TSTP Solution File: SCT170+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SCT170+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 21:23:37 EDT 2022
% Result : Theorem 0.99s 90.19s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 73
% Syntax : Number of formulae : 426 ( 178 unt; 0 def)
% Number of atoms : 1053 ( 586 equ)
% Maximal formula atoms : 190 ( 2 avg)
% Number of connectives : 1048 ( 421 ~; 502 |; 61 &)
% ( 15 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 80 ( 80 usr; 32 con; 0-3 aty)
% Number of variables : 545 ( 93 sgn 236 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_364_append__butlast__last__id) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_262_insert__Nil) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_307_butlast_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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_37_list_Osimps_I2_J) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_467_hd_Osimps) ).
fof(fact_375_append__Nil,axiom,
! [X99] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X99) = X99,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_375_append__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/sandbox2/solver/bin/../tmp/theBenchmark.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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_4_dist) ).
fof(fact_373_append__Cons,axiom,
! [X91,X92,X93] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X91),X92)),X93) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X91),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X92),X93)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_373_append__Cons) ).
fof(gsy_c_List_Olast_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt,axiom,
! [X1] : is_Arr723427730le_alt(last_A1066338328le_alt(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_List_Olast_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) ).
fof(fact_464_rotate1__hd__tl,axiom,
! [X135] :
( X135 != nil_Ar1135217151le_alt
=> rotate184372300le_alt(X135) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(X135)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,hd_Arr1814706386le_alt(X135)),nil_Ar1135217151le_alt)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_464_rotate1__hd__tl) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_470_hd__append) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_605_List_Oinsert__def) ).
fof(fact_393_butlast__snoc,axiom,
! [X115,X116] : butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X115),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X116),nil_Ar1135217151le_alt))) = X115,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_393_butlast__snoc) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_452_tl_Osimps_I2_J) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_294_last__ConsR) ).
fof(fact_505_dropWhile__neq__rev,axiom,
! [X5,X45] :
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X45))
=> ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X5),set_Ar426477344le_alt(X45)))
=> dropWh1165804960le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X5)),rev_Ar955429983le_alt(X45)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),rev_Ar955429983le_alt(takeWh1545314552le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X5)),X45))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_505_dropWhile__neq__rev) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_514_rev__foldl__cons) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_481_dropWhile__eq__drop) ).
fof(fact_488_Nil__is__rev__conv,axiom,
! [X45] :
( nil_Ar1135217151le_alt = rev_Ar955429983le_alt(X45)
<=> X45 = nil_Ar1135217151le_alt ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_488_Nil__is__rev__conv) ).
fof(fact_406_distinct1__rotate,axiom,
! [X45] :
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(X45)))
<=> hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X45)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_406_distinct1__rotate) ).
fof(fact_405_rotate1__is__Nil__conv,axiom,
! [X45] :
( rotate184372300le_alt(X45) = nil_Ar1135217151le_alt
<=> X45 = nil_Ar1135217151le_alt ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_405_rotate1__is__Nil__conv) ).
fof(fact_388_butlast__append,axiom,
! [X105,X106] :
( ( X106 = nil_Ar1135217151le_alt
=> butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X105),X106)) = butlas123970891le_alt(X105) )
& ( X106 != nil_Ar1135217151le_alt
=> butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X105),X106)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X105),butlas123970891le_alt(X106)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_388_butlast__append) ).
fof(fact_394_last__snoc,axiom,
! [X117,X118] :
( is_Arr723427730le_alt(X118)
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X117),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X118),nil_Ar1135217151le_alt))) = X118 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_394_last__snoc) ).
fof(fact_338_takeWhile_Osimps_I1_J,axiom,
! [X11] : takeWh1545314552le_alt(X11,nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_338_takeWhile_Osimps_I1_J) ).
fof(fact_484_drop__Nil,axiom,
! [X153] : hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,X153),nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_484_drop__Nil) ).
fof(fact_36_distinct_Osimps_I1_J,axiom,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,nil_Ar1135217151le_alt)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_36_distinct_Osimps_I1_J) ).
fof(fact_389_last__append,axiom,
! [X107,X108] :
( ( X108 = nil_Ar1135217151le_alt
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X107),X108)) = last_A1066338328le_alt(X107) )
& ( X108 != nil_Ar1135217151le_alt
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X107),X108)) = last_A1066338328le_alt(X108) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_389_last__append) ).
