TSTP Solution File: SCT170+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SCT170+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:17:39 EDT 2023
% Result : Theorem 557.94s 71.99s
% Output : CNFRefutation 557.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 58
% Syntax : Number of formulae : 267 ( 107 unt; 0 def)
% Number of atoms : 774 ( 338 equ)
% Maximal formula atoms : 190 ( 2 avg)
% Number of connectives : 838 ( 331 ~; 385 |; 61 &)
% ( 13 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 71 ( 71 usr; 29 con; 0-3 aty)
% Number of variables : 397 ( 40 sgn; 193 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_340_takeWhile_Osimps_I2_J,axiom,
! [X45,X11,X5] :
( ( hBOOL(hAPP_A1120018583t_bool(X11,X5))
=> takeWh1545314552le_alt(X11,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),X45)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),takeWh1545314552le_alt(X11,X45)) )
& ( ~ hBOOL(hAPP_A1120018583t_bool(X11,X5))
=> takeWh1545314552le_alt(X11,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),X45)) = nil_Ar1135217151le_alt ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_340_takeWhile_Osimps_I2_J) ).
fof(fact_37_list_Osimps_I2_J,axiom,
! [X28,X29] : nil_Ar1135217151le_alt != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X28),X29),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_37_list_Osimps_I2_J) ).
fof(fact_80_neq__Nil__conv,axiom,
! [X45] :
( X45 != nil_Ar1135217151le_alt
<=> ? [X46,X47] :
( is_Arr723427730le_alt(X46)
& X45 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X46),X47) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_80_neq__Nil__conv) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl,axiom,
! [X181,X182] :
( is_bool(X181)
=> hAPP_A1120018583t_bool(hAPP_b287951269t_bool(cOMBK_507931254le_alt,X181),X182) = X181 ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl) ).
fof(fact_272_Collect__def,axiom,
! [X11] :
( is_fun1651000642t_bool(X11)
=> collec591097828le_alt(X11) = X11 ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_272_Collect__def) ).
fof(fact_350_UNIV__eq__I,axiom,
! [X41] :
( is_fun1651000642t_bool(X41)
=> ( ! [X26] :
( is_Arr723427730le_alt(X26)
=> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X26),X41)) )
=> top_to186242507t_bool = X41 ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_350_UNIV__eq__I) ).
fof(fact_264_mem__def,axiom,
! [X5,X41] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),X41))
<=> hBOOL(hAPP_A1120018583t_bool(X41,X5)) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_264_mem__def) ).
fof(fact_345_UNIV__def,axiom,
top_to186242507t_bool = collec591097828le_alt(hAPP_b287951269t_bool(cOMBK_507931254le_alt,fTrue)),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_345_UNIV__def) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun1651000642t_bool(hAPP_b287951269t_bool(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls) ).
fof(gsy_c_fTrue,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_c_fTrue) ).
fof(fact_331_top__apply,axiom,
! [X5] :
( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X5))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_331_top__apply) ).
fof(fact_296_top1I,axiom,
! [X5] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X5)),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_296_top1I) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool,axiom,
is_bool(top_top_bool),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).
fof(fact_454_distinct__tl,axiom,
! [X132] :
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X132))
=> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,tl_Arr314474198le_alt(X132))) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_454_distinct__tl) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa,axiom,
! [X1,X2] : is_bool(hAPP_l300482276t_bool(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_c_hAPP_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa) ).
fof(fact_262_insert__Nil,axiom,
! [X61] : insert1969589781le_alt(X61,nil_Ar1135217151le_alt) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X61),nil_Ar1135217151le_alt),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_262_insert__Nil) ).
fof(fact_556_distinct_Osimps_I2_J,axiom,
! [X5,X45] :
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),X45)))
<=> ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
& hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X45)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_556_distinct_Osimps_I2_J) ).
fof(fact_4_dist,axiom,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,c),nil_Ar1135217151le_alt))))),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_4_dist) ).
fof(fact_452_tl_Osimps_I2_J,axiom,
! [X130,X131] : tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X130),X131)) = X131,
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_452_tl_Osimps_I2_J) ).
fof(fact_605_List_Oinsert__def,axiom,
! [X5,X45] :
( ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
=> insert1969589781le_alt(X5,X45) = X45 )
& ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
=> insert1969589781le_alt(X5,X45) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),X45) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_605_List_Oinsert__def) ).
fof(fact_364_append__butlast__last__id,axiom,
! [X78] :
( X78 != nil_Ar1135217151le_alt
=> hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,butlas123970891le_alt(X78)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,last_A1066338328le_alt(X78)),nil_Ar1135217151le_alt)) = X78 ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_364_append__butlast__last__id) ).
fof(fact_307_butlast_Osimps_I2_J,axiom,
! [X74,X75] :
( ( X75 = nil_Ar1135217151le_alt
=> butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X74),X75)) = nil_Ar1135217151le_alt )
& ( X75 != nil_Ar1135217151le_alt
=> butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X74),X75)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X74),butlas123970891le_alt(X75)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_307_butlast_Osimps_I2_J) ).
fof(fact_532_in__set__butlastD,axiom,
! [X5,X45] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(butlas123970891le_alt(X45))))
=> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45))) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_532_in__set__butlastD) ).
fof(fact_375_append__Nil,axiom,
! [X99] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X99) = X99,
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_375_append__Nil) ).
fof(fact_493_singleton__rev__conv,axiom,
! [X5,X45] :
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),nil_Ar1135217151le_alt) = rev_Ar955429983le_alt(X45)
<=> X45 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),nil_Ar1135217151le_alt) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_493_singleton__rev__conv) ).
fof(fact_514_rev__foldl__cons,axiom,
! [X45] : rev_Ar955429983le_alt(X45) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X45),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_514_rev__foldl__cons) ).
fof(fact_433_takeWhile__dropWhile__id,axiom,
! [X11,X45] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(X11,X45)),dropWh1165804960le_alt(X11,X45)) = X45,
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_433_takeWhile__dropWhile__id) ).
fof(fact_481_dropWhile__eq__drop,axiom,
! [X11,X45] : dropWh1165804960le_alt(X11,X45) = hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(X11,X45))),X45),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_481_dropWhile__eq__drop) ).
fof(fact_263_distinct__insert,axiom,
! [X62,X63] :
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X63))
=> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,insert1969589781le_alt(X62,X63))) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_263_distinct__insert) ).
fof(fact_479_hd__rev,axiom,
! [X146] :
( X146 != nil_Ar1135217151le_alt
=> hd_Arr1814706386le_alt(rev_Ar955429983le_alt(X146)) = last_A1066338328le_alt(X146) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_479_hd__rev) ).
fof(fact_523_set__takeWhileD,axiom,
! [X5,X11,X45] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(takeWh1545314552le_alt(X11,X45))))
=> ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
& hBOOL(hAPP_A1120018583t_bool(X11,X5)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_523_set__takeWhileD) ).
fof(fact_589_hd__in__set,axiom,
! [X45] :
( X45 != nil_Ar1135217151le_alt
=> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(X45)),set_Ar426477344le_alt(X45))) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_589_hd__in__set) ).
