = X2917 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_242_order__antisym])]) ).
fof(i_0_1328,plain,
! [X2901,X2902] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2901),X2902))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2902),X2901))
| X2902 = X2901 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_236_xt1_I5_J])]) ).
fof(i_0_1329,plain,
! [X3685,X3686] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3685),X3686))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3686),X3685))
| X3685 = X3686 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_543_le__antisym])]) ).
fof(i_0_1330,plain,
! [X2971,X2972] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2971),X2972))
| X2971 != X2972 )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2972),X2971))
| X2971 != X2972 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2971),X2972))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2972),X2971))
| X2971 = X2972 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_263_order__eq__iff])])]) ).
fof(i_0_1331,plain,
! [X2956,X2957] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2957),X2956))
| X2957 = X2956
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2956),X2957)) )
& ( X2957 != X2956
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2957),X2956))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2956),X2957)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_256_order__antisym__conv])])]) ).
fof(i_0_1332,plain,
! [X2914,X2915] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2914),X2915))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2915),X2914))
| X2914 = X2915 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_241_order__antisym])]) ).
fof(i_0_1333,plain,
! [X2899,X2900] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2899),X2900))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2900),X2899))
| X2900 = X2899 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_235_xt1_I5_J])]) ).
fof(i_0_1334,plain,
! [X3922,X3923] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk84_2(X3922,X3923)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3922),X3923)) )
& ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3922),esk84_2(X3922,X3923)) = X3923
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3922),X3923)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_627_less__imp__add__positive])])])]) ).
fof(i_0_1335,plain,
! [X3936,X3937] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3936),X3937))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3936),hAPP_nat_nat(suc,X3937))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_635_le__SucI])]) ).
fof(i_0_1336,plain,
! [X3983,X3984] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3983),X3984))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3983),hAPP_nat_nat(suc,X3984))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_660_le__imp__less__Suc])]) ).
fof(i_0_1337,plain,
! [X3964,X3965] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3964),X3965))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3964),hAPP_nat_nat(suc,X3965))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_650_less__SucI])]) ).
fof(i_0_1338,plain,
! [X2672,X2673] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2672),X2673))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2673),X2672)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_928])]) ).
fof(i_0_1339,plain,
! [X2664,X2665] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2664),X2665))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2665),X2664)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_929])]) ).
fof(i_0_1340,plain,
! [X2628,X2629] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2628),X2629))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2629),X2628)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_930])]) ).
fof(i_0_1341,plain,
! [X2620,X2621] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2620),X2621))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2621),X2620)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_931])]) ).
fof(i_0_1342,plain,
! [X2540,X2541] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2540),X2541))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2541),X2540)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_932])]) ).
fof(i_0_1343,plain,
! [X2670,X2671] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2670),X2671))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2671),X2670)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_933])]) ).
fof(i_0_1344,plain,
! [X2662,X2663] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2662),X2663))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2663),X2662)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_934])]) ).
fof(i_0_1345,plain,
! [X2626,X2627] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2626),X2627))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2627),X2626)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_935])]) ).
fof(i_0_1346,plain,
! [X2618,X2619] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2618),X2619))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2619),X2618)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_936])]) ).
fof(i_0_1347,plain,
! [X2538,X2539] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2538),X2539))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2539),X2538)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_937])]) ).
fof(i_0_1348,plain,
! [X2674,X2675] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2674),X2675))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2675),X2674)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_938])]) ).
fof(i_0_1349,plain,
! [X2666,X2667] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2666),X2667))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2667),X2666)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_939])]) ).
fof(i_0_1350,plain,
! [X2630,X2631] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2630),X2631))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2631),X2630)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_940])]) ).
fof(i_0_1351,plain,
! [X2622,X2623] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2622),X2623))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2623),X2622)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_941])]) ).
fof(i_0_1352,plain,
! [X2542,X2543] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2542),X2543))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2543),X2542)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_942])]) ).
fof(i_0_1353,plain,
! [X2985,X2986] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2985),X2986))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2986),X2985)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2986),X2985))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2985),X2986)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_943])]) ).
fof(i_0_1354,plain,
! [X3045,X3046] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3045),X3046))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3046),X3045)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_944])]) ).
fof(i_0_1355,plain,
! [X2983,X2984] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2983),X2984))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2984),X2983)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2984),X2983))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2983),X2984)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_945])]) ).
fof(i_0_1356,plain,
! [X2692,X2693] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2692),X2693))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2693),X2692))
| X2692 = X2693 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2693),X2692))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2692),X2693)) )
& ( X2692 != X2693
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2692),X2693)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_946])])]) ).
fof(i_0_1357,plain,
! [X2676,X2677] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2676),X2677))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2677),X2676)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_947])]) ).
fof(i_0_1358,plain,
! [X2668,X2669] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2668),X2669))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2669),X2668)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_948])]) ).
fof(i_0_1359,plain,
! [X2632,X2633] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2632),X2633))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2633),X2632)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_949])]) ).
fof(i_0_1360,plain,
! [X2624,X2625] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2624),X2625))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2625),X2624)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_950])]) ).
fof(i_0_1361,plain,
! [X2544,X2545] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2544),X2545))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2545),X2544)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_951])]) ).
fof(i_0_1362,plain,
! [X3660,X3661,X3662] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| X3661 = X3662
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3661),X3662)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| X3661 = X3662
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3661),X3662)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3661),X3662)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3661),X3662)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| X3661 = X3662
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| X3661 = X3662
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3660,X3662),X3661)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_533_nat__less__cases])])]) ).
fof(i_0_1363,plain,
! [X3327,X3328,X3329] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3328),X3329))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3327),X3329))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3328),X3327)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_413_subset__inj__on])]) ).
fof(i_0_1364,plain,
! [X3330,X3331,X3332] :
( ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3331),X3332))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3330),X3332))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3331),X3330)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_414_subset__inj__on])]) ).
fof(i_0_1365,plain,
! [X3837,X3838] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk70_2(X3837,X3838)),X3838))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3837),X3838)) )
& ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk71_2(X3837,X3838)),X3838))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3837),X3838)) )
& ( hAPP_nat_nat(X3837,esk70_2(X3837,X3838)) = hAPP_nat_nat(X3837,esk71_2(X3837,X3838))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3837),X3838)) )
& ( esk70_2(X3837,X3838) != esk71_2(X3837,X3838)
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3837),X3838)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_591_inj__onI])])])])]) ).
fof(i_0_1366,plain,
! [X3841,X3842] :
( ( is_Arr859726945e_indi(esk72_2(X3841,X3842))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3841),X3842)) )
& ( is_Arr859726945e_indi(esk73_2(X3841,X3842))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3841),X3842)) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk72_2(X3841,X3842)),X3842))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3841),X3842)) )
& ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk73_2(X3841,X3842)),X3842))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3841),X3842)) )
& ( hAPP_A1895296483di_nat(X3841,esk72_2(X3841,X3842)) = hAPP_A1895296483di_nat(X3841,esk73_2(X3841,X3842))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3841),X3842)) )
& ( esk72_2(X3841,X3842) != esk73_2(X3841,X3842)
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3841),X3842)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_592_inj__onI])])])]) ).
fof(i_0_1367,plain,
! [X3731,X3732] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3731),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3731),X3732))),
inference(variable_rename,[status(thm)],[fact_561_le__add1]) ).
fof(i_0_1368,plain,
! [X3729,X3730] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3729),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3730),X3729))),
inference(variable_rename,[status(thm)],[fact_560_le__add2]) ).
fof(i_0_1369,plain,
! [X3665,X3666,X3667] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3665),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3666),X3667)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3666),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3665),X3667)),
inference(variable_rename,[status(thm)],[fact_535_nat__add__left__commute]) ).
fof(i_0_1370,plain,
! [X3288] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3288),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3288),one_one_nat))),
inference(variable_rename,[status(thm)],[fact_394_less__add__one]) ).
fof(i_0_1371,plain,
! [X3433,X3434] :
( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3433),X3434))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3433),X3434))
| X3433 = X3434
| ~ is_fun1568535512t_bool(X3433)
| ~ is_fun1568535512t_bool(X3434) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3433),X3434))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3433),X3434))
| ~ is_fun1568535512t_bool(X3433)
| ~ is_fun1568535512t_bool(X3434) )
& ( X3433 != X3434
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3433),X3434))
| ~ is_fun1568535512t_bool(X3433)
| ~ is_fun1568535512t_bool(X3434) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_450_subset__iff__psubset__eq])])]) ).
fof(i_0_1372,plain,
! [X3427,X3428] :
( ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3427),X3428))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3427),X3428))
| ~ is_fun1568535512t_bool(X3427)
| ~ is_fun1568535512t_bool(X3428) )
& ( X3427 != X3428
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3427),X3428))
| ~ is_fun1568535512t_bool(X3427)
| ~ is_fun1568535512t_bool(X3428) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3427),X3428))
| X3427 = X3428
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3427),X3428))
| ~ is_fun1568535512t_bool(X3427)
| ~ is_fun1568535512t_bool(X3428) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_447_psubset__eq])])]) ).
fof(i_0_1373,plain,
! [X3081,X3082] :
( ~ is_fun1568535512t_bool(X3081)
| ~ is_fun1568535512t_bool(X3082)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3081),X3082))
| X3082 = X3081
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3081),X3082)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_316_xt1_I11_J])]) ).
fof(i_0_1374,plain,
! [X3069,X3070] :
( ~ is_fun1568535512t_bool(X3069)
| ~ is_fun1568535512t_bool(X3070)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3069),X3070))
| X3069 = X3070
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3069),X3070)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_310_order__le__neq__trans])]) ).
fof(i_0_1375,plain,
! [X3059,X3060] :
( ~ is_fun1568535512t_bool(X3059)
| ~ is_fun1568535512t_bool(X3060)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3059),X3060))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3059),X3060))
| X3059 = X3060 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_305_order__le__imp__less__or__eq])]) ).
fof(i_0_1376,plain,
! [X3025,X3026] :
( ~ is_fun1568535512t_bool(X3025)
| ~ is_fun1568535512t_bool(X3026)
| X3025 = X3026
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3025),X3026))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3025),X3026)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_order__neq__le__trans])]) ).
fof(i_0_1377,plain,
! [X3009,X3010] :
( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3009),X3010))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3009),X3010))
| X3009 = X3010
| ~ is_fun1568535512t_bool(X3009)
| ~ is_fun1568535512t_bool(X3010) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3009),X3010))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3009),X3010))
| ~ is_fun1568535512t_bool(X3009)
| ~ is_fun1568535512t_bool(X3010) )
& ( X3009 != X3010
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3009),X3010))
| ~ is_fun1568535512t_bool(X3009)
| ~ is_fun1568535512t_bool(X3010) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_280_order__le__less])])]) ).
fof(i_0_1378,plain,
! [X2989,X2990] :
( ( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2989),X2990))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2989),X2990))
| ~ is_fun1568535512t_bool(X2989)
| ~ is_fun1568535512t_bool(X2990) )
& ( X2989 != X2990
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2989),X2990))
| ~ is_fun1568535512t_bool(X2989)
| ~ is_fun1568535512t_bool(X2990) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2989),X2990))
| X2989 = X2990
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2989),X2990))
| ~ is_fun1568535512t_bool(X2989)
| ~ is_fun1568535512t_bool(X2990) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_270_order__less__le])])]) ).
fof(i_0_1379,plain,
! [X3035,X3036] :
( ~ is_fun1568535512t_bool(X3035)
| ~ is_fun1568535512t_bool(X3036)
| X3035 = X3036
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3036),X3035))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3036),X3035)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_293_xt1_I12_J])]) ).
fof(i_0_1380,plain,
! [X3435,X3436] :
( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3435),X3436))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3435),X3436))
| X3435 = X3436
| ~ is_fun2015243113i_bool(X3435)
| ~ is_fun2015243113i_bool(X3436) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3435),X3436))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3435),X3436))
| ~ is_fun2015243113i_bool(X3435)
| ~ is_fun2015243113i_bool(X3436) )
& ( X3435 != X3436
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3435),X3436))
| ~ is_fun2015243113i_bool(X3435)
| ~ is_fun2015243113i_bool(X3436) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_451_subset__iff__psubset__eq])])]) ).
fof(i_0_1381,plain,
! [X3429,X3430] :
( ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3429),X3430))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3429),X3430))
| ~ is_fun2015243113i_bool(X3429)
| ~ is_fun2015243113i_bool(X3430) )
& ( X3429 != X3430
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3429),X3430))
| ~ is_fun2015243113i_bool(X3429)
| ~ is_fun2015243113i_bool(X3430) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3429),X3430))
| X3429 = X3430
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3429),X3430))
| ~ is_fun2015243113i_bool(X3429)
| ~ is_fun2015243113i_bool(X3430) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_448_psubset__eq])])]) ).
fof(i_0_1382,plain,
! [X3083,X3084] :
( ~ is_fun2015243113i_bool(X3083)
| ~ is_fun2015243113i_bool(X3084)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3083),X3084))
| X3084 = X3083
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3083),X3084)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_317_xt1_I11_J])]) ).
fof(i_0_1383,plain,
! [X3071,X3072] :
( ~ is_fun2015243113i_bool(X3071)
| ~ is_fun2015243113i_bool(X3072)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3071),X3072))
| X3071 = X3072
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3071),X3072)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_311_order__le__neq__trans])]) ).
fof(i_0_1384,plain,
! [X3061,X3062] :
( ~ is_fun2015243113i_bool(X3061)
| ~ is_fun2015243113i_bool(X3062)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3061),X3062))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3061),X3062))
| X3061 = X3062 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_306_order__le__imp__less__or__eq])]) ).
fof(i_0_1385,plain,
! [X3027,X3028] :
( ~ is_fun2015243113i_bool(X3027)
| ~ is_fun2015243113i_bool(X3028)
| X3027 = X3028
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3027),X3028))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3027),X3028)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_289_order__neq__le__trans])]) ).
fof(i_0_1386,plain,
! [X3011,X3012] :
( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3011),X3012))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3011),X3012))
| X3011 = X3012
| ~ is_fun2015243113i_bool(X3011)
| ~ is_fun2015243113i_bool(X3012) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3011),X3012))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3011),X3012))
| ~ is_fun2015243113i_bool(X3011)
| ~ is_fun2015243113i_bool(X3012) )
& ( X3011 != X3012
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3011),X3012))
| ~ is_fun2015243113i_bool(X3011)
| ~ is_fun2015243113i_bool(X3012) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_281_order__le__less])])]) ).
fof(i_0_1387,plain,
! [X2991,X2992] :
( ( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2991),X2992))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2991),X2992))
| ~ is_fun2015243113i_bool(X2991)
| ~ is_fun2015243113i_bool(X2992) )
& ( X2991 != X2992
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2991),X2992))
| ~ is_fun2015243113i_bool(X2991)
| ~ is_fun2015243113i_bool(X2992) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2991),X2992))
| X2991 = X2992
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2991),X2992))
| ~ is_fun2015243113i_bool(X2991)
| ~ is_fun2015243113i_bool(X2992) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_271_order__less__le])])]) ).
fof(i_0_1388,plain,
! [X3037,X3038] :
( ~ is_fun2015243113i_bool(X3037)
| ~ is_fun2015243113i_bool(X3038)
| X3037 = X3038
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3038),X3037))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3038),X3037)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_294_xt1_I12_J])]) ).
fof(i_0_1389,plain,
! [X2945,X2946,X2947] :
( ( ~ hBOOL(X2947)
| ~ hBOOL(X2946)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2946),X2945))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2947),X2945)) )
& ( hBOOL(X2947)
| hBOOL(X2946)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2946),X2945))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2947),X2945)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_252_ord__eq__le__trans])])]) ).
fof(i_0_1390,plain,
! [X2918,X2919,X2920] :
( ( ~ hBOOL(X2919)
| ~ hBOOL(X2918)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2918),X2920))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2919),X2920)) )
& ( hBOOL(X2919)
| hBOOL(X2918)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2918),X2920))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2919),X2920)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_243_xt1_I4_J])])]) ).
fof(i_0_1391,plain,
! [X2936,X2937,X2938] :
( ( ~ hBOOL(X2938)
| ~ hBOOL(X2937)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2936),X2937))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2936),X2938)) )
& ( hBOOL(X2938)
| hBOOL(X2937)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2936),X2937))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2936),X2938)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_249_xt1_I3_J])])]) ).
fof(i_0_1392,plain,
! [X2927,X2928,X2929] :
( ( ~ hBOOL(X2929)
| ~ hBOOL(X2927)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2928),X2927))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2928),X2929)) )
& ( hBOOL(X2929)
| hBOOL(X2927)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2928),X2927))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2928),X2929)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_246_ord__le__eq__trans])])]) ).
fof(i_0_1393,plain,
! [X3087,X3088] :
( ( ~ hBOOL(X3088)
| hBOOL(X3087)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3087),X3088))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3087),X3088)) )
& ( ~ hBOOL(X3087)
| hBOOL(X3088)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3087),X3088))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3087),X3088)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_319_xt1_I11_J])])]) ).
fof(i_0_1394,plain,
! [X3073,X3074] :
( ( ~ hBOOL(X3073)
| hBOOL(X3074)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3073),X3074))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3073),X3074)) )
& ( ~ hBOOL(X3074)
| hBOOL(X3073)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3073),X3074))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3073),X3074)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_312_order__le__neq__trans])])]) ).
fof(i_0_1395,plain,
! [X3063,X3064] :
( ( ~ hBOOL(X3063)
| hBOOL(X3064)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3063),X3064))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3063),X3064)) )
& ( ~ hBOOL(X3064)
| hBOOL(X3063)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3063),X3064))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3063),X3064)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307_order__le__imp__less__or__eq])])]) ).
fof(i_0_1396,plain,
! [X3039,X3040] :
( ( ~ hBOOL(X3040)
| hBOOL(X3039)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3039),X3040))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3039),X3040)) )
& ( ~ hBOOL(X3039)
| hBOOL(X3040)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3039),X3040))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3039),X3040)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_295_xt1_I12_J])])]) ).
fof(i_0_1397,plain,
! [X3029,X3030] :
( ( ~ hBOOL(X3030)
| hBOOL(X3029)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3030),X3029))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3030),X3029)) )
& ( ~ hBOOL(X3029)
| hBOOL(X3030)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3030),X3029))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3030),X3029)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_290_order__neq__le__trans])])]) ).
fof(i_0_1398,plain,
! [X3013,X3014] :
( ( ~ hBOOL(X3013)
| hBOOL(X3014)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3013),X3014))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3013),X3014)) )
& ( ~ hBOOL(X3014)
| hBOOL(X3013)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3013),X3014))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3013),X3014)) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3013),X3014))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3013),X3014)) )
& ( ~ hBOOL(X3013)
| ~ hBOOL(X3014)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3013),X3014)) )
& ( hBOOL(X3013)
| hBOOL(X3014)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3013),X3014)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_282_order__le__less])])]) ).
fof(i_0_1399,plain,
! [X2993,X2994] :
( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2993),X2994))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2993),X2994)) )
& ( ~ hBOOL(X2993)
| ~ hBOOL(X2994)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2993),X2994)) )
& ( hBOOL(X2993)
| hBOOL(X2994)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2993),X2994)) )
& ( ~ hBOOL(X2993)
| hBOOL(X2994)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2993),X2994))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2993),X2994)) )
& ( ~ hBOOL(X2994)
| hBOOL(X2993)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2993),X2994))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2993),X2994)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_272_order__less__le])])]) ).
fof(i_0_1400,plain,
! [X3431,X3432] :
( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3431),X3432))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3431),X3432))
| X3431 = X3432 )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3431),X3432))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3431),X3432)) )
& ( X3431 != X3432
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3431),X3432)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_449_subset__iff__psubset__eq])])]) ).
fof(i_0_1401,plain,
! [X3425,X3426] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3425),X3426))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3425),X3426)) )
& ( X3425 != X3426
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3425),X3426)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3425),X3426))
| X3425 = X3426
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3425),X3426)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_446_psubset__eq])])]) ).
fof(i_0_1402,plain,
! [X3079,X3080] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3079),X3080))
| X3080 = X3079
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3079),X3080)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_315_xt1_I11_J])]) ).
fof(i_0_1403,plain,
! [X3075,X3076] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3075),X3076))
| X3075 = X3076
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3075),X3076)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_313_order__le__neq__trans])]) ).
fof(i_0_1404,plain,
! [X3065,X3066] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3065),X3066))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3065),X3066))
| X3065 = X3066 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_308_order__le__imp__less__or__eq])]) ).
fof(i_0_1405,plain,
! [X3031,X3032] :
( X3031 = X3032
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3031),X3032))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3031),X3032)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_291_order__neq__le__trans])]) ).
fof(i_0_1406,plain,
! [X3015,X3016] :
( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3015),X3016))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3015),X3016))
| X3015 = X3016 )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3015),X3016))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3015),X3016)) )
& ( X3015 != X3016
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3015),X3016)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_283_order__le__less])])]) ).
fof(i_0_1407,plain,
! [X2995,X2996] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2995),X2996))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2995),X2996)) )
& ( X2995 != X2996
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2995),X2996)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2995),X2996))
| X2995 = X2996
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2995),X2996)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_273_order__less__le])])]) ).
fof(i_0_1408,plain,
! [X3041,X3042] :
( X3041 = X3042
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3042),X3041))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3042),X3041)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_296_xt1_I12_J])]) ).
fof(i_0_1409,plain,
! [X3725,X3726] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3725),X3726))
| X3725 = X3726
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3725),X3726)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_558_le__neq__implies__less])]) ).
fof(i_0_1410,plain,
! [X3721,X3722] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3721),X3722))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3721),X3722))
| X3721 = X3722 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3721),X3722))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3721),X3722)) )
& ( X3721 != X3722
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3721),X3722)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_556_le__eq__less__or__eq])])]) ).
fof(i_0_1411,plain,
! [X3719,X3720] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3719),X3720))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3719),X3720)) )
& ( X3719 != X3720
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3719),X3720)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3719),X3720))
| X3719 = X3720
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3719),X3720)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_555_nat__less__le])])]) ).
fof(i_0_1412,plain,
! [X3085,X3086] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3085),X3086))
| X3086 = X3085
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3085),X3086)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_318_xt1_I11_J])]) ).
fof(i_0_1413,plain,
! [X3077,X3078] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3077),X3078))
| X3077 = X3078
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3077),X3078)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_314_order__le__neq__trans])]) ).
fof(i_0_1414,plain,
! [X3067,X3068] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3067),X3068))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3067),X3068))
| X3067 = X3068 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_309_order__le__imp__less__or__eq])]) ).
fof(i_0_1415,plain,
! [X3033,X3034] :
( X3033 = X3034
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3033),X3034))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3033),X3034)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_292_order__neq__le__trans])]) ).
fof(i_0_1416,plain,
! [X3023,X3024] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3023),X3024))
| X3023 = X3024
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3023),X3024)) )
& ( X3023 != X3024
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3023),X3024))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3023),X3024)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_952])])]) ).
fof(i_0_1417,plain,
! [X3017,X3018] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3017),X3018))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3017),X3018))
| X3017 = X3018 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3017),X3018))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3017),X3018)) )
& ( X3017 != X3018
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3017),X3018)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_284_order__le__less])])]) ).
fof(i_0_1418,plain,
! [X2997,X2998] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2997),X2998))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2997),X2998)) )
& ( X2997 != X2998
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2997),X2998)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2997),X2998))
| X2997 = X2998
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2997),X2998)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_274_order__less__le])])]) ).
fof(i_0_1419,plain,
! [X3043,X3044] :
( X3043 = X3044
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3044),X3043))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3044),X3043)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_xt1_I12_J])]) ).
fof(i_0_1420,plain,
! [X3514,X3515,X3516] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3515),X3516))
| ~ hBOOL(hAPP_nat_bool(X3515,X3514))
| hBOOL(hAPP_nat_bool(X3516,X3514)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_479_predicate1D])]) ).
fof(i_0_1421,plain,
! [X3545,X3546,X3547] :
( ~ hBOOL(hAPP_nat_bool(X3546,X3547))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3546),X3545))
| hBOOL(hAPP_nat_bool(X3545,X3547)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_490_rev__predicate1D])]) ).
fof(i_0_1422,plain,
! [X3439,X3440] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3439),X3440))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3439),X3440)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_453_psubset__imp__subset])]) ).
fof(i_0_1423,plain,
! [X3047,X3048] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3047),X3048))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3047),X3048)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_299_order__less__imp__le])]) ).
fof(i_0_1424,plain,
! [X3437,X3438] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3437),X3438))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3437),X3438)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_452_psubset__imp__subset])]) ).
fof(i_0_1425,plain,
! [X3053,X3054] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3053),X3054))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3053),X3054)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_302_order__less__imp__le])]) ).
fof(i_0_1426,plain,
! [X3441,X3442] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3441),X3442))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3441),X3442)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_454_psubset__imp__subset])]) ).
fof(i_0_1427,plain,
! [X3049,X3050] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3049),X3050))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3049),X3050)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_300_order__less__imp__le])]) ).
fof(i_0_1428,plain,
! [X3777,X3778] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3777),X3778))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3777),X3778)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_574_termination__basic__simps_I5_J])]) ).
fof(i_0_1429,plain,
! [X3727,X3728] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3727),X3728))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3727),X3728)) )
& ( X3727 != X3728
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3727),X3728)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_559_less__or__eq__imp__le])])]) ).
fof(i_0_1430,plain,
! [X3723,X3724] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3723),X3724))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3723),X3724)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_557_less__imp__le__nat])]) ).
fof(i_0_1431,plain,
! [X3055,X3056] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3055),X3056))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3055),X3056)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_303_order__less__imp__le])]) ).
fof(i_0_1432,plain,
! [X3051,X3052] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3051),X3052))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3051),X3052)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_301_order__less__imp__le])]) ).
fof(i_0_1433,plain,
! [X3733,X3734,X3736,X3737,X3738] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3733),X3734))
| X3734 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3733),esk55_2(X3733,X3734)) )
& ( X3737 != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3736),X3738)
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3736),X3737)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_562_le__iff__add])])])])]) ).
fof(i_0_1434,plain,
! [X4009] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4009),hAPP_nat_nat(suc,zero_zero_nat)))
| X4009 = zero_zero_nat )
& ( X4009 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4009),hAPP_nat_nat(suc,zero_zero_nat))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_670_less__Suc0])]) ).
fof(i_0_1435,plain,
! [X4055,X4056] :
( ( hBOOL(hAPP_nat_bool(X4055,hAPP_nat_nat(suc,esk96_1(X4055))))
| hBOOL(hAPP_nat_bool(X4055,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X4055,X4056)) )
& ( ~ hBOOL(hAPP_nat_bool(X4055,esk96_1(X4055)))
| hBOOL(hAPP_nat_bool(X4055,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X4055,X4056)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_694_zero__induct])])])])])]) ).
fof(i_0_1436,plain,
! [X3950,X3951] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X3950)),X3951) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3950),X3951)),
inference(variable_rename,[status(thm)],[fact_643_add__Suc]) ).
cnf(i_0_1437,plain,
hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1)))),
inference(split_conjunct,[status(thm)],[i_0_953]) ).
cnf(i_0_1438,plain,
hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1)))),
inference(split_conjunct,[status(thm)],[i_0_954]) ).
fof(i_0_1439,plain,
! [X3653,X3654] :
( X3653 = X3654
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3653),X3654))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3654),X3653)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_955])]) ).
fof(i_0_1440,plain,
! [X3651,X3652] :
( ( X3651 = X3652
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3651),X3652))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3652),X3651)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3651),X3652))
| X3651 != X3652 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3652),X3651))
| X3651 != X3652 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_528_nat__neq__iff])])]) ).
fof(i_0_1441,plain,
! [X2694,X2695] :
( ( X2694 = X2695
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2694),X2695))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2695),X2694)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2694),X2695))
| X2694 != X2695 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2695),X2694))
| X2694 != X2695 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_156_linorder__neq__iff])])]) ).
fof(i_0_1442,plain,
! [X2690,X2691] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2690),X2691))
| X2690 = X2691
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2691),X2690)) ),
inference(variable_rename,[status(thm)],[fact_154_linorder__less__linear]) ).
fof(i_0_1443,plain,
! [X2688,X2689] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2689),X2688))
| X2689 = X2688
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2688),X2689)) )
& ( X2689 != X2688
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2689),X2688))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2688),X2689)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_956])])]) ).
fof(i_0_1444,plain,
! [X2686,X2687] :
( X2686 = X2687
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2686),X2687))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2687),X2686)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_957])]) ).
fof(i_0_1445,plain,
! [X2536,X2537] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2536),X2537))
| X2536 = X2537
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2537),X2536)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_958])]) ).
fof(i_0_1446,plain,
! [X3678,X3679] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3678),X3679))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3679),X3678)) ),
inference(variable_rename,[status(thm)],[fact_540_nat__le__linear]) ).
fof(i_0_1447,plain,
! [X2975,X2976] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2975),X2976))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2976),X2975)) ),
inference(variable_rename,[status(thm)],[fact_265_linorder__linear]) ).
fof(i_0_1448,plain,
! [X2883,X2884] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2883),X2884))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2884),X2883)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_959])]) ).
fof(i_0_1449,plain,
! [X3019,X3020] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3019),X3020))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3020),X3019)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_960])]) ).
fof(i_0_1450,plain,
! [X3021,X3022] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3021),X3022))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3022),X3021)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_961])]) ).
fof(i_0_1451,plain,
! [X2987,X2988] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2987),X2988))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2988),X2987)) ),
inference(variable_rename,[status(thm)],[fact_269_linorder__le__less__linear]) ).
fof(i_0_1452,plain,
! [X2706,X2707] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2706),X2707))
| hBOOL(hAPP_P1813625415t_bool(X2707,X2706)) )
& ( ~ hBOOL(hAPP_P1813625415t_bool(X2707,X2706))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2706),X2707)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_171_mem__def])]) ).
fof(i_0_1453,plain,
! [X2712,X2713] :
( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2712),X2713))
| hBOOL(hAPP_f1733357041l_bool(X2713,X2712)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(X2713,X2712))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2712),X2713)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_174_mem__def])]) ).
fof(i_0_1454,plain,
! [X2710,X2711] :
( ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2710),X2711))
| hBOOL(hAPP_f446648900l_bool(X2711,X2710)) )
& ( ~ hBOOL(hAPP_f446648900l_bool(X2711,X2710))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2710),X2711)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_173_mem__def])]) ).
fof(i_0_1455,plain,
! [X2708,X2709] :
( ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2708),X2709))
| hBOOL(hAPP_f1378099862l_bool(X2709,X2708)) )
& ( ~ hBOOL(hAPP_f1378099862l_bool(X2709,X2708))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2708),X2709)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_172_mem__def])]) ).
fof(i_0_1456,plain,
! [X2704,X2705] :
( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2704),X2705))
| hBOOL(hAPP_P1676879539t_bool(X2705,X2704)) )
& ( ~ hBOOL(hAPP_P1676879539t_bool(X2705,X2704))
| hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2704),X2705)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_170_mem__def])]) ).
fof(i_0_1457,plain,
! [X2714,X2715] :
( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2714),X2715))
| hBOOL(hAPP_nat_bool(X2715,X2714)) )
& ( ~ hBOOL(hAPP_nat_bool(X2715,X2714))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2714),X2715)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_175_mem__def])]) ).
fof(i_0_1458,plain,
! [X2702,X2703] :
( ( ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2702),X2703))
| hBOOL(hAPP_bool_bool(X2703,X2702)) )
& ( ~ hBOOL(hAPP_bool_bool(X2703,X2702))
| hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2702),X2703)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_169_mem__def])]) ).
fof(i_0_1459,plain,
! [X2700,X2701] :
( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2700),X2701))
| hBOOL(hAPP_A416869060i_bool(X2701,X2700)) )
& ( ~ hBOOL(hAPP_A416869060i_bool(X2701,X2700))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2700),X2701)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_168_mem__def])]) ).
fof(i_0_1460,plain,
! [X2445,X2446,X2447,X2448] :
( ( X2445 = X2447
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2445),X2446) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2447),X2448)
| ~ is_Arr723427730le_alt(X2445)
| ~ is_Arr723427730le_alt(X2446)
| ~ is_Arr723427730le_alt(X2447)
| ~ is_Arr723427730le_alt(X2448) )
& ( X2446 = X2448
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2445),X2446) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2447),X2448)
| ~ is_Arr723427730le_alt(X2445)
| ~ is_Arr723427730le_alt(X2446)
| ~ is_Arr723427730le_alt(X2447)
| ~ is_Arr723427730le_alt(X2448) )
& ( X2445 != X2447
| X2446 != X2448
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2445),X2446) = hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2447),X2448)
| ~ is_Arr723427730le_alt(X2445)
| ~ is_Arr723427730le_alt(X2446)
| ~ is_Arr723427730le_alt(X2447)
| ~ is_Arr723427730le_alt(X2448) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_22_Pair__eq])])]) ).
fof(i_0_1461,plain,
! [X2441,X2442,X2443,X2444] :
( ( X2441 = X2443
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2441),X2442) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2443),X2444)
| ~ is_Arr723427730le_alt(X2441)
| ~ is_Arr723427730le_alt(X2442)
| ~ is_Arr723427730le_alt(X2443)
| ~ is_Arr723427730le_alt(X2444) )
& ( X2442 = X2444
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2441),X2442) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2443),X2444)
| ~ is_Arr723427730le_alt(X2441)
| ~ is_Arr723427730le_alt(X2442)
| ~ is_Arr723427730le_alt(X2443)
| ~ is_Arr723427730le_alt(X2444) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_21_Pair__inject])])]) ).
fof(i_0_1462,plain,
! [X3952,X3953] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3952),hAPP_nat_nat(suc,X3953)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3952),X3953)),
inference(variable_rename,[status(thm)],[fact_644_add__Suc__right]) ).
fof(i_0_1463,plain,
! [X3948,X3949] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X3948)),X3949) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3948),hAPP_nat_nat(suc,X3949)),
inference(variable_rename,[status(thm)],[fact_642_add__Suc__shift]) ).
fof(i_0_1464,plain,
! [X2737,X2738] :
( ~ is_Arr859726945e_indi(X2737)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2738),top_to207207712i_bool))
| hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X2738),hAPP_A1895296483di_nat(X2738,X2737)) = X2737 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_186_inv__f__f])]) ).
fof(i_0_1465,plain,
! [X2196,X2197,X2198] :
( ~ is_fun20916972t_bool(X2196)
| ~ is_Arr723427730le_alt(X2197)
| ~ is_Arr723427730le_alt(X2198)
| is_bool(in_rel1361124802le_alt(X2196,X2197,X2198)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_FunDef_Oin__rel_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000])]) ).
fof(i_0_1466,plain,
! [X2193,X2194,X2195] :
( ~ is_fun20916972t_bool(X2193)
| ~ is_Arr723427730le_alt(X2194)
| ~ is_Arr723427730le_alt(X2195)
| is_fun20916972t_bool(arrow_207701375_below(X2193,X2194,X2195)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Obelow])]) ).
fof(i_0_1467,plain,
! [X2731,X2732,X2733] :
( ~ is_Arr859726945e_indi(X2731)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2733),top_to207207712i_bool))
| hAPP_A1895296483di_nat(X2733,X2731) != X2732
| hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X2733),X2732) = X2731 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_184_inv__f__eq])]) ).
fof(i_0_1468,plain,
! [X4038] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4038))
| X4038 = hAPP_nat_nat(suc,esk90_1(X4038)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_686_gr0__implies__Suc])])]) ).
fof(i_0_1469,plain,
! [X4005,X4007,X4008] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4005))
| X4005 = hAPP_nat_nat(suc,esk86_1(X4005)) )
& ( X4007 != hAPP_nat_nat(suc,X4008)
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X4007)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_669_gr0__conv__Suc])])])])]) ).
fof(i_0_1470,plain,
! [X2512] :
( ( ~ hBOOL(X2512)
| hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2512),top_top_bool)) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(X2512)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2512),top_top_bool)) )
& ( ~ hBOOL(X2512)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2512),top_top_bool)) )
& ( hBOOL(X2512)
| hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2512),top_top_bool)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_less__top])])]) ).
fof(i_0_1471,plain,
! [X2739,X2740] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2740),top_top_fun_nat_bool))
| hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X2740),hAPP_nat_nat(X2740,X2739)) = X2739 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_187_inv__f__f])]) ).
fof(i_0_1472,plain,
! [X4190,X4191,X4192] : hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X4190),X4191),X4192) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X4190,X4192),X4191),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_052]) ).
fof(i_0_1473,plain,
! [X4151,X4152,X4153] : hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X4151),X4152),X4153) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X4151,X4153),X4152),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t_047]) ).
fof(i_0_1474,plain,
! [X4157,X4158,X4159] : hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X4157),X4158),X4159) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X4157,X4159),X4158),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_048]) ).
fof(i_0_1475,plain,
! [X4082,X4083,X4084] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X4082),X4083),X4084) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X4082,X4084),X4083),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__Nat__Onat_U]) ).
fof(i_0_1476,plain,
! [X4154,X4155,X4156] : hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X4154),X4155),X4156) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X4154,X4156),X4155),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_]) ).
fof(i_0_1477,plain,
! [X4160,X4161,X4162] : hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X4160),X4161),X4162) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X4160,X4162),X4161),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy]) ).
fof(i_0_1478,plain,
! [X4202,X4203,X4204] : hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X4202),X4203),X4204) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X4202,X4204),X4203),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl]) ).
fof(i_0_1479,plain,
! [X4181,X4182,X4183] : hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X4181),X4182),X4183) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X4181,X4183),X4182),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__]) ).
fof(i_0_1480,plain,
! [X4115,X4116,X4117] : hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X4115),X4116),X4117) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X4115,X4117),X4116),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Product____Type__Ounit_000tc__fun_Itc__Product____Ty]) ).
fof(i_0_1481,plain,
! [X4098,X4099,X4100] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X4098),X4099),X4100) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X4098,X4100),X4099),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_]) ).
fof(i_0_1482,plain,
! [X4085,X4086,X4087] : hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X4085),X4086),X4087) = hAPP_nat_bool(hAPP_n1699378549t_bool(X4085,X4087),X4086),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U]) ).
fof(i_0_1483,plain,
! [X4104,X4105,X4106] : hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X4104),X4105),X4106) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X4104,X4106),X4105),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo]) ).
fof(i_0_1484,plain,
! [X4166,X4167,X4168] : hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X4166),X4167),X4168) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X4166,X4168),X4167),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_049]) ).
fof(i_0_1485,plain,
! [X4148,X4149,X4150] : hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X4148),X4149),X4150) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X4148,X4150),X4149),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_046]) ).
fof(i_0_1486,plain,
! [X4128,X4129,X4130] : hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X4128),X4129),X4130) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X4128,X4130),X4129),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_044]) ).
fof(i_0_1487,plain,
! [X4107,X4108,X4109] : hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X4107),X4108),X4109) = hAPP_nat_bool(hAPP_A1948275303t_bool(X4107,X4109),X4108),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000]) ).
fof(i_0_1488,plain,
! [X4139,X4140,X4141] : hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X4139),X4140),X4141) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X4139,X4141),X4140),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000t]) ).
