%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SCT171+1 : TPTP v9.2.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 05:06:17 PM UTC 2026
% Result : Theorem 0.78s 1.67s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 700)
% Comments :
%------------------------------------------------------------------------------
fof(fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am,axiom,
! [X13] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X13)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> ( ( hAPP_A588601142di_nat(h,X13) = n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X13)),c),e))) )
& ( hAPP_A588601142di_nat(h,X13) != n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X13)),e))) ) ) ) )
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192__096ALL_Ai_O_A_Ie_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,
! [X13] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X13)))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X13)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> ( ( hAPP_A588601142di_nat(h,X13) = n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X13)),c),e))) )
& ( hAPP_A588601142di_nat(h,X13) != n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X13)),e))) ) ) ) ) ),
file('/export/starexec/sandbox/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_119_notin__Lin__iff,axiom,
! [X3,X4,X5] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4) )
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( X3 != X4
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_notin__Lin__iff) ).
fof(fact_118_Lin__irrefl,axiom,
! [X11,X12,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),X5))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_Lin__irrefl) ).
fof(fact_135_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,X73)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),hAPP_b1024867081t_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_PiE) ).
fof(fact_134_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,X73)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),hAPP_A1374816149t_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_PiE) ).
fof(fact_148_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),hAPP_f861484971l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_PiE) ).
fof(fact_140_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),hAPP_b1965422783l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_PiE) ).
fof(fact_149_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),hAPP_A1944296755l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_PiE) ).
fof(fact_139_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),hAPP_b990649139l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_PiE) ).
fof(fact_138_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),hAPP_A1964572607l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_PiE) ).
fof(fact_137_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),hAPP_b1719629739l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_PiE) ).
fof(fact_136_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),hAPP_A1912483895l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_PiE) ).
fof(fact_133_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),hAPP_P2127852789l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_PiE) ).
fof(fact_147_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),hAPP_f417299659l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_PiE) ).
fof(fact_145_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),hAPP_f497468491l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_PiE) ).
fof(fact_143_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),hAPP_f313042899l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_PiE) ).
fof(fact_141_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),hAPP_P907763049i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_PiE) ).
fof(fact_146_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),hAPP_f352490559i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_PiE) ).
fof(fact_144_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),hAPP_f355113919i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_PiE) ).
fof(fact_142_PiE,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),hAPP_f749892423i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_PiE) ).
fof(fact_80_order__less__not__sym,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_order__less__not__sym) ).
fof(fact_78_order__less__imp__not__less,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_order__less__imp__not__less) ).
fof(fact_70_order__less__asym_H,axiom,
! [X11,X12] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_order__less__asym_H) ).
fof(fact_68_xt1_I9_J,axiom,
! [X12,X11] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_xt1_I9_J) ).
fof(fact_54_order__less__asym,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_order__less__asym) ).
fof(fact_87_not__less__iff__gr__or__eq,axiom,
! [X3,X4] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
| X3 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_not__less__iff__gr__or__eq) ).
fof(fact_81_order__less__not__sym,axiom,
! [X57,X58] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X57),X58))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X57)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_order__less__not__sym) ).
fof(fact_79_order__less__imp__not__less,axiom,
! [X55,X56] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X56))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X56),X55)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_order__less__imp__not__less) ).
fof(fact_71_order__less__asym_H,axiom,
! [X49,X50] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X49),X50))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X49)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_order__less__asym_H) ).
fof(fact_69_xt1_I9_J,axiom,
! [X47,X48] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X47),X48))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X48),X47)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_xt1_I9_J) ).
fof(fact_55_order__less__asym,axiom,
! [X27,X28] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X27),X28))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X28),X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_order__less__asym) ).
fof(fact_85_linorder__antisym__conv3,axiom,
! [X4,X3] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
<=> X3 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_linorder__antisym__conv3) ).
fof(fact_84_linorder__neqE,axiom,
! [X61,X62] :
( X61 != X62
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X62))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X61)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_linorder__neqE) ).
fof(fact_53_linorder__cases,axiom,
! [X25,X26] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X25),X26))
=> ( X25 != X26
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X25)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_linorder__cases) ).
fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T,axiom,
! [X76,X77] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X76),X77))
| X76 = X77 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Nat__Onat_T) ).
fof(fact_89_order__less__irrefl,axiom,
! [X3] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_order__less__irrefl) ).
fof(fact_90_order__less__irrefl,axiom,
! [X65] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X65),X65)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_order__less__irrefl) ).
fof(fact_51_not__top__less,axiom,
! [X11] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_not__top__less) ).
fof(fact_47_not__top__less,axiom,
! [X11] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_not__top__less) ).
fof(fact_49_not__top__less,axiom,
! [X11] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_not__top__less) ).
fof(fact_48_not__top__less,axiom,
! [X11] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_not__top__less) ).
fof(fact_52_not__top__less,axiom,
! [X11] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_not__top__less) ).
fof(fact_50_not__top__less,axiom,
! [X11] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_not__top__less) ).
fof(fact_6__C2_C,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( X11 != X10
=> ( X12 != X9
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__C2_C) ).
fof(fact_7__C1_C,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( X11 != X10
=> ( X12 != X9
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7__C1_C) ).
fof(fact_9_pairwise__neutrality,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X9 != X10
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X9,X10)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_pairwise__neutrality) ).
fof(fact_23_IIA__def,axiom,
! [X22] :
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X22))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X24] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X24),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X24,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X24))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_IIA__def) ).
fof(fact_8__C4_C,axiom,
! [X7,X8,X14,X11,X12] :
( ( is_Arr553848933le_alt(X14)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( X12 != X14
=> ( X11 != X14
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X14)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X14)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__C4_C) ).
fof(fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),hAPP_f695124765t_bool(f,cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),lab),lba)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am) ).
fof(fact_14_PW,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).
fof(fact_10__C3_C,axiom,
! [X7,X8,X11,X12] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X8),arrow_413697182e_Prof))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X7),arrow_413697182e_Prof))
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_A1374816149t_bool(X8,X13)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),hAPP_A1374816149t_bool(X7,X13))) ) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),hAPP_f695124765t_bool(f,X8)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),hAPP_f695124765t_bool(f,X7))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10__C3_C) ).
fof(fact_24_unanimity__def,axiom,
! [X22] :
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X22))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( ! [X13] :
( is_Arr625519182e_indi(X13)
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X13))) )
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_unanimity__def) ).
fof(fact_151_PiProf,axiom,
! [X74] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),X74)),lab),lba)),arrow_413697182e_Prof)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_PiProf) ).
fof(fact_96_pred__equals__eq2,axiom,
! [X66,X67] :
( ( is_fun282293932t_bool(X66)
& is_fun282293932t_bool(X67) )
=> ( ! [X23,X24] :
( ( is_Arr553848933le_alt(X23)
& is_Arr553848933le_alt(X24) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X23,X24)),X67))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X23,X24)),X66)) ) )
<=> X67 = X66 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_pred__equals__eq2) ).
fof(fact_132_dictatorI,axiom,
! [X72,X22] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X22),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin))))
=> ( ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> ( X16 != X17
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_A1374816149t_bool(X23,X72)))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X16,X17)),hAPP_f695124765t_bool(X22,X23))) ) ) ) )
=> hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X22),X72)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_dictatorI) ).
fof(fact_131_in__above,axiom,
! [X3,X4,X5,X11,X12] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X11),X12)))
<=> ( X3 != X4
& ( X3 = X12
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X4)),X5)) )
& ( X3 != X12
=> ( ( X4 = X12
=> ( X3 = X11
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X11)),X5)) ) )
& ( X4 != X12
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_in__above) ).
fof(fact_129_above__Lin,axiom,
! [X5,X3,X4] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4) )
=> ( X3 != X4
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X3),X4)),arrow_1239002508le_Lin)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_above__Lin) ).
fof(fact_4_in__mkbot,axiom,
! [X3,X4,X5,X6] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X6) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X5),X6)))
<=> ( X4 != X6
& ( X3 = X6
=> X3 != X4 )
& ( X3 != X6
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_in__mkbot) ).
fof(fact_5_in__mktop,axiom,
! [X3,X4,X5,X6] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4)
& is_Arr553848933le_alt(X6) )
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X5),X6)))
<=> ( X3 != X6
& ( X4 = X6
=> X3 != X4 )
& ( X4 != X6
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_in__mktop) ).
fof(fact_179_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_funcset__mem) ).
fof(fact_178_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_funcset__mem) ).
fof(fact_185_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_funcset__mem) ).
fof(fact_184_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_funcset__mem) ).
fof(fact_186_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_funcset__mem) ).
fof(fact_183_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_funcset__mem) ).
fof(fact_182_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_funcset__mem) ).
fof(fact_181_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X73))))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_funcset__mem) ).
fof(fact_180_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X73))))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_funcset__mem) ).
fof(fact_170_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X73))))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_funcset__mem) ).
fof(fact_177_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X73))))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_funcset__mem) ).
fof(fact_175_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X73))))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_funcset__mem) ).
fof(fact_173_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_funcset__mem) ).
fof(fact_171_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X73))))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_funcset__mem) ).
fof(fact_176_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X73))))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_funcset__mem) ).
fof(fact_174_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X73))))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_funcset__mem) ).
fof(fact_172_funcset__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X73))))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),X73)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_funcset__mem) ).
fof(fact_161_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),hAPP_b1024867081t_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_Pi__mem) ).
fof(fact_160_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),hAPP_A1374816149t_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_Pi__mem) ).
fof(fact_167_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),hAPP_f861484971l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_Pi__mem) ).
fof(fact_166_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),hAPP_b1965422783l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_Pi__mem) ).
fof(fact_168_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),hAPP_A1944296755l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_Pi__mem) ).
fof(fact_165_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),hAPP_b990649139l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_Pi__mem) ).
fof(fact_164_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),hAPP_A1964572607l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_Pi__mem) ).
fof(fact_163_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,X73)))
=> ( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),hAPP_b1719629739l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_Pi__mem) ).
fof(fact_162_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,X73)))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),hAPP_A1912483895l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_Pi__mem) ).
fof(fact_152_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,X73)))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),hAPP_P2127852789l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_Pi__mem) ).
fof(fact_159_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,X73)))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),hAPP_f417299659l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_Pi__mem) ).
fof(fact_157_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,X73)))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),hAPP_f497468491l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_Pi__mem) ).
fof(fact_155_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),hAPP_f313042899l_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_Pi__mem) ).
fof(fact_153_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,X73)))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),hAPP_P907763049i_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_Pi__mem) ).
fof(fact_158_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,X73)))
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),hAPP_f352490559i_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_Pi__mem) ).
fof(fact_156_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,X73)))
=> ( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),hAPP_f355113919i_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_Pi__mem) ).
fof(fact_154_Pi__mem,axiom,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,X73)))
=> ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
=> hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),hAPP_f749892423i_bool(X73,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_Pi__mem) ).
fof(fact_127_mktop__Lin,axiom,
! [X3,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X5),X3)),arrow_1239002508le_Lin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_mktop__Lin) ).
fof(fact_128_mkbot__Lin,axiom,
! [X3,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X5),X3)),arrow_1239002508le_Lin)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_mkbot__Lin) ).
fof(fact_58_order__less__trans,axiom,
! [X6,X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X6))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_order__less__trans) ).
fof(fact_56_xt1_I10_J,axiom,
! [X6,X4,X3] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X4))
=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X6),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_xt1_I10_J) ).
fof(fact_59_order__less__trans,axiom,
! [X32,X33,X34] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X34))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),X32))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X33),X32)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_order__less__trans) ).
fof(fact_57_xt1_I10_J,axiom,
! [X29,X30,X31] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X30),X31))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X30))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X29),X31)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_xt1_I10_J) ).
fof(conj_0,conjecture,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_72_order__less__imp__triv,axiom,
! [X8,X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3))
=> hBOOL(X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_order__less__imp__triv) ).
fof(fact_73_order__less__imp__triv,axiom,
! [X8,X3,X4] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
=> hBOOL(X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_order__less__imp__triv) ).
fof(fact_111_inj__onD,axiom,
! [X3,X4,X68,X69] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> X3 = X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_inj__onD) ).
fof(fact_109_inj__on__contraD,axiom,
! [X3,X4,X68,X69] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( X3 != X4
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> hAPP_A588601142di_nat(X68,X3) != hAPP_A588601142di_nat(X68,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_inj__on__contraD) ).
fof(fact_110_inj__on__iff,axiom,
! [X4,X3,X68,X69] :
( ( is_Arr625519182e_indi(X4)
& is_Arr625519182e_indi(X3) )
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X69))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
<=> X3 = X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_inj__on__iff) ).
fof(fact_108_inj__on__def,axiom,
! [X68,X69] :
( hBOOL(inj_on24934938di_nat(X68,X69))
<=> ! [X23] :
( is_Arr625519182e_indi(X23)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X23),X69))
=> ! [X24] :
( is_Arr625519182e_indi(X24)
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X24),X69))
=> ( hAPP_A588601142di_nat(X68,X23) = hAPP_A588601142di_nat(X68,X24)
=> X23 = X24 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_inj__on__def) ).
fof(fact_15_split__paired__All,axiom,
! [X8] :
( ! [X15] : hBOOL(hAPP_P2075002375t_bool(X8,X15))
<=> ! [X16,X17] :
( ( is_Arr553848933le_alt(X16)
& is_Arr553848933le_alt(X17) )
=> hBOOL(hAPP_P2075002375t_bool(X8,produc171383831le_alt(X16,X17))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_split__paired__All) ).
fof(fact_113_inj__imp__inv__eq,axiom,
! [X70,X68] :
( is_fun1016509681e_indi(X70)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( ! [X23] : hAPP_A588601142di_nat(X68,hAPP_n385347014e_indi(X70,X23)) = X23
=> hilber1792103167di_nat(top_to1256827021i_bool,X68) = X70 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_inj__imp__inv__eq) ).
fof(fact_187_dictator__def,axiom,
! [X22,X72] :
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X22),X72))
<=> ! [X23] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X23),arrow_413697182e_Prof))
=> hAPP_f695124765t_bool(X22,X23) = hAPP_A1374816149t_bool(X23,X72) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_dictator__def) ).
fof(fact_150_complete__Lin,axiom,
! [X11,X12] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12) )
=> ( X11 != X12
=> ? [X23] :
( is_fun282293932t_bool(X23)
& hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X23),arrow_1239002508le_Lin))
& hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),X23)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_complete__Lin) ).
fof(fact_130_const__Lin__Prof,axiom,
! [X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X5)),arrow_413697182e_Prof)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_const__Lin__Prof) ).
fof(fact_105_inv__into__f__f,axiom,
! [X3,X68,X69] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> hAPP_n385347014e_indi(hilber1792103167di_nat(X69,X68),hAPP_A588601142di_nat(X68,X3)) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_inv__into__f__f) ).
fof(fact_106_inv__into__f__eq,axiom,
! [X4,X3,X68,X69] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,X69))
=> ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
=> ( hAPP_A588601142di_nat(X68,X3) = X4
=> hAPP_n385347014e_indi(hilber1792103167di_nat(X69,X68),X4) = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_inv__into__f__eq) ).
fof(fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096) ).
fof(fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096) ).
fof(fact_88_linorder__neq__iff,axiom,
! [X3,X4] :
( X3 != X4
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_linorder__neq__iff) ).
fof(fact_86_linorder__less__linear,axiom,
! [X63,X64] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X63),X64))
| X63 = X64
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X64),X63)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_linorder__less__linear) ).
fof(fact_100_less__top,axiom,
! [X11] :
( ~ ( hBOOL(X11)
<=> hBOOL(top_top_bool) )
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X11),top_top_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_less__top) ).
fof(fact_101_less__top,axiom,
! [X11] :
( is_fun282293932t_bool(X11)
=> ( X11 != top_to2034604131t_bool
<=> hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X11),top_to2034604131t_bool)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_less__top) ).
fof(fact_97_less__top,axiom,
! [X11] :
( is_fun432044380l_bool(X11)
=> ( X11 != top_to2005687013l_bool
<=> hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X11),top_to2005687013l_bool)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_less__top) ).
fof(fact_99_less__top,axiom,
! [X11] :
( is_fun631676118l_bool(X11)
=> ( X11 != top_to40512653l_bool
<=> hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X11),top_to40512653l_bool)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_less__top) ).
fof(fact_98_less__top,axiom,
! [X11] :
( is_fun959573582l_bool(X11)
=> ( X11 != top_to1194196741l_bool
<=> hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X11),top_to1194196741l_bool)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_less__top) ).
fof(fact_102_less__top,axiom,
! [X11] :
( is_fun917378774i_bool(X11)
=> ( X11 != top_to1256827021i_bool
<=> hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),top_to1256827021i_bool)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_less__top) ).
fof(fact_82_less__imp__neq,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X3 != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_less__imp__neq) ).
fof(fact_76_order__less__imp__not__eq,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X3 != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_order__less__imp__not__eq) ).
fof(fact_74_order__less__imp__not__eq2,axiom,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> X4 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_order__less__imp__not__eq2) ).
fof(fact_83_less__imp__neq,axiom,
! [X59,X60] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X59),X60))
=> X59 != X60 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_less__imp__neq) ).
fof(fact_77_order__less__imp__not__eq,axiom,
! [X53,X54] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X53),X54))
=> X53 != X54 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_order__less__imp__not__eq) ).
fof(fact_75_order__less__imp__not__eq2,axiom,
! [X51,X52] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X51),X52))
=> X52 != X51 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_order__less__imp__not__eq2) ).
fof(fact_104_inv__f__f,axiom,
! [X3,X68] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X68),hAPP_A588601142di_nat(X68,X3)) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_inv__f__f) ).
fof(fact_103_inv__f__eq,axiom,
! [X3,X4,X68] :
( is_Arr625519182e_indi(X3)
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = X4
=> hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X68),X4) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_inv__f__eq) ).
fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041,axiom,
! [X75,X78,X79] : hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X75,X78),X79) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X75,X79),hAPP_A1374816149t_bool(X78,X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041) ).
fof(help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X75,X78),X79) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X75,X79),hAPP_A1374816149t_bool(X78,X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000) ).
fof(fact_112_injD,axiom,
! [X3,X4,X68] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_injD) ).
fof(fact_107_inj__eq,axiom,
! [X3,X4,X68] :
( ( is_Arr625519182e_indi(X3)
& is_Arr625519182e_indi(X4) )
=> ( hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool))
=> ( hAPP_A588601142di_nat(X68,X3) = hAPP_A588601142di_nat(X68,X4)
<=> X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_inj__eq) ).
fof(fact_122_mem__def,axiom,
! [X3,X69] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69))
<=> hBOOL(hAPP_P2075002375t_bool(X69,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_mem__def) ).
fof(fact_125_mem__def,axiom,
! [X3,X69] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69))
<=> hBOOL(hAPP_f745298353l_bool(X69,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_mem__def) ).
fof(fact_124_mem__def,axiom,
! [X3,X69] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69))
<=> hBOOL(hAPP_f785543729l_bool(X69,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_mem__def) ).
fof(fact_123_mem__def,axiom,
! [X3,X69] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69))
<=> hBOOL(hAPP_f1636546729l_bool(X69,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_mem__def) ).
fof(fact_121_mem__def,axiom,
! [X3,X69] :
( hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69))
<=> hBOOL(hAPP_bool_bool(X69,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_mem__def) ).
fof(fact_120_mem__def,axiom,
! [X3,X69] :
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69))
<=> hBOOL(hAPP_A1466488369i_bool(X69,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_mem__def) ).
fof(help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
! [X76,X77] :
( is_fun282293932t_bool(X76)
=> hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X76),X77) = X76 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
! [X76,X77] :
( is_fun282293932t_bool(X77)
=> hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X76),X77) = X77 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040,axiom,
! [X75,X78,X79] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X75,X78),X79) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X75,X79),X78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033,axiom,
! [X75,X78,X79] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(X75,X78),X79) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X75,X79),X78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X75,X78),X79) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X75,X79),X78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,axiom,
! [X75,X78,X79] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X75,X78),X79) = hAPP_nat_bool(hAPP_A1922697556t_bool(X75,X79),X78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000) ).
fof(help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030,axiom,
! [X75,X78,X79] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X75,X78),X79) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X75,X79),X78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_,axiom,
! [X75,X78,X79] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(X75,X78),X79) = hAPP_b1915039793t_bool(X75,hAPP_A1466488369i_bool(X78,X79)),
file('/export/starexec/sandbox/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__prod_Itc__Arrow____Order____Mirabelle____fj_039,axiom,
! [X75,X78,X79] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(X75,X78),X79) = hAPP_f1336478923t_bool(X75,hAPP_A1374816149t_bool(X78,X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
! [X75,X78,X79] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X75,X78),X79) = hAPP_f1290184496t_bool(X75,hAPP_A1374816149t_bool(X78,X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
! [X75,X78,X79] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X75,X78),X79) = hAPP_n1699378549t_bool(X75,hAPP_A588601142di_nat(X78,X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_) ).
fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T,axiom,
! [X76,X77] :
( X76 != X77
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X76),X77)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Nat__Onat_T) ).
fof(fact_22_Pair__eq,axiom,
! [X11,X12,X9,X10] :
( ( is_Arr553848933le_alt(X11)
& is_Arr553848933le_alt(X12)
& is_Arr553848933le_alt(X9)
& is_Arr553848933le_alt(X10) )
=> ( produc171383831le_alt(X11,X12) = produc171383831le_alt(X9,X10)
<=> ( X11 = X9
& X12 = X10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_Pair__eq) ).
fof(fact_21_Pair__inject,axiom,
! [X18,X19,X20,X21] :
( ( is_Arr553848933le_alt(X18)
& is_Arr553848933le_alt(X19)
& is_Arr553848933le_alt(X20)
& is_Arr553848933le_alt(X21) )
=> ( produc171383831le_alt(X18,X19) = produc171383831le_alt(X20,X21)
=> ~ ( X18 = X20
=> X19 != X21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_Pair__inject) ).
fof(fact_114_injI,axiom,
! [X68] :
( ! [X23,X71] :
( ( is_Arr625519182e_indi(X23)
& is_Arr625519182e_indi(X71) )
=> ( hAPP_A588601142di_nat(X68,X23) = hAPP_A588601142di_nat(X68,X71)
=> X23 = X71 ) )
=> hBOOL(inj_on24934938di_nat(X68,top_to1256827021i_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_injI) ).
fof(fact_45_top__apply,axiom,
! [X3] :
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X3))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_top__apply) ).
fof(fact_42_top__apply,axiom,
! [X3] :
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X3))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_top__apply) ).
fof(fact_44_top__apply,axiom,
! [X3] :
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X3))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_top__apply) ).
fof(fact_43_top__apply,axiom,
! [X3] :
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X3))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_top__apply) ).
fof(fact_46_top__apply,axiom,
! [X3] :
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X3))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_top__apply) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X75),X78) = X75 ),
file('/export/starexec/sandbox/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__Arrow____Order____Mirabelle____fjewxadnqg___027,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/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__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/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_035,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031,axiom,
! [X75,X78] :
( is_fun917378774i_bool(X75)
=> hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
! [X75,X78] :
( is_fun282293932t_bool(X75)
=> hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/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__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel,axiom,
! [X75,X78] :
( is_fun631676118l_bool(X75)
=> hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje,axiom,
! [X75,X78] :
( is_fun959573582l_bool(X75)
=> hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026,axiom,
! [X75,X78] :
( is_fun282293932t_bool(X75)
=> hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028,axiom,
! [X75,X78] :
( is_fun432044380l_bool(X75)
=> hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038,axiom,
! [X75,X78] :
( is_fun631676118l_bool(X75)
=> hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032,axiom,
! [X75,X78] :
( is_fun959573582l_bool(X75)
=> hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje,axiom,
! [X75,X78] :
( is_bool(X75)
=> hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X75),X78) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020,hypothesis,
! [X1,X2] :
( ( is_fun432044380l_bool(X1)
& is_fun282293932t_bool(X2) )
=> is_bool(hAPP_f745298353l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O,axiom,
! [X1,X2] :
( ( is_fun917378774i_bool(X1)
& is_Arr625519182e_indi(X2) )
=> is_bool(hAPP_A1466488369i_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O) ).
fof(fact_38_iso__tuple__UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),top_to2034604131t_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_iso__tuple__UNIV__I) ).
fof(fact_32_UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),top_to2034604131t_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_UNIV__I) ).
fof(fact_41_iso__tuple__UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),top_to2005687013l_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_iso__tuple__UNIV__I) ).
fof(fact_35_UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),top_to2005687013l_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_UNIV__I) ).
fof(fact_40_iso__tuple__UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),top_to40512653l_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_iso__tuple__UNIV__I) ).
fof(fact_34_UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),top_to40512653l_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_UNIV__I) ).
fof(fact_39_iso__tuple__UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),top_to1194196741l_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_iso__tuple__UNIV__I) ).
fof(fact_33_UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),top_to1194196741l_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_UNIV__I) ).
fof(fact_36_iso__tuple__UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f387058535l_bool(member_bool(X3),top_to1647826457l_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_iso__tuple__UNIV__I) ).
fof(fact_30_UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f387058535l_bool(member_bool(X3),top_to1647826457l_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_UNIV__I) ).
fof(fact_37_iso__tuple__UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),top_to1256827021i_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_iso__tuple__UNIV__I) ).
fof(fact_31_UNIV__I,axiom,
! [X3] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),top_to1256827021i_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_UNIV__I) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,axiom,
! [X75,X78] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X75),X78) = X75,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036,axiom,
! [X75,X78] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X75),X78) = X75,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029,axiom,
! [X75,X78] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X75),X78) = X75,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It,axiom,
! [X75,X78] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X75),X78) = X75,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It) ).
fof(gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X1)
=> is_fun1016509681e_indi(hilber1792103167di_nat(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_Arr625519182e_indi(hAPP_f1659504677e_indi(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,axiom,
! [X1,X2] :
( is_fun1016509681e_indi(X1)
=> is_Arr625519182e_indi(hAPP_n385347014e_indi(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun282293932t_bool(hAPP_f1673487381t_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun282293932t_bool(hAPP_b1024867081t_bool(X1,X2)) ),
file('/export/starexec/sandbox/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____fjewxadnqg__Oindi_000tc__fun_It_003,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun282293932t_bool(hAPP_A1374816149t_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc,axiom,
! [X1,X2] :
( is_Arr553848933le_alt(X2)
=> is_fun282293932t_bool(hAPP_A619995676t_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X1)
=> is_bool(hAPP_P2075002375t_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019,axiom,
! [X1,X2] :
( is_fun432044380l_bool(X2)
=> is_bool(hAPP_f503012287l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016,axiom,
! [X1,X2] :
( is_fun631676118l_bool(X2)
=> is_bool(hAPP_f213304539l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012,axiom,
! [X1,X2] :
( is_fun631676118l_bool(X1)
=> is_bool(hAPP_f785543729l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X2)
=> is_bool(hAPP_f453661011l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X1)
=> is_bool(hAPP_f1636546729l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X2)
=> is_bool(hAPP_f919661787l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X2)
=> is_bool(inj_on24934938di_nat(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun917378774i_bool(hAPP_f352490559i_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun917378774i_bool(hAPP_b1018211123i_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun959573582l_bool(hAPP_b1719629739l_bool(X1,X2)) ),
file('/export/starexec/sandbox/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____fjewxadnqg__Oindi_000tc__fun_It,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun959573582l_bool(hAPP_A1912483895l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It) ).
fof(gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_,axiom,
! [X1,X2] :
( is_fun917378774i_bool(X1)
=> is_fun959573582l_bool(pi_Arr688267935t_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X2)
=> is_fun432044380l_bool(hAPP_f2056167603l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun432044380l_bool(hAPP_b1965422783l_bool(X1,X2)) ),
file('/export/starexec/sandbox/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____fjewxadnqg__Oindi_000tc__fun_It_002,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun432044380l_bool(hAPP_A1944296755l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002) ).
fof(gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa,axiom,
! [X1,X2] :
( is_fun282293932t_bool(X1)
=> is_fun432044380l_bool(pi_Pro2135156861t_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun631676118l_bool(hAPP_b990649139l_bool(X1,X2)) ),
file('/export/starexec/sandbox/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____fjewxadnqg__Oindi_000tc__fun_It_001,axiom,
! [X1,X2] :
( is_Arr625519182e_indi(X2)
=> is_fun631676118l_bool(hAPP_A1964572607l_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001) ).
fof(gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin,axiom,
! [X1,X2] :
( is_fun959573582l_bool(X1)
=> is_fun631676118l_bool(pi_fun433100839t_bool(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin) ).
fof(fact_188_Pi__UNIV,axiom,
! [X69] : pi_Pro2135156861t_bool(X69,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_Pi__UNIV) ).
fof(fact_189_Pi__UNIV,axiom,
! [X69] : pi_fun433100839t_bool(X69,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_Pi__UNIV) ).
fof(fact_190_Pi__UNIV,axiom,
! [X69] : pi_Arr688267935t_bool(X69,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_Pi__UNIV) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_f618619045e_indi(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004,axiom,
! [X1,X2] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008,hypothesis,
! [X1,X2] : is_fun282293932t_bool(hAPP_f695124765t_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje,axiom,
! [X1,X2] : is_bool(hAPP_f460310451l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018,axiom,
! [X1,X2] : is_bool(hAPP_f526292585l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,axiom,
! [X1,X2] : is_bool(hAPP_f592909149l_bool(X1,X2)),
file('/export/starexec/sandbox/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_017,axiom,
! [X1,X2] : is_bool(hAPP_f1279200745l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,axiom,
! [X1,X2] : is_bool(hAPP_f1766869725l_bool(X1,X2)),
file('/export/starexec/sandbox/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____fjew_015,axiom,
! [X1,X2] : is_bool(hAPP_f500145249l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew,axiom,
! [X1,X2] : is_bool(hAPP_f234874197l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____,axiom,
! [X1,X2] : is_bool(hAPP_f1895985727l_bool(X1,X2)),
file('/export/starexec/sandbox/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_f1550037191l_bool(X1,X2)),
file('/export/starexec/sandbox/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_f1271180905l_bool(X1,X2)),
file('/export/starexec/sandbox/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_f1018082273l_bool(X1,X2)),
file('/export/starexec/sandbox/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__Arrow____Order____Mirabelle____fjewxadnqg__O_014,axiom,
! [X1,X2] : is_bool(hAPP_f483434675l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009,axiom,
! [X1,X2] : is_bool(hAPP_f1012384989l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,axiom,
! [X1,X2] : is_bool(hAPP_f204273237l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O) ).