fof(fact_470_hd__append,axiom,
! [X140,X141] :
( ( X141 = nil_Ar1135217151le_alt
=> hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X141),X140)) = hd_Arr1814706386le_alt(X140) )
& ( X141 != nil_Ar1135217151le_alt
=> hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X141),X140)) = hd_Arr1814706386le_alt(X141) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_470_hd__append) ).
fof(fact_36_distinct_Osimps_I1_J,axiom,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,nil_Ar1135217151le_alt)),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_36_distinct_Osimps_I1_J) ).
fof(fact_282_null__rec_I1_J,axiom,
! [X66,X67] : ~ hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X66),X67))),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_282_null__rec_I1_J) ).
fof(fact_308_last_Osimps,axiom,
! [X76,X77] :
( is_Arr723427730le_alt(X76)
=> ( ( X77 = nil_Ar1135217151le_alt
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X76),X77)) = X76 )
& ( X77 != nil_Ar1135217151le_alt
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X76),X77)) = last_A1066338328le_alt(X77) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_308_last_Osimps) ).
fof(fact_41_list_Oinject,axiom,
! [X9,X33,X15,X34] :
( ( is_Arr723427730le_alt(X9)
& is_Arr723427730le_alt(X15) )
=> ( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X9),X33) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X15),X34)
<=> ( X9 = X15
& X33 = X34 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_41_list_Oinject) ).
fof(fact_425_dropWhile__eq__Cons__conv,axiom,
! [X11,X45,X6,X79] :
( dropWh1165804960le_alt(X11,X45) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X6),X79)
<=> ( X45 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(X11,X45)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X6),X79))
& ~ hBOOL(hAPP_A1120018583t_bool(X11,X6)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_425_dropWhile__eq__Cons__conv) ).
fof(fact_548_in__set__insert,axiom,
! [X5,X45] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
=> insert1969589781le_alt(X5,X45) = X45 ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_548_in__set__insert) ).
fof(fact_467_hd_Osimps,axiom,
! [X138,X139] :
( is_Arr723427730le_alt(X138)
=> hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X138),X139)) = X138 ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_467_hd_Osimps) ).
fof(help_fTrue_1_1_T,axiom,
! [X181] :
( is_bool(X181)
=> ( X181 = fTrue
| X181 = fFalse ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',help_fTrue_1_1_T) ).
fof(gsy_v_a____,hypothesis,
is_Arr723427730le_alt(a),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_v_a____) ).
fof(fact_531_takeWhile__eq__all__conv,axiom,
! [X11,X45] :
( takeWh1545314552le_alt(X11,X45) = X45
<=> ! [X26] :
( is_Arr723427730le_alt(X26)
=> ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X26),set_Ar426477344le_alt(X45)))
=> hBOOL(hAPP_A1120018583t_bool(X11,X26)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_531_takeWhile__eq__all__conv) ).
fof(fact_12_in__below,axiom,
! [X5,X6,X7,X9,X10] :
( ( is_Arr723427730le_alt(X5)
& is_Arr723427730le_alt(X6)
& is_Arr723427730le_alt(X9)
& is_Arr723427730le_alt(X10) )
=> ( X9 != X10
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X7),arrow_912654623le_Lin))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X6)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X7),X9),X10)))
<=> ( X5 != X6
& ( X6 = X9
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X10)),X7)) )
& ( X6 != X9
=> ( ( X5 = X9
=> ( X6 = X10
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X10),X6)),X7)) ) )
& ( X5 != X9
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X5),X6)),X7)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_12_in__below) ).
fof(conj_0,conjecture,
! [X3] :
( is_Arr859726945e_indi(X3)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,X3)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,X3)),c),b))) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',conj_0) ).
fof(fact_43_not__Cons__self,axiom,
! [X37,X38] : X37 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X38),X37),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_43_not__Cons__self) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_034,axiom,
! [X1,X2] :
( is_fun701126715l_bool(X2)
=> is_bool(hAPP_f147218624l_bool(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_034) ).
fof(help_fTrue_1_1_U,axiom,
hBOOL(fTrue),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',help_fTrue_1_1_U) ).
fof(gsy_c_List_Ohd_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt,axiom,
! [X1] : is_Arr723427730le_alt(hd_Arr1814706386le_alt(X1)),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_c_List_Ohd_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) ).
fof(fact_572_last__in__set,axiom,
! [X166] :
( X166 != nil_Ar1135217151le_alt
=> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X166)),set_Ar426477344le_alt(X166))) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_572_last__in__set) ).
fof(gsy_v_b____,hypothesis,
is_Arr723427730le_alt(b),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_v_b____) ).
fof(gsy_v_c____,hypothesis,
is_Arr723427730le_alt(c),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_v_c____) ).
fof(fact_114_funcset__mem,axiom,
! [X5,X40,X41,X42] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X40),pi_Arr1801471756t_bool(X41,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X42))))
=> ( hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),X41))
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X40,X5)),X42)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_114_funcset__mem) ).
fof(fact_316_UNIV__I,axiom,
! [X5] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X5),top_to207207712i_bool)),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_316_UNIV__I) ).
fof(fact_294_last__ConsR,axiom,
! [X72,X73] :
( X73 != nil_Ar1135217151le_alt
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X72),X73)) = last_A1066338328le_alt(X73) ),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_294_last__ConsR) ).
fof(fact_289_Prof__def,axiom,
arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_289_Prof__def) ).
fof(fact_0__096P_A_058_AProf_096,axiom,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',fact_0__096P_A_058_AProf_096) ).
fof(gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf,axiom,
is_fun701126715l_bool(arrow_583275979e_Prof),
file('/export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf) ).
fof(c_0_58,plain,
! [X45,X11,X5] :
( ( hBOOL(hAPP_A1120018583t_bool(X11,X5))
=> takeWh1545314552le_alt(X11,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),X45)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),takeWh1545314552le_alt(X11,X45)) )
& ( ~ hBOOL(hAPP_A1120018583t_bool(X11,X5))
=> takeWh1545314552le_alt(X11,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),X45)) = nil_Ar1135217151le_alt ) ),
inference(fof_simplification,[status(thm)],[fact_340_takeWhile_Osimps_I2_J]) ).
fof(c_0_59,plain,
! [X617,X618] : nil_Ar1135217151le_alt != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X617),X618),
inference(variable_rename,[status(thm)],[fact_37_list_Osimps_I2_J]) ).
fof(c_0_60,plain,
! [X1654,X1655,X1656] :
( ( ~ hBOOL(hAPP_A1120018583t_bool(X1655,X1656))
| takeWh1545314552le_alt(X1655,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1656),X1654)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1656),takeWh1545314552le_alt(X1655,X1654)) )
& ( hBOOL(hAPP_A1120018583t_bool(X1655,X1656))
| takeWh1545314552le_alt(X1655,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1656),X1654)) = nil_Ar1135217151le_alt ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])]) ).
cnf(c_0_61,plain,
nil_Ar1135217151le_alt != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_62,plain,
( takeWh1545314552le_alt(X1,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X3)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),takeWh1545314552le_alt(X1,X3))
| ~ hBOOL(hAPP_A1120018583t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_63,plain,
! [X776,X779,X780,X781] :
( ( is_Arr723427730le_alt(esk30_1(X776))
| X776 = nil_Ar1135217151le_alt )
& ( X776 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,esk30_1(X776)),esk31_1(X776))
| X776 = nil_Ar1135217151le_alt )
& ( ~ is_Arr723427730le_alt(X780)
| X779 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X780),X781)
| X779 != nil_Ar1135217151le_alt ) ),
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_80_neq__Nil__conv])])])])])]) ).