fof(fact_305_butlast_Osimps_I1_J,axiom,
butlas123970891le_alt(nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_305_butlast_Osimps_I1_J) ).
fof(fact_274_Collect__def,axiom,
! [X11] :
( is_fun1420103068l_bool(X11)
=> collec612883262t_bool(X11) = X11 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_274_Collect__def) ).
fof(gsy_v_c____,hypothesis,
is_Arr723427730le_alt(c),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_v_c____) ).
fof(fact_293_last__ConsL,axiom,
! [X70,X71] :
( is_Arr723427730le_alt(X70)
=> ( X71 = nil_Ar1135217151le_alt
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X70),X71)) = X70 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_293_last__ConsL) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_80_neq__Nil__conv) ).
fof(fact_353_UNIV__eq__I,axiom,
! [X41] :
( is_fun1420103068l_bool(X41)
=> ( ! [X26] :
( is_fun20916972t_bool(X26)
=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X26),X41)) )
=> top_to846262053l_bool = X41 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_353_UNIV__eq__I) ).
fof(fact_270_mem__def,axiom,
! [X5,X41] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),X41))
<=> hBOOL(hAPP_f1733357041l_bool(X41,X5)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_270_mem__def) ).
fof(fact_346_UNIV__def,axiom,
top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_346_UNIV__def) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__) ).
fof(fact_379_self__append__conv2,axiom,
! [X79,X45] :
( X79 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X45),X79)
<=> X45 = nil_Ar1135217151le_alt ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_379_self__append__conv2) ).
fof(fact_401_rev__cases,axiom,
! [X120] :
( X120 != nil_Ar1135217151le_alt
=> ~ ! [X47,X46] :
( is_Arr723427730le_alt(X46)
=> X120 != hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X47),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X46),nil_Ar1135217151le_alt)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_401_rev__cases) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_,axiom,
! [X181,X182] :
( is_bool(X181)
=> hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X181),X182) = X181 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_) ).
fof(gsy_c_fTrue,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_fTrue) ).
fof(fact_365_snoc__eq__iff__butlast,axiom,
! [X45,X5,X79] :
( is_Arr723427730le_alt(X5)
=> ( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X45),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X5),nil_Ar1135217151le_alt)) = X79
<=> ( X79 != nil_Ar1135217151le_alt
& butlas123970891le_alt(X79) = X45
& last_A1066338328le_alt(X79) = X5 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_365_snoc__eq__iff__butlast) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_264_mem__def) ).
fof(fact_457_tl__append2,axiom,
! [X133,X134] :
( X134 != nil_Ar1135217151le_alt
=> tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X134),X133)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(X134)),X133) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_457_tl__append2) ).
fof(gsy_v_b____,hypothesis,
is_Arr723427730le_alt(b),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_v_b____) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_hAPP_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_282_null__rec_I1_J) ).
fof(help_fTrue_1_1_T,axiom,
! [X181] :
( is_bool(X181)
=> ( X181 = fTrue
| X181 = fFalse ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_fTrue_1_1_T) ).
fof(fact_378_self__append__conv,axiom,
! [X45,X79] :
( X45 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X45),X79)
<=> X79 = nil_Ar1135217151le_alt ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_378_self__append__conv) ).
fof(gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob,axiom,
! [X1,X2] :
( ( is_fun1651000642t_bool(X1)
& is_Arr723427730le_alt(X2) )
=> is_bool(hAPP_A1120018583t_bool(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob) ).
fof(help_fTrue_1_1_U,axiom,
hBOOL(fTrue),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_fTrue_1_1_U) ).
fof(gsy_c_List_Oset_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt,axiom,
! [X1] : is_fun1651000642t_bool(set_Ar426477344le_alt(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_List_Oset_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__,axiom,
! [X1,X2] :
( is_fun1651000642t_bool(X2)
=> is_bool(hAPP_f87553445l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_532_in__set__butlastD) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_589_hd__in__set) ).
fof(fact_377_append__Nil2,axiom,
! [X100] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X100),nil_Ar1135217151le_alt) = X100,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_377_append__Nil2) ).
fof(fact_331_top__apply,axiom,
! [X5] :
( hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X5))
<=> hBOOL(top_top_bool) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_331_top__apply) ).