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/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
! [X1,X2] : is_bool(hAPP_nat_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_P907763049i_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_f355113919i_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006,axiom,
! [X1,X2] : is_fun917378774i_bool(hAPP_f749892423i_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006) ).
fof(gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__,axiom,
! [X1,X2] : is_fun917378774i_bool(cOMBC_277798809t_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007,axiom,
! [X1,X2] : is_fun432044380l_bool(hAPP_f861484971l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007) ).
fof(fact_28_top1I,axiom,
! [X3] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_top1I) ).
fof(fact_25_top1I,axiom,
! [X3] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_top1I) ).
fof(fact_27_top1I,axiom,
! [X3] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_top1I) ).
fof(fact_26_top1I,axiom,
! [X3] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_top1I) ).
fof(fact_29_top1I,axiom,
! [X3] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_top1I) ).
fof(gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,axiom,
! [X1] :
( is_fun282293932t_bool(X1)
=> is_fun282293932t_bool(collec1711870802le_alt(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O) ).
fof(gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,axiom,
! [X1] :
( is_fun917378774i_bool(X1)
=> is_fun917378774i_bool(collec45183100e_indi(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,axiom,
! [X1] :
( is_fun959573582l_bool(X1)
=> is_fun959573582l_bool(collec1580242420t_bool(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew,axiom,
! [X1] :
( is_fun432044380l_bool(X1)
=> is_fun432044380l_bool(collec874260222t_bool(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx,axiom,
! [X1] :
( is_fun631676118l_bool(X1)
=> is_fun631676118l_bool(collec1520786044t_bool(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx) ).
fof(fact_126_Collect__def,axiom,
! [X8] :
( is_fun917378774i_bool(X8)
=> collec45183100e_indi(X8) = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_Collect__def) ).
fof(gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt,hypothesis,
! [X1] : is_fun432044380l_bool(member1056080916le_alt(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt) ).
fof(help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,axiom,
! [X75] :
( is_bool(X75)
=> ( X75 = fTrue
| X75 = fFalse ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn) ).
fof(help_fTrue_1_1_T,axiom,
! [X75] :
( is_bool(X75)
=> ( X75 = fTrue
| X75 = fFalse ) ),
file('/export/starexec/sandbox/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_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
file('/export/starexec/sandbox/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_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,e)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
file('/export/starexec/sandbox/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_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
file('/export/starexec/sandbox/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_f453661011l_bool(member1277417654t_bool(cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))),arrow_413697182e_Prof)),
file('/export/starexec/sandbox/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_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,h),n)))),
file('/export/starexec/sandbox/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_115_assms_I1_J,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_assms_I1_J) ).
fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,axiom,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).
fof(fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096) ).
fof(fact_19_n_I1_J,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_n_I1_J) ).
fof(fact_116__096Lba_A_058_ALin_096,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116__096Lba_A_058_ALin_096) ).
fof(fact_117__096Lab_A_058_ALin_096,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117__096Lab_A_058_ALin_096) ).
fof(fact_3__096P_A_058_AProf_096,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__096P_A_058_AProf_096) ).
fof(fact_169_Prof__def,axiom,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_Prof__def) ).
fof(fact_1_u,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_u) ).
fof(fact_0_assms_I3_J,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I3_J) ).
fof(fact_20_injh,axiom,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_injh) ).
fof(fact_94_UNIV__def,axiom,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_UNIV__def) ).
fof(fact_91_UNIV__def,axiom,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_UNIV__def) ).
fof(fact_93_UNIV__def,axiom,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_UNIV__def) ).
fof(fact_92_UNIV__def,axiom,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_UNIV__def) ).
fof(fact_95_UNIV__def,axiom,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_UNIV__def) ).
fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,axiom,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).
fof(gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt,axiom,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt) ).
fof(help_fTrue_1_1_U,axiom,
hBOOL(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).
fof(gsy_v_e____,axiom,
is_Arr553848933le_alt(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_e____) ).
fof(gsy_v_d____,hypothesis,
is_Arr553848933le_alt(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_d____) ).
fof(gsy_v_c____,hypothesis,
is_Arr553848933le_alt(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_c____) ).
fof(gsy_v_b____,axiom,
is_Arr553848933le_alt(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_b____) ).
fof(gsy_v_a____,axiom,
is_Arr553848933le_alt(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_a____) ).
fof(gsy_v_Lba____,axiom,
is_fun282293932t_bool(lba),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_Lba____) ).
fof(gsy_v_Lab____,axiom,
is_fun282293932t_bool(lab),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_Lab____) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir,axiom,
is_fun282293932t_bool(top_to2034604131t_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir) ).
fof(gsy_c_fTrue,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fTrue) ).
fof(gsy_c_fFalse,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____,axiom,
is_fun917378774i_bool(top_to1256827021i_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira,axiom,
is_fun959573582l_bool(top_to1194196741l_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira) ).
fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf,axiom,
is_fun959573582l_bool(arrow_413697182e_Prof),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord,axiom,
is_fun432044380l_bool(top_to2005687013l_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord) ).
fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin,axiom,
is_fun432044380l_bool(arrow_1239002508le_Lin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde,axiom,
is_fun631676118l_bool(top_to40512653l_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde) ).
fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity,axiom,
is_fun631676118l_bool(arrow_467566751nimity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity) ).
fof(gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA,axiom,
is_fun631676118l_bool(arrow_1212118780le_IIA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA) ).
fof(fact_2__096c_A_126_061_Ad_096,axiom,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096c_A_126_061_Ad_096) ).
fof(fact_193__096a_A_126_061_Ab_096,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193__096a_A_126_061_Ab_096) ).
fof(i_0_314,plain,
! [X13] :
( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X13)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> ( ( hAPP_A588601142di_nat(h,X13) = n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X13)),c),e))) )
& ( hAPP_A588601142di_nat(h,X13) != n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X13)),e))) ) ) ) )
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am]) ).
fof(i_0_315,plain,
! [X13] :
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X13)))
<=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X13)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X13)),n))
=> ( ( hAPP_A588601142di_nat(h,X13) = n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X13)),c),e))) )
& ( hAPP_A588601142di_nat(h,X13) != n
=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X13)),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_316,plain,
! [X1386] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1386) != n
| hAPP_A588601142di_nat(h,X1386) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1386) != n
| hAPP_A588601142di_nat(h,X1386) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| hAPP_A588601142di_nat(h,X1386) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| hAPP_A588601142di_nat(h,X1386) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1386) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1386) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1386) != n
| hAPP_A588601142di_nat(h,X1386) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1386) != n
| hAPP_A588601142di_nat(h,X1386) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| hAPP_A588601142di_nat(h,X1386) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| hAPP_A588601142di_nat(h,X1386) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1386) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1386) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hAPP_A588601142di_nat(h,X1386) != n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hAPP_A588601142di_nat(h,X1386) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hAPP_A588601142di_nat(h,X1386) != n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( hAPP_A588601142di_nat(h,X1386) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( hAPP_A588601142di_nat(h,X1386) != n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( hAPP_A588601142di_nat(h,X1386) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1386)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( hAPP_A588601142di_nat(h,X1386) != n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1386)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) )
& ( hAPP_A588601142di_nat(h,X1386) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1386)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1386)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_314])])]) ).
fof(i_0_317,plain,
! [X3,X4,X5] :
( ( is_Arr553848933le_alt(X3)
& is_Arr553848933le_alt(X4) )
=> ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( X3 != X4
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X3)),X5)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_119_notin__Lin__iff]) ).
fof(i_0_318,plain,
! [X11,X12,X5] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
=> ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X11,X12)),X5))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X12,X11)),X5)) ) ),
inference(fof_simplification,[status(thm)],[fact_118_Lin__irrefl]) ).
fof(i_0_319,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X68),pi_boo1877522301le_alt(X69,X73)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X68,X3)),hAPP_b1024867081t_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_135_PiE]) ).
fof(i_0_320,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X68),pi_Arr149813489le_alt(X69,X73)))
=> ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X68,X3)),hAPP_A1374816149t_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_134_PiE]) ).
fof(i_0_321,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X68),pi_fun433100839t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X68,X3)),hAPP_f861484971l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_148_PiE]) ).
fof(i_0_322,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X68),pi_boo2007389459t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X68,X3)),hAPP_b1965422783l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_140_PiE]) ).
fof(i_0_323,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X68),pi_Arr688267935t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X68,X3)),hAPP_A1944296755l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_149_PiE]) ).
fof(i_0_324,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X68),pi_boo71521447t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X68,X3)),hAPP_b990649139l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_139_PiE]) ).
fof(i_0_325,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X68),pi_Arr372473371t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X68,X3)),hAPP_A1964572607l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_138_PiE]) ).
fof(i_0_326,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X68),pi_boo691944735t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X68,X3)),hAPP_b1719629739l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f387058535l_bool(member_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_137_PiE]) ).
fof(i_0_327,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X68),pi_Arr1511953043t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X68,X3)),hAPP_A1912483895l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_136_PiE]) ).
fof(i_0_328,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X68),pi_Pro2135156861t_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X68,X3)),hAPP_P2127852789l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_133_PiE]) ).
fof(i_0_329,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X68),pi_fun1727820731l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X68,X3)),hAPP_f417299659l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_147_PiE]) ).
fof(i_0_330,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X68),pi_fun525942951l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X68,X3)),hAPP_f497468491l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_145_PiE]) ).
fof(i_0_331,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X68),pi_fun1494794527l_bool(X69,X73)))
=> ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X68,X3)),hAPP_f313042899l_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_143_PiE]) ).
fof(i_0_332,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X68),pi_Pro437273841e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X68,X3)),hAPP_P907763049i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_141_PiE]) ).
fof(i_0_333,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X68),pi_fun972956463e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X68,X3)),hAPP_f352490559i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_146_PiE]) ).
fof(i_0_334,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X68),pi_fun2075749915e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X68,X3)),hAPP_f355113919i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_144_PiE]) ).
fof(i_0_335,plain,
! [X3,X68,X69,X73] :
( hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X68),pi_fun1736243859e_indi(X69,X73)))
=> ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X68,X3)),hAPP_f749892423i_bool(X73,X3)))
=> ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),X69)) ) ),
inference(fof_simplification,[status(thm)],[fact_142_PiE]) ).
fof(i_0_336,plain,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
inference(fof_simplification,[status(thm)],[fact_80_order__less__not__sym]) ).
fof(i_0_337,plain,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
inference(fof_simplification,[status(thm)],[fact_78_order__less__imp__not__less]) ).
fof(i_0_338,plain,
! [X11,X12] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11)) ),
inference(fof_simplification,[status(thm)],[fact_70_order__less__asym_H]) ).
fof(i_0_339,plain,
! [X12,X11] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X12),X11))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X11),X12)) ),
inference(fof_simplification,[status(thm)],[fact_68_xt1_I9_J]) ).
fof(i_0_340,plain,
! [X3,X4] :
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X4))
=> ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X4),X3)) ),
inference(fof_simplification,[status(thm)],[fact_54_order__less__asym]) ).
fof(i_0_341,plain,
! [X3,X4] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
<=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
| X3 = X4 ) ),
inference(fof_simplification,[status(thm)],[fact_87_not__less__iff__gr__or__eq]) ).
fof(i_0_342,plain,
! [X57,X58] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X57),X58))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X58),X57)) ),
inference(fof_simplification,[status(thm)],[fact_81_order__less__not__sym]) ).
fof(i_0_343,plain,
! [X55,X56] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X55),X56))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X56),X55)) ),
inference(fof_simplification,[status(thm)],[fact_79_order__less__imp__not__less]) ).
fof(i_0_344,plain,
! [X49,X50] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X49),X50))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X49)) ),
inference(fof_simplification,[status(thm)],[fact_71_order__less__asym_H]) ).
fof(i_0_345,plain,
! [X47,X48] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X47),X48))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X48),X47)) ),
inference(fof_simplification,[status(thm)],[fact_69_xt1_I9_J]) ).
fof(i_0_346,plain,
! [X27,X28] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X27),X28))
=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X28),X27)) ),
inference(fof_simplification,[status(thm)],[fact_55_order__less__asym]) ).
fof(i_0_347,plain,
! [X4,X3] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))
<=> X3 = X4 ) ),
inference(fof_simplification,[status(thm)],[fact_85_linorder__antisym__conv3]) ).
fof(i_0_348,plain,
! [X61,X62] :
( X61 != X62
=> ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X61),X62))
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X62),X61)) ) ),
inference(fof_simplification,[status(thm)],[fact_84_linorder__neqE]) ).
fof(i_0_349,plain,
! [X25,X26] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X25),X26))
=> ( X25 != X26
=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X26),X25)) ) ),
inference(fof_simplification,[status(thm)],[fact_53_linorder__cases]) ).
fof(i_0_350,plain,
! [X76,X77] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X76),X77))
| X76 = X77 ),
inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__Nat__Onat_T]) ).
fof(i_0_351,plain,
! [X3] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X3)),
inference(fof_simplification,[status(thm)],[fact_89_order__less__irrefl]) ).
fof(i_0_352,plain,
! [X65] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X65),X65)),
inference(fof_simplification,[status(thm)],[fact_90_order__less__irrefl]) ).
fof(i_0_353,plain,
! [X11] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X11)),
inference(fof_simplification,[status(thm)],[fact_51_not__top__less]) ).
fof(i_0_354,plain,
! [X11] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X11)),
inference(fof_simplification,[status(thm)],[fact_47_not__top__less]) ).
fof(i_0_355,plain,
! [X11] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X11)),
inference(fof_simplification,[status(thm)],[fact_49_not__top__less]) ).
fof(i_0_356,plain,
! [X11] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X11)),
inference(fof_simplification,[status(thm)],[fact_48_not__top__less]) ).
fof(i_0_357,plain,
! [X11] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X11)),
inference(fof_simplification,[status(thm)],[fact_52_not__top__less]) ).
fof(i_0_358,plain,
! [X11] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X11)),
inference(fof_simplification,[status(thm)],[fact_50_not__top__less]) ).
fof(i_0_359,plain,
! [X889,X890,X891,X892,X893,X894] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_f695124765t_bool(f,X890)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_f695124765t_bool(f,X889)))
| is_Arr625519182e_indi(esk1_6(X889,X890,X891,X892,X893,X894))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X889),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X890),arrow_413697182e_Prof))
| X894 = X891
| X893 = X892
| X891 = X892
| X893 = X894
| ~ is_Arr553848933le_alt(X891)
| ~ is_Arr553848933le_alt(X892)
| ~ is_Arr553848933le_alt(X893)
| ~ is_Arr553848933le_alt(X894) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_f695124765t_bool(f,X889)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_f695124765t_bool(f,X890)))
| is_Arr625519182e_indi(esk1_6(X889,X890,X891,X892,X893,X894))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X889),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X890),arrow_413697182e_Prof))
| X894 = X891
| X893 = X892
| X891 = X892
| X893 = X894
| ~ is_Arr553848933le_alt(X891)
| ~ is_Arr553848933le_alt(X892)
| ~ is_Arr553848933le_alt(X893)
| ~ is_Arr553848933le_alt(X894) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_f695124765t_bool(f,X890)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_f695124765t_bool(f,X889)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_A1374816149t_bool(X890,esk1_6(X889,X890,X891,X892,X893,X894))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_A1374816149t_bool(X889,esk1_6(X889,X890,X891,X892,X893,X894))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X889),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X890),arrow_413697182e_Prof))
| X894 = X891
| X893 = X892
| X891 = X892
| X893 = X894
| ~ is_Arr553848933le_alt(X891)
| ~ is_Arr553848933le_alt(X892)
| ~ is_Arr553848933le_alt(X893)
| ~ is_Arr553848933le_alt(X894) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_f695124765t_bool(f,X889)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_f695124765t_bool(f,X890)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_A1374816149t_bool(X890,esk1_6(X889,X890,X891,X892,X893,X894))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_A1374816149t_bool(X889,esk1_6(X889,X890,X891,X892,X893,X894))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X889),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X890),arrow_413697182e_Prof))
| X894 = X891
| X893 = X892
| X891 = X892
| X893 = X894
| ~ is_Arr553848933le_alt(X891)
| ~ is_Arr553848933le_alt(X892)
| ~ is_Arr553848933le_alt(X893)
| ~ is_Arr553848933le_alt(X894) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_f695124765t_bool(f,X890)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_f695124765t_bool(f,X889)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_A1374816149t_bool(X890,esk1_6(X889,X890,X891,X892,X893,X894))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_A1374816149t_bool(X889,esk1_6(X889,X890,X891,X892,X893,X894))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X889),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X890),arrow_413697182e_Prof))
| X894 = X891
| X893 = X892
| X891 = X892
| X893 = X894
| ~ is_Arr553848933le_alt(X891)
| ~ is_Arr553848933le_alt(X892)
| ~ is_Arr553848933le_alt(X893)
| ~ is_Arr553848933le_alt(X894) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_f695124765t_bool(f,X889)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_f695124765t_bool(f,X890)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X893,X894)),hAPP_A1374816149t_bool(X890,esk1_6(X889,X890,X891,X892,X893,X894))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X891,X892)),hAPP_A1374816149t_bool(X889,esk1_6(X889,X890,X891,X892,X893,X894))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X889),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X890),arrow_413697182e_Prof))
| X894 = X891
| X893 = X892
| X891 = X892
| X893 = X894
| ~ is_Arr553848933le_alt(X891)
| ~ is_Arr553848933le_alt(X892)
| ~ is_Arr553848933le_alt(X893)
| ~ is_Arr553848933le_alt(X894) ) ),
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_360,plain,
! [X896,X897,X898,X899,X900,X901] :
( ( is_Arr625519182e_indi(esk2_6(X896,X897,X898,X899,X900,X901))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X900,X901)),hAPP_f695124765t_bool(f,X897)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X898,X899)),hAPP_f695124765t_bool(f,X896)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X896),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X897),arrow_413697182e_Prof))
| X901 = X898
| X900 = X899
| X898 = X899
| X900 = X901
| ~ is_Arr553848933le_alt(X898)
| ~ is_Arr553848933le_alt(X899)
| ~ is_Arr553848933le_alt(X900)
| ~ is_Arr553848933le_alt(X901) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X900,X901)),hAPP_A1374816149t_bool(X897,esk2_6(X896,X897,X898,X899,X900,X901))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X898,X899)),hAPP_A1374816149t_bool(X896,esk2_6(X896,X897,X898,X899,X900,X901))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X900,X901)),hAPP_f695124765t_bool(f,X897)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X898,X899)),hAPP_f695124765t_bool(f,X896)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X896),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X897),arrow_413697182e_Prof))
| X901 = X898
| X900 = X899
| X898 = X899
| X900 = X901
| ~ is_Arr553848933le_alt(X898)
| ~ is_Arr553848933le_alt(X899)
| ~ is_Arr553848933le_alt(X900)
| ~ is_Arr553848933le_alt(X901) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X900,X901)),hAPP_A1374816149t_bool(X897,esk2_6(X896,X897,X898,X899,X900,X901))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X898,X899)),hAPP_A1374816149t_bool(X896,esk2_6(X896,X897,X898,X899,X900,X901))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X900,X901)),hAPP_f695124765t_bool(f,X897)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X898,X899)),hAPP_f695124765t_bool(f,X896)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X896),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X897),arrow_413697182e_Prof))
| X901 = X898
| X900 = X899
| X898 = X899
| X900 = X901
| ~ is_Arr553848933le_alt(X898)
| ~ is_Arr553848933le_alt(X899)
| ~ is_Arr553848933le_alt(X900)
| ~ is_Arr553848933le_alt(X901) ) ),
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_361,plain,
! [X909,X910,X911,X912,X913,X914] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_f695124765t_bool(f,X910)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_f695124765t_bool(f,X909)))
| is_Arr625519182e_indi(esk4_6(X909,X910,X911,X912,X913,X914))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X909),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X910),arrow_413697182e_Prof))
| X911 = X912
| X913 = X914
| ~ is_Arr553848933le_alt(X911)
| ~ is_Arr553848933le_alt(X912)
| ~ is_Arr553848933le_alt(X913)
| ~ is_Arr553848933le_alt(X914) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_f695124765t_bool(f,X909)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_f695124765t_bool(f,X910)))
| is_Arr625519182e_indi(esk4_6(X909,X910,X911,X912,X913,X914))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X909),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X910),arrow_413697182e_Prof))
| X911 = X912
| X913 = X914
| ~ is_Arr553848933le_alt(X911)
| ~ is_Arr553848933le_alt(X912)
| ~ is_Arr553848933le_alt(X913)
| ~ is_Arr553848933le_alt(X914) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_f695124765t_bool(f,X910)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_f695124765t_bool(f,X909)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_A1374816149t_bool(X910,esk4_6(X909,X910,X911,X912,X913,X914))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_A1374816149t_bool(X909,esk4_6(X909,X910,X911,X912,X913,X914))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X909),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X910),arrow_413697182e_Prof))
| X911 = X912
| X913 = X914
| ~ is_Arr553848933le_alt(X911)
| ~ is_Arr553848933le_alt(X912)
| ~ is_Arr553848933le_alt(X913)
| ~ is_Arr553848933le_alt(X914) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_f695124765t_bool(f,X909)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_f695124765t_bool(f,X910)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_A1374816149t_bool(X910,esk4_6(X909,X910,X911,X912,X913,X914))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_A1374816149t_bool(X909,esk4_6(X909,X910,X911,X912,X913,X914))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X909),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X910),arrow_413697182e_Prof))
| X911 = X912
| X913 = X914
| ~ is_Arr553848933le_alt(X911)
| ~ is_Arr553848933le_alt(X912)
| ~ is_Arr553848933le_alt(X913)
| ~ is_Arr553848933le_alt(X914) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_f695124765t_bool(f,X910)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_f695124765t_bool(f,X909)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_A1374816149t_bool(X910,esk4_6(X909,X910,X911,X912,X913,X914))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_A1374816149t_bool(X909,esk4_6(X909,X910,X911,X912,X913,X914))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X909),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X910),arrow_413697182e_Prof))
| X911 = X912
| X913 = X914
| ~ is_Arr553848933le_alt(X911)
| ~ is_Arr553848933le_alt(X912)
| ~ is_Arr553848933le_alt(X913)
| ~ is_Arr553848933le_alt(X914) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_f695124765t_bool(f,X909)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_f695124765t_bool(f,X910)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X913,X914)),hAPP_A1374816149t_bool(X910,esk4_6(X909,X910,X911,X912,X913,X914))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X911,X912)),hAPP_A1374816149t_bool(X909,esk4_6(X909,X910,X911,X912,X913,X914))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X909),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X910),arrow_413697182e_Prof))
| X911 = X912
| X913 = X914
| ~ is_Arr553848933le_alt(X911)
| ~ is_Arr553848933le_alt(X912)
| ~ is_Arr553848933le_alt(X913)
| ~ is_Arr553848933le_alt(X914) ) ),
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_362,plain,
! [X938,X939,X940,X941,X942,X944,X949] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X939)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X940)))
| is_Arr625519182e_indi(esk9_5(X938,X939,X940,X941,X942))
| ~ is_Arr553848933le_alt(X941)
| ~ is_Arr553848933le_alt(X942)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X940),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X939),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X938)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X940)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X939)))
| is_Arr625519182e_indi(esk9_5(X938,X939,X940,X941,X942))
| ~ is_Arr553848933le_alt(X941)
| ~ is_Arr553848933le_alt(X942)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X940),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X939),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X938)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X939)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X940)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_A1374816149t_bool(X939,esk9_5(X938,X939,X940,X941,X942))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_A1374816149t_bool(X940,esk9_5(X938,X939,X940,X941,X942))))
| ~ is_Arr553848933le_alt(X941)
| ~ is_Arr553848933le_alt(X942)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X940),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X939),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X938)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X940)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X939)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_A1374816149t_bool(X939,esk9_5(X938,X939,X940,X941,X942))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_A1374816149t_bool(X940,esk9_5(X938,X939,X940,X941,X942))))
| ~ is_Arr553848933le_alt(X941)
| ~ is_Arr553848933le_alt(X942)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X940),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X939),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X938)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X939)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X940)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_A1374816149t_bool(X939,esk9_5(X938,X939,X940,X941,X942))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_A1374816149t_bool(X940,esk9_5(X938,X939,X940,X941,X942))))
| ~ is_Arr553848933le_alt(X941)
| ~ is_Arr553848933le_alt(X942)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X940),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X939),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X938)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X940)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_f695124765t_bool(X938,X939)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_A1374816149t_bool(X939,esk9_5(X938,X939,X940,X941,X942))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X941,X942)),hAPP_A1374816149t_bool(X940,esk9_5(X938,X939,X940,X941,X942))))
| ~ is_Arr553848933le_alt(X941)
| ~ is_Arr553848933le_alt(X942)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X940),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X939),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X938)) )
& ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk10_1(X944)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X944)) )
& ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk11_1(X944)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X944)) )
& ( is_Arr553848933le_alt(esk12_1(X944))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X944)) )
& ( is_Arr553848933le_alt(esk13_1(X944))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X944)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X944),esk13_1(X944))),hAPP_A1374816149t_bool(esk10_1(X944),X949)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X944),esk13_1(X944))),hAPP_A1374816149t_bool(esk11_1(X944),X949)))
| ~ is_Arr625519182e_indi(X949)
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X944)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X944),esk13_1(X944))),hAPP_A1374816149t_bool(esk11_1(X944),X949)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X944),esk13_1(X944))),hAPP_A1374816149t_bool(esk10_1(X944),X949)))
| ~ is_Arr625519182e_indi(X949)
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X944)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X944),esk13_1(X944))),hAPP_f695124765t_bool(X944,esk10_1(X944))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X944),esk13_1(X944))),hAPP_f695124765t_bool(X944,esk11_1(X944))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X944)) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X944),esk13_1(X944))),hAPP_f695124765t_bool(X944,esk10_1(X944))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X944),esk13_1(X944))),hAPP_f695124765t_bool(X944,esk11_1(X944))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X944)) ) ),
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_363,plain,
! [X903,X904,X905,X906,X907] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_f695124765t_bool(f,X904)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_f695124765t_bool(f,X903)))
| is_Arr625519182e_indi(esk3_5(X903,X904,X905,X906,X907))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X903),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X904),arrow_413697182e_Prof))
| X906 = X905
| X907 = X905
| X906 = X907
| ~ is_Arr553848933le_alt(X905)
| ~ is_Arr553848933le_alt(X906)
| ~ is_Arr553848933le_alt(X907) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_f695124765t_bool(f,X903)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_f695124765t_bool(f,X904)))
| is_Arr625519182e_indi(esk3_5(X903,X904,X905,X906,X907))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X903),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X904),arrow_413697182e_Prof))
| X906 = X905
| X907 = X905
| X906 = X907
| ~ is_Arr553848933le_alt(X905)
| ~ is_Arr553848933le_alt(X906)
| ~ is_Arr553848933le_alt(X907) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_f695124765t_bool(f,X904)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_f695124765t_bool(f,X903)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_A1374816149t_bool(X904,esk3_5(X903,X904,X905,X906,X907))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_A1374816149t_bool(X903,esk3_5(X903,X904,X905,X906,X907))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X903),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X904),arrow_413697182e_Prof))
| X906 = X905
| X907 = X905
| X906 = X907
| ~ is_Arr553848933le_alt(X905)
| ~ is_Arr553848933le_alt(X906)
| ~ is_Arr553848933le_alt(X907) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_f695124765t_bool(f,X903)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_f695124765t_bool(f,X904)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_A1374816149t_bool(X904,esk3_5(X903,X904,X905,X906,X907))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_A1374816149t_bool(X903,esk3_5(X903,X904,X905,X906,X907))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X903),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X904),arrow_413697182e_Prof))
| X906 = X905
| X907 = X905
| X906 = X907
| ~ is_Arr553848933le_alt(X905)
| ~ is_Arr553848933le_alt(X906)
| ~ is_Arr553848933le_alt(X907) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_f695124765t_bool(f,X904)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_f695124765t_bool(f,X903)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_A1374816149t_bool(X904,esk3_5(X903,X904,X905,X906,X907))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_A1374816149t_bool(X903,esk3_5(X903,X904,X905,X906,X907))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X903),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X904),arrow_413697182e_Prof))
| X906 = X905
| X907 = X905
| X906 = X907
| ~ is_Arr553848933le_alt(X905)
| ~ is_Arr553848933le_alt(X906)
| ~ is_Arr553848933le_alt(X907) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_f695124765t_bool(f,X903)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_f695124765t_bool(f,X904)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X906,X907)),hAPP_A1374816149t_bool(X904,esk3_5(X903,X904,X905,X906,X907))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X907,X905)),hAPP_A1374816149t_bool(X903,esk3_5(X903,X904,X905,X906,X907))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X903),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X904),arrow_413697182e_Prof))
| X906 = X905
| X907 = X905
| X906 = X907
| ~ is_Arr553848933le_alt(X905)
| ~ is_Arr553848933le_alt(X906)
| ~ is_Arr553848933le_alt(X907) ) ),
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_364,plain,
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),hAPP_f695124765t_bool(f,cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),lab),lba)))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),hAPP_f695124765t_bool(f,cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),lab),lba))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ) ),
inference(fof_nnf,[status(thm)],[fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am]) ).