cnf(c_0_64,plain,
( takeWh1545314552le_alt(X1,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X3)) != nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_A1120018583t_bool(X1,X2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
( X1 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,esk30_1(X1)),esk31_1(X1))
| X1 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_66,plain,
! [X2719,X2720] :
( ~ is_bool(X2719)
| hAPP_A1120018583t_bool(hAPP_b287951269t_bool(cOMBK_507931254le_alt,X2719),X2720) = X2719 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____wyl])]) ).
fof(c_0_67,plain,
! [X1534] :
( ~ is_fun1651000642t_bool(X1534)
| collec591097828le_alt(X1534) = X1534 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_272_Collect__def])]) ).
fof(c_0_68,plain,
! [X1663] :
( ( is_Arr723427730le_alt(esk167_1(X1663))
| top_to186242507t_bool = X1663
| ~ is_fun1651000642t_bool(X1663) )
& ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,esk167_1(X1663)),X1663))
| top_to186242507t_bool = X1663
| ~ is_fun1651000642t_bool(X1663) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_350_UNIV__eq__I])])])]) ).
fof(c_0_69,plain,
! [X1518,X1519] :
( ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1518),X1519))
| hBOOL(hAPP_A1120018583t_bool(X1519,X1518)) )
& ( ~ hBOOL(hAPP_A1120018583t_bool(X1519,X1518))
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1518),X1519)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_264_mem__def])]) ).
cnf(c_0_70,plain,
( X1 = nil_Ar1135217151le_alt
| takeWh1545314552le_alt(X2,X1) != nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_A1120018583t_bool(X2,esk30_1(X1))) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( hAPP_A1120018583t_bool(hAPP_b287951269t_bool(cOMBK_507931254le_alt,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,plain,
( collec591097828le_alt(X1) = X1
| ~ is_fun1651000642t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,plain,
top_to186242507t_bool = collec591097828le_alt(hAPP_b287951269t_bool(cOMBK_507931254le_alt,fTrue)),
inference(split_conjunct,[status(thm)],[fact_345_UNIV__def]) ).
fof(c_0_74,plain,
! [X259,X260] :
( ~ is_bool(X260)
| is_fun1651000642t_bool(hAPP_b287951269t_bool(X259,X260)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____wyls])]) ).
cnf(c_0_75,plain,
( top_to186242507t_bool = X1
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,esk167_1(X1)),X1))
| ~ is_fun1651000642t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2),X1))
| ~ hBOOL(hAPP_A1120018583t_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,plain,
( X1 = nil_Ar1135217151le_alt
| takeWh1545314552le_alt(hAPP_b287951269t_bool(cOMBK_507931254le_alt,X2),X1) != nil_Ar1135217151le_alt
| ~ hBOOL(X2)
| ~ is_bool(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
( hBOOL(hAPP_A1120018583t_bool(X1,X2))
| takeWh1545314552le_alt(X1,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X3)) = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_79,plain,
( hAPP_b287951269t_bool(cOMBK_507931254le_alt,fTrue) = top_to186242507t_bool
| ~ is_fun1651000642t_bool(hAPP_b287951269t_bool(cOMBK_507931254le_alt,fTrue)) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,plain,
( is_fun1651000642t_bool(hAPP_b287951269t_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,plain,
is_bool(fTrue),
inference(split_conjunct,[status(thm)],[gsy_c_fTrue]) ).
cnf(c_0_82,plain,
( top_to186242507t_bool = X1
| ~ hBOOL(hAPP_A1120018583t_bool(X1,esk167_1(X1)))
| ~ is_fun1651000642t_bool(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( hBOOL(hAPP_A1120018583t_bool(hAPP_b287951269t_bool(cOMBK_507931254le_alt,X1),X2))
| ~ hBOOL(X1)
| ~ is_bool(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_61]) ).
cnf(c_0_84,plain,
hAPP_b287951269t_bool(cOMBK_507931254le_alt,fTrue) = top_to186242507t_bool,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
fof(c_0_85,plain,
! [X1644] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1644))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1644)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_331_top__apply])]) ).
fof(c_0_86,plain,
! [X1587] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1587)),
inference(variable_rename,[status(thm)],[fact_296_top1I]) ).
cnf(c_0_87,plain,
( hAPP_b287951269t_bool(cOMBK_507931254le_alt,X1) = top_to186242507t_bool
| ~ hBOOL(X1)
| ~ is_bool(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_80]) ).
cnf(c_0_88,plain,
hAPP_A1120018583t_bool(top_to186242507t_bool,X1) = fTrue,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_84]),c_0_81])]) ).
cnf(c_0_89,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_90,plain,
hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_91,plain,
( fTrue = X1
| ~ hBOOL(X1)
| ~ is_bool(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_87]),c_0_88]) ).
cnf(c_0_92,plain,
hBOOL(top_top_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_93,plain,
is_bool(top_top_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool]) ).
cnf(c_0_94,plain,
fTrue = top_top_bool,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
fof(c_0_95,plain,
! [X2007] :
( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X2007))
| hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,tl_Arr314474198le_alt(X2007))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_454_distinct__tl])]) ).
fof(c_0_96,plain,
! [X279,X280] : is_bool(hAPP_l300482276t_bool(X279,X280)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa]) ).
fof(c_0_97,plain,
! [X1515] : insert1969589781le_alt(X1515,nil_Ar1135217151le_alt) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1515),nil_Ar1135217151le_alt),
inference(variable_rename,[status(thm)],[fact_262_insert__Nil]) ).
fof(c_0_98,plain,
! [X5,X45] :
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),X45)))
<=> ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
& hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X45)) ) ),
inference(fof_simplification,[status(thm)],[fact_556_distinct_Osimps_I2_J]) ).
cnf(c_0_99,plain,
( top_top_bool = X1
| ~ hBOOL(X1)
| ~ is_bool(X1) ),
inference(rw,[status(thm)],[c_0_91,c_0_94]) ).
cnf(c_0_100,plain,
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,tl_Arr314474198le_alt(X1)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_101,plain,
is_bool(hAPP_l300482276t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_102,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,c),nil_Ar1135217151le_alt))))),
inference(split_conjunct,[status(thm)],[fact_4_dist]) ).
cnf(c_0_103,plain,
insert1969589781le_alt(X1,nil_Ar1135217151le_alt) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
fof(c_0_104,plain,
! [X2005,X2006] : tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2005),X2006)) = X2006,
inference(variable_rename,[status(thm)],[fact_452_tl_Osimps_I2_J]) ).
fof(c_0_105,plain,
! [X2283,X2284] :
( ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2283),set_Ar426477344le_alt(X2284)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2283),X2284))) )
& ( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X2284))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2283),X2284))) )
& ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2283),set_Ar426477344le_alt(X2284)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X2284))
| hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2283),X2284))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])]) ).