fof(i_0_1489,plain,
! [X2513] :
( ( X2513 = top_to1773227171t_bool
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X2513),top_to1773227171t_bool))
| ~ is_fun20916972t_bool(X2513) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X2513),top_to1773227171t_bool))
| X2513 != top_to1773227171t_bool
| ~ is_fun20916972t_bool(X2513) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_67_less__top])])]) ).
fof(i_0_1490,plain,
! [X2509] :
( ( X2509 = top_to846262053l_bool
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X2509),top_to846262053l_bool))
| ~ is_fun1420103068l_bool(X2509) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X2509),top_to846262053l_bool))
| X2509 != top_to846262053l_bool
| ~ is_fun1420103068l_bool(X2509) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_63_less__top])])]) ).
fof(i_0_1491,plain,
! [X2511] :
( ( X2511 = top_to1849101472l_bool
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X2511),top_to1849101472l_bool))
| ~ is_fun292781289l_bool(X2511) )
& ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X2511),top_to1849101472l_bool))
| X2511 != top_to1849101472l_bool
| ~ is_fun292781289l_bool(X2511) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_65_less__top])])]) ).
fof(i_0_1492,plain,
! [X2510] :
( ( X2510 = top_to935749874l_bool
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X2510),top_to935749874l_bool))
| ~ is_fun701126715l_bool(X2510) )
& ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X2510),top_to935749874l_bool))
| X2510 != top_to935749874l_bool
| ~ is_fun701126715l_bool(X2510) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_64_less__top])])]) ).
fof(i_0_1493,plain,
! [X2515] :
( ( X2515 = top_to1257323279t_bool
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2515),top_to1257323279t_bool))
| ~ is_fun1568535512t_bool(X2515) )
& ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2515),top_to1257323279t_bool))
| X2515 != top_to1257323279t_bool
| ~ is_fun1568535512t_bool(X2515) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_69_less__top])])]) ).
fof(i_0_1494,plain,
! [X2514] :
( ( X2514 = top_to207207712i_bool
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2514),top_to207207712i_bool))
| ~ is_fun2015243113i_bool(X2514) )
& ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2514),top_to207207712i_bool))
| X2514 != top_to207207712i_bool
| ~ is_fun2015243113i_bool(X2514) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_68_less__top])])]) ).
fof(i_0_1495,plain,
! [X2734,X2735,X2736] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2736),top_top_fun_nat_bool))
| hAPP_nat_nat(X2736,X2734) != X2735
| hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X2736),X2735) = X2734 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_185_inv__f__eq])]) ).
fof(i_0_1496,plain,
! [X4069,X4070] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X4069),X4070))
| hBOOL(X4069) ),
inference(variable_rename,[status(thm)],[i_0_962]) ).
fof(i_0_1497,plain,
! [X4071,X4072] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X4071),X4072))
| hBOOL(X4072) ),
inference(variable_rename,[status(thm)],[i_0_963]) ).
fof(i_0_1498,plain,
! [X2680,X2681] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2680),X2681))
| X2680 != X2681 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_149_less__imp__neq])]) ).
fof(i_0_1499,plain,
! [X2656,X2657] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2656),X2657))
| X2656 != X2657 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_137_order__less__imp__not__eq])]) ).
fof(i_0_1500,plain,
! [X2648,X2649] :
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2648),X2649))
| X2649 != X2648 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_133_order__less__imp__not__eq2])]) ).
fof(i_0_1501,plain,
! [X2678,X2679] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2678),X2679))
| X2678 != X2679 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_148_less__imp__neq])]) ).
fof(i_0_1502,plain,
! [X2654,X2655] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2654),X2655))
| X2654 != X2655 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_136_order__less__imp__not__eq])]) ).
fof(i_0_1503,plain,
! [X2646,X2647] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2646),X2647))
| X2647 != X2646 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_132_order__less__imp__not__eq2])]) ).
fof(i_0_1504,plain,
! [X2682,X2683] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2682),X2683))
| X2682 != X2683 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_150_less__imp__neq])]) ).
fof(i_0_1505,plain,
! [X2658,X2659] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2658),X2659))
| X2658 != X2659 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_138_order__less__imp__not__eq])]) ).
fof(i_0_1506,plain,
! [X2650,X2651] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2650),X2651))
| X2651 != X2650 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_134_order__less__imp__not__eq2])]) ).
fof(i_0_1507,plain,
! [X3658,X3659] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3658),X3659))
| X3658 != X3659 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_532_less__not__refl3])]) ).
fof(i_0_1508,plain,
! [X3656,X3657] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3656),X3657))
| X3657 != X3656 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_531_less__not__refl2])]) ).
fof(i_0_1509,plain,
! [X2684,X2685] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2684),X2685))
| X2684 != X2685 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_151_less__imp__neq])]) ).
fof(i_0_1510,plain,
! [X2660,X2661] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2660),X2661))
| X2660 != X2661 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_139_order__less__imp__not__eq])]) ).
fof(i_0_1511,plain,
! [X2652,X2653] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2652),X2653))
| X2653 != X2652 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_135_order__less__imp__not__eq2])]) ).
fof(i_0_1512,plain,
! [X3253,X3254,X3255] :
( ~ is_Arr859726945e_indi(X3253)
| ~ is_Arr859726945e_indi(X3254)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3255),top_to207207712i_bool))
| hAPP_A1895296483di_nat(X3255,X3253) != hAPP_A1895296483di_nat(X3255,X3254)
| X3253 = X3254 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_384_injD])]) ).
fof(i_0_1513,plain,
! [X3247,X3248,X3249] :
( ( hAPP_A1895296483di_nat(X3249,X3247) != hAPP_A1895296483di_nat(X3249,X3248)
| X3247 = X3248
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3249),top_to207207712i_bool))
| ~ is_Arr859726945e_indi(X3247)
| ~ is_Arr859726945e_indi(X3248) )
& ( X3247 != X3248
| hAPP_A1895296483di_nat(X3249,X3247) = hAPP_A1895296483di_nat(X3249,X3248)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3249),top_to207207712i_bool))
| ~ is_Arr859726945e_indi(X3247)
| ~ is_Arr859726945e_indi(X3248) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_382_inj__eq])])]) ).
fof(i_0_1514,plain,
! [X3899,X3900] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3899),X3900))
| X3900 != zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_614_gr__implies__not0])]) ).
fof(i_0_1515,plain,
! [X4074,X4075] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X4074),X4075))
| X4074 = X4075 ),
inference(variable_rename,[status(thm)],[i_0_964]) ).
fof(i_0_1516,plain,
! [X3925] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3925),hAPP_nat_nat(suc,X3925))),
inference(variable_rename,[status(thm)],[fact_628_lessI]) ).
fof(i_0_1517,plain,
! [X3165] :
( ( ~ hBOOL(X3165)
| hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X3165)) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(X3165)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X3165)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_356_top__le])])]) ).
fof(i_0_1518,plain,
! [X3157] :
( ( ~ hBOOL(X3157)
| hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X3157)) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(X3157)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X3157)) )
& ( ~ hBOOL(X3157)
| ~ hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X3157)) )
& ( hBOOL(X3157)
| hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X3157)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_348_top__unique])])]) ).
fof(i_0_1519,plain,
! [X2697] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2697),X2697)),
inference(variable_rename,[status(thm)],[i_0_965]) ).
fof(i_0_1520,plain,
! [X2696] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2696),X2696)),
inference(variable_rename,[status(thm)],[i_0_966]) ).
fof(i_0_1521,plain,
! [X2698] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2698),X2698)),
inference(variable_rename,[status(thm)],[i_0_967]) ).
fof(i_0_1522,plain,
! [X3655] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3655),X3655)),
inference(variable_rename,[status(thm)],[i_0_968]) ).
fof(i_0_1523,plain,
! [X3650] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3650),X3650)),
inference(variable_rename,[status(thm)],[i_0_969]) ).
fof(i_0_1524,plain,
! [X2699] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2699),X2699)),
inference(variable_rename,[status(thm)],[i_0_970]) ).
fof(i_0_1525,plain,
! [X3169] :
( ~ is_fun20916972t_bool(X3169)
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X3169))
| X3169 = top_to1773227171t_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_360_top__le])]) ).
fof(i_0_1526,plain,
! [X3161] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X3161))
| X3161 = top_to1773227171t_bool
| ~ is_fun20916972t_bool(X3161) )
& ( X3161 != top_to1773227171t_bool
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X3161))
| ~ is_fun20916972t_bool(X3161) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_352_top__unique])])]) ).
fof(i_0_1527,plain,
! [X3166] :
( ~ is_fun1420103068l_bool(X3166)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X3166))
| X3166 = top_to846262053l_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_357_top__le])]) ).
fof(i_0_1528,plain,
! [X3158] :
( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X3158))
| X3158 = top_to846262053l_bool
| ~ is_fun1420103068l_bool(X3158) )
& ( X3158 != top_to846262053l_bool
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X3158))
| ~ is_fun1420103068l_bool(X3158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_349_top__unique])])]) ).
fof(i_0_1529,plain,
! [X3167] :
( ~ is_fun292781289l_bool(X3167)
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X3167))
| X3167 = top_to1849101472l_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_358_top__le])]) ).
fof(i_0_1530,plain,
! [X3159] :
( ( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X3159))
| X3159 = top_to1849101472l_bool
| ~ is_fun292781289l_bool(X3159) )
& ( X3159 != top_to1849101472l_bool
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X3159))
| ~ is_fun292781289l_bool(X3159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_350_top__unique])])]) ).
fof(i_0_1531,plain,
! [X3168] :
( ~ is_fun701126715l_bool(X3168)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X3168))
| X3168 = top_to935749874l_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_359_top__le])]) ).
fof(i_0_1532,plain,
! [X3160] :
( ( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X3160))
| X3160 = top_to935749874l_bool
| ~ is_fun701126715l_bool(X3160) )
& ( X3160 != top_to935749874l_bool
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X3160))
| ~ is_fun701126715l_bool(X3160) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_351_top__unique])])]) ).
fof(i_0_1533,plain,
! [X3171] :
( ~ is_fun1568535512t_bool(X3171)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X3171))
| X3171 = top_to1257323279t_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_362_top__le])]) ).
fof(i_0_1534,plain,
! [X3163] :
( ( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X3163))
| X3163 = top_to1257323279t_bool
| ~ is_fun1568535512t_bool(X3163) )
& ( X3163 != top_to1257323279t_bool
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X3163))
| ~ is_fun1568535512t_bool(X3163) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_354_top__unique])])]) ).
fof(i_0_1535,plain,
! [X3172] :
( ~ is_fun2015243113i_bool(X3172)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X3172))
| X3172 = top_to207207712i_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_363_top__le])]) ).
fof(i_0_1536,plain,
! [X3164] :
( ( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X3164))
| X3164 = top_to207207712i_bool
| ~ is_fun2015243113i_bool(X3164) )
& ( X3164 != top_to207207712i_bool
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X3164))
| ~ is_fun2015243113i_bool(X3164) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_355_top__unique])])]) ).
fof(i_0_1537,plain,
! [X3674,X3675,X3676] :
( ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3674),X3675) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3676),X3675)
| X3674 = X3676 )
& ( X3674 != X3676
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3674),X3675) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3676),X3675) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_538_nat__add__right__cancel])]) ).
fof(i_0_1538,plain,
! [X3342,X3343,X3344] :
( ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3342),X3343) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3344),X3343)
| X3342 = X3344 )
& ( X3342 != X3344
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3342),X3343) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3344),X3343) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_418_add__right__cancel])]) ).
fof(i_0_1539,plain,
! [X3333,X3334,X3335] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3333),X3334) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3335),X3334)
| X3333 = X3335 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_415_add__right__imp__eq])]) ).
fof(i_0_1540,plain,
! [X3671,X3672,X3673] :
( ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3671),X3672) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3671),X3673)
| X3672 = X3673 )
& ( X3672 != X3673
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3671),X3672) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3671),X3673) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_537_nat__add__left__cancel])]) ).
fof(i_0_1541,plain,
! [X3345,X3346,X3347] :
( ( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3345),X3346) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3345),X3347)
| X3346 = X3347 )
& ( X3346 != X3347
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3345),X3346) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3345),X3347) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_419_add__left__cancel])]) ).
fof(i_0_1542,plain,
! [X3339,X3340,X3341] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3339),X3340) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3339),X3341)
| X3340 = X3341 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_417_add__left__imp__eq])]) ).
fof(i_0_1543,plain,
! [X3336,X3337,X3338] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3336),X3337) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3336),X3338)
| X3337 = X3338 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_416_add__imp__eq])]) ).
fof(i_0_1544,plain,
! [X2516] :
( ( X2516 = top_top_fun_nat_bool
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2516),top_top_fun_nat_bool)) )
& ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2516),top_top_fun_nat_bool))
| X2516 != top_top_fun_nat_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_70_less__top])]) ).
fof(i_0_1545,plain,
! [X3910] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3910),zero_zero_nat))
| X3910 = zero_zero_nat )
& ( X3910 != zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3910),zero_zero_nat)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_622_le__0__eq])]) ).
fof(i_0_1546,plain,
! [X3928] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X3928))),
inference(variable_rename,[status(thm)],[fact_630_zero__less__Suc]) ).
fof(i_0_1547,plain,
! [X3903] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3903),zero_zero_nat)),
inference(variable_rename,[status(thm)],[i_0_971]) ).
fof(i_0_1548,plain,
! [X3901] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3901),zero_zero_nat)),
inference(variable_rename,[status(thm)],[i_0_972]) ).
fof(i_0_1549,plain,
! [X3896] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3896),zero_zero_nat)),
inference(variable_rename,[status(thm)],[i_0_973]) ).
fof(i_0_1550,plain,
! [X3902] :
( ( X3902 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3902)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3902))
| X3902 != zero_zero_nat ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_616_neq0__conv])]) ).
fof(i_0_1551,plain,
! [X3170] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X3170))
| X3170 = top_top_fun_nat_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_361_top__le])]) ).
fof(i_0_1552,plain,
! [X3162] :
( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X3162))
| X3162 = top_top_fun_nat_bool )
& ( X3162 != top_top_fun_nat_bool
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X3162)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_353_top__unique])]) ).
fof(i_0_1553,plain,
! [X2505] : ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X2505)),
inference(variable_rename,[status(thm)],[i_0_974]) ).
fof(i_0_1554,plain,
! [X2501] : ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X2501)),
inference(variable_rename,[status(thm)],[i_0_975]) ).
fof(i_0_1555,plain,
! [X2503] : ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X2503)),
inference(variable_rename,[status(thm)],[i_0_976]) ).
fof(i_0_1556,plain,
! [X2502] : ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X2502)),
inference(variable_rename,[status(thm)],[i_0_977]) ).
fof(i_0_1557,plain,
! [X2507] : ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X2507)),
inference(variable_rename,[status(thm)],[i_0_978]) ).
fof(i_0_1558,plain,
! [X2508] : ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X2508)),
inference(variable_rename,[status(thm)],[i_0_979]) ).
fof(i_0_1559,plain,
! [X2506] : ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X2506)),
inference(variable_rename,[status(thm)],[i_0_980]) ).
fof(i_0_1560,plain,
! [X2504] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X2504)),
inference(variable_rename,[status(thm)],[i_0_981]) ).
fof(i_0_1561,plain,
! [X3250,X3251,X3252] :
( ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3252),top_top_fun_nat_bool))
| hAPP_nat_nat(X3252,X3250) != hAPP_nat_nat(X3252,X3251)
| X3250 = X3251 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_383_injD])]) ).
fof(i_0_1562,plain,
! [X3244,X3245,X3246] :
( ( hAPP_nat_nat(X3246,X3244) != hAPP_nat_nat(X3246,X3245)
| X3244 = X3245
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3246),top_top_fun_nat_bool)) )
& ( X3244 != X3245
| hAPP_nat_nat(X3246,X3244) = hAPP_nat_nat(X3246,X3245)
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3246),top_top_fun_nat_bool)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_381_inj__eq])])]) ).
fof(i_0_1563,plain,
! [X4193,X4194,X4195] : hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X4193,X4194),X4195) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X4193,X4195),hAPP_A340536322t_bool(X4194,X4195)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000_053]) ).
fof(i_0_1564,plain,
! [X4088,X4089,X4090] : hAPP_nat_bool(cOMBS_nat_bool_bool(X4088,X4089),X4090) = hAPP_bool_bool(hAPP_n1006566506l_bool(X4088,X4090),hAPP_nat_bool(X4089,X4090)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U]) ).
fof(i_0_1565,plain,
! [X4169,X4170,X4171] : hAPP_A340536322t_bool(cOMBS_178315313t_bool(X4169,X4170),X4171) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X4169,X4171),hAPP_A340536322t_bool(X4170,X4171)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000]) ).
fof(i_0_1566,plain,
! [X4061,X4062] : hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X4061),X4062))),
inference(variable_rename,[status(thm)],[fact_697_finite__atLeastLessThan]) ).
fof(i_0_1567,plain,
! [X4003,X4004] :
( ( X4003 = zero_zero_nat
| X4003 = hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4003),X4004) != hAPP_nat_nat(suc,zero_zero_nat) )
& ( X4004 = hAPP_nat_nat(suc,zero_zero_nat)
| X4003 = hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4003),X4004) != hAPP_nat_nat(suc,zero_zero_nat) )
& ( X4003 = zero_zero_nat
| X4004 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4003),X4004) != hAPP_nat_nat(suc,zero_zero_nat) )
& ( X4004 = hAPP_nat_nat(suc,zero_zero_nat)
| X4004 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4003),X4004) != hAPP_nat_nat(suc,zero_zero_nat) )
& ( X4003 != hAPP_nat_nat(suc,zero_zero_nat)
| X4004 != zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4003),X4004) = hAPP_nat_nat(suc,zero_zero_nat) )
& ( X4003 != zero_zero_nat
| X4004 != hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4003),X4004) = hAPP_nat_nat(suc,zero_zero_nat) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_668_add__is__1])])]) ).
fof(i_0_1568,plain,
! [X4001,X4002] :
( ( X4001 = zero_zero_nat
| X4001 = hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4001),X4002) )
& ( X4002 = hAPP_nat_nat(suc,zero_zero_nat)
| X4001 = hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4001),X4002) )
& ( X4001 = zero_zero_nat
| X4002 = zero_zero_nat
| hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4001),X4002) )
& ( X4002 = hAPP_nat_nat(suc,zero_zero_nat)
| X4002 = zero_zero_nat
| hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4001),X4002) )
& ( X4001 != hAPP_nat_nat(suc,zero_zero_nat)
| X4002 != zero_zero_nat
| hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4001),X4002) )
& ( X4001 != zero_zero_nat
| X4002 != hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4001),X4002) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_667_one__is__add])])]) ).
fof(i_0_1569,plain,
! [X4199,X4200,X4201] : hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X4199),X4200),X4201) = hAPP_b910261233t_bool(X4199,hAPP_A416869060i_bool(X4200,X4201)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_]) ).
fof(i_0_1570,plain,
! [X4184,X4185,X4186] : hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X4184),X4185),X4186) = hAPP_f1656652505l_bool(X4184,hAPP_A1171966089le_alt(X4185,X4186)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__]) ).
fof(i_0_1571,plain,
! [X4187,X4188,X4189] : hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X4187),X4188),X4189) = hAPP_f684072049t_bool(X4187,hAPP_A340536322t_bool(X4188,X4189)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_051]) ).
fof(i_0_1572,plain,
! [X4196,X4197,X4198] : hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X4196),X4197),X4198) = hAPP_f372913425t_bool(X4196,hAPP_A643475905l_bool(X4197,X4198)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb___054]) ).
fof(i_0_1573,plain,
! [X4178,X4179,X4180] : hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X4178),X4179),X4180) = hAPP_f102394819t_bool(X4178,hAPP_A340536322t_bool(X4179,X4180)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy]) ).
fof(i_0_1574,plain,
! [X4101,X4102,X4103] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X4101),X4102),X4103) = hAPP_b589554111l_bool(X4101,hAPP_nat_bool(X4102,X4103)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo]) ).
fof(i_0_1575,plain,
! [X4118,X4119,X4120] : hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X4118),X4119),X4120) = hAPP_n1699378549t_bool(X4118,hAPP_A1895296483di_nat(X4119,X4120)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__043]) ).
fof(i_0_1576,plain,
! [X4112,X4113,X4114] : hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X4112),X4113),X4114) = hAPP_n215258509l_bool(X4112,hAPP_nat_nat(X4113,X4114)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HO]) ).
fof(i_0_1577,plain,
! [X4095,X4096,X4097] : hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X4095),X4096),X4097) = hAPP_n1699378549t_bool(X4095,hAPP_nat_nat(X4096,X4097)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_]) ).
fof(i_0_1578,plain,
! [X4163,X4164,X4165] : hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X4163),X4164),X4165) = hAPP_P1151433609l_bool(X4163,hAPP_A1561816353le_alt(X4164,X4165)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_]) ).
fof(i_0_1579,plain,
! [X4067,X4068] :
( ~ hBOOL(X4068)
| ~ hBOOL(X4067)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X4068),X4067)) ),
inference(variable_rename,[status(thm)],[i_0_982]) ).
fof(i_0_1580,plain,
! [X2963,X2964] :
( ( ~ hBOOL(X2964)
| ~ hBOOL(X2963)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2964),X2963)) )
& ( hBOOL(X2964)
| hBOOL(X2963)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2964),X2963)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_259_order__eq__refl])])]) ).
fof(i_0_1581,plain,
! [X4123,X4124] :
( ~ is_fun20916972t_bool(X4123)
| hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X4123),X4124) = X4123 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm])]) ).
fof(i_0_1582,plain,
! [X4125,X4126] :
( ~ is_fun20916972t_bool(X4126)
| hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X4125),X4126) = X4126 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm])]) ).
cnf(i_0_1583,plain,
finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1))) = hAPP_nat_nat(suc,X1),
inference(split_conjunct,[status(thm)],[i_0_983]) ).
fof(i_0_1584,plain,
! [X3297] :
( ( hAPP_nat_nat(X3297,esk39_1(X3297)) = hAPP_nat_nat(X3297,esk40_1(X3297))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3297),top_top_fun_nat_bool)) )
& ( esk39_1(X3297) != esk40_1(X3297)
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3297),top_top_fun_nat_bool)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_397_injI])])])]) ).
fof(i_0_1585,plain,
! [X3300] :
( ( is_Arr859726945e_indi(esk41_1(X3300))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3300),top_to207207712i_bool)) )
& ( is_Arr859726945e_indi(esk42_1(X3300))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3300),top_to207207712i_bool)) )
& ( hAPP_A1895296483di_nat(X3300,esk41_1(X3300)) = hAPP_A1895296483di_nat(X3300,esk42_1(X3300))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3300),top_to207207712i_bool)) )
& ( esk41_1(X3300) != esk42_1(X3300)
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3300),top_to207207712i_bool)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_398_injI])])])]) ).
fof(i_0_1586,plain,
! [X3543,X3544] :
( X3543 != X3544
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3543),X3544)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_489_equalityD1])]) ).
fof(i_0_1587,plain,
! [X3461,X3462] :
( ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3461),X3462))
| X3461 != X3462 )
& ( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3462),X3461))
| X3461 != X3462 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_984])])]) ).
fof(i_0_1588,plain,
! [X2967,X2968] :
( X2967 != X2968
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2967),X2968)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_261_order__eq__refl])]) ).
fof(i_0_1589,plain,
! [X3541,X3542] :
( X3541 != X3542
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3542),X3541)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_488_equalityD2])]) ).
fof(i_0_1590,plain,
! [X3680,X3681] :
( X3680 != X3681
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3680),X3681)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_541_eq__imp__le])]) ).
fof(i_0_1591,plain,
! [X2965,X2966] :
( X2965 != X2966
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2965),X2966)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_260_order__eq__refl])]) ).
fof(i_0_1592,plain,
! [X4076,X4077] :
( X4076 != X4077
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X4076),X4077)) ),
inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__Nat__Onat_T]) ).
fof(i_0_1593,plain,
! [X3550] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3550),X3550)),
inference(variable_rename,[status(thm)],[fact_492_subset__refl]) ).
fof(i_0_1594,plain,
! [X2878] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2878),X2878)),
inference(variable_rename,[status(thm)],[fact_226_order__refl]) ).
fof(i_0_1595,plain,
! [X3677] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3677),X3677)),
inference(variable_rename,[status(thm)],[fact_539_le__refl]) ).
fof(i_0_1596,plain,
! [X2877] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2877),X2877)),
inference(variable_rename,[status(thm)],[fact_225_order__refl]) ).
fof(i_0_1597,plain,
! [X2876] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2876),X2876)),
inference(variable_rename,[status(thm)],[fact_224_order__refl]) ).
fof(i_0_1598,plain,
! [X3663,X3664] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3663),X3664) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3664),X3663),
inference(variable_rename,[status(thm)],[fact_534_nat__add__commute]) ).
fof(i_0_1599,plain,
! [X2489] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2489),top_to1773227171t_bool)),
inference(variable_rename,[status(thm)],[fact_43_iso__tuple__UNIV__I]) ).
fof(i_0_1600,plain,
! [X2481] : hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2481),top_to1773227171t_bool)),
inference(variable_rename,[status(thm)],[fact_35_UNIV__I]) ).
fof(i_0_1601,plain,
! [X3323] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3323),top_to1773227171t_bool)),
inference(variable_rename,[status(thm)],[fact_409_subset__UNIV]) ).
fof(i_0_1602,plain,
! [X3153] : hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X3153),top_to1773227171t_bool)),
inference(variable_rename,[status(thm)],[fact_344_top__greatest]) ).
fof(i_0_1603,plain,
! [X3320] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3320),top_to846262053l_bool)),
inference(variable_rename,[status(thm)],[fact_406_subset__UNIV]) ).
fof(i_0_1604,plain,
! [X3150] : hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X3150),top_to846262053l_bool)),
inference(variable_rename,[status(thm)],[fact_341_top__greatest]) ).
fof(i_0_1605,plain,
! [X2492] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2492),top_to846262053l_bool)),
inference(variable_rename,[status(thm)],[fact_46_iso__tuple__UNIV__I]) ).
fof(i_0_1606,plain,
! [X2484] : hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2484),top_to846262053l_bool)),
inference(variable_rename,[status(thm)],[fact_38_UNIV__I]) ).
fof(i_0_1607,plain,
! [X3321] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3321),top_to1849101472l_bool)),
inference(variable_rename,[status(thm)],[fact_407_subset__UNIV]) ).
fof(i_0_1608,plain,
! [X3151] : hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X3151),top_to1849101472l_bool)),
inference(variable_rename,[status(thm)],[fact_342_top__greatest]) ).
fof(i_0_1609,plain,
! [X2491] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2491),top_to1849101472l_bool)),
inference(variable_rename,[status(thm)],[fact_45_iso__tuple__UNIV__I]) ).
fof(i_0_1610,plain,
! [X2483] : hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2483),top_to1849101472l_bool)),
inference(variable_rename,[status(thm)],[fact_37_UNIV__I]) ).
fof(i_0_1611,plain,
! [X3322] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3322),top_to935749874l_bool)),
inference(variable_rename,[status(thm)],[fact_408_subset__UNIV]) ).
fof(i_0_1612,plain,
! [X3152] : hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X3152),top_to935749874l_bool)),
inference(variable_rename,[status(thm)],[fact_343_top__greatest]) ).
fof(i_0_1613,plain,
! [X2490] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2490),top_to935749874l_bool)),
inference(variable_rename,[status(thm)],[fact_44_iso__tuple__UNIV__I]) ).
fof(i_0_1614,plain,
! [X2482] : hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2482),top_to935749874l_bool)),
inference(variable_rename,[status(thm)],[fact_36_UNIV__I]) ).
fof(i_0_1615,plain,
! [X3325] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3325),top_to1257323279t_bool)),
inference(variable_rename,[status(thm)],[fact_411_subset__UNIV]) ).
fof(i_0_1616,plain,
! [X3155] : hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3155),top_to1257323279t_bool)),
inference(variable_rename,[status(thm)],[fact_346_top__greatest]) ).
fof(i_0_1617,plain,
! [X2488] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2488),top_to1257323279t_bool)),
inference(variable_rename,[status(thm)],[fact_42_iso__tuple__UNIV__I]) ).
fof(i_0_1618,plain,
! [X2480] : hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2480),top_to1257323279t_bool)),
inference(variable_rename,[status(thm)],[fact_34_UNIV__I]) ).
fof(i_0_1619,plain,
! [X3324] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3324),top_top_fun_nat_bool)),
inference(variable_rename,[status(thm)],[fact_410_subset__UNIV]) ).
fof(i_0_1620,plain,
! [X3154] : hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3154),top_top_fun_nat_bool)),
inference(variable_rename,[status(thm)],[fact_345_top__greatest]) ).
fof(i_0_1621,plain,
! [X2493] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2493),top_top_fun_nat_bool)),
inference(variable_rename,[status(thm)],[fact_47_iso__tuple__UNIV__I]) ).
fof(i_0_1622,plain,
! [X2485] : hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2485),top_top_fun_nat_bool)),
inference(variable_rename,[status(thm)],[fact_39_UNIV__I]) ).
fof(i_0_1623,plain,
! [X2486] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2486),top_to1647826457l_bool)),
inference(variable_rename,[status(thm)],[fact_40_iso__tuple__UNIV__I]) ).
fof(i_0_1624,plain,
! [X2478] : hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2478),top_to1647826457l_bool)),
inference(variable_rename,[status(thm)],[fact_32_UNIV__I]) ).
fof(i_0_1625,plain,
! [X3326] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3326),top_to207207712i_bool)),
inference(variable_rename,[status(thm)],[fact_412_subset__UNIV]) ).
fof(i_0_1626,plain,
! [X3156] : hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3156),top_to207207712i_bool)),
inference(variable_rename,[status(thm)],[fact_347_top__greatest]) ).
fof(i_0_1627,plain,
! [X2487] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2487),top_to207207712i_bool)),
inference(variable_rename,[status(thm)],[fact_41_iso__tuple__UNIV__I]) ).
fof(i_0_1628,plain,
! [X2479] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2479),top_to207207712i_bool)),
inference(variable_rename,[status(thm)],[fact_33_UNIV__I]) ).
fof(i_0_1629,plain,
! [X3149] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3149),top_top_bool)),
inference(variable_rename,[status(thm)],[fact_340_top__greatest]) ).
fof(i_0_1630,plain,
! [X3898] :
( X3898 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3898)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_613_gr0I])]) ).
cnf(i_0_1631,plain,
finite_card_nat(collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1))) = X1,
inference(split_conjunct,[status(thm)],[i_0_985]) ).
fof(i_0_1632,plain,
! [X3911] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3911)),
inference(variable_rename,[status(thm)],[fact_623_less__eq__nat_Osimps_I1_J]) ).
fof(i_0_1633,plain,
! [X3897] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X3897)),
inference(variable_rename,[status(thm)],[fact_612_le0]) ).
fof(i_0_1634,plain,
( is_fun20916972t_bool(esk63_0)
& hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk63_0),arrow_912654623le_Lin)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_579_linear__alt])]) ).
fof(i_0_1635,plain,
! [X3908,X3909] :
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3908),X3909) != X3908
| X3909 = zero_zero_nat ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_621_add__eq__self__zero])]) ).
fof(i_0_1636,plain,
! [X3906,X3907] :
( ( X3906 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3906),X3907) != zero_zero_nat )
& ( X3907 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3906),X3907) != zero_zero_nat )
& ( X3906 != zero_zero_nat
| X3907 != zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3906),X3907) = zero_zero_nat ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_620_add__is__0])])]) ).
fof(i_0_1637,plain,
! [X4041] : hAPP_nat_nat(suc,X4041) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X4041),one_one_nat),
inference(variable_rename,[status(thm)],[fact_688_Suc__eq__plus1]) ).
fof(i_0_1638,plain,
! [X4023] : hAPP_n1699378549t_bool(ord_less_nat,X4023) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X4023)),
inference(variable_rename,[status(thm)],[fact_679_less__eq__Suc__le__raw]) ).
fof(i_0_1639,plain,
! [X4040] : hAPP_nat_nat(suc,X4040) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X4040),
inference(variable_rename,[status(thm)],[fact_687_Suc__eq__plus1__left]) ).
fof(i_0_1640,plain,
! [X2497] :
( ( ~ hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X2497))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X2497)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_51_top__apply])]) ).
fof(i_0_1641,plain,
! [X2494] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X2494))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X2494)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_48_top__apply])]) ).
fof(i_0_1642,plain,
! [X2496] :
( ( ~ hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X2496))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X2496)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_50_top__apply])]) ).
fof(i_0_1643,plain,
! [X2495] :
( ( ~ hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X2495))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X2495)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_49_top__apply])]) ).
fof(i_0_1644,plain,
! [X2499] :
( ( ~ hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X2499))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X2499)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_top__apply])]) ).
fof(i_0_1645,plain,
! [X2500] :
( ( ~ hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X2500))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X2500)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_54_top__apply])]) ).
fof(i_0_1646,plain,
! [X2498] :
( ( ~ hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X2498))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X2498)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_52_top__apply])]) ).
fof(i_0_1647,plain,
! [X4121,X4122] :
( ~ is_bool(X4121)
| hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X4121),X4122) = X4121 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe])]) ).
fof(i_0_1648,plain,
! [X4174,X4175] :
( ~ is_fun701126715l_bool(X4174)
| hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X4174),X4175) = X4174 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyl])]) ).
fof(i_0_1649,plain,
! [X4144,X4145] :
( ~ is_fun2015243113i_bool(X4144)
| hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X4144),X4145) = X4144 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__])]) ).
fof(i_0_1650,plain,
! [X4131,X4132] :
( ~ is_bool(X4131)
| hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X4131),X4132) = X4131 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_])]) ).
fof(i_0_1651,plain,
! [X4172,X4173] :
( ~ is_bool(X4172)
| hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X4172),X4173) = X4172 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__])]) ).
fof(i_0_1652,plain,
! [X4176,X4177] :
( ~ is_fun1420103068l_bool(X4176)
| hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X4176),X4177) = X4176 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_050])]) ).
fof(i_0_1653,plain,
! [X4142,X4143] :
( ~ is_bool(X4142)
| hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X4142),X4143) = X4142 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel])]) ).
fof(i_0_1654,plain,
! [X4080,X4081] :
( ~ is_bool(X4080)
| hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X4080),X4081) = X4080 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Product____Type__Ounit_U])]) ).
fof(i_0_1655,plain,
! [X4078,X4079] :
( ~ is_bool(X4078)
| hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X4078),X4079) = X4078 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U])]) ).
fof(i_0_1656,plain,
! [X4135,X4136] :
( ~ is_fun20916972t_bool(X4135)
| hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X4135),X4136) = X4135 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy])]) ).
fof(i_0_1657,plain,
! [X4137,X4138] :
( ~ is_fun20916972t_bool(X4137)
| hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X4137),X4138) = X4137 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy_045])]) ).
fof(i_0_1658,plain,
! [X4146,X4147] :
( ~ is_fun1420103068l_bool(X4146)
| hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X4146),X4147) = X4146 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe])]) ).
fof(i_0_1659,plain,
! [X4093,X4094] :
( ~ is_bool(X4093)
| hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X4093),X4094) = X4093 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl])]) ).
fof(i_0_1660,hypothesis,
! [X2370,X2371] :
( ~ is_fun1420103068l_bool(X2370)
| ~ is_fun20916972t_bool(X2371)
| is_bool(hAPP_f1733357041l_bool(X2370,X2371)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___033])]) ).
fof(i_0_1661,plain,
! [X2220,X2221] :
( ~ is_fun2015243113i_bool(X2220)
| ~ is_Arr859726945e_indi(X2221)
| is_bool(hAPP_A416869060i_bool(X2220,X2221)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__HOL__O])]) ).
fof(i_0_1662,plain,
! [X3944,X3945] :
( ( hAPP_nat_nat(suc,X3944) != hAPP_nat_nat(suc,X3945)
| X3944 = X3945 )
& ( X3944 != X3945
| hAPP_nat_nat(suc,X3944) = hAPP_nat_nat(suc,X3945) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_639_nat_Oinject])]) ).
fof(i_0_1663,plain,
! [X3942,X3943] :
( hAPP_nat_nat(suc,X3942) != hAPP_nat_nat(suc,X3943)
| X3942 = X3943 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_638_Suc__inject])]) ).
fof(i_0_1664,plain,
~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
inference(fof_simplification,[status(thm)],[fact_605_infinite__UNIV__nat]) ).
fof(i_0_1665,plain,
! [X4110,X4111] : hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X4110),X4111) = X4110,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Arrow___]) ).
fof(i_0_1666,plain,
! [X4133,X4134] : hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X4133),X4134) = X4133,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It]) ).
fof(i_0_1667,plain,
! [X4091,X4092] : hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X4091),X4092) = X4091,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona]) ).
fof(i_0_1668,plain,
! [X2374,X2375] :
( ~ is_fun20916972t_bool(X2375)
| is_fun1568535512t_bool(hAPP_f649586561t_bool(X2374,X2375)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___035])]) ).
fof(i_0_1669,plain,
! [X2286,X2287] :
( ~ is_fun1568535512t_bool(X2287)
| is_fun1568535512t_bool(hAPP_f427533077t_bool(X2286,X2287)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__fun_I])]) ).
fof(i_0_1670,plain,
! [X2234,X2235] :
( ~ is_bool(X2235)
| is_fun1568535512t_bool(hAPP_b1096750261t_bool(X2234,X2235)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Ob])]) ).
fof(i_0_1671,plain,
! [X2206,X2207] :
( ~ is_fun2015243113i_bool(X2206)
| is_fun1084921220e_indi(hilber951314860di_nat(X2206,X2207)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____wylsunqmt])]) ).
fof(i_0_1672,plain,
! [X2368,X2369] :
( ~ is_fun20916972t_bool(X2369)
| is_Arr859726945e_indi(hAPP_f1283454584e_indi(X2368,X2369)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__])]) ).
fof(i_0_1673,plain,
! [X2244,X2245] :
( ~ is_fun1084921220e_indi(X2244)
| is_Arr859726945e_indi(hAPP_n619554777e_indi(X2244,X2245)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oi])]) ).
fof(i_0_1674,plain,
! [X2372,X2373] :
( ~ is_fun20916972t_bool(X2373)
| is_fun2015243113i_bool(hAPP_f431432850i_bool(X2372,X2373)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___034])]) ).
fof(i_0_1675,plain,
! [X2266,X2267] :
( ~ is_fun2015243113i_bool(X2267)
| is_fun2015243113i_bool(hAPP_f1282033109i_bool(X2266,X2267)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__005])]) ).
fof(i_0_1676,plain,
! [X2232,X2233] :
( ~ is_bool(X2233)
| is_fun2015243113i_bool(hAPP_b2116075462i_bool(X2232,X2233)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls])]) ).
fof(i_0_1677,plain,
! [X2384,X2385] :
( ~ is_fun20916972t_bool(X2384)
| is_bool(hAPP_P1813625415t_bool(X2384,X2385)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__039])]) ).
fof(i_0_1678,plain,
! [X2362,X2363] :
( ~ is_fun1420103068l_bool(X2363)
| is_bool(hAPP_f560517119l_bool(X2362,X2363)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_030])]) ).