fof(fact_296_top1I,axiom,
! [X5] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_296_top1I) ).
fof(gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool,axiom,
is_bool(top_top_bool),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).
fof(gsy_c_List_Ohd_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt,axiom,
! [X1] : is_Arr723427730le_alt(hd_Arr1814706386le_alt(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_List_Ohd_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_548_in__set__insert) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.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/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(gsy_v_a____,hypothesis,
is_Arr723427730le_alt(a),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_v_a____) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_034) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_572_last__in__set) ).
fof(fact_279_null__rec_I2_J,axiom,
hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,nil_Ar1135217151le_alt)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_279_null__rec_I2_J) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_316_UNIV__I) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_41_list_Oinject) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.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/sandbox2/solver/bin/../tmp/theBenchmark.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/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf) ).
fof(c_0_73,plain,
! [X79] :
( X79 = nil_Ar1135217151le_alt
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,butlas123970891le_alt(X79)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,last_A1066338328le_alt(X79)),nil_Ar1135217151le_alt)) = X79 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_364_append__butlast__last__id])]) ).
fof(c_0_74,plain,
! [X62] : insert1969589781le_alt(X62,nil_Ar1135217151le_alt) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X62),nil_Ar1135217151le_alt),
inference(variable_rename,[status(thm)],[fact_262_insert__Nil]) ).
fof(c_0_75,plain,
! [X76,X77,X76,X77] :
( ( X77 != nil_Ar1135217151le_alt
| butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X76),X77)) = nil_Ar1135217151le_alt )
& ( X77 = nil_Ar1135217151le_alt
| butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X76),X77)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X76),butlas123970891le_alt(X77)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307_butlast_Osimps_I2_J])])])]) ).
fof(c_0_76,plain,
! [X30,X31] : nil_Ar1135217151le_alt != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X30),X31),
inference(variable_rename,[status(thm)],[fact_37_list_Osimps_I2_J]) ).
fof(c_0_77,plain,
! [X140,X141] :
( ~ is_Arr723427730le_alt(X140)
| hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X140),X141)) = X140 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_467_hd_Osimps])])])]) ).
cnf(c_0_78,plain,
( 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
| X1 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,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_74]) ).
cnf(c_0_80,plain,
( butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = nil_Ar1135217151le_alt
| X2 != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_81,plain,
! [X100] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X100) = X100,
inference(variable_rename,[status(thm)],[fact_375_append__Nil]) ).
cnf(c_0_82,plain,
nil_Ar1135217151le_alt != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_83,plain,
! [X46,X47,X46,X47] :
( ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X46),set_Ar426477344le_alt(X47)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X46),X47))) )
& ( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X47))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X46),X47))) )
& ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X46),set_Ar426477344le_alt(X47)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X47))
| hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X46),X47))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_556_distinct_Osimps_I2_J])])])])])]) ).
cnf(c_0_84,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]) ).
fof(c_0_85,plain,
! [X94,X95,X96] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X94),X95)),X96) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X94),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X95),X96)),
inference(variable_rename,[status(thm)],[fact_373_append__Cons]) ).
cnf(c_0_86,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_77]) ).
cnf(c_0_87,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_78,c_0_79]) ).
cnf(c_0_88,plain,
butlas123970891le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_89,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_90,plain,
insert1969589781le_alt(X1,nil_Ar1135217151le_alt) != nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_82,c_0_79]) ).
fof(c_0_91,plain,
! [X2] : is_Arr723427730le_alt(last_A1066338328le_alt(X2)),
inference(variable_rename,[status(thm)],[gsy_c_List_Olast_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt]) ).
cnf(c_0_92,plain,
( hBOOL(hAPP_l300482276t_bool(distin85347314le_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_83]) ).
cnf(c_0_93,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_84,c_0_79]) ).
fof(c_0_94,plain,
! [X136] :
( X136 = nil_Ar1135217151le_alt
| rotate184372300le_alt(X136) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(X136)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,hd_Arr1814706386le_alt(X136)),nil_Ar1135217151le_alt)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_464_rotate1__hd__tl])]) ).
fof(c_0_95,plain,
! [X142,X143,X142,X143] :
( ( X143 != nil_Ar1135217151le_alt
| hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X143),X142)) = hd_Arr1814706386le_alt(X142) )
& ( X143 = nil_Ar1135217151le_alt
| hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X143),X142)) = hd_Arr1814706386le_alt(X143) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_470_hd__append])])])]) ).