cnf(c_0_106,plain,
( hAPP_l300482276t_bool(distin85347314le_alt,tl_Arr314474198le_alt(X1)) = top_top_bool
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_107,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt))))),
inference(rw,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
fof(c_0_109,plain,
! [X5,X45] :
( ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
=> insert1969589781le_alt(X5,X45) = X45 )
& ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
=> insert1969589781le_alt(X5,X45) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),X45) ) ),
inference(fof_simplification,[status(thm)],[fact_605_List_Oinsert__def]) ).
fof(c_0_110,plain,
! [X1681] :
( X1681 = nil_Ar1135217151le_alt
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,butlas123970891le_alt(X1681)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,last_A1066338328le_alt(X1681)),nil_Ar1135217151le_alt)) = X1681 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_364_append__butlast__last__id])]) ).
fof(c_0_111,plain,
! [X1599,X1600] :
( ( X1600 != nil_Ar1135217151le_alt
| butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1599),X1600)) = nil_Ar1135217151le_alt )
& ( X1600 = nil_Ar1135217151le_alt
| butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1599),X1600)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1599),butlas123970891le_alt(X1600)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307_butlast_Osimps_I2_J])]) ).
fof(c_0_112,plain,
! [X2227,X2228] :
( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2227),set_Ar426477344le_alt(butlas123970891le_alt(X2228))))
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2227),set_Ar426477344le_alt(X2228))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_532_in__set__butlastD])]) ).
cnf(c_0_113,plain,
( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_114,plain,
hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = top_top_bool,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
fof(c_0_115,plain,
! [X2409,X2410] :
( ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2409),set_Ar426477344le_alt(X2410)))
| insert1969589781le_alt(X2409,X2410) = X2410 )
& ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2409),set_Ar426477344le_alt(X2410)))
| insert1969589781le_alt(X2409,X2410) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2409),X2410) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])]) ).
cnf(c_0_116,plain,
( X1 = nil_Ar1135217151le_alt
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,butlas123970891le_alt(X1)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,last_A1066338328le_alt(X1)),nil_Ar1135217151le_alt)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_117,plain,
( butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X1)) = nil_Ar1135217151le_alt
| X1 != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
fof(c_0_118,plain,
! [X1723] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X1723) = X1723,
inference(variable_rename,[status(thm)],[fact_375_append__Nil]) ).
fof(c_0_119,plain,
! [X2127,X2128] :
( ( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2127),nil_Ar1135217151le_alt) != rev_Ar955429983le_alt(X2128)
| X2128 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2127),nil_Ar1135217151le_alt) )
& ( X2128 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2127),nil_Ar1135217151le_alt)
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2127),nil_Ar1135217151le_alt) = rev_Ar955429983le_alt(X2128) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_493_singleton__rev__conv])]) ).
fof(c_0_120,plain,
! [X2172] : rev_Ar955429983le_alt(X2172) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X2172),
inference(variable_rename,[status(thm)],[fact_514_rev__foldl__cons]) ).
fof(c_0_121,plain,
! [X1941,X1942] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(X1941,X1942)),dropWh1165804960le_alt(X1941,X1942)) = X1942,
inference(variable_rename,[status(thm)],[fact_433_takeWhile__dropWhile__id]) ).
fof(c_0_122,plain,
! [X2108,X2109] : dropWh1165804960le_alt(X2108,X2109) = hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(X2108,X2109))),X2109),
inference(variable_rename,[status(thm)],[fact_481_dropWhile__eq__drop]) ).
cnf(c_0_123,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2)))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(butlas123970891le_alt(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_124,plain,
~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,b),set_Ar426477344le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_92])]) ).
cnf(c_0_125,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2)))
| insert1969589781le_alt(X1,X2) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
fof(c_0_126,plain,
! [X1516,X1517] :
( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1517))
| hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,insert1969589781le_alt(X1516,X1517))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_263_distinct__insert])]) ).
cnf(c_0_127,plain,
( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,butlas123970891le_alt(X1)),insert1969589781le_alt(last_A1066338328le_alt(X1),nil_Ar1135217151le_alt)) = X1
| X1 = nil_Ar1135217151le_alt ),
inference(rw,[status(thm)],[c_0_116,c_0_103]) ).
cnf(c_0_128,plain,
butlas123970891le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = nil_Ar1135217151le_alt,
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_117]),c_0_103]) ).
cnf(c_0_129,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_130,plain,
insert1969589781le_alt(X1,nil_Ar1135217151le_alt) != nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_61,c_0_103]) ).
fof(c_0_131,plain,
! [X2105] :
( X2105 = nil_Ar1135217151le_alt
| hd_Arr1814706386le_alt(rev_Ar955429983le_alt(X2105)) = last_A1066338328le_alt(X2105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_479_hd__rev])]) ).
cnf(c_0_132,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),nil_Ar1135217151le_alt) = rev_Ar955429983le_alt(X1)
| X1 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),nil_Ar1135217151le_alt) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_133,plain,
rev_Ar955429983le_alt(X1) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X1),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
fof(c_0_134,plain,
! [X2197,X2198,X2199] :
( ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2197),set_Ar426477344le_alt(X2199)))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2197),set_Ar426477344le_alt(takeWh1545314552le_alt(X2198,X2199)))) )
& ( hBOOL(hAPP_A1120018583t_bool(X2198,X2197))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2197),set_Ar426477344le_alt(takeWh1545314552le_alt(X2198,X2199)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_523_set__takeWhileD])])]) ).
fof(c_0_135,plain,
! [X2369] :
( X2369 = nil_Ar1135217151le_alt
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(X2369)),set_Ar426477344le_alt(X2369))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_589_hd__in__set])]) ).
fof(c_0_136,plain,
! [X2081,X2082] :
( ( X2082 != nil_Ar1135217151le_alt
| hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X2082),X2081)) = hd_Arr1814706386le_alt(X2081) )
& ( X2082 = nil_Ar1135217151le_alt
| hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X2082),X2081)) = hd_Arr1814706386le_alt(X2082) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_470_hd__append])]) ).
cnf(c_0_137,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(X1,X2)),dropWh1165804960le_alt(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_138,plain,
dropWh1165804960le_alt(X1,X2) = hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(X1,X2))),X2),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_139,plain,
~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,a),set_Ar426477344le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt))))),
inference(spm,[status(thm)],[c_0_113,c_0_107]) ).
cnf(c_0_140,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2)))
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(butlas123970891le_alt(X2)),X1)) ),
inference(spm,[status(thm)],[c_0_123,c_0_76]) ).
cnf(c_0_141,plain,
( hBOOL(hAPP_A1120018583t_bool(X2,X1))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_142,plain,
( X1 = nil_Ar1135217151le_alt
| butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X1)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),butlas123970891le_alt(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_143,plain,
hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt)) = insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_144,plain,
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,insert1969589781le_alt(X2,X1)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_145,plain,
insert1969589781le_alt(last_A1066338328le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),nil_Ar1135217151le_alt) = insert1969589781le_alt(X1,nil_Ar1135217151le_alt),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130]) ).
cnf(c_0_146,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,nil_Ar1135217151le_alt)),
inference(split_conjunct,[status(thm)],[fact_36_distinct_Osimps_I1_J]) ).
fof(c_0_147,plain,
! [X66,X67] : ~ hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X66),X67))),
inference(fof_simplification,[status(thm)],[fact_282_null__rec_I1_J]) ).