fof(i_0_1679,plain,
! [X2342,X2343] :
( ~ is_fun292781289l_bool(X2343)
| is_bool(hAPP_f322109294l_bool(X2342,X2343)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_023])]) ).
fof(i_0_1680,plain,
! [X2300,X2301] :
( ~ is_fun292781289l_bool(X2300)
| is_bool(hAPP_f446648900l_bool(X2300,X2301)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_017])]) ).
fof(i_0_1681,plain,
! [X2294,X2295] :
( ~ is_fun701126715l_bool(X2295)
| is_bool(hAPP_f147218624l_bool(X2294,X2295)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_014])]) ).
fof(i_0_1682,plain,
! [X2284,X2285] :
( ~ is_fun1568535512t_bool(X2285)
| is_bool(hAPP_f2028818269l_bool(X2284,X2285)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obool_J_000tc__HOL__])]) ).
fof(i_0_1683,plain,
! [X2270,X2271] :
( ~ is_fun701126715l_bool(X2270)
| is_bool(hAPP_f1378099862l_bool(X2270,X2271)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__007])]) ).
fof(i_0_1684,plain,
! [X2264,X2265] :
( ~ is_fun2015243113i_bool(X2265)
| is_bool(hAPP_f160177134l_bool(X2264,X2265)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc_])]) ).
fof(i_0_1685,plain,
! [X2252,X2253] :
( ~ is_fun1568535512t_bool(X2252)
| is_bool(hAPP_P1676879539t_bool(X2252,X2253)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__HOL__Obool])]) ).
fof(i_0_1686,plain,
! [X2230,X2231] :
( ~ is_bool(X2231)
| is_bool(hAPP_bool_bool(X2230,X2231)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool])]) ).
fof(i_0_1687,plain,
! [X2214,X2215] :
( ~ is_Arr723427730le_alt(X2215)
| is_bool(hAPP_A1120018583t_bool(X2214,X2215)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob])]) ).
fof(i_0_1688,plain,
! [X2380,X2381] :
( ~ is_fun20916972t_bool(X2381)
| is_fun20916972t_bool(hAPP_f137597973t_bool(X2380,X2381)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___038])]) ).
fof(i_0_1689,plain,
! [X2242,X2243] :
( ~ is_bool(X2243)
| is_fun20916972t_bool(hAPP_b763490121t_bool(X2242,X2243)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel])]) ).
fof(i_0_1690,plain,
! [X2228,X2229] :
( ~ is_Arr859726945e_indi(X2229)
| is_fun20916972t_bool(hAPP_A340536322t_bool(X2228,X2229)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_004])]) ).
fof(i_0_1691,plain,
! [X2218,X2219] :
( ~ is_Arr723427730le_alt(X2219)
| is_fun20916972t_bool(hAPP_A1014090479t_bool(X2218,X2219)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc_001])]) ).
fof(i_0_1692,plain,
! [X2376,X2377] :
( ~ is_fun20916972t_bool(X2377)
| is_fun701126715l_bool(hAPP_f1332130404l_bool(X2376,X2377)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___036])]) ).
fof(i_0_1693,plain,
! [X2296,X2297] :
( ~ is_fun701126715l_bool(X2297)
| is_fun701126715l_bool(hAPP_f189058133l_bool(X2296,X2297)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_015])]) ).
fof(i_0_1694,plain,
! [X2236,X2237] :
( ~ is_bool(X2237)
| is_fun701126715l_bool(hAPP_b1461182872l_bool(X2236,X2237)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell])]) ).
fof(i_0_1695,plain,
! [X2222,X2223] :
( ~ is_Arr859726945e_indi(X2223)
| is_fun701126715l_bool(hAPP_A701636433l_bool(X2222,X2223)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It])]) ).
fof(i_0_1696,plain,
! [X2200,X2201] :
( ~ is_fun2015243113i_bool(X2200)
| is_fun701126715l_bool(pi_Arr1801471756t_bool(X2200,X2201)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc_])]) ).
fof(i_0_1697,plain,
! [X2378,X2379] :
( ~ is_fun20916972t_bool(X2379)
| is_fun1420103068l_bool(hAPP_f1344932147l_bool(X2378,X2379)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb___037])]) ).
fof(i_0_1698,plain,
! [X2364,X2365] :
( ~ is_fun1420103068l_bool(X2365)
| is_fun1420103068l_bool(hAPP_f574392641l_bool(X2364,X2365)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_031])]) ).
fof(i_0_1699,plain,
! [X2240,X2241] :
( ~ is_bool(X2241)
| is_fun1420103068l_bool(hAPP_b805997823l_bool(X2240,X2241)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__])]) ).
fof(i_0_1700,plain,
! [X2226,X2227] :
( ~ is_Arr859726945e_indi(X2227)
| is_fun1420103068l_bool(hAPP_A659996934l_bool(X2226,X2227)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_003])]) ).
fof(i_0_1701,plain,
! [X2216,X2217] :
( ~ is_Arr723427730le_alt(X2217)
| is_fun1420103068l_bool(hAPP_A433435097l_bool(X2216,X2217)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__fun_Itc])]) ).
fof(i_0_1702,plain,
! [X2204,X2205] :
( ~ is_fun20916972t_bool(X2204)
| is_fun1420103068l_bool(pi_Pro1873779901t_bool(X2204,X2205)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa])]) ).
fof(i_0_1703,plain,
! [X2344,X2345] :
( ~ is_fun292781289l_bool(X2345)
| is_fun292781289l_bool(hAPP_f1028172757l_bool(X2344,X2345)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_024])]) ).
fof(i_0_1704,plain,
! [X2238,X2239] :
( ~ is_bool(X2239)
| is_fun292781289l_bool(hAPP_b651754310l_bool(X2238,X2239)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___])]) ).
fof(i_0_1705,plain,
! [X2224,X2225] :
( ~ is_Arr859726945e_indi(X2225)
| is_fun292781289l_bool(hAPP_A955165183l_bool(X2224,X2225)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_000tc__fun_It_002])]) ).
fof(i_0_1706,plain,
! [X2202,X2203] :
( ~ is_fun701126715l_bool(X2202)
| is_fun292781289l_bool(pi_fun1555365306t_bool(X2202,X2203)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oin])]) ).
fof(i_0_1707,plain,
! [X4016] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X4016)),
inference(variable_rename,[status(thm)],[fact_672_inj__Suc]) ).
fof(i_0_1708,plain,
! [X3225] : hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X3225)),
inference(variable_rename,[status(thm)],[fact_376_inj__on__id2]) ).
fof(i_0_1709,plain,
! [X3905] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3905),zero_zero_nat) = X3905,
inference(variable_rename,[status(thm)],[fact_619_Nat_Oadd__0__right]) ).
fof(i_0_1710,plain,
! [X3904] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X3904) = X3904,
inference(variable_rename,[status(thm)],[fact_618_plus__nat_Oadd__0]) ).
fof(i_0_1711,plain,
! [X2873] : pi_Pro1873779901t_bool(X2873,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
inference(variable_rename,[status(thm)],[fact_221_Pi__UNIV]) ).
fof(i_0_1712,plain,
! [X2874] : pi_fun1555365306t_bool(X2874,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
inference(variable_rename,[status(thm)],[fact_222_Pi__UNIV]) ).
fof(i_0_1713,plain,
! [X2875] : pi_Arr1801471756t_bool(X2875,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
inference(variable_rename,[status(thm)],[fact_223_Pi__UNIV]) ).
fof(i_0_1714,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(esk98_0),top_to207207712i_bool))
& image_837079859di_nat(esk98_0,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_698__096_B_Bthesis_O_A_I_B_Bh_O_A_091_124_Ainj_Ah_059_Arange_Ah_A_061_A_123])])]) ).
fof(i_0_1715,plain,
! [X2388,X2389] : is_fun1568535512t_bool(hAPP_P822772139t_bool(X2388,X2389)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__041]) ).
fof(i_0_1716,plain,
! [X2304,X2305] : is_fun1568535512t_bool(hAPP_f1841347694t_bool(X2304,X2305)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_019]) ).
fof(i_0_1717,plain,
! [X2274,X2275] : is_fun1568535512t_bool(hAPP_f1009478556t_bool(X2274,X2275)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__009]) ).
fof(i_0_1718,plain,
! [X2250,X2251] : is_fun1568535512t_bool(hAPP_n454528608t_bool(X2250,X2251)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL__Obo]) ).
fof(i_0_1719,plain,
! [X2382,X2383] : is_Arr859726945e_indi(hAPP_P1645359566e_indi(X2382,X2383)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc_]) ).
fof(i_0_1720,plain,
! [X2298,X2299] : is_Arr859726945e_indi(hAPP_f2043811403e_indi(X2298,X2299)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_016]) ).
fof(i_0_1721,plain,
! [X2268,X2269] : is_Arr859726945e_indi(hAPP_f350403485e_indi(X2268,X2269)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__006]) ).
fof(i_0_1722,plain,
! [X2386,X2387] : is_fun2015243113i_bool(hAPP_P957402556i_bool(X2386,X2387)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__040]) ).
fof(i_0_1723,plain,
! [X2302,X2303] : is_fun2015243113i_bool(hAPP_f783549695i_bool(X2302,X2303)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_018]) ).
fof(i_0_1724,plain,
! [X2272,X2273] : is_fun2015243113i_bool(hAPP_f1570138413i_bool(X2272,X2273)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__008]) ).
fof(i_0_1725,plain,
! [X2248,X2249] : is_fun2015243113i_bool(hAPP_n1600508401i_bool(X2248,X2249)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsu]) ).
fof(i_0_1726,plain,
! [X2366,X2367] : is_bool(hAPP_f557371893l_bool(X2366,X2367)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl_032]) ).
fof(i_0_1727,plain,
! [X2360,X2361] : is_bool(hAPP_f817344902l_bool(X2360,X2361)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyl]) ).
fof(i_0_1728,plain,
! [X2358,X2359] : is_bool(hAPP_f1363425282l_bool(X2358,X2359)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_029]) ).
fof(i_0_1729,plain,
! [X2356,X2357] : is_bool(hAPP_f1384787615l_bool(X2356,X2357)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_028]) ).
fof(i_0_1730,plain,
! [X2354,X2355] : is_bool(hAPP_f560261801l_bool(X2354,X2355)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_027]) ).
fof(i_0_1731,plain,
! [X2352,X2353] : is_bool(hAPP_f1021828400l_bool(X2352,X2353)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel]) ).
fof(i_0_1732,plain,
! [X2350,X2351] : is_bool(hAPP_f966397426l_bool(X2350,X2351)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_026]) ).
fof(i_0_1733,plain,
! [X2348,X2349] : is_bool(hAPP_f750478076l_bool(X2348,X2349)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_025]) ).
fof(i_0_1734,plain,
! [X2346,X2347] : is_bool(hAPP_f742658307l_bool(X2346,X2347)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell]) ).
fof(i_0_1735,plain,
! [X2340,X2341] : is_bool(hAPP_f1082951236l_bool(X2340,X2341)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_022]) ).
fof(i_0_1736,plain,
! [X2338,X2339] : is_bool(hAPP_f1138659662l_bool(X2338,X2339)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls_021]) ).
fof(i_0_1737,plain,
! [X2336,X2337] : is_bool(hAPP_f882250837l_bool(X2336,X2337)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wyls]) ).
fof(i_0_1738,plain,
! [X2334,X2335] : is_bool(hAPP_f1117143157l_bool(X2334,X2335)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__prod_Itc__Arrow_]) ).
fof(i_0_1739,plain,
! [X2332,X2333] : is_bool(hAPP_f1965705105l_bool(X2332,X2333)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__prod_It]) ).
fof(i_0_1740,plain,
! [X2330,X2331] : is_bool(hAPP_f1597773170l_bool(X2330,X2331)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__fun_Itc]) ).
fof(i_0_1741,plain,
! [X2328,X2329] : is_bool(hAPP_f866114756l_bool(X2328,X2329)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__fun_Itc__Arrow__]) ).
fof(i_0_1742,plain,
! [X2326,X2327] : is_bool(hAPP_f339859954l_bool(X2326,X2327)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Product____Type__Ounit_Mtc__Nat__Onat_J_Mtc_]) ).
fof(i_0_1743,plain,
! [X2324,X2325] : is_bool(hAPP_f537623936l_bool(X2324,X2325)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Product____Type__Ounit_J_Mtc_]) ).
fof(i_0_1744,plain,
! [X2322,X2323] : is_bool(hAPP_f1426445843l_bool(X2322,X2323)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Nat__Onat_J_Mtc__HOL__Obool_J]) ).
fof(i_0_1745,plain,
! [X2320,X2321] : is_bool(hAPP_f1637334154l_bool(X2320,X2321)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_]) ).
fof(i_0_1746,plain,
! [X2318,X2319] : is_bool(hAPP_f1428735377l_bool(X2318,X2319)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Arrow____Order____Mirabelle__]) ).
fof(i_0_1747,plain,
! [X2316,X2317] : is_bool(hAPP_f2053170815l_bool(X2316,X2317)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____]) ).
fof(i_0_1748,plain,
! [X2314,X2315] : is_bool(hAPP_f937100551l_bool(X2314,X2315)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____]) ).
fof(i_0_1749,plain,
! [X2312,X2313] : is_bool(hAPP_f740740988l_bool(X2312,X2313)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O]) ).
fof(i_0_1750,plain,
! [X2310,X2311] : is_bool(hAPP_f620747982l_bool(X2310,X2311)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M]) ).
fof(i_0_1751,plain,
! [X2308,X2309] : is_bool(hAPP_f67777128l_bool(X2308,X2309)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__Nat__Onat_J_Mtc__HOL__Obool_]) ).
fof(i_0_1752,plain,
! [X2306,X2307] : is_bool(hAPP_f1291635206l_bool(X2306,X2307)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_020]) ).
fof(i_0_1753,plain,
! [X2292,X2293] : is_bool(hAPP_f2016919811l_bool(X2292,X2293)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_013]) ).
fof(i_0_1754,plain,
! [X2290,X2291] : is_bool(hAPP_f1898839893l_bool(X2290,X2291)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_012]) ).
fof(i_0_1755,plain,
! [X2288,X2289] : is_bool(hAPP_f599997089l_bool(X2288,X2289)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O]) ).
fof(i_0_1756,plain,
! [X2282,X2283] : is_bool(hAPP_f54304608l_bool(X2282,X2283)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool]) ).
fof(i_0_1757,plain,
! [X2280,X2281] : is_bool(hAPP_f387058535l_bool(X2280,X2281)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool]) ).
fof(i_0_1758,plain,
! [X2262,X2263] : is_bool(hAPP_f212509069l_bool(X2262,X2263)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__]) ).
fof(i_0_1759,plain,
! [X2246,X2247] : is_bool(hAPP_nat_bool(X2246,X2247)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool]) ).
fof(i_0_1760,hypothesis,
! [X2278,X2279] : is_fun20916972t_bool(hAPP_f1817389232t_bool(X2278,X2279)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__011]) ).
fof(i_0_1761,plain,
! [X2260,X2261] : is_fun20916972t_bool(hAPP_P401722323t_bool(X2260,X2261)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__prod_Itc__Arrow____Orde]) ).
fof(i_0_1762,plain,
! [X2254,X2255] : is_fun701126715l_bool(hAPP_P667392034l_bool(X2254,X2255)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__Arrow____Order]) ).
fof(i_0_1763,hypothesis,
! [X2390,X2391] : is_fun1420103068l_bool(hAPP_P1151433609l_bool(X2390,X2391)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__042]) ).
fof(i_0_1764,plain,
! [X2276,X2277] : is_fun1420103068l_bool(hAPP_f1895971544l_bool(X2276,X2277)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi_Mtc__010]) ).
fof(i_0_1765,plain,
! [X2258,X2259] : is_fun1420103068l_bool(hAPP_P288224245l_bool(X2258,X2259)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__prod_Itc__Arro]) ).
fof(i_0_1766,plain,
! [X2256,X2257] : is_fun292781289l_bool(hAPP_P1305865168l_bool(X2256,X2257)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Product____Type__Ounit_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow]) ).
fof(i_0_1767,plain,
! [X2474] : hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X2474)),
inference(variable_rename,[status(thm)],[fact_28_top1I]) ).
fof(i_0_1768,plain,
! [X2471] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X2471)),
inference(variable_rename,[status(thm)],[fact_25_top1I]) ).
fof(i_0_1769,plain,
! [X2473] : hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X2473)),
inference(variable_rename,[status(thm)],[fact_27_top1I]) ).
fof(i_0_1770,plain,
! [X2472] : hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X2472)),
inference(variable_rename,[status(thm)],[fact_26_top1I]) ).
fof(i_0_1771,plain,
! [X2476] : hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X2476)),
inference(variable_rename,[status(thm)],[fact_30_top1I]) ).
fof(i_0_1772,plain,
! [X2477] : hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X2477)),
inference(variable_rename,[status(thm)],[fact_31_top1I]) ).
fof(i_0_1773,plain,
! [X2475] : hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X2475)),
inference(variable_rename,[status(thm)],[fact_29_top1I]) ).
fof(i_0_1774,plain,
! [X3946] : hAPP_nat_nat(suc,X3946) != X3946,
inference(variable_rename,[status(thm)],[fact_640_Suc__n__not__n]) ).
fof(i_0_1775,plain,
! [X3947] : X3947 != hAPP_nat_nat(suc,X3947),
inference(variable_rename,[status(thm)],[fact_641_n__not__Suc__n]) ).
fof(i_0_1776,plain,
! [X4053] :
( X4053 = zero_zero_nat
| X4053 = hAPP_nat_nat(suc,esk95_1(X4053)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_693_nat_Oexhaust])])]) ).
fof(i_0_1777,plain,
! [X4051] :
( X4051 = zero_zero_nat
| X4051 = hAPP_nat_nat(suc,esk94_1(X4051)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_692_not0__implies__Suc])])]) ).
fof(i_0_1778,plain,
! [X4020] : hAPP_nat_nat(suc,X4020) != zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_676_Suc__not__Zero]) ).
fof(i_0_1779,plain,
! [X4019] : hAPP_nat_nat(suc,X4019) != zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_675_nat_Osimps_I3_J]) ).
fof(i_0_1780,plain,
! [X4017] : hAPP_nat_nat(suc,X4017) != zero_zero_nat,
inference(variable_rename,[status(thm)],[fact_673_Suc__neq__Zero]) ).
fof(i_0_1781,plain,
! [X4022] : zero_zero_nat != hAPP_nat_nat(suc,X4022),
inference(variable_rename,[status(thm)],[fact_678_Zero__not__Suc]) ).
fof(i_0_1782,plain,
! [X4021] : zero_zero_nat != hAPP_nat_nat(suc,X4021),
inference(variable_rename,[status(thm)],[fact_677_nat_Osimps_I2_J]) ).
fof(i_0_1783,plain,
! [X4018] : zero_zero_nat != hAPP_nat_nat(suc,X4018),
inference(variable_rename,[status(thm)],[fact_674_Zero__neq__Suc]) ).
fof(i_0_1784,plain,
! [X2209] :
( ~ is_fun1568535512t_bool(X2209)
| is_fun1568535512t_bool(collect_Product_unit(X2209)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__Product____Type__Ounit])]) ).
fof(i_0_1785,plain,
! [X2208] :
( ~ is_fun2015243113i_bool(X2208)
| is_fun2015243113i_bool(collec279390863e_indi(X2208)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi])]) ).
fof(i_0_1786,plain,
! [X2213] :
( ~ is_fun20916972t_bool(X2213)
| is_fun20916972t_bool(collec1376511890le_alt(X2213)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O])]) ).
fof(i_0_1787,plain,
! [X2210] :
( ~ is_fun701126715l_bool(X2210)
| is_fun701126715l_bool(collec1567922785t_bool(X2210)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oi])]) ).
fof(i_0_1788,plain,
! [X2212] :
( ~ is_fun1420103068l_bool(X2212)
| is_fun1420103068l_bool(collec612883262t_bool(X2212)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wyls])]) ).
fof(i_0_1789,plain,
! [X2199] :
( ~ is_fun20916972t_bool(X2199)
| is_fun1420103068l_bool(inj_on398823523t_bool(X2199)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Fun_Oinj__on_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O])]) ).
fof(i_0_1790,plain,
! [X2211] :
( ~ is_fun292781289l_bool(X2211)
| is_fun292781289l_bool(collec1517527055t_bool(X2211)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsu])]) ).
fof(i_0_1791,plain,
! [X4073] : hAPP_nat_nat(cOMBI_nat,X4073) = X4073,
inference(variable_rename,[status(thm)],[help_COMBI_1_1_COMBI_000tc__Nat__Onat_U]) ).
fof(i_0_1792,plain,
! [X2716] :
( ~ is_fun1568535512t_bool(X2716)
| collect_Product_unit(X2716) = X2716 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_176_Collect__def])]) ).
fof(i_0_1793,plain,
! [X2717] :
( ~ is_fun2015243113i_bool(X2717)
| collec279390863e_indi(X2717) = X2717 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_177_Collect__def])]) ).
cnf(i_0_1794,plain,
top_top_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue)),
inference(split_conjunct,[status(thm)],[fact_167_UNIV__def]) ).
fof(i_0_1795,plain,
! [X4127] :
( ~ is_bool(X4127)
| X4127 = fTrue
| X4127 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wylsunqm])]) ).
fof(i_0_1796,plain,
! [X4066] :
( ~ is_bool(X4066)
| X4066 = fTrue
| X4066 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fTrue_1_1_T])]) ).
cnf(i_0_1797,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A340536322t_bool(X6,esk1_6(X3,X6,X1,X2,X4,X5))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk1_6(X3,X6,X1,X2,X4,X5))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1798,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk1_6(X6,X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A340536322t_bool(X6,esk1_6(X6,X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1799,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X6)),hAPP_f1817389232t_bool(f,X4)))
| X2 = X5
| X1 = X6
| X5 = X6
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk2_6(X4,X3,X5,X6,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X6)),hAPP_A340536322t_bool(X4,esk2_6(X4,X3,X5,X6,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X6)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_987]),
[final] ).
cnf(i_0_1800,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A340536322t_bool(X6,esk4_6(X3,X6,X1,X2,X4,X5))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk4_6(X3,X6,X1,X2,X4,X5))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_988]),
[final] ).
cnf(i_0_1801,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk4_6(X6,X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A340536322t_bool(X6,esk4_6(X6,X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_988]),
[final] ).
cnf(i_0_1802,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
inference(split_conjunct,[status(thm)],[i_0_989]),
[final] ).
cnf(i_0_1803,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))) ),
inference(split_conjunct,[status(thm)],[i_0_989]),
[final] ).
cnf(i_0_1804,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
inference(split_conjunct,[status(thm)],[i_0_990]),
[final] ).
cnf(i_0_1805,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A340536322t_bool(X6,esk1_6(X3,X6,X1,X2,X4,X5))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk1_6(X3,X6,X1,X2,X4,X5))))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1806,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk1_6(X6,X3,X4,X5,X1,X2))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A340536322t_bool(X6,esk1_6(X6,X3,X4,X5,X1,X2))))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1807,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk2_6(X4,X3,X5,X6,X1,X2))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X6)),hAPP_A340536322t_bool(X4,esk2_6(X4,X3,X5,X6,X1,X2))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X6)),hAPP_f1817389232t_bool(f,X4)))
| X2 = X5
| X1 = X6
| X5 = X6
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X6)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_987]),
[final] ).
cnf(i_0_1808,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A340536322t_bool(X6,esk4_6(X3,X6,X1,X2,X4,X5))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk4_6(X3,X6,X1,X2,X4,X5))))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_988]),
[final] ).
cnf(i_0_1809,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk4_6(X6,X3,X4,X5,X1,X2))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_A340536322t_bool(X6,esk4_6(X6,X3,X4,X5,X1,X2))))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_988]),
[final] ).
cnf(i_0_1810,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n))),lab)),lba)))) ),
inference(split_conjunct,[status(thm)],[i_0_990]),
[final] ).
cnf(i_0_1811,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
inference(split_conjunct,[status(thm)],[i_0_991]),
[final] ).
cnf(i_0_1812,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e))))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))) ),
inference(split_conjunct,[status(thm)],[i_0_991]),
[final] ).
cnf(i_0_1813,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
inference(split_conjunct,[status(thm)],[fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]),
[final] ).
cnf(i_0_1814,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
inference(split_conjunct,[status(thm)],[fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]),
[final] ).
cnf(i_0_1815,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))),
inference(split_conjunct,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]),
[final] ).
cnf(i_0_1816,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))),arrow_583275979e_Prof)),
inference(split_conjunct,[status(thm)],[fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai]),
[final] ).
cnf(i_0_1817,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk27_0),one_one_nat)))),lab)),lba)))),
inference(split_conjunct,[status(thm)],[i_0_992]),
[final] ).
cnf(i_0_1818,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk26_0),one_one_nat)))),lab)),lba)))),
inference(split_conjunct,[status(thm)],[i_0_993]),
[final] ).
cnf(i_0_1819,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))),lab)),lba)))),
inference(split_conjunct,[status(thm)],[fact_181_n_I3_J]),
[final] ).
cnf(i_0_1820,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X5)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X4)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk9_5(X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X5,esk9_5(X3,X4,X5,X1,X2))))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1821,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X5)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X4)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X5,esk9_5(X3,X5,X4,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk9_5(X3,X5,X4,X1,X2))))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1822,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X4)),hAPP_f1817389232t_bool(f,X5)))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk3_5(X5,X3,X4,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X4)),hAPP_A340536322t_bool(X5,esk3_5(X5,X3,X4,X1,X2))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_995]),
[final] ).
cnf(i_0_1823,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),hAPP_f1817389232t_bool(f,X5)))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),hAPP_A340536322t_bool(X5,esk3_5(X3,X5,X2,X4,X1))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk3_5(X3,X5,X2,X4,X1))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_995]),
[final] ).
cnf(i_0_1824,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk27_0)) ),
inference(split_conjunct,[status(thm)],[i_0_992]),
[final] ).
cnf(i_0_1825,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk26_0)) ),
inference(split_conjunct,[status(thm)],[i_0_993]),
[final] ).
cnf(i_0_1826,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),hAPP_f1817389232t_bool(f,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),n)) ),
inference(split_conjunct,[status(thm)],[i_0_996]),
[final] ).
cnf(i_0_1827,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),X1))),lab)),lba)),arrow_583275979e_Prof)),
inference(split_conjunct,[status(thm)],[i_0_997]),
[final] ).
cnf(i_0_1828,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X5)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk9_5(X3,X4,X5,X1,X2))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X5,esk9_5(X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X4)))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1829,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X5)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X5,esk9_5(X3,X5,X4,X1,X2))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X4,esk9_5(X3,X5,X4,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X4)))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1830,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X4)),hAPP_f1817389232t_bool(f,X5)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk3_5(X5,X3,X4,X1,X2))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X4)),hAPP_A340536322t_bool(X5,esk3_5(X5,X3,X4,X1,X2))))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_995]),
[final] ).
cnf(i_0_1831,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),hAPP_f1817389232t_bool(f,X5)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),hAPP_A340536322t_bool(X5,esk3_5(X3,X5,X2,X4,X1))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk3_5(X3,X5,X2,X4,X1))))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_995]),
[final] ).
cnf(i_0_1832,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| is_Arr859726945e_indi(esk1_6(X3,X6,X1,X2,X4,X5))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1833,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| is_Arr859726945e_indi(esk1_6(X6,X3,X4,X5,X1,X2))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1834,plain,
( is_Arr859726945e_indi(esk2_6(X1,X2,X3,X4,X5,X6))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),hAPP_f1817389232t_bool(f,X1)))
| X6 = X3
| X5 = X4
| X3 = X4
| X5 = X6
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X6)),hAPP_f1817389232t_bool(f,X2)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X6) ),
inference(split_conjunct,[status(thm)],[i_0_987]),
[final] ).
cnf(i_0_1835,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| is_Arr859726945e_indi(esk4_6(X3,X6,X1,X2,X4,X5))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_988]),
[final] ).
cnf(i_0_1836,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X5)),hAPP_f1817389232t_bool(f,X6)))
| is_Arr859726945e_indi(esk4_6(X6,X3,X4,X5,X1,X2))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X6),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_988]),
[final] ).
cnf(i_0_1837,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
| X2 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk5_4(X3,X4,X2,X1))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk5_4(X3,X4,X2,X1))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_998]),
[final] ).
cnf(i_0_1838,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X1,X2))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X1,X2))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_998]),
[final] ).
cnf(i_0_1839,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk5_4(X3,X4,X2,X1))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk5_4(X3,X4,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_998]),
[final] ).
cnf(i_0_1840,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk5_4(X4,X3,X1,X2))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A340536322t_bool(X4,esk5_4(X4,X3,X1,X2))))
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_998]),
[final] ).
cnf(i_0_1841,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
| ~ hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_999]),
[final] ).
cnf(i_0_1842,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1843,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X4,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A340536322t_bool(X3,esk14_4(X4,X3,X1,X2))))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1001]),
[final] ).
cnf(i_0_1844,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1845,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1846,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1847,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1848,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X5)))
| is_Arr859726945e_indi(esk9_5(X3,X4,X5,X1,X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X4)))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1849,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X5)))
| is_Arr859726945e_indi(esk9_5(X3,X5,X4,X1,X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(X3,X4)))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1850,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),hAPP_f1817389232t_bool(f,X5)))
| is_Arr859726945e_indi(esk3_5(X3,X5,X2,X4,X1))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_995]),
[final] ).
cnf(i_0_1851,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X4)),hAPP_f1817389232t_bool(f,X5)))
| is_Arr859726945e_indi(esk3_5(X5,X3,X4,X1,X2))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X5),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_995]),
[final] ).
cnf(i_0_1852,plain,
( hBOOL(hAPP_f212509069l_bool(hAPP_f2078760383l_bool(ord_le319160163t_bool,hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X1)),hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,hAPP_f1092358369t_bool(cOMBB_333235735le_alt(cOMBC_943734388l_bool),hAPP_f1747206697l_bool(cOMBB_885534287le_alt(cOMBB_711698847le_alt(member720722004le_alt)),produc1456060119le_alt))),X2)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_999]),
[final] ).
cnf(i_0_1853,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1854,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X2,X3)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
| ~ hBOOL(hAPP_P1813625415t_bool(X4,esk64_4(X3,X1,X4,X2)))
| ~ hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X3,X1,X4,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1003]),
[final] ).
cnf(i_0_1855,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X2,X3)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
| ~ hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X3,X4,X1,X2)))
| ~ hBOOL(hAPP_P1813625415t_bool(X4,esk64_4(X3,X4,X1,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1003]),
[final] ).
cnf(i_0_1856,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk56_3(X2,X3,X1))),hAPP_nat_nat(X1,esk57_3(X2,X3,X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_1004]),
[final] ).
cnf(i_0_1857,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1858,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1859,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1860,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1861,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1862,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1863,plain,
( X2 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X1,X2)),esk21_2(X1,X2))),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X1,X2)),esk21_2(X1,X2))),X1))
| ~ is_fun20916972t_bool(X1)
| ~ is_fun20916972t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1005]),
[final] ).
cnf(i_0_1864,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(cn,[status(thm)],[i_0_1006]),
[final] ).
cnf(i_0_1865,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1866,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| hAPP_A1895296483di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1867,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk58_3(X2,X3,X1))),hAPP_nat_nat(X1,esk59_3(X2,X3,X1))))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1007]),
[final] ).
cnf(i_0_1868,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hAPP_A1895296483di_nat(h,X1) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1869,plain,
( hAPP_nat_nat(suc,finite_card_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2)))) = finite_card_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1008,c_0_1009]),c_0_1009]),
[final] ).
cnf(i_0_1870,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| hAPP_A1895296483di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1871,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X3,X1)),pi_Pro1873779901t_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_P1122857141l_bool(X1,esk44_3(X1,X2,X3))),hAPP_P1122857141l_bool(X2,esk44_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1010]),
[final] ).
cnf(i_0_1872,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X3,X1)),pi_fun1555365306t_bool(X3,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f1895971544l_bool(X1,esk46_3(X1,X2,X3))),hAPP_f1895971544l_bool(X2,esk46_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1011]),
[final] ).
cnf(i_0_1873,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X3,X1)),pi_Arr1801471756t_bool(X3,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_A659996934l_bool(X1,esk45_3(X1,X2,X3))),hAPP_A659996934l_bool(X2,esk45_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1012]),
[final] ).
cnf(i_0_1874,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X3),X4),X5)))
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1875,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1876,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hAPP_A1895296483di_nat(h,X1) = n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1877,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk67_3(X1,X2,X3))),hAPP_P1122857141l_bool(X2,esk67_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1014]),
[final] ).
cnf(i_0_1878,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X3,X2)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk34_3(X1,X2,X3))),hAPP_P1122857141l_bool(X2,esk34_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1015]),
[final] ).
cnf(i_0_1879,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X3,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk69_3(X1,X2,X3))),hAPP_f1895971544l_bool(X2,esk69_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1016]),
[final] ).
cnf(i_0_1880,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X3,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk36_3(X1,X2,X3))),hAPP_f1895971544l_bool(X2,esk36_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1017]),
[final] ).
cnf(i_0_1881,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk68_3(X1,X2,X3))),hAPP_A659996934l_bool(X2,esk68_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1018]),
[final] ).
cnf(i_0_1882,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk35_3(X1,X2,X3))),hAPP_A659996934l_bool(X2,esk35_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_1019]),
[final] ).
cnf(i_0_1883,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),arrow_207701375_below(X3,X5,X4)))
| X5 = X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1884,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1885,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1886,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X2,X3)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X3,X1,X4,X2)),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1003]),
[final] ).
cnf(i_0_1887,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X2,X3)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk64_4(X3,X4,X1,X2)),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1003]),
[final] ).
cnf(i_0_1888,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X2,X3)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X3,X1,X4,X2)),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1021]),
[final] ).
cnf(i_0_1889,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X2,X3)))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk66_4(X3,X4,X1,X2)),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1021]),
[final] ).
cnf(i_0_1890,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X2,X3)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X3,X1,X4,X2)),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1022]),
[final] ).
cnf(i_0_1891,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X2,X3)))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk65_4(X3,X4,X1,X2)),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1022]),
[final] ).
cnf(i_0_1892,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X2,X3)))
| hBOOL(hAPP_P1813625415t_bool(X4,esk64_4(X3,X1,X4,X2)))
| hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X3,X1,X4,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1003]),
[final] ).
cnf(i_0_1893,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),pi_Pro1873779901t_bool(X2,X3)))
| hBOOL(hAPP_P1813625415t_bool(X1,esk64_4(X3,X4,X1,X2)))
| hBOOL(hAPP_P1813625415t_bool(X4,esk64_4(X3,X4,X1,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1003]),
[final] ).
cnf(i_0_1894,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1895,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1896,plain,
( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2),X1))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X1,X2)),esk24_2(X1,X2))),hAPP_f1817389232t_bool(X2,esk22_2(X1,X2))))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_1023]),
[final] ).
cnf(i_0_1897,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1898,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1899,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e))) ),
inference(cn,[status(thm)],[i_0_1024]),
[final] ).
cnf(i_0_1900,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1901,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1902,plain,
( X3 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X4),X2)))
| X4 = X2
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1903,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X3),X4),X5)))
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| X1 != X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1904,plain,
( X1 = X5
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X3),X4),X5)))
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1905,plain,
( X2 = X4
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X3),X5),X4)))
| X5 = X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X2)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1906,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X1,X2)),esk21_2(X1,X2))),X2))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk20_2(X1,X2)),esk21_2(X1,X2))),X1))
| X2 = X1
| ~ is_fun20916972t_bool(X1)
| ~ is_fun20916972t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1005]),
[final] ).
cnf(i_0_1907,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab))
| hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1908,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X2,X3)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
| hAPP_f1817389232t_bool(X1,esk66_4(X3,X1,X4,X2)) != hAPP_f1817389232t_bool(X4,esk66_4(X3,X1,X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1021]),
[final] ).
cnf(i_0_1909,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X2,X3)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
| hAPP_f1817389232t_bool(X4,esk66_4(X3,X4,X1,X2)) != hAPP_f1817389232t_bool(X1,esk66_4(X3,X4,X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1021]),
[final] ).
cnf(i_0_1910,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X2,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
| hAPP_A340536322t_bool(X1,esk65_4(X3,X1,X4,X2)) != hAPP_A340536322t_bool(X4,esk65_4(X3,X1,X4,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1022]),
[final] ).
cnf(i_0_1911,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X2,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
| hAPP_A340536322t_bool(X4,esk65_4(X3,X4,X1,X2)) != hAPP_A340536322t_bool(X1,esk65_4(X3,X4,X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1022]),
[final] ).
cnf(i_0_1912,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1913,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1914,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1915,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1916,plain,
( X1 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),arrow_207701375_below(X5,X2,X3)))
| X2 = X3
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1917,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),arrow_207701375_below(X3,X5,X4)))
| X5 = X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| X2 != X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1918,plain,
( hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk10_1(X1))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk11_1(X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1919,plain,
( X1 = X4
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),arrow_207701375_below(X3,X4,X5)))
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X5)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1920,plain,
( X2 = X5
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),arrow_207701375_below(X3,X5,X4)))
| X5 = X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1921,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X3,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2))))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,esk60_3(X1,X2,X3))),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1025]),
[final] ).
cnf(i_0_1922,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X3,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2))))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,esk62_3(X1,X2,X3))),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1026]),
[final] ).
cnf(i_0_1923,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2))))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,esk61_3(X1,X2,X3))),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1027]),
[final] ).
cnf(i_0_1924,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_865]),
[final] ).
cnf(i_0_1925,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1926,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk56_3(X1,X2,X3)),esk57_3(X1,X2,X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(X3,X1)),X2)),hAPP_nat_nat(X3,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1004]),
[final] ).
cnf(i_0_1927,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba))
| hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1928,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
| is_Arr859726945e_indi(esk5_4(X3,X4,X2,X1))
| X2 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_998]),
[final] ).
cnf(i_0_1929,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_f1817389232t_bool(f,X4)))
| is_Arr859726945e_indi(esk5_4(X4,X3,X1,X2))
| X1 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_f1817389232t_bool(f,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_998]),
[final] ).
cnf(i_0_1930,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1931,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1932,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1933,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,hAPP_A340536322t_bool(p,X1)),c),e)))
| hAPP_A1895296483di_nat(h,X1) != n
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
inference(cn,[status(thm)],[i_0_1028]),
[final] ).
cnf(i_0_1934,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1935,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),e)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,n),one_one_nat)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)) ),
inference(split_conjunct,[status(thm)],[i_0_1000]),
[final] ).
cnf(i_0_1936,plain,
( finite_card_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(member_nat),suc)),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2))) = finite_card_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2))))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1029,c_0_1009]),c_0_1009]),
[final] ).
cnf(i_0_1937,plain,
( X3 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| X3 = X2
| X4 = X2
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X4),X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1938,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),X4))
| X3 = X2
| X5 = X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X5),X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1939,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| X3 = X2
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X3),X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1940,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(cn,[status(thm)],[i_0_1030]),
[final] ).