fof(i_0_365,plain,
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[fact_14_PW]) ).
fof(i_0_366,plain,
! [X916,X917,X918,X919] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_f695124765t_bool(f,X917)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_f695124765t_bool(f,X916)))
| is_Arr625519182e_indi(esk5_4(X916,X917,X918,X919))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X916),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X917),arrow_413697182e_Prof))
| X918 = X919
| ~ is_Arr553848933le_alt(X918)
| ~ is_Arr553848933le_alt(X919) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_f695124765t_bool(f,X916)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_f695124765t_bool(f,X917)))
| is_Arr625519182e_indi(esk5_4(X916,X917,X918,X919))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X916),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X917),arrow_413697182e_Prof))
| X918 = X919
| ~ is_Arr553848933le_alt(X918)
| ~ is_Arr553848933le_alt(X919) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_f695124765t_bool(f,X917)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_f695124765t_bool(f,X916)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_A1374816149t_bool(X917,esk5_4(X916,X917,X918,X919))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_A1374816149t_bool(X916,esk5_4(X916,X917,X918,X919))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X916),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X917),arrow_413697182e_Prof))
| X918 = X919
| ~ is_Arr553848933le_alt(X918)
| ~ is_Arr553848933le_alt(X919) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_f695124765t_bool(f,X916)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_f695124765t_bool(f,X917)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_A1374816149t_bool(X917,esk5_4(X916,X917,X918,X919))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_A1374816149t_bool(X916,esk5_4(X916,X917,X918,X919))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X916),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X917),arrow_413697182e_Prof))
| X918 = X919
| ~ is_Arr553848933le_alt(X918)
| ~ is_Arr553848933le_alt(X919) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_f695124765t_bool(f,X917)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_f695124765t_bool(f,X916)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_A1374816149t_bool(X917,esk5_4(X916,X917,X918,X919))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_A1374816149t_bool(X916,esk5_4(X916,X917,X918,X919))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X916),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X917),arrow_413697182e_Prof))
| X918 = X919
| ~ is_Arr553848933le_alt(X918)
| ~ is_Arr553848933le_alt(X919) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_f695124765t_bool(f,X916)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_f695124765t_bool(f,X917)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X918,X919)),hAPP_A1374816149t_bool(X917,esk5_4(X916,X917,X918,X919))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X919,X918)),hAPP_A1374816149t_bool(X916,esk5_4(X916,X917,X918,X919))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X916),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X917),arrow_413697182e_Prof))
| X918 = X919
| ~ is_Arr553848933le_alt(X918)
| ~ is_Arr553848933le_alt(X919) ) ),
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_367,plain,
! [X950,X951,X952,X953,X955,X959] :
( ( is_Arr625519182e_indi(esk14_4(X950,X951,X952,X953))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X952,X953)),hAPP_f695124765t_bool(X950,X951)))
| ~ is_Arr553848933le_alt(X952)
| ~ is_Arr553848933le_alt(X953)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X951),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X950)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X952,X953)),hAPP_A1374816149t_bool(X951,esk14_4(X950,X951,X952,X953))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X952,X953)),hAPP_f695124765t_bool(X950,X951)))
| ~ is_Arr553848933le_alt(X952)
| ~ is_Arr553848933le_alt(X953)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X951),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X950)) )
& ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk15_1(X955)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X955)) )
& ( is_Arr553848933le_alt(esk16_1(X955))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X955)) )
& ( is_Arr553848933le_alt(esk17_1(X955))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X955)) )
& ( ~ is_Arr625519182e_indi(X959)
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X955),esk17_1(X955))),hAPP_A1374816149t_bool(esk15_1(X955),X959)))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X955)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X955),esk17_1(X955))),hAPP_f695124765t_bool(X955,esk15_1(X955))))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X955)) ) ),
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_368,plain,
! [X921] :
( ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X921)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( hAPP_A588601142di_nat(h,X921) != n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X921)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( hAPP_A588601142di_nat(h,X921) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X921)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( hAPP_A588601142di_nat(h,X921) != n
| hAPP_A588601142di_nat(h,X921) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X921)),e)))
| hAPP_A588601142di_nat(h,X921) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( hAPP_A588601142di_nat(h,X921) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X921)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X921)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X921)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X921)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X921)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( hAPP_A588601142di_nat(h,X921) != n
| hAPP_A588601142di_nat(h,X921) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X921)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X921)),e)))
| hAPP_A588601142di_nat(h,X921) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X921)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( hAPP_A588601142di_nat(h,X921) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X921)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X921)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X921)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X921)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X921)),e)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X921))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_315])])]) ).
fof(i_0_369,plain,
! [X1240] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),X1240)),lab),lba)),arrow_413697182e_Prof)),
inference(variable_rename,[status(thm)],[fact_151_PiProf]) ).
cnf(i_0_370,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]) ).
fof(i_0_371,plain,
! [X1076,X1077,X1080,X1081] :
( ( is_Arr553848933le_alt(esk18_2(X1076,X1077))
| X1077 = X1076
| ~ is_fun282293932t_bool(X1076)
| ~ is_fun282293932t_bool(X1077) )
& ( is_Arr553848933le_alt(esk19_2(X1076,X1077))
| X1077 = X1076
| ~ is_fun282293932t_bool(X1076)
| ~ is_fun282293932t_bool(X1077) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X1076,X1077),esk19_2(X1076,X1077))),X1077))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X1076,X1077),esk19_2(X1076,X1077))),X1076))
| X1077 = X1076
| ~ is_fun282293932t_bool(X1076)
| ~ is_fun282293932t_bool(X1077) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X1076,X1077),esk19_2(X1076,X1077))),X1077))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X1076,X1077),esk19_2(X1076,X1077))),X1076))
| X1077 = X1076
| ~ is_fun282293932t_bool(X1076)
| ~ is_fun282293932t_bool(X1077) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1080,X1081)),X1077))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1080,X1081)),X1076))
| ~ is_Arr553848933le_alt(X1080)
| ~ is_Arr553848933le_alt(X1081)
| X1077 != X1076
| ~ is_fun282293932t_bool(X1076)
| ~ is_fun282293932t_bool(X1077) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1080,X1081)),X1076))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1080,X1081)),X1077))
| ~ is_Arr553848933le_alt(X1080)
| ~ is_Arr553848933le_alt(X1081)
| X1077 != X1076
| ~ is_fun282293932t_bool(X1076)
| ~ is_fun282293932t_bool(X1077) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_96_pred__equals__eq2])])])])]) ).
cnf(i_0_372,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]) ).
fof(i_0_373,plain,
! [X1164,X1165] :
( ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk25_2(X1164,X1165)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1165),X1164))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1165),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( is_Arr553848933le_alt(esk26_2(X1164,X1165))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1165),X1164))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1165),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( is_Arr553848933le_alt(esk27_2(X1164,X1165))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1165),X1164))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1165),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( esk26_2(X1164,X1165) != esk27_2(X1164,X1165)
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1165),X1164))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1165),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X1164,X1165),esk27_2(X1164,X1165))),hAPP_A1374816149t_bool(esk25_2(X1164,X1165),X1164)))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1165),X1164))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1165),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X1164,X1165),esk27_2(X1164,X1165))),hAPP_f695124765t_bool(X1165,esk25_2(X1164,X1165))))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1165),X1164))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1165),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_132_dictatorI])])])]) ).
fof(i_0_374,plain,
! [X1159,X1160,X1161,X1162,X1163] :
( ( X1159 != X1160
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1159 != X1163
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1162,X1160)),X1161))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1160 != X1163
| X1159 = X1162
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1162)),X1161))
| X1159 = X1163
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1160 = X1163
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),X1161))
| X1159 = X1163
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1159 != X1163
| X1159 = X1163
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1160 != X1163
| X1160 = X1163
| X1159 = X1163
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),X1161))
| X1160 = X1163
| X1159 = X1163
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1160 != X1163
| X1159 != X1162
| X1159 = X1163
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),X1161))
| X1159 != X1162
| X1159 = X1163
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1160 != X1163
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1162)),X1161))
| X1159 = X1163
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),X1161))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1162)),X1161))
| X1159 = X1163
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1159 != X1163
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1162,X1160)),X1161))
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1160 != X1163
| X1160 = X1163
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1162,X1160)),X1161))
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),X1161))
| X1160 = X1163
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1162,X1160)),X1161))
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1160 != X1163
| X1159 != X1162
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1162,X1160)),X1161))
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),X1161))
| X1159 != X1162
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1162,X1160)),X1161))
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( X1160 != X1163
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1162)),X1161))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1162,X1160)),X1161))
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),X1161))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1162)),X1161))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1162,X1160)),X1161))
| X1159 = X1160
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1159,X1160)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1161),X1162),X1163)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1161),arrow_1239002508le_Lin))
| X1162 = X1163
| ~ is_Arr553848933le_alt(X1159)
| ~ is_Arr553848933le_alt(X1160)
| ~ is_Arr553848933le_alt(X1162)
| ~ is_Arr553848933le_alt(X1163) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_131_in__above])])]) ).
cnf(i_0_375,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(split_conjunct,[status(thm)],[i_0_316]) ).
cnf(i_0_376,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]) ).
cnf(i_0_377,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]) ).
cnf(i_0_378,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_316]) ).
cnf(i_0_379,plain,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(split_conjunct,[status(thm)],[i_0_316]) ).
fof(i_0_380,plain,
! [X1155,X1156,X1157] :
( ~ is_Arr553848933le_alt(X1156)
| ~ is_Arr553848933le_alt(X1157)
| X1156 = X1157
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1155),arrow_1239002508le_Lin))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X1155),X1156),X1157)),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_129_above__Lin])]) ).
fof(i_0_381,plain,
! [X881,X882,X883,X884] :
( ( X882 != X884
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X883),X884)))
| ~ is_Arr553848933le_alt(X881)
| ~ is_Arr553848933le_alt(X882)
| ~ is_Arr553848933le_alt(X884) )
& ( X881 != X884
| X881 != X882
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X883),X884)))
| ~ is_Arr553848933le_alt(X881)
| ~ is_Arr553848933le_alt(X882)
| ~ is_Arr553848933le_alt(X884) )
& ( X881 = X884
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),X883))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X883),X884)))
| ~ is_Arr553848933le_alt(X881)
| ~ is_Arr553848933le_alt(X882)
| ~ is_Arr553848933le_alt(X884) )
& ( X881 != X884
| X881 = X884
| X882 = X884
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X883),X884)))
| ~ is_Arr553848933le_alt(X881)
| ~ is_Arr553848933le_alt(X882)
| ~ is_Arr553848933le_alt(X884) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),X883))
| X881 = X884
| X882 = X884
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X883),X884)))
| ~ is_Arr553848933le_alt(X881)
| ~ is_Arr553848933le_alt(X882)
| ~ is_Arr553848933le_alt(X884) )
& ( X881 != X884
| X881 = X882
| X882 = X884
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X883),X884)))
| ~ is_Arr553848933le_alt(X881)
| ~ is_Arr553848933le_alt(X882)
| ~ is_Arr553848933le_alt(X884) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),X883))
| X881 = X882
| X882 = X884
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X881,X882)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X883),X884)))
| ~ is_Arr553848933le_alt(X881)
| ~ is_Arr553848933le_alt(X882)
| ~ is_Arr553848933le_alt(X884) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_in__mkbot])])]) ).
fof(i_0_382,plain,
! [X885,X886,X887,X888] :
( ( X885 != X888
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X887),X888)))
| ~ is_Arr553848933le_alt(X885)
| ~ is_Arr553848933le_alt(X886)
| ~ is_Arr553848933le_alt(X888) )
& ( X886 != X888
| X885 != X886
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X887),X888)))
| ~ is_Arr553848933le_alt(X885)
| ~ is_Arr553848933le_alt(X886)
| ~ is_Arr553848933le_alt(X888) )
& ( X886 = X888
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),X887))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X887),X888)))
| ~ is_Arr553848933le_alt(X885)
| ~ is_Arr553848933le_alt(X886)
| ~ is_Arr553848933le_alt(X888) )
& ( X886 != X888
| X886 = X888
| X885 = X888
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X887),X888)))
| ~ is_Arr553848933le_alt(X885)
| ~ is_Arr553848933le_alt(X886)
| ~ is_Arr553848933le_alt(X888) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),X887))
| X886 = X888
| X885 = X888
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X887),X888)))
| ~ is_Arr553848933le_alt(X885)
| ~ is_Arr553848933le_alt(X886)
| ~ is_Arr553848933le_alt(X888) )
& ( X886 != X888
| X885 = X886
| X885 = X888
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X887),X888)))
| ~ is_Arr553848933le_alt(X885)
| ~ is_Arr553848933le_alt(X886)
| ~ is_Arr553848933le_alt(X888) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),X887))
| X885 = X886
| X885 = X888
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X885,X886)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X887),X888)))
| ~ is_Arr553848933le_alt(X885)
| ~ is_Arr553848933le_alt(X886)
| ~ is_Arr553848933le_alt(X888) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_5_in__mktop])])]) ).
fof(i_0_383,plain,
! [X1135,X1136,X1137] :
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1135,X1136)),X1137))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1136,X1135)),X1137))
| X1135 = X1136
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1137),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1135)
| ~ is_Arr553848933le_alt(X1136) )
& ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1136,X1135)),X1137))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1135,X1136)),X1137))
| X1135 = X1136
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1137),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1135)
| ~ is_Arr553848933le_alt(X1136) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_317])])]) ).
fof(i_0_384,plain,
! [X1132,X1133,X1134] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1134),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1132,X1133)),X1134))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1133,X1132)),X1134)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_318])]) ).
fof(i_0_385,plain,
! [X1345,X1346,X1347,X1348] :
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1346),pi_boo1877522301le_alt(X1347,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X1348))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1345),X1347))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1346,X1345)),X1348)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_179_funcset__mem])]) ).
fof(i_0_386,plain,
! [X1341,X1342,X1343,X1344] :
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1342),pi_Arr149813489le_alt(X1343,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1344))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1341),X1343))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1342,X1341)),X1344)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_178_funcset__mem])]) ).
fof(i_0_387,plain,
! [X1369,X1370,X1371,X1372] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1370),pi_fun433100839t_bool(X1371,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X1372))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1369),X1371))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1370,X1369)),X1372)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_185_funcset__mem])]) ).
fof(i_0_388,plain,
! [X1365,X1366,X1367,X1368] :
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1366),pi_boo2007389459t_bool(X1367,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X1368))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1365),X1367))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1366,X1365)),X1368)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_184_funcset__mem])]) ).
fof(i_0_389,plain,
! [X1373,X1374,X1375,X1376] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1374),pi_Arr688267935t_bool(X1375,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X1376))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1373),X1375))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1374,X1373)),X1376)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_186_funcset__mem])]) ).
fof(i_0_390,plain,
! [X1361,X1362,X1363,X1364] :
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1362),pi_boo71521447t_bool(X1363,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X1364))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1361),X1363))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1362,X1361)),X1364)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_183_funcset__mem])]) ).
fof(i_0_391,plain,
! [X1357,X1358,X1359,X1360] :
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1358),pi_Arr372473371t_bool(X1359,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X1360))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1357),X1359))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1358,X1357)),X1360)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_182_funcset__mem])]) ).
fof(i_0_392,plain,
! [X1353,X1354,X1355,X1356] :
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1354),pi_boo691944735t_bool(X1355,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X1356))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1353),X1355))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1354,X1353)),X1356)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_181_funcset__mem])]) ).
fof(i_0_393,plain,
! [X1349,X1350,X1351,X1352] :
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1350),pi_Arr1511953043t_bool(X1351,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X1352))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1349),X1351))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1350,X1349)),X1352)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_180_funcset__mem])]) ).
fof(i_0_394,plain,
! [X1309,X1310,X1311,X1312] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1310),pi_Pro2135156861t_bool(X1311,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X1312))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1309),X1311))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1310,X1309)),X1312)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_170_funcset__mem])]) ).
fof(i_0_395,plain,
! [X1337,X1338,X1339,X1340] :
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1338),pi_fun1727820731l_bool(X1339,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X1340))))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1337),X1339))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1338,X1337)),X1340)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_177_funcset__mem])]) ).
fof(i_0_396,plain,
! [X1329,X1330,X1331,X1332] :
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1330),pi_fun525942951l_bool(X1331,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X1332))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1329),X1331))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1330,X1329)),X1332)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_175_funcset__mem])]) ).
fof(i_0_397,plain,
! [X1321,X1322,X1323,X1324] :
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1322),pi_fun1494794527l_bool(X1323,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X1324))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1321),X1323))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1322,X1321)),X1324)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_173_funcset__mem])]) ).
fof(i_0_398,plain,
! [X1313,X1314,X1315,X1316] :
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1314),pi_Pro437273841e_indi(X1315,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X1316))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1313),X1315))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1314,X1313)),X1316)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_171_funcset__mem])]) ).
fof(i_0_399,plain,
! [X1333,X1334,X1335,X1336] :
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1334),pi_fun972956463e_indi(X1335,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X1336))))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1333),X1335))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1334,X1333)),X1336)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_176_funcset__mem])]) ).
fof(i_0_400,plain,
! [X1325,X1326,X1327,X1328] :
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1326),pi_fun2075749915e_indi(X1327,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X1328))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1325),X1327))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1326,X1325)),X1328)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_174_funcset__mem])]) ).
fof(i_0_401,plain,
! [X1317,X1318,X1319,X1320] :
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1318),pi_fun1736243859e_indi(X1319,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X1320))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1317),X1319))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1318,X1317)),X1320)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_172_funcset__mem])]) ).
fof(i_0_402,plain,
! [X1277,X1278,X1279,X1280] :
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1278),pi_boo1877522301le_alt(X1279,X1280)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1277),X1279))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1278,X1277)),hAPP_b1024867081t_bool(X1280,X1277))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_161_Pi__mem])]) ).
fof(i_0_403,plain,
! [X1177,X1178,X1179,X1180] :
( ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1178),pi_boo1877522301le_alt(X1179,X1180)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1178,X1177)),hAPP_b1024867081t_bool(X1180,X1177)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1177),X1179)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_319])]) ).
fof(i_0_404,plain,
! [X1273,X1274,X1275,X1276] :
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1274),pi_Arr149813489le_alt(X1275,X1276)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1273),X1275))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1274,X1273)),hAPP_A1374816149t_bool(X1276,X1273))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_160_Pi__mem])]) ).
fof(i_0_405,plain,
! [X1173,X1174,X1175,X1176] :
( ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1174),pi_Arr149813489le_alt(X1175,X1176)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1174,X1173)),hAPP_A1374816149t_bool(X1176,X1173)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1173),X1175)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_320])]) ).
fof(i_0_406,plain,
! [X1301,X1302,X1303,X1304] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1302),pi_fun433100839t_bool(X1303,X1304)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1301),X1303))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1302,X1301)),hAPP_f861484971l_bool(X1304,X1301))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_167_Pi__mem])]) ).
fof(i_0_407,plain,
! [X1229,X1230,X1231,X1232] :
( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1230),pi_fun433100839t_bool(X1231,X1232)))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1230,X1229)),hAPP_f861484971l_bool(X1232,X1229)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1229),X1231)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_321])]) ).
fof(i_0_408,plain,
! [X1297,X1298,X1299,X1300] :
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1298),pi_boo2007389459t_bool(X1299,X1300)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1297),X1299))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1298,X1297)),hAPP_b1965422783l_bool(X1300,X1297))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_166_Pi__mem])]) ).
fof(i_0_409,plain,
! [X1197,X1198,X1199,X1200] :
( ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1198),pi_boo2007389459t_bool(X1199,X1200)))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1198,X1197)),hAPP_b1965422783l_bool(X1200,X1197)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1197),X1199)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_322])]) ).
fof(i_0_410,plain,
! [X1305,X1306,X1307,X1308] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1306),pi_Arr688267935t_bool(X1307,X1308)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1305),X1307))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1306,X1305)),hAPP_A1944296755l_bool(X1308,X1305))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_168_Pi__mem])]) ).
fof(i_0_411,plain,
! [X1233,X1234,X1235,X1236] :
( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1234),pi_Arr688267935t_bool(X1235,X1236)))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1234,X1233)),hAPP_A1944296755l_bool(X1236,X1233)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1233),X1235)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_323])]) ).
fof(i_0_412,plain,
! [X1293,X1294,X1295,X1296] :
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1294),pi_boo71521447t_bool(X1295,X1296)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1293),X1295))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1294,X1293)),hAPP_b990649139l_bool(X1296,X1293))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_165_Pi__mem])]) ).
fof(i_0_413,plain,
! [X1193,X1194,X1195,X1196] :
( ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1194),pi_boo71521447t_bool(X1195,X1196)))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1194,X1193)),hAPP_b990649139l_bool(X1196,X1193)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1193),X1195)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_324])]) ).
fof(i_0_414,plain,
! [X1289,X1290,X1291,X1292] :
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1290),pi_Arr372473371t_bool(X1291,X1292)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1289),X1291))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1290,X1289)),hAPP_A1964572607l_bool(X1292,X1289))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_164_Pi__mem])]) ).
fof(i_0_415,plain,
! [X1189,X1190,X1191,X1192] :
( ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1190),pi_Arr372473371t_bool(X1191,X1192)))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1190,X1189)),hAPP_A1964572607l_bool(X1192,X1189)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1189),X1191)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_325])]) ).
fof(i_0_416,plain,
! [X1285,X1286,X1287,X1288] :
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1286),pi_boo691944735t_bool(X1287,X1288)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1285),X1287))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1286,X1285)),hAPP_b1719629739l_bool(X1288,X1285))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_163_Pi__mem])]) ).
fof(i_0_417,plain,
! [X1185,X1186,X1187,X1188] :
( ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1186),pi_boo691944735t_bool(X1187,X1188)))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1186,X1185)),hAPP_b1719629739l_bool(X1188,X1185)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1185),X1187)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_326])]) ).
fof(i_0_418,plain,
! [X1281,X1282,X1283,X1284] :
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1282),pi_Arr1511953043t_bool(X1283,X1284)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1281),X1283))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1282,X1281)),hAPP_A1912483895l_bool(X1284,X1281))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_162_Pi__mem])]) ).
fof(i_0_419,plain,
! [X1181,X1182,X1183,X1184] :
( ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1182),pi_Arr1511953043t_bool(X1183,X1184)))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1182,X1181)),hAPP_A1912483895l_bool(X1184,X1181)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1181),X1183)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_327])]) ).
fof(i_0_420,plain,
! [X1241,X1242,X1243,X1244] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1242),pi_Pro2135156861t_bool(X1243,X1244)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1241),X1243))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1242,X1241)),hAPP_P2127852789l_bool(X1244,X1241))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_152_Pi__mem])]) ).
fof(i_0_421,plain,
! [X1169,X1170,X1171,X1172] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1170),pi_Pro2135156861t_bool(X1171,X1172)))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1170,X1169)),hAPP_P2127852789l_bool(X1172,X1169)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1169),X1171)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_328])]) ).
fof(i_0_422,plain,
! [X1269,X1270,X1271,X1272] :
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1270),pi_fun1727820731l_bool(X1271,X1272)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1269),X1271))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1270,X1269)),hAPP_f417299659l_bool(X1272,X1269))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_159_Pi__mem])]) ).
fof(i_0_423,plain,
! [X1225,X1226,X1227,X1228] :
( ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1226),pi_fun1727820731l_bool(X1227,X1228)))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1226,X1225)),hAPP_f417299659l_bool(X1228,X1225)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1225),X1227)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_329])]) ).
fof(i_0_424,plain,
! [X1261,X1262,X1263,X1264] :
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1262),pi_fun525942951l_bool(X1263,X1264)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1261),X1263))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1262,X1261)),hAPP_f497468491l_bool(X1264,X1261))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_157_Pi__mem])]) ).
fof(i_0_425,plain,
! [X1217,X1218,X1219,X1220] :
( ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1218),pi_fun525942951l_bool(X1219,X1220)))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1218,X1217)),hAPP_f497468491l_bool(X1220,X1217)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1217),X1219)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_330])]) ).
fof(i_0_426,plain,
! [X1253,X1254,X1255,X1256] :
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1254),pi_fun1494794527l_bool(X1255,X1256)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1253),X1255))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1254,X1253)),hAPP_f313042899l_bool(X1256,X1253))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_155_Pi__mem])]) ).
fof(i_0_427,plain,
! [X1209,X1210,X1211,X1212] :
( ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1210),pi_fun1494794527l_bool(X1211,X1212)))
| hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1210,X1209)),hAPP_f313042899l_bool(X1212,X1209)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1209),X1211)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_331])]) ).
fof(i_0_428,plain,
! [X1245,X1246,X1247,X1248] :
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1246),pi_Pro437273841e_indi(X1247,X1248)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1245),X1247))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1246,X1245)),hAPP_P907763049i_bool(X1248,X1245))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_153_Pi__mem])]) ).
fof(i_0_429,plain,
! [X1201,X1202,X1203,X1204] :
( ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1202),pi_Pro437273841e_indi(X1203,X1204)))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1202,X1201)),hAPP_P907763049i_bool(X1204,X1201)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1201),X1203)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_332])]) ).
fof(i_0_430,plain,
! [X1265,X1266,X1267,X1268] :
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1266),pi_fun972956463e_indi(X1267,X1268)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1265),X1267))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1266,X1265)),hAPP_f352490559i_bool(X1268,X1265))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_158_Pi__mem])]) ).
fof(i_0_431,plain,
! [X1221,X1222,X1223,X1224] :
( ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1222),pi_fun972956463e_indi(X1223,X1224)))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1222,X1221)),hAPP_f352490559i_bool(X1224,X1221)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1221),X1223)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_333])]) ).
fof(i_0_432,plain,
! [X1257,X1258,X1259,X1260] :
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1258),pi_fun2075749915e_indi(X1259,X1260)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1257),X1259))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1258,X1257)),hAPP_f355113919i_bool(X1260,X1257))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_156_Pi__mem])]) ).
fof(i_0_433,plain,
! [X1213,X1214,X1215,X1216] :
( ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1214),pi_fun2075749915e_indi(X1215,X1216)))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1214,X1213)),hAPP_f355113919i_bool(X1216,X1213)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1213),X1215)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_334])]) ).
fof(i_0_434,plain,
! [X1249,X1250,X1251,X1252] :
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1250),pi_fun1736243859e_indi(X1251,X1252)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1249),X1251))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1250,X1249)),hAPP_f749892423i_bool(X1252,X1249))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_154_Pi__mem])]) ).
fof(i_0_435,plain,
! [X1205,X1206,X1207,X1208] :
( ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1206),pi_fun1736243859e_indi(X1207,X1208)))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1206,X1205)),hAPP_f749892423i_bool(X1208,X1205)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1205),X1207)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_335])]) ).
fof(i_0_436,plain,
! [X1151,X1152] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1152),arrow_1239002508le_Lin))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X1152),X1151)),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_127_mktop__Lin])]) ).
fof(i_0_437,plain,
! [X1153,X1154] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1154),arrow_1239002508le_Lin))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X1154),X1153)),arrow_1239002508le_Lin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_128_mkbot__Lin])]) ).
fof(i_0_438,plain,
! [X1000,X1001,X1002] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1001),X1002))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1002),X1000))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1001),X1000)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_58_order__less__trans])]) ).
fof(i_0_439,plain,
! [X994,X995,X996] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X995),X996))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X994),X995))
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X994),X996)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_56_xt1_I10_J])]) ).
fof(i_0_440,plain,
! [X1003,X1004,X1005] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1004),X1005))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1005),X1003))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1004),X1003)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_59_order__less__trans])]) ).