fof(c_0_148,plain,
! [X1601,X1602] :
( ( X1602 != nil_Ar1135217151le_alt
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1601),X1602)) = X1601
| ~ is_Arr723427730le_alt(X1601) )
& ( X1602 = nil_Ar1135217151le_alt
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1601),X1602)) = last_A1066338328le_alt(X1602)
| ~ is_Arr723427730le_alt(X1601) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_308_last_Osimps])])]) ).
cnf(c_0_149,plain,
( X1 = nil_Ar1135217151le_alt
| hd_Arr1814706386le_alt(rev_Ar955429983le_alt(X1)) = last_A1066338328le_alt(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_150,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),nil_Ar1135217151le_alt) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X1)
| X1 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),nil_Ar1135217151le_alt) ),
inference(rw,[status(thm)],[c_0_132,c_0_133]) ).
fof(c_0_151,plain,
! [X625,X626,X627,X628] :
( ( X625 = X627
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X625),X626) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X627),X628)
| ~ is_Arr723427730le_alt(X625)
| ~ is_Arr723427730le_alt(X627) )
& ( X626 = X628
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X625),X626) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X627),X628)
| ~ is_Arr723427730le_alt(X625)
| ~ is_Arr723427730le_alt(X627) )
& ( X625 != X627
| X626 != X628
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X625),X626) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X627),X628)
| ~ is_Arr723427730le_alt(X625)
| ~ is_Arr723427730le_alt(X627) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_41_list_Oinject])])]) ).
fof(c_0_152,plain,
! [X11,X45,X6,X79] :
( dropWh1165804960le_alt(X11,X45) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X6),X79)
<=> ( X45 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(X11,X45)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X6),X79))
& ~ hBOOL(hAPP_A1120018583t_bool(X11,X6)) ) ),
inference(fof_simplification,[status(thm)],[fact_425_dropWhile__eq__Cons__conv]) ).
fof(c_0_153,plain,
! [X2267,X2268] :
( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2267),set_Ar426477344le_alt(X2268)))
| insert1969589781le_alt(X2267,X2268) = X2268 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_548_in__set__insert])]) ).
cnf(c_0_154,plain,
( hBOOL(hAPP_A1120018583t_bool(X1,X2))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2),set_Ar426477344le_alt(takeWh1545314552le_alt(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_155,plain,
( X1 = nil_Ar1135217151le_alt
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(X1)),set_Ar426477344le_alt(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_156,plain,
( X1 = nil_Ar1135217151le_alt
| hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)) = hd_Arr1814706386le_alt(X1) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_157,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(X1,X2)),hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(X1,X2))),X2)) = X2,
inference(rw,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_158,plain,
~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),a)),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_159,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2) = insert1969589781le_alt(X1,X2)
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X2),X1)) ),
inference(spm,[status(thm)],[c_0_141,c_0_125]) ).
cnf(c_0_160,plain,
butlas123970891le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = insert1969589781le_alt(b,nil_Ar1135217151le_alt),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_128]),c_0_103]),c_0_130]) ).
fof(c_0_161,plain,
! [X2073,X2074] :
( ~ is_Arr723427730le_alt(X2073)
| hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2073),X2074)) = X2073 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_467_hd_Osimps])]) ).
cnf(c_0_162,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,insert1969589781le_alt(X1,nil_Ar1135217151le_alt))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).
fof(c_0_163,plain,
! [X1553,X1554] : ~ hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1553),X1554))),
inference(variable_rename,[status(thm)],[c_0_147]) ).
fof(c_0_164,plain,
! [X2700] :
( ~ is_bool(X2700)
| X2700 = fTrue
| X2700 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fTrue_1_1_T])]) ).
cnf(c_0_165,plain,
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X1)) = X2
| X1 != nil_Ar1135217151le_alt
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_166,plain,
( X1 = nil_Ar1135217151le_alt
| hd_Arr1814706386le_alt(foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X1)) = last_A1066338328le_alt(X1) ),
inference(rw,[status(thm)],[c_0_149,c_0_133]) ).
cnf(c_0_167,plain,
foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = insert1969589781le_alt(X1,nil_Ar1135217151le_alt),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_103]),c_0_103])]) ).
cnf(c_0_168,plain,
( X1 = X2
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X3) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X4)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
fof(c_0_169,plain,
! [X1923,X1924,X1925,X1926] :
( ( X1924 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(X1923,X1924)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1925),X1926))
| dropWh1165804960le_alt(X1923,X1924) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1925),X1926) )
& ( ~ hBOOL(hAPP_A1120018583t_bool(X1923,X1925))
| dropWh1165804960le_alt(X1923,X1924) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1925),X1926) )
& ( X1924 != hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,takeWh1545314552le_alt(X1923,X1924)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1925),X1926))
| hBOOL(hAPP_A1120018583t_bool(X1923,X1925))
| dropWh1165804960le_alt(X1923,X1924) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1925),X1926) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])])]) ).
cnf(c_0_170,plain,
( insert1969589781le_alt(X1,X2) = X2
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_171,plain,
( takeWh1545314552le_alt(X1,X2) = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(X1,hd_Arr1814706386le_alt(takeWh1545314552le_alt(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_172,plain,
( hd_Arr1814706386le_alt(takeWh1545314552le_alt(X1,X2)) = hd_Arr1814706386le_alt(X2)
| takeWh1545314552le_alt(X1,X2) = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_173,plain,
hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),insert1969589781le_alt(b,nil_Ar1135217151le_alt)) = insert1969589781le_alt(a,insert1969589781le_alt(b,nil_Ar1135217151le_alt)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_143]),c_0_160]),c_0_143]),c_0_160]) ).
cnf(c_0_174,plain,
( hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = X1
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_175,hypothesis,
is_Arr723427730le_alt(a),
inference(split_conjunct,[status(thm)],[gsy_v_a____]) ).
cnf(c_0_176,plain,
~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(nil_Ar1135217151le_alt))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_103]),c_0_162])]) ).
fof(c_0_177,plain,
! [X2221,X2222,X2223,X2224,X2225] :
( ( takeWh1545314552le_alt(X2221,X2222) != X2222
| ~ is_Arr723427730le_alt(X2223)
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2223),set_Ar426477344le_alt(X2222)))
| hBOOL(hAPP_A1120018583t_bool(X2221,X2223)) )
& ( is_Arr723427730le_alt(esk238_2(X2224,X2225))
| takeWh1545314552le_alt(X2224,X2225) = X2225 )
& ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,esk238_2(X2224,X2225)),set_Ar426477344le_alt(X2225)))
| takeWh1545314552le_alt(X2224,X2225) = X2225 )
& ( ~ hBOOL(hAPP_A1120018583t_bool(X2224,esk238_2(X2224,X2225)))
| takeWh1545314552le_alt(X2224,X2225) = X2225 ) ),
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_531_takeWhile__eq__all__conv])])])])])]) ).