cnf(c_0_96,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)),X3) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_97,plain,
( hd_Arr1814706386le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = X1
| ~ is_Arr723427730le_alt(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_79]) ).
cnf(c_0_98,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_87,c_0_88]),c_0_89]),c_0_90]) ).
cnf(c_0_99,plain,
is_Arr723427730le_alt(last_A1066338328le_alt(X1)),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,plain,
( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_101,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
fof(c_0_102,plain,
! [X46,X47,X46,X47] :
( ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X46),set_Ar426477344le_alt(X47)))
| insert1969589781le_alt(X46,X47) = X47 )
& ( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X46),set_Ar426477344le_alt(X47)))
| insert1969589781le_alt(X46,X47) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X46),X47) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_605_List_Oinsert__def])])])])]) ).
fof(c_0_103,plain,
! [X117,X118] : butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X117),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X118),nil_Ar1135217151le_alt))) = X117,
inference(variable_rename,[status(thm)],[fact_393_butlast__snoc]) ).
cnf(c_0_104,plain,
( rotate184372300le_alt(X1) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(X1)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,hd_Arr1814706386le_alt(X1)),nil_Ar1135217151le_alt))
| X1 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_105,plain,
! [X132,X133] : tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X132),X133)) = X133,
inference(variable_rename,[status(thm)],[fact_452_tl_Osimps_I2_J]) ).
cnf(c_0_106,plain,
( hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)) = hd_Arr1814706386le_alt(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_107,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),X2) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_79]),c_0_89]) ).
cnf(c_0_108,plain,
hd_Arr1814706386le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = last_A1066338328le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
fof(c_0_109,plain,
! [X74,X75] :
( X75 = nil_Ar1135217151le_alt
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X74),X75)) = last_A1066338328le_alt(X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_294_last__ConsR])]) ).
cnf(c_0_110,plain,
~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,b),set_Ar426477344le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_111,plain,
( insert1969589781le_alt(X1,X2) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
fof(c_0_112,plain,
! [X46,X47] :
( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X47))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X46),set_Ar426477344le_alt(X47)))
| dropWh1165804960le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X46)),rev_Ar955429983le_alt(X47)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X46),rev_Ar955429983le_alt(takeWh1545314552le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X46)),X47))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_505_dropWhile__neq__rev])]) ).
fof(c_0_113,plain,
! [X46] : rev_Ar955429983le_alt(X46) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X46),
inference(variable_rename,[status(thm)],[fact_514_rev__foldl__cons]) ).
fof(c_0_114,plain,
! [X46,X47] : dropWh1165804960le_alt(X46,X47) = hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(X46,X47))),X47),
inference(variable_rename,[status(thm)],[fact_481_dropWhile__eq__drop]) ).
fof(c_0_115,plain,
! [X46,X46] :
( ( nil_Ar1135217151le_alt != rev_Ar955429983le_alt(X46)
| X46 = nil_Ar1135217151le_alt )
& ( X46 != nil_Ar1135217151le_alt
| nil_Ar1135217151le_alt = rev_Ar955429983le_alt(X46) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_488_Nil__is__rev__conv])])])]) ).
fof(c_0_116,plain,
! [X46,X46] :
( ( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(X46)))
| hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X46)) )
& ( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X46))
| hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(X46))) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_406_distinct1__rotate])])])]) ).
fof(c_0_117,plain,
! [X46,X46] :
( ( rotate184372300le_alt(X46) != nil_Ar1135217151le_alt
| X46 = nil_Ar1135217151le_alt )
& ( X46 != nil_Ar1135217151le_alt
| rotate184372300le_alt(X46) = nil_Ar1135217151le_alt ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_405_rotate1__is__Nil__conv])])])]) ).
fof(c_0_118,plain,
! [X107,X108,X107,X108] :
( ( X108 != nil_Ar1135217151le_alt
| butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X107),X108)) = butlas123970891le_alt(X107) )
& ( X108 = nil_Ar1135217151le_alt
| butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X107),X108)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X107),butlas123970891le_alt(X108)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_388_butlast__append])])])]) ).