fof(i_0_441,plain,
! [X997,X998,X999] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X998),X999))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X997),X998))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X997),X999)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_57_xt1_I10_J])]) ).
fof(i_0_442,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(i_0_443,plain,
! [X1038,X1039,X1040] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1039),X1040))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1040),X1039))
| hBOOL(X1038) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_72_order__less__imp__triv])]) ).
fof(i_0_444,plain,
! [X1041,X1042,X1043] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1042),X1043))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1043),X1042))
| hBOOL(X1041) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_73_order__less__imp__triv])]) ).
fof(i_0_445,plain,
! [X1119,X1120,X1121,X1122] :
( ~ is_Arr625519182e_indi(X1119)
| ~ is_Arr625519182e_indi(X1120)
| ~ hBOOL(inj_on24934938di_nat(X1121,X1122))
| hAPP_A588601142di_nat(X1121,X1119) != hAPP_A588601142di_nat(X1121,X1120)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1119),X1122))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1120),X1122))
| X1119 = X1120 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_111_inj__onD])]) ).
fof(i_0_446,plain,
! [X1111,X1112,X1113,X1114] :
( ~ is_Arr625519182e_indi(X1111)
| ~ is_Arr625519182e_indi(X1112)
| ~ hBOOL(inj_on24934938di_nat(X1113,X1114))
| X1111 = X1112
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1111),X1114))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1112),X1114))
| hAPP_A588601142di_nat(X1113,X1111) != hAPP_A588601142di_nat(X1113,X1112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_109_inj__on__contraD])]) ).
fof(i_0_447,plain,
! [X1115,X1116,X1117,X1118] :
( ( hAPP_A588601142di_nat(X1117,X1116) != hAPP_A588601142di_nat(X1117,X1115)
| X1116 = X1115
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1115),X1118))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1116),X1118))
| ~ hBOOL(inj_on24934938di_nat(X1117,X1118))
| ~ is_Arr625519182e_indi(X1115)
| ~ is_Arr625519182e_indi(X1116) )
& ( X1116 != X1115
| hAPP_A588601142di_nat(X1117,X1116) = hAPP_A588601142di_nat(X1117,X1115)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1115),X1118))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1116),X1118))
| ~ hBOOL(inj_on24934938di_nat(X1117,X1118))
| ~ is_Arr625519182e_indi(X1115)
| ~ is_Arr625519182e_indi(X1116) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_110_inj__on__iff])])]) ).
fof(i_0_448,plain,
! [X1103,X1104,X1105,X1106,X1107,X1108] :
( ( ~ hBOOL(inj_on24934938di_nat(X1103,X1104))
| ~ is_Arr625519182e_indi(X1105)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1105),X1104))
| ~ is_Arr625519182e_indi(X1106)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1106),X1104))
| hAPP_A588601142di_nat(X1103,X1105) != hAPP_A588601142di_nat(X1103,X1106)
| X1105 = X1106 )
& ( is_Arr625519182e_indi(esk20_2(X1107,X1108))
| hBOOL(inj_on24934938di_nat(X1107,X1108)) )
& ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk20_2(X1107,X1108)),X1108))
| hBOOL(inj_on24934938di_nat(X1107,X1108)) )
& ( is_Arr625519182e_indi(esk21_2(X1107,X1108))
| hBOOL(inj_on24934938di_nat(X1107,X1108)) )
& ( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk21_2(X1107,X1108)),X1108))
| hBOOL(inj_on24934938di_nat(X1107,X1108)) )
& ( hAPP_A588601142di_nat(X1107,esk20_2(X1107,X1108)) = hAPP_A588601142di_nat(X1107,esk21_2(X1107,X1108))
| hBOOL(inj_on24934938di_nat(X1107,X1108)) )
& ( esk20_2(X1107,X1108) != esk21_2(X1107,X1108)
| hBOOL(inj_on24934938di_nat(X1107,X1108)) ) ),
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_108_inj__on__def])])])])])]) ).
fof(i_0_449,plain,
! [X1056,X1057] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1056),X1057))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1057),X1056)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_336])]) ).
fof(i_0_450,plain,
! [X1052,X1053] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1052),X1053))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1053),X1052)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_337])]) ).
fof(i_0_451,plain,
! [X1034,X1035] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1034),X1035))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1035),X1034)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_338])]) ).
fof(i_0_452,plain,
! [X1030,X1031] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1030),X1031))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1031),X1030)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_339])]) ).
fof(i_0_453,plain,
! [X990,X991] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X990),X991))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X991),X990)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_340])]) ).
fof(i_0_454,plain,
! [X1070,X1071] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1070),X1071))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1071),X1070))
| X1070 = X1071 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1071),X1070))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1070),X1071)) )
& ( X1070 != X1071
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1070),X1071)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_341])])]) ).
fof(i_0_455,plain,
! [X1058,X1059] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1058),X1059))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1059),X1058)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_342])]) ).
fof(i_0_456,plain,
! [X1054,X1055] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1054),X1055))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1055),X1054)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_343])]) ).
fof(i_0_457,plain,
! [X1036,X1037] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1036),X1037))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1037),X1036)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_344])]) ).
fof(i_0_458,plain,
! [X1032,X1033] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1032),X1033))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1033),X1032)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_345])]) ).
fof(i_0_459,plain,
! [X992,X993] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X992),X993))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X993),X992)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_346])]) ).
fof(i_0_460,plain,
! [X922,X924,X925,X926,X929] :
( ( ~ hBOOL(hAPP_P2075002375t_bool(X922,esk6_1(X922)))
| ~ is_Arr553848933le_alt(X924)
| ~ is_Arr553848933le_alt(X925)
| hBOOL(hAPP_P2075002375t_bool(X922,produc171383831le_alt(X924,X925))) )
& ( is_Arr553848933le_alt(esk7_1(X926))
| hBOOL(hAPP_P2075002375t_bool(X926,X929)) )
& ( is_Arr553848933le_alt(esk8_1(X926))
| hBOOL(hAPP_P2075002375t_bool(X926,X929)) )
& ( ~ hBOOL(hAPP_P2075002375t_bool(X926,produc171383831le_alt(esk7_1(X926),esk8_1(X926))))
| hBOOL(hAPP_P2075002375t_bool(X926,X929)) ) ),
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_461,plain,
! [X1126,X1127] :
( ~ is_fun1016509681e_indi(X1126)
| ~ hBOOL(inj_on24934938di_nat(X1127,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1127,hAPP_n385347014e_indi(X1126,esk22_2(X1126,X1127))) != esk22_2(X1126,X1127)
| hilber1792103167di_nat(top_to1256827021i_bool,X1127) = X1126 ),
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_113_inj__imp__inv__eq])])])])]) ).
fof(i_0_462,plain,
! [X1377,X1378,X1379,X1380,X1381] :
( ( ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1377),X1378))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1379),arrow_413697182e_Prof))
| hAPP_f695124765t_bool(X1377,X1379) = hAPP_A1374816149t_bool(X1379,X1378) )
& ( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk29_2(X1380,X1381)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1380),X1381)) )
& ( hAPP_f695124765t_bool(X1380,esk29_2(X1380,X1381)) != hAPP_A1374816149t_bool(esk29_2(X1380,X1381),X1381)
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1380),X1381)) ) ),
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_187_dictator__def])])])])])]) ).
fof(i_0_463,plain,
! [X1237,X1238] :
( ( is_fun282293932t_bool(esk28_2(X1237,X1238))
| X1237 = X1238
| ~ is_Arr553848933le_alt(X1237)
| ~ is_Arr553848933le_alt(X1238) )
& ( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(esk28_2(X1237,X1238)),arrow_1239002508le_Lin))
| X1237 = X1238
| ~ is_Arr553848933le_alt(X1237)
| ~ is_Arr553848933le_alt(X1238) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1237,X1238)),esk28_2(X1237,X1238)))
| X1237 = X1238
| ~ is_Arr553848933le_alt(X1237)
| ~ is_Arr553848933le_alt(X1238) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_150_complete__Lin])])])]) ).
fof(i_0_464,plain,
! [X1158] :
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1158),arrow_1239002508le_Lin))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1158)),arrow_413697182e_Prof)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_130_const__Lin__Prof])]) ).
fof(i_0_465,plain,
! [X1093,X1094,X1095] :
( ~ is_Arr625519182e_indi(X1093)
| ~ hBOOL(inj_on24934938di_nat(X1094,X1095))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1093),X1095))
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1095,X1094),hAPP_A588601142di_nat(X1094,X1093)) = X1093 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_105_inv__into__f__f])]) ).
fof(i_0_466,plain,
! [X1096,X1097,X1098,X1099] :
( ~ is_Arr625519182e_indi(X1097)
| ~ hBOOL(inj_on24934938di_nat(X1098,X1099))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1097),X1099))
| hAPP_A588601142di_nat(X1098,X1097) != X1096
| hAPP_n385347014e_indi(hilber1792103167di_nat(X1099,X1098),X1096) = X1097 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_106_inv__into__f__eq])]) ).
fof(i_0_467,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
inference(fof_simplification,[status(thm)],[fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096]) ).
fof(i_0_468,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
inference(fof_simplification,[status(thm)],[fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096]) ).
fof(i_0_469,plain,
! [X1072,X1073] :
( ( X1072 = X1073
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1072),X1073))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1073),X1072)) )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1072),X1073))
| X1072 != X1073 )
& ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1073),X1072))
| X1072 != X1073 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_88_linorder__neq__iff])])]) ).
fof(i_0_470,plain,
! [X1068,X1069] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1068),X1069))
| X1068 = X1069
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1069),X1068)) ),
inference(variable_rename,[status(thm)],[fact_86_linorder__less__linear]) ).
fof(i_0_471,plain,
! [X1066,X1067] :
( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1067),X1066))
| X1067 = X1066
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1066),X1067)) )
& ( X1067 != X1066
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1067),X1066))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1066),X1067)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_347])])]) ).
fof(i_0_472,plain,
! [X1064,X1065] :
( X1064 = X1065
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1064),X1065))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1065),X1064)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_348])]) ).
fof(i_0_473,plain,
! [X988,X989] :
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X988),X989))
| X988 = X989
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X989),X988)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_349])]) ).
fof(i_0_474,plain,
! [X1085] :
( ( ~ hBOOL(X1085)
| hBOOL(top_top_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1085),top_top_bool)) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(X1085)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1085),top_top_bool)) )
& ( ~ hBOOL(X1085)
| ~ hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1085),top_top_bool)) )
& ( hBOOL(X1085)
| hBOOL(top_top_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,X1085),top_top_bool)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_100_less__top])])]) ).
fof(i_0_475,plain,
! [X1086] :
( ( X1086 = top_to2034604131t_bool
| hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1086),top_to2034604131t_bool))
| ~ is_fun282293932t_bool(X1086) )
& ( ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1086),top_to2034604131t_bool))
| X1086 != top_to2034604131t_bool
| ~ is_fun282293932t_bool(X1086) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_101_less__top])])]) ).
fof(i_0_476,plain,
! [X1082] :
( ( X1082 = top_to2005687013l_bool
| hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1082),top_to2005687013l_bool))
| ~ is_fun432044380l_bool(X1082) )
& ( ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1082),top_to2005687013l_bool))
| X1082 != top_to2005687013l_bool
| ~ is_fun432044380l_bool(X1082) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_97_less__top])])]) ).
fof(i_0_477,plain,
! [X1084] :
( ( X1084 = top_to40512653l_bool
| hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1084),top_to40512653l_bool))
| ~ is_fun631676118l_bool(X1084) )
& ( ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1084),top_to40512653l_bool))
| X1084 != top_to40512653l_bool
| ~ is_fun631676118l_bool(X1084) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_99_less__top])])]) ).
fof(i_0_478,plain,
! [X1083] :
( ( X1083 = top_to1194196741l_bool
| hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1083),top_to1194196741l_bool))
| ~ is_fun959573582l_bool(X1083) )
& ( ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1083),top_to1194196741l_bool))
| X1083 != top_to1194196741l_bool
| ~ is_fun959573582l_bool(X1083) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_98_less__top])])]) ).
fof(i_0_479,plain,
! [X1087] :
( ( X1087 = top_to1256827021i_bool
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1087),top_to1256827021i_bool))
| ~ is_fun917378774i_bool(X1087) )
& ( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1087),top_to1256827021i_bool))
| X1087 != top_to1256827021i_bool
| ~ is_fun917378774i_bool(X1087) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_102_less__top])])]) ).
fof(i_0_480,plain,
! [X1060,X1061] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1060),X1061))
| X1060 != X1061 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_82_less__imp__neq])]) ).
fof(i_0_481,plain,
! [X1048,X1049] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1048),X1049))
| X1048 != X1049 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_76_order__less__imp__not__eq])]) ).
fof(i_0_482,plain,
! [X1044,X1045] :
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1044),X1045))
| X1045 != X1044 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_74_order__less__imp__not__eq2])]) ).
fof(i_0_483,plain,
! [X1062,X1063] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1062),X1063))
| X1062 != X1063 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_83_less__imp__neq])]) ).
fof(i_0_484,plain,
! [X1050,X1051] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1050),X1051))
| X1050 != X1051 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_77_order__less__imp__not__eq])]) ).
fof(i_0_485,plain,
! [X1046,X1047] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1046),X1047))
| X1047 != X1046 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_75_order__less__imp__not__eq2])]) ).
fof(i_0_486,plain,
! [X1388,X1389] :
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1388),X1389))
| X1388 = X1389 ),
inference(variable_rename,[status(thm)],[i_0_350]) ).
fof(i_0_487,plain,
! [X1074] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1074),X1074)),
inference(variable_rename,[status(thm)],[i_0_351]) ).
fof(i_0_488,plain,
! [X1075] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1075),X1075)),
inference(variable_rename,[status(thm)],[i_0_352]) ).
fof(i_0_489,plain,
! [X1091,X1092] :
( ~ is_Arr625519182e_indi(X1091)
| ~ hBOOL(inj_on24934938di_nat(X1092,top_to1256827021i_bool))
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1092),hAPP_A588601142di_nat(X1092,X1091)) = X1091 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_104_inv__f__f])]) ).
fof(i_0_490,plain,
! [X1088,X1089,X1090] :
( ~ is_Arr625519182e_indi(X1088)
| ~ hBOOL(inj_on24934938di_nat(X1090,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1090,X1088) != X1089
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X1090),X1089) = X1088 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_inv__f__eq])]) ).
fof(i_0_491,plain,
! [X986] : ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X986)),
inference(variable_rename,[status(thm)],[i_0_353]) ).
fof(i_0_492,plain,
! [X982] : ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X982)),
inference(variable_rename,[status(thm)],[i_0_354]) ).
fof(i_0_493,plain,
! [X984] : ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X984)),
inference(variable_rename,[status(thm)],[i_0_355]) ).
fof(i_0_494,plain,
! [X983] : ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X983)),
inference(variable_rename,[status(thm)],[i_0_356]) ).
fof(i_0_495,plain,
! [X987] : ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X987)),
inference(variable_rename,[status(thm)],[i_0_357]) ).
fof(i_0_496,plain,
! [X985] : ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X985)),
inference(variable_rename,[status(thm)],[i_0_358]) ).
fof(i_0_497,plain,
! [X1468,X1469,X1470] : hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X1468,X1469),X1470) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1468,X1470),hAPP_A1374816149t_bool(X1469,X1470)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041]) ).
fof(i_0_498,plain,
! [X1444,X1445,X1446] : hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X1444,X1445),X1446) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1444,X1446),hAPP_A1374816149t_bool(X1445,X1446)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000]) ).
fof(i_0_499,plain,
! [X1123,X1124,X1125] :
( ~ is_Arr625519182e_indi(X1123)
| ~ is_Arr625519182e_indi(X1124)
| ~ hBOOL(inj_on24934938di_nat(X1125,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X1125,X1123) != hAPP_A588601142di_nat(X1125,X1124)
| X1123 = X1124 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_112_injD])]) ).
fof(i_0_500,plain,
! [X1100,X1101,X1102] :
( ( hAPP_A588601142di_nat(X1102,X1100) != hAPP_A588601142di_nat(X1102,X1101)
| X1100 = X1101
| ~ hBOOL(inj_on24934938di_nat(X1102,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X1100)
| ~ is_Arr625519182e_indi(X1101) )
& ( X1100 != X1101
| hAPP_A588601142di_nat(X1102,X1100) = hAPP_A588601142di_nat(X1102,X1101)
| ~ hBOOL(inj_on24934938di_nat(X1102,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X1100)
| ~ is_Arr625519182e_indi(X1101) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_107_inj__eq])])]) ).
fof(i_0_501,plain,
! [X1142,X1143] :
( ( ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1142),X1143))
| hBOOL(hAPP_P2075002375t_bool(X1143,X1142)) )
& ( ~ hBOOL(hAPP_P2075002375t_bool(X1143,X1142))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1142),X1143)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_122_mem__def])]) ).
fof(i_0_502,plain,
! [X1148,X1149] :
( ( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1148),X1149))
| hBOOL(hAPP_f745298353l_bool(X1149,X1148)) )
& ( ~ hBOOL(hAPP_f745298353l_bool(X1149,X1148))
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1148),X1149)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_125_mem__def])]) ).
fof(i_0_503,plain,
! [X1146,X1147] :
( ( ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1146),X1147))
| hBOOL(hAPP_f785543729l_bool(X1147,X1146)) )
& ( ~ hBOOL(hAPP_f785543729l_bool(X1147,X1146))
| hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1146),X1147)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_124_mem__def])]) ).
fof(i_0_504,plain,
! [X1144,X1145] :
( ( ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1144),X1145))
| hBOOL(hAPP_f1636546729l_bool(X1145,X1144)) )
& ( ~ hBOOL(hAPP_f1636546729l_bool(X1145,X1144))
| hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1144),X1145)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_123_mem__def])]) ).
fof(i_0_505,plain,
! [X1140,X1141] :
( ( ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1140),X1141))
| hBOOL(hAPP_bool_bool(X1141,X1140)) )
& ( ~ hBOOL(hAPP_bool_bool(X1141,X1140))
| hBOOL(hAPP_f387058535l_bool(member_bool(X1140),X1141)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_121_mem__def])]) ).
fof(i_0_506,plain,
! [X1138,X1139] :
( ( ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1138),X1139))
| hBOOL(hAPP_A1466488369i_bool(X1139,X1138)) )
& ( ~ hBOOL(hAPP_A1466488369i_bool(X1139,X1138))
| hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1138),X1139)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_120_mem__def])]) ).
fof(i_0_507,plain,
! [X1402,X1403] :
( ~ is_fun282293932t_bool(X1402)
| hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X1402),X1403) = X1402 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn])]) ).
fof(i_0_508,plain,
! [X1404,X1405] :
( ~ is_fun282293932t_bool(X1405)
| hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X1404),X1405) = X1405 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn])]) ).
fof(i_0_509,plain,
! [X1465,X1466,X1467] : hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X1465,X1466),X1467) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1465,X1467),X1466),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040]) ).
fof(i_0_510,plain,
! [X1438,X1439,X1440] : hAPP_A702630576t_bool(cOMBC_493523632t_bool(X1438,X1439),X1440) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X1438,X1440),X1439),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033]) ).
fof(i_0_511,plain,
! [X1441,X1442,X1443] : hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X1441,X1442),X1443) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1441,X1443),X1442),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034]) ).
fof(i_0_512,plain,
! [X1394,X1395,X1396] : hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X1394,X1395),X1396) = hAPP_nat_bool(hAPP_A1922697556t_bool(X1394,X1396),X1395),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000]) ).
fof(i_0_513,plain,
! [X1431,X1432,X1433] : hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X1431,X1432),X1433) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X1431,X1433),X1432),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030]) ).
fof(i_0_514,plain,
! [X1471,X1472,X1473] : hAPP_A869356733t_bool(cOMBB_963584201e_indi(X1471,X1472),X1473) = hAPP_b1915039793t_bool(X1471,hAPP_A1466488369i_bool(X1472,X1473)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_]) ).
fof(i_0_515,plain,
! [X1462,X1463,X1464] : hAPP_A460042315t_bool(cOMBB_69933763e_indi(X1462,X1463),X1464) = hAPP_f1336478923t_bool(X1462,hAPP_A1374816149t_bool(X1463,X1464)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039]) ).
fof(i_0_516,plain,
! [X1455,X1456,X1457] : hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X1455,X1456),X1457) = hAPP_f1290184496t_bool(X1455,hAPP_A1374816149t_bool(X1456,X1457)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj]) ).
fof(i_0_517,plain,
! [X1397,X1398,X1399] : hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X1397,X1398),X1399) = hAPP_n1699378549t_bool(X1397,hAPP_A588601142di_nat(X1398,X1399)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_]) ).
fof(i_0_518,plain,
! [X1390,X1391] :
( X1390 != X1391
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1390),X1391)) ),
inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__Nat__Onat_T]) ).
fof(i_0_519,plain,
! [X934,X935,X936,X937] :
( ( X934 = X936
| produc171383831le_alt(X934,X935) != produc171383831le_alt(X936,X937)
| ~ is_Arr553848933le_alt(X934)
| ~ is_Arr553848933le_alt(X935)
| ~ is_Arr553848933le_alt(X936)
| ~ is_Arr553848933le_alt(X937) )
& ( X935 = X937
| produc171383831le_alt(X934,X935) != produc171383831le_alt(X936,X937)
| ~ is_Arr553848933le_alt(X934)
| ~ is_Arr553848933le_alt(X935)
| ~ is_Arr553848933le_alt(X936)
| ~ is_Arr553848933le_alt(X937) )
& ( X934 != X936
| X935 != X937
| produc171383831le_alt(X934,X935) = produc171383831le_alt(X936,X937)
| ~ is_Arr553848933le_alt(X934)
| ~ is_Arr553848933le_alt(X935)
| ~ is_Arr553848933le_alt(X936)
| ~ is_Arr553848933le_alt(X937) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_22_Pair__eq])])]) ).
fof(i_0_520,plain,
! [X930,X931,X932,X933] :
( ( X930 = X932
| produc171383831le_alt(X930,X931) != produc171383831le_alt(X932,X933)
| ~ is_Arr553848933le_alt(X930)
| ~ is_Arr553848933le_alt(X931)
| ~ is_Arr553848933le_alt(X932)
| ~ is_Arr553848933le_alt(X933) )
& ( X931 = X933
| produc171383831le_alt(X930,X931) != produc171383831le_alt(X932,X933)
| ~ is_Arr553848933le_alt(X930)
| ~ is_Arr553848933le_alt(X931)
| ~ is_Arr553848933le_alt(X932)
| ~ is_Arr553848933le_alt(X933) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_21_Pair__inject])])]) ).
fof(i_0_521,plain,
! [X1129] :
( ( is_Arr625519182e_indi(esk23_1(X1129))
| hBOOL(inj_on24934938di_nat(X1129,top_to1256827021i_bool)) )
& ( is_Arr625519182e_indi(esk24_1(X1129))
| hBOOL(inj_on24934938di_nat(X1129,top_to1256827021i_bool)) )
& ( hAPP_A588601142di_nat(X1129,esk23_1(X1129)) = hAPP_A588601142di_nat(X1129,esk24_1(X1129))
| hBOOL(inj_on24934938di_nat(X1129,top_to1256827021i_bool)) )
& ( esk23_1(X1129) != esk24_1(X1129)
| hBOOL(inj_on24934938di_nat(X1129,top_to1256827021i_bool)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_114_injI])])])]) ).
fof(i_0_522,plain,
! [X980] :
( ( ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X980))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X980)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_45_top__apply])]) ).
fof(i_0_523,plain,
! [X977] :
( ( ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X977))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X977)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_42_top__apply])]) ).
fof(i_0_524,plain,
! [X979] :
( ( ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X979))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X979)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_44_top__apply])]) ).
fof(i_0_525,plain,
! [X978] :
( ( ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X978))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X978)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_43_top__apply])]) ).
fof(i_0_526,plain,
! [X981] :
( ( ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X981))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X981)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_46_top__apply])]) ).
fof(i_0_527,plain,
! [X1417,X1418] :
( ~ is_fun917378774i_bool(X1417)
| hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X1417),X1418) = X1417 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__])]) ).
fof(i_0_528,plain,
! [X1400,X1401] :
( ~ is_bool(X1400)
| hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X1400),X1401) = X1400 ),
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_529,plain,
! [X1423,X1424] :
( ~ is_fun917378774i_bool(X1423)
| hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X1423),X1424) = X1423 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027])]) ).
fof(i_0_530,plain,
! [X1407,X1408] :
( ~ is_bool(X1407)
| hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X1407),X1408) = X1407 ),
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_531,plain,
! [X1458,X1459] :
( ~ is_fun917378774i_bool(X1458)
| hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X1458),X1459) = X1458 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037])]) ).
fof(i_0_532,plain,
! [X1447,X1448] :
( ~ is_bool(X1447)
| hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X1447),X1448) = X1447 ),
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_533,plain,
! [X1449,X1450] :
( ~ is_fun432044380l_bool(X1449)
| hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X1449),X1450) = X1449 ),
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_035])]) ).
fof(i_0_534,plain,
! [X1434,X1435] :
( ~ is_fun917378774i_bool(X1434)
| hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X1434),X1435) = X1434 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031])]) ).
fof(i_0_535,plain,
! [X1421,X1422] :
( ~ is_bool(X1421)
| hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X1421),X1422) = X1421 ),
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_536,plain,
! [X1411,X1412] :
( ~ is_fun282293932t_bool(X1411)
| hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X1411),X1412) = X1411 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj])]) ).
fof(i_0_537,plain,
! [X1415,X1416] :
( ~ is_fun432044380l_bool(X1415)
| hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X1415),X1416) = X1415 ),
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_538,plain,
! [X1453,X1454] :
( ~ is_fun631676118l_bool(X1453)
| hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X1453),X1454) = X1453 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel])]) ).
fof(i_0_539,plain,
! [X1429,X1430] :
( ~ is_fun959573582l_bool(X1429)
| hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X1429),X1430) = X1429 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje])]) ).
fof(i_0_540,plain,
! [X1419,X1420] :
( ~ is_fun282293932t_bool(X1419)
| hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1419),X1420) = X1419 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026])]) ).
fof(i_0_541,plain,
! [X1425,X1426] :
( ~ is_fun432044380l_bool(X1425)
| hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X1425),X1426) = X1425 ),
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_028])]) ).
fof(i_0_542,plain,
! [X1460,X1461] :
( ~ is_fun631676118l_bool(X1460)
| hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X1460),X1461) = X1460 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038])]) ).
fof(i_0_543,plain,
! [X1436,X1437] :
( ~ is_fun959573582l_bool(X1436)
| hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X1436),X1437) = X1436 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032])]) ).
fof(i_0_544,plain,
! [X1392,X1393] :
( ~ is_bool(X1392)
| hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X1392),X1393) = X1392 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje])]) ).
fof(i_0_545,hypothesis,
! [X866,X867] :
( ~ is_fun432044380l_bool(X866)
| ~ is_fun282293932t_bool(X867)
| is_bool(hAPP_f745298353l_bool(X866,X867)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020])]) ).
fof(i_0_546,plain,
! [X784,X785] :
( ~ is_fun917378774i_bool(X784)
| ~ is_Arr625519182e_indi(X785)
| is_bool(hAPP_A1466488369i_bool(X784,X785)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O])]) ).
fof(i_0_547,plain,
! [X973] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X973),top_to2034604131t_bool)),
inference(variable_rename,[status(thm)],[fact_38_iso__tuple__UNIV__I]) ).
fof(i_0_548,plain,
! [X967] : hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X967),top_to2034604131t_bool)),
inference(variable_rename,[status(thm)],[fact_32_UNIV__I]) ).
fof(i_0_549,plain,
! [X976] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X976),top_to2005687013l_bool)),
inference(variable_rename,[status(thm)],[fact_41_iso__tuple__UNIV__I]) ).
fof(i_0_550,plain,
! [X970] : hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X970),top_to2005687013l_bool)),
inference(variable_rename,[status(thm)],[fact_35_UNIV__I]) ).
fof(i_0_551,plain,
! [X975] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X975),top_to40512653l_bool)),
inference(variable_rename,[status(thm)],[fact_40_iso__tuple__UNIV__I]) ).
fof(i_0_552,plain,
! [X969] : hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X969),top_to40512653l_bool)),
inference(variable_rename,[status(thm)],[fact_34_UNIV__I]) ).
fof(i_0_553,plain,
! [X974] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X974),top_to1194196741l_bool)),
inference(variable_rename,[status(thm)],[fact_39_iso__tuple__UNIV__I]) ).
fof(i_0_554,plain,
! [X968] : hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X968),top_to1194196741l_bool)),
inference(variable_rename,[status(thm)],[fact_33_UNIV__I]) ).
fof(i_0_555,plain,
! [X971] : hBOOL(hAPP_f387058535l_bool(member_bool(X971),top_to1647826457l_bool)),
inference(variable_rename,[status(thm)],[fact_36_iso__tuple__UNIV__I]) ).