fof(c_0_178,plain,
! [X513,X514,X515,X516,X517] :
( ( X513 != X514
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X514 != X516
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X517)),X515))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X513 != X516
| X514 = X517
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X517),X514)),X515))
| X514 = X516
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X513 = X516
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),X515))
| X514 = X516
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X514 != X516
| X514 = X516
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X513 != X516
| X513 = X516
| X514 = X516
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),X515))
| X513 = X516
| X514 = X516
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X513 != X516
| X514 != X517
| X514 = X516
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),X515))
| X514 != X517
| X514 = X516
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X513 != X516
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X517),X514)),X515))
| X514 = X516
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),X515))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X517),X514)),X515))
| X514 = X516
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X514 != X516
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X517)),X515))
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X513 != X516
| X513 = X516
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X517)),X515))
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),X515))
| X513 = X516
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X517)),X515))
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X513 != X516
| X514 != X517
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X517)),X515))
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),X515))
| X514 != X517
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X517)),X515))
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( X513 != X516
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X517),X514)),X515))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X517)),X515))
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),X515))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X517),X514)),X515))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X517)),X515))
| X513 = X514
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X513),X514)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X515),X516),X517)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X515),arrow_912654623le_Lin))
| X516 = X517
| ~ is_Arr723427730le_alt(X513)
| ~ is_Arr723427730le_alt(X514)
| ~ is_Arr723427730le_alt(X516)
| ~ is_Arr723427730le_alt(X517) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_12_in__below])])]) ).
fof(c_0_179,negated_conjecture,
~ ! [X3] :
( is_Arr859726945e_indi(X3)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,X3)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,X3)),c),b))) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_180,plain,
~ hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_181,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_182,plain,
( last_A1066338328le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = X1
| ~ is_Arr723427730le_alt(X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_165]),c_0_103]) ).
cnf(c_0_183,plain,
last_A1066338328le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = hd_Arr1814706386le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_130]) ).
cnf(c_0_184,plain,
( X1 = X2
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X3) != insert1969589781le_alt(X2,nil_Ar1135217151le_alt)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_103]) ).
cnf(c_0_185,plain,
( ~ hBOOL(hAPP_A1120018583t_bool(X1,X2))
| dropWh1165804960le_alt(X1,X3) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X4) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_186,plain,
( insert1969589781le_alt(X1,X2) = X2
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X2),X1)) ),
inference(spm,[status(thm)],[c_0_170,c_0_76]) ).
cnf(c_0_187,plain,
( takeWh1545314552le_alt(X1,X2) = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(X1,hd_Arr1814706386le_alt(X2))) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_188,plain,
( hd_Arr1814706386le_alt(butlas123970891le_alt(X1)) = hd_Arr1814706386le_alt(X1)
| butlas123970891le_alt(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_156,c_0_127]) ).
cnf(c_0_189,plain,
butlas123970891le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,nil_Ar1135217151le_alt))) = insert1969589781le_alt(a,nil_Ar1135217151le_alt),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_173]),c_0_128]),c_0_103]),c_0_130]) ).
cnf(c_0_190,plain,
hd_Arr1814706386le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,nil_Ar1135217151le_alt))) = a,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_173]),c_0_175])]) ).
cnf(c_0_191,plain,
insert1969589781le_alt(a,insert1969589781le_alt(b,nil_Ar1135217151le_alt)) != nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_61,c_0_173]) ).
cnf(c_0_192,plain,
~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(nil_Ar1135217151le_alt),X1)),
inference(spm,[status(thm)],[c_0_176,c_0_76]) ).
fof(c_0_193,plain,
! [X631,X632] : X631 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X632),X631),
inference(variable_rename,[status(thm)],[fact_43_not__Cons__self]) ).
cnf(c_0_194,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,esk238_2(X1,X2)),set_Ar426477344le_alt(X2)))
| takeWh1545314552le_alt(X1,X2) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_195,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| X2 = X4
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X5),X2),X4)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
fof(c_0_196,negated_conjecture,
( is_Arr859726945e_indi(esk292_0)
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,esk292_0)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,esk292_0)),c),b))) )
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,esk292_0)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,esk292_0)),c),b))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_179])])]) ).
fof(c_0_197,plain,
! [X345,X346] :
( ~ is_fun701126715l_bool(X346)
| is_bool(hAPP_f147218624l_bool(X345,X346)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_034])]) ).
cnf(c_0_198,plain,
~ hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,insert1969589781le_alt(X1,nil_Ar1135217151le_alt))),
inference(spm,[status(thm)],[c_0_180,c_0_103]) ).
cnf(c_0_199,plain,
( hAPP_l300482276t_bool(X1,X2) = fFalse
| hAPP_l300482276t_bool(X1,X2) = fTrue ),
inference(spm,[status(thm)],[c_0_181,c_0_101]) ).
cnf(c_0_200,plain,
hBOOL(fTrue),
inference(split_conjunct,[status(thm)],[help_fTrue_1_1_U]) ).
cnf(c_0_201,plain,
( X1 = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),hd_Arr1814706386le_alt(X1))) ),
inference(spm,[status(thm)],[c_0_141,c_0_155]) ).
cnf(c_0_202,plain,
( hd_Arr1814706386le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = X1
| ~ is_Arr723427730le_alt(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_203,plain,
( esk30_1(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = X1
| ~ is_Arr723427730le_alt(esk30_1(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)))
| ~ is_Arr723427730le_alt(X1) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_65])]),c_0_130]) ).
cnf(c_0_204,plain,
( is_Arr723427730le_alt(esk30_1(X1))
| X1 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_205,plain,
! [X191] : is_Arr723427730le_alt(hd_Arr1814706386le_alt(X191)),
inference(variable_rename,[status(thm)],[gsy_c_List_Ohd_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt]) ).
cnf(c_0_206,plain,
( hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(X1,X3))),X3) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X4)
| ~ hBOOL(hAPP_A1120018583t_bool(X1,X2)) ),
inference(rw,[status(thm)],[c_0_185,c_0_138]) ).
cnf(c_0_207,plain,
( takeWh1545314552le_alt(set_Ar426477344le_alt(X1),X2) = nil_Ar1135217151le_alt
| insert1969589781le_alt(hd_Arr1814706386le_alt(X2),X1) = X1 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_208,plain,
hd_Arr1814706386le_alt(insert1969589781le_alt(a,nil_Ar1135217151le_alt)) = a,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]),c_0_130]),c_0_191]) ).
cnf(c_0_209,plain,
takeWh1545314552le_alt(set_Ar426477344le_alt(nil_Ar1135217151le_alt),X1) = nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_192,c_0_171]) ).
fof(c_0_210,plain,
! [X2331] :
( X2331 = nil_Ar1135217151le_alt
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X2331)),set_Ar426477344le_alt(X2331))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_572_last__in__set])]) ).
cnf(c_0_211,plain,
X1 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_212,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),takeWh1545314552le_alt(X2,X3)) = insert1969589781le_alt(X1,takeWh1545314552le_alt(X2,X3))
| hBOOL(hAPP_A1120018583t_bool(X2,X1)) ),
inference(spm,[status(thm)],[c_0_154,c_0_125]) ).
cnf(c_0_213,plain,
( takeWh1545314552le_alt(X1,X2) = X2
| ~ hBOOL(hAPP_A1120018583t_bool(X1,esk238_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_214,plain,
( takeWh1545314552le_alt(X1,X2) = X2
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X2),esk238_2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_141,c_0_194]) ).
cnf(c_0_215,plain,
( X3 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X5),X2),X4)))
| X2 = X4
| X1 != X2
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X4)),X5))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X4) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_216,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X4),X1),X2)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1) ),
inference(er,[status(thm)],[c_0_195]) ).