cnf(c_0_119,plain,
butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),nil_Ar1135217151le_alt))) = X1,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_120,plain,
( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(X1)),insert1969589781le_alt(hd_Arr1814706386le_alt(X1),nil_Ar1135217151le_alt)) = rotate184372300le_alt(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(rw,[status(thm)],[c_0_104,c_0_79]) ).
cnf(c_0_121,plain,
tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_122,plain,
hd_Arr1814706386le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = last_A1066338328le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_90]) ).
fof(c_0_123,plain,
! [X119,X120] :
( ~ is_Arr723427730le_alt(X120)
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X119),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X120),nil_Ar1135217151le_alt))) = X120 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_394_last__snoc])]) ).
cnf(c_0_124,plain,
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = last_A1066338328le_alt(X2)
| X2 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_125,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_110,c_0_111]) ).
cnf(c_0_126,plain,
( butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),butlas123970891le_alt(X2))
| X2 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_127,plain,
( dropWh1165804960le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X1)),rev_Ar955429983le_alt(X2)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),rev_Ar955429983le_alt(takeWh1545314552le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X1)),X2)))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_128,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_113]) ).
cnf(c_0_129,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_114]) ).
cnf(c_0_130,plain,
( nil_Ar1135217151le_alt = rev_Ar955429983le_alt(X1)
| X1 != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
fof(c_0_131,plain,
! [X12] : takeWh1545314552le_alt(X12,nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt,
inference(variable_rename,[status(thm)],[fact_338_takeWhile_Osimps_I1_J]) ).
fof(c_0_132,plain,
! [X154] : hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,X154),nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt,
inference(variable_rename,[status(thm)],[fact_484_drop__Nil]) ).
cnf(c_0_133,plain,
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_134,plain,
( rotate184372300le_alt(X1) = nil_Ar1135217151le_alt
| X1 != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_135,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,nil_Ar1135217151le_alt)),
inference(split_conjunct,[status(thm)],[fact_36_distinct_Osimps_I1_J]) ).
fof(c_0_136,plain,
! [X109,X110,X109,X110] :
( ( X110 != nil_Ar1135217151le_alt
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X109),X110)) = last_A1066338328le_alt(X109) )
& ( X110 = nil_Ar1135217151le_alt
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X109),X110)) = last_A1066338328le_alt(X110) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_389_last__append])])])]) ).
cnf(c_0_137,plain,
( butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)) = butlas123970891le_alt(X1)
| X2 != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_138,plain,
butlas123970891le_alt(nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt,
inference(split_conjunct,[status(thm)],[fact_305_butlast_Osimps_I1_J]) ).
cnf(c_0_139,plain,
butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),insert1969589781le_alt(X2,nil_Ar1135217151le_alt))) = X1,
inference(rw,[status(thm)],[c_0_119,c_0_79]) ).
cnf(c_0_140,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),insert1969589781le_alt(X2,nil_Ar1135217151le_alt)) = rotate184372300le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_82]),c_0_122]),c_0_98]) ).
cnf(c_0_141,plain,
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),nil_Ar1135217151le_alt))) = X2
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_142,plain,
last_A1066338328le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = last_A1066338328le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_90]) ).
cnf(c_0_143,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_126,c_0_125]),c_0_88]),c_0_79]),c_0_90]) ).
cnf(c_0_144,plain,
insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)) != nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_82,c_0_125]) ).
cnf(c_0_145,plain,
( hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,size_s2106320494le_alt(takeWh1545314552le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X1)),foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X2)))),foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X2)) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,takeWh1545314552le_alt(hAPP_f246757773t_bool(hAPP_f1211148133t_bool(cOMBB_966447723le_alt,fNot),hAPP_A1781286015t_bool(hAPP_f271508829t_bool(cOMBC_2032358938t_bool,fequal21574094le_alt),X1)),X2)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X2))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),set_Ar426477344le_alt(X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128]),c_0_128]),c_0_129]) ).
cnf(c_0_146,plain,
( nil_Ar1135217151le_alt = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X1)
| X1 != nil_Ar1135217151le_alt ),
inference(rw,[status(thm)],[c_0_130,c_0_128]) ).
cnf(c_0_147,plain,
takeWh1545314552le_alt(X1,nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt,
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_148,plain,
hAPP_l372964747le_alt(hAPP_n344665784le_alt(drop_A1195732799le_alt,X1),nil_Ar1135217151le_alt) = nil_Ar1135217151le_alt,
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_149,plain,
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1))
| X1 != nil_Ar1135217151le_alt ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).