fof(i_0_556,plain,
! [X965] : hBOOL(hAPP_f387058535l_bool(member_bool(X965),top_to1647826457l_bool)),
inference(variable_rename,[status(thm)],[fact_30_UNIV__I]) ).
fof(i_0_557,plain,
! [X972] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X972),top_to1256827021i_bool)),
inference(variable_rename,[status(thm)],[fact_37_iso__tuple__UNIV__I]) ).
fof(i_0_558,plain,
! [X966] : hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X966),top_to1256827021i_bool)),
inference(variable_rename,[status(thm)],[fact_31_UNIV__I]) ).
fof(i_0_559,plain,
! [X1413,X1414] : hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X1413),X1414) = X1413,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc]) ).
fof(i_0_560,plain,
! [X1451,X1452] : hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X1451),X1452) = X1451,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036]) ).
fof(i_0_561,plain,
! [X1427,X1428] : hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X1427),X1428) = X1427,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029]) ).
fof(i_0_562,plain,
! [X1409,X1410] : hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X1409),X1410) = X1409,
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_563,plain,
! [X775,X776] :
( ~ is_fun917378774i_bool(X775)
| is_fun1016509681e_indi(hilber1792103167di_nat(X775,X776)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq])]) ).
fof(i_0_564,plain,
! [X864,X865] :
( ~ is_fun282293932t_bool(X865)
| is_Arr625519182e_indi(hAPP_f1659504677e_indi(X864,X865)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__])]) ).
fof(i_0_565,plain,
! [X806,X807] :
( ~ is_fun1016509681e_indi(X806)
| is_Arr625519182e_indi(hAPP_n385347014e_indi(X806,X807)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi])]) ).
fof(i_0_566,plain,
! [X872,X873] :
( ~ is_fun282293932t_bool(X873)
| is_fun282293932t_bool(hAPP_f1673487381t_bool(X872,X873)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023])]) ).
fof(i_0_567,plain,
! [X804,X805] :
( ~ is_bool(X805)
| is_fun282293932t_bool(hAPP_b1024867081t_bool(X804,X805)) ),
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_568,plain,
! [X792,X793] :
( ~ is_Arr625519182e_indi(X793)
| is_fun282293932t_bool(hAPP_A1374816149t_bool(X792,X793)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003])]) ).
fof(i_0_569,plain,
! [X782,X783] :
( ~ is_Arr553848933le_alt(X783)
| is_fun282293932t_bool(hAPP_A619995676t_bool(X782,X783)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc])]) ).
fof(i_0_570,plain,
! [X876,X877] :
( ~ is_fun282293932t_bool(X876)
| is_bool(hAPP_P2075002375t_bool(X876,X877)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024])]) ).
fof(i_0_571,plain,
! [X862,X863] :
( ~ is_fun432044380l_bool(X863)
| is_bool(hAPP_f503012287l_bool(X862,X863)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019])]) ).
fof(i_0_572,plain,
! [X850,X851] :
( ~ is_fun631676118l_bool(X851)
| is_bool(hAPP_f213304539l_bool(X850,X851)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016])]) ).
fof(i_0_573,plain,
! [X832,X833] :
( ~ is_fun631676118l_bool(X832)
| is_bool(hAPP_f785543729l_bool(X832,X833)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012])]) ).
fof(i_0_574,plain,
! [X828,X829] :
( ~ is_fun959573582l_bool(X829)
| is_bool(hAPP_f453661011l_bool(X828,X829)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010])]) ).
fof(i_0_575,plain,
! [X814,X815] :
( ~ is_fun959573582l_bool(X814)
| is_bool(hAPP_f1636546729l_bool(X814,X815)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005])]) ).
fof(i_0_576,plain,
! [X810,X811] :
( ~ is_fun917378774i_bool(X811)
| is_bool(hAPP_f919661787l_bool(X810,X811)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_])]) ).
fof(i_0_577,plain,
! [X794,X795] :
( ~ is_bool(X795)
| is_bool(hAPP_bool_bool(X794,X795)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool])]) ).
fof(i_0_578,plain,
! [X767,X768] :
( ~ is_fun917378774i_bool(X768)
| is_bool(inj_on24934938di_nat(X767,X768)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc])]) ).
fof(i_0_579,plain,
! [X868,X869] :
( ~ is_fun282293932t_bool(X869)
| is_fun917378774i_bool(hAPP_f352490559i_bool(X868,X869)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021])]) ).
fof(i_0_580,plain,
! [X796,X797] :
( ~ is_bool(X797)
| is_fun917378774i_bool(hAPP_b1018211123i_bool(X796,X797)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew])]) ).
fof(i_0_581,plain,
! [X798,X799] :
( ~ is_bool(X799)
| is_fun959573582l_bool(hAPP_b1719629739l_bool(X798,X799)) ),
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_582,plain,
! [X786,X787] :
( ~ is_Arr625519182e_indi(X787)
| is_fun959573582l_bool(hAPP_A1912483895l_bool(X786,X787)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It])]) ).
fof(i_0_583,plain,
! [X769,X770] :
( ~ is_fun917378774i_bool(X769)
| is_fun959573582l_bool(pi_Arr688267935t_bool(X769,X770)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_])]) ).
fof(i_0_584,plain,
! [X870,X871] :
( ~ is_fun282293932t_bool(X871)
| is_fun432044380l_bool(hAPP_f2056167603l_bool(X870,X871)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022])]) ).
fof(i_0_585,plain,
! [X802,X803] :
( ~ is_bool(X803)
| is_fun432044380l_bool(hAPP_b1965422783l_bool(X802,X803)) ),
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_586,plain,
! [X790,X791] :
( ~ is_Arr625519182e_indi(X791)
| is_fun432044380l_bool(hAPP_A1944296755l_bool(X790,X791)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002])]) ).
fof(i_0_587,plain,
! [X773,X774] :
( ~ is_fun282293932t_bool(X773)
| is_fun432044380l_bool(pi_Pro2135156861t_bool(X773,X774)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa])]) ).
fof(i_0_588,plain,
! [X800,X801] :
( ~ is_bool(X801)
| is_fun631676118l_bool(hAPP_b990649139l_bool(X800,X801)) ),
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_589,plain,
! [X788,X789] :
( ~ is_Arr625519182e_indi(X789)
| is_fun631676118l_bool(hAPP_A1964572607l_bool(X788,X789)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001])]) ).
fof(i_0_590,plain,
! [X771,X772] :
( ~ is_fun959573582l_bool(X771)
| is_fun631676118l_bool(pi_fun433100839t_bool(X771,X772)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin])]) ).
fof(i_0_591,plain,
! [X1383] : pi_Pro2135156861t_bool(X1383,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
inference(variable_rename,[status(thm)],[fact_188_Pi__UNIV]) ).
fof(i_0_592,plain,
! [X1384] : pi_fun433100839t_bool(X1384,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
inference(variable_rename,[status(thm)],[fact_189_Pi__UNIV]) ).
fof(i_0_593,plain,
! [X1385] : pi_Arr688267935t_bool(X1385,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
inference(variable_rename,[status(thm)],[fact_190_Pi__UNIV]) ).
fof(i_0_594,plain,
! [X874,X875] : is_Arr625519182e_indi(hAPP_P2024088443e_indi(X874,X875)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_]) ).
fof(i_0_595,plain,
! [X830,X831] : is_Arr625519182e_indi(hAPP_f618619045e_indi(X830,X831)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011]) ).
fof(i_0_596,plain,
! [X812,X813] : is_Arr625519182e_indi(hAPP_f1818473245e_indi(X812,X813)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004]) ).
fof(i_0_597,hypothesis,
! [X820,X821] : is_fun282293932t_bool(hAPP_f695124765t_bool(X820,X821)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008]) ).
fof(i_0_598,plain,
! [X860,X861] : is_bool(hAPP_f460310451l_bool(X860,X861)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje]) ).
fof(i_0_599,plain,
! [X858,X859] : is_bool(hAPP_f526292585l_bool(X858,X859)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018]) ).
fof(i_0_600,plain,
! [X856,X857] : is_bool(hAPP_f592909149l_bool(X856,X857)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel]) ).
fof(i_0_601,plain,
! [X854,X855] : is_bool(hAPP_f1279200745l_bool(X854,X855)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017]) ).
fof(i_0_602,plain,
! [X852,X853] : is_bool(hAPP_f1766869725l_bool(X852,X853)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell]) ).
fof(i_0_603,plain,
! [X848,X849] : is_bool(hAPP_f500145249l_bool(X848,X849)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015]) ).
fof(i_0_604,plain,
! [X846,X847] : is_bool(hAPP_f234874197l_bool(X846,X847)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew]) ).
fof(i_0_605,plain,
! [X844,X845] : is_bool(hAPP_f1895985727l_bool(X844,X845)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____]) ).
fof(i_0_606,plain,
! [X842,X843] : is_bool(hAPP_f1550037191l_bool(X842,X843)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____]) ).
fof(i_0_607,plain,
! [X840,X841] : is_bool(hAPP_f1271180905l_bool(X840,X841)),
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_608,plain,
! [X838,X839] : is_bool(hAPP_f1018082273l_bool(X838,X839)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M]) ).
fof(i_0_609,plain,
! [X836,X837] : is_bool(hAPP_f483434675l_bool(X836,X837)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014]) ).
fof(i_0_610,plain,
! [X826,X827] : is_bool(hAPP_f1012384989l_bool(X826,X827)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009]) ).
fof(i_0_611,plain,
! [X824,X825] : is_bool(hAPP_f204273237l_bool(X824,X825)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O]) ).
fof(i_0_612,plain,
! [X822,X823] : is_bool(hAPP_f387058535l_bool(X822,X823)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool]) ).
fof(i_0_613,plain,
! [X808,X809] : is_bool(hAPP_nat_bool(X808,X809)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool]) ).
fof(i_0_614,plain,
! [X878,X879] : is_fun917378774i_bool(hAPP_P907763049i_bool(X878,X879)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025]) ).
fof(i_0_615,plain,
! [X834,X835] : is_fun917378774i_bool(hAPP_f355113919i_bool(X834,X835)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013]) ).
fof(i_0_616,plain,
! [X816,X817] : is_fun917378774i_bool(hAPP_f749892423i_bool(X816,X817)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006]) ).
fof(i_0_617,plain,
! [X765,X766] : is_fun917378774i_bool(cOMBC_277798809t_bool(X765,X766)),
inference(variable_rename,[status(thm)],[gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__]) ).
fof(i_0_618,plain,
! [X818,X819] : is_fun432044380l_bool(hAPP_f861484971l_bool(X818,X819)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007]) ).
fof(i_0_619,plain,
! [X963] : hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X963)),
inference(variable_rename,[status(thm)],[fact_28_top1I]) ).
fof(i_0_620,plain,
! [X960] : hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X960)),
inference(variable_rename,[status(thm)],[fact_25_top1I]) ).
fof(i_0_621,plain,
! [X962] : hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X962)),
inference(variable_rename,[status(thm)],[fact_27_top1I]) ).
fof(i_0_622,plain,
! [X961] : hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X961)),
inference(variable_rename,[status(thm)],[fact_26_top1I]) ).
fof(i_0_623,plain,
! [X964] : hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X964)),
inference(variable_rename,[status(thm)],[fact_29_top1I]) ).
fof(i_0_624,plain,
! [X781] :
( ~ is_fun282293932t_bool(X781)
| is_fun282293932t_bool(collec1711870802le_alt(X781)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O])]) ).
fof(i_0_625,plain,
! [X777] :
( ~ is_fun917378774i_bool(X777)
| is_fun917378774i_bool(collec45183100e_indi(X777)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi])]) ).
fof(i_0_626,plain,
! [X778] :
( ~ is_fun959573582l_bool(X778)
| is_fun959573582l_bool(collec1580242420t_bool(X778)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi])]) ).
fof(i_0_627,plain,
! [X780] :
( ~ is_fun432044380l_bool(X780)
| is_fun432044380l_bool(collec874260222t_bool(X780)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew])]) ).
fof(i_0_628,plain,
! [X779] :
( ~ is_fun631676118l_bool(X779)
| is_fun631676118l_bool(collec1520786044t_bool(X779)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx])]) ).
fof(i_0_629,plain,
! [X1150] :
( ~ is_fun917378774i_bool(X1150)
| collec45183100e_indi(X1150) = X1150 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_126_Collect__def])]) ).
fof(i_0_630,hypothesis,
! [X880] : is_fun432044380l_bool(member1056080916le_alt(X880)),
inference(variable_rename,[status(thm)],[gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt]) ).
fof(i_0_631,plain,
! [X1406] :
( ~ is_bool(X1406)
| X1406 = fTrue
| X1406 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn])]) ).
fof(i_0_632,plain,
! [X1387] :
( ~ is_bool(X1387)
| X1387 = fTrue
| X1387 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fTrue_1_1_T])]) ).
cnf(i_0_633,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_A1374816149t_bool(X6,esk1_6(X3,X6,X1,X2,X4,X5))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk1_6(X3,X6,X1,X2,X4,X5))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_359]),
[final] ).
cnf(i_0_634,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk1_6(X6,X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_359]),
[final] ).
cnf(i_0_635,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X6)),hAPP_f695124765t_bool(f,X4)))
| X2 = X5
| X1 = X6
| X5 = X6
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk2_6(X4,X3,X5,X6,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X6)),hAPP_A1374816149t_bool(X4,esk2_6(X4,X3,X5,X6,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X6)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_360]),
[final] ).
cnf(i_0_636,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_A1374816149t_bool(X6,esk4_6(X3,X6,X1,X2,X4,X5))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk4_6(X3,X6,X1,X2,X4,X5))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_361]),
[final] ).
cnf(i_0_637,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk4_6(X6,X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_361]),
[final] ).
cnf(i_0_638,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_A1374816149t_bool(X6,esk1_6(X3,X6,X1,X2,X4,X5))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk1_6(X3,X6,X1,X2,X4,X5))))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_359]),
[final] ).
cnf(i_0_639,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk1_6(X6,X3,X4,X5,X1,X2))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_A1374816149t_bool(X6,esk1_6(X6,X3,X4,X5,X1,X2))))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_359]),
[final] ).
cnf(i_0_640,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk2_6(X4,X3,X5,X6,X1,X2))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X6)),hAPP_A1374816149t_bool(X4,esk2_6(X4,X3,X5,X6,X1,X2))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X6)),hAPP_f695124765t_bool(f,X4)))
| X2 = X5
| X1 = X6
| X5 = X6
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X6)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_360]),
[final] ).
cnf(i_0_641,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_A1374816149t_bool(X6,esk4_6(X3,X6,X1,X2,X4,X5))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk4_6(X3,X6,X1,X2,X4,X5))))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_361]),
[final] ).
cnf(i_0_642,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk4_6(X6,X3,X4,X5,X1,X2))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_A1374816149t_bool(X6,esk4_6(X6,X3,X4,X5,X1,X2))))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_361]),
[final] ).
cnf(i_0_643,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk9_5(X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X5,esk9_5(X3,X4,X5,X1,X2))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_644,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X5)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X5,esk9_5(X3,X5,X4,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk9_5(X3,X5,X4,X1,X2))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_645,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X4)),hAPP_f695124765t_bool(f,X5)))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk3_5(X5,X3,X4,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X4)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X3,X4,X1,X2))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_363]),
[final] ).
cnf(i_0_646,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X1)),hAPP_f695124765t_bool(f,X5)))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X1)),hAPP_A1374816149t_bool(X5,esk3_5(X3,X5,X2,X4,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk3_5(X3,X5,X2,X4,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_363]),
[final] ).
cnf(i_0_647,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),hAPP_f695124765t_bool(f,cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),lab),lba))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
inference(split_conjunct,[status(thm)],[i_0_364]),
[final] ).
cnf(i_0_648,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
inference(split_conjunct,[status(thm)],[i_0_365]),
[final] ).
cnf(i_0_649,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk9_5(X3,X4,X5,X1,X2))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X5,esk9_5(X3,X4,X5,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_650,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X5,esk9_5(X3,X5,X4,X1,X2))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X4,esk9_5(X3,X5,X4,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_651,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X4)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk3_5(X5,X3,X4,X1,X2))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X4)),hAPP_A1374816149t_bool(X5,esk3_5(X5,X3,X4,X1,X2))))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_363]),
[final] ).
cnf(i_0_652,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X1)),hAPP_f695124765t_bool(f,X5)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X1)),hAPP_A1374816149t_bool(X5,esk3_5(X3,X5,X2,X4,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk3_5(X3,X5,X2,X4,X1))))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_363]),
[final] ).
cnf(i_0_653,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),hAPP_f695124765t_bool(f,cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),lab),lba)))) ),
inference(split_conjunct,[status(thm)],[i_0_364]),
[final] ).
cnf(i_0_654,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ),
inference(split_conjunct,[status(thm)],[i_0_365]),
[final] ).
cnf(i_0_655,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_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_656,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,e)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_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_657,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_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_658,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))),arrow_413697182e_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_659,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(esk1_6(X3,X6,X1,X2,X4,X5))
| X5 = X1
| X4 = X2
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_359]),
[final] ).
cnf(i_0_660,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(esk1_6(X6,X3,X4,X5,X1,X2))
| X2 = X4
| X1 = X5
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_359]),
[final] ).
cnf(i_0_661,plain,
( is_Arr625519182e_indi(esk2_6(X1,X2,X3,X4,X5,X6))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_f695124765t_bool(f,X1)))
| X6 = X3
| X5 = X4
| X3 = X4
| X5 = X6
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X6)),hAPP_f695124765t_bool(f,X2)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X6) ),
inference(split_conjunct,[status(thm)],[i_0_360]),
[final] ).
cnf(i_0_662,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(esk4_6(X3,X6,X1,X2,X4,X5))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_361]),
[final] ).
cnf(i_0_663,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X5)),hAPP_f695124765t_bool(f,X6)))
| is_Arr625519182e_indi(esk4_6(X6,X3,X4,X5,X1,X2))
| X4 = X5
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X6),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_361]),
[final] ).
cnf(i_0_664,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk5_4(X3,X4,X2,X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk5_4(X3,X4,X2,X1))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_366]),
[final] ).
cnf(i_0_665,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X1,X2))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X1,X2))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_366]),
[final] ).
cnf(i_0_666,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk5_4(X3,X4,X2,X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk5_4(X3,X4,X2,X1))))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_366]),
[final] ).
cnf(i_0_667,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk5_4(X4,X3,X1,X2))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_A1374816149t_bool(X4,esk5_4(X4,X3,X1,X2))))
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_366]),
[final] ).
cnf(i_0_668,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X4,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A1374816149t_bool(X3,esk14_4(X4,X3,X1,X2))))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_367]),
[final] ).
cnf(i_0_669,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X5)))
| is_Arr625519182e_indi(esk9_5(X3,X4,X5,X1,X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_670,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X5)))
| is_Arr625519182e_indi(esk9_5(X3,X5,X4,X1,X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(X3,X4)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_671,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X1)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(esk3_5(X3,X5,X2,X4,X1))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_363]),
[final] ).
cnf(i_0_672,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X4)),hAPP_f695124765t_bool(f,X5)))
| is_Arr625519182e_indi(esk3_5(X5,X3,X4,X1,X2))
| X1 = X4
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X5),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_363]),
[final] ).
cnf(i_0_673,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_674,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_675,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_676,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBC_437064334t_bool(cOMBC_481590946t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),X1)),lab),lba)),arrow_413697182e_Prof)),
inference(split_conjunct,[status(thm)],[i_0_369]),
[final] ).
cnf(i_0_677,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_678,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_679,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_680,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e))) ),
inference(cn,[status(thm)],[i_0_370]),
[final] ).
cnf(i_0_681,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_682,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_683,plain,
( X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X1,X2),esk19_2(X1,X2))),X2))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X1,X2),esk19_2(X1,X2))),X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_371]),
[final] ).
cnf(i_0_684,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hAPP_A588601142di_nat(h,X1) = n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_685,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_686,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e))) ),
inference(cn,[status(thm)],[i_0_372]),
[final] ).
cnf(i_0_687,plain,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_688,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X2),X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X1,X2),esk27_2(X1,X2))),hAPP_f695124765t_bool(X2,esk25_2(X1,X2))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_373]),
[final] ).
cnf(i_0_689,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_690,plain,
( X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X3),X4),X5)))
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X4)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_691,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_692,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,hAPP_A1374816149t_bool(p,X1)),c),e)))
| hAPP_A588601142di_nat(h,X1) != n
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(cn,[status(thm)],[i_0_375]),
[final] ).
cnf(i_0_693,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X1,X2),esk19_2(X1,X2))),X2))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk18_2(X1,X2),esk19_2(X1,X2))),X1))
| X2 = X1
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_371]),
[final] ).
cnf(i_0_694,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(esk5_4(X3,X4,X2,X1))
| X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_366]),
[final] ).
cnf(i_0_695,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),hAPP_f695124765t_bool(f,X4)))
| is_Arr625519182e_indi(esk5_4(X4,X3,X1,X2))
| X1 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_f695124765t_bool(f,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_366]),
[final] ).
cnf(i_0_696,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_697,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_698,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(cn,[status(thm)],[i_0_376]),
[final] ).
cnf(i_0_699,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk26_2(X1,X2),esk27_2(X1,X2))),hAPP_A1374816149t_bool(esk25_2(X1,X2),X1)))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X2),X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_373]),
[final] ).
cnf(i_0_700,plain,
( X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X4),X2)))
| X4 = X2
| X1 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X1)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_701,plain,
( X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X3),X4),X5)))
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| X1 != X4
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_702,plain,
( X1 = X5
| X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X3),X4),X5)))
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X4)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_703,plain,
( X2 = X4
| X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X3),X5),X4)))
| X5 = X4
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X5,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_704,plain,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_705,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk10_1(X1))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk11_1(X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_706,plain,
( X3 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
| X3 = X2
| X4 = X2
| X1 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X4),X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_707,plain,
( X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),X4))
| X3 = X2
| X5 = X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X5),X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_708,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
| X3 = X2
| X1 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X4)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X3),X2)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_709,plain,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)) ),
inference(split_conjunct,[status(thm)],[i_0_316]),
[final] ).
cnf(i_0_710,plain,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e))) ),
inference(cn,[status(thm)],[i_0_377]),
[final] ).
cnf(i_0_711,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_712,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab))
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n)) ),
inference(cn,[status(thm)],[i_0_378]),
[final] ).
cnf(i_0_713,plain,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_368]),
[final] ).
cnf(i_0_714,plain,
( X4 = X5
| X1 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X3),X4),X5)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_715,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk11_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk10_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_716,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk10_1(X1),X2)))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_A1374816149t_bool(esk11_1(X1),X2)))
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_717,plain,
( X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X4),X2)))
| X4 = X2
| X1 != X2
| X3 != X4
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X4,X1)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_718,plain,
( X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X4),X2)))
| X4 = X2
| X1 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_719,plain,
( X1 = X5
| X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X3),X4),X5)))
| X4 = X5
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| X1 != X4
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X5) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_720,plain,
( X2 = X4
| X1 = X4
| X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X3),X5),X4)))
| X5 = X4
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X5)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_721,plain,
( is_Arr625519182e_indi(esk14_4(X1,X2,X3,X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),hAPP_f695124765t_bool(X1,X2)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X4)
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_367]),
[final] ).
cnf(i_0_722,plain,
( X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X4)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X3),X2)))
| X3 = X2
| X1 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X4)),X5))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_723,plain,
( hAPP_A588601142di_nat(h,X1) = n
| hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_A588601142di_nat(h,X1)),n))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,hAPP_A1374816149t_bool(p,X1)),e)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)) ),
inference(cn,[status(thm)],[i_0_379]),
[final] ).
cnf(i_0_724,plain,
( X1 = X2
| hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X3),X1),X2)),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_380]),
[final] ).
cnf(i_0_725,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk10_1(X1))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk12_1(X1),esk13_1(X1))),hAPP_f695124765t_bool(X1,esk11_1(X1))))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_726,plain,
( X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X2)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_381]),
[final] ).
cnf(i_0_727,plain,
( X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X2)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_382]),
[final] ).
cnf(i_0_728,plain,
( X3 = X2
| X3 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X5),X4),X2)))
| X4 = X2
| X1 != X2
| X3 != X4
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X5),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_374]),
[final] ).
cnf(i_0_729,plain,
( X1 = X2
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X3),X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_382]),
[final] ).
cnf(i_0_730,plain,
( X1 = X2
| X2 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X3),X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_381]),
[final] ).
cnf(i_0_731,plain,
( X2 = X4
| X1 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X3),X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_382]),
[final] ).
cnf(i_0_732,plain,
( X1 = X4
| X2 = X4
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X3),X4)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_381]),
[final] ).
cnf(i_0_733,plain,
( X2 = X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_383]),
[final] ).
cnf(i_0_734,plain,
( hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X1),esk17_1(X1))),hAPP_f695124765t_bool(X1,esk15_1(X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_367]),
[final] ).
cnf(i_0_735,plain,
( ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_384]),
[final] ).
cnf(i_0_736,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X4)),X3))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X2,hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X3))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_385]),
[final] ).
cnf(i_0_737,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X4)),X3))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X2,hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X3))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_386]),
[final] ).
cnf(i_0_738,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X2,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X3))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_387]),
[final] ).
cnf(i_0_739,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X2,hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X3))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_388]),
[final] ).
cnf(i_0_740,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X2,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X3))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_389]),
[final] ).
cnf(i_0_741,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X2,hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X3))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_390]),
[final] ).
cnf(i_0_742,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X2,hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X3))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_391]),
[final] ).
cnf(i_0_743,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X2,hAPP_f371807573l_bool(cOMBK_697604314l_bool,X3))))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_392]),
[final] ).
cnf(i_0_744,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X2,hAPP_f813556705l_bool(cOMBK_116240846e_indi,X3))))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_393]),
[final] ).
cnf(i_0_745,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X2,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X3))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_394]),
[final] ).
cnf(i_0_746,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X2,hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X3))))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_395]),
[final] ).
cnf(i_0_747,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X2,hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X3))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_396]),
[final] ).
cnf(i_0_748,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X2,hAPP_f219827985l_bool(cOMBK_886533338t_bool,X3))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_397]),
[final] ).
cnf(i_0_749,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X4)),X3))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X2,hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X3))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_398]),
[final] ).
cnf(i_0_750,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X4)),X3))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X2,hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X3))))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_399]),
[final] ).
cnf(i_0_751,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X4)),X3))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X2,hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X3))))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_400]),
[final] ).
cnf(i_0_752,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X4)),X3))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X2,hAPP_f681113465i_bool(cOMBK_454107598t_bool,X3))))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_401]),
[final] ).
cnf(i_0_753,plain,
( X1 != X2
| X1 != X3
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X2)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_381]),
[final] ).
cnf(i_0_754,plain,
( X1 != X2
| X3 != X1
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X2)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_382]),
[final] ).
cnf(i_0_755,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk25_2(X1,X2)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X2),X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_373]),
[final] ).
cnf(i_0_756,plain,
( X1 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X2)))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_382]),
[final] ).
cnf(i_0_757,plain,
( X1 != X2
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X2)))
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_381]),
[final] ).
cnf(i_0_758,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_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_759,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X4)),hAPP_b1024867081t_bool(X3,X4)))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_402]),
[final] ).
cnf(i_0_760,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_b1817367815le_alt(X1,X4)),hAPP_b1024867081t_bool(X3,X4)))
| ~ hBOOL(hAPP_f1895985727l_bool(member42699324le_alt(X1),pi_boo1877522301le_alt(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_403]),
[final] ).
cnf(i_0_761,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X4)),hAPP_A1374816149t_bool(X3,X4)))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X2,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_404]),
[final] ).
cnf(i_0_762,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(hAPP_A1736628091le_alt(X1,X4)),hAPP_A1374816149t_bool(X3,X4)))
| ~ hBOOL(hAPP_f483434675l_bool(member859582768le_alt(X1),pi_Arr149813489le_alt(X2,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_405]),
[final] ).
cnf(i_0_763,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X4)),hAPP_f861484971l_bool(X3,X4)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X2,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_406]),
[final] ).
cnf(i_0_764,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_f695124765t_bool(X1,X4)),hAPP_f861484971l_bool(X3,X4)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),pi_fun433100839t_bool(X2,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_407]),
[final] ).
cnf(i_0_765,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X4)),hAPP_b1965422783l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_408]),
[final] ).
cnf(i_0_766,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_b1024867081t_bool(X1,X4)),hAPP_b1965422783l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1550037191l_bool(member497701034t_bool(X1),pi_boo2007389459t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_409]),
[final] ).
cnf(i_0_767,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X4)),hAPP_A1944296755l_bool(X3,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X2,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_410]),
[final] ).
cnf(i_0_768,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A1374816149t_bool(X1,X4)),hAPP_A1944296755l_bool(X3,X4)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),pi_Arr688267935t_bool(X2,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_411]),
[final] ).
cnf(i_0_769,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X4)),hAPP_b990649139l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_412]),
[final] ).
cnf(i_0_770,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_b331122225t_bool(X1,X4)),hAPP_b990649139l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1271180905l_bool(member2081512038t_bool(X1),pi_boo71521447t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_413]),
[final] ).