cnf(i_0_1941,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1942,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk11_1(X1),X2)))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk10_1(X1),X2)))
| ~ is_Arr859726945e_indi(X2) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1943,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk10_1(X1),X2)))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_A340536322t_bool(esk11_1(X1),X2)))
| ~ is_Arr859726945e_indi(X2) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1944,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk23_2(X1,X2)),esk24_2(X1,X2))),hAPP_A340536322t_bool(esk22_2(X1,X2),X1)))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2),X1))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_1023]),
[final] ).
cnf(i_0_1945,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e))) ),
inference(cn,[status(thm)],[i_0_1031]),
[final] ).
cnf(i_0_1946,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1947,plain,
( X3 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X4),X2)))
| X4 = X2
| X1 != X2
| X3 != X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1948,plain,
( X3 = X2
| X3 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X4),X2)))
| X4 = X2
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1949,plain,
( X1 = X5
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X3),X4),X5)))
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| X1 != X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1950,plain,
( X2 = X4
| X1 = X4
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X3),X5),X4)))
| X5 = X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1951,plain,
( X1 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X3),X2)))
| X3 = X2
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1952,plain,
( X3 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),X5))
| X3 = X2
| X2 = X4
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),arrow_207701375_below(X5,X2,X4)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1953,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X4))
| X3 = X2
| X2 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),arrow_207701375_below(X4,X2,X5)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1954,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| X2 = X4
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),arrow_207701375_below(X5,X2,X4)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1955,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)) ),
inference(cn,[status(thm)],[i_0_1032]),
[final] ).
cnf(i_0_1956,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1957,plain,
( hAPP_A1895296483di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A1895296483di_nat(h,X1)),n))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,e),d)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,hAPP_A340536322t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)) ),
inference(cn,[status(thm)],[i_0_1033]),
[final] ).
cnf(i_0_1958,plain,
( X1 = X3
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),arrow_207701375_below(X5,X2,X4)))
| X2 = X4
| X1 != X2
| X3 != X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1959,plain,
( X4 = X2
| X1 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X4)),arrow_207701375_below(X5,X2,X3)))
| X2 = X3
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1960,plain,
( X2 = X5
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),arrow_207701375_below(X3,X5,X4)))
| X5 = X4
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| X2 != X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X5)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1961,plain,
( X1 = X4
| X2 = X4
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),arrow_207701375_below(X3,X4,X5)))
| X4 = X5
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1962,plain,
( X3 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),arrow_207701375_below(X5,X2,X4)))
| X2 = X4
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1963,plain,
( X2 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1034]),
[final] ).
cnf(i_0_1964,plain,
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X1))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1035]),
[final] ).
cnf(i_0_1965,plain,
( X4 = X5
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X3),X4),X5)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1966,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk10_1(X1))))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk12_1(X1)),esk13_1(X1))),hAPP_f1817389232t_bool(X1,esk11_1(X1))))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_1967,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X2)))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1036]),
[final] ).
cnf(i_0_1968,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X2)))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1037]),
[final] ).
cnf(i_0_1969,plain,
( X1 = X2
| X1 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X3),X4)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1037]),
[final] ).
cnf(i_0_1970,plain,
( X1 = X2
| X2 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X3),X4)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1036]),
[final] ).
cnf(i_0_1971,plain,
( X2 = X4
| X1 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X3),X4)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1037]),
[final] ).
cnf(i_0_1972,plain,
( X1 = X4
| X2 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X3),X4)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1036]),
[final] ).
cnf(i_0_1973,plain,
( is_Arr859726945e_indi(esk14_4(X1,X2,X3,X4))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),hAPP_f1817389232t_bool(X1,X2)))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X4)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1001]),
[final] ).
cnf(i_0_1974,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk58_3(X1,X2,X3)),esk59_3(X1,X2,X3)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X3,X1)),hAPP_nat_nat(X3,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1007]),
[final] ).
cnf(i_0_1975,plain,
( X4 = X5
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),arrow_207701375_below(X3,X4,X5)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1976,plain,
( finite_card_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,X2)))) != zero_zero_nat
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),X1)) ),
inference(rw,[status(thm)],[i_0_1038,c_0_1009]),
[final] ).
cnf(i_0_1977,plain,
( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(cOMBB_800536526ol_nat(ord_less_eq_nat),X2)),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk80_2(X1,X2)),hAPP_nat_nat(X2,esk80_2(X1,X2)))) ),
inference(rw,[status(thm)],[i_0_1039,c_0_1009]),
[final] ).
cnf(i_0_1978,plain,
( hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X1)),esk17_1(X1))),hAPP_f1817389232t_bool(X1,esk15_1(X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_1001]),
[final] ).
cnf(i_0_1979,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk43_2(X1,X2))),hAPP_nat_bool(X2,esk43_2(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1040]),
[final] ).
cnf(i_0_1980,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk28_2(X1,X2))),hAPP_nat_bool(X2,esk28_2(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1041]),
[final] ).
cnf(i_0_1981,plain,
( finite1524925796t_bool(X2) = finite945540987t_bool(X3)
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
| ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X1),X2))
| ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X4),pi_fun328162388t_bool(X3,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X2))))
| ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X4),X3))
| ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X2))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1042]),
[final] ).
cnf(i_0_1982,plain,
( finite945540987t_bool(X2) = finite1524925796t_bool(X3)
| ~ hBOOL(hAPP_f1363425282l_bool(hAPP_f1980578603l_bool(member363954533t_bool,X1),pi_fun328162388t_bool(X2,hAPP_f23348649l_bool(cOMBK_761999167t_bool,X3))))
| ~ hBOOL(hAPP_f560517119l_bool(inj_on735362094t_bool(X1),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),pi_fun1555365306t_bool(X3,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2))))
| ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X4),X3))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
| ~ hBOOL(hAPP_f147218624l_bool(finite1323840035t_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1043]),
[final] ).
cnf(i_0_1983,plain,
( finite945540987t_bool(X2) = finite354462354e_indi(X3)
| ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X1),pi_fun596906370e_indi(X2,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X3))))
| ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X1),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X3,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2))))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X4),X3))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X2))
| ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1044]),
[final] ).
cnf(i_0_1984,plain,
( finite354462354e_indi(X2) = finite945540987t_bool(X3)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X1),X2))
| ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X4),pi_fun596906370e_indi(X3,hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X2))))
| ~ hBOOL(hAPP_f560517119l_bool(inj_on302999388e_indi(X4),X3))
| ~ hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,X2))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1045]),
[final] ).
cnf(i_0_1985,plain,
( finite1044330389le_alt(X2) = finite_card_bool(X3)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
| ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X1),X2))
| ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X4),pi_boo1542163389le_alt(X3,hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X2))))
| ~ hBOOL(hAPP_f387058535l_bool(inj_on67207011le_alt(X4),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(finite955821396le_alt,X2))
| ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1046]),
[final] ).
cnf(i_0_1986,plain,
( X1 = X2
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X3),X1),X2)),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_1047]),
[final] ).
cnf(i_0_1987,plain,
( X1 = hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),hAPP_n1699378549t_bool(ord_at4362885an_nat(X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),finite_card_nat(X1))))) ),
inference(split_conjunct,[status(thm)],[i_0_1048]),
[final] ).
cnf(i_0_1988,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1049]),
[final] ).
cnf(i_0_1989,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1050]),
[final] ).
cnf(i_0_1990,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1051]),
[final] ).
cnf(i_0_1991,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1052]),
[final] ).
cnf(i_0_1992,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1053]),
[final] ).
cnf(i_0_1993,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1054]),
[final] ).
cnf(i_0_1994,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1055]),
[final] ).
cnf(i_0_1995,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1056]),
[final] ).
cnf(i_0_1996,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1057]),
[final] ).
cnf(i_0_1997,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1058]),
[final] ).
cnf(i_0_1998,plain,
( X3 = X2
| X3 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X5),X4),X2)))
| X4 = X2
| X1 != X2
| X3 != X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1999,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),X3))
| X1 = X2
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1034]),
[final] ).
cnf(i_0_2000,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X2,X3)))
| is_Arr859726945e_indi(esk65_4(X3,X1,X4,X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1022]),
[final] ).
cnf(i_0_2001,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),pi_Arr1801471756t_bool(X2,X3)))
| is_Arr859726945e_indi(esk65_4(X3,X4,X1,X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_1022]),
[final] ).
cnf(i_0_2002,plain,
( X1 != X2
| X1 != X3
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X2)))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1036]),
[final] ).
cnf(i_0_2003,plain,
( X1 != X2
| X3 != X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X2)))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1037]),
[final] ).
cnf(i_0_2004,plain,
( X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X2)))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1037]),
[final] ).
cnf(i_0_2005,plain,
( X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X2)))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1036]),
[final] ).
cnf(i_0_2006,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1059]),
[final] ).
cnf(i_0_2007,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1060]),
[final] ).
cnf(i_0_2008,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1061]),
[final] ).
cnf(i_0_2009,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1062]),
[final] ).
cnf(i_0_2010,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1063]),
[final] ).
cnf(i_0_2011,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1064]),
[final] ).
cnf(i_0_2012,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1065]),
[final] ).
cnf(i_0_2013,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1066]),
[final] ).
cnf(i_0_2014,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1067]),
[final] ).
cnf(i_0_2015,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1068]),
[final] ).
cnf(i_0_2016,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1069]),
[final] ).
cnf(i_0_2017,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1070]),
[final] ).
cnf(i_0_2018,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1071]),
[final] ).
cnf(i_0_2019,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X4)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1072]),
[final] ).
cnf(i_0_2020,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk44_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X3,X1)),pi_Pro1873779901t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1010]),
[final] ).
cnf(i_0_2021,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk46_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X3,X1)),pi_fun1555365306t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1011]),
[final] ).
cnf(i_0_2022,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk45_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X3,X1)),pi_Arr1801471756t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1012]),
[final] ).
cnf(i_0_2023,plain,
( X3 = X2
| X1 = X3
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),arrow_207701375_below(X5,X2,X4)))
| X2 = X4
| X1 != X2
| X3 != X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_2024,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk60_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X3,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1025]),
[final] ).
cnf(i_0_2025,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk62_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X3,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1026]),
[final] ).
cnf(i_0_2026,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk61_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1027]),
[final] ).
cnf(i_0_2027,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk88_3(X1,X2,X3)),X3))
| hBOOL(hAPP_nat_bool(X1,X2))
| ~ hBOOL(hAPP_nat_bool(X1,X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1073]),
[final] ).
cnf(i_0_2028,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk88_3(X1,X2,X3))))
| hBOOL(hAPP_nat_bool(X1,X2))
| ~ hBOOL(hAPP_nat_bool(X1,X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1073]),
[final] ).
cnf(i_0_2029,plain,
( hBOOL(in_rel1361124802le_alt(X3,X1,X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1074]),
[final] ).
cnf(i_0_2030,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1075]),
[final] ).
cnf(i_0_2031,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1075]),
[final] ).
cnf(i_0_2032,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1076]),
[final] ).
cnf(i_0_2033,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1077]),
[final] ).
cnf(i_0_2034,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1078]),
[final] ).
cnf(i_0_2035,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1079]),
[final] ).
cnf(i_0_2036,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1080]),
[final] ).
cnf(i_0_2037,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1081]),
[final] ).
cnf(i_0_2038,plain,
( X1 = X2
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,arrow_207701375_below(X3,X1,X2)),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),arrow_912654623le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_1082]),
[final] ).
cnf(i_0_2039,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk67_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1014]),
[final] ).
cnf(i_0_2040,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk34_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1015]),
[final] ).
cnf(i_0_2041,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk69_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1016]),
[final] ).
cnf(i_0_2042,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk36_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1017]),
[final] ).
cnf(i_0_2043,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk68_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1018]),
[final] ).
cnf(i_0_2044,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk35_3(X1,X2,X3)),X3))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1019]),
[final] ).
cnf(i_0_2045,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1083]),
[final] ).
cnf(i_0_2046,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1049]),
[final] ).
cnf(i_0_2047,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1084]),
[final] ).
cnf(i_0_2048,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1051]),
[final] ).
cnf(i_0_2049,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1052]),
[final] ).
cnf(i_0_2050,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1085]),
[final] ).
cnf(i_0_2051,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1086]),
[final] ).
cnf(i_0_2052,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1054]),
[final] ).
cnf(i_0_2053,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1087]),
[final] ).
cnf(i_0_2054,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1056]),
[final] ).
cnf(i_0_2055,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1057]),
[final] ).
cnf(i_0_2056,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1088]),
[final] ).
cnf(i_0_2057,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_A340536322t_bool(p,hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,h),n)))),
inference(split_conjunct,[status(thm)],[fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0]),
[final] ).
cnf(i_0_2058,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk16_1(X2)),esk17_1(X2))),hAPP_A340536322t_bool(esk15_1(X2),X1)))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X2))
| ~ is_Arr859726945e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1001]),
[final] ).
cnf(i_0_2059,plain,
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X2))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X1,X3,X2)),X2))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1089]),
[final] ).
cnf(i_0_2060,plain,
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X2))
| hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk74_3(X3,X1,X2)),X2))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1089]),
[final] ).
cnf(i_0_2061,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X2))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X1,X3,X2)),X2))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1090]),
[final] ).
cnf(i_0_2062,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X2))
| hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk75_3(X3,X1,X2)),X2))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1090]),
[final] ).
cnf(i_0_2063,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X1)),hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),X2)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1059]),
[final] ).
cnf(i_0_2064,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X1)),hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,member1704306684t_bool),X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1060]),
[final] ).
cnf(i_0_2065,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X1)),hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,member1619170513t_bool),X2)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1061]),
[final] ).
cnf(i_0_2066,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X1)),hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,member1265098019t_bool),X2)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1062]),
[final] ).
cnf(i_0_2067,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X1)),hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,member_Product_unit),X2)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1063]),
[final] ).
cnf(i_0_2068,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X1)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),X2)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1064]),
[final] ).
cnf(i_0_2069,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X1)),hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,member_bool),X2)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1065]),
[final] ).
cnf(i_0_2070,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X1)),hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,member161528657e_indi),X2)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1066]),
[final] ).
cnf(i_0_2071,plain,
( hBOOL(hAPP_nat_bool(X1,X2))
| ~ hBOOL(hAPP_nat_bool(X1,esk88_3(X1,X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X1,X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1073]),
[final] ).
cnf(i_0_2072,negated_conjecture,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
inference(split_conjunct,[status(thm)],[i_0_1091]),
[final] ).
cnf(i_0_2073,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[i_0_1092]),
[final] ).
cnf(i_0_2074,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1093]),
[final] ).
cnf(i_0_2075,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk22_2(X1,X2)),arrow_583275979e_Prof))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2),X1))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_1023]),
[final] ).
cnf(i_0_2076,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1524925796t_bool(X2)),finite945540987t_bool(X3)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X3))))
| ~ hBOOL(hAPP_f147218624l_bool(inj_on1962565012t_bool(X1),X2))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1094]),
[final] ).
cnf(i_0_2077,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite1044330389le_alt(X2)),finite_card_bool(X3)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X3))))
| ~ hBOOL(hAPP_f1733357041l_bool(inj_on398823523t_bool(X1),X2))
| ~ hBOOL(hAPP_f387058535l_bool(finite_finite_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1095]),
[final] ).
cnf(i_0_2078,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite_card_nat(X2)),finite_card_nat(X3)))
| ~ hBOOL(hAPP_f1426445843l_bool(hAPP_f2040535501l_bool(member_fun_nat_nat,X1),pi_nat_nat(X2,hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X3))))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1096]),
[final] ).
cnf(i_0_2079,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X2)),finite945540987t_bool(X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1507564774t_bool(X1),X2))
| ~ hBOOL(hAPP_f560517119l_bool(finite274731772t_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1097]),
[final] ).
cnf(i_0_2080,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,finite354462354e_indi(X2)),finite_card_nat(X3)))
| ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X1),pi_Arr604548589di_nat(X2,hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X3))))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1098]),
[final] ).
cnf(i_0_2081,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_P1931143485le_alt(X1,X4)),hAPP_P401722323t_bool(X3,X4)))
| ~ hBOOL(hAPP_f1117143157l_bool(hAPP_f2011903565l_bool(member485283698le_alt,X1),pi_Pro1208494515le_alt(X2,X3)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1099]),
[final] ).
cnf(i_0_2082,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_b1482008903le_alt(X1,X4)),hAPP_b763490121t_bool(X3,X4)))
| ~ hBOOL(hAPP_f2053170815l_bool(hAPP_f452450509l_bool(member300433020le_alt,X1),pi_boo1542163389le_alt(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1100]),
[final] ).
cnf(i_0_2083,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A503573454le_alt(X1,X4)),hAPP_A340536322t_bool(X3,X4)))
| ~ hBOOL(hAPP_f1291635206l_bool(hAPP_f1234917389l_bool(member219620739le_alt,X1),pi_Arr1064242500le_alt(X2,X3)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1101]),
[final] ).
cnf(i_0_2084,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X4)),hAPP_f1895971544l_bool(X3,X4)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1102]),
[final] ).
cnf(i_0_2085,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_f1817389232t_bool(X1,X4)),hAPP_f1895971544l_bool(X3,X4)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),pi_fun1555365306t_bool(X2,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1103]),
[final] ).
cnf(i_0_2086,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_P401722323t_bool(X1,X4)),hAPP_P288224245l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1965705105l_bool(hAPP_f177302985l_bool(member928589940t_bool,X1),pi_Pro1925515229t_bool(X2,X3)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1104]),
[final] ).
cnf(i_0_2087,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_b763490121t_bool(X1,X4)),hAPP_b805997823l_bool(X3,X4)))
| ~ hBOOL(hAPP_f937100551l_bool(hAPP_f840347317l_bool(member1258284266t_bool,X1),pi_boo1746012499t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1105]),
[final] ).
cnf(i_0_2088,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X4)),hAPP_A659996934l_bool(X3,X4)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1106]),
[final] ).
cnf(i_0_2089,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X4)),hAPP_A659996934l_bool(X3,X4)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1107]),
[final] ).
cnf(i_0_2090,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_P1157363642t_bool(X1,X4)),hAPP_P1305865168l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1597773170l_bool(hAPP_f627309453l_bool(member1775405935t_bool,X1),pi_Pro831923248t_bool(X2,X3)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1108]),
[final] ).
cnf(i_0_2091,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_b327863236t_bool(X1,X4)),hAPP_b651754310l_bool(X3,X4)))
| ~ hBOOL(hAPP_f740740988l_bool(hAPP_f2134766349l_bool(member930088569t_bool,X1),pi_boo68262458t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1109]),
[final] ).
cnf(i_0_2092,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,hAPP_A1433148491t_bool(X1,X4)),hAPP_A955165183l_bool(X3,X4)))
| ~ hBOOL(hAPP_f2016919811l_bool(hAPP_f1063991245l_bool(member689634176t_bool,X1),pi_Arr742795713t_bool(X2,X3)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1110]),
[final] ).
cnf(i_0_2093,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_P1245388556t_bool(X1,X4)),hAPP_P667392034l_bool(X3,X4)))
| ~ hBOOL(hAPP_f866114756l_bool(hAPP_f813426957l_bool(member1044213697t_bool,X1),pi_Pro1114473858t_bool(X2,X3)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1111]),
[final] ).
cnf(i_0_2094,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_b821377302t_bool(X1,X4)),hAPP_b1461182872l_bool(X3,X4)))
| ~ hBOOL(hAPP_f620747982l_bool(hAPP_f1518101645l_bool(member1024929995t_bool,X1),pi_boo679625100t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1112]),
[final] ).
cnf(i_0_2095,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_A739031709t_bool(X1,X4)),hAPP_A701636433l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1898839893l_bool(hAPP_f1836999501l_bool(member104322770t_bool,X1),pi_Arr656802323t_bool(X2,X3)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1113]),
[final] ).
cnf(i_0_2096,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_n633340360t_unit(X1,X4)),hAPP_n454528608t_bool(X3,X4)))
| ~ hBOOL(hAPP_f537623936l_bool(hAPP_f1598887207l_bool(member1024687843t_unit,X1),pi_nat_Product_unit(X2,X3)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1114]),
[final] ).
cnf(i_0_2097,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1636264423t_unit(X1,X4)),hAPP_f649586561t_bool(X3,X4)))
| ~ hBOOL(hAPP_f1384787615l_bool(hAPP_f715600357l_bool(member416763266t_unit,X1),pi_fun1012573681t_unit(X2,X3)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1115]),
[final] ).
cnf(i_0_2098,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f1716204858t_unit(X1,X4)),hAPP_f1841347694t_bool(X3,X4)))
| ~ hBOOL(hAPP_f966397426l_bool(hAPP_f1957108621l_bool(member1941767151t_unit,X1),pi_fun1390764464t_unit(X2,X3)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1116]),
[final] ).
cnf(i_0_2099,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_f754536332t_unit(X1,X4)),hAPP_f1009478556t_bool(X3,X4)))
| ~ hBOOL(hAPP_f1082951236l_bool(hAPP_f1160956173l_bool(member982489409t_unit,X1),pi_fun623621634t_unit(X2,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1117]),
[final] ).
cnf(i_0_2100,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,hAPP_P992343101t_unit(X1,X4)),hAPP_P822772139t_bool(X3,X4)))
| ~ hBOOL(hAPP_f557371893l_bool(hAPP_f785487437l_bool(member1226631410t_unit,X1),pi_Pro269694131t_unit(X2,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1118]),
[final] ).
cnf(i_0_2101,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_P426034740it_nat(X1,X4)),hAPP_P32877782t_bool(X3,X4)))
| ~ hBOOL(hAPP_f339859954l_bool(hAPP_f1950626059l_bool(member87760213it_nat,X1),pi_Product_unit_nat(X2,X3)))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1119]),
[final] ).
cnf(i_0_2102,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_bool_nat(X1,X4)),hAPP_b1013836512t_bool(X3,X4)))
| ~ hBOOL(hAPP_f67777128l_bool(hAPP_f144393719l_bool(member_fun_bool_nat,X1),pi_bool_nat(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1120]),
[final] ).
cnf(i_0_2103,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_A1895296483di_nat(X1,X4)),hAPP_A1948275303t_bool(X3,X4)))
| ~ hBOOL(hAPP_f599997089l_bool(hAPP_f758593513l_bool(member873781636di_nat,X1),pi_Arr604548589di_nat(X2,X3)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1121]),
[final] ).
cnf(i_0_2104,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X4)),hAPP_P1122857141l_bool(X3,X4)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1122]),
[final] ).
cnf(i_0_2105,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_P1813625415t_bool(X1,X4)),hAPP_P1122857141l_bool(X3,X4)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),pi_Pro1873779901t_bool(X2,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1123]),
[final] ).
cnf(i_0_2106,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1733357041l_bool(X1,X4)),hAPP_f812095627l_bool(X3,X4)))
| ~ hBOOL(hAPP_f560261801l_bool(hAPP_f1171266041l_bool(member2021375116l_bool,X1),pi_fun568395771l_bool(X2,X3)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1124]),
[final] ).
cnf(i_0_2107,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f446648900l_bool(X1,X4)),hAPP_f721327224l_bool(X3,X4)))
| ~ hBOOL(hAPP_f750478076l_bool(hAPP_f2087408397l_bool(member48503289l_bool,X1),pi_fun187048122l_bool(X2,X3)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1125]),
[final] ).
cnf(i_0_2108,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_f1378099862l_bool(X1,X4)),hAPP_f591334822l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1138659662l_bool(hAPP_f1338606733l_bool(member1402889547l_bool,X1),pi_fun1236347660l_bool(X2,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1126]),
[final] ).
cnf(i_0_2109,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,hAPP_nat_bool(X1,X4)),hAPP_n1006566506l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),pi_nat_bool(X2,X3)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1127]),
[final] ).
cnf(i_0_2110,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_P1645359566e_indi(X1,X4)),hAPP_P957402556i_bool(X3,X4)))
| ~ hBOOL(hAPP_f817344902l_bool(hAPP_f1387788301l_bool(member220564739e_indi,X1),pi_Pro58544964e_indi(X2,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1128]),
[final] ).
cnf(i_0_2111,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f1283454584e_indi(X1,X4)),hAPP_f431432850i_bool(X3,X4)))
| ~ hBOOL(hAPP_f1021828400l_bool(hAPP_f2022872455l_bool(member1935624595e_indi,X1),pi_fun596906370e_indi(X2,X3)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1129]),
[final] ).
cnf(i_0_2112,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f2043811403e_indi(X1,X4)),hAPP_f783549695i_bool(X3,X4)))
| ~ hBOOL(hAPP_f742658307l_bool(hAPP_f749156301l_bool(member234310528e_indi,X1),pi_fun1353458625e_indi(X2,X3)))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1130]),
[final] ).
cnf(i_0_2113,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_f350403485e_indi(X1,X4)),hAPP_f1570138413i_bool(X3,X4)))
| ~ hBOOL(hAPP_f882250837l_bool(hAPP_f1140532045l_bool(member1618799570e_indi,X1),pi_fun268174099e_indi(X2,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1131]),
[final] ).
cnf(i_0_2114,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,hAPP_n619554777e_indi(X1,X4)),hAPP_n1600508401i_bool(X3,X4)))
| ~ hBOOL(hAPP_f1428735377l_bool(hAPP_f544923081l_bool(member1801639028e_indi,X1),pi_nat1476290531e_indi(X2,X3)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1132]),
[final] ).
cnf(i_0_2115,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X1))
| ~ hBOOL(in_rel1361124802le_alt(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1074]),
[final] ).
cnf(i_0_2116,plain,
( X1 = X3
| X3 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X4),X2)))
| X1 != X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1036]),
[final] ).
cnf(i_0_2117,plain,
( X3 = X1
| X3 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X4),X2)))
| X1 != X2
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1037]),
[final] ).
cnf(i_0_2118,plain,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lab)),
inference(split_conjunct,[status(thm)],[i_0_1133]),
[final] ).
cnf(i_0_2119,plain,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lba)),
inference(split_conjunct,[status(thm)],[i_0_1134]),
[final] ).
cnf(i_0_2120,plain,
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| hAPP_nat_nat(X1,esk74_3(X1,X3,X2)) != hAPP_nat_nat(X3,esk74_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1089]),
[final] ).
cnf(i_0_2121,plain,
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| hAPP_nat_nat(X3,esk74_3(X3,X1,X2)) != hAPP_nat_nat(X1,esk74_3(X3,X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1089]),
[final] ).
cnf(i_0_2122,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
| hAPP_A1895296483di_nat(X1,esk75_3(X1,X3,X2)) != hAPP_A1895296483di_nat(X3,esk75_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1090]),
[final] ).
cnf(i_0_2123,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
| hAPP_A1895296483di_nat(X3,esk75_3(X3,X1,X2)) != hAPP_A1895296483di_nat(X1,esk75_3(X3,X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1090]),
[final] ).
cnf(i_0_2124,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1135]),
[final] ).
cnf(i_0_2125,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X1),X2)),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_1136]),
[final] ).
cnf(i_0_2126,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X1),X2)),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_1137]),
[final] ).
cnf(i_0_2127,plain,
hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(fconj),X1),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X2)))),
inference(rw,[status(thm)],[i_0_1138,c_0_1009]),
[final] ).
cnf(i_0_2128,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,esk82_2(X2,X1)),one_one_nat)))
| hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1139]),
[final] ).
cnf(i_0_2129,plain,
( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2),X1))
| esk23_2(X1,X2) != esk24_2(X1,X2)
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_1023]),
[final] ).
cnf(i_0_2130,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),esk25_2(X1,X2)))
| X1 = X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1140]),
[final] ).
cnf(i_0_2131,plain,
( is_Arr723427730le_alt(esk24_2(X1,X2))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2),X1))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_1023]),
[final] ).
cnf(i_0_2132,plain,
( is_Arr723427730le_alt(esk23_2(X1,X2))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X2),X1))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_1023]),
[final] ).
cnf(i_0_2133,plain,
( hBOOL(hAPP_P1813625415t_bool(X1,X2))
| ~ hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,esk7_1(X1)),esk8_1(X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_1141]),
[final] ).
cnf(i_0_2134,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1142]),
[final] ).
cnf(i_0_2135,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1143]),
[final] ).
cnf(i_0_2136,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1144]),
[final] ).
cnf(i_0_2137,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))),
inference(split_conjunct,[status(thm)],[i_0_1145]),
[final] ).
cnf(i_0_2138,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1)))),
inference(split_conjunct,[status(thm)],[i_0_1146]),
[final] ).
cnf(i_0_2139,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1147]),
[final] ).
cnf(i_0_2140,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk93_2(X1,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1148]),
[final] ).
cnf(i_0_2141,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1149]),
[final] ).
cnf(i_0_2142,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk87_2(X1,X2)),X2))
| X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1150]),
[final] ).
cnf(i_0_2143,plain,
( X1 = X2
| ~ is_Arr859726945e_indi(X1)
| ~ is_Arr859726945e_indi(X2)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
| hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1151]),
[final] ).
cnf(i_0_2144,plain,
( X1 = X2
| ~ is_Arr859726945e_indi(X1)
| ~ is_Arr859726945e_indi(X2)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X4))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X4))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
| hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1152]),
[final] ).
cnf(i_0_2145,plain,
( X2 = X3
| hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X4))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X4))
| ~ is_Arr859726945e_indi(X3)
| ~ is_Arr859726945e_indi(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1153]),
[final] ).
cnf(i_0_2146,plain,
( X3 = X4
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
| ~ is_Arr859726945e_indi(X3)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X2))
| ~ is_Arr859726945e_indi(X4)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2))
| hAPP_A1895296483di_nat(X1,X3) != hAPP_A1895296483di_nat(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1154]),
[final] ).
cnf(i_0_2147,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X2),X1))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1155]),
[final] ).
cnf(i_0_2148,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X2),X1))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1156]),
[final] ).
cnf(i_0_2149,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X2),X1))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1157]),
[final] ).
cnf(i_0_2150,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X2),X1))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1158]),
[final] ).
cnf(i_0_2151,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1159]),
[final] ).
cnf(i_0_2152,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1160]),
[final] ).
cnf(i_0_2153,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X2),X1))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1161]),
[final] ).
cnf(i_0_2154,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1162]),
[final] ).
cnf(i_0_2155,plain,
( hBOOL(hAPP_nat_bool(X1,X2))
| ~ hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk97_2(X2,X1))))
| ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1163]),
[final] ).
cnf(i_0_2156,plain,
( X2 = X3
| hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X4))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X4))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_1164]),
[final] ).
cnf(i_0_2157,plain,
( X3 = X4
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4)
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1165]),
[final] ).
cnf(i_0_2158,plain,
( X3 = X4
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
| hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1166]),
[final] ).
cnf(i_0_2159,plain,
( X3 = X4
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X4),X2))
| hAPP_nat_nat(X1,X3) != hAPP_nat_nat(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_1167]),
[final] ).
cnf(i_0_2160,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,pi_Pro1873779901t_bool(X2,X3)),pi_Pro1873779901t_bool(X1,X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1168]),
[final] ).
cnf(i_0_2161,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,pi_fun1555365306t_bool(X2,X3)),pi_fun1555365306t_bool(X1,X3)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1169]),
[final] ).
cnf(i_0_2162,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X2,X3)),pi_Arr1801471756t_bool(X1,X3)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1170]),
[final] ).
cnf(i_0_2163,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X3)),hAPP_nat_bool(X2,X3)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1041]),
[final] ).
cnf(i_0_2164,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X3)),hAPP_nat_bool(X2,X3)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1171]),
[final] ).
cnf(i_0_2165,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X3)),hAPP_nat_bool(X2,X3)))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1172]),
[final] ).
cnf(i_0_2166,plain,
( is_Arr859726945e_indi(esk45_3(X1,X2,X3))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,pi_Arr1801471756t_bool(X3,X1)),pi_Arr1801471756t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1012]),
[final] ).
cnf(i_0_2167,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1173]),
[final] ).
cnf(i_0_2168,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1174]),
[final] ).
cnf(i_0_2169,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1175]),
[final] ).
cnf(i_0_2170,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1176]),
[final] ).
cnf(i_0_2171,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1177]),
[final] ).
cnf(i_0_2172,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1178]),
[final] ).
cnf(i_0_2173,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1179]),
[final] ).
cnf(i_0_2174,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1180]),
[final] ).
cnf(i_0_2175,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1181]),
[final] ).
cnf(i_0_2176,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1182]),
[final] ).
cnf(i_0_2177,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1183]),
[final] ).
cnf(i_0_2178,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1184]),
[final] ).
cnf(i_0_2179,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1185]),
[final] ).
cnf(i_0_2180,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1142]),
[final] ).
cnf(i_0_2181,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1144]),
[final] ).
cnf(i_0_2182,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1186]),
[final] ).
cnf(i_0_2183,plain,
( is_Arr859726945e_indi(esk61_3(X1,X2,X3))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_1027]),
[final] ).
cnf(i_0_2184,plain,
( hBOOL(hAPP_nat_bool(X3,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk82_2(X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X3,X1))
| ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1139]),
[final] ).
cnf(i_0_2185,plain,
( hBOOL(hAPP_nat_bool(X3,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk83_2(X2,X3)))
| ~ hBOOL(hAPP_nat_bool(X3,X1))
| ~ hBOOL(hAPP_nat_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1187]),
[final] ).
cnf(i_0_2186,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1135]),
[final] ).
cnf(i_0_2187,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1135]),
[final] ).
cnf(i_0_2188,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),esk19_0)),
inference(split_conjunct,[status(thm)],[i_0_1188]),
[final] ).
cnf(i_0_2189,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,b),a)),lba)),
inference(split_conjunct,[status(thm)],[fact_77__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096]),
[final] ).
cnf(i_0_2190,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),esk18_0)),
inference(split_conjunct,[status(thm)],[i_0_1189]),
[final] ).
cnf(i_0_2191,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),lab)),
inference(split_conjunct,[status(thm)],[fact_76__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096]),
[final] ).
cnf(i_0_2192,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X3))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1190]),
[final] ).
cnf(i_0_2193,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1191]),
[final] ).
cnf(i_0_2194,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1192]),
[final] ).
cnf(i_0_2195,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1193]),
[final] ).
cnf(i_0_2196,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1194]),
[final] ).
cnf(i_0_2197,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X3))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1195]),
[final] ).
cnf(i_0_2198,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1196]),
[final] ).
cnf(i_0_2199,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1197]),
[final] ).
cnf(i_0_2200,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1198]),
[final] ).
cnf(i_0_2201,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),X2))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1199]),
[final] ).
cnf(i_0_2202,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X3))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1200]),
[final] ).
cnf(i_0_2203,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1201]),
[final] ).
cnf(i_0_2204,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1202]),
[final] ).
cnf(i_0_2205,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1203]),
[final] ).
cnf(i_0_2206,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),X2))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1204]),
[final] ).
cnf(i_0_2207,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X3))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1205]),
[final] ).
cnf(i_0_2208,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1206]),
[final] ).
cnf(i_0_2209,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1207]),
[final] ).
cnf(i_0_2210,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1208]),
[final] ).
cnf(i_0_2211,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1209]),
[final] ).
cnf(i_0_2212,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1210]),
[final] ).
cnf(i_0_2213,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1211]),
[final] ).
cnf(i_0_2214,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1212]),
[final] ).
cnf(i_0_2215,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1213]),
[final] ).
cnf(i_0_2216,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1214]),
[final] ).
cnf(i_0_2217,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X3))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1215]),
[final] ).
cnf(i_0_2218,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1216]),
[final] ).
cnf(i_0_2219,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1217]),
[final] ).
cnf(i_0_2220,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1218]),
[final] ).
cnf(i_0_2221,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X3))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1219]),
[final] ).
cnf(i_0_2222,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1220]),
[final] ).
cnf(i_0_2223,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1221]),
[final] ).
cnf(i_0_2224,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1222]),
[final] ).
cnf(i_0_2225,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1223]),
[final] ).
cnf(i_0_2226,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1224]),
[final] ).
cnf(i_0_2227,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1225]),
[final] ).
cnf(i_0_2228,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1226]),
[final] ).
cnf(i_0_2229,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1227]),
[final] ).
cnf(i_0_2230,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1228]),
[final] ).
cnf(i_0_2231,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1229]),
[final] ).
cnf(i_0_2232,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1230]),
[final] ).
cnf(i_0_2233,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1231]),
[final] ).
cnf(i_0_2234,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1232]),
[final] ).
cnf(i_0_2235,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1233]),
[final] ).
cnf(i_0_2236,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1234]),
[final] ).
cnf(i_0_2237,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1235]),
[final] ).
cnf(i_0_2238,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1236]),
[final] ).
cnf(i_0_2239,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1237]),
[final] ).
cnf(i_0_2240,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1238]),
[final] ).
cnf(i_0_2241,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1239]),
[final] ).
cnf(i_0_2242,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1240]),
[final] ).
cnf(i_0_2243,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X3))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1241]),
[final] ).
cnf(i_0_2244,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le197158773l_bool,X1),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1242]),
[final] ).
cnf(i_0_2245,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1243]),
[final] ).
cnf(i_0_2246,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1244]),
[final] ).
cnf(i_0_2247,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X1),X2))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1245]),
[final] ).
cnf(i_0_2248,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1246]),
[final] ).
cnf(i_0_2249,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1247]),
[final] ).
cnf(i_0_2250,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1248]),
[final] ).
cnf(i_0_2251,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1249]),
[final] ).
cnf(i_0_2252,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1250]),
[final] ).
cnf(i_0_2253,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1251]),
[final] ).
cnf(i_0_2254,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1252]),
[final] ).
cnf(i_0_2255,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1253]),
[final] ).
cnf(i_0_2256,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1254]),
[final] ).
cnf(i_0_2257,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1255]),
[final] ).
cnf(i_0_2258,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1256]),
[final] ).
cnf(i_0_2259,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1257]),
[final] ).
cnf(i_0_2260,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1258]),
[final] ).
cnf(i_0_2261,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1259]),
[final] ).
cnf(i_0_2262,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1260]),
[final] ).
cnf(i_0_2263,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1261]),
[final] ).
cnf(i_0_2264,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1262]),
[final] ).
cnf(i_0_2265,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1263]),
[final] ).
cnf(i_0_2266,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1264]),
[final] ).
cnf(i_0_2267,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1265]),
[final] ).
cnf(i_0_2268,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1266]),
[final] ).
cnf(i_0_2269,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1267]),
[final] ).
cnf(i_0_2270,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1268]),
[final] ).
cnf(i_0_2271,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1269]),
[final] ).
cnf(i_0_2272,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1270]),
[final] ).
cnf(i_0_2273,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1271]),
[final] ).
cnf(i_0_2274,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1272]),
[final] ).
cnf(i_0_2275,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1273]),
[final] ).
cnf(i_0_2276,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1274]),
[final] ).
cnf(i_0_2277,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1275]),
[final] ).
cnf(i_0_2278,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X4) ),
inference(split_conjunct,[status(thm)],[i_0_1276]),
[final] ).
cnf(i_0_2279,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1277]),
[final] ).
cnf(i_0_2280,plain,
( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk77_2(X1,X2)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1278]),
[final] ).
cnf(i_0_2281,plain,
( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk79_2(X1,X2)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1279]),
[final] ).
cnf(i_0_2282,plain,
( hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk81_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1280]),
[final] ).