cnf(c_0_217,negated_conjecture,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,esk292_0)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,esk292_0)),c),b))) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_218,hypothesis,
is_Arr723427730le_alt(b),
inference(split_conjunct,[status(thm)],[gsy_v_b____]) ).
cnf(c_0_219,hypothesis,
is_Arr723427730le_alt(c),
inference(split_conjunct,[status(thm)],[gsy_v_c____]) ).
fof(c_0_220,plain,
! [X916,X917,X918,X919] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X917),pi_Arr1801471756t_bool(X918,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X919))))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X916),X918))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X917,X916)),X919)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_114_funcset__mem])]) ).
fof(c_0_221,plain,
! [X1629] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1629),top_to207207712i_bool)),
inference(variable_rename,[status(thm)],[fact_316_UNIV__I]) ).
cnf(c_0_222,plain,
( X1 = fFalse
| X1 = top_top_bool
| ~ is_bool(X1) ),
inference(rw,[status(thm)],[c_0_181,c_0_94]) ).
cnf(c_0_223,plain,
( is_bool(hAPP_f147218624l_bool(X2,X1))
| ~ is_fun701126715l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_224,plain,
hAPP_l300482276t_bool(null_A1369988103le_alt,insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200])]) ).
cnf(c_0_225,plain,
( hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),X1))
| ~ is_Arr723427730le_alt(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_130]) ).
cnf(c_0_226,plain,
( esk30_1(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = X1
| ~ is_Arr723427730le_alt(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_130]) ).
cnf(c_0_227,plain,
insert1969589781le_alt(hd_Arr1814706386le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),nil_Ar1135217151le_alt) = insert1969589781le_alt(X1,nil_Ar1135217151le_alt),
inference(rw,[status(thm)],[c_0_145,c_0_183]) ).
cnf(c_0_228,plain,
is_Arr723427730le_alt(hd_Arr1814706386le_alt(X1)),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_229,plain,
( hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(X1,X2))),X2) != insert1969589781le_alt(X3,nil_Ar1135217151le_alt)
| ~ hBOOL(hAPP_A1120018583t_bool(X1,X3)) ),
inference(spm,[status(thm)],[c_0_206,c_0_103]) ).
cnf(c_0_230,plain,
( takeWh1545314552le_alt(set_Ar426477344le_alt(X1),insert1969589781le_alt(a,nil_Ar1135217151le_alt)) = nil_Ar1135217151le_alt
| insert1969589781le_alt(a,X1) = X1 ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_231,plain,
hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(nil_Ar1135217151le_alt)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_209]),c_0_129]) ).
cnf(c_0_232,plain,
( X1 = nil_Ar1135217151le_alt
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X1)),set_Ar426477344le_alt(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
fof(c_0_233,plain,
! [X1584,X1585] :
( X1585 = nil_Ar1135217151le_alt
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1584),X1585)) = last_A1066338328le_alt(X1585) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_294_last__ConsR])]) ).
cnf(c_0_234,plain,
( hBOOL(hAPP_A1120018583t_bool(X1,X2))
| insert1969589781le_alt(X2,takeWh1545314552le_alt(X1,X3)) != takeWh1545314552le_alt(X1,X3) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_235,plain,
takeWh1545314552le_alt(set_Ar426477344le_alt(X1),X1) = X1,
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_236,negated_conjecture,
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,esk292_0)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,esk292_0)),c),b))) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_237,plain,
( X1 = X2
| X1 = X3
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X4),X1),X2)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),X4))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1) ),
inference(er,[status(thm)],[c_0_215]) ).
cnf(c_0_238,negated_conjecture,
( c = b
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,esk292_0)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,esk292_0)),arrow_912654623le_Lin)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_175]),c_0_219])]) ).
cnf(c_0_239,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X4)),X3))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3))))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_240,plain,
arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
inference(split_conjunct,[status(thm)],[fact_289_Prof__def]) ).
cnf(c_0_241,plain,
hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_242,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
inference(split_conjunct,[status(thm)],[fact_0__096P_A_058_AProf_096]) ).
cnf(c_0_243,plain,
( hAPP_f147218624l_bool(X1,X2) = top_top_bool
| hAPP_f147218624l_bool(X1,X2) = fFalse
| ~ is_fun701126715l_bool(X2) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_244,plain,
is_fun701126715l_bool(arrow_583275979e_Prof),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf]) ).
cnf(c_0_245,plain,
~ hBOOL(fFalse),
inference(rw,[status(thm)],[c_0_198,c_0_224]) ).
cnf(c_0_246,plain,
( X1 = nil_Ar1135217151le_alt
| takeWh1545314552le_alt(set_Ar426477344le_alt(insert1969589781le_alt(esk30_1(X1),nil_Ar1135217151le_alt)),X1) != nil_Ar1135217151le_alt ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_225]),c_0_204]) ).
cnf(c_0_247,plain,
( takeWh1545314552le_alt(X1,insert1969589781le_alt(X2,nil_Ar1135217151le_alt)) = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(X1,X2)) ),
inference(spm,[status(thm)],[c_0_78,c_0_103]) ).
cnf(c_0_248,plain,
esk30_1(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = hd_Arr1814706386le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228])]) ).
cnf(c_0_249,plain,
( insert1969589781le_alt(a,X1) = X1
| insert1969589781le_alt(a,nil_Ar1135217151le_alt) != insert1969589781le_alt(X2,nil_Ar1135217151le_alt)
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
cnf(c_0_250,plain,
( X1 = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),last_A1066338328le_alt(X1))) ),
inference(spm,[status(thm)],[c_0_141,c_0_232]) ).
cnf(c_0_251,plain,
( X1 = nil_Ar1135217151le_alt
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X1)) = last_A1066338328le_alt(X1) ),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_252,plain,
~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt))),a)),
inference(spm,[status(thm)],[c_0_139,c_0_76]) ).
cnf(c_0_253,plain,
( hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),X2))
| insert1969589781le_alt(X2,X1) != X1 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_254,negated_conjecture,
( c = a
| c = b
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,esk292_0)),arrow_912654623le_Lin)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_218]),c_0_175]),c_0_219])]),c_0_238]) ).
cnf(c_0_255,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),arrow_583275979e_Prof)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241])]) ).
cnf(c_0_256,plain,
hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof) = top_top_bool,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244])]),c_0_245]) ).
cnf(c_0_257,plain,
hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),X1)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]),c_0_227]),c_0_130]) ).
cnf(c_0_258,plain,
( insert1969589781le_alt(a,X1) = X1
| X1 = nil_Ar1135217151le_alt
| insert1969589781le_alt(last_A1066338328le_alt(X1),nil_Ar1135217151le_alt) != insert1969589781le_alt(a,nil_Ar1135217151le_alt) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_259,plain,
last_A1066338328le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = hd_Arr1814706386le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_143]),c_0_183]),c_0_130]) ).
cnf(c_0_260,plain,
insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) != insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_143]),c_0_143]) ).
cnf(c_0_261,plain,
insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)) != nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_61,c_0_143]) ).
cnf(c_0_262,negated_conjecture,
( c = b
| c = a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_92])]) ).
cnf(c_0_263,plain,
insert1969589781le_alt(X1,insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = insert1969589781le_alt(X1,nil_Ar1135217151le_alt),
inference(spm,[status(thm)],[c_0_186,c_0_257]) ).
cnf(c_0_264,plain,
insert1969589781le_alt(c,nil_Ar1135217151le_alt) != insert1969589781le_alt(a,nil_Ar1135217151le_alt),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_227]),c_0_260]),c_0_261]) ).
cnf(c_0_265,negated_conjecture,
c = a,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_262]),c_0_263]),c_0_211]) ).
cnf(c_0_266,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_265])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT170+2 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 11:52:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.60 Running first-order model finding
% 0.21/0.60 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.FL750ZOok3/E---3.1_17138.p
% 557.94/71.99 # Version: 3.1pre001
% 557.94/71.99 # Preprocessing class: FMLMSMLLSSSNFFN.