cnf(c_0_150,plain,
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)) = last_A1066338328le_alt(X2)
| X2 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
fof(c_0_151,plain,
! [X12] :
( ~ is_fun1420103068l_bool(X12)
| collec612883262t_bool(X12) = X12 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_274_Collect__def])]) ).
cnf(c_0_152,plain,
( butlas123970891le_alt(X1) = nil_Ar1135217151le_alt
| X1 != nil_Ar1135217151le_alt ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_89]),c_0_138]) ).
cnf(c_0_153,plain,
butlas123970891le_alt(rotate184372300le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2))) = X2,
inference(rw,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_154,plain,
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),insert1969589781le_alt(X2,nil_Ar1135217151le_alt))) = X2
| ~ is_Arr723427730le_alt(X2) ),
inference(rw,[status(thm)],[c_0_141,c_0_79]) ).
cnf(c_0_155,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,insert1969589781le_alt(b,nil_Ar1135217151le_alt)),insert1969589781le_alt(c,nil_Ar1135217151le_alt)) = insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_142]),c_0_143]),c_0_98]),c_0_144]) ).
cnf(c_0_156,hypothesis,
is_Arr723427730le_alt(c),
inference(split_conjunct,[status(thm)],[gsy_v_c____]) ).
fof(c_0_157,plain,
! [X72,X73] :
( ~ is_Arr723427730le_alt(X72)
| X73 != nil_Ar1135217151le_alt
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X72),X73)) = X72 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_293_last__ConsL])])])]) ).
cnf(c_0_158,plain,
( X1 != nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2),set_Ar426477344le_alt(X1))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_148]),c_0_82]),c_0_149]) ).
cnf(c_0_159,plain,
( last_A1066338328le_alt(insert1969589781le_alt(hd_Arr1814706386le_alt(X1),nil_Ar1135217151le_alt)) = last_A1066338328le_alt(rotate184372300le_alt(X1))
| X1 = nil_Ar1135217151le_alt ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_120]),c_0_90]) ).
fof(c_0_160,plain,
! [X48,X48,X51,X52] :
( ( is_Arr723427730le_alt(esk30_1(X48))
| X48 = nil_Ar1135217151le_alt )
& ( X48 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,esk30_1(X48)),esk31_1(X48))
| X48 = nil_Ar1135217151le_alt )
& ( ~ is_Arr723427730le_alt(X51)
| X48 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X51),X52)
| X48 != nil_Ar1135217151le_alt ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_80_neq__Nil__conv])])])])])])]) ).
fof(c_0_161,plain,
! [X42] :
( ( is_fun20916972t_bool(esk170_1(X42))
| top_to846262053l_bool = X42
| ~ is_fun1420103068l_bool(X42) )
& ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk170_1(X42)),X42))
| top_to846262053l_bool = X42
| ~ is_fun1420103068l_bool(X42) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_353_UNIV__eq__I])])])])])]) ).
fof(c_0_162,plain,
! [X42,X43,X42,X43] :
( ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X42),X43))
| hBOOL(hAPP_f1733357041l_bool(X43,X42)) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(X43,X42))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X42),X43)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_270_mem__def])])])]) ).
cnf(c_0_163,plain,
( collec612883262t_bool(X1) = X1
| ~ is_fun1420103068l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_164,plain,
top_to846262053l_bool = collec612883262t_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)),
inference(split_conjunct,[status(thm)],[fact_346_UNIV__def]) ).
fof(c_0_165,plain,
! [X3,X4] :
( ~ is_bool(X4)
| is_fun1420103068l_bool(hAPP_b805997823l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__])]) ).
fof(c_0_166,plain,
! [X80,X81,X80,X81] :
( ( X80 != hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X81),X80)
| X81 = nil_Ar1135217151le_alt )
& ( X81 != nil_Ar1135217151le_alt
| X80 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X81),X80) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_379_self__append__conv2])])])]) ).
fof(c_0_167,plain,
! [X121] :
( ( is_Arr723427730le_alt(esk189_1(X121))
| X121 = nil_Ar1135217151le_alt )
& ( X121 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,esk188_1(X121)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,esk189_1(X121)),nil_Ar1135217151le_alt))
| X121 = nil_Ar1135217151le_alt ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_401_rev__cases])])])])])]) ).