cnf(i_0_2283,plain,
hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),X1)),X2)),
inference(split_conjunct,[status(thm)],[i_0_1281]),
[final] ).
cnf(i_0_2284,plain,
( X1 = hAPP_nat_nat(suc,esk93_2(X2,X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1148]),
[final] ).
cnf(i_0_2285,plain,
( X2 = hAPP_nat_nat(suc,esk91_2(X1,X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1282]),
[final] ).
cnf(i_0_2286,plain,
( hAPP_nat_nat(suc,X1) = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1283]),
[final] ).
cnf(i_0_2287,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_1284]),
[final] ).
cnf(i_0_2288,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)),
inference(split_conjunct,[status(thm)],[i_0_1285]),
[final] ).
cnf(i_0_2289,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1174]),
[final] ).
cnf(i_0_2290,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1175]),
[final] ).
cnf(i_0_2291,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1286]),
[final] ).
cnf(i_0_2292,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 = hAPP_nat_nat(suc,X2)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1287]),
[final] ).
cnf(i_0_2293,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 = hAPP_nat_nat(suc,X2)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1288]),
[final] ).
cnf(i_0_2294,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1)),arrow_583275979e_Prof))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),arrow_912654623le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_1289]),
[final] ).
cnf(i_0_2295,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1290]),
[final] ).
cnf(i_0_2296,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1291]),
[final] ).
cnf(i_0_2297,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1292]),
[final] ).
cnf(i_0_2298,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1293]),
[final] ).
cnf(i_0_2299,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1294]),
[final] ).
cnf(i_0_2300,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1295]),
[final] ).
cnf(i_0_2301,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1296]),
[final] ).
cnf(i_0_2302,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1297]),
[final] ).
cnf(i_0_2303,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1298]),
[final] ).
cnf(i_0_2304,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1299]),
[final] ).
cnf(i_0_2305,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1300]),
[final] ).
cnf(i_0_2306,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1301]),
[final] ).
cnf(i_0_2307,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1302]),
[final] ).
cnf(i_0_2308,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X1)),
inference(split_conjunct,[status(thm)],[i_0_1303]),
[final] ).
cnf(i_0_2309,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X3)))
| X1 != hAPP_nat_nat(suc,X2)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1150]),
[final] ).
cnf(i_0_2310,plain,
( hAPP_f1817389232t_bool(X1,X3) = hAPP_A340536322t_bool(X3,X2)
| ~ hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X3),arrow_583275979e_Prof)) ),
inference(split_conjunct,[status(thm)],[i_0_1304]),
[final] ).
cnf(i_0_2311,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk92_2(X1,X2)))
| X2 = hAPP_nat_nat(suc,X1)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1305]),
[final] ).
cnf(i_0_2312,plain,
( hAPP_n619554777e_indi(hilber951314860di_nat(X3,X2),hAPP_A1895296483di_nat(X2,X1)) = X1
| ~ is_Arr859726945e_indi(X1)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1306]),
[final] ).
cnf(i_0_2313,plain,
( hAPP_n619554777e_indi(hilber951314860di_nat(X3,X2),X4) = X1
| ~ is_Arr859726945e_indi(X1)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
| hAPP_A1895296483di_nat(X2,X1) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_1307]),
[final] ).
cnf(i_0_2314,plain,
( X2 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),esk89_2(X1,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1308]),
[final] ).
cnf(i_0_2315,plain,
( X2 = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),esk85_2(X1,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1309]),
[final] ).
cnf(i_0_2316,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,esk54_2(X1,X2)),X2))
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1155]),
[final] ).
cnf(i_0_2317,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk51_2(X1,X2)),X2))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1156]),
[final] ).
cnf(i_0_2318,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,esk52_2(X1,X2)),X2))
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1157]),
[final] ).
cnf(i_0_2319,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk53_2(X1,X2)),X2))
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1158]),
[final] ).
cnf(i_0_2320,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,esk48_2(X1,X2)),X2))
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1159]),
[final] ).
cnf(i_0_2321,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk50_2(X1,X2)),X2))
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1160]),
[final] ).
cnf(i_0_2322,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,esk47_2(X1,X2)),X2))
| hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1161]),
[final] ).
cnf(i_0_2323,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk49_2(X1,X2)),X2))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1162]),
[final] ).
cnf(i_0_2324,plain,
( hBOOL(hAPP_P1813625415t_bool(X1,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)))
| ~ hBOOL(hAPP_P1813625415t_bool(X1,esk6_1(X1)))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3) ),
inference(split_conjunct,[status(thm)],[i_0_1141]),
[final] ).
cnf(i_0_2325,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk83_2(X1,X2)),X1))
| hBOOL(hAPP_nat_bool(X2,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1187]),
[final] ).
cnf(i_0_2326,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk82_2(X1,X2)),X1))
| hBOOL(hAPP_nat_bool(X2,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1139]),
[final] ).
cnf(i_0_2327,plain,
( hAPP_nat_nat(hilber195283148at_nat(X2,X1),hAPP_nat_nat(X1,X3)) = X3
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1310]),
[final] ).
cnf(i_0_2328,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk33_2(X1,X2)),arrow_583275979e_Prof))
| hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1304]),
[final] ).
cnf(i_0_2329,plain,
( hAPP_nat_nat(hilber195283148at_nat(X2,X1),X4) = X3
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))
| hAPP_nat_nat(X1,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_1311]),
[final] ).
cnf(i_0_2330,plain,
( hBOOL(X2)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1312]),
[final] ).
cnf(i_0_2331,plain,
( hBOOL(X2)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1312]),
[final] ).
cnf(i_0_2332,plain,
( hBOOL(X2)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1313]),
[final] ).
cnf(i_0_2333,plain,
( hBOOL(X2)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1313]),
[final] ).
cnf(i_0_2334,plain,
( hBOOL(X2)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1314]),
[final] ).
cnf(i_0_2335,plain,
( hBOOL(X2)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1314]),
[final] ).
cnf(i_0_2336,plain,
( hBOOL(X2)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1315]),
[final] ).
cnf(i_0_2337,plain,
( hBOOL(X2)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1315]),
[final] ).
cnf(i_0_2338,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),esk76_1(X1)))
| ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1278]),
[final] ).
cnf(i_0_2339,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),esk78_1(X1)))
| ~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1279]),
[final] ).
cnf(i_0_2340,plain,
( hilber951314860di_nat(top_to207207712i_bool,X2) = X1
| ~ is_fun1084921220e_indi(X1)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),top_to207207712i_bool))
| hAPP_A1895296483di_nat(X2,hAPP_n619554777e_indi(X1,esk38_2(X1,X2))) != esk38_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1316]),
[final] ).
cnf(i_0_2341,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1275]),
[final] ).
cnf(i_0_2342,plain,
( hBOOL(X3)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1317]),
[final] ).
cnf(i_0_2343,plain,
( hBOOL(X3)
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1318]),
[final] ).
cnf(i_0_2344,plain,
( hBOOL(X3)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1319]),
[final] ).
cnf(i_0_2345,plain,
( hBOOL(X3)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1320]),
[final] ).
cnf(i_0_2346,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1149]),
[final] ).
cnf(i_0_2347,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1321]),
[final] ).
cnf(i_0_2348,plain,
( hilber195283148at_nat(top_top_fun_nat_bool,X1) = X2
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
| hAPP_nat_nat(X1,hAPP_nat_nat(X2,esk37_2(X2,X1))) != esk37_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_1322]),
[final] ).
cnf(i_0_2349,plain,
( X1 = X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1323]),
[final] ).
cnf(i_0_2350,plain,
( X1 = X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1324]),
[final] ).
cnf(i_0_2351,plain,
( X1 = X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1325]),
[final] ).
cnf(i_0_2352,plain,
( X1 = X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1326]),
[final] ).
cnf(i_0_2353,plain,
( X1 = X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1327]),
[final] ).
cnf(i_0_2354,plain,
( X2 = X1
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1328]),
[final] ).
cnf(i_0_2355,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1329]),
[final] ).
cnf(i_0_2356,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1330]),
[final] ).
cnf(i_0_2357,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1331]),
[final] ).
cnf(i_0_2358,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1332]),
[final] ).
cnf(i_0_2359,plain,
( X2 = X1
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1333]),
[final] ).
cnf(i_0_2360,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk84_2(X1,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1334]),
[final] ).
cnf(i_0_2361,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1335]),
[final] ).
cnf(i_0_2362,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1288]),
[final] ).
cnf(i_0_2363,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1302]),
[final] ).
cnf(i_0_2364,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1336]),
[final] ).
cnf(i_0_2365,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1337]),
[final] ).
cnf(i_0_2366,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1301]),
[final] ).
cnf(i_0_2367,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1290]),
[final] ).
cnf(i_0_2368,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1291]),
[final] ).
cnf(i_0_2369,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1338]),
[final] ).
cnf(i_0_2370,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1339]),
[final] ).
cnf(i_0_2371,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1340]),
[final] ).
cnf(i_0_2372,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1341]),
[final] ).
cnf(i_0_2373,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1342]),
[final] ).
cnf(i_0_2374,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1292]),
[final] ).
cnf(i_0_2375,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1293]),
[final] ).
cnf(i_0_2376,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1343]),
[final] ).
cnf(i_0_2377,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1344]),
[final] ).
cnf(i_0_2378,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1345]),
[final] ).
cnf(i_0_2379,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1346]),
[final] ).
cnf(i_0_2380,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1347]),
[final] ).
cnf(i_0_2381,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1294]),
[final] ).
cnf(i_0_2382,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1295]),
[final] ).
cnf(i_0_2383,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1348]),
[final] ).
cnf(i_0_2384,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1349]),
[final] ).
cnf(i_0_2385,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1350]),
[final] ).
cnf(i_0_2386,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1351]),
[final] ).
cnf(i_0_2387,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1352]),
[final] ).
cnf(i_0_2388,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1353]),
[final] ).
cnf(i_0_2389,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1354]),
[final] ).
cnf(i_0_2390,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1296]),
[final] ).
cnf(i_0_2391,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1355]),
[final] ).
cnf(i_0_2392,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1356]),
[final] ).
cnf(i_0_2393,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1357]),
[final] ).
cnf(i_0_2394,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1358]),
[final] ).
cnf(i_0_2395,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1359]),
[final] ).
cnf(i_0_2396,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1360]),
[final] ).
cnf(i_0_2397,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1361]),
[final] ).
cnf(i_0_2398,plain,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1297]),
[final] ).
cnf(i_0_2399,plain,
( is_Arr859726945e_indi(esk68_3(X1,X2,X3))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1018]),
[final] ).
cnf(i_0_2400,plain,
( is_Arr859726945e_indi(esk35_3(X1,X2,X3))
| hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1019]),
[final] ).
cnf(i_0_2401,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(X3,X1),X2))
| X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1362]),
[final] ).
cnf(i_0_2402,plain,
( X1 = hAPP_nat_nat(suc,esk87_2(X1,X2))
| X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_1150]),
[final] ).
cnf(i_0_2403,plain,
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1363]),
[final] ).
cnf(i_0_2404,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1364]),
[final] ).
cnf(i_0_2405,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk71_2(X1,X2)),X2))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1365]),
[final] ).
cnf(i_0_2406,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk70_2(X1,X2)),X2))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1365]),
[final] ).
cnf(i_0_2407,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk30_2(X1,X2)),X2))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1167]),
[final] ).
cnf(i_0_2408,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk29_2(X1,X2)),X2))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1167]),
[final] ).
cnf(i_0_2409,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk73_2(X1,X2)),X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1366]),
[final] ).
cnf(i_0_2410,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk72_2(X1,X2)),X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1366]),
[final] ).
cnf(i_0_2411,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk32_2(X1,X2)),X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1154]),
[final] ).
cnf(i_0_2412,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,esk31_2(X1,X2)),X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1154]),
[final] ).
cnf(i_0_2413,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X2))
| is_Arr859726945e_indi(esk75_3(X1,X3,X2))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1090]),
[final] ).
cnf(i_0_2414,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X2))
| is_Arr859726945e_indi(esk75_3(X3,X1,X2))
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1090]),
[final] ).
cnf(i_0_2415,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))),
inference(split_conjunct,[status(thm)],[i_0_1367]),
[final] ).
cnf(i_0_2416,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1))),
inference(split_conjunct,[status(thm)],[i_0_1368]),
[final] ).
cnf(i_0_2417,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3)),
inference(split_conjunct,[status(thm)],[i_0_1369]),
[final] ).
cnf(i_0_2418,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),one_one_nat))),
inference(split_conjunct,[status(thm)],[i_0_1370]),
[final] ).
cnf(i_0_2419,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1371]),
[final] ).
cnf(i_0_2420,plain,
( X1 = X2
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1372]),
[final] ).
cnf(i_0_2421,plain,
( X2 = X1
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1373]),
[final] ).
cnf(i_0_2422,plain,
( X1 = X2
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1374]),
[final] ).
cnf(i_0_2423,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| X1 = X2
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1375]),
[final] ).
cnf(i_0_2424,plain,
( X1 = X2
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1376]),
[final] ).
cnf(i_0_2425,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1377]),
[final] ).
cnf(i_0_2426,plain,
( X1 = X2
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1378]),
[final] ).
cnf(i_0_2427,plain,
( X1 = X2
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X2),X1))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1379]),
[final] ).
cnf(i_0_2428,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1380]),
[final] ).
cnf(i_0_2429,plain,
( X1 = X2
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1381]),
[final] ).
cnf(i_0_2430,plain,
( X2 = X1
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1382]),
[final] ).
cnf(i_0_2431,plain,
( X1 = X2
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1383]),
[final] ).
cnf(i_0_2432,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| X1 = X2
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1384]),
[final] ).
cnf(i_0_2433,plain,
( X1 = X2
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1385]),
[final] ).
cnf(i_0_2434,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1386]),
[final] ).
cnf(i_0_2435,plain,
( X1 = X2
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1387]),
[final] ).
cnf(i_0_2436,plain,
( X1 = X2
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X2),X1))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1388]),
[final] ).
cnf(i_0_2437,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1371]),
[final] ).
cnf(i_0_2438,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1372]),
[final] ).
cnf(i_0_2439,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1377]),
[final] ).
cnf(i_0_2440,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1378]),
[final] ).
cnf(i_0_2441,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1380]),
[final] ).
cnf(i_0_2442,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1381]),
[final] ).
cnf(i_0_2443,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1386]),
[final] ).
cnf(i_0_2444,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1387]),
[final] ).
cnf(i_0_2445,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1313]),
[final] ).
cnf(i_0_2446,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
| ~ hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1389]),
[final] ).
cnf(i_0_2447,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X3))
| ~ hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1390]),
[final] ).
cnf(i_0_2448,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1))
| ~ hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1391]),
[final] ).
cnf(i_0_2449,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
| ~ hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1392]),
[final] ).
cnf(i_0_2450,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X1 != hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1309]),
[final] ).
cnf(i_0_2451,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1393]),
[final] ).
cnf(i_0_2452,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1394]),
[final] ).
cnf(i_0_2453,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1395]),
[final] ).
cnf(i_0_2454,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1396]),
[final] ).
cnf(i_0_2455,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1397]),
[final] ).
cnf(i_0_2456,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1398]),
[final] ).
cnf(i_0_2457,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1399]),
[final] ).
cnf(i_0_2458,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X1))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1393]),
[final] ).
cnf(i_0_2459,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X1))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1394]),
[final] ).
cnf(i_0_2460,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X1))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1395]),
[final] ).
cnf(i_0_2461,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X1))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1396]),
[final] ).
cnf(i_0_2462,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X1))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1397]),
[final] ).
cnf(i_0_2463,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X1))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1398]),
[final] ).
cnf(i_0_2464,plain,
( hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X2),X1))
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1399]),
[final] ).
cnf(i_0_2465,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk79_2(X1,X2)),X1))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1279]),
[final] ).
cnf(i_0_2466,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk77_2(X1,X2)),X1))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1278]),
[final] ).
cnf(i_0_2467,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk81_2(X1,X2)),X2))
| hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1280]),
[final] ).
cnf(i_0_2468,plain,
( hBOOL(X1)
| hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1313]),
[final] ).
cnf(i_0_2469,plain,
( hBOOL(X1)
| hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1389]),
[final] ).
cnf(i_0_2470,plain,
( hBOOL(X1)
| hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1390]),
[final] ).
cnf(i_0_2471,plain,
( hBOOL(X1)
| hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1391]),
[final] ).
cnf(i_0_2472,plain,
( hBOOL(X1)
| hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1392]),
[final] ).
cnf(i_0_2473,plain,
( hBOOL(hAPP_A416869060i_bool(hAPP_f783549695i_bool(arrow_1549387998ctator,X1),X2))
| hAPP_f1817389232t_bool(X1,esk33_2(X1,X2)) != hAPP_A340536322t_bool(esk33_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_1304]),
[final] ).
cnf(i_0_2474,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1300]),
[final] ).
cnf(i_0_2475,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1400]),
[final] ).
cnf(i_0_2476,plain,
( X1 = X2
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1401]),
[final] ).
cnf(i_0_2477,plain,
( X2 = X1
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1402]),
[final] ).
cnf(i_0_2478,plain,
( X1 = X2
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1403]),
[final] ).
cnf(i_0_2479,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1404]),
[final] ).
cnf(i_0_2480,plain,
( X1 = X2
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1405]),
[final] ).
cnf(i_0_2481,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1406]),
[final] ).
cnf(i_0_2482,plain,
( X1 = X2
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1407]),
[final] ).
cnf(i_0_2483,plain,
( X1 = X2
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X2),X1))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1408]),
[final] ).
cnf(i_0_2484,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1409]),
[final] ).
cnf(i_0_2485,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1410]),
[final] ).
cnf(i_0_2486,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1411]),
[final] ).
cnf(i_0_2487,plain,
( X2 = X1
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1412]),
[final] ).
cnf(i_0_2488,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1413]),
[final] ).
cnf(i_0_2489,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1414]),
[final] ).
cnf(i_0_2490,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1321]),
[final] ).
cnf(i_0_2491,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1415]),
[final] ).
cnf(i_0_2492,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1416]),
[final] ).
cnf(i_0_2493,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1417]),
[final] ).
cnf(i_0_2494,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1418]),
[final] ).
cnf(i_0_2495,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1419]),
[final] ).
cnf(i_0_2496,plain,
( hBOOL(hAPP_nat_bool(X2,X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_nat_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1420]),
[final] ).
cnf(i_0_2497,plain,
( hBOOL(hAPP_nat_bool(X3,X2))
| ~ hBOOL(hAPP_nat_bool(X1,X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_1421]),
[final] ).
cnf(i_0_2498,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_1277]),
[final] ).
cnf(i_0_2499,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1422]),
[final] ).
cnf(i_0_2500,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1290]),
[final] ).
cnf(i_0_2501,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1423]),
[final] ).
cnf(i_0_2502,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1291]),
[final] ).
cnf(i_0_2503,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1424]),
[final] ).
cnf(i_0_2504,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1400]),
[final] ).
cnf(i_0_2505,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1401]),
[final] ).
cnf(i_0_2506,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1292]),
[final] ).
cnf(i_0_2507,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1425]),
[final] ).
cnf(i_0_2508,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1406]),
[final] ).
cnf(i_0_2509,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1293]),
[final] ).
cnf(i_0_2510,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1407]),
[final] ).
cnf(i_0_2511,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1426]),
[final] ).
cnf(i_0_2512,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1294]),
[final] ).
cnf(i_0_2513,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1427]),
[final] ).
cnf(i_0_2514,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1295]),
[final] ).
cnf(i_0_2515,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1428]),
[final] ).
cnf(i_0_2516,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1429]),
[final] ).
cnf(i_0_2517,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1430]),
[final] ).
cnf(i_0_2518,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1410]),
[final] ).
cnf(i_0_2519,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1411]),
[final] ).
cnf(i_0_2520,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1431]),
[final] ).
cnf(i_0_2521,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1417]),
[final] ).
cnf(i_0_2522,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1296]),
[final] ).
cnf(i_0_2523,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1418]),
[final] ).
cnf(i_0_2524,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1432]),
[final] ).
cnf(i_0_2525,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1398]),
[final] ).
cnf(i_0_2526,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1297]),
[final] ).
cnf(i_0_2527,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1399]),
[final] ).
cnf(i_0_2528,plain,
hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,f),pi_fun1555365306t_bool(arrow_583275979e_Prof,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,arrow_912654623le_Lin)))),
inference(split_conjunct,[status(thm)],[fact_71_assms_I1_J]),
[final] ).
cnf(i_0_2529,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk25_2(X1,X2)),arrow_912654623le_Lin))
| X1 = X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1140]),
[final] ).
cnf(i_0_2530,plain,
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),esk84_2(X1,X2)) = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1334]),
[final] ).
cnf(i_0_2531,plain,
( X2 = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),esk55_2(X1,X2))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1433]),
[final] ).
cnf(i_0_2532,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat))) ),
inference(split_conjunct,[status(thm)],[i_0_1434]),
[final] ).
cnf(i_0_2533,plain,
( hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk96_1(X1))))
| hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1435]),
[final] ).
cnf(i_0_2534,plain,
( X1 = hAPP_nat_nat(suc,esk92_2(X2,X1))
| X1 = hAPP_nat_nat(suc,X2)
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1305]),
[final] ).
cnf(i_0_2535,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X1)),X2) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1436]),
[final] ).
cnf(i_0_2536,plain,
hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1))),
inference(rw,[status(thm)],[i_0_1437,c_0_1009]),
[final] ).
cnf(i_0_2537,plain,
hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1))),
inference(rw,[status(thm)],[i_0_1438,c_0_1009]),
[final] ).
cnf(i_0_2538,plain,
( hBOOL(hAPP_nat_bool(X1,esk83_2(X2,X1)))
| hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1187]),
[final] ).
cnf(i_0_2539,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1416]),
[final] ).
cnf(i_0_2540,plain,
( hBOOL(hAPP_nat_bool(X1,esk97_2(X2,X1)))
| hBOOL(hAPP_nat_bool(X1,X2))
| ~ hBOOL(hAPP_nat_bool(X1,zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1163]),
[final] ).
cnf(i_0_2541,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1439]),
[final] ).
cnf(i_0_2542,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1440]),
[final] ).
cnf(i_0_2543,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1441]),
[final] ).
cnf(i_0_2544,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_1356]),
[final] ).
cnf(i_0_2545,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1442]),
[final] ).
cnf(i_0_2546,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1443]),
[final] ).
cnf(i_0_2547,plain,
( X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1444]),
[final] ).
cnf(i_0_2548,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 = X2
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1445]),
[final] ).
cnf(i_0_2549,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1446]),
[final] ).
cnf(i_0_2550,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1447]),
[final] ).
cnf(i_0_2551,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1448]),
[final] ).
cnf(i_0_2552,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1449]),
[final] ).
cnf(i_0_2553,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1355]),
[final] ).
cnf(i_0_2554,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1450]),
[final] ).
cnf(i_0_2555,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1451]),
[final] ).
cnf(i_0_2556,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1353]),
[final] ).
cnf(i_0_2557,plain,
( hBOOL(hAPP_P1813625415t_bool(X2,X1))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1452]),
[final] ).
cnf(i_0_2558,plain,
( hBOOL(hAPP_f1733357041l_bool(X2,X1))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1453]),
[final] ).
cnf(i_0_2559,plain,
( hBOOL(hAPP_f446648900l_bool(X2,X1))
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1454]),
[final] ).
cnf(i_0_2560,plain,
( hBOOL(hAPP_f1378099862l_bool(X2,X1))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1455]),
[final] ).
cnf(i_0_2561,plain,
( hBOOL(hAPP_P1676879539t_bool(X2,X1))
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1456]),
[final] ).
cnf(i_0_2562,plain,
( hBOOL(hAPP_nat_bool(X2,X1))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1457]),
[final] ).
cnf(i_0_2563,plain,
( hBOOL(hAPP_bool_bool(X2,X1))
| ~ hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1458]),
[final] ).
cnf(i_0_2564,plain,
( hBOOL(hAPP_A416869060i_bool(X2,X1))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1459]),
[final] ).
cnf(i_0_2565,plain,
( X1 = X2
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X4)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1460]),
[final] ).
cnf(i_0_2566,plain,
( X1 = X2
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X4)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2567,plain,
( X1 = X2
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1460]),
[final] ).
cnf(i_0_2568,plain,
( X1 = X2
| hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1) != hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X2)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1461]),
[final] ).
cnf(i_0_2569,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(suc,X2)) = hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)),
inference(split_conjunct,[status(thm)],[i_0_1462]),
[final] ).
cnf(i_0_2570,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))
| X1 != hAPP_nat_nat(suc,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1288]),
[final] ).
cnf(i_0_2571,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,X1)),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),hAPP_nat_nat(suc,X2)),
inference(split_conjunct,[status(thm)],[i_0_1463]),
[final] ).
cnf(i_0_2572,plain,
( hBOOL(hAPP_nat_bool(X1,zero_zero_nat))
| ~ hBOOL(hAPP_nat_bool(X1,esk96_1(X1)))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1435]),
[final] ).
cnf(i_0_2573,plain,
( X1 != X2
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1372]),
[final] ).
cnf(i_0_2574,plain,
( X1 != X2
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1378]),
[final] ).
cnf(i_0_2575,plain,
( X1 != X2
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1381]),
[final] ).
cnf(i_0_2576,plain,
( X1 != X2
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1387]),
[final] ).
cnf(i_0_2577,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))
| X1 != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X3) ),
inference(split_conjunct,[status(thm)],[i_0_1433]),
[final] ).
cnf(i_0_2578,plain,
is_fun20916972t_bool(undefi541132219t_bool(fun(product_prod(arrow_1486210539le_alt,arrow_1486210539le_alt),bool))),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____wy]),
[final] ).
cnf(i_0_2579,plain,
( ~ hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1399]),
[final] ).
cnf(i_0_2580,plain,
( hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X2),hAPP_A1895296483di_nat(X2,X1)) = X1
| ~ is_Arr859726945e_indi(X1)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),top_to207207712i_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1464]),
[final] ).
cnf(i_0_2581,plain,
( is_bool(in_rel1361124802le_alt(X1,X2,X3))
| ~ is_fun20916972t_bool(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3) ),
inference(split_conjunct,[status(thm)],[i_0_1465]),
[final] ).
cnf(i_0_2582,plain,
( is_fun20916972t_bool(arrow_207701375_below(X1,X2,X3))
| ~ is_fun20916972t_bool(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3) ),
inference(split_conjunct,[status(thm)],[i_0_1466]),
[final] ).
cnf(i_0_2583,plain,
( hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X2),X3) = X1
| ~ is_Arr859726945e_indi(X1)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),top_to207207712i_bool))
| hAPP_A1895296483di_nat(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_1467]),
[final] ).
cnf(i_0_2584,plain,
( X1 = hAPP_nat_nat(suc,esk90_1(X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1468]),
[final] ).
cnf(i_0_2585,plain,
( X1 = hAPP_nat_nat(suc,esk86_1(X1))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1469]),
[final] ).
cnf(i_0_2586,plain,
( hBOOL(X1)
| hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1399]),
[final] ).
cnf(i_0_2587,plain,
( ~ hBOOL(X1)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1470]),
[final] ).
cnf(i_0_2588,plain,
( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),hAPP_nat_nat(X1,X2)) = X2
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1471]),
[final] ).
cnf(i_0_2589,plain,
hAPP_A1906804694t_bool(hAPP_f1898540574t_bool(hAPP_f1283354413t_bool(cOMBC_1373788917t_bool,X1),X2),X3) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1472]),
[final] ).
cnf(i_0_2590,plain,
hAPP_A1781286015t_bool(hAPP_f1840820673t_bool(hAPP_f775987425t_bool(cOMBC_441619036t_bool,X1),X2),X3) = hAPP_f1068593625t_bool(hAPP_A64811457t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1473]),
[final] ).
cnf(i_0_2591,plain,
hAPP_A85603248t_bool(hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,X1),X2),X3) = hAPP_A28770973t_bool(hAPP_A1202525278t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1474]),
[final] ).
cnf(i_0_2592,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,X1),X2),X3) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1475]),
[final] ).
cnf(i_0_2593,plain,
hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X1),X2),X3) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1476]),
[final] ).
cnf(i_0_2594,plain,
hAPP_f1733357041l_bool(hAPP_f574392641l_bool(hAPP_f1692576003l_bool(cOMBC_344067350l_bool,X1),X2),X3) = hAPP_f560517119l_bool(hAPP_f1332197581l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1477]),
[final] ).
cnf(i_0_2595,plain,
hAPP_f446648900l_bool(hAPP_f1028172757l_bool(hAPP_f863441901l_bool(cOMBC_1528317666l_bool,X1),X2),X3) = hAPP_f322109294l_bool(hAPP_f881677315l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1478]),
[final] ).
cnf(i_0_2596,plain,
hAPP_f1378099862l_bool(hAPP_f189058133l_bool(hAPP_f1500902601l_bool(cOMBC_1722249314l_bool,X1),X2),X3) = hAPP_f147218624l_bool(hAPP_f621397159l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1479]),
[final] ).
cnf(i_0_2597,plain,
hAPP_P1676879539t_bool(hAPP_f427533077t_bool(hAPP_f1458726223t_bool(cOMBC_2133163426l_bool,X1),X2),X3) = hAPP_f2028818269l_bool(hAPP_P607165281l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1480]),
[final] ).
cnf(i_0_2598,plain,
hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,X1),X2),X3) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1481]),
[final] ).
cnf(i_0_2599,plain,
hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,X1),X2),X3) = hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1482]),
[final] ).
cnf(i_0_2600,plain,
hAPP_bool_bool(hAPP_f961197973l_bool(hAPP_f1996228283l_bool(cOMBC_1455277858l_bool,X1),X2),X3) = hAPP_f387058535l_bool(hAPP_b1787118453l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1483]),
[final] ).
cnf(i_0_2601,plain,
hAPP_A340536322t_bool(hAPP_f590186314t_bool(hAPP_f1975142533t_bool(cOMBC_1894996001t_bool,X1),X2),X3) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1484]),
[final] ).
cnf(i_0_2602,plain,
hAPP_A340536322t_bool(hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,X1),X2),X3) = hAPP_A1014090479t_bool(hAPP_A85603248t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1485]),
[final] ).
cnf(i_0_2603,plain,
hAPP_A416869060i_bool(hAPP_f1282033109i_bool(hAPP_f651290349i_bool(cOMBC_264525026l_bool,X1),X2),X3) = hAPP_f160177134l_bool(hAPP_A45661955l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1486]),
[final] ).
cnf(i_0_2604,plain,
hAPP_A416869060i_bool(hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,X1),X2),X3) = hAPP_nat_bool(hAPP_A1948275303t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1487]),
[final] ).
cnf(i_0_2605,plain,
hAPP_A1120018583t_bool(hAPP_f1068593625t_bool(hAPP_f372913425t_bool(cOMBC_943734388l_bool,X1),X2),X3) = hAPP_f1733357041l_bool(hAPP_A433435097l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_1488]),
[final] ).
cnf(i_0_2606,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1301]),
[final] ).
cnf(i_0_2607,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk15_1(X1)),arrow_583275979e_Prof))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1001]),
[final] ).
cnf(i_0_2608,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk11_1(X1)),arrow_583275979e_Prof))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_2609,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,esk10_1(X1)),arrow_583275979e_Prof))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_2610,plain,
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool))
| X1 != top_to1773227171t_bool
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1489]),
[final] ).
cnf(i_0_2611,plain,
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool))
| X1 != top_to846262053l_bool
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1490]),
[final] ).
cnf(i_0_2612,plain,
( ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool))
| X1 != top_to1849101472l_bool
| ~ is_fun292781289l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1491]),
[final] ).
cnf(i_0_2613,plain,
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool))
| X1 != top_to935749874l_bool
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1492]),
[final] ).
cnf(i_0_2614,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool))
| X1 != top_to1257323279t_bool
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1493]),
[final] ).
cnf(i_0_2615,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool))
| X1 != top_to207207712i_bool
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1494]),
[final] ).
cnf(i_0_2616,plain,
( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),X3) = X2
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
| hAPP_nat_nat(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_1495]),
[final] ).
cnf(i_0_2617,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1150]),
[final] ).
cnf(i_0_2618,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1496]),
[final] ).
cnf(i_0_2619,plain,
( hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1497]),
[final] ).
cnf(i_0_2620,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X2),X1))
| ~ hBOOL(hAPP_P1813625415t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1452]),
[final] ).
cnf(i_0_2621,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),X1))
| ~ hBOOL(hAPP_f1733357041l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1453]),
[final] ).
cnf(i_0_2622,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X2),X1))
| ~ hBOOL(hAPP_f446648900l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1454]),
[final] ).
cnf(i_0_2623,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X2),X1))
| ~ hBOOL(hAPP_f1378099862l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1455]),
[final] ).
cnf(i_0_2624,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X2),X1))
| ~ hBOOL(hAPP_P1676879539t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1456]),
[final] ).
cnf(i_0_2625,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1))
| ~ hBOOL(hAPP_nat_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1457]),
[final] ).
cnf(i_0_2626,plain,
( hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X2),X1))
| ~ hBOOL(hAPP_bool_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1458]),
[final] ).
cnf(i_0_2627,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X1))
| ~ hBOOL(hAPP_A416869060i_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1459]),
[final] ).
cnf(i_0_2628,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1498]),
[final] ).
cnf(i_0_2629,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1499]),
[final] ).
cnf(i_0_2630,plain,
( ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1500]),
[final] ).
cnf(i_0_2631,plain,
( X1 != X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1401]),
[final] ).
cnf(i_0_2632,plain,
( X1 != X2
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1407]),
[final] ).
cnf(i_0_2633,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1501]),
[final] ).
cnf(i_0_2634,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1502]),
[final] ).
cnf(i_0_2635,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1503]),
[final] ).
cnf(i_0_2636,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1504]),
[final] ).
cnf(i_0_2637,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1505]),
[final] ).
cnf(i_0_2638,plain,
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1506]),
[final] ).
cnf(i_0_2639,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1411]),
[final] ).
cnf(i_0_2640,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1507]),
[final] ).
cnf(i_0_2641,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1508]),
[final] ).
cnf(i_0_2642,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1440]),
[final] ).
cnf(i_0_2643,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1440]),
[final] ).
cnf(i_0_2644,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1418]),
[final] ).
cnf(i_0_2645,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1441]),
[final] ).
cnf(i_0_2646,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1441]),
[final] ).
cnf(i_0_2647,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1356]),
[final] ).
cnf(i_0_2648,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1509]),
[final] ).
cnf(i_0_2649,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1510]),
[final] ).
cnf(i_0_2650,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1511]),
[final] ).
cnf(i_0_2651,plain,
( X1 = X2
| ~ is_Arr859726945e_indi(X1)
| ~ is_Arr859726945e_indi(X2)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),top_to207207712i_bool))
| hAPP_A1895296483di_nat(X3,X1) != hAPP_A1895296483di_nat(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1512]),
[final] ).
cnf(i_0_2652,plain,
( X2 = X3
| hAPP_A1895296483di_nat(X1,X2) != hAPP_A1895296483di_nat(X1,X3)
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
| ~ is_Arr859726945e_indi(X2)
| ~ is_Arr859726945e_indi(X3) ),
inference(split_conjunct,[status(thm)],[i_0_1513]),
[final] ).
cnf(i_0_2653,plain,
( hAPP_nat_nat(X1,esk70_2(X1,X2)) = hAPP_nat_nat(X1,esk71_2(X1,X2))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1365]),
[final] ).
cnf(i_0_2654,plain,
( hAPP_nat_nat(X1,esk29_2(X1,X2)) = hAPP_nat_nat(X1,esk30_2(X1,X2))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1167]),
[final] ).
cnf(i_0_2655,plain,
( hAPP_A1895296483di_nat(X1,esk72_2(X1,X2)) = hAPP_A1895296483di_nat(X1,esk73_2(X1,X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1366]),
[final] ).
cnf(i_0_2656,plain,
( hAPP_A1895296483di_nat(X1,esk31_2(X1,X2)) = hAPP_A1895296483di_nat(X1,esk32_2(X1,X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1154]),
[final] ).
cnf(i_0_2657,plain,
( hBOOL(X1)
| hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1470]),
[final] ).
cnf(i_0_2658,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1514]),
[final] ).
cnf(i_0_2659,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1515]),
[final] ).
cnf(i_0_2660,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X1))),
inference(split_conjunct,[status(thm)],[i_0_1516]),
[final] ).
cnf(i_0_2661,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1517]),
[final] ).
cnf(i_0_2662,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1518]),
[final] ).
cnf(i_0_2663,plain,
~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1519]),
[final] ).
cnf(i_0_2664,plain,
~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1520]),
[final] ).
cnf(i_0_2665,plain,
~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1521]),
[final] ).
cnf(i_0_2666,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1522]),
[final] ).
cnf(i_0_2667,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1523]),
[final] ).
cnf(i_0_2668,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1524]),
[final] ).
cnf(i_0_2669,plain,
( hBOOL(X1)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1517]),
[final] ).
cnf(i_0_2670,plain,
( hBOOL(X1)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1518]),
[final] ).
cnf(i_0_2671,plain,
( X1 = top_to1773227171t_bool
| ~ is_fun20916972t_bool(X1)
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1525]),
[final] ).
cnf(i_0_2672,plain,
( X1 = top_to1773227171t_bool
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1526]),
[final] ).
cnf(i_0_2673,plain,
( X1 = top_to846262053l_bool
| ~ is_fun1420103068l_bool(X1)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1527]),
[final] ).
cnf(i_0_2674,plain,
( X1 = top_to846262053l_bool
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1528]),
[final] ).
cnf(i_0_2675,plain,
( X1 = top_to1849101472l_bool
| ~ is_fun292781289l_bool(X1)
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1529]),
[final] ).
cnf(i_0_2676,plain,
( X1 = top_to1849101472l_bool
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
| ~ is_fun292781289l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1530]),
[final] ).
cnf(i_0_2677,plain,
( X1 = top_to935749874l_bool
| ~ is_fun701126715l_bool(X1)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1531]),
[final] ).
cnf(i_0_2678,plain,
( X1 = top_to935749874l_bool
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1532]),
[final] ).
cnf(i_0_2679,plain,
( X1 = top_to1257323279t_bool
| ~ is_fun1568535512t_bool(X1)
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1533]),
[final] ).
cnf(i_0_2680,plain,
( X1 = top_to1257323279t_bool
| ~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1534]),
[final] ).
cnf(i_0_2681,plain,
( X1 = top_to207207712i_bool
| ~ is_fun2015243113i_bool(X1)
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1535]),
[final] ).
cnf(i_0_2682,plain,
( X1 = top_to207207712i_bool
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1536]),
[final] ).
cnf(i_0_2683,plain,
( X1 = X3
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_1537]),
[final] ).
cnf(i_0_2684,plain,
( X1 = X3
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_1538]),
[final] ).
cnf(i_0_2685,plain,
( X1 = X3
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_1539]),
[final] ).
cnf(i_0_2686,plain,
( X2 = X3
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_1540]),
[final] ).
cnf(i_0_2687,plain,
( X2 = X3
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_1541]),
[final] ).
cnf(i_0_2688,plain,
( X2 = X3
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_1542]),
[final] ).