% 557.94/71.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 557.94/71.99 # Starting new_bool_3 with 900s (3) cores
% 557.94/71.99 # Starting new_bool_1 with 900s (3) cores
% 557.94/71.99 # Starting sh5l with 300s (1) cores
% 557.94/71.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 300s (1) cores
% 557.94/71.99 # G-E--_208_C18_F1_SE_CS_SP_PS_S2p with pid 17224 completed with status 0
% 557.94/71.99 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2p
% 557.94/71.99 # Preprocessing class: FMLMSMLLSSSNFFN.
% 557.94/71.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 557.94/71.99 # Starting new_bool_3 with 900s (3) cores
% 557.94/71.99 # Starting new_bool_1 with 900s (3) cores
% 557.94/71.99 # Starting sh5l with 300s (1) cores
% 557.94/71.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 300s (1) cores
% 557.94/71.99 # No SInE strategy applied
% 557.94/71.99 # Search class: FGHSM-SMLM32-DFFFFFNN
% 557.94/71.99 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 557.94/71.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 557.94/71.99 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 17232 completed with status 7
% 557.94/71.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 31s (1) cores
% 557.94/71.99 # G-E--_208_C18_F1_SE_CS_SP_PS_S2p with pid 17233 completed with status 7
% 557.94/71.99 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 23s (1) cores
% 557.94/71.99 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 17936 completed with status 0
% 557.94/71.99 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 557.94/71.99 # Preprocessing class: FMLMSMLLSSSNFFN.
% 557.94/71.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 557.94/71.99 # Starting new_bool_3 with 900s (3) cores
% 557.94/71.99 # Starting new_bool_1 with 900s (3) cores
% 557.94/71.99 # Starting sh5l with 300s (1) cores
% 557.94/71.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 300s (1) cores
% 557.94/71.99 # No SInE strategy applied
% 557.94/71.99 # Search class: FGHSM-SMLM32-DFFFFFNN
% 557.94/71.99 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 557.94/71.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 23s (1) cores
% 557.94/71.99 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 17232 completed with status 7
% 557.94/71.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2p with 31s (1) cores
% 557.94/71.99 # G-E--_208_C18_F1_SE_CS_SP_PS_S2p with pid 17233 completed with status 7
% 557.94/71.99 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 23s (1) cores
% 557.94/71.99 # Preprocessing time : 0.024 s
% 557.94/71.99
% 557.94/71.99 # Proof found!
% 557.94/71.99 # SZS status Theorem
% 557.94/71.99 # SZS output start CNFRefutation
% See solution above
% 557.94/71.99 # Parsed axioms : 1012
% 557.94/71.99 # Removed by relevancy pruning/SinE : 0
% 557.94/71.99 # Initial clauses : 1725
% 557.94/71.99 # Removed in clause preprocessing : 28
% 557.94/71.99 # Initial clauses in saturation : 1697
% 557.94/71.99 # Processed clauses : 36627
% 557.94/71.99 # ...of these trivial : 628
% 557.94/71.99 # ...subsumed : 26620
% 557.94/71.99 # ...remaining for further processing : 9379
% 557.94/71.99 # Other redundant clauses eliminated : 3473
% 557.94/71.99 # Clauses deleted for lack of memory : 0
% 557.94/71.99 # Backward-subsumed : 434
% 557.94/71.99 # Backward-rewritten : 802
% 557.94/71.99 # Generated clauses : 301296
% 557.94/71.99 # ...of the previous two non-redundant : 267184
% 557.94/71.99 # ...aggressively subsumed : 0
% 557.94/71.99 # Contextual simplify-reflections : 373
% 557.94/71.99 # Paramodulations : 297703
% 557.94/71.99 # Factorizations : 112
% 557.94/71.99 # NegExts : 0
% 557.94/71.99 # Equation resolutions : 3497
% 557.94/71.99 # Total rewrite steps : 99354
% 557.94/71.99 # Propositional unsat checks : 1
% 557.94/71.99 # Propositional check models : 0
% 557.94/71.99 # Propositional check unsatisfiable : 0
% 557.94/71.99 # Propositional clauses : 0
% 557.94/71.99 # Propositional clauses after purity: 0
% 557.94/71.99 # Propositional unsat core size : 0
% 557.94/71.99 # Propositional preprocessing time : 0.000
% 557.94/71.99 # Propositional encoding time : 0.159
% 557.94/71.99 # Propositional solver time : 0.069
% 557.94/71.99 # Success case prop preproc time : 0.000
% 557.94/71.99 # Success case prop encoding time : 0.000
% 557.94/71.99 # Success case prop solver time : 0.000
% 557.94/71.99 # Current number of processed clauses : 8023
% 557.94/71.99 # Positive orientable unit clauses : 612
% 557.94/71.99 # Positive unorientable unit clauses: 11
% 557.94/71.99 # Negative unit clauses : 564
% 557.94/71.99 # Non-unit-clauses : 6836
% 557.94/71.99 # Current number of unprocessed clauses: 222307
% 557.94/71.99 # ...number of literals in the above : 821887
% 557.94/71.99 # Current number of archived formulas : 0
% 557.94/71.99 # Current number of archived clauses : 1247
% 557.94/71.99 # Clause-clause subsumption calls (NU) : 6583532
% 557.94/71.99 # Rec. Clause-clause subsumption calls : 3914843
% 557.94/71.99 # Non-unit clause-clause subsumptions : 13681
% 557.94/71.99 # Unit Clause-clause subsumption calls : 1093377
% 557.94/71.99 # Rewrite failures with RHS unbound : 20
% 557.94/71.99 # BW rewrite match attempts : 2023
% 557.94/71.99 # BW rewrite match successes : 189
% 557.94/71.99 # Condensation attempts : 0
% 557.94/71.99 # Condensation successes : 0
% 557.94/71.99 # Termbank termtop insertions : 6796374
% 557.94/71.99
% 557.94/71.99 # -------------------------------------------------
% 557.94/71.99 # User time : 67.995 s
% 557.94/71.99 # System time : 1.574 s
% 557.94/71.99 # Total time : 69.569 s
% 557.94/71.99 # Maximum resident set size: 9164 pages
% 557.94/71.99
% 557.94/71.99 # -------------------------------------------------
% 557.94/71.99 # User time : 68.020 s
% 557.94/71.99 # System time : 1.577 s
% 557.94/71.99 # Total time : 69.597 s
% 557.94/71.99 # Maximum resident set size: 3332 pages
% 557.94/71.99 % E---3.1 exiting
%------------------------------------------------------------------------------