cnf(c_0_168,plain,
( hd_Arr1814706386le_alt(butlas123970891le_alt(X1)) = hd_Arr1814706386le_alt(X1)
| butlas123970891le_alt(X1) = nil_Ar1135217151le_alt ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_87]),c_0_152]) ).
cnf(c_0_169,plain,
butlas123970891le_alt(rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))) = insert1969589781le_alt(c,nil_Ar1135217151le_alt),
inference(spm,[status(thm)],[c_0_153,c_0_125]) ).
cnf(c_0_170,plain,
last_A1066338328le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)) = c,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_142]),c_0_156])]) ).
cnf(c_0_171,plain,
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = X1
| X2 != nil_Ar1135217151le_alt
| ~ is_Arr723427730le_alt(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_172,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2) = insert1969589781le_alt(X1,X2)
| X2 != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_158,c_0_111]) ).
cnf(c_0_173,plain,
last_A1066338328le_alt(rotate184372300le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2))) = last_A1066338328le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_122]),c_0_98]),c_0_82]) ).
cnf(c_0_174,plain,
( X1 = nil_Ar1135217151le_alt
| X1 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,esk30_1(X1)),esk31_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_175,plain,
( top_to846262053l_bool = X1
| ~ is_fun1420103068l_bool(X1)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,esk170_1(X1)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_176,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X1),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
fof(c_0_177,plain,
! [X183,X184] :
( ~ is_bool(X183)
| hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X183),X184) = X183 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_])])])]) ).
cnf(c_0_178,plain,
( hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue) = top_to846262053l_bool
| ~ is_fun1420103068l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue)) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_179,plain,
( is_fun1420103068l_bool(hAPP_b805997823l_bool(X1,X2))
| ~ is_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_180,plain,
is_bool(fTrue),
inference(split_conjunct,[status(thm)],[gsy_c_fTrue]) ).
cnf(c_0_181,plain,
( X1 = nil_Ar1135217151le_alt
| X2 != hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_182,plain,
( X1 = nil_Ar1135217151le_alt
| X1 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,esk188_1(X1)),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,esk189_1(X1)),nil_Ar1135217151le_alt)) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_183,plain,
( X1 != nil_Ar1135217151le_alt
| X1 != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X3)
| ~ is_Arr723427730le_alt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
fof(c_0_184,plain,
! [X80,X81,X82,X82] :
( ( X82 != nil_Ar1135217151le_alt
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X80),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X81),nil_Ar1135217151le_alt)) != X82
| ~ is_Arr723427730le_alt(X81) )
& ( butlas123970891le_alt(X82) = X80
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X80),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X81),nil_Ar1135217151le_alt)) != X82
| ~ is_Arr723427730le_alt(X81) )
& ( last_A1066338328le_alt(X82) = X81
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X80),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X81),nil_Ar1135217151le_alt)) != X82
| ~ is_Arr723427730le_alt(X81) )
& ( X82 = nil_Ar1135217151le_alt
| butlas123970891le_alt(X82) != X80
| last_A1066338328le_alt(X82) != X81
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X80),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X81),nil_Ar1135217151le_alt)) = X82
| ~ is_Arr723427730le_alt(X81) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_365_snoc__eq__iff__butlast])])])])]) ).
fof(c_0_185,plain,
! [X42,X43,X42,X43] :
( ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X42),X43))
| hBOOL(hAPP_A1120018583t_bool(X43,X42)) )
& ( ~ hBOOL(hAPP_A1120018583t_bool(X43,X42))
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X42),X43)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_264_mem__def])])])]) ).
cnf(c_0_186,plain,
hd_Arr1814706386le_alt(rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))) = c,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_108]),c_0_170]),c_0_90]) ).
cnf(c_0_187,plain,
rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) != nil_Ar1135217151le_alt,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_169]),c_0_90]) ).