cnf(i_0_2689,plain,
( X2 = X3
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X3) ),
inference(split_conjunct,[status(thm)],[i_0_1543]),
[final] ).
cnf(i_0_2690,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,zero_zero_nat)))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1434]),
[final] ).
cnf(i_0_2691,plain,
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool))
| X1 != top_top_fun_nat_bool ),
inference(split_conjunct,[status(thm)],[i_0_1544]),
[final] ).
cnf(i_0_2692,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)) ),
inference(split_conjunct,[status(thm)],[i_0_1545]),
[final] ).
cnf(i_0_2693,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1))),
inference(split_conjunct,[status(thm)],[i_0_1546]),
[final] ).
cnf(i_0_2694,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[i_0_1547]),
[final] ).
cnf(i_0_2695,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[i_0_1548]),
[final] ).
cnf(i_0_2696,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[i_0_1549]),
[final] ).
cnf(i_0_2697,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1550]),
[final] ).
cnf(i_0_2698,plain,
( X1 = top_top_fun_nat_bool
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1551]),
[final] ).
cnf(i_0_2699,plain,
( X1 = top_top_fun_nat_bool
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1552]),
[final] ).
cnf(i_0_2700,plain,
~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_1553]),
[final] ).
cnf(i_0_2701,plain,
~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_1554]),
[final] ).
cnf(i_0_2702,plain,
~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_1555]),
[final] ).
cnf(i_0_2703,plain,
~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_1556]),
[final] ).
cnf(i_0_2704,plain,
~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,top_to1257323279t_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_1557]),
[final] ).
cnf(i_0_2705,plain,
~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,top_top_fun_nat_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_1558]),
[final] ).
cnf(i_0_2706,plain,
~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,top_to207207712i_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_1559]),
[final] ).
cnf(i_0_2707,plain,
~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_1560]),
[final] ).
cnf(i_0_2708,plain,
( X2 = X3
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
| hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_1561]),
[final] ).
cnf(i_0_2709,plain,
( X2 = X3
| hAPP_nat_nat(X1,X2) != hAPP_nat_nat(X1,X3)
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1562]),
[final] ).
cnf(i_0_2710,plain,
( is_Arr859726945e_indi(esk49_2(X1,X2))
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1162]),
[final] ).
cnf(i_0_2711,plain,
( is_bool(esk47_2(X1,X2))
| hBOOL(hAPP_f387058535l_bool(hAPP_f612708895l_bool(ord_le742797417l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1161]),
[final] ).
cnf(i_0_2712,plain,
( is_fun20916972t_bool(esk51_2(X1,X2))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1156]),
[final] ).
cnf(i_0_2713,plain,
hAPP_A1906804694t_bool(cOMBS_995062533t_bool(X1,X2),X3) = hAPP_f1000663785t_bool(hAPP_A725195434t_bool(X1,X3),hAPP_A340536322t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1563]),
[final] ).
cnf(i_0_2714,plain,
hAPP_nat_bool(cOMBS_nat_bool_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_n1006566506l_bool(X1,X3),hAPP_nat_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1564]),
[final] ).
cnf(i_0_2715,plain,
hAPP_A340536322t_bool(cOMBS_178315313t_bool(X1,X2),X3) = hAPP_f137597973t_bool(hAPP_A1906804694t_bool(X1,X3),hAPP_A340536322t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1565]),
[final] ).
cnf(i_0_2716,plain,
hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(X1),X2))),
inference(split_conjunct,[status(thm)],[i_0_1566]),
[final] ).
cnf(i_0_2717,plain,
( X1 = hAPP_nat_nat(suc,zero_zero_nat)
| X2 = hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) != hAPP_nat_nat(suc,zero_zero_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2718,plain,
( X1 = hAPP_nat_nat(suc,zero_zero_nat)
| X2 = hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_1568]),
[final] ).
cnf(i_0_2719,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| X1 != X2
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1371]),
[final] ).
cnf(i_0_2720,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X2))
| X1 != X2
| ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1377]),
[final] ).
cnf(i_0_2721,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| X1 != X2
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1380]),
[final] ).
cnf(i_0_2722,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X2))
| X1 != X2
| ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1386]),
[final] ).
cnf(i_0_2723,plain,
hAPP_A725195434t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(X1),X2),X3) = hAPP_b910261233t_bool(X1,hAPP_A416869060i_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1569]),
[final] ).
cnf(i_0_2724,plain,
hAPP_A643475905l_bool(hAPP_f1747206697l_bool(cOMBB_885534287le_alt(X1),X2),X3) = hAPP_f1656652505l_bool(X1,hAPP_A1171966089le_alt(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1570]),
[final] ).
cnf(i_0_2725,plain,
hAPP_A1202525278t_bool(hAPP_f1044120523t_bool(cOMBB_930893948e_indi(X1),X2),X3) = hAPP_f684072049t_bool(X1,hAPP_A340536322t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1571]),
[final] ).
cnf(i_0_2726,plain,
hAPP_A64811457t_bool(hAPP_f1092358369t_bool(cOMBB_333235735le_alt(X1),X2),X3) = hAPP_f372913425t_bool(X1,hAPP_A643475905l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1572]),
[final] ).
cnf(i_0_2727,plain,
hAPP_A85603248t_bool(hAPP_f2027600413t_bool(cOMBB_640263118e_indi(X1),X2),X3) = hAPP_f102394819t_bool(X1,hAPP_A340536322t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1573]),
[final] ).
cnf(i_0_2728,plain,
hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(cOMBB_1015721476ol_nat(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_nat_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1574]),
[final] ).
cnf(i_0_2729,plain,
hAPP_A1948275303t_bool(hAPP_f1882280879t_bool(cOMBB_552200224e_indi(X1),X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_A1895296483di_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1575]),
[final] ).
cnf(i_0_2730,plain,
hAPP_n215258509l_bool(hAPP_f66927821l_bool(cOMBB_1146692694ol_nat(X1),X2),X3) = hAPP_n215258509l_bool(X1,hAPP_nat_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1576]),
[final] ).
cnf(i_0_2731,plain,
hAPP_n1699378549t_bool(hAPP_f618557131t_bool(cOMBB_800536526ol_nat(X1),X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_nat_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1577]),
[final] ).
cnf(i_0_2732,plain,
hAPP_A433435097l_bool(hAPP_f1656652505l_bool(cOMBB_711698847le_alt(X1),X2),X3) = hAPP_P1151433609l_bool(X1,hAPP_A1561816353le_alt(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_1578]),
[final] ).
cnf(i_0_2733,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))
| X1 != hAPP_nat_nat(suc,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1469]),
[final] ).
cnf(i_0_2734,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1579]),
[final] ).
cnf(i_0_2735,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1398]),
[final] ).
cnf(i_0_2736,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1312]),
[final] ).
cnf(i_0_2737,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1312]),
[final] ).
cnf(i_0_2738,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1580]),
[final] ).
cnf(i_0_2739,plain,
( X1 = zero_zero_nat
| X1 = hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2740,plain,
( X1 = hAPP_nat_nat(suc,zero_zero_nat)
| X1 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) != hAPP_nat_nat(suc,zero_zero_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2741,plain,
( X1 = zero_zero_nat
| X1 = hAPP_nat_nat(suc,zero_zero_nat)
| hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_1568]),
[final] ).
cnf(i_0_2742,plain,
( X1 = hAPP_nat_nat(suc,zero_zero_nat)
| X1 = zero_zero_nat
| hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_1568]),
[final] ).
cnf(i_0_2743,plain,
( hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fTrue),X1),X2) = X1
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1581]),
[final] ).
cnf(i_0_2744,plain,
( hAPP_f137597973t_bool(hAPP_f1000663785t_bool(hAPP_b910261233t_bool(if_fun1158274329t_bool,fFalse),X2),X1) = X1
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1582]),
[final] ).
cnf(i_0_2745,plain,
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| esk70_2(X1,X2) != esk71_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1365]),
[final] ).
cnf(i_0_2746,plain,
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),X2))
| esk29_2(X1,X2) != esk30_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1167]),
[final] ).
cnf(i_0_2747,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
| esk72_2(X1,X2) != esk73_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1366]),
[final] ).
cnf(i_0_2748,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2))
| esk31_2(X1,X2) != esk32_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1154]),
[final] ).
cnf(i_0_2749,plain,
( hBOOL(X1)
| hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1398]),
[final] ).
cnf(i_0_2750,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| hBOOL(X1)
| hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1312]),
[final] ).
cnf(i_0_2751,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))
| hBOOL(X2)
| hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1312]),
[final] ).
cnf(i_0_2752,plain,
( hBOOL(X1)
| hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1580]),
[final] ).
cnf(i_0_2753,plain,
( hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1470]),
[final] ).
cnf(i_0_2754,plain,
( hBOOL(X1)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1),top_top_bool))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1470]),
[final] ).
cnf(i_0_2755,plain,
finite_card_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),X1)) = hAPP_nat_nat(suc,X1),
inference(rw,[status(thm)],[i_0_1583,c_0_1009]),
[final] ).
cnf(i_0_2756,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1))
| ~ hBOOL(X1)
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1518]),
[final] ).
cnf(i_0_2757,plain,
( X1 = top_to1773227171t_bool
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,X1),top_to1773227171t_bool))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1489]),
[final] ).
cnf(i_0_2758,plain,
( X1 = top_to846262053l_bool
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,X1),top_to846262053l_bool))
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1490]),
[final] ).
cnf(i_0_2759,plain,
( X1 = top_to1849101472l_bool
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,X1),top_to1849101472l_bool))
| ~ is_fun292781289l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1491]),
[final] ).
cnf(i_0_2760,plain,
( X1 = top_to935749874l_bool
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,X1),top_to935749874l_bool))
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1492]),
[final] ).
cnf(i_0_2761,plain,
( X1 = top_to1257323279t_bool
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),top_to1257323279t_bool))
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1493]),
[final] ).
cnf(i_0_2762,plain,
( X1 = top_to207207712i_bool
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),top_to207207712i_bool))
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1494]),
[final] ).
cnf(i_0_2763,plain,
( hAPP_nat_nat(X1,esk39_1(X1)) = hAPP_nat_nat(X1,esk40_1(X1))
| hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1584]),
[final] ).
cnf(i_0_2764,plain,
( hAPP_A1895296483di_nat(X1,esk41_1(X1)) = hAPP_A1895296483di_nat(X1,esk42_1(X1))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1585]),
[final] ).
cnf(i_0_2765,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1323]),
[final] ).
cnf(i_0_2766,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1323]),
[final] ).
cnf(i_0_2767,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1586]),
[final] ).
cnf(i_0_2768,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1587]),
[final] ).
cnf(i_0_2769,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1587]),
[final] ).
cnf(i_0_2770,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1400]),
[final] ).
cnf(i_0_2771,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1406]),
[final] ).
cnf(i_0_2772,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1325]),
[final] ).
cnf(i_0_2773,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1325]),
[final] ).
cnf(i_0_2774,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1588]),
[final] ).
cnf(i_0_2775,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1589]),
[final] ).
cnf(i_0_2776,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1429]),
[final] ).
cnf(i_0_2777,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1410]),
[final] ).
cnf(i_0_2778,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1590]),
[final] ).
cnf(i_0_2779,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1417]),
[final] ).
cnf(i_0_2780,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1330]),
[final] ).
cnf(i_0_2781,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1330]),
[final] ).
cnf(i_0_2782,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1591]),
[final] ).
cnf(i_0_2783,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_1592]),
[final] ).
cnf(i_0_2784,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),X1))
| X1 != top_to1773227171t_bool
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1526]),
[final] ).
cnf(i_0_2785,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),X1))
| X1 != top_to846262053l_bool
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1528]),
[final] ).
cnf(i_0_2786,plain,
( hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),X1))
| X1 != top_to1849101472l_bool
| ~ is_fun292781289l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1530]),
[final] ).
cnf(i_0_2787,plain,
( hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),X1))
| X1 != top_to935749874l_bool
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1532]),
[final] ).
cnf(i_0_2788,plain,
( hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),X1))
| X1 != top_to1257323279t_bool
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1534]),
[final] ).
cnf(i_0_2789,plain,
( hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),X1))
| X1 != top_to207207712i_bool
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1536]),
[final] ).
cnf(i_0_2790,plain,
( X1 = zero_zero_nat
| X2 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != hAPP_nat_nat(suc,zero_zero_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2791,plain,
( X1 = zero_zero_nat
| X2 = zero_zero_nat
| hAPP_nat_nat(suc,zero_zero_nat) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_1568]),
[final] ).
cnf(i_0_2792,plain,
( hBOOL(X1)
| hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,top_top_bool),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1518]),
[final] ).
cnf(i_0_2793,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk27_0),finite354462354e_indi(top_to207207712i_bool))),
inference(split_conjunct,[status(thm)],[i_0_992]),
[final] ).
cnf(i_0_2794,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk26_0),finite354462354e_indi(top_to207207712i_bool))),
inference(split_conjunct,[status(thm)],[i_0_993]),
[final] ).
cnf(i_0_2795,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite354462354e_indi(top_to207207712i_bool))),
inference(split_conjunct,[status(thm)],[fact_19_n_I1_J]),
[final] ).
cnf(i_0_2796,plain,
hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1593]),
[final] ).
cnf(i_0_2797,plain,
hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1594]),
[final] ).
cnf(i_0_2798,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1595]),
[final] ).
cnf(i_0_2799,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1596]),
[final] ).
cnf(i_0_2800,plain,
hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_1597]),
[final] ).
cnf(i_0_2801,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))
| X1 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1545]),
[final] ).
cnf(i_0_2802,plain,
( X1 = top_top_fun_nat_bool
| hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),top_top_fun_nat_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1544]),
[final] ).
cnf(i_0_2803,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_1598]),
[final] ).
cnf(i_0_2804,plain,
( is_Arr859726945e_indi(esk73_2(X1,X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1366]),
[final] ).
cnf(i_0_2805,plain,
( is_Arr859726945e_indi(esk72_2(X1,X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1366]),
[final] ).
cnf(i_0_2806,plain,
( is_Arr859726945e_indi(esk32_2(X1,X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1154]),
[final] ).
cnf(i_0_2807,plain,
( is_Arr859726945e_indi(esk31_2(X1,X2))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1154]),
[final] ).
cnf(i_0_2808,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),top_to1773227171t_bool)),
inference(split_conjunct,[status(thm)],[i_0_1599]),
[final] ).
cnf(i_0_2809,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,X1),top_to1773227171t_bool)),
inference(split_conjunct,[status(thm)],[i_0_1600]),
[final] ).
cnf(i_0_2810,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),top_to1773227171t_bool)),
inference(split_conjunct,[status(thm)],[i_0_1601]),
[final] ).
cnf(i_0_2811,plain,
hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,X1),top_to1773227171t_bool)),
inference(split_conjunct,[status(thm)],[i_0_1602]),
[final] ).
cnf(i_0_2812,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),top_to846262053l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1603]),
[final] ).
cnf(i_0_2813,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,X1),top_to846262053l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1604]),
[final] ).
cnf(i_0_2814,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),top_to846262053l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1605]),
[final] ).
cnf(i_0_2815,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),top_to846262053l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1606]),
[final] ).
cnf(i_0_2816,plain,
hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),top_to1849101472l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1607]),
[final] ).
cnf(i_0_2817,plain,
hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,X1),top_to1849101472l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1608]),
[final] ).
cnf(i_0_2818,plain,
hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),top_to1849101472l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1609]),
[final] ).
cnf(i_0_2819,plain,
hBOOL(hAPP_f322109294l_bool(hAPP_f881677315l_bool(member1619170513t_bool,X1),top_to1849101472l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1610]),
[final] ).
cnf(i_0_2820,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),top_to935749874l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1611]),
[final] ).
cnf(i_0_2821,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,X1),top_to935749874l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1612]),
[final] ).
cnf(i_0_2822,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),top_to935749874l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1613]),
[final] ).
cnf(i_0_2823,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),top_to935749874l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1614]),
[final] ).
cnf(i_0_2824,plain,
hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),top_to1257323279t_bool)),
inference(split_conjunct,[status(thm)],[i_0_1615]),
[final] ).
cnf(i_0_2825,plain,
hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),top_to1257323279t_bool)),
inference(split_conjunct,[status(thm)],[i_0_1616]),
[final] ).
cnf(i_0_2826,plain,
hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),top_to1257323279t_bool)),
inference(split_conjunct,[status(thm)],[i_0_1617]),
[final] ).
cnf(i_0_2827,plain,
hBOOL(hAPP_f2028818269l_bool(hAPP_P607165281l_bool(member_Product_unit,X1),top_to1257323279t_bool)),
inference(split_conjunct,[status(thm)],[i_0_1618]),
[final] ).
cnf(i_0_2828,plain,
hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),top_top_fun_nat_bool)),
inference(split_conjunct,[status(thm)],[i_0_1619]),
[final] ).
cnf(i_0_2829,plain,
hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),top_top_fun_nat_bool)),
inference(split_conjunct,[status(thm)],[i_0_1620]),
[final] ).
cnf(i_0_2830,plain,
hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),top_top_fun_nat_bool)),
inference(split_conjunct,[status(thm)],[i_0_1621]),
[final] ).
cnf(i_0_2831,plain,
hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),top_top_fun_nat_bool)),
inference(split_conjunct,[status(thm)],[i_0_1622]),
[final] ).
cnf(i_0_2832,plain,
hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),top_to1647826457l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1623]),
[final] ).
cnf(i_0_2833,plain,
hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,X1),top_to1647826457l_bool)),
inference(split_conjunct,[status(thm)],[i_0_1624]),
[final] ).
cnf(i_0_2834,plain,
hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[i_0_1625]),
[final] ).
cnf(i_0_2835,plain,
hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[i_0_1626]),
[final] ).
cnf(i_0_2836,plain,
hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[i_0_1627]),
[final] ).
cnf(i_0_2837,plain,
hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[i_0_1628]),
[final] ).
cnf(i_0_2838,plain,
hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),top_top_bool)),
inference(split_conjunct,[status(thm)],[i_0_1629]),
[final] ).
cnf(i_0_2839,plain,
( hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,top_top_fun_nat_bool),X1))
| X1 != top_top_fun_nat_bool ),
inference(split_conjunct,[status(thm)],[i_0_1552]),
[final] ).
cnf(i_0_2840,plain,
( X1 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1550]),
[final] ).
cnf(i_0_2841,plain,
( X1 = zero_zero_nat
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1630]),
[final] ).
cnf(i_0_2842,plain,
finite_card_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X1)) = X1,
inference(rw,[status(thm)],[i_0_1631,c_0_1009]),
[final] ).
cnf(i_0_2843,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(split_conjunct,[status(thm)],[i_0_1632]),
[final] ).
cnf(i_0_2844,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)),
inference(split_conjunct,[status(thm)],[i_0_1633]),
[final] ).
cnf(i_0_2845,plain,
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
| X1 != zero_zero_nat
| X2 != hAPP_nat_nat(suc,zero_zero_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2846,plain,
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = hAPP_nat_nat(suc,zero_zero_nat)
| X1 != hAPP_nat_nat(suc,zero_zero_nat)
| X2 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1567]),
[final] ).
cnf(i_0_2847,plain,
( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)
| X1 != zero_zero_nat
| X2 != hAPP_nat_nat(suc,zero_zero_nat) ),
inference(split_conjunct,[status(thm)],[i_0_1568]),
[final] ).
cnf(i_0_2848,plain,
( hAPP_nat_nat(suc,zero_zero_nat) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)
| X1 != hAPP_nat_nat(suc,zero_zero_nat)
| X2 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1568]),
[final] ).
cnf(i_0_2849,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk63_0),arrow_912654623le_Lin)),
inference(split_conjunct,[status(thm)],[i_0_1634]),
[final] ).
cnf(i_0_2850,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk19_0),arrow_912654623le_Lin)),
inference(split_conjunct,[status(thm)],[i_0_1188]),
[final] ).
cnf(i_0_2851,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk18_0),arrow_912654623le_Lin)),
inference(split_conjunct,[status(thm)],[i_0_1189]),
[final] ).
cnf(i_0_2852,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lba),arrow_912654623le_Lin)),
inference(split_conjunct,[status(thm)],[fact_74__096Lba_A_058_ALin_096]),
[final] ).
cnf(i_0_2853,plain,
hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,lab),arrow_912654623le_Lin)),
inference(split_conjunct,[status(thm)],[fact_73__096Lab_A_058_ALin_096]),
[final] ).
cnf(i_0_2854,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
inference(split_conjunct,[status(thm)],[fact_3__096P_A_058_AProf_096]),
[final] ).
cnf(i_0_2855,plain,
( X2 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_1635]),
[final] ).
cnf(i_0_2856,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1636]),
[final] ).
cnf(i_0_2857,plain,
( X1 = zero_zero_nat
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X2),X1) != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1636]),
[final] ).
cnf(i_0_2858,plain,
( hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool))
| esk39_1(X1) != esk40_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1584]),
[final] ).
cnf(i_0_2859,plain,
( hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool))
| esk41_1(X1) != esk42_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1585]),
[final] ).
cnf(i_0_2860,plain,
( is_Arr859726945e_indi(esk42_1(X1))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1585]),
[final] ).
cnf(i_0_2861,plain,
( is_Arr859726945e_indi(esk41_1(X1))
| hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X1),top_to207207712i_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_1585]),
[final] ).
cnf(i_0_2862,plain,
hAPP_nat_nat(suc,X1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),one_one_nat),
inference(split_conjunct,[status(thm)],[i_0_1637]),
[final] ).
cnf(i_0_2863,plain,
hAPP_n1699378549t_bool(ord_less_nat,X1) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),
inference(split_conjunct,[status(thm)],[i_0_1638]),
[final] ).
cnf(i_0_2864,plain,
( is_Arr723427730le_alt(esk21_2(X1,X2))
| X2 = X1
| ~ is_fun20916972t_bool(X1)
| ~ is_fun20916972t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1005]),
[final] ).
cnf(i_0_2865,plain,
( is_Arr723427730le_alt(esk20_2(X1,X2))
| X2 = X1
| ~ is_fun20916972t_bool(X1)
| ~ is_fun20916972t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1005]),
[final] ).
cnf(i_0_2866,plain,
( is_fun20916972t_bool(esk25_2(X1,X2))
| X1 = X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1140]),
[final] ).
cnf(i_0_2867,plain,
hAPP_nat_nat(suc,X1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),X1),
inference(split_conjunct,[status(thm)],[i_0_1639]),
[final] ).
cnf(i_0_2868,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1640]),
[final] ).
cnf(i_0_2869,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1641]),
[final] ).
cnf(i_0_2870,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1642]),
[final] ).
cnf(i_0_2871,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1643]),
[final] ).
cnf(i_0_2872,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1644]),
[final] ).
cnf(i_0_2873,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1645]),
[final] ).
cnf(i_0_2874,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1646]),
[final] ).
cnf(i_0_2875,plain,
( hAPP_P1813625415t_bool(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1647]),
[final] ).
cnf(i_0_2876,plain,
( hAPP_f1332130404l_bool(hAPP_f23348649l_bool(cOMBK_761999167t_bool,X1),X2) = X1
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1648]),
[final] ).
cnf(i_0_2877,plain,
( hAPP_f431432850i_bool(hAPP_f1077635369i_bool(cOMBK_1399131793t_bool,X1),X2) = X1
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1649]),
[final] ).
cnf(i_0_2878,plain,
( hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1650]),
[final] ).
cnf(i_0_2879,plain,
( hAPP_f446648900l_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1651]),
[final] ).
cnf(i_0_2880,plain,
( hAPP_f1895971544l_bool(hAPP_f633903640l_bool(cOMBK_1918246033t_bool,X1),X2) = X1
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1652]),
[final] ).
cnf(i_0_2881,plain,
( hAPP_f1378099862l_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1653]),
[final] ).
cnf(i_0_2882,plain,
( hAPP_P1676879539t_bool(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1654]),
[final] ).
cnf(i_0_2883,plain,
( hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1655]),
[final] ).
cnf(i_0_2884,plain,
( hAPP_b763490121t_bool(hAPP_f581841297t_bool(cOMBK_1685845624l_bool,X1),X2) = X1
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1656]),
[final] ).
cnf(i_0_2885,plain,
( hAPP_A340536322t_bool(hAPP_f590186314t_bool(cOMBK_776703103e_indi,X1),X2) = X1
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1657]),
[final] ).
cnf(i_0_2886,plain,
( hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X1),X2) = X1
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1658]),
[final] ).
cnf(i_0_2887,plain,
( hAPP_A416869060i_bool(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1659]),
[final] ).
cnf(i_0_2888,hypothesis,
( is_bool(hAPP_f1733357041l_bool(X1,X2))
| ~ is_fun1420103068l_bool(X1)
| ~ is_fun20916972t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1660]),
[final] ).
cnf(i_0_2889,plain,
( is_bool(hAPP_A416869060i_bool(X1,X2))
| ~ is_fun2015243113i_bool(X1)
| ~ is_Arr859726945e_indi(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1661]),
[final] ).
cnf(i_0_2890,plain,
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2) = zero_zero_nat
| X1 != zero_zero_nat
| X2 != zero_zero_nat ),
inference(split_conjunct,[status(thm)],[i_0_1636]),
[final] ).
cnf(i_0_2891,plain,
( X1 = X2
| hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1662]),
[final] ).
cnf(i_0_2892,plain,
( X1 = X2
| hAPP_nat_nat(suc,X1) != hAPP_nat_nat(suc,X2) ),
inference(split_conjunct,[status(thm)],[i_0_1663]),
[final] ).
cnf(i_0_2893,plain,
( is_Arr723427730le_alt(esk8_1(X1))
| hBOOL(hAPP_P1813625415t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1141]),
[final] ).
cnf(i_0_2894,plain,
( is_Arr723427730le_alt(esk7_1(X1))
| hBOOL(hAPP_P1813625415t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_1141]),
[final] ).
cnf(i_0_2895,plain,
~ hBOOL(hAPP_f54304608l_bool(finite_finite_nat,top_top_fun_nat_bool)),
inference(split_conjunct,[status(thm)],[i_0_1664]),
[final] ).
cnf(i_0_2896,plain,
( is_Arr723427730le_alt(esk17_1(X1))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1001]),
[final] ).
cnf(i_0_2897,plain,
( is_Arr723427730le_alt(esk16_1(X1))
| hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1001]),
[final] ).
cnf(i_0_2898,plain,
( is_Arr723427730le_alt(esk13_1(X1))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_2899,plain,
( is_Arr723427730le_alt(esk12_1(X1))
| hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_994]),
[final] ).
cnf(i_0_2900,plain,
hAPP_A1948275303t_bool(hAPP_f1393414918t_bool(cOMBK_1662914336e_indi,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_1665]),
[final] ).
cnf(i_0_2901,plain,
hAPP_P1122857141l_bool(hAPP_f719005683l_bool(cOMBK_1673635960le_alt,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_1666]),
[final] ).
cnf(i_0_2902,plain,
hAPP_n1699378549t_bool(hAPP_f1570313510t_bool(cOMBK_583454926ol_nat,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_1667]),
[final] ).
cnf(i_0_2903,plain,
( is_fun1568535512t_bool(hAPP_f649586561t_bool(X2,X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1668]),
[final] ).
cnf(i_0_2904,plain,
( is_fun1568535512t_bool(hAPP_f427533077t_bool(X2,X1))
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1669]),
[final] ).
cnf(i_0_2905,plain,
( is_fun1568535512t_bool(hAPP_b1096750261t_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1670]),
[final] ).
cnf(i_0_2906,plain,
( is_fun1084921220e_indi(hilber951314860di_nat(X1,X2))
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1671]),
[final] ).
cnf(i_0_2907,plain,
( is_Arr859726945e_indi(hAPP_f1283454584e_indi(X2,X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1672]),
[final] ).
cnf(i_0_2908,plain,
( is_Arr859726945e_indi(hAPP_n619554777e_indi(X1,X2))
| ~ is_fun1084921220e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1673]),
[final] ).
cnf(i_0_2909,plain,
( is_fun2015243113i_bool(hAPP_f431432850i_bool(X2,X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1674]),
[final] ).
cnf(i_0_2910,plain,
( is_fun2015243113i_bool(hAPP_f1282033109i_bool(X2,X1))
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1675]),
[final] ).
cnf(i_0_2911,plain,
( is_fun2015243113i_bool(hAPP_b2116075462i_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1676]),
[final] ).
cnf(i_0_2912,plain,
( is_bool(hAPP_P1813625415t_bool(X1,X2))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1677]),
[final] ).
cnf(i_0_2913,plain,
( is_bool(hAPP_f560517119l_bool(X2,X1))
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1678]),
[final] ).
cnf(i_0_2914,plain,
( is_bool(hAPP_f322109294l_bool(X2,X1))
| ~ is_fun292781289l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1679]),
[final] ).
cnf(i_0_2915,plain,
( is_bool(hAPP_f446648900l_bool(X1,X2))
| ~ is_fun292781289l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1680]),
[final] ).
cnf(i_0_2916,plain,
( is_bool(hAPP_f147218624l_bool(X2,X1))
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1681]),
[final] ).
cnf(i_0_2917,plain,
( is_bool(hAPP_f2028818269l_bool(X2,X1))
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1682]),
[final] ).
cnf(i_0_2918,plain,
( is_bool(hAPP_f1378099862l_bool(X1,X2))
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1683]),
[final] ).
cnf(i_0_2919,plain,
( is_bool(hAPP_f160177134l_bool(X2,X1))
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1684]),
[final] ).
cnf(i_0_2920,plain,
( is_bool(hAPP_P1676879539t_bool(X1,X2))
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1685]),
[final] ).
cnf(i_0_2921,plain,
( is_bool(hAPP_bool_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1686]),
[final] ).
cnf(i_0_2922,plain,
( is_bool(hAPP_A1120018583t_bool(X2,X1))
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1687]),
[final] ).
cnf(i_0_2923,plain,
( is_fun20916972t_bool(hAPP_f137597973t_bool(X2,X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1688]),
[final] ).
cnf(i_0_2924,plain,
( is_fun20916972t_bool(hAPP_b763490121t_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1689]),
[final] ).
cnf(i_0_2925,plain,
( is_fun20916972t_bool(hAPP_A340536322t_bool(X2,X1))
| ~ is_Arr859726945e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1690]),
[final] ).
cnf(i_0_2926,plain,
( is_fun20916972t_bool(hAPP_A1014090479t_bool(X2,X1))
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1691]),
[final] ).
cnf(i_0_2927,plain,
( is_fun701126715l_bool(hAPP_f1332130404l_bool(X2,X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1692]),
[final] ).
cnf(i_0_2928,plain,
( is_fun701126715l_bool(hAPP_f189058133l_bool(X2,X1))
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1693]),
[final] ).
cnf(i_0_2929,plain,
( is_fun701126715l_bool(hAPP_b1461182872l_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1694]),
[final] ).
cnf(i_0_2930,plain,
( is_fun701126715l_bool(hAPP_A701636433l_bool(X2,X1))
| ~ is_Arr859726945e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1695]),
[final] ).
cnf(i_0_2931,plain,
( is_fun701126715l_bool(pi_Arr1801471756t_bool(X1,X2))
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1696]),
[final] ).
cnf(i_0_2932,plain,
( is_fun1420103068l_bool(hAPP_f1344932147l_bool(X2,X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1697]),
[final] ).
cnf(i_0_2933,plain,
( is_fun1420103068l_bool(hAPP_f574392641l_bool(X2,X1))
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1698]),
[final] ).
cnf(i_0_2934,plain,
( is_fun1420103068l_bool(hAPP_b805997823l_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1699]),
[final] ).
cnf(i_0_2935,plain,
( is_fun1420103068l_bool(hAPP_A659996934l_bool(X2,X1))
| ~ is_Arr859726945e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1700]),
[final] ).
cnf(i_0_2936,plain,
( is_fun1420103068l_bool(hAPP_A433435097l_bool(X2,X1))
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1701]),
[final] ).
cnf(i_0_2937,plain,
( is_fun1420103068l_bool(pi_Pro1873779901t_bool(X1,X2))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1702]),
[final] ).
cnf(i_0_2938,plain,
( is_fun292781289l_bool(hAPP_f1028172757l_bool(X2,X1))
| ~ is_fun292781289l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1703]),
[final] ).
cnf(i_0_2939,plain,
( is_fun292781289l_bool(hAPP_b651754310l_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1704]),
[final] ).
cnf(i_0_2940,plain,
( is_fun292781289l_bool(hAPP_A955165183l_bool(X2,X1))
| ~ is_Arr859726945e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1705]),
[final] ).
cnf(i_0_2941,plain,
( is_fun292781289l_bool(pi_fun1555365306t_bool(X1,X2))
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1706]),
[final] ).
cnf(i_0_2942,plain,
hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(suc),X1)),
inference(split_conjunct,[status(thm)],[i_0_1707]),
[final] ).
cnf(i_0_2943,plain,
hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(cOMBI_nat),X1)),
inference(split_conjunct,[status(thm)],[i_0_1708]),
[final] ).
cnf(i_0_2944,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),zero_zero_nat) = X1,
inference(split_conjunct,[status(thm)],[i_0_1709]),
[final] ).
cnf(i_0_2945,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1710]),
[final] ).
cnf(i_0_2946,plain,
pi_Pro1873779901t_bool(X1,hAPP_f719005683l_bool(cOMBK_1673635960le_alt,top_to1647826457l_bool)) = top_to846262053l_bool,
inference(split_conjunct,[status(thm)],[i_0_1711]),
[final] ).
cnf(i_0_2947,plain,
pi_fun1555365306t_bool(X1,hAPP_f633903640l_bool(cOMBK_1918246033t_bool,top_to846262053l_bool)) = top_to1849101472l_bool,
inference(split_conjunct,[status(thm)],[i_0_1712]),
[final] ).
cnf(i_0_2948,plain,
pi_Arr1801471756t_bool(X1,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,top_to846262053l_bool)) = top_to935749874l_bool,
inference(split_conjunct,[status(thm)],[i_0_1713]),
[final] ).
cnf(i_0_2949,plain,
hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(esk98_0),top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[i_0_1714]),
[final] ).
cnf(i_0_2950,plain,
hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(h),top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[fact_20_injh]),
[final] ).
cnf(i_0_2951,plain,
arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
inference(split_conjunct,[status(thm)],[fact_375_Prof__def]),
[final] ).
cnf(i_0_2952,plain,
( hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1640]),
[final] ).
cnf(i_0_2953,plain,
( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1641]),
[final] ).
cnf(i_0_2954,plain,
( hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1642]),
[final] ).
cnf(i_0_2955,plain,
( hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1643]),
[final] ).
cnf(i_0_2956,plain,
( hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1644]),
[final] ).
cnf(i_0_2957,plain,
( hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1645]),
[final] ).
cnf(i_0_2958,plain,
( hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_1646]),
[final] ).
cnf(i_0_2959,plain,
image_837079859di_nat(esk98_0,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[i_0_1714]),
[final] ).
cnf(i_0_2960,plain,
image_837079859di_nat(h,top_to207207712i_bool) = hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),finite354462354e_indi(top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[fact_696_surjh]),
[final] ).
cnf(i_0_2961,plain,
is_fun1568535512t_bool(hAPP_P822772139t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1715]),
[final] ).
cnf(i_0_2962,plain,
is_fun1568535512t_bool(hAPP_f1841347694t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1716]),
[final] ).
cnf(i_0_2963,plain,
is_fun1568535512t_bool(hAPP_f1009478556t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1717]),
[final] ).
cnf(i_0_2964,plain,
is_fun1568535512t_bool(hAPP_n454528608t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1718]),
[final] ).
cnf(i_0_2965,plain,
is_Arr859726945e_indi(hAPP_P1645359566e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1719]),
[final] ).
cnf(i_0_2966,plain,
is_Arr859726945e_indi(hAPP_f2043811403e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1720]),
[final] ).
cnf(i_0_2967,plain,
is_Arr859726945e_indi(hAPP_f350403485e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1721]),
[final] ).
cnf(i_0_2968,plain,
is_fun2015243113i_bool(hAPP_P957402556i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1722]),
[final] ).
cnf(i_0_2969,plain,
is_fun2015243113i_bool(hAPP_f783549695i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1723]),
[final] ).
cnf(i_0_2970,plain,
is_fun2015243113i_bool(hAPP_f1570138413i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1724]),
[final] ).
cnf(i_0_2971,plain,
is_fun2015243113i_bool(hAPP_n1600508401i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1725]),
[final] ).
cnf(i_0_2972,plain,
is_bool(hAPP_f557371893l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1726]),
[final] ).
cnf(i_0_2973,plain,
is_bool(hAPP_f817344902l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1727]),
[final] ).
cnf(i_0_2974,plain,
is_bool(hAPP_f1363425282l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1728]),
[final] ).
cnf(i_0_2975,plain,
is_bool(hAPP_f1384787615l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1729]),
[final] ).
cnf(i_0_2976,plain,
is_bool(hAPP_f560261801l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1730]),
[final] ).
cnf(i_0_2977,plain,
is_bool(hAPP_f1021828400l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1731]),
[final] ).
cnf(i_0_2978,plain,
is_bool(hAPP_f966397426l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1732]),
[final] ).
cnf(i_0_2979,plain,
is_bool(hAPP_f750478076l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1733]),
[final] ).
cnf(i_0_2980,plain,
is_bool(hAPP_f742658307l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1734]),
[final] ).
cnf(i_0_2981,plain,
is_bool(hAPP_f1082951236l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1735]),
[final] ).
cnf(i_0_2982,plain,
is_bool(hAPP_f1138659662l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1736]),
[final] ).
cnf(i_0_2983,plain,
is_bool(hAPP_f882250837l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1737]),
[final] ).
cnf(i_0_2984,plain,
is_bool(hAPP_f1117143157l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1738]),
[final] ).
cnf(i_0_2985,plain,
is_bool(hAPP_f1965705105l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1739]),
[final] ).
cnf(i_0_2986,plain,
is_bool(hAPP_f1597773170l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1740]),
[final] ).
cnf(i_0_2987,plain,
is_bool(hAPP_f866114756l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1741]),
[final] ).
cnf(i_0_2988,plain,
is_bool(hAPP_f339859954l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1742]),
[final] ).
cnf(i_0_2989,plain,
is_bool(hAPP_f537623936l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1743]),
[final] ).
cnf(i_0_2990,plain,
is_bool(hAPP_f1426445843l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1744]),
[final] ).
cnf(i_0_2991,plain,
is_bool(hAPP_f1637334154l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1745]),
[final] ).
cnf(i_0_2992,plain,
is_bool(hAPP_f1428735377l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1746]),
[final] ).
cnf(i_0_2993,plain,
is_bool(hAPP_f2053170815l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1747]),
[final] ).
cnf(i_0_2994,plain,
is_bool(hAPP_f937100551l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1748]),
[final] ).
cnf(i_0_2995,plain,
is_bool(hAPP_f740740988l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1749]),
[final] ).
cnf(i_0_2996,plain,
is_bool(hAPP_f620747982l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1750]),
[final] ).
cnf(i_0_2997,plain,
is_bool(hAPP_f67777128l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1751]),
[final] ).
cnf(i_0_2998,plain,
is_bool(hAPP_f1291635206l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1752]),
[final] ).