cnf(i_0_771,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X4)),hAPP_A1964572607l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X2,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_414]),
[final] ).
cnf(i_0_772,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(hAPP_A1062826149t_bool(X1,X4)),hAPP_A1964572607l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1012384989l_bool(member1467476314t_bool(X1),pi_Arr372473371t_bool(X2,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_415]),
[final] ).
cnf(i_0_773,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X4)),hAPP_b1719629739l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_416]),
[final] ).
cnf(i_0_774,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_b833696937t_bool(X1,X4)),hAPP_b1719629739l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1018082273l_bool(member1911067358t_bool(X1),pi_boo691944735t_bool(X2,X3)))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_417]),
[final] ).
cnf(i_0_775,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X4)),hAPP_A1912483895l_bool(X3,X4)))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X2,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_418]),
[final] ).
cnf(i_0_776,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_A1594182429t_bool(X1,X4)),hAPP_A1912483895l_bool(X3,X4)))
| ~ hBOOL(hAPP_f204273237l_bool(member1833291218t_bool(X1),pi_Arr1511953043t_bool(X2,X3)))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_419]),
[final] ).
cnf(i_0_777,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X4)),hAPP_P2127852789l_bool(X3,X4)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X2,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_420]),
[final] ).
cnf(i_0_778,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_P2075002375t_bool(X1,X4)),hAPP_P2127852789l_bool(X3,X4)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),pi_Pro2135156861t_bool(X2,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_421]),
[final] ).
cnf(i_0_779,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X4)),hAPP_f417299659l_bool(X3,X4)))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X2,X3)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_422]),
[final] ).
cnf(i_0_780,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f745298353l_bool(X1,X4)),hAPP_f417299659l_bool(X3,X4)))
| ~ hBOOL(hAPP_f526292585l_bool(member1033316428l_bool(X1),pi_fun1727820731l_bool(X2,X3)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_423]),
[final] ).
cnf(i_0_781,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X4)),hAPP_f497468491l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X2,X3)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_424]),
[final] ).
cnf(i_0_782,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f785543729l_bool(X1,X4)),hAPP_f497468491l_bool(X3,X4)))
| ~ hBOOL(hAPP_f1279200745l_bool(member387398118l_bool(X1),pi_fun525942951l_bool(X2,X3)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_425]),
[final] ).
cnf(i_0_783,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X4)),hAPP_f313042899l_bool(X3,X4)))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X2,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_426]),
[final] ).
cnf(i_0_784,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(hAPP_f1636546729l_bool(X1,X4)),hAPP_f313042899l_bool(X3,X4)))
| ~ hBOOL(hAPP_f500145249l_bool(member1661336414l_bool(X1),pi_fun1494794527l_bool(X2,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_427]),
[final] ).
cnf(i_0_785,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X4)),hAPP_P907763049i_bool(X3,X4)))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X2,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_428]),
[final] ).
cnf(i_0_786,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_P2024088443e_indi(X1,X4)),hAPP_P907763049i_bool(X3,X4)))
| ~ hBOOL(hAPP_f460310451l_bool(member765089840e_indi(X1),pi_Pro437273841e_indi(X2,X3)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_429]),
[final] ).
cnf(i_0_787,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X4)),hAPP_f352490559i_bool(X3,X4)))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X2,X3)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_430]),
[final] ).
cnf(i_0_788,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1659504677e_indi(X1,X4)),hAPP_f352490559i_bool(X3,X4)))
| ~ hBOOL(hAPP_f592909149l_bool(member329987264e_indi(X1),pi_fun972956463e_indi(X2,X3)))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_431]),
[final] ).
cnf(i_0_789,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X4)),hAPP_f355113919i_bool(X3,X4)))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X2,X3)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_432]),
[final] ).
cnf(i_0_790,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f618619045e_indi(X1,X4)),hAPP_f355113919i_bool(X3,X4)))
| ~ hBOOL(hAPP_f1766869725l_bool(member1122398042e_indi(X1),pi_fun2075749915e_indi(X2,X3)))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_433]),
[final] ).
cnf(i_0_791,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X4)),hAPP_f749892423i_bool(X3,X4)))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X2,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_434]),
[final] ).
cnf(i_0_792,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(hAPP_f1818473245e_indi(X1,X4)),hAPP_f749892423i_bool(X3,X4)))
| ~ hBOOL(hAPP_f234874197l_bool(member1105181906e_indi(X1),pi_fun1736243859e_indi(X2,X3)))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X4),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_435]),
[final] ).
cnf(i_0_793,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X1),X2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_436]),
[final] ).
cnf(i_0_794,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X1),X2)),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_437]),
[final] ).
cnf(i_0_795,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X2),X1))
| esk26_2(X1,X2) != esk27_2(X1,X2)
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_373]),
[final] ).
cnf(i_0_796,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X3))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X1)),X3))
| X1 = X2
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X3),arrow_1239002508le_Lin))
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_383]),
[final] ).
cnf(i_0_797,plain,
( is_Arr553848933le_alt(esk27_2(X1,X2))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X2),X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_373]),
[final] ).
cnf(i_0_798,plain,
( is_Arr553848933le_alt(esk26_2(X1,X2))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X2),X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))) ),
inference(split_conjunct,[status(thm)],[i_0_373]),
[final] ).
cnf(i_0_799,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(esk16_1(X2),esk17_1(X2))),hAPP_A1374816149t_bool(esk15_1(X2),X1)))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X2))
| ~ is_Arr625519182e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_367]),
[final] ).
cnf(i_0_800,plain,
( X1 = X3
| X3 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X4),X2)))
| X1 != X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_381]),
[final] ).
cnf(i_0_801,plain,
( X3 = X1
| X3 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X4),X2)))
| X1 != X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_382]),
[final] ).
cnf(i_0_802,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_438]),
[final] ).
cnf(i_0_803,plain,
( hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_439]),
[final] ).
cnf(i_0_804,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_440]),
[final] ).
cnf(i_0_805,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_441]),
[final] ).
cnf(i_0_806,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(split_conjunct,[status(thm)],[i_0_442]),
[final] ).
cnf(i_0_807,plain,
( hBOOL(X3)
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_443]),
[final] ).
cnf(i_0_808,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_444]),
[final] ).
cnf(i_0_809,plain,
( X1 = X2
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_445]),
[final] ).
cnf(i_0_810,plain,
( X1 = X2
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_446]),
[final] ).
cnf(i_0_811,plain,
( X2 = X3
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X4))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X4))
| ~ hBOOL(inj_on24934938di_nat(X1,X4))
| ~ is_Arr625519182e_indi(X3)
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[i_0_447]),
[final] ).
cnf(i_0_812,plain,
( X3 = X4
| ~ hBOOL(inj_on24934938di_nat(X1,X2))
| ~ is_Arr625519182e_indi(X3)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X3),X2))
| ~ is_Arr625519182e_indi(X4)
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X4),X2))
| hAPP_A588601142di_nat(X1,X3) != hAPP_A588601142di_nat(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_448]),
[final] ).
cnf(i_0_813,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_449]),
[final] ).
cnf(i_0_814,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_450]),
[final] ).
cnf(i_0_815,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_451]),
[final] ).
cnf(i_0_816,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_452]),
[final] ).
cnf(i_0_817,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_453]),
[final] ).
cnf(i_0_818,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_454]),
[final] ).
cnf(i_0_819,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_455]),
[final] ).
cnf(i_0_820,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_456]),
[final] ).
cnf(i_0_821,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_457]),
[final] ).
cnf(i_0_822,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_458]),
[final] ).
cnf(i_0_823,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_459]),
[final] ).
cnf(i_0_824,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,X2))
| ~ hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(esk7_1(X1),esk8_1(X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_460]),
[final] ).
cnf(i_0_825,plain,
( hilber1792103167di_nat(top_to1256827021i_bool,X2) = X1
| ~ is_fun1016509681e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X2,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X2,hAPP_n385347014e_indi(X1,esk22_2(X1,X2))) != esk22_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_461]),
[final] ).
cnf(i_0_826,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk29_2(X1,X2)),arrow_413697182e_Prof))
| hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_462]),
[final] ).
cnf(i_0_827,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),esk28_2(X1,X2)))
| X1 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_463]),
[final] ).
cnf(i_0_828,plain,
( hAPP_f695124765t_bool(X1,X3) = hAPP_A1374816149t_bool(X3,X2)
| ~ hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X3),arrow_413697182e_Prof)) ),
inference(split_conjunct,[status(thm)],[i_0_462]),
[final] ).
cnf(i_0_829,plain,
( hBOOL(hAPP_A1466488369i_bool(hAPP_f355113919i_bool(arrow_2061665457ctator,X1),X2))
| hAPP_f695124765t_bool(X1,esk29_2(X1,X2)) != hAPP_A1374816149t_bool(esk29_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_462]),
[final] ).
cnf(i_0_830,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1)),arrow_413697182e_Prof))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),arrow_1239002508le_Lin)) ),
inference(split_conjunct,[status(thm)],[i_0_464]),
[final] ).
cnf(i_0_831,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(X3,X2),hAPP_A588601142di_nat(X2,X1)) = X1
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X2,X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_465]),
[final] ).
cnf(i_0_832,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(X3,X2),X4) = X1
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X2,X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| hAPP_A588601142di_nat(X2,X1) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_466]),
[final] ).
cnf(i_0_833,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
inference(split_conjunct,[status(thm)],[i_0_467]),
[final] ).
cnf(i_0_834,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
inference(split_conjunct,[status(thm)],[i_0_468]),
[final] ).
cnf(i_0_835,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk21_2(X1,X2)),X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_448]),
[final] ).
cnf(i_0_836,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(esk20_2(X1,X2)),X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_448]),
[final] ).
cnf(i_0_837,plain,
( hBOOL(hAPP_P2075002375t_bool(X1,produc171383831le_alt(X2,X3)))
| ~ hBOOL(hAPP_P2075002375t_bool(X1,esk6_1(X1)))
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3) ),
inference(split_conjunct,[status(thm)],[i_0_460]),
[final] ).
cnf(i_0_838,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
inference(split_conjunct,[status(thm)],[fact_115_assms_I1_J]),
[final] ).
cnf(i_0_839,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(esk28_2(X1,X2)),arrow_1239002508le_Lin))
| X1 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_463]),
[final] ).
cnf(i_0_840,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_469]),
[final] ).
cnf(i_0_841,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_454]),
[final] ).
cnf(i_0_842,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_470]),
[final] ).
cnf(i_0_843,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_471]),
[final] ).
cnf(i_0_844,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_472]),
[final] ).
cnf(i_0_845,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_473]),
[final] ).
cnf(i_0_846,plain,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj]),
[final] ).
cnf(i_0_847,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_474]),
[final] ).
cnf(i_0_848,plain,
( ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool))
| X1 != top_to2034604131t_bool
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_475]),
[final] ).
cnf(i_0_849,plain,
( ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool))
| X1 != top_to2005687013l_bool
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_476]),
[final] ).
cnf(i_0_850,plain,
( ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool))
| X1 != top_to40512653l_bool
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_477]),
[final] ).
cnf(i_0_851,plain,
( ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool))
| X1 != top_to1194196741l_bool
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_478]),
[final] ).
cnf(i_0_852,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool))
| X1 != top_to1256827021i_bool
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_479]),
[final] ).
cnf(i_0_853,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_480]),
[final] ).
cnf(i_0_854,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_481]),
[final] ).
cnf(i_0_855,plain,
( ~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_482]),
[final] ).
cnf(i_0_856,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_469]),
[final] ).
cnf(i_0_857,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_469]),
[final] ).
cnf(i_0_858,plain,
( X1 != X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_454]),
[final] ).
cnf(i_0_859,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_483]),
[final] ).
cnf(i_0_860,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_484]),
[final] ).
cnf(i_0_861,plain,
( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_485]),
[final] ).
cnf(i_0_862,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_474]),
[final] ).
cnf(i_0_863,plain,
( X1 = X2
| ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_486]),
[final] ).
cnf(i_0_864,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_487]),
[final] ).
cnf(i_0_865,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_488]),
[final] ).
cnf(i_0_866,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
inference(split_conjunct,[status(thm)],[fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096]),
[final] ).
cnf(i_0_867,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
inference(split_conjunct,[status(thm)],[fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096]),
[final] ).
cnf(i_0_868,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X2),hAPP_A588601142di_nat(X2,X1)) = X1
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X2,top_to1256827021i_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_489]),
[final] ).
cnf(i_0_869,plain,
( hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X2),X3) = X1
| ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X2,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_490]),
[final] ).
cnf(i_0_870,plain,
( hAPP_A588601142di_nat(X1,esk20_2(X1,X2)) = hAPP_A588601142di_nat(X1,esk21_2(X1,X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_448]),
[final] ).
cnf(i_0_871,plain,
~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_491]),
[final] ).
cnf(i_0_872,plain,
~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_492]),
[final] ).
cnf(i_0_873,plain,
~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_493]),
[final] ).
cnf(i_0_874,plain,
~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_494]),
[final] ).
cnf(i_0_875,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,top_to1256827021i_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_495]),
[final] ).
cnf(i_0_876,plain,
~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_bool,top_top_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_496]),
[final] ).
cnf(i_0_877,plain,
hAPP_A1333445289t_bool(cOMBS_102864562t_bool(X1,X2),X3) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1,X3),hAPP_A1374816149t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_497]),
[final] ).
cnf(i_0_878,plain,
hAPP_A1374816149t_bool(cOMBS_867867294t_bool(X1,X2),X3) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1,X3),hAPP_A1374816149t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_498]),
[final] ).
cnf(i_0_879,plain,
( X1 = X2
| ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X2)
| ~ hBOOL(inj_on24934938di_nat(X3,top_to1256827021i_bool))
| hAPP_A588601142di_nat(X3,X1) != hAPP_A588601142di_nat(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_499]),
[final] ).
cnf(i_0_880,plain,
( X2 = X3
| hAPP_A588601142di_nat(X1,X2) != hAPP_A588601142di_nat(X1,X3)
| ~ hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| ~ is_Arr625519182e_indi(X2)
| ~ is_Arr625519182e_indi(X3) ),
inference(split_conjunct,[status(thm)],[i_0_500]),
[final] ).
cnf(i_0_881,plain,
( hBOOL(hAPP_P2075002375t_bool(X2,X1))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_501]),
[final] ).
cnf(i_0_882,plain,
( hBOOL(hAPP_f745298353l_bool(X2,X1))
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_502]),
[final] ).
cnf(i_0_883,plain,
( hBOOL(hAPP_f785543729l_bool(X2,X1))
| ~ hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_503]),
[final] ).
cnf(i_0_884,plain,
( hBOOL(hAPP_f1636546729l_bool(X2,X1))
| ~ hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_504]),
[final] ).
cnf(i_0_885,plain,
( hBOOL(hAPP_bool_bool(X2,X1))
| ~ hBOOL(hAPP_f387058535l_bool(member_bool(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_505]),
[final] ).
cnf(i_0_886,plain,
( hBOOL(hAPP_A1466488369i_bool(X2,X1))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_506]),
[final] ).
cnf(i_0_887,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk15_1(X1)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_367]),
[final] ).
cnf(i_0_888,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk11_1(X1)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_889,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(esk10_1(X1)),arrow_413697182e_Prof))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_890,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X2),X1))
| ~ hBOOL(hAPP_P2075002375t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_501]),
[final] ).
cnf(i_0_891,plain,
( hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X2),X1))
| ~ hBOOL(hAPP_f745298353l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_502]),
[final] ).
cnf(i_0_892,plain,
( hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X2),X1))
| ~ hBOOL(hAPP_f785543729l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_503]),
[final] ).
cnf(i_0_893,plain,
( hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X2),X1))
| ~ hBOOL(hAPP_f1636546729l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_504]),
[final] ).
cnf(i_0_894,plain,
( hBOOL(hAPP_f387058535l_bool(member_bool(X2),X1))
| ~ hBOOL(hAPP_bool_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_505]),
[final] ).
cnf(i_0_895,plain,
( hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X2),X1))
| ~ hBOOL(hAPP_A1466488369i_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_506]),
[final] ).
cnf(i_0_896,plain,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fTrue),X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_507]),
[final] ).
cnf(i_0_897,plain,
( hAPP_f1673487381t_bool(hAPP_f159424297t_bool(hAPP_b1915039793t_bool(if_fun1419651289t_bool,fFalse),X2),X1) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_508]),
[final] ).
cnf(i_0_898,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_474]),
[final] ).
cnf(i_0_899,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_474]),
[final] ).
cnf(i_0_900,plain,
( X1 = top_to2034604131t_bool
| hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,X1),top_to2034604131t_bool))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_475]),
[final] ).
cnf(i_0_901,plain,
( X1 = top_to2005687013l_bool
| hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,X1),top_to2005687013l_bool))
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_476]),
[final] ).
cnf(i_0_902,plain,
( X1 = top_to40512653l_bool
| hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,X1),top_to40512653l_bool))
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_477]),
[final] ).
cnf(i_0_903,plain,
( X1 = top_to1194196741l_bool
| hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,X1),top_to1194196741l_bool))
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_478]),
[final] ).
cnf(i_0_904,plain,
( X1 = top_to1256827021i_bool
| hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),top_to1256827021i_bool))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_479]),
[final] ).
cnf(i_0_905,plain,
hAPP_A1333445289t_bool(cOMBC_481590946t_bool(X1,X2),X3) = hAPP_f159424297t_bool(hAPP_A869356733t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_509]),
[final] ).
cnf(i_0_906,plain,
hAPP_A702630576t_bool(cOMBC_493523632t_bool(X1,X2),X3) = hAPP_A384644407t_bool(hAPP_A460042315t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_510]),
[final] ).
cnf(i_0_907,plain,
hAPP_A1374816149t_bool(cOMBC_437064334t_bool(X1,X2),X3) = hAPP_f1673487381t_bool(hAPP_A1333445289t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_511]),
[final] ).
cnf(i_0_908,plain,
hAPP_A1466488369i_bool(cOMBC_277798809t_bool(X1,X2),X3) = hAPP_nat_bool(hAPP_A1922697556t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_512]),
[final] ).
cnf(i_0_909,plain,
hAPP_A1374816149t_bool(cOMBC_1778077589t_bool(X1,X2),X3) = hAPP_A619995676t_bool(hAPP_A702630576t_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_513]),
[final] ).
cnf(i_0_910,plain,
hAPP_A869356733t_bool(cOMBB_963584201e_indi(X1,X2),X3) = hAPP_b1915039793t_bool(X1,hAPP_A1466488369i_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_514]),
[final] ).
cnf(i_0_911,plain,
hAPP_A460042315t_bool(cOMBB_69933763e_indi(X1,X2),X3) = hAPP_f1336478923t_bool(X1,hAPP_A1374816149t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_515]),
[final] ).
cnf(i_0_912,plain,
hAPP_A702630576t_bool(cOMBB_1292070696e_indi(X1,X2),X3) = hAPP_f1290184496t_bool(X1,hAPP_A1374816149t_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_516]),
[final] ).
cnf(i_0_913,plain,
hAPP_A1922697556t_bool(cOMBB_317992461e_indi(X1,X2),X3) = hAPP_n1699378549t_bool(X1,hAPP_A588601142di_nat(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_517]),
[final] ).
cnf(i_0_914,plain,
( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_518]),
[final] ).
cnf(i_0_915,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
inference(split_conjunct,[status(thm)],[fact_19_n_I1_J]),
[final] ).
cnf(i_0_916,plain,
( X1 = X2
| produc171383831le_alt(X1,X3) != produc171383831le_alt(X2,X4)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_519]),
[final] ).
cnf(i_0_917,plain,
( X1 = X2
| produc171383831le_alt(X1,X3) != produc171383831le_alt(X2,X4)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X4) ),
inference(split_conjunct,[status(thm)],[i_0_520]),
[final] ).
cnf(i_0_918,plain,
( X1 = X2
| produc171383831le_alt(X3,X1) != produc171383831le_alt(X4,X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_519]),
[final] ).
cnf(i_0_919,plain,
( X1 = X2
| produc171383831le_alt(X3,X1) != produc171383831le_alt(X4,X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X4)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_520]),
[final] ).
cnf(i_0_920,plain,
( hBOOL(inj_on24934938di_nat(X1,X2))
| esk20_2(X1,X2) != esk21_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_448]),
[final] ).
cnf(i_0_921,plain,
( hAPP_A588601142di_nat(X1,esk23_1(X1)) = hAPP_A588601142di_nat(X1,esk24_1(X1))
| hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_521]),
[final] ).
cnf(i_0_922,plain,
( is_Arr625519182e_indi(esk21_2(X1,X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_448]),
[final] ).
cnf(i_0_923,plain,
( is_Arr625519182e_indi(esk20_2(X1,X2))
| hBOOL(inj_on24934938di_nat(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_448]),
[final] ).
cnf(i_0_924,plain,
( is_Arr553848933le_alt(esk19_2(X1,X2))
| X2 = X1
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_371]),
[final] ).
cnf(i_0_925,plain,
( is_Arr553848933le_alt(esk18_2(X1,X2))
| X2 = X1
| ~ is_fun282293932t_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_371]),
[final] ).
cnf(i_0_926,plain,
( is_fun282293932t_bool(esk28_2(X1,X2))
| X1 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2) ),
inference(split_conjunct,[status(thm)],[i_0_463]),
[final] ).
cnf(i_0_927,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_522]),
[final] ).
cnf(i_0_928,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_523]),
[final] ).
cnf(i_0_929,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_524]),
[final] ).
cnf(i_0_930,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_525]),
[final] ).
cnf(i_0_931,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_526]),
[final] ).
cnf(i_0_932,plain,
( hAPP_P907763049i_bool(hAPP_f1970593179i_bool(cOMBK_100791596le_alt,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_527]),
[final] ).
cnf(i_0_933,plain,
( hAPP_P2075002375t_bool(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_528]),
[final] ).
cnf(i_0_934,plain,
( hAPP_f352490559i_bool(hAPP_f1903519657i_bool(cOMBK_2076140708t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_529]),
[final] ).
cnf(i_0_935,plain,
( hAPP_f745298353l_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_530]),
[final] ).
cnf(i_0_936,plain,
( hAPP_f355113919i_bool(hAPP_f1677452273i_bool(cOMBK_1372975190t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_531]),
[final] ).
cnf(i_0_937,plain,
( hAPP_f785543729l_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_532]),
[final] ).
cnf(i_0_938,plain,
( hAPP_f861484971l_bool(hAPP_f20355883l_bool(cOMBK_1088865252t_bool,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_533]),
[final] ).
cnf(i_0_939,plain,
( hAPP_f749892423i_bool(hAPP_f681113465i_bool(cOMBK_454107598t_bool,X1),X2) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_534]),
[final] ).
cnf(i_0_940,plain,
( hAPP_f1636546729l_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_535]),
[final] ).
cnf(i_0_941,plain,
( hAPP_b1024867081t_bool(hAPP_f1520552209t_bool(cOMBK_697786936l_bool,X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_536]),
[final] ).
cnf(i_0_942,plain,
( hAPP_b1965422783l_bool(hAPP_f2135750719l_bool(cOMBK_971068024l_bool,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_537]),
[final] ).
cnf(i_0_943,plain,
( hAPP_b990649139l_bool(hAPP_f448497509l_bool(cOMBK_1268833122l_bool,X1),X2) = X1
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_538]),
[final] ).
cnf(i_0_944,plain,
( hAPP_b1719629739l_bool(hAPP_f371807573l_bool(cOMBK_697604314l_bool,X1),X2) = X1
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_539]),
[final] ).
cnf(i_0_945,plain,
( hAPP_A1374816149t_bool(hAPP_f1507266205t_bool(cOMBK_1152753196e_indi,X1),X2) = X1
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_540]),
[final] ).
cnf(i_0_946,plain,
( hAPP_A1944296755l_bool(hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,X1),X2) = X1
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_541]),
[final] ).
cnf(i_0_947,plain,
( hAPP_A1964572607l_bool(hAPP_f1697527281l_bool(cOMBK_1292462166e_indi,X1),X2) = X1
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_542]),
[final] ).
cnf(i_0_948,plain,
( hAPP_A1912483895l_bool(hAPP_f813556705l_bool(cOMBK_116240846e_indi,X1),X2) = X1
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_543]),
[final] ).
cnf(i_0_949,plain,
( hAPP_A1466488369i_bool(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_544]),
[final] ).
cnf(i_0_950,hypothesis,
( is_bool(hAPP_f745298353l_bool(X1,X2))
| ~ is_fun432044380l_bool(X1)
| ~ is_fun282293932t_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_545]),
[final] ).
cnf(i_0_951,plain,
( is_bool(hAPP_A1466488369i_bool(X1,X2))
| ~ is_fun917378774i_bool(X1)
| ~ is_Arr625519182e_indi(X2) ),
inference(split_conjunct,[status(thm)],[i_0_546]),
[final] ).
cnf(i_0_952,plain,
( is_Arr553848933le_alt(esk8_1(X1))
| hBOOL(hAPP_P2075002375t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_460]),
[final] ).
cnf(i_0_953,plain,
( is_Arr553848933le_alt(esk7_1(X1))
| hBOOL(hAPP_P2075002375t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_460]),
[final] ).
cnf(i_0_954,plain,
( hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool))
| esk23_1(X1) != esk24_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_521]),
[final] ).
cnf(i_0_955,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),top_to2034604131t_bool)),
inference(split_conjunct,[status(thm)],[i_0_547]),
[final] ).
cnf(i_0_956,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(X1),top_to2034604131t_bool)),
inference(split_conjunct,[status(thm)],[i_0_548]),
[final] ).
cnf(i_0_957,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),top_to2005687013l_bool)),
inference(split_conjunct,[status(thm)],[i_0_549]),
[final] ).
cnf(i_0_958,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X1),top_to2005687013l_bool)),
inference(split_conjunct,[status(thm)],[i_0_550]),
[final] ).
cnf(i_0_959,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),top_to40512653l_bool)),
inference(split_conjunct,[status(thm)],[i_0_551]),
[final] ).
cnf(i_0_960,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(X1),top_to40512653l_bool)),
inference(split_conjunct,[status(thm)],[i_0_552]),
[final] ).
cnf(i_0_961,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),top_to1194196741l_bool)),
inference(split_conjunct,[status(thm)],[i_0_553]),
[final] ).
cnf(i_0_962,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(X1),top_to1194196741l_bool)),
inference(split_conjunct,[status(thm)],[i_0_554]),
[final] ).
cnf(i_0_963,plain,
hBOOL(hAPP_f387058535l_bool(member_bool(X1),top_to1647826457l_bool)),
inference(split_conjunct,[status(thm)],[i_0_555]),
[final] ).
cnf(i_0_964,plain,
hBOOL(hAPP_f387058535l_bool(member_bool(X1),top_to1647826457l_bool)),
inference(split_conjunct,[status(thm)],[i_0_556]),
[final] ).
cnf(i_0_965,plain,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),top_to1256827021i_bool)),
inference(split_conjunct,[status(thm)],[i_0_557]),
[final] ).
cnf(i_0_966,plain,
hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),top_to1256827021i_bool)),
inference(split_conjunct,[status(thm)],[i_0_558]),
[final] ).
cnf(i_0_967,plain,
( is_Arr553848933le_alt(esk17_1(X1))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_367]),
[final] ).
cnf(i_0_968,plain,
( is_Arr553848933le_alt(esk16_1(X1))
| hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_367]),
[final] ).
cnf(i_0_969,plain,
( is_Arr553848933le_alt(esk13_1(X1))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_970,plain,
( is_Arr553848933le_alt(esk12_1(X1))
| hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_362]),
[final] ).
cnf(i_0_971,plain,
( is_Arr625519182e_indi(esk24_1(X1))
| hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_521]),
[final] ).
cnf(i_0_972,plain,
( is_Arr625519182e_indi(esk23_1(X1))
| hBOOL(inj_on24934938di_nat(X1,top_to1256827021i_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_521]),
[final] ).
cnf(i_0_973,plain,
hAPP_f417299659l_bool(hAPP_f1667233577l_bool(cOMBK_1015076504t_bool,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_559]),
[final] ).
cnf(i_0_974,plain,
hAPP_f497468491l_bool(hAPP_f1235573641l_bool(cOMBK_1072228194t_bool,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_560]),
[final] ).
cnf(i_0_975,plain,
hAPP_f313042899l_bool(hAPP_f219827985l_bool(cOMBK_886533338t_bool,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_561]),
[final] ).
cnf(i_0_976,plain,
hAPP_P2127852789l_bool(hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_562]),
[final] ).
cnf(i_0_977,plain,
( is_fun1016509681e_indi(hilber1792103167di_nat(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_563]),
[final] ).
cnf(i_0_978,plain,
( is_Arr625519182e_indi(hAPP_f1659504677e_indi(X2,X1))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_564]),
[final] ).
cnf(i_0_979,plain,
( is_Arr625519182e_indi(hAPP_n385347014e_indi(X1,X2))
| ~ is_fun1016509681e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_565]),
[final] ).
cnf(i_0_980,plain,
( is_fun282293932t_bool(hAPP_f1673487381t_bool(X2,X1))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_566]),
[final] ).