cnf(i_0_2999,plain,
is_bool(hAPP_f2016919811l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1753]),
[final] ).
cnf(i_0_3000,plain,
is_bool(hAPP_f1898839893l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1754]),
[final] ).
cnf(i_0_3001,plain,
is_bool(hAPP_f599997089l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1755]),
[final] ).
cnf(i_0_3002,plain,
is_bool(hAPP_f54304608l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1756]),
[final] ).
cnf(i_0_3003,plain,
is_bool(hAPP_f387058535l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1757]),
[final] ).
cnf(i_0_3004,plain,
is_bool(hAPP_f212509069l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1758]),
[final] ).
cnf(i_0_3005,plain,
is_bool(hAPP_nat_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1759]),
[final] ).
cnf(i_0_3006,hypothesis,
is_fun20916972t_bool(hAPP_f1817389232t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1760]),
[final] ).
cnf(i_0_3007,plain,
is_fun20916972t_bool(hAPP_P401722323t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1761]),
[final] ).
cnf(i_0_3008,plain,
is_fun701126715l_bool(hAPP_P667392034l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1762]),
[final] ).
cnf(i_0_3009,hypothesis,
is_fun1420103068l_bool(hAPP_P1151433609l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1763]),
[final] ).
cnf(i_0_3010,plain,
is_fun1420103068l_bool(hAPP_f1895971544l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1764]),
[final] ).
cnf(i_0_3011,plain,
is_fun1420103068l_bool(hAPP_P288224245l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1765]),
[final] ).
cnf(i_0_3012,plain,
is_fun292781289l_bool(hAPP_P1305865168l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1766]),
[final] ).
cnf(i_0_3013,plain,
hBOOL(hAPP_P1813625415t_bool(top_to1773227171t_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_1767]),
[final] ).
cnf(i_0_3014,plain,
hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_1768]),
[final] ).
cnf(i_0_3015,plain,
hBOOL(hAPP_f446648900l_bool(top_to1849101472l_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_1769]),
[final] ).
cnf(i_0_3016,plain,
hBOOL(hAPP_f1378099862l_bool(top_to935749874l_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_1770]),
[final] ).
cnf(i_0_3017,plain,
hBOOL(hAPP_P1676879539t_bool(top_to1257323279t_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_1771]),
[final] ).
cnf(i_0_3018,plain,
hBOOL(hAPP_nat_bool(top_top_fun_nat_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_1772]),
[final] ).
cnf(i_0_3019,plain,
hBOOL(hAPP_A416869060i_bool(top_to207207712i_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_1773]),
[final] ).
cnf(i_0_3020,plain,
hBOOL(hAPP_f446648900l_bool(arrow_1550141362nimity,f)),
inference(split_conjunct,[status(thm)],[fact_1_u]),
[final] ).
cnf(i_0_3021,plain,
hBOOL(hAPP_f446648900l_bool(arrow_885770895le_IIA,f)),
inference(split_conjunct,[status(thm)],[fact_0_assms_I3_J]),
[final] ).
cnf(i_0_3022,plain,
hBOOL(hAPP_f160177134l_bool(finite921964625e_indi,top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[fact_595_finite__indi]),
[final] ).
cnf(i_0_3023,plain,
top_to1773227171t_bool = collec1376511890le_alt(hAPP_b763490121t_bool(cOMBK_1733734784le_alt,fTrue)),
inference(split_conjunct,[status(thm)],[fact_164_UNIV__def]),
[final] ).
cnf(i_0_3024,plain,
top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[fact_161_UNIV__def]),
[final] ).
cnf(i_0_3025,plain,
top_to1849101472l_bool = collec1517527055t_bool(hAPP_b651754310l_bool(cOMBK_577652221t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[fact_163_UNIV__def]),
[final] ).
cnf(i_0_3026,plain,
top_to935749874l_bool = collec1567922785t_bool(hAPP_b1461182872l_bool(cOMBK_776847951t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[fact_162_UNIV__def]),
[final] ).
cnf(i_0_3027,plain,
top_to1257323279t_bool = collect_Product_unit(hAPP_b1096750261t_bool(cOMBK_790042732t_unit,fTrue)),
inference(split_conjunct,[status(thm)],[fact_166_UNIV__def]),
[final] ).
cnf(i_0_3028,plain,
top_to207207712i_bool = collec279390863e_indi(hAPP_b2116075462i_bool(cOMBK_1391252605e_indi,fTrue)),
inference(split_conjunct,[status(thm)],[fact_165_UNIV__def]),
[final] ).
cnf(i_0_3029,plain,
hAPP_nat_nat(suc,X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_1774]),
[final] ).
cnf(i_0_3030,plain,
X1 != hAPP_nat_nat(suc,X1),
inference(split_conjunct,[status(thm)],[i_0_1775]),
[final] ).
cnf(i_0_3031,plain,
( X1 = zero_zero_nat
| X1 = hAPP_nat_nat(suc,esk95_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1776]),
[final] ).
cnf(i_0_3032,plain,
( X1 = zero_zero_nat
| X1 = hAPP_nat_nat(suc,esk94_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1777]),
[final] ).
cnf(i_0_3033,plain,
hAPP_nat_nat(suc,X1) != zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_1778]),
[final] ).
cnf(i_0_3034,plain,
hAPP_nat_nat(suc,X1) != zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_1779]),
[final] ).
cnf(i_0_3035,plain,
hAPP_nat_nat(suc,X1) != zero_zero_nat,
inference(split_conjunct,[status(thm)],[i_0_1780]),
[final] ).
cnf(i_0_3036,plain,
zero_zero_nat != hAPP_nat_nat(suc,X1),
inference(split_conjunct,[status(thm)],[i_0_1781]),
[final] ).
cnf(i_0_3037,plain,
zero_zero_nat != hAPP_nat_nat(suc,X1),
inference(split_conjunct,[status(thm)],[i_0_1782]),
[final] ).
cnf(i_0_3038,plain,
zero_zero_nat != hAPP_nat_nat(suc,X1),
inference(split_conjunct,[status(thm)],[i_0_1783]),
[final] ).
cnf(i_0_3039,plain,
( is_fun1568535512t_bool(collect_Product_unit(X1))
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1784]),
[final] ).
cnf(i_0_3040,plain,
( is_fun2015243113i_bool(collec279390863e_indi(X1))
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1785]),
[final] ).
cnf(i_0_3041,plain,
( is_fun20916972t_bool(collec1376511890le_alt(X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1786]),
[final] ).
cnf(i_0_3042,plain,
( is_fun701126715l_bool(collec1567922785t_bool(X1))
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1787]),
[final] ).
cnf(i_0_3043,plain,
( is_fun1420103068l_bool(collec612883262t_bool(X1))
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1788]),
[final] ).
cnf(i_0_3044,plain,
( is_fun1420103068l_bool(inj_on398823523t_bool(X1))
| ~ is_fun20916972t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1789]),
[final] ).
cnf(i_0_3045,plain,
( is_fun292781289l_bool(collec1517527055t_bool(X1))
| ~ is_fun292781289l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1790]),
[final] ).
cnf(i_0_3046,plain,
hAPP_nat_nat(cOMBI_nat,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_1791]),
[final] ).
cnf(i_0_3047,plain,
( collect_Product_unit(X1) = X1
| ~ is_fun1568535512t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1792]),
[final] ).
cnf(i_0_3048,plain,
( collec279390863e_indi(X1) = X1
| ~ is_fun2015243113i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1793]),
[final] ).
cnf(i_0_3049,plain,
one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
inference(split_conjunct,[status(thm)],[fact_656_One__nat__def]),
[final] ).
cnf(i_0_3050,plain,
top_top_fun_nat_bool = hAPP_b1013836512t_bool(cOMBK_bool_nat,fTrue),
inference(rw,[status(thm)],[i_0_1794,c_0_1009]),
[final] ).
cnf(i_0_3051,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1795]),
[final] ).
cnf(i_0_3052,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1796]),
[final] ).
cnf(i_0_3053,plain,
is_Arr859726945e_indi(undefi1052853330e_indi(arrow_132732488e_indi)),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oindi]),
[final] ).
cnf(i_0_3054,plain,
is_bool(undefined_bool(bool)),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__HOL__Obool]),
[final] ).
cnf(i_0_3055,plain,
is_Arr723427730le_alt(undefi1471133025le_alt(arrow_1486210539le_alt)),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt]),
[final] ).
cnf(i_0_3056,plain,
hBOOL(fTrue),
inference(split_conjunct,[status(thm)],[help_fTrue_1_1_U]),
[final] ).
cnf(i_0_3057,plain,
is_fun1568535512t_bool(top_to1257323279t_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Product____Type__Ounit_Mtc__HOL]),
[final] ).
cnf(i_0_3058,plain,
is_fun2015243113i_bool(top_to207207712i_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____]),
[final] ).
cnf(i_0_3059,plain,
is_bool(fTrue),
inference(split_conjunct,[status(thm)],[gsy_c_fTrue]),
[final] ).
cnf(i_0_3060,plain,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[gsy_c_fFalse]),
[final] ).
cnf(i_0_3061,plain,
is_bool(top_top_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool]),
[final] ).
cnf(i_0_3062,plain,
is_Arr723427730le_alt(e),
inference(split_conjunct,[status(thm)],[gsy_v_e____]),
[final] ).
cnf(i_0_3063,hypothesis,
is_Arr723427730le_alt(d),
inference(split_conjunct,[status(thm)],[gsy_v_d____]),
[final] ).
cnf(i_0_3064,hypothesis,
is_Arr723427730le_alt(c),
inference(split_conjunct,[status(thm)],[gsy_v_c____]),
[final] ).
cnf(i_0_3065,plain,
is_Arr723427730le_alt(b),
inference(split_conjunct,[status(thm)],[gsy_v_b____]),
[final] ).
cnf(i_0_3066,plain,
is_Arr723427730le_alt(a),
inference(split_conjunct,[status(thm)],[gsy_v_a____]),
[final] ).
cnf(i_0_3067,plain,
is_fun20916972t_bool(esk63_0),
inference(split_conjunct,[status(thm)],[i_0_1634]),
[final] ).
cnf(i_0_3068,plain,
is_fun20916972t_bool(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_1188]),
[final] ).
cnf(i_0_3069,plain,
is_fun20916972t_bool(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_1189]),
[final] ).
cnf(i_0_3070,plain,
is_fun20916972t_bool(lba),
inference(split_conjunct,[status(thm)],[gsy_v_Lba____]),
[final] ).
cnf(i_0_3071,plain,
is_fun20916972t_bool(lab),
inference(split_conjunct,[status(thm)],[gsy_v_Lab____]),
[final] ).
cnf(i_0_3072,plain,
is_fun20916972t_bool(top_to1773227171t_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir]),
[final] ).
cnf(i_0_3073,plain,
is_fun701126715l_bool(top_to935749874l_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira]),
[final] ).
cnf(i_0_3074,plain,
is_fun701126715l_bool(arrow_583275979e_Prof),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf]),
[final] ).
cnf(i_0_3075,plain,
is_fun1420103068l_bool(top_to846262053l_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord]),
[final] ).
cnf(i_0_3076,plain,
is_fun1420103068l_bool(finite955821396le_alt),
inference(split_conjunct,[status(thm)],[gsy_c_Finite__Set_Ofinite_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsun]),
[final] ).
cnf(i_0_3077,plain,
is_fun1420103068l_bool(arrow_912654623le_Lin),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OLin]),
[final] ).
cnf(i_0_3078,plain,
is_fun292781289l_bool(top_to1849101472l_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde]),
[final] ).
cnf(i_0_3079,plain,
is_fun292781289l_bool(arrow_1550141362nimity),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_Ounanimity]),
[final] ).
cnf(i_0_3080,plain,
is_fun292781289l_bool(arrow_885770895le_IIA),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OIIA]),
[final] ).
cnf(i_0_3081,plain,
finite1949902593t_unit(top_to1257323279t_bool) = one_one_nat,
inference(split_conjunct,[status(thm)],[fact_603_card__UNIV__unit]),
[final] ).
cnf(i_0_3082,plain,
c != d,
inference(split_conjunct,[status(thm)],[fact_2__096c_A_126_061_Ad_096]),
[final] ).
cnf(i_0_3083,plain,
a != b,
inference(split_conjunct,[status(thm)],[fact_75__096a_A_126_061_Ab_096]),
[final] ).
cnf(i_0_3084,axiom,
X1 = X1 ).
cnf(i_0_3085,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_3086,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_3087,axiom,
( X1 != X2
| hAPP_f1733357041l_bool(X1,X3) = hAPP_f1733357041l_bool(X2,X3) ) ).
cnf(i_0_3088,axiom,
( X1 != X2
| hAPP_f1733357041l_bool(X3,X1) = hAPP_f1733357041l_bool(X3,X2) ) ).
cnf(i_0_3089,axiom,
( X1 != X2
| hAPP_f160177134l_bool(X1,X3) = hAPP_f160177134l_bool(X2,X3) ) ).
cnf(i_0_3090,axiom,
( X1 != X2
| hAPP_f160177134l_bool(X3,X1) = hAPP_f160177134l_bool(X3,X2) ) ).
cnf(i_0_3091,axiom,
( X1 != X2
| hAPP_A416869060i_bool(X1,X3) = hAPP_A416869060i_bool(X2,X3) ) ).
cnf(i_0_3092,axiom,
( X1 != X2
| hAPP_A416869060i_bool(X3,X1) = hAPP_A416869060i_bool(X3,X2) ) ).
cnf(i_0_3093,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_3094,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_3095,axiom,
( X1 != X2
| esk24_2(X1,X3) = esk24_2(X2,X3) ) ).
cnf(i_0_3096,axiom,
( X1 != X2
| esk24_2(X3,X1) = esk24_2(X3,X2) ) ).
cnf(i_0_3097,axiom,
( X1 != X2
| hAPP_bool_bool(X1,X3) = hAPP_bool_bool(X2,X3) ) ).
cnf(i_0_3098,axiom,
( X1 != X2
| hAPP_bool_bool(X3,X1) = hAPP_bool_bool(X3,X2) ) ).
cnf(i_0_3099,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X1,X3) = hAPP_b589554111l_bool(X2,X3) ) ).
cnf(i_0_3100,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X3,X1) = hAPP_b589554111l_bool(X3,X2) ) ).
cnf(i_0_3101,axiom,
( X1 != X2
| finite1524925796t_bool(X1) = finite1524925796t_bool(X2) ) ).
cnf(i_0_3102,axiom,
( X1 != X2
| finite945540987t_bool(X1) = finite945540987t_bool(X2) ) ).
cnf(i_0_3103,axiom,
( X1 != X2
| finite354462354e_indi(X1) = finite354462354e_indi(X2) ) ).
cnf(i_0_3104,axiom,
( X1 != X2
| finite1044330389le_alt(X1) = finite1044330389le_alt(X2) ) ).
cnf(i_0_3105,axiom,
( X1 != X2
| finite_card_bool(X1) = finite_card_bool(X2) ) ).
cnf(i_0_3106,axiom,
( X1 != X2
| hAPP_f137597973t_bool(X1,X3) = hAPP_f137597973t_bool(X2,X3) ) ).
cnf(i_0_3107,axiom,
( X1 != X2
| hAPP_f137597973t_bool(X3,X1) = hAPP_f137597973t_bool(X3,X2) ) ).
cnf(i_0_3108,axiom,
( X1 != X2
| hAPP_f2028818269l_bool(X1,X3) = hAPP_f2028818269l_bool(X2,X3) ) ).
cnf(i_0_3109,axiom,
( X1 != X2
| hAPP_f2028818269l_bool(X3,X1) = hAPP_f2028818269l_bool(X3,X2) ) ).
cnf(i_0_3110,axiom,
( X1 != X2
| hAPP_n619554777e_indi(X1,X3) = hAPP_n619554777e_indi(X2,X3) ) ).
cnf(i_0_3111,axiom,
( X1 != X2
| hAPP_n619554777e_indi(X3,X1) = hAPP_n619554777e_indi(X3,X2) ) ).
cnf(i_0_3112,axiom,
( X1 != X2
| hilber951314860di_nat(X1,X3) = hilber951314860di_nat(X2,X3) ) ).
cnf(i_0_3113,axiom,
( X1 != X2
| hilber951314860di_nat(X3,X1) = hilber951314860di_nat(X3,X2) ) ).
cnf(i_0_3114,axiom,
( X1 != X2
| hAPP_b763490121t_bool(X1,X3) = hAPP_b763490121t_bool(X2,X3) ) ).
cnf(i_0_3115,axiom,
( X1 != X2
| hAPP_b763490121t_bool(X3,X1) = hAPP_b763490121t_bool(X3,X2) ) ).
cnf(i_0_3116,axiom,
( X1 != X2
| hAPP_P1151433609l_bool(X1,X3) = hAPP_P1151433609l_bool(X2,X3) ) ).
cnf(i_0_3117,axiom,
( X1 != X2
| hAPP_P1151433609l_bool(X3,X1) = hAPP_P1151433609l_bool(X3,X2) ) ).
cnf(i_0_3118,axiom,
( X1 != X2
| hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X2,X3) ) ).
cnf(i_0_3119,axiom,
( X1 != X2
| hAPP_nat_nat(X3,X1) = hAPP_nat_nat(X3,X2) ) ).
cnf(i_0_3120,axiom,
( X1 != X2
| hAPP_b1013836512t_bool(X1,X3) = hAPP_b1013836512t_bool(X2,X3) ) ).
cnf(i_0_3121,axiom,
( X1 != X2
| hAPP_b1013836512t_bool(X3,X1) = hAPP_b1013836512t_bool(X3,X2) ) ).
cnf(i_0_3122,axiom,
( X1 != X2
| hAPP_A1948275303t_bool(X1,X3) = hAPP_A1948275303t_bool(X2,X3) ) ).
cnf(i_0_3123,axiom,
( X1 != X2
| hAPP_A1948275303t_bool(X3,X1) = hAPP_A1948275303t_bool(X3,X2) ) ).
cnf(i_0_3124,axiom,
( X1 != X2
| hAPP_f1378099862l_bool(X1,X3) = hAPP_f1378099862l_bool(X2,X3) ) ).
cnf(i_0_3125,axiom,
( X1 != X2
| hAPP_f1378099862l_bool(X3,X1) = hAPP_f1378099862l_bool(X3,X2) ) ).
cnf(i_0_3126,axiom,
( X1 != X2
| hAPP_n1006566506l_bool(X1,X3) = hAPP_n1006566506l_bool(X2,X3) ) ).
cnf(i_0_3127,axiom,
( X1 != X2
| hAPP_n1006566506l_bool(X3,X1) = hAPP_n1006566506l_bool(X3,X2) ) ).
cnf(i_0_3128,axiom,
( X1 != X2
| hAPP_f431432850i_bool(X1,X3) = hAPP_f431432850i_bool(X2,X3) ) ).
cnf(i_0_3129,axiom,
( X1 != X2
| hAPP_f431432850i_bool(X3,X1) = hAPP_f431432850i_bool(X3,X2) ) ).
cnf(i_0_3130,axiom,
( X1 != X2
| hAPP_A1561816353le_alt(X1,X3) = hAPP_A1561816353le_alt(X2,X3) ) ).
cnf(i_0_3131,axiom,
( X1 != X2
| hAPP_A1561816353le_alt(X3,X1) = hAPP_A1561816353le_alt(X3,X2) ) ).
cnf(i_0_3132,axiom,
( X1 != X2
| hilber195283148at_nat(X1,X3) = hilber195283148at_nat(X2,X3) ) ).
cnf(i_0_3133,axiom,
( X1 != X2
| hilber195283148at_nat(X3,X1) = hilber195283148at_nat(X3,X2) ) ).
cnf(i_0_3134,axiom,
( X1 != X2
| esk38_2(X1,X3) = esk38_2(X2,X3) ) ).
cnf(i_0_3135,axiom,
( X1 != X2
| esk38_2(X3,X1) = esk38_2(X3,X2) ) ).
cnf(i_0_3136,axiom,
( X1 != X2
| esk37_2(X1,X3) = esk37_2(X2,X3) ) ).
cnf(i_0_3137,axiom,
( X1 != X2
| esk37_2(X3,X1) = esk37_2(X3,X2) ) ).
cnf(i_0_3138,axiom,
( X1 != X2
| esk71_2(X1,X3) = esk71_2(X2,X3) ) ).
cnf(i_0_3139,axiom,
( X1 != X2
| esk71_2(X3,X1) = esk71_2(X3,X2) ) ).
cnf(i_0_3140,axiom,
( X1 != X2
| esk70_2(X1,X3) = esk70_2(X2,X3) ) ).
cnf(i_0_3141,axiom,
( X1 != X2
| esk70_2(X3,X1) = esk70_2(X3,X2) ) ).
cnf(i_0_3142,axiom,
( X1 != X2
| esk30_2(X1,X3) = esk30_2(X2,X3) ) ).
cnf(i_0_3143,axiom,
( X1 != X2
| esk30_2(X3,X1) = esk30_2(X3,X2) ) ).
cnf(i_0_3144,axiom,
( X1 != X2
| esk29_2(X1,X3) = esk29_2(X2,X3) ) ).
cnf(i_0_3145,axiom,
( X1 != X2
| esk29_2(X3,X1) = esk29_2(X3,X2) ) ).
cnf(i_0_3146,axiom,
( X1 != X2
| esk73_2(X1,X3) = esk73_2(X2,X3) ) ).
cnf(i_0_3147,axiom,
( X1 != X2
| esk73_2(X3,X1) = esk73_2(X3,X2) ) ).
cnf(i_0_3148,axiom,
( X1 != X2
| esk72_2(X1,X3) = esk72_2(X2,X3) ) ).
cnf(i_0_3149,axiom,
( X1 != X2
| esk72_2(X3,X1) = esk72_2(X3,X2) ) ).
cnf(i_0_3150,axiom,
( X1 != X2
| esk32_2(X1,X3) = esk32_2(X2,X3) ) ).
cnf(i_0_3151,axiom,
( X1 != X2
| esk32_2(X3,X1) = esk32_2(X3,X2) ) ).
cnf(i_0_3152,axiom,
( X1 != X2
| esk31_2(X1,X3) = esk31_2(X2,X3) ) ).
cnf(i_0_3153,axiom,
( X1 != X2
| esk31_2(X3,X1) = esk31_2(X3,X2) ) ).
cnf(i_0_3154,axiom,
( X1 != X2
| hAPP_f446648900l_bool(X1,X3) = hAPP_f446648900l_bool(X2,X3) ) ).
cnf(i_0_3155,axiom,
( X1 != X2
| hAPP_f446648900l_bool(X3,X1) = hAPP_f446648900l_bool(X3,X2) ) ).
cnf(i_0_3156,axiom,
( X1 != X2
| hAPP_P1676879539t_bool(X1,X3) = hAPP_P1676879539t_bool(X2,X3) ) ).
cnf(i_0_3157,axiom,
( X1 != X2
| hAPP_P1676879539t_bool(X3,X1) = hAPP_P1676879539t_bool(X3,X2) ) ).
cnf(i_0_3158,axiom,
( X1 != X2
| hAPP_A1906804694t_bool(X1,X3) = hAPP_A1906804694t_bool(X2,X3) ) ).
cnf(i_0_3159,axiom,
( X1 != X2
| hAPP_A1906804694t_bool(X3,X1) = hAPP_A1906804694t_bool(X3,X2) ) ).
cnf(i_0_3160,axiom,
( X1 != X2
| hAPP_f1000663785t_bool(X1,X3) = hAPP_f1000663785t_bool(X2,X3) ) ).
cnf(i_0_3161,axiom,
( X1 != X2
| hAPP_f1000663785t_bool(X3,X1) = hAPP_f1000663785t_bool(X3,X2) ) ).
cnf(i_0_3162,axiom,
( X1 != X2
| hAPP_A725195434t_bool(X1,X3) = hAPP_A725195434t_bool(X2,X3) ) ).
cnf(i_0_3163,axiom,
( X1 != X2
| hAPP_A725195434t_bool(X3,X1) = hAPP_A725195434t_bool(X3,X2) ) ).
cnf(i_0_3164,axiom,
( X1 != X2
| hAPP_A1781286015t_bool(X1,X3) = hAPP_A1781286015t_bool(X2,X3) ) ).
cnf(i_0_3165,axiom,
( X1 != X2
| hAPP_A1781286015t_bool(X3,X1) = hAPP_A1781286015t_bool(X3,X2) ) ).
cnf(i_0_3166,axiom,
( X1 != X2
| hAPP_f1068593625t_bool(X1,X3) = hAPP_f1068593625t_bool(X2,X3) ) ).
cnf(i_0_3167,axiom,
( X1 != X2
| hAPP_f1068593625t_bool(X3,X1) = hAPP_f1068593625t_bool(X3,X2) ) ).
cnf(i_0_3168,axiom,
( X1 != X2
| hAPP_A64811457t_bool(X1,X3) = hAPP_A64811457t_bool(X2,X3) ) ).
cnf(i_0_3169,axiom,
( X1 != X2
| hAPP_A64811457t_bool(X3,X1) = hAPP_A64811457t_bool(X3,X2) ) ).
cnf(i_0_3170,axiom,
( X1 != X2
| hAPP_A85603248t_bool(X1,X3) = hAPP_A85603248t_bool(X2,X3) ) ).
cnf(i_0_3171,axiom,
( X1 != X2
| hAPP_A85603248t_bool(X3,X1) = hAPP_A85603248t_bool(X3,X2) ) ).
cnf(i_0_3172,axiom,
( X1 != X2
| hAPP_A1202525278t_bool(X1,X3) = hAPP_A1202525278t_bool(X2,X3) ) ).
cnf(i_0_3173,axiom,
( X1 != X2
| hAPP_A1202525278t_bool(X3,X1) = hAPP_A1202525278t_bool(X3,X2) ) ).
cnf(i_0_3174,axiom,
( X1 != X2
| hAPP_A1120018583t_bool(X1,X3) = hAPP_A1120018583t_bool(X2,X3) ) ).
cnf(i_0_3175,axiom,
( X1 != X2
| hAPP_A1120018583t_bool(X3,X1) = hAPP_A1120018583t_bool(X3,X2) ) ).
cnf(i_0_3176,axiom,
( X1 != X2
| hAPP_f372913425t_bool(X1,X3) = hAPP_f372913425t_bool(X2,X3) ) ).
cnf(i_0_3177,axiom,
( X1 != X2
| hAPP_f372913425t_bool(X3,X1) = hAPP_f372913425t_bool(X3,X2) ) ).
cnf(i_0_3178,axiom,
( X1 != X2
| hAPP_A433435097l_bool(X1,X3) = hAPP_A433435097l_bool(X2,X3) ) ).
cnf(i_0_3179,axiom,
( X1 != X2
| hAPP_A433435097l_bool(X3,X1) = hAPP_A433435097l_bool(X3,X2) ) ).
cnf(i_0_3180,axiom,
( X1 != X2
| hAPP_b910261233t_bool(X1,X3) = hAPP_b910261233t_bool(X2,X3) ) ).
cnf(i_0_3181,axiom,
( X1 != X2
| hAPP_b910261233t_bool(X3,X1) = hAPP_b910261233t_bool(X3,X2) ) ).
cnf(i_0_3182,axiom,
( X1 != X2
| hAPP_nat_bool(X1,X3) = hAPP_nat_bool(X2,X3) ) ).
cnf(i_0_3183,axiom,
( X1 != X2
| hAPP_nat_bool(X3,X1) = hAPP_nat_bool(X3,X2) ) ).
cnf(i_0_3184,axiom,
( X1 != X2
| hAPP_A643475905l_bool(X1,X3) = hAPP_A643475905l_bool(X2,X3) ) ).
cnf(i_0_3185,axiom,
( X1 != X2
| hAPP_A643475905l_bool(X3,X1) = hAPP_A643475905l_bool(X3,X2) ) ).
cnf(i_0_3186,axiom,
( X1 != X2
| hAPP_f1656652505l_bool(X1,X3) = hAPP_f1656652505l_bool(X2,X3) ) ).
cnf(i_0_3187,axiom,
( X1 != X2
| hAPP_f1656652505l_bool(X3,X1) = hAPP_f1656652505l_bool(X3,X2) ) ).
cnf(i_0_3188,axiom,
( X1 != X2
| esk39_1(X1) = esk39_1(X2) ) ).
cnf(i_0_3189,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_3190,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_3191,axiom,
( X1 != X2
| esk42_1(X1) = esk42_1(X2) ) ).
cnf(i_0_3192,axiom,
( X1 != X2
| hAPP_f1332130404l_bool(X1,X3) = hAPP_f1332130404l_bool(X2,X3) ) ).
cnf(i_0_3193,axiom,
( X1 != X2
| hAPP_f1332130404l_bool(X3,X1) = hAPP_f1332130404l_bool(X3,X2) ) ).
cnf(i_0_3194,axiom,
( X1 != X2
| image_837079859di_nat(X1,X3) = image_837079859di_nat(X2,X3) ) ).
cnf(i_0_3195,axiom,
( X1 != X2
| image_837079859di_nat(X3,X1) = image_837079859di_nat(X3,X2) ) ).
cnf(i_0_3196,axiom,
( X1 != X2
| hAPP_n1699378549t_bool(X1,X3) = hAPP_n1699378549t_bool(X2,X3) ) ).
cnf(i_0_3197,axiom,
( X1 != X2
| hAPP_n1699378549t_bool(X3,X1) = hAPP_n1699378549t_bool(X3,X2) ) ).
cnf(i_0_3198,axiom,
( X1 != X2
| collec1376511890le_alt(X1) = collec1376511890le_alt(X2) ) ).
cnf(i_0_3199,axiom,
( X1 != X2
| collec612883262t_bool(X1) = collec612883262t_bool(X2) ) ).
cnf(i_0_3200,axiom,
( X1 != X2
| collec1517527055t_bool(X1) = collec1517527055t_bool(X2) ) ).
cnf(i_0_3201,axiom,
( X1 != X2
| collec1567922785t_bool(X1) = collec1567922785t_bool(X2) ) ).
cnf(i_0_3202,axiom,
( X1 != X2
| collect_Product_unit(X1) = collect_Product_unit(X2) ) ).
cnf(i_0_3203,axiom,
( X1 != X2
| collec279390863e_indi(X1) = collec279390863e_indi(X2) ) ).
cnf(i_0_3204,axiom,
( X1 != X2
| finite1949902593t_unit(X1) = finite1949902593t_unit(X2) ) ).
cnf(i_0_3205,axiom,
( X1 != X2
| hAPP_f1817389232t_bool(X1,X3) = hAPP_f1817389232t_bool(X2,X3) ) ).
cnf(i_0_3206,axiom,
( X1 != X2
| hAPP_f1817389232t_bool(X3,X1) = hAPP_f1817389232t_bool(X3,X2) ) ).
cnf(i_0_3207,axiom,
( X1 != X2
| hAPP_A1895296483di_nat(X1,X3) = hAPP_A1895296483di_nat(X2,X3) ) ).
cnf(i_0_3208,axiom,
( X1 != X2
| hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2) ) ).
cnf(i_0_3209,axiom,
( X1 != X2
| hAPP_A1014090479t_bool(X1,X3) = hAPP_A1014090479t_bool(X2,X3) ) ).
cnf(i_0_3210,axiom,
( X1 != X2
| hAPP_A1014090479t_bool(X3,X1) = hAPP_A1014090479t_bool(X3,X2) ) ).
cnf(i_0_3211,axiom,
( X1 != X2
| hAPP_f102394819t_bool(X1,X3) = hAPP_f102394819t_bool(X2,X3) ) ).
cnf(i_0_3212,axiom,
( X1 != X2
| hAPP_f102394819t_bool(X3,X1) = hAPP_f102394819t_bool(X3,X2) ) ).
cnf(i_0_3213,axiom,
( X1 != X2
| hAPP_A28770973t_bool(X1,X3) = hAPP_A28770973t_bool(X2,X3) ) ).
cnf(i_0_3214,axiom,
( X1 != X2
| hAPP_A28770973t_bool(X3,X1) = hAPP_A28770973t_bool(X3,X2) ) ).
cnf(i_0_3215,axiom,
( X1 != X2
| hAPP_f684072049t_bool(X1,X3) = hAPP_f684072049t_bool(X2,X3) ) ).
cnf(i_0_3216,axiom,
( X1 != X2
| hAPP_f684072049t_bool(X3,X1) = hAPP_f684072049t_bool(X3,X2) ) ).
cnf(i_0_3217,axiom,
( X1 != X2
| hAPP_f560517119l_bool(X1,X3) = hAPP_f560517119l_bool(X2,X3) ) ).
cnf(i_0_3218,axiom,
( X1 != X2
| hAPP_f560517119l_bool(X3,X1) = hAPP_f560517119l_bool(X3,X2) ) ).
cnf(i_0_3219,axiom,
( X1 != X2
| pi_Pro1873779901t_bool(X1,X3) = pi_Pro1873779901t_bool(X2,X3) ) ).
cnf(i_0_3220,axiom,
( X1 != X2
| pi_Pro1873779901t_bool(X3,X1) = pi_Pro1873779901t_bool(X3,X2) ) ).
cnf(i_0_3221,axiom,
( X1 != X2
| hAPP_P1813625415t_bool(X1,X3) = hAPP_P1813625415t_bool(X2,X3) ) ).
cnf(i_0_3222,axiom,
( X1 != X2
| hAPP_P1813625415t_bool(X3,X1) = hAPP_P1813625415t_bool(X3,X2) ) ).
cnf(i_0_3223,axiom,
( X1 != X2
| hAPP_A340536322t_bool(X1,X3) = hAPP_A340536322t_bool(X2,X3) ) ).
cnf(i_0_3224,axiom,
( X1 != X2
| hAPP_A340536322t_bool(X3,X1) = hAPP_A340536322t_bool(X3,X2) ) ).
cnf(i_0_3225,axiom,
( X1 != X2
| finite_card_nat(X1) = finite_card_nat(X2) ) ).
cnf(i_0_3226,axiom,
( X1 != X2
| hAPP_f54304608l_bool(X1,X3) = hAPP_f54304608l_bool(X2,X3) ) ).
cnf(i_0_3227,axiom,
( X1 != X2
| hAPP_f54304608l_bool(X3,X1) = hAPP_f54304608l_bool(X3,X2) ) ).
cnf(i_0_3228,axiom,
( X1 != X2
| hAPP_n215258509l_bool(X1,X3) = hAPP_n215258509l_bool(X2,X3) ) ).
cnf(i_0_3229,axiom,
( X1 != X2
| hAPP_n215258509l_bool(X3,X1) = hAPP_n215258509l_bool(X3,X2) ) ).
cnf(i_0_3230,axiom,
( X1 != X2
| hAPP_f387058535l_bool(X1,X3) = hAPP_f387058535l_bool(X2,X3) ) ).
cnf(i_0_3231,axiom,
( X1 != X2
| hAPP_f387058535l_bool(X3,X1) = hAPP_f387058535l_bool(X3,X2) ) ).
cnf(i_0_3232,axiom,
( X1 != X2
| hAPP_f147218624l_bool(X1,X3) = hAPP_f147218624l_bool(X2,X3) ) ).
cnf(i_0_3233,axiom,
( X1 != X2
| hAPP_f147218624l_bool(X3,X1) = hAPP_f147218624l_bool(X3,X2) ) ).
cnf(i_0_3234,axiom,
( X1 != X2
| hAPP_P1122857141l_bool(X1,X3) = hAPP_P1122857141l_bool(X2,X3) ) ).
cnf(i_0_3235,axiom,
( X1 != X2
| hAPP_P1122857141l_bool(X3,X1) = hAPP_P1122857141l_bool(X3,X2) ) ).
cnf(i_0_3236,axiom,
( X1 != X2
| hAPP_f322109294l_bool(X1,X3) = hAPP_f322109294l_bool(X2,X3) ) ).
cnf(i_0_3237,axiom,
( X1 != X2
| hAPP_f322109294l_bool(X3,X1) = hAPP_f322109294l_bool(X3,X2) ) ).
cnf(i_0_3238,axiom,
( X1 != X2
| pi_fun1555365306t_bool(X1,X3) = pi_fun1555365306t_bool(X2,X3) ) ).
cnf(i_0_3239,axiom,
( X1 != X2
| pi_fun1555365306t_bool(X3,X1) = pi_fun1555365306t_bool(X3,X2) ) ).
cnf(i_0_3240,axiom,
( X1 != X2
| hAPP_f1895971544l_bool(X1,X3) = hAPP_f1895971544l_bool(X2,X3) ) ).
cnf(i_0_3241,axiom,
( X1 != X2
| hAPP_f1895971544l_bool(X3,X1) = hAPP_f1895971544l_bool(X3,X2) ) ).
cnf(i_0_3242,axiom,
( X1 != X2
| pi_Arr1801471756t_bool(X1,X3) = pi_Arr1801471756t_bool(X2,X3) ) ).
cnf(i_0_3243,axiom,
( X1 != X2
| pi_Arr1801471756t_bool(X3,X1) = pi_Arr1801471756t_bool(X3,X2) ) ).
cnf(i_0_3244,axiom,
( X1 != X2
| hAPP_A659996934l_bool(X1,X3) = hAPP_A659996934l_bool(X2,X3) ) ).
cnf(i_0_3245,axiom,
( X1 != X2
| hAPP_A659996934l_bool(X3,X1) = hAPP_A659996934l_bool(X3,X2) ) ).
cnf(i_0_3246,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_3247,axiom,
( X1 != X2
| ~ is_fun292781289l_bool(X1)
| is_fun292781289l_bool(X2) ) ).
cnf(i_0_3248,axiom,
( X1 != X2
| ~ is_fun701126715l_bool(X1)
| is_fun701126715l_bool(X2) ) ).
cnf(i_0_3249,axiom,
( X1 != X2
| ~ is_Arr723427730le_alt(X1)
| is_Arr723427730le_alt(X2) ) ).
cnf(i_0_3250,axiom,
( X1 != X2
| ~ is_Arr859726945e_indi(X1)
| is_Arr859726945e_indi(X2) ) ).
cnf(i_0_3251,axiom,
( X1 != X2
| ~ is_fun20916972t_bool(X1)
| is_fun20916972t_bool(X2) ) ).
cnf(i_0_3252,axiom,
( X1 != X2
| ~ is_fun1084921220e_indi(X1)
| is_fun1084921220e_indi(X2) ) ).
cnf(i_0_3253,axiom,
( X1 != X2
| ~ is_fun1568535512t_bool(X1)
| is_fun1568535512t_bool(X2) ) ).
cnf(i_0_3254,axiom,
( X1 != X2
| ~ is_fun2015243113i_bool(X1)
| is_fun2015243113i_bool(X2) ) ).
cnf(i_0_3255,axiom,
( X1 != X2
| ~ is_bool(X1)
| is_bool(X2) ) ).
cnf(i_0_3256,axiom,
( X1 != X2
| ~ is_fun1420103068l_bool(X1)
| is_fun1420103068l_bool(X2) ) ).
cnf(i_0_3084_001,axiom,
X1 = X1 ).
cnf(i_0_3085_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_3086_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_3087_004,axiom,
( X1 != X2
| hAPP_f1733357041l_bool(X1,X3) = hAPP_f1733357041l_bool(X2,X3) ) ).
cnf(i_0_3088_005,axiom,
( X1 != X2
| hAPP_f1733357041l_bool(X3,X1) = hAPP_f1733357041l_bool(X3,X2) ) ).
cnf(i_0_3089_006,axiom,
( X1 != X2
| hAPP_f160177134l_bool(X1,X3) = hAPP_f160177134l_bool(X2,X3) ) ).
cnf(i_0_3090_007,axiom,
( X1 != X2
| hAPP_f160177134l_bool(X3,X1) = hAPP_f160177134l_bool(X3,X2) ) ).
cnf(i_0_3091_008,axiom,
( X1 != X2
| hAPP_A416869060i_bool(X1,X3) = hAPP_A416869060i_bool(X2,X3) ) ).
cnf(i_0_3092_009,axiom,
( X1 != X2
| hAPP_A416869060i_bool(X3,X1) = hAPP_A416869060i_bool(X3,X2) ) ).
cnf(i_0_3093_010,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_3094_011,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_3095_012,axiom,
( X1 != X2
| esk24_2(X1,X3) = esk24_2(X2,X3) ) ).
cnf(i_0_3096_013,axiom,
( X1 != X2
| esk24_2(X3,X1) = esk24_2(X3,X2) ) ).
cnf(i_0_3097_014,axiom,
( X1 != X2
| hAPP_bool_bool(X1,X3) = hAPP_bool_bool(X2,X3) ) ).
cnf(i_0_3098_015,axiom,
( X1 != X2
| hAPP_bool_bool(X3,X1) = hAPP_bool_bool(X3,X2) ) ).
cnf(i_0_3099_016,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X1,X3) = hAPP_b589554111l_bool(X2,X3) ) ).
cnf(i_0_3100_017,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X3,X1) = hAPP_b589554111l_bool(X3,X2) ) ).
cnf(i_0_3101_018,axiom,
( X1 != X2
| finite1524925796t_bool(X1) = finite1524925796t_bool(X2) ) ).
cnf(i_0_3102_019,axiom,
( X1 != X2
| finite945540987t_bool(X1) = finite945540987t_bool(X2) ) ).
cnf(i_0_3103_020,axiom,
( X1 != X2
| finite354462354e_indi(X1) = finite354462354e_indi(X2) ) ).
cnf(i_0_3104_021,axiom,
( X1 != X2
| finite1044330389le_alt(X1) = finite1044330389le_alt(X2) ) ).
cnf(i_0_3105_022,axiom,
( X1 != X2
| finite_card_bool(X1) = finite_card_bool(X2) ) ).
cnf(i_0_3106_023,axiom,
( X1 != X2
| hAPP_f137597973t_bool(X1,X3) = hAPP_f137597973t_bool(X2,X3) ) ).
cnf(i_0_3107_024,axiom,
( X1 != X2
| hAPP_f137597973t_bool(X3,X1) = hAPP_f137597973t_bool(X3,X2) ) ).
cnf(i_0_3108_025,axiom,
( X1 != X2
| hAPP_f2028818269l_bool(X1,X3) = hAPP_f2028818269l_bool(X2,X3) ) ).
cnf(i_0_3109_026,axiom,
( X1 != X2
| hAPP_f2028818269l_bool(X3,X1) = hAPP_f2028818269l_bool(X3,X2) ) ).
cnf(i_0_3110_027,axiom,
( X1 != X2
| hAPP_n619554777e_indi(X1,X3) = hAPP_n619554777e_indi(X2,X3) ) ).
cnf(i_0_3111_028,axiom,
( X1 != X2
| hAPP_n619554777e_indi(X3,X1) = hAPP_n619554777e_indi(X3,X2) ) ).
cnf(i_0_3112_029,axiom,
( X1 != X2
| hilber951314860di_nat(X1,X3) = hilber951314860di_nat(X2,X3) ) ).
cnf(i_0_3113_030,axiom,
( X1 != X2
| hilber951314860di_nat(X3,X1) = hilber951314860di_nat(X3,X2) ) ).
cnf(i_0_3114_031,axiom,
( X1 != X2
| hAPP_b763490121t_bool(X1,X3) = hAPP_b763490121t_bool(X2,X3) ) ).
cnf(i_0_3115_032,axiom,
( X1 != X2
| hAPP_b763490121t_bool(X3,X1) = hAPP_b763490121t_bool(X3,X2) ) ).
cnf(i_0_3116_033,axiom,
( X1 != X2
| hAPP_P1151433609l_bool(X1,X3) = hAPP_P1151433609l_bool(X2,X3) ) ).
cnf(i_0_3117_034,axiom,
( X1 != X2
| hAPP_P1151433609l_bool(X3,X1) = hAPP_P1151433609l_bool(X3,X2) ) ).
cnf(i_0_3118_035,axiom,
( X1 != X2
| hAPP_nat_nat(X1,X3) = hAPP_nat_nat(X2,X3) ) ).
cnf(i_0_3119_036,axiom,
( X1 != X2
| hAPP_nat_nat(X3,X1) = hAPP_nat_nat(X3,X2) ) ).
cnf(i_0_3120_037,axiom,
( X1 != X2
| hAPP_b1013836512t_bool(X1,X3) = hAPP_b1013836512t_bool(X2,X3) ) ).
cnf(i_0_3121_038,axiom,
( X1 != X2
| hAPP_b1013836512t_bool(X3,X1) = hAPP_b1013836512t_bool(X3,X2) ) ).
cnf(i_0_3122_039,axiom,
( X1 != X2
| hAPP_A1948275303t_bool(X1,X3) = hAPP_A1948275303t_bool(X2,X3) ) ).
cnf(i_0_3123_040,axiom,
( X1 != X2
| hAPP_A1948275303t_bool(X3,X1) = hAPP_A1948275303t_bool(X3,X2) ) ).
cnf(i_0_3124_041,axiom,
( X1 != X2
| hAPP_f1378099862l_bool(X1,X3) = hAPP_f1378099862l_bool(X2,X3) ) ).
cnf(i_0_3125_042,axiom,
( X1 != X2
| hAPP_f1378099862l_bool(X3,X1) = hAPP_f1378099862l_bool(X3,X2) ) ).
cnf(i_0_3126_043,axiom,
( X1 != X2
| hAPP_n1006566506l_bool(X1,X3) = hAPP_n1006566506l_bool(X2,X3) ) ).
cnf(i_0_3127_044,axiom,
( X1 != X2
| hAPP_n1006566506l_bool(X3,X1) = hAPP_n1006566506l_bool(X3,X2) ) ).
cnf(i_0_3128_045,axiom,
( X1 != X2
| hAPP_f431432850i_bool(X1,X3) = hAPP_f431432850i_bool(X2,X3) ) ).
cnf(i_0_3129_046,axiom,
( X1 != X2
| hAPP_f431432850i_bool(X3,X1) = hAPP_f431432850i_bool(X3,X2) ) ).
cnf(i_0_3130_047,axiom,
( X1 != X2
| hAPP_A1561816353le_alt(X1,X3) = hAPP_A1561816353le_alt(X2,X3) ) ).
cnf(i_0_3131_048,axiom,
( X1 != X2
| hAPP_A1561816353le_alt(X3,X1) = hAPP_A1561816353le_alt(X3,X2) ) ).
cnf(i_0_3132_049,axiom,
( X1 != X2
| hilber195283148at_nat(X1,X3) = hilber195283148at_nat(X2,X3) ) ).
cnf(i_0_3133_050,axiom,
( X1 != X2
| hilber195283148at_nat(X3,X1) = hilber195283148at_nat(X3,X2) ) ).
cnf(i_0_3134_051,axiom,
( X1 != X2
| esk38_2(X1,X3) = esk38_2(X2,X3) ) ).
cnf(i_0_3135_052,axiom,
( X1 != X2
| esk38_2(X3,X1) = esk38_2(X3,X2) ) ).
cnf(i_0_3136_053,axiom,
( X1 != X2
| esk37_2(X1,X3) = esk37_2(X2,X3) ) ).
cnf(i_0_3137_054,axiom,
( X1 != X2
| esk37_2(X3,X1) = esk37_2(X3,X2) ) ).
cnf(i_0_3138_055,axiom,
( X1 != X2
| esk71_2(X1,X3) = esk71_2(X2,X3) ) ).
cnf(i_0_3139_056,axiom,
( X1 != X2
| esk71_2(X3,X1) = esk71_2(X3,X2) ) ).
cnf(i_0_3140_057,axiom,
( X1 != X2
| esk70_2(X1,X3) = esk70_2(X2,X3) ) ).
cnf(i_0_3141_058,axiom,
( X1 != X2
| esk70_2(X3,X1) = esk70_2(X3,X2) ) ).
cnf(i_0_3142_059,axiom,
( X1 != X2
| esk30_2(X1,X3) = esk30_2(X2,X3) ) ).
cnf(i_0_3143_060,axiom,
( X1 != X2
| esk30_2(X3,X1) = esk30_2(X3,X2) ) ).
cnf(i_0_3144_061,axiom,
( X1 != X2
| esk29_2(X1,X3) = esk29_2(X2,X3) ) ).
cnf(i_0_3145_062,axiom,
( X1 != X2
| esk29_2(X3,X1) = esk29_2(X3,X2) ) ).
cnf(i_0_3146_063,axiom,
( X1 != X2
| esk73_2(X1,X3) = esk73_2(X2,X3) ) ).
cnf(i_0_3147_064,axiom,
( X1 != X2
| esk73_2(X3,X1) = esk73_2(X3,X2) ) ).
cnf(i_0_3148_065,axiom,
( X1 != X2
| esk72_2(X1,X3) = esk72_2(X2,X3) ) ).
cnf(i_0_3149_066,axiom,
( X1 != X2
| esk72_2(X3,X1) = esk72_2(X3,X2) ) ).
cnf(i_0_3150_067,axiom,
( X1 != X2
| esk32_2(X1,X3) = esk32_2(X2,X3) ) ).
cnf(i_0_3151_068,axiom,
( X1 != X2
| esk32_2(X3,X1) = esk32_2(X3,X2) ) ).
cnf(i_0_3152_069,axiom,
( X1 != X2
| esk31_2(X1,X3) = esk31_2(X2,X3) ) ).
cnf(i_0_3153_070,axiom,
( X1 != X2
| esk31_2(X3,X1) = esk31_2(X3,X2) ) ).
cnf(i_0_3154_071,axiom,
( X1 != X2
| hAPP_f446648900l_bool(X1,X3) = hAPP_f446648900l_bool(X2,X3) ) ).
cnf(i_0_3155_072,axiom,
( X1 != X2
| hAPP_f446648900l_bool(X3,X1) = hAPP_f446648900l_bool(X3,X2) ) ).
cnf(i_0_3156_073,axiom,
( X1 != X2
| hAPP_P1676879539t_bool(X1,X3) = hAPP_P1676879539t_bool(X2,X3) ) ).
cnf(i_0_3157_074,axiom,
( X1 != X2
| hAPP_P1676879539t_bool(X3,X1) = hAPP_P1676879539t_bool(X3,X2) ) ).
cnf(i_0_3158_075,axiom,
( X1 != X2
| hAPP_A1906804694t_bool(X1,X3) = hAPP_A1906804694t_bool(X2,X3) ) ).
cnf(i_0_3159_076,axiom,
( X1 != X2
| hAPP_A1906804694t_bool(X3,X1) = hAPP_A1906804694t_bool(X3,X2) ) ).
cnf(i_0_3160_077,axiom,
( X1 != X2
| hAPP_f1000663785t_bool(X1,X3) = hAPP_f1000663785t_bool(X2,X3) ) ).
cnf(i_0_3161_078,axiom,
( X1 != X2
| hAPP_f1000663785t_bool(X3,X1) = hAPP_f1000663785t_bool(X3,X2) ) ).
cnf(i_0_3162_079,axiom,
( X1 != X2
| hAPP_A725195434t_bool(X1,X3) = hAPP_A725195434t_bool(X2,X3) ) ).
cnf(i_0_3163_080,axiom,
( X1 != X2
| hAPP_A725195434t_bool(X3,X1) = hAPP_A725195434t_bool(X3,X2) ) ).
cnf(i_0_3164_081,axiom,
( X1 != X2
| hAPP_A1781286015t_bool(X1,X3) = hAPP_A1781286015t_bool(X2,X3) ) ).
cnf(i_0_3165_082,axiom,
( X1 != X2
| hAPP_A1781286015t_bool(X3,X1) = hAPP_A1781286015t_bool(X3,X2) ) ).
cnf(i_0_3166_083,axiom,
( X1 != X2
| hAPP_f1068593625t_bool(X1,X3) = hAPP_f1068593625t_bool(X2,X3) ) ).
cnf(i_0_3167_084,axiom,
( X1 != X2
| hAPP_f1068593625t_bool(X3,X1) = hAPP_f1068593625t_bool(X3,X2) ) ).
cnf(i_0_3168_085,axiom,
( X1 != X2
| hAPP_A64811457t_bool(X1,X3) = hAPP_A64811457t_bool(X2,X3) ) ).
cnf(i_0_3169_086,axiom,
( X1 != X2
| hAPP_A64811457t_bool(X3,X1) = hAPP_A64811457t_bool(X3,X2) ) ).
cnf(i_0_3170_087,axiom,
( X1 != X2
| hAPP_A85603248t_bool(X1,X3) = hAPP_A85603248t_bool(X2,X3) ) ).
cnf(i_0_3171_088,axiom,
( X1 != X2
| hAPP_A85603248t_bool(X3,X1) = hAPP_A85603248t_bool(X3,X2) ) ).
cnf(i_0_3172_089,axiom,
( X1 != X2
| hAPP_A1202525278t_bool(X1,X3) = hAPP_A1202525278t_bool(X2,X3) ) ).
cnf(i_0_3173_090,axiom,
( X1 != X2
| hAPP_A1202525278t_bool(X3,X1) = hAPP_A1202525278t_bool(X3,X2) ) ).
cnf(i_0_3174_091,axiom,
( X1 != X2
| hAPP_A1120018583t_bool(X1,X3) = hAPP_A1120018583t_bool(X2,X3) ) ).
cnf(i_0_3175_092,axiom,
( X1 != X2
| hAPP_A1120018583t_bool(X3,X1) = hAPP_A1120018583t_bool(X3,X2) ) ).
cnf(i_0_3176_093,axiom,
( X1 != X2
| hAPP_f372913425t_bool(X1,X3) = hAPP_f372913425t_bool(X2,X3) ) ).
cnf(i_0_3177_094,axiom,
( X1 != X2
| hAPP_f372913425t_bool(X3,X1) = hAPP_f372913425t_bool(X3,X2) ) ).
cnf(i_0_3178_095,axiom,
( X1 != X2
| hAPP_A433435097l_bool(X1,X3) = hAPP_A433435097l_bool(X2,X3) ) ).
cnf(i_0_3179_096,axiom,
( X1 != X2
| hAPP_A433435097l_bool(X3,X1) = hAPP_A433435097l_bool(X3,X2) ) ).
cnf(i_0_3180_097,axiom,
( X1 != X2
| hAPP_b910261233t_bool(X1,X3) = hAPP_b910261233t_bool(X2,X3) ) ).
cnf(i_0_3181_098,axiom,
( X1 != X2
| hAPP_b910261233t_bool(X3,X1) = hAPP_b910261233t_bool(X3,X2) ) ).
cnf(i_0_3182_099,axiom,
( X1 != X2
| hAPP_nat_bool(X1,X3) = hAPP_nat_bool(X2,X3) ) ).
cnf(i_0_3183_100,axiom,
( X1 != X2
| hAPP_nat_bool(X3,X1) = hAPP_nat_bool(X3,X2) ) ).
cnf(i_0_3184_101,axiom,
( X1 != X2
| hAPP_A643475905l_bool(X1,X3) = hAPP_A643475905l_bool(X2,X3) ) ).
cnf(i_0_3185_102,axiom,
( X1 != X2
| hAPP_A643475905l_bool(X3,X1) = hAPP_A643475905l_bool(X3,X2) ) ).
cnf(i_0_3186_103,axiom,
( X1 != X2
| hAPP_f1656652505l_bool(X1,X3) = hAPP_f1656652505l_bool(X2,X3) ) ).
cnf(i_0_3187_104,axiom,
( X1 != X2
| hAPP_f1656652505l_bool(X3,X1) = hAPP_f1656652505l_bool(X3,X2) ) ).
cnf(i_0_3188_105,axiom,
( X1 != X2
| esk39_1(X1) = esk39_1(X2) ) ).
cnf(i_0_3189_106,axiom,
( X1 != X2
| esk40_1(X1) = esk40_1(X2) ) ).
cnf(i_0_3190_107,axiom,
( X1 != X2
| esk41_1(X1) = esk41_1(X2) ) ).
cnf(i_0_3191_108,axiom,
( X1 != X2
| esk42_1(X1) = esk42_1(X2) ) ).
cnf(i_0_3192_109,axiom,
( X1 != X2
| hAPP_f1332130404l_bool(X1,X3) = hAPP_f1332130404l_bool(X2,X3) ) ).
cnf(i_0_3193_110,axiom,
( X1 != X2
| hAPP_f1332130404l_bool(X3,X1) = hAPP_f1332130404l_bool(X3,X2) ) ).
cnf(i_0_3194_111,axiom,
( X1 != X2
| image_837079859di_nat(X1,X3) = image_837079859di_nat(X2,X3) ) ).
cnf(i_0_3195_112,axiom,
( X1 != X2
| image_837079859di_nat(X3,X1) = image_837079859di_nat(X3,X2) ) ).
cnf(i_0_3196_113,axiom,
( X1 != X2
| hAPP_n1699378549t_bool(X1,X3) = hAPP_n1699378549t_bool(X2,X3) ) ).
cnf(i_0_3197_114,axiom,
( X1 != X2
| hAPP_n1699378549t_bool(X3,X1) = hAPP_n1699378549t_bool(X3,X2) ) ).
cnf(i_0_3198_115,axiom,
( X1 != X2
| collec1376511890le_alt(X1) = collec1376511890le_alt(X2) ) ).
cnf(i_0_3199_116,axiom,
( X1 != X2
| collec612883262t_bool(X1) = collec612883262t_bool(X2) ) ).
cnf(i_0_3200_117,axiom,
( X1 != X2
| collec1517527055t_bool(X1) = collec1517527055t_bool(X2) ) ).
cnf(i_0_3201_118,axiom,
( X1 != X2
| collec1567922785t_bool(X1) = collec1567922785t_bool(X2) ) ).
cnf(i_0_3202_119,axiom,
( X1 != X2
| collect_Product_unit(X1) = collect_Product_unit(X2) ) ).
cnf(i_0_3203_120,axiom,
( X1 != X2
| collec279390863e_indi(X1) = collec279390863e_indi(X2) ) ).
cnf(i_0_3204_121,axiom,
( X1 != X2
| finite1949902593t_unit(X1) = finite1949902593t_unit(X2) ) ).
cnf(i_0_3205_122,axiom,
( X1 != X2
| hAPP_f1817389232t_bool(X1,X3) = hAPP_f1817389232t_bool(X2,X3) ) ).
cnf(i_0_3206_123,axiom,
( X1 != X2
| hAPP_f1817389232t_bool(X3,X1) = hAPP_f1817389232t_bool(X3,X2) ) ).
cnf(i_0_3207_124,axiom,
( X1 != X2
| hAPP_A1895296483di_nat(X1,X3) = hAPP_A1895296483di_nat(X2,X3) ) ).
cnf(i_0_3208_125,axiom,
( X1 != X2
| hAPP_A1895296483di_nat(X3,X1) = hAPP_A1895296483di_nat(X3,X2) ) ).
cnf(i_0_3209_126,axiom,
( X1 != X2
| hAPP_A1014090479t_bool(X1,X3) = hAPP_A1014090479t_bool(X2,X3) ) ).
cnf(i_0_3210_127,axiom,
( X1 != X2
| hAPP_A1014090479t_bool(X3,X1) = hAPP_A1014090479t_bool(X3,X2) ) ).
cnf(i_0_3211_128,axiom,
( X1 != X2
| hAPP_f102394819t_bool(X1,X3) = hAPP_f102394819t_bool(X2,X3) ) ).
cnf(i_0_3212_129,axiom,
( X1 != X2
| hAPP_f102394819t_bool(X3,X1) = hAPP_f102394819t_bool(X3,X2) ) ).
cnf(i_0_3213_130,axiom,
( X1 != X2
| hAPP_A28770973t_bool(X1,X3) = hAPP_A28770973t_bool(X2,X3) ) ).
cnf(i_0_3214_131,axiom,
( X1 != X2
| hAPP_A28770973t_bool(X3,X1) = hAPP_A28770973t_bool(X3,X2) ) ).
cnf(i_0_3215_132,axiom,
( X1 != X2
| hAPP_f684072049t_bool(X1,X3) = hAPP_f684072049t_bool(X2,X3) ) ).
cnf(i_0_3216_133,axiom,
( X1 != X2
| hAPP_f684072049t_bool(X3,X1) = hAPP_f684072049t_bool(X3,X2) ) ).
cnf(i_0_3217_134,axiom,
( X1 != X2
| hAPP_f560517119l_bool(X1,X3) = hAPP_f560517119l_bool(X2,X3) ) ).
cnf(i_0_3218_135,axiom,
( X1 != X2
| hAPP_f560517119l_bool(X3,X1) = hAPP_f560517119l_bool(X3,X2) ) ).
cnf(i_0_3219_136,axiom,
( X1 != X2
| pi_Pro1873779901t_bool(X1,X3) = pi_Pro1873779901t_bool(X2,X3) ) ).
cnf(i_0_3220_137,axiom,
( X1 != X2
| pi_Pro1873779901t_bool(X3,X1) = pi_Pro1873779901t_bool(X3,X2) ) ).
cnf(i_0_3221_138,axiom,
( X1 != X2
| hAPP_P1813625415t_bool(X1,X3) = hAPP_P1813625415t_bool(X2,X3) ) ).
cnf(i_0_3222_139,axiom,
( X1 != X2
| hAPP_P1813625415t_bool(X3,X1) = hAPP_P1813625415t_bool(X3,X2) ) ).
cnf(i_0_3223_140,axiom,
( X1 != X2
| hAPP_A340536322t_bool(X1,X3) = hAPP_A340536322t_bool(X2,X3) ) ).
cnf(i_0_3224_141,axiom,
( X1 != X2
| hAPP_A340536322t_bool(X3,X1) = hAPP_A340536322t_bool(X3,X2) ) ).
cnf(i_0_3225_142,axiom,
( X1 != X2
| finite_card_nat(X1) = finite_card_nat(X2) ) ).
cnf(i_0_3226_143,axiom,
( X1 != X2
| hAPP_f54304608l_bool(X1,X3) = hAPP_f54304608l_bool(X2,X3) ) ).
cnf(i_0_3227_144,axiom,
( X1 != X2
| hAPP_f54304608l_bool(X3,X1) = hAPP_f54304608l_bool(X3,X2) ) ).
cnf(i_0_3228_145,axiom,
( X1 != X2
| hAPP_n215258509l_bool(X1,X3) = hAPP_n215258509l_bool(X2,X3) ) ).
cnf(i_0_3229_146,axiom,
( X1 != X2
| hAPP_n215258509l_bool(X3,X1) = hAPP_n215258509l_bool(X3,X2) ) ).
cnf(i_0_3230_147,axiom,
( X1 != X2
| hAPP_f387058535l_bool(X1,X3) = hAPP_f387058535l_bool(X2,X3) ) ).
cnf(i_0_3231_148,axiom,
( X1 != X2
| hAPP_f387058535l_bool(X3,X1) = hAPP_f387058535l_bool(X3,X2) ) ).
cnf(i_0_3232_149,axiom,
( X1 != X2
| hAPP_f147218624l_bool(X1,X3) = hAPP_f147218624l_bool(X2,X3) ) ).
cnf(i_0_3233_150,axiom,
( X1 != X2
| hAPP_f147218624l_bool(X3,X1) = hAPP_f147218624l_bool(X3,X2) ) ).
cnf(i_0_3234_151,axiom,
( X1 != X2
| hAPP_P1122857141l_bool(X1,X3) = hAPP_P1122857141l_bool(X2,X3) ) ).
cnf(i_0_3235_152,axiom,
( X1 != X2
| hAPP_P1122857141l_bool(X3,X1) = hAPP_P1122857141l_bool(X3,X2) ) ).
cnf(i_0_3236_153,axiom,
( X1 != X2
| hAPP_f322109294l_bool(X1,X3) = hAPP_f322109294l_bool(X2,X3) ) ).
cnf(i_0_3237_154,axiom,
( X1 != X2
| hAPP_f322109294l_bool(X3,X1) = hAPP_f322109294l_bool(X3,X2) ) ).
cnf(i_0_3238_155,axiom,
( X1 != X2
| pi_fun1555365306t_bool(X1,X3) = pi_fun1555365306t_bool(X2,X3) ) ).
cnf(i_0_3239_156,axiom,
( X1 != X2
| pi_fun1555365306t_bool(X3,X1) = pi_fun1555365306t_bool(X3,X2) ) ).
cnf(i_0_3240_157,axiom,
( X1 != X2
| hAPP_f1895971544l_bool(X1,X3) = hAPP_f1895971544l_bool(X2,X3) ) ).
cnf(i_0_3241_158,axiom,
( X1 != X2
| hAPP_f1895971544l_bool(X3,X1) = hAPP_f1895971544l_bool(X3,X2) ) ).
cnf(i_0_3242_159,axiom,
( X1 != X2
| pi_Arr1801471756t_bool(X1,X3) = pi_Arr1801471756t_bool(X2,X3) ) ).
cnf(i_0_3243_160,axiom,
( X1 != X2
| pi_Arr1801471756t_bool(X3,X1) = pi_Arr1801471756t_bool(X3,X2) ) ).
cnf(i_0_3244_161,axiom,
( X1 != X2
| hAPP_A659996934l_bool(X1,X3) = hAPP_A659996934l_bool(X2,X3) ) ).
cnf(i_0_3245_162,axiom,
( X1 != X2
| hAPP_A659996934l_bool(X3,X1) = hAPP_A659996934l_bool(X3,X2) ) ).
cnf(i_0_3246_163,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_3247_164,axiom,
( X1 != X2
| ~ is_fun292781289l_bool(X1)
| is_fun292781289l_bool(X2) ) ).
cnf(i_0_3248_165,axiom,
( X1 != X2
| ~ is_fun701126715l_bool(X1)
| is_fun701126715l_bool(X2) ) ).
cnf(i_0_3249_166,axiom,
( X1 != X2
| ~ is_Arr723427730le_alt(X1)
| is_Arr723427730le_alt(X2) ) ).
cnf(i_0_3250_167,axiom,
( X1 != X2
| ~ is_Arr859726945e_indi(X1)
| is_Arr859726945e_indi(X2) ) ).
cnf(i_0_3251_168,axiom,
( X1 != X2
| ~ is_fun20916972t_bool(X1)
| is_fun20916972t_bool(X2) ) ).
cnf(i_0_3252_169,axiom,
( X1 != X2
| ~ is_fun1084921220e_indi(X1)
| is_fun1084921220e_indi(X2) ) ).
cnf(i_0_3253_170,axiom,
( X1 != X2
| ~ is_fun1568535512t_bool(X1)
| is_fun1568535512t_bool(X2) ) ).
cnf(i_0_3254_171,axiom,
( X1 != X2
| ~ is_fun2015243113i_bool(X1)
| is_fun2015243113i_bool(X2) ) ).
cnf(i_0_3255_172,axiom,
( X1 != X2
| ~ is_bool(X1)
| is_bool(X2) ) ).
cnf(i_0_3256_173,axiom,
( X1 != X2
| ~ is_fun1420103068l_bool(X1)
| is_fun1420103068l_bool(X2) ) ).
cnf(i_0_3257,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X3 = X2
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X4))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X1),X2))) ),
inference(equality_inference,[],[1902]) ).
cnf(i_0_3258,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X1 = X3
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X4))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X1),X2))) ),
inference(equality_inference,[],[1903]) ).
cnf(i_0_3259,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X1 = X3
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),arrow_207701375_below(X4,X1,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X4)) ),
inference(equality_inference,[],[1916]) ).
cnf(i_0_3260,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X3 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),arrow_207701375_below(X4,X1,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
inference(equality_inference,[],[1917]) ).
cnf(i_0_3261,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X3 = X1
| X3 = X2
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X1),X2))) ),
inference(equality_inference,[],[1937]) ).
cnf(i_0_3262,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| X3 = X1
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X3),X1))) ),
inference(equality_inference,[],[1939]) ).
cnf(i_0_3263,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X3 = X2
| X3 = X2
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),X4))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X1),X2))) ),
inference(equality_inference,[],[1948]) ).
cnf(i_0_3264,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X1 = X2
| X1 = X3
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X4))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X1),X2))) ),
inference(equality_inference,[],[1949]) ).
cnf(i_0_3265,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X2 = X3
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X4))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X1),X2))) ),
inference(equality_inference,[],[1951]) ).
cnf(i_0_3266,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X3 = X2
| X3 = X1
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),arrow_207701375_below(X4,X1,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X4)) ),
inference(equality_inference,[],[1952]) ).
cnf(i_0_3267,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| X2 = X3
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),arrow_207701375_below(X4,X2,X3)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),X4)) ),
inference(equality_inference,[],[1954]) ).
cnf(i_0_3268,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X3 = X1
| X1 = X3
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X3)),arrow_207701375_below(X4,X1,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X4)) ),
inference(equality_inference,[],[1959]) ).
cnf(i_0_3269,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X2 = X1
| X3 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),arrow_207701375_below(X4,X1,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
inference(equality_inference,[],[1960]) ).
cnf(i_0_3270,plain,
( X1 = X2
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X3 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),arrow_207701375_below(X4,X1,X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4)) ),
inference(equality_inference,[],[1962]) ).
cnf(i_0_3271,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| X2 = X3
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_1046586475_above,X4),X2),X3))) ),
inference(equality_inference,[],[1965]) ).
cnf(i_0_3272,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| X2 = X3
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X1)),arrow_207701375_below(X4,X2,X3)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin)) ),
inference(equality_inference,[],[1975]) ).
cnf(i_0_3273,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X3),X1))) ),
inference(equality_inference,[],[2004]) ).
cnf(i_0_3274,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X2)
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X3),X2))) ),
inference(equality_inference,[],[2005]) ).
cnf(i_0_3275,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| X1 = X2
| X2 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_163947511_mkbot,X3),X1))) ),
inference(equality_inference,[],[2116]) ).
cnf(i_0_3276,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X2)
| X1 = X2
| X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X1),X2)),hAPP_A1014090479t_bool(hAPP_f102394819t_bool(arrow_312654597_mktop,X3),X2))) ),
inference(equality_inference,[],[2117]) ).
cnf(i_0_3277,plain,
( ~ is_Arr859726945e_indi(X1)
| ~ is_Arr859726945e_indi(X1)
| X1 = X1
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X3)) ),
inference(equality_inference,[],[2146]) ).
cnf(i_0_3278,plain,
( X1 = X1
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)) ),
inference(equality_inference,[],[2159]) ).
cnf(i_0_3279,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))) ),
inference(equality_inference,[],[2309]) ).
cnf(i_0_3280,plain,
( ~ is_Arr859726945e_indi(X1)
| hAPP_n619554777e_indi(hilber951314860di_nat(X2,X3),hAPP_A1895296483di_nat(X3,X1)) = X1
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X3),X2))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),X2)) ),
inference(equality_inference,[],[2313]) ).
cnf(i_0_3281,plain,
( hAPP_nat_nat(hilber195283148at_nat(X1,X2),hAPP_nat_nat(X2,X3)) = X3
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),X1))
| ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1)) ),
inference(equality_inference,[],[2329]) ).
cnf(i_0_3282,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2)))),
inference(equality_inference,[],[2450]) ).
cnf(i_0_3283,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X1 = X1 ),
inference(equality_inference,[],[2566]) ).
cnf(i_0_3284,plain,
( ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| X2 = X2 ),
inference(equality_inference,[],[2568]) ).
cnf(i_0_3285,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X1),X2))),
inference(equality_inference,[],[2577]) ).
cnf(i_0_3286,plain,
( ~ is_Arr859726945e_indi(X1)
| hAPP_n619554777e_indi(hilber951314860di_nat(top_to207207712i_bool,X2),hAPP_A1895296483di_nat(X2,X1)) = X1
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),top_to207207712i_bool)) ),
inference(equality_inference,[],[2583]) ).
cnf(i_0_3287,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X1))),
inference(equality_inference,[],[2606]) ).
cnf(i_0_3288,plain,
( ~ is_fun20916972t_bool(top_to1773227171t_bool)
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le2113500159t_bool,top_to1773227171t_bool),top_to1773227171t_bool)) ),
inference(equality_inference,[],[2610]) ).
cnf(i_0_3289,plain,
( ~ is_fun1420103068l_bool(top_to846262053l_bool)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1260664009l_bool,top_to846262053l_bool),top_to846262053l_bool)) ),
inference(equality_inference,[],[2611]) ).
cnf(i_0_3290,plain,
( ~ is_fun292781289l_bool(top_to1849101472l_bool)
| ~ hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le1141238780l_bool,top_to1849101472l_bool),top_to1849101472l_bool)) ),
inference(equality_inference,[],[2612]) ).
cnf(i_0_3291,plain,
( ~ is_fun701126715l_bool(top_to935749874l_bool)
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le194694222l_bool,top_to935749874l_bool),top_to935749874l_bool)) ),
inference(equality_inference,[],[2613]) ).
cnf(i_0_3292,plain,
( hAPP_nat_nat(hilber195283148at_nat(top_top_fun_nat_bool,X1),hAPP_nat_nat(X1,X2)) = X2
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X1),top_top_fun_nat_bool)) ),
inference(equality_inference,[],[2616]) ).
cnf(i_0_3293,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1))),
inference(equality_inference,[],[2617]) ).
cnf(i_0_3294,plain,
~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X1)),
inference(equality_inference,[],[2629]) ).
cnf(i_0_3295,plain,
~ hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1976645739t_bool,X1),X1)),
inference(equality_inference,[],[2630]) ).
cnf(i_0_3296,plain,
~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X1)),
inference(equality_inference,[],[2634]) ).
cnf(i_0_3297,plain,
~ hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X1),X1)),
inference(equality_inference,[],[2635]) ).
cnf(i_0_3298,plain,
~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X1)),
inference(equality_inference,[],[2637]) ).
cnf(i_0_3299,plain,
~ hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1791992956i_bool,X1),X1)),
inference(equality_inference,[],[2638]) ).
cnf(i_0_3300,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(equality_inference,[],[2649]) ).
cnf(i_0_3301,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(equality_inference,[],[2650]) ).
cnf(i_0_3302,plain,
( ~ is_Arr859726945e_indi(X1)
| ~ is_Arr859726945e_indi(X1)
| X1 = X1
| ~ hBOOL(hAPP_f160177134l_bool(inj_on1331630279di_nat(X2),top_to207207712i_bool)) ),
inference(equality_inference,[],[2652]) ).
cnf(i_0_3303,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)),
inference(equality_inference,[],[2658]) ).
cnf(i_0_3304,plain,
X1 = X1,
inference(equality_inference,[],[2685]) ).
cnf(i_0_3305,plain,
X1 = X1,
inference(equality_inference,[],[2689]) ).
cnf(i_0_3306,plain,
( X1 = X1
| ~ hBOOL(hAPP_f54304608l_bool(inj_on_nat_nat(X2),top_top_fun_nat_bool)) ),
inference(equality_inference,[],[2709]) ).
cnf(i_0_3307,plain,
( ~ is_fun1568535512t_bool(X1)
| ~ is_fun1568535512t_bool(X1)
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,X1),X1)) ),
inference(equality_inference,[],[2720]) ).
cnf(i_0_3308,plain,
( ~ is_fun2015243113i_bool(X1)
| ~ is_fun2015243113i_bool(X1)
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,X1),X1)) ),
inference(equality_inference,[],[2722]) ).
cnf(i_0_3309,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1))),
inference(equality_inference,[],[2733]) ).
cnf(i_0_3310,plain,
hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
inference(equality_inference,[],[2774]) ).
cnf(i_0_3311,plain,
hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)),
inference(equality_inference,[],[2775]) ).
cnf(i_0_3312,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(equality_inference,[],[2781]) ).
cnf(i_0_3313,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)),
inference(equality_inference,[],[2782]) ).
cnf(i_0_3314,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X1)),
inference(equality_inference,[],[2783]) ).
cnf(i_0_3315,plain,
( ~ is_fun20916972t_bool(top_to1773227171t_bool)
| hBOOL(hAPP_f1733357041l_bool(hAPP_f1344932147l_bool(ord_le64728819t_bool,top_to1773227171t_bool),top_to1773227171t_bool)) ),
inference(equality_inference,[],[2784]) ).
cnf(i_0_3316,plain,
( ~ is_fun1420103068l_bool(top_to846262053l_bool)
| hBOOL(hAPP_f560517119l_bool(hAPP_f1700034367l_bool(ord_le1079191765l_bool,top_to846262053l_bool),top_to846262053l_bool)) ),
inference(equality_inference,[],[2785]) ).
cnf(i_0_3317,plain,
( ~ is_fun292781289l_bool(top_to1849101472l_bool)
| hBOOL(hAPP_f322109294l_bool(hAPP_f1216491309l_bool(ord_le2143686384l_bool,top_to1849101472l_bool),top_to1849101472l_bool)) ),
inference(equality_inference,[],[2786]) ).
cnf(i_0_3318,plain,
( ~ is_fun701126715l_bool(top_to935749874l_bool)
| hBOOL(hAPP_f147218624l_bool(hAPP_f1547458257l_bool(ord_le1482529602l_bool,top_to935749874l_bool),top_to935749874l_bool)) ),
inference(equality_inference,[],[2787]) ).
cnf(i_0_3319,plain,
( ~ is_fun1568535512t_bool(top_to1257323279t_bool)
| hBOOL(hAPP_f2028818269l_bool(hAPP_f272527115l_bool(ord_le1874503007t_bool,top_to1257323279t_bool),top_to1257323279t_bool)) ),
inference(equality_inference,[],[2788]) ).
cnf(i_0_3320,plain,
( ~ is_fun2015243113i_bool(top_to207207712i_bool)
| hBOOL(hAPP_f160177134l_bool(hAPP_f563440173l_bool(ord_le1028202352i_bool,top_to207207712i_bool),top_to207207712i_bool)) ),
inference(equality_inference,[],[2789]) ).
cnf(i_0_3321,plain,
X1 = X1,
inference(equality_inference,[],[2892]) ).
cnf(i_0_3322,plain,
$false,
inference(scs_inference,[],[i_0_2072,i_0_1815,i_0_1811]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT171+2 : TPTP v9.2.1. Released v5.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:00:51 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.89/1.78 % Version : CSE_E---1.7
% 1.89/1.78 % Problem : theBenchmark.p
% 1.89/1.78 % SZS status Theorem for theBenchmark.p
% 1.89/1.78 % SZS output start CNFRefutation
% See solution above
% 2.02/1.90 % Total time : 1.432s
%------------------------------------------------------------------------------