cnf(i_0_981,plain,
( is_fun282293932t_bool(hAPP_b1024867081t_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_567]),
[final] ).
cnf(i_0_982,plain,
( is_fun282293932t_bool(hAPP_A1374816149t_bool(X2,X1))
| ~ is_Arr625519182e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_568]),
[final] ).
cnf(i_0_983,plain,
( is_fun282293932t_bool(hAPP_A619995676t_bool(X2,X1))
| ~ is_Arr553848933le_alt(X1) ),
inference(split_conjunct,[status(thm)],[i_0_569]),
[final] ).
cnf(i_0_984,plain,
( is_bool(hAPP_P2075002375t_bool(X1,X2))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_570]),
[final] ).
cnf(i_0_985,plain,
( is_bool(hAPP_f503012287l_bool(X2,X1))
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_571]),
[final] ).
cnf(i_0_986,plain,
( is_bool(hAPP_f213304539l_bool(X2,X1))
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_572]),
[final] ).
cnf(i_0_987,plain,
( is_bool(hAPP_f785543729l_bool(X1,X2))
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_573]),
[final] ).
cnf(i_0_988,plain,
( is_bool(hAPP_f453661011l_bool(X2,X1))
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_574]),
[final] ).
cnf(i_0_989,plain,
( is_bool(hAPP_f1636546729l_bool(X1,X2))
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_575]),
[final] ).
cnf(i_0_990,plain,
( is_bool(hAPP_f919661787l_bool(X2,X1))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_576]),
[final] ).
cnf(i_0_991,plain,
( is_bool(hAPP_bool_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_577]),
[final] ).
cnf(i_0_992,plain,
( is_bool(inj_on24934938di_nat(X2,X1))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_578]),
[final] ).
cnf(i_0_993,plain,
( is_fun917378774i_bool(hAPP_f352490559i_bool(X2,X1))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_579]),
[final] ).
cnf(i_0_994,plain,
( is_fun917378774i_bool(hAPP_b1018211123i_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_580]),
[final] ).
cnf(i_0_995,plain,
( is_fun959573582l_bool(hAPP_b1719629739l_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_581]),
[final] ).
cnf(i_0_996,plain,
( is_fun959573582l_bool(hAPP_A1912483895l_bool(X2,X1))
| ~ is_Arr625519182e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_582]),
[final] ).
cnf(i_0_997,plain,
( is_fun959573582l_bool(pi_Arr688267935t_bool(X1,X2))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_583]),
[final] ).
cnf(i_0_998,plain,
( is_fun432044380l_bool(hAPP_f2056167603l_bool(X2,X1))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_584]),
[final] ).
cnf(i_0_999,plain,
( is_fun432044380l_bool(hAPP_b1965422783l_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_585]),
[final] ).
cnf(i_0_1000,plain,
( is_fun432044380l_bool(hAPP_A1944296755l_bool(X2,X1))
| ~ is_Arr625519182e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_586]),
[final] ).
cnf(i_0_1001,plain,
( is_fun432044380l_bool(pi_Pro2135156861t_bool(X1,X2))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_587]),
[final] ).
cnf(i_0_1002,plain,
( is_fun631676118l_bool(hAPP_b990649139l_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_588]),
[final] ).
cnf(i_0_1003,plain,
( is_fun631676118l_bool(hAPP_A1964572607l_bool(X2,X1))
| ~ is_Arr625519182e_indi(X1) ),
inference(split_conjunct,[status(thm)],[i_0_589]),
[final] ).
cnf(i_0_1004,plain,
( is_fun631676118l_bool(pi_fun433100839t_bool(X1,X2))
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_590]),
[final] ).
cnf(i_0_1005,plain,
pi_Pro2135156861t_bool(X1,hAPP_f1724001331l_bool(cOMBK_2008994872le_alt,top_to1647826457l_bool)) = top_to2005687013l_bool,
inference(split_conjunct,[status(thm)],[i_0_591]),
[final] ).
cnf(i_0_1006,plain,
pi_fun433100839t_bool(X1,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,top_to2005687013l_bool)) = top_to40512653l_bool,
inference(split_conjunct,[status(thm)],[i_0_592]),
[final] ).
cnf(i_0_1007,plain,
pi_Arr688267935t_bool(X1,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,top_to2005687013l_bool)) = top_to1194196741l_bool,
inference(split_conjunct,[status(thm)],[i_0_593]),
[final] ).
cnf(i_0_1008,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
inference(split_conjunct,[status(thm)],[fact_116__096Lba_A_058_ALin_096]),
[final] ).
cnf(i_0_1009,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
inference(split_conjunct,[status(thm)],[fact_117__096Lab_A_058_ALin_096]),
[final] ).
cnf(i_0_1010,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
inference(split_conjunct,[status(thm)],[fact_3__096P_A_058_AProf_096]),
[final] ).
cnf(i_0_1011,plain,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
inference(split_conjunct,[status(thm)],[fact_169_Prof__def]),
[final] ).
cnf(i_0_1012,plain,
( hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_522]),
[final] ).
cnf(i_0_1013,plain,
( hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_523]),
[final] ).
cnf(i_0_1014,plain,
( hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_524]),
[final] ).
cnf(i_0_1015,plain,
( hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_525]),
[final] ).
cnf(i_0_1016,plain,
( hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1))
| ~ hBOOL(top_top_bool) ),
inference(split_conjunct,[status(thm)],[i_0_526]),
[final] ).
cnf(i_0_1017,plain,
is_Arr625519182e_indi(hAPP_P2024088443e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_594]),
[final] ).
cnf(i_0_1018,plain,
is_Arr625519182e_indi(hAPP_f618619045e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_595]),
[final] ).
cnf(i_0_1019,plain,
is_Arr625519182e_indi(hAPP_f1818473245e_indi(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_596]),
[final] ).
cnf(i_0_1020,hypothesis,
is_fun282293932t_bool(hAPP_f695124765t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_597]),
[final] ).
cnf(i_0_1021,plain,
is_bool(hAPP_f460310451l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_598]),
[final] ).
cnf(i_0_1022,plain,
is_bool(hAPP_f526292585l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_599]),
[final] ).
cnf(i_0_1023,plain,
is_bool(hAPP_f592909149l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_600]),
[final] ).
cnf(i_0_1024,plain,
is_bool(hAPP_f1279200745l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_601]),
[final] ).
cnf(i_0_1025,plain,
is_bool(hAPP_f1766869725l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_602]),
[final] ).
cnf(i_0_1026,plain,
is_bool(hAPP_f500145249l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_603]),
[final] ).
cnf(i_0_1027,plain,
is_bool(hAPP_f234874197l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_604]),
[final] ).
cnf(i_0_1028,plain,
is_bool(hAPP_f1895985727l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_605]),
[final] ).
cnf(i_0_1029,plain,
is_bool(hAPP_f1550037191l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_606]),
[final] ).
cnf(i_0_1030,plain,
is_bool(hAPP_f1271180905l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_607]),
[final] ).
cnf(i_0_1031,plain,
is_bool(hAPP_f1018082273l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_608]),
[final] ).
cnf(i_0_1032,plain,
is_bool(hAPP_f483434675l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_609]),
[final] ).
cnf(i_0_1033,plain,
is_bool(hAPP_f1012384989l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_610]),
[final] ).
cnf(i_0_1034,plain,
is_bool(hAPP_f204273237l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_611]),
[final] ).
cnf(i_0_1035,plain,
is_bool(hAPP_f387058535l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_612]),
[final] ).
cnf(i_0_1036,plain,
is_bool(hAPP_nat_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_613]),
[final] ).
cnf(i_0_1037,plain,
is_fun917378774i_bool(hAPP_P907763049i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_614]),
[final] ).
cnf(i_0_1038,plain,
is_fun917378774i_bool(hAPP_f355113919i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_615]),
[final] ).
cnf(i_0_1039,plain,
is_fun917378774i_bool(hAPP_f749892423i_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_616]),
[final] ).
cnf(i_0_1040,plain,
is_fun917378774i_bool(cOMBC_277798809t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_617]),
[final] ).
cnf(i_0_1041,plain,
is_fun432044380l_bool(hAPP_f861484971l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_618]),
[final] ).
cnf(i_0_1042,plain,
hBOOL(hAPP_P2075002375t_bool(top_to2034604131t_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_619]),
[final] ).
cnf(i_0_1043,plain,
hBOOL(hAPP_f745298353l_bool(top_to2005687013l_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_620]),
[final] ).
cnf(i_0_1044,plain,
hBOOL(hAPP_f785543729l_bool(top_to40512653l_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_621]),
[final] ).
cnf(i_0_1045,plain,
hBOOL(hAPP_f1636546729l_bool(top_to1194196741l_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_622]),
[final] ).
cnf(i_0_1046,plain,
hBOOL(hAPP_A1466488369i_bool(top_to1256827021i_bool,X1)),
inference(split_conjunct,[status(thm)],[i_0_623]),
[final] ).
cnf(i_0_1047,plain,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
inference(split_conjunct,[status(thm)],[fact_1_u]),
[final] ).
cnf(i_0_1048,plain,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
inference(split_conjunct,[status(thm)],[fact_0_assms_I3_J]),
[final] ).
cnf(i_0_1049,plain,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
inference(split_conjunct,[status(thm)],[fact_20_injh]),
[final] ).
cnf(i_0_1050,plain,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
inference(split_conjunct,[status(thm)],[fact_94_UNIV__def]),
[final] ).
cnf(i_0_1051,plain,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[fact_91_UNIV__def]),
[final] ).
cnf(i_0_1052,plain,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[fact_93_UNIV__def]),
[final] ).
cnf(i_0_1053,plain,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[fact_92_UNIV__def]),
[final] ).
cnf(i_0_1054,plain,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
inference(split_conjunct,[status(thm)],[fact_95_UNIV__def]),
[final] ).
cnf(i_0_1055,plain,
( is_fun282293932t_bool(collec1711870802le_alt(X1))
| ~ is_fun282293932t_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_624]),
[final] ).
cnf(i_0_1056,plain,
( is_fun917378774i_bool(collec45183100e_indi(X1))
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_625]),
[final] ).
cnf(i_0_1057,plain,
( is_fun959573582l_bool(collec1580242420t_bool(X1))
| ~ is_fun959573582l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_626]),
[final] ).
cnf(i_0_1058,plain,
( is_fun432044380l_bool(collec874260222t_bool(X1))
| ~ is_fun432044380l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_627]),
[final] ).
cnf(i_0_1059,plain,
( is_fun631676118l_bool(collec1520786044t_bool(X1))
| ~ is_fun631676118l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_628]),
[final] ).
cnf(i_0_1060,plain,
( collec45183100e_indi(X1) = X1
| ~ is_fun917378774i_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_629]),
[final] ).
cnf(i_0_1061,hypothesis,
is_fun432044380l_bool(member1056080916le_alt(X1)),
inference(split_conjunct,[status(thm)],[i_0_630]),
[final] ).
cnf(i_0_1062,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_631]),
[final] ).
cnf(i_0_1063,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_632]),
[final] ).
cnf(i_0_1064,plain,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi]),
[final] ).
cnf(i_0_1065,plain,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt]),
[final] ).
cnf(i_0_1066,plain,
hBOOL(fTrue),
inference(split_conjunct,[status(thm)],[help_fTrue_1_1_U]),
[final] ).
cnf(i_0_1067,plain,
is_Arr553848933le_alt(e),
inference(split_conjunct,[status(thm)],[gsy_v_e____]),
[final] ).
cnf(i_0_1068,hypothesis,
is_Arr553848933le_alt(d),
inference(split_conjunct,[status(thm)],[gsy_v_d____]),
[final] ).
cnf(i_0_1069,hypothesis,
is_Arr553848933le_alt(c),
inference(split_conjunct,[status(thm)],[gsy_v_c____]),
[final] ).
cnf(i_0_1070,plain,
is_Arr553848933le_alt(b),
inference(split_conjunct,[status(thm)],[gsy_v_b____]),
[final] ).
cnf(i_0_1071,plain,
is_Arr553848933le_alt(a),
inference(split_conjunct,[status(thm)],[gsy_v_a____]),
[final] ).
cnf(i_0_1072,plain,
is_fun282293932t_bool(lba),
inference(split_conjunct,[status(thm)],[gsy_v_Lba____]),
[final] ).
cnf(i_0_1073,plain,
is_fun282293932t_bool(lab),
inference(split_conjunct,[status(thm)],[gsy_v_Lab____]),
[final] ).
cnf(i_0_1074,plain,
is_fun282293932t_bool(top_to2034604131t_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir]),
[final] ).
cnf(i_0_1075,plain,
is_bool(fTrue),
inference(split_conjunct,[status(thm)],[gsy_c_fTrue]),
[final] ).
cnf(i_0_1076,plain,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[gsy_c_fFalse]),
[final] ).
cnf(i_0_1077,plain,
is_bool(top_top_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool]),
[final] ).
cnf(i_0_1078,plain,
is_fun917378774i_bool(top_to1256827021i_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____]),
[final] ).
cnf(i_0_1079,plain,
is_fun959573582l_bool(top_to1194196741l_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira]),
[final] ).
cnf(i_0_1080,plain,
is_fun959573582l_bool(arrow_413697182e_Prof),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf]),
[final] ).
cnf(i_0_1081,plain,
is_fun432044380l_bool(top_to2005687013l_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_1082,plain,
is_fun432044380l_bool(arrow_1239002508le_Lin),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin]),
[final] ).
cnf(i_0_1083,plain,
is_fun631676118l_bool(top_to40512653l_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_1084,plain,
is_fun631676118l_bool(arrow_467566751nimity),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity]),
[final] ).
cnf(i_0_1085,plain,
is_fun631676118l_bool(arrow_1212118780le_IIA),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA]),
[final] ).
cnf(i_0_1086,plain,
c != d,
inference(split_conjunct,[status(thm)],[fact_2__096c_A_126_061_Ad_096]),
[final] ).
cnf(i_0_1087,plain,
a != b,
inference(split_conjunct,[status(thm)],[fact_193__096a_A_126_061_Ab_096]),
[final] ).
cnf(i_0_1088,axiom,
X1 = X1 ).
cnf(i_0_1089,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1090,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1091,axiom,
( X1 != X2
| hAPP_f745298353l_bool(X1,X3) = hAPP_f745298353l_bool(X2,X3) ) ).
cnf(i_0_1092,axiom,
( X1 != X2
| hAPP_f745298353l_bool(X3,X1) = hAPP_f745298353l_bool(X3,X2) ) ).
cnf(i_0_1093,axiom,
( X1 != X2
| hAPP_f1636546729l_bool(X1,X3) = hAPP_f1636546729l_bool(X2,X3) ) ).
cnf(i_0_1094,axiom,
( X1 != X2
| hAPP_f1636546729l_bool(X3,X1) = hAPP_f1636546729l_bool(X3,X2) ) ).
cnf(i_0_1095,axiom,
( X1 != X2
| hAPP_f785543729l_bool(X1,X3) = hAPP_f785543729l_bool(X2,X3) ) ).
cnf(i_0_1096,axiom,
( X1 != X2
| hAPP_f785543729l_bool(X3,X1) = hAPP_f785543729l_bool(X3,X2) ) ).
cnf(i_0_1097,axiom,
( X1 != X2
| hAPP_n385347014e_indi(X1,X3) = hAPP_n385347014e_indi(X2,X3) ) ).
cnf(i_0_1098,axiom,
( X1 != X2
| hAPP_n385347014e_indi(X3,X1) = hAPP_n385347014e_indi(X3,X2) ) ).
cnf(i_0_1099,axiom,
( X1 != X2
| hilber1792103167di_nat(X1,X3) = hilber1792103167di_nat(X2,X3) ) ).
cnf(i_0_1100,axiom,
( X1 != X2
| hilber1792103167di_nat(X3,X1) = hilber1792103167di_nat(X3,X2) ) ).
cnf(i_0_1101,axiom,
( X1 != X2
| hAPP_f861484971l_bool(X1,X3) = hAPP_f861484971l_bool(X2,X3) ) ).
cnf(i_0_1102,axiom,
( X1 != X2
| hAPP_f861484971l_bool(X3,X1) = hAPP_f861484971l_bool(X3,X2) ) ).
cnf(i_0_1103,axiom,
( X1 != X2
| hAPP_b1965422783l_bool(X1,X3) = hAPP_b1965422783l_bool(X2,X3) ) ).
cnf(i_0_1104,axiom,
( X1 != X2
| hAPP_b1965422783l_bool(X3,X1) = hAPP_b1965422783l_bool(X3,X2) ) ).
cnf(i_0_1105,axiom,
( X1 != X2
| hAPP_A1944296755l_bool(X1,X3) = hAPP_A1944296755l_bool(X2,X3) ) ).
cnf(i_0_1106,axiom,
( X1 != X2
| hAPP_A1944296755l_bool(X3,X1) = hAPP_A1944296755l_bool(X3,X2) ) ).
cnf(i_0_1107,axiom,
( X1 != X2
| hAPP_b990649139l_bool(X1,X3) = hAPP_b990649139l_bool(X2,X3) ) ).
cnf(i_0_1108,axiom,
( X1 != X2
| hAPP_b990649139l_bool(X3,X1) = hAPP_b990649139l_bool(X3,X2) ) ).
cnf(i_0_1109,axiom,
( X1 != X2
| hAPP_A1964572607l_bool(X1,X3) = hAPP_A1964572607l_bool(X2,X3) ) ).
cnf(i_0_1110,axiom,
( X1 != X2
| hAPP_A1964572607l_bool(X3,X1) = hAPP_A1964572607l_bool(X3,X2) ) ).
cnf(i_0_1111,axiom,
( X1 != X2
| hAPP_b1719629739l_bool(X1,X3) = hAPP_b1719629739l_bool(X2,X3) ) ).
cnf(i_0_1112,axiom,
( X1 != X2
| hAPP_b1719629739l_bool(X3,X1) = hAPP_b1719629739l_bool(X3,X2) ) ).
cnf(i_0_1113,axiom,
( X1 != X2
| hAPP_A1912483895l_bool(X1,X3) = hAPP_A1912483895l_bool(X2,X3) ) ).
cnf(i_0_1114,axiom,
( X1 != X2
| hAPP_A1912483895l_bool(X3,X1) = hAPP_A1912483895l_bool(X3,X2) ) ).
cnf(i_0_1115,axiom,
( X1 != X2
| hAPP_P2127852789l_bool(X1,X3) = hAPP_P2127852789l_bool(X2,X3) ) ).
cnf(i_0_1116,axiom,
( X1 != X2
| hAPP_P2127852789l_bool(X3,X1) = hAPP_P2127852789l_bool(X3,X2) ) ).
cnf(i_0_1117,axiom,
( X1 != X2
| hAPP_f417299659l_bool(X1,X3) = hAPP_f417299659l_bool(X2,X3) ) ).
cnf(i_0_1118,axiom,
( X1 != X2
| hAPP_f417299659l_bool(X3,X1) = hAPP_f417299659l_bool(X3,X2) ) ).
cnf(i_0_1119,axiom,
( X1 != X2
| hAPP_f497468491l_bool(X1,X3) = hAPP_f497468491l_bool(X2,X3) ) ).
cnf(i_0_1120,axiom,
( X1 != X2
| hAPP_f497468491l_bool(X3,X1) = hAPP_f497468491l_bool(X3,X2) ) ).
cnf(i_0_1121,axiom,
( X1 != X2
| hAPP_f313042899l_bool(X1,X3) = hAPP_f313042899l_bool(X2,X3) ) ).
cnf(i_0_1122,axiom,
( X1 != X2
| hAPP_f313042899l_bool(X3,X1) = hAPP_f313042899l_bool(X3,X2) ) ).
cnf(i_0_1123,axiom,
( X1 != X2
| hAPP_P907763049i_bool(X1,X3) = hAPP_P907763049i_bool(X2,X3) ) ).
cnf(i_0_1124,axiom,
( X1 != X2
| hAPP_P907763049i_bool(X3,X1) = hAPP_P907763049i_bool(X3,X2) ) ).
cnf(i_0_1125,axiom,
( X1 != X2
| hAPP_f352490559i_bool(X1,X3) = hAPP_f352490559i_bool(X2,X3) ) ).
cnf(i_0_1126,axiom,
( X1 != X2
| hAPP_f352490559i_bool(X3,X1) = hAPP_f352490559i_bool(X3,X2) ) ).
cnf(i_0_1127,axiom,
( X1 != X2
| hAPP_f749892423i_bool(X1,X3) = hAPP_f749892423i_bool(X2,X3) ) ).
cnf(i_0_1128,axiom,
( X1 != X2
| hAPP_f749892423i_bool(X3,X1) = hAPP_f749892423i_bool(X3,X2) ) ).
cnf(i_0_1129,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_1130,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_1131,axiom,
( X1 != X2
| esk21_2(X1,X3) = esk21_2(X2,X3) ) ).
cnf(i_0_1132,axiom,
( X1 != X2
| esk21_2(X3,X1) = esk21_2(X3,X2) ) ).
cnf(i_0_1133,axiom,
( X1 != X2
| esk20_2(X1,X3) = esk20_2(X2,X3) ) ).
cnf(i_0_1134,axiom,
( X1 != X2
| esk20_2(X3,X1) = esk20_2(X3,X2) ) ).
cnf(i_0_1135,axiom,
( X1 != X2
| hAPP_A1333445289t_bool(X1,X3) = hAPP_A1333445289t_bool(X2,X3) ) ).
cnf(i_0_1136,axiom,
( X1 != X2
| hAPP_A1333445289t_bool(X3,X1) = hAPP_A1333445289t_bool(X3,X2) ) ).
cnf(i_0_1137,axiom,
( X1 != X2
| hAPP_f159424297t_bool(X1,X3) = hAPP_f159424297t_bool(X2,X3) ) ).
cnf(i_0_1138,axiom,
( X1 != X2
| hAPP_f159424297t_bool(X3,X1) = hAPP_f159424297t_bool(X3,X2) ) ).
cnf(i_0_1139,axiom,
( X1 != X2
| hAPP_A869356733t_bool(X1,X3) = hAPP_A869356733t_bool(X2,X3) ) ).
cnf(i_0_1140,axiom,
( X1 != X2
| hAPP_A869356733t_bool(X3,X1) = hAPP_A869356733t_bool(X3,X2) ) ).
cnf(i_0_1141,axiom,
( X1 != X2
| hAPP_f1673487381t_bool(X1,X3) = hAPP_f1673487381t_bool(X2,X3) ) ).
cnf(i_0_1142,axiom,
( X1 != X2
| hAPP_f1673487381t_bool(X3,X1) = hAPP_f1673487381t_bool(X3,X2) ) ).
cnf(i_0_1143,axiom,
( X1 != X2
| hAPP_b1915039793t_bool(X1,X3) = hAPP_b1915039793t_bool(X2,X3) ) ).
cnf(i_0_1144,axiom,
( X1 != X2
| hAPP_b1915039793t_bool(X3,X1) = hAPP_b1915039793t_bool(X3,X2) ) ).
cnf(i_0_1145,axiom,
( X1 != X2
| hAPP_A702630576t_bool(X1,X3) = hAPP_A702630576t_bool(X2,X3) ) ).
cnf(i_0_1146,axiom,
( X1 != X2
| hAPP_A702630576t_bool(X3,X1) = hAPP_A702630576t_bool(X3,X2) ) ).
cnf(i_0_1147,axiom,
( X1 != X2
| hAPP_A460042315t_bool(X1,X3) = hAPP_A460042315t_bool(X2,X3) ) ).
cnf(i_0_1148,axiom,
( X1 != X2
| hAPP_A460042315t_bool(X3,X1) = hAPP_A460042315t_bool(X3,X2) ) ).
cnf(i_0_1149,axiom,
( X1 != X2
| hAPP_A1922697556t_bool(X1,X3) = hAPP_A1922697556t_bool(X2,X3) ) ).
cnf(i_0_1150,axiom,
( X1 != X2
| hAPP_A1922697556t_bool(X3,X1) = hAPP_A1922697556t_bool(X3,X2) ) ).
cnf(i_0_1151,axiom,
( X1 != X2
| esk23_1(X1) = esk23_1(X2) ) ).
cnf(i_0_1152,axiom,
( X1 != X2
| esk24_1(X1) = esk24_1(X2) ) ).
cnf(i_0_1153,axiom,
( X1 != X2
| collec1711870802le_alt(X1) = collec1711870802le_alt(X2) ) ).
cnf(i_0_1154,axiom,
( X1 != X2
| collec874260222t_bool(X1) = collec874260222t_bool(X2) ) ).
cnf(i_0_1155,axiom,
( X1 != X2
| collec1520786044t_bool(X1) = collec1520786044t_bool(X2) ) ).
cnf(i_0_1156,axiom,
( X1 != X2
| collec1580242420t_bool(X1) = collec1580242420t_bool(X2) ) ).
cnf(i_0_1157,axiom,
( X1 != X2
| collec45183100e_indi(X1) = collec45183100e_indi(X2) ) ).
cnf(i_0_1158,axiom,
( X1 != X2
| hAPP_nat_bool(X1,X3) = hAPP_nat_bool(X2,X3) ) ).
cnf(i_0_1159,axiom,
( X1 != X2
| hAPP_nat_bool(X3,X1) = hAPP_nat_bool(X3,X2) ) ).
cnf(i_0_1160,axiom,
( X1 != X2
| hAPP_n1699378549t_bool(X1,X3) = hAPP_n1699378549t_bool(X2,X3) ) ).
cnf(i_0_1161,axiom,
( X1 != X2
| hAPP_n1699378549t_bool(X3,X1) = hAPP_n1699378549t_bool(X3,X2) ) ).
cnf(i_0_1162,axiom,
( X1 != X2
| hAPP_A588601142di_nat(X1,X3) = hAPP_A588601142di_nat(X2,X3) ) ).
cnf(i_0_1163,axiom,
( X1 != X2
| hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2) ) ).
cnf(i_0_1164,axiom,
( X1 != X2
| produc171383831le_alt(X1,X3) = produc171383831le_alt(X2,X3) ) ).
cnf(i_0_1165,axiom,
( X1 != X2
| produc171383831le_alt(X3,X1) = produc171383831le_alt(X3,X2) ) ).
cnf(i_0_1166,axiom,
( X1 != X2
| hAPP_A619995676t_bool(X1,X3) = hAPP_A619995676t_bool(X2,X3) ) ).
cnf(i_0_1167,axiom,
( X1 != X2
| hAPP_A619995676t_bool(X3,X1) = hAPP_A619995676t_bool(X3,X2) ) ).
cnf(i_0_1168,axiom,
( X1 != X2
| hAPP_f1290184496t_bool(X1,X3) = hAPP_f1290184496t_bool(X2,X3) ) ).
cnf(i_0_1169,axiom,
( X1 != X2
| hAPP_f1290184496t_bool(X3,X1) = hAPP_f1290184496t_bool(X3,X2) ) ).
cnf(i_0_1170,axiom,
( X1 != X2
| hAPP_A384644407t_bool(X1,X3) = hAPP_A384644407t_bool(X2,X3) ) ).
cnf(i_0_1171,axiom,
( X1 != X2
| hAPP_A384644407t_bool(X3,X1) = hAPP_A384644407t_bool(X3,X2) ) ).
cnf(i_0_1172,axiom,
( X1 != X2
| hAPP_f1336478923t_bool(X1,X3) = hAPP_f1336478923t_bool(X2,X3) ) ).
cnf(i_0_1173,axiom,
( X1 != X2
| hAPP_f1336478923t_bool(X3,X1) = hAPP_f1336478923t_bool(X3,X2) ) ).
cnf(i_0_1174,axiom,
( X1 != X2
| hAPP_A1466488369i_bool(X1,X3) = hAPP_A1466488369i_bool(X2,X3) ) ).
cnf(i_0_1175,axiom,
( X1 != X2
| hAPP_A1466488369i_bool(X3,X1) = hAPP_A1466488369i_bool(X3,X2) ) ).
cnf(i_0_1176,axiom,
( X1 != X2
| hAPP_f355113919i_bool(X1,X3) = hAPP_f355113919i_bool(X2,X3) ) ).
cnf(i_0_1177,axiom,
( X1 != X2
| hAPP_f355113919i_bool(X3,X1) = hAPP_f355113919i_bool(X3,X2) ) ).
cnf(i_0_1178,axiom,
( X1 != X2
| esk26_2(X1,X3) = esk26_2(X2,X3) ) ).
cnf(i_0_1179,axiom,
( X1 != X2
| esk26_2(X3,X1) = esk26_2(X3,X2) ) ).
cnf(i_0_1180,axiom,
( X1 != X2
| esk27_2(X1,X3) = esk27_2(X2,X3) ) ).
cnf(i_0_1181,axiom,
( X1 != X2
| esk27_2(X3,X1) = esk27_2(X3,X2) ) ).
cnf(i_0_1182,axiom,
( X1 != X2
| hAPP_f695124765t_bool(X1,X3) = hAPP_f695124765t_bool(X2,X3) ) ).
cnf(i_0_1183,axiom,
( X1 != X2
| hAPP_f695124765t_bool(X3,X1) = hAPP_f695124765t_bool(X3,X2) ) ).
cnf(i_0_1184,axiom,
( X1 != X2
| pi_fun433100839t_bool(X1,X3) = pi_fun433100839t_bool(X2,X3) ) ).
cnf(i_0_1185,axiom,
( X1 != X2
| pi_fun433100839t_bool(X3,X1) = pi_fun433100839t_bool(X3,X2) ) ).
cnf(i_0_1186,axiom,
( X1 != X2
| hAPP_A1374816149t_bool(X1,X3) = hAPP_A1374816149t_bool(X2,X3) ) ).
cnf(i_0_1187,axiom,
( X1 != X2
| hAPP_A1374816149t_bool(X3,X1) = hAPP_A1374816149t_bool(X3,X2) ) ).
cnf(i_0_1188,axiom,
( X1 != X2
| hAPP_b1024867081t_bool(X1,X3) = hAPP_b1024867081t_bool(X2,X3) ) ).
cnf(i_0_1189,axiom,
( X1 != X2
| hAPP_b1024867081t_bool(X3,X1) = hAPP_b1024867081t_bool(X3,X2) ) ).
cnf(i_0_1190,axiom,
( X1 != X2
| pi_Arr688267935t_bool(X1,X3) = pi_Arr688267935t_bool(X2,X3) ) ).
cnf(i_0_1191,axiom,
( X1 != X2
| pi_Arr688267935t_bool(X3,X1) = pi_Arr688267935t_bool(X3,X2) ) ).
cnf(i_0_1192,axiom,
( X1 != X2
| hAPP_P2075002375t_bool(X1,X3) = hAPP_P2075002375t_bool(X2,X3) ) ).
cnf(i_0_1193,axiom,
( X1 != X2
| hAPP_P2075002375t_bool(X3,X1) = hAPP_P2075002375t_bool(X3,X2) ) ).
cnf(i_0_1194,axiom,
( X1 != X2
| pi_Pro2135156861t_bool(X1,X3) = pi_Pro2135156861t_bool(X2,X3) ) ).
cnf(i_0_1195,axiom,
( X1 != X2
| pi_Pro2135156861t_bool(X3,X1) = pi_Pro2135156861t_bool(X3,X2) ) ).
cnf(i_0_1196,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1197,axiom,
( X1 != X2
| ~ is_bool(X1)
| is_bool(X2) ) ).
cnf(i_0_1198,axiom,
( X1 != X2
| ~ is_Arr553848933le_alt(X1)
| is_Arr553848933le_alt(X2) ) ).
cnf(i_0_1199,axiom,
( X1 != X2
| ~ is_Arr625519182e_indi(X1)
| is_Arr625519182e_indi(X2) ) ).
cnf(i_0_1200,axiom,
( X1 != X2
| ~ is_fun282293932t_bool(X1)
| is_fun282293932t_bool(X2) ) ).
cnf(i_0_1201,axiom,
( X1 != X2
| ~ is_fun1016509681e_indi(X1)
| is_fun1016509681e_indi(X2) ) ).
cnf(i_0_1202,axiom,
( X1 != X2
| ~ is_fun432044380l_bool(X1)
| is_fun432044380l_bool(X2) ) ).
cnf(i_0_1203,axiom,
( X1 != X2
| ~ is_fun631676118l_bool(X1)
| is_fun631676118l_bool(X2) ) ).
cnf(i_0_1204,axiom,
( X1 != X2
| ~ is_fun959573582l_bool(X1)
| is_fun959573582l_bool(X2) ) ).
cnf(i_0_1205,axiom,
( X1 != X2
| ~ is_fun917378774i_bool(X1)
| is_fun917378774i_bool(X2) ) ).
cnf(i_0_1088_001,axiom,
X1 = X1 ).
cnf(i_0_1089_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1090_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1091_004,axiom,
( X1 != X2
| hAPP_f745298353l_bool(X1,X3) = hAPP_f745298353l_bool(X2,X3) ) ).
cnf(i_0_1092_005,axiom,
( X1 != X2
| hAPP_f745298353l_bool(X3,X1) = hAPP_f745298353l_bool(X3,X2) ) ).
cnf(i_0_1093_006,axiom,
( X1 != X2
| hAPP_f1636546729l_bool(X1,X3) = hAPP_f1636546729l_bool(X2,X3) ) ).
cnf(i_0_1094_007,axiom,
( X1 != X2
| hAPP_f1636546729l_bool(X3,X1) = hAPP_f1636546729l_bool(X3,X2) ) ).
cnf(i_0_1095_008,axiom,
( X1 != X2
| hAPP_f785543729l_bool(X1,X3) = hAPP_f785543729l_bool(X2,X3) ) ).
cnf(i_0_1096_009,axiom,
( X1 != X2
| hAPP_f785543729l_bool(X3,X1) = hAPP_f785543729l_bool(X3,X2) ) ).
cnf(i_0_1097_010,axiom,
( X1 != X2
| hAPP_n385347014e_indi(X1,X3) = hAPP_n385347014e_indi(X2,X3) ) ).
cnf(i_0_1098_011,axiom,
( X1 != X2
| hAPP_n385347014e_indi(X3,X1) = hAPP_n385347014e_indi(X3,X2) ) ).
cnf(i_0_1099_012,axiom,
( X1 != X2
| hilber1792103167di_nat(X1,X3) = hilber1792103167di_nat(X2,X3) ) ).
cnf(i_0_1100_013,axiom,
( X1 != X2
| hilber1792103167di_nat(X3,X1) = hilber1792103167di_nat(X3,X2) ) ).
cnf(i_0_1101_014,axiom,
( X1 != X2
| hAPP_f861484971l_bool(X1,X3) = hAPP_f861484971l_bool(X2,X3) ) ).
cnf(i_0_1102_015,axiom,
( X1 != X2
| hAPP_f861484971l_bool(X3,X1) = hAPP_f861484971l_bool(X3,X2) ) ).
cnf(i_0_1103_016,axiom,
( X1 != X2
| hAPP_b1965422783l_bool(X1,X3) = hAPP_b1965422783l_bool(X2,X3) ) ).
cnf(i_0_1104_017,axiom,
( X1 != X2
| hAPP_b1965422783l_bool(X3,X1) = hAPP_b1965422783l_bool(X3,X2) ) ).
cnf(i_0_1105_018,axiom,
( X1 != X2
| hAPP_A1944296755l_bool(X1,X3) = hAPP_A1944296755l_bool(X2,X3) ) ).
cnf(i_0_1106_019,axiom,
( X1 != X2
| hAPP_A1944296755l_bool(X3,X1) = hAPP_A1944296755l_bool(X3,X2) ) ).
cnf(i_0_1107_020,axiom,
( X1 != X2
| hAPP_b990649139l_bool(X1,X3) = hAPP_b990649139l_bool(X2,X3) ) ).
cnf(i_0_1108_021,axiom,
( X1 != X2
| hAPP_b990649139l_bool(X3,X1) = hAPP_b990649139l_bool(X3,X2) ) ).
cnf(i_0_1109_022,axiom,
( X1 != X2
| hAPP_A1964572607l_bool(X1,X3) = hAPP_A1964572607l_bool(X2,X3) ) ).
cnf(i_0_1110_023,axiom,
( X1 != X2
| hAPP_A1964572607l_bool(X3,X1) = hAPP_A1964572607l_bool(X3,X2) ) ).
cnf(i_0_1111_024,axiom,
( X1 != X2
| hAPP_b1719629739l_bool(X1,X3) = hAPP_b1719629739l_bool(X2,X3) ) ).
cnf(i_0_1112_025,axiom,
( X1 != X2
| hAPP_b1719629739l_bool(X3,X1) = hAPP_b1719629739l_bool(X3,X2) ) ).
cnf(i_0_1113_026,axiom,
( X1 != X2
| hAPP_A1912483895l_bool(X1,X3) = hAPP_A1912483895l_bool(X2,X3) ) ).
cnf(i_0_1114_027,axiom,
( X1 != X2
| hAPP_A1912483895l_bool(X3,X1) = hAPP_A1912483895l_bool(X3,X2) ) ).
cnf(i_0_1115_028,axiom,
( X1 != X2
| hAPP_P2127852789l_bool(X1,X3) = hAPP_P2127852789l_bool(X2,X3) ) ).
cnf(i_0_1116_029,axiom,
( X1 != X2
| hAPP_P2127852789l_bool(X3,X1) = hAPP_P2127852789l_bool(X3,X2) ) ).
cnf(i_0_1117_030,axiom,
( X1 != X2
| hAPP_f417299659l_bool(X1,X3) = hAPP_f417299659l_bool(X2,X3) ) ).
cnf(i_0_1118_031,axiom,
( X1 != X2
| hAPP_f417299659l_bool(X3,X1) = hAPP_f417299659l_bool(X3,X2) ) ).
cnf(i_0_1119_032,axiom,
( X1 != X2
| hAPP_f497468491l_bool(X1,X3) = hAPP_f497468491l_bool(X2,X3) ) ).
cnf(i_0_1120_033,axiom,
( X1 != X2
| hAPP_f497468491l_bool(X3,X1) = hAPP_f497468491l_bool(X3,X2) ) ).
cnf(i_0_1121_034,axiom,
( X1 != X2
| hAPP_f313042899l_bool(X1,X3) = hAPP_f313042899l_bool(X2,X3) ) ).
cnf(i_0_1122_035,axiom,
( X1 != X2
| hAPP_f313042899l_bool(X3,X1) = hAPP_f313042899l_bool(X3,X2) ) ).
cnf(i_0_1123_036,axiom,
( X1 != X2
| hAPP_P907763049i_bool(X1,X3) = hAPP_P907763049i_bool(X2,X3) ) ).
cnf(i_0_1124_037,axiom,
( X1 != X2
| hAPP_P907763049i_bool(X3,X1) = hAPP_P907763049i_bool(X3,X2) ) ).
cnf(i_0_1125_038,axiom,
( X1 != X2
| hAPP_f352490559i_bool(X1,X3) = hAPP_f352490559i_bool(X2,X3) ) ).
cnf(i_0_1126_039,axiom,
( X1 != X2
| hAPP_f352490559i_bool(X3,X1) = hAPP_f352490559i_bool(X3,X2) ) ).
cnf(i_0_1127_040,axiom,
( X1 != X2
| hAPP_f749892423i_bool(X1,X3) = hAPP_f749892423i_bool(X2,X3) ) ).
cnf(i_0_1128_041,axiom,
( X1 != X2
| hAPP_f749892423i_bool(X3,X1) = hAPP_f749892423i_bool(X3,X2) ) ).
cnf(i_0_1129_042,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_1130_043,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_1131_044,axiom,
( X1 != X2
| esk21_2(X1,X3) = esk21_2(X2,X3) ) ).
cnf(i_0_1132_045,axiom,
( X1 != X2
| esk21_2(X3,X1) = esk21_2(X3,X2) ) ).
cnf(i_0_1133_046,axiom,
( X1 != X2
| esk20_2(X1,X3) = esk20_2(X2,X3) ) ).
cnf(i_0_1134_047,axiom,
( X1 != X2
| esk20_2(X3,X1) = esk20_2(X3,X2) ) ).
cnf(i_0_1135_048,axiom,
( X1 != X2
| hAPP_A1333445289t_bool(X1,X3) = hAPP_A1333445289t_bool(X2,X3) ) ).
cnf(i_0_1136_049,axiom,
( X1 != X2
| hAPP_A1333445289t_bool(X3,X1) = hAPP_A1333445289t_bool(X3,X2) ) ).
cnf(i_0_1137_050,axiom,
( X1 != X2
| hAPP_f159424297t_bool(X1,X3) = hAPP_f159424297t_bool(X2,X3) ) ).
cnf(i_0_1138_051,axiom,
( X1 != X2
| hAPP_f159424297t_bool(X3,X1) = hAPP_f159424297t_bool(X3,X2) ) ).
cnf(i_0_1139_052,axiom,
( X1 != X2
| hAPP_A869356733t_bool(X1,X3) = hAPP_A869356733t_bool(X2,X3) ) ).
cnf(i_0_1140_053,axiom,
( X1 != X2
| hAPP_A869356733t_bool(X3,X1) = hAPP_A869356733t_bool(X3,X2) ) ).
cnf(i_0_1141_054,axiom,
( X1 != X2
| hAPP_f1673487381t_bool(X1,X3) = hAPP_f1673487381t_bool(X2,X3) ) ).
cnf(i_0_1142_055,axiom,
( X1 != X2
| hAPP_f1673487381t_bool(X3,X1) = hAPP_f1673487381t_bool(X3,X2) ) ).
cnf(i_0_1143_056,axiom,
( X1 != X2
| hAPP_b1915039793t_bool(X1,X3) = hAPP_b1915039793t_bool(X2,X3) ) ).
cnf(i_0_1144_057,axiom,
( X1 != X2
| hAPP_b1915039793t_bool(X3,X1) = hAPP_b1915039793t_bool(X3,X2) ) ).
cnf(i_0_1145_058,axiom,
( X1 != X2
| hAPP_A702630576t_bool(X1,X3) = hAPP_A702630576t_bool(X2,X3) ) ).
cnf(i_0_1146_059,axiom,
( X1 != X2
| hAPP_A702630576t_bool(X3,X1) = hAPP_A702630576t_bool(X3,X2) ) ).
cnf(i_0_1147_060,axiom,
( X1 != X2
| hAPP_A460042315t_bool(X1,X3) = hAPP_A460042315t_bool(X2,X3) ) ).
cnf(i_0_1148_061,axiom,
( X1 != X2
| hAPP_A460042315t_bool(X3,X1) = hAPP_A460042315t_bool(X3,X2) ) ).
cnf(i_0_1149_062,axiom,
( X1 != X2
| hAPP_A1922697556t_bool(X1,X3) = hAPP_A1922697556t_bool(X2,X3) ) ).
cnf(i_0_1150_063,axiom,
( X1 != X2
| hAPP_A1922697556t_bool(X3,X1) = hAPP_A1922697556t_bool(X3,X2) ) ).
cnf(i_0_1151_064,axiom,
( X1 != X2
| esk23_1(X1) = esk23_1(X2) ) ).
cnf(i_0_1152_065,axiom,
( X1 != X2
| esk24_1(X1) = esk24_1(X2) ) ).
cnf(i_0_1153_066,axiom,
( X1 != X2
| collec1711870802le_alt(X1) = collec1711870802le_alt(X2) ) ).
cnf(i_0_1154_067,axiom,
( X1 != X2
| collec874260222t_bool(X1) = collec874260222t_bool(X2) ) ).
cnf(i_0_1155_068,axiom,
( X1 != X2
| collec1520786044t_bool(X1) = collec1520786044t_bool(X2) ) ).
cnf(i_0_1156_069,axiom,
( X1 != X2
| collec1580242420t_bool(X1) = collec1580242420t_bool(X2) ) ).
cnf(i_0_1157_070,axiom,
( X1 != X2
| collec45183100e_indi(X1) = collec45183100e_indi(X2) ) ).
cnf(i_0_1158_071,axiom,
( X1 != X2
| hAPP_nat_bool(X1,X3) = hAPP_nat_bool(X2,X3) ) ).
cnf(i_0_1159_072,axiom,
( X1 != X2
| hAPP_nat_bool(X3,X1) = hAPP_nat_bool(X3,X2) ) ).
cnf(i_0_1160_073,axiom,
( X1 != X2
| hAPP_n1699378549t_bool(X1,X3) = hAPP_n1699378549t_bool(X2,X3) ) ).
cnf(i_0_1161_074,axiom,
( X1 != X2
| hAPP_n1699378549t_bool(X3,X1) = hAPP_n1699378549t_bool(X3,X2) ) ).
cnf(i_0_1162_075,axiom,
( X1 != X2
| hAPP_A588601142di_nat(X1,X3) = hAPP_A588601142di_nat(X2,X3) ) ).
cnf(i_0_1163_076,axiom,
( X1 != X2
| hAPP_A588601142di_nat(X3,X1) = hAPP_A588601142di_nat(X3,X2) ) ).
cnf(i_0_1164_077,axiom,
( X1 != X2
| produc171383831le_alt(X1,X3) = produc171383831le_alt(X2,X3) ) ).
cnf(i_0_1165_078,axiom,
( X1 != X2
| produc171383831le_alt(X3,X1) = produc171383831le_alt(X3,X2) ) ).
cnf(i_0_1166_079,axiom,
( X1 != X2
| hAPP_A619995676t_bool(X1,X3) = hAPP_A619995676t_bool(X2,X3) ) ).
cnf(i_0_1167_080,axiom,
( X1 != X2
| hAPP_A619995676t_bool(X3,X1) = hAPP_A619995676t_bool(X3,X2) ) ).
cnf(i_0_1168_081,axiom,
( X1 != X2
| hAPP_f1290184496t_bool(X1,X3) = hAPP_f1290184496t_bool(X2,X3) ) ).
cnf(i_0_1169_082,axiom,
( X1 != X2
| hAPP_f1290184496t_bool(X3,X1) = hAPP_f1290184496t_bool(X3,X2) ) ).
cnf(i_0_1170_083,axiom,
( X1 != X2
| hAPP_A384644407t_bool(X1,X3) = hAPP_A384644407t_bool(X2,X3) ) ).
cnf(i_0_1171_084,axiom,
( X1 != X2
| hAPP_A384644407t_bool(X3,X1) = hAPP_A384644407t_bool(X3,X2) ) ).
cnf(i_0_1172_085,axiom,
( X1 != X2
| hAPP_f1336478923t_bool(X1,X3) = hAPP_f1336478923t_bool(X2,X3) ) ).
cnf(i_0_1173_086,axiom,
( X1 != X2
| hAPP_f1336478923t_bool(X3,X1) = hAPP_f1336478923t_bool(X3,X2) ) ).
cnf(i_0_1174_087,axiom,
( X1 != X2
| hAPP_A1466488369i_bool(X1,X3) = hAPP_A1466488369i_bool(X2,X3) ) ).
cnf(i_0_1175_088,axiom,
( X1 != X2
| hAPP_A1466488369i_bool(X3,X1) = hAPP_A1466488369i_bool(X3,X2) ) ).
cnf(i_0_1176_089,axiom,
( X1 != X2
| hAPP_f355113919i_bool(X1,X3) = hAPP_f355113919i_bool(X2,X3) ) ).
cnf(i_0_1177_090,axiom,
( X1 != X2
| hAPP_f355113919i_bool(X3,X1) = hAPP_f355113919i_bool(X3,X2) ) ).
cnf(i_0_1178_091,axiom,
( X1 != X2
| esk26_2(X1,X3) = esk26_2(X2,X3) ) ).
cnf(i_0_1179_092,axiom,
( X1 != X2
| esk26_2(X3,X1) = esk26_2(X3,X2) ) ).
cnf(i_0_1180_093,axiom,
( X1 != X2
| esk27_2(X1,X3) = esk27_2(X2,X3) ) ).
cnf(i_0_1181_094,axiom,
( X1 != X2
| esk27_2(X3,X1) = esk27_2(X3,X2) ) ).
cnf(i_0_1182_095,axiom,
( X1 != X2
| hAPP_f695124765t_bool(X1,X3) = hAPP_f695124765t_bool(X2,X3) ) ).
cnf(i_0_1183_096,axiom,
( X1 != X2
| hAPP_f695124765t_bool(X3,X1) = hAPP_f695124765t_bool(X3,X2) ) ).
cnf(i_0_1184_097,axiom,
( X1 != X2
| pi_fun433100839t_bool(X1,X3) = pi_fun433100839t_bool(X2,X3) ) ).
cnf(i_0_1185_098,axiom,
( X1 != X2
| pi_fun433100839t_bool(X3,X1) = pi_fun433100839t_bool(X3,X2) ) ).
cnf(i_0_1186_099,axiom,
( X1 != X2
| hAPP_A1374816149t_bool(X1,X3) = hAPP_A1374816149t_bool(X2,X3) ) ).
cnf(i_0_1187_100,axiom,
( X1 != X2
| hAPP_A1374816149t_bool(X3,X1) = hAPP_A1374816149t_bool(X3,X2) ) ).
cnf(i_0_1188_101,axiom,
( X1 != X2
| hAPP_b1024867081t_bool(X1,X3) = hAPP_b1024867081t_bool(X2,X3) ) ).
cnf(i_0_1189_102,axiom,
( X1 != X2
| hAPP_b1024867081t_bool(X3,X1) = hAPP_b1024867081t_bool(X3,X2) ) ).
cnf(i_0_1190_103,axiom,
( X1 != X2
| pi_Arr688267935t_bool(X1,X3) = pi_Arr688267935t_bool(X2,X3) ) ).
cnf(i_0_1191_104,axiom,
( X1 != X2
| pi_Arr688267935t_bool(X3,X1) = pi_Arr688267935t_bool(X3,X2) ) ).
cnf(i_0_1192_105,axiom,
( X1 != X2
| hAPP_P2075002375t_bool(X1,X3) = hAPP_P2075002375t_bool(X2,X3) ) ).
cnf(i_0_1193_106,axiom,
( X1 != X2
| hAPP_P2075002375t_bool(X3,X1) = hAPP_P2075002375t_bool(X3,X2) ) ).
cnf(i_0_1194_107,axiom,
( X1 != X2
| pi_Pro2135156861t_bool(X1,X3) = pi_Pro2135156861t_bool(X2,X3) ) ).
cnf(i_0_1195_108,axiom,
( X1 != X2
| pi_Pro2135156861t_bool(X3,X1) = pi_Pro2135156861t_bool(X3,X2) ) ).
cnf(i_0_1196_109,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1197_110,axiom,
( X1 != X2
| ~ is_bool(X1)
| is_bool(X2) ) ).
cnf(i_0_1198_111,axiom,
( X1 != X2
| ~ is_Arr553848933le_alt(X1)
| is_Arr553848933le_alt(X2) ) ).
cnf(i_0_1199_112,axiom,
( X1 != X2
| ~ is_Arr625519182e_indi(X1)
| is_Arr625519182e_indi(X2) ) ).
cnf(i_0_1200_113,axiom,
( X1 != X2
| ~ is_fun282293932t_bool(X1)
| is_fun282293932t_bool(X2) ) ).
cnf(i_0_1201_114,axiom,
( X1 != X2
| ~ is_fun1016509681e_indi(X1)
| is_fun1016509681e_indi(X2) ) ).
cnf(i_0_1202_115,axiom,
( X1 != X2
| ~ is_fun432044380l_bool(X1)
| is_fun432044380l_bool(X2) ) ).
cnf(i_0_1203_116,axiom,
( X1 != X2
| ~ is_fun631676118l_bool(X1)
| is_fun631676118l_bool(X2) ) ).
cnf(i_0_1204_117,axiom,
( X1 != X2
| ~ is_fun959573582l_bool(X1)
| is_fun959573582l_bool(X2) ) ).
cnf(i_0_1205_118,axiom,
( X1 != X2
| ~ is_fun917378774i_bool(X1)
| is_fun917378774i_bool(X2) ) ).
cnf(i_0_1206,plain,
( X1 = X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| X3 = X2
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X1),X2))) ),
inference(equality_inference,[],[700]) ).
cnf(i_0_1207,plain,
( X1 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| X1 = X3
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X1),X2))) ),
inference(equality_inference,[],[701]) ).
cnf(i_0_1208,plain,
( X1 = X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| X3 = X1
| X3 = X2
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X1),X2))) ),
inference(equality_inference,[],[706]) ).
cnf(i_0_1209,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| X3 = X1
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),X4))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X3),X1))) ),
inference(equality_inference,[],[708]) ).
cnf(i_0_1210,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| X2 = X3
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X1)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X2),X3))) ),
inference(equality_inference,[],[714]) ).
cnf(i_0_1211,plain,
( X1 = X2
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| X3 = X2
| X3 = X2
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X1)),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X3,X2)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X1),X2))) ),
inference(equality_inference,[],[718]) ).
cnf(i_0_1212,plain,
( X1 = X2
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| X1 = X2
| X1 = X3
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X1),X2))) ),
inference(equality_inference,[],[719]) ).
cnf(i_0_1213,plain,
( X1 = X2
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X3)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| X2 = X3
| ~ hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(X4),arrow_1239002508le_Lin))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X3)),X4))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X2,X3)),hAPP_A619995676t_bool(hAPP_A384644407t_bool(hAPP_f1336478923t_bool(arrow_812378712_above,X4),X1),X2))) ),
inference(equality_inference,[],[722]) ).
cnf(i_0_1214,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X3),X1))) ),
inference(equality_inference,[],[756]) ).
cnf(i_0_1215,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X2)
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X3),X2))) ),
inference(equality_inference,[],[757]) ).
cnf(i_0_1216,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| X1 = X2
| X2 = X1
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_2077223396_mkbot,X3),X1))) ),
inference(equality_inference,[],[800]) ).
cnf(i_0_1217,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X2)
| X1 = X2
| X1 = X2
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(X1,X2)),hAPP_A619995676t_bool(hAPP_f1290184496t_bool(arrow_78446834_mktop,X3),X2))) ),
inference(equality_inference,[],[801]) ).
cnf(i_0_1218,plain,
( ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X1)
| X1 = X1
| ~ hBOOL(inj_on24934938di_nat(X2,X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3))
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3)) ),
inference(equality_inference,[],[812]) ).
cnf(i_0_1219,plain,
( ~ is_Arr625519182e_indi(X1)
| ~ hBOOL(inj_on24934938di_nat(X2,X3))
| hAPP_n385347014e_indi(hilber1792103167di_nat(X3,X2),hAPP_A588601142di_nat(X2,X1)) = X1
| ~ hBOOL(hAPP_f919661787l_bool(member2074804542e_indi(X1),X3)) ),
inference(equality_inference,[],[832]) ).
cnf(i_0_1220,plain,
( ~ is_fun282293932t_bool(top_to2034604131t_bool)
| ~ hBOOL(hAPP_f745298353l_bool(hAPP_f2056167603l_bool(ord_le227393471t_bool,top_to2034604131t_bool),top_to2034604131t_bool)) ),
inference(equality_inference,[],[848]) ).
cnf(i_0_1221,plain,
( ~ is_fun432044380l_bool(top_to2005687013l_bool)
| ~ hBOOL(hAPP_f503012287l_bool(hAPP_f1669465919l_bool(ord_le272605321l_bool,top_to2005687013l_bool),top_to2005687013l_bool)) ),
inference(equality_inference,[],[849]) ).
cnf(i_0_1222,plain,
( ~ is_fun631676118l_bool(top_to40512653l_bool)
| ~ hBOOL(hAPP_f213304539l_bool(hAPP_f281286919l_bool(ord_le1480133609l_bool,top_to40512653l_bool),top_to40512653l_bool)) ),
inference(equality_inference,[],[850]) ).
cnf(i_0_1223,plain,
( ~ is_fun959573582l_bool(top_to1194196741l_bool)
| ~ hBOOL(hAPP_f453661011l_bool(hAPP_f1760255479l_bool(ord_le453141089l_bool,top_to1194196741l_bool),top_to1194196741l_bool)) ),
inference(equality_inference,[],[851]) ).
cnf(i_0_1224,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X1)),
inference(equality_inference,[],[854]) ).
cnf(i_0_1225,plain,
~ hBOOL(hAPP_f919661787l_bool(hAPP_f1710416135l_bool(ord_le694128617i_bool,X1),X1)),
inference(equality_inference,[],[855]) ).
cnf(i_0_1226,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(equality_inference,[],[860]) ).
cnf(i_0_1227,plain,
~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)),
inference(equality_inference,[],[861]) ).
cnf(i_0_1228,plain,
( ~ is_Arr625519182e_indi(X1)
| hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,X2),hAPP_A588601142di_nat(X2,X1)) = X1
| ~ hBOOL(inj_on24934938di_nat(X2,top_to1256827021i_bool)) ),
inference(equality_inference,[],[869]) ).
cnf(i_0_1229,plain,
( ~ is_Arr625519182e_indi(X1)
| ~ is_Arr625519182e_indi(X1)
| X1 = X1
| ~ hBOOL(inj_on24934938di_nat(X2,top_to1256827021i_bool)) ),
inference(equality_inference,[],[880]) ).
cnf(i_0_1230,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X1)),
inference(equality_inference,[],[914]) ).
cnf(i_0_1231,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| X1 = X1 ),
inference(equality_inference,[],[917]) ).
cnf(i_0_1232,plain,
( ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| ~ is_Arr553848933le_alt(X1)
| ~ is_Arr553848933le_alt(X2)
| X2 = X2 ),
inference(equality_inference,[],[919]) ).
cnf(i_0_1233,plain,
$false,
inference(scs_inference,[],[i_0_806,i_0_657,i_0_648]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT171+1 : TPTP v9.2.1. Released v5.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 02:01:38 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.78/1.67 % Version : CSE_E---1.7
% 0.78/1.67 % Problem : theBenchmark.p
% 0.78/1.67 % SZS status Theorem for theBenchmark.p
% 0.78/1.67 % SZS output start CNFRefutation
% See solution above
% 0.83/1.74 % Total time : 1.326s
%------------------------------------------------------------------------------