cnf(c_0_188,plain,
( last_A1066338328le_alt(insert1969589781le_alt(X1,X2)) = X1
| X2 != nil_Ar1135217151le_alt
| ~ is_Arr723427730le_alt(X1) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_189,plain,
( last_A1066338328le_alt(insert1969589781le_alt(esk30_1(X1),nil_Ar1135217151le_alt)) = last_A1066338328le_alt(rotate184372300le_alt(X1))
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_190,plain,
( X1 = nil_Ar1135217151le_alt
| is_Arr723427730le_alt(esk30_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
fof(c_0_191,plain,
! [X135,X136] :
( X136 = nil_Ar1135217151le_alt
| tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X136),X135)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(X136)),X135) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_457_tl__append2])]) ).
cnf(c_0_192,plain,
( top_to846262053l_bool = X1
| ~ hBOOL(hAPP_f1733357041l_bool(X1,esk170_1(X1)))
| ~ is_fun1420103068l_bool(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_193,plain,
( hAPP_f1733357041l_bool(hAPP_b805997823l_bool(cOMBK_715978704t_bool,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_194,plain,
hAPP_b805997823l_bool(cOMBK_715978704t_bool,fTrue) = top_to846262053l_bool,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180])]) ).
cnf(c_0_195,plain,
hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X2),X3)) != X3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_96]),c_0_82]) ).
cnf(c_0_196,plain,
( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,esk188_1(X1)),insert1969589781le_alt(esk189_1(X1),nil_Ar1135217151le_alt)) = X1
| X1 = nil_Ar1135217151le_alt ),
inference(rw,[status(thm)],[c_0_182,c_0_79]) ).
cnf(c_0_197,plain,
( X1 != insert1969589781le_alt(X2,nil_Ar1135217151le_alt)
| X1 != nil_Ar1135217151le_alt
| ~ is_Arr723427730le_alt(X2) ),
inference(spm,[status(thm)],[c_0_183,c_0_79]) ).
cnf(c_0_198,plain,
( last_A1066338328le_alt(X3) = X1
| ~ is_Arr723427730le_alt(X1)
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X2),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt)) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_199,plain,
( X1 = nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,esk30_1(X1)),set_Ar426477344le_alt(esk31_1(X1))))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(spm,[status(thm)],[c_0_100,c_0_174]) ).
cnf(c_0_200,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X1),X2))
| ~ hBOOL(hAPP_A1120018583t_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_201,plain,
last_A1066338328le_alt(rotate184372300le_alt(rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))) = c,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_186]),c_0_170]),c_0_187]) ).
cnf(c_0_202,plain,
( last_A1066338328le_alt(rotate184372300le_alt(X1)) = esk30_1(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).
cnf(c_0_203,plain,
( tl_Arr314474198le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(X1)),X2)
| X1 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_204,hypothesis,
is_Arr723427730le_alt(b),
inference(split_conjunct,[status(thm)],[gsy_v_b____]) ).
cnf(c_0_205,plain,
( hAPP_b805997823l_bool(cOMBK_715978704t_bool,X1) = top_to846262053l_bool
| ~ hBOOL(X1)
| ~ is_bool(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_179]) ).
cnf(c_0_206,plain,
hAPP_f1733357041l_bool(top_to846262053l_bool,X1) = fTrue,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_180])]) ).
fof(c_0_207,plain,
! [X3,X4] : is_bool(hAPP_l300482276t_bool(X3,X4)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__List__Olist_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oa]) ).
cnf(c_0_208,plain,
( X1 = nil_Ar1135217151le_alt
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X1) != insert1969589781le_alt(esk189_1(X1),nil_Ar1135217151le_alt) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_209,plain,
( X1 != insert1969589781le_alt(X2,nil_Ar1135217151le_alt)
| X1 != nil_Ar1135217151le_alt ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_98]),c_0_99])]) ).
cnf(c_0_210,plain,
( last_A1066338328le_alt(X1) = X2
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X3),insert1969589781le_alt(X2,nil_Ar1135217151le_alt)) != X1
| ~ is_Arr723427730le_alt(X2) ),
inference(rw,[status(thm)],[c_0_198,c_0_79]) ).
cnf(c_0_211,plain,
( X1 = nil_Ar1135217151le_alt
| is_Arr723427730le_alt(esk189_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_212,plain,
( hBOOL(hAPP_A1120018583t_bool(X1,X2))
| ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_213,plain,
( X1 = nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(esk31_1(X1)),esk30_1(X1)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_214,plain,
esk30_1(rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))) = c,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_187]) ).
cnf(c_0_215,plain,
( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(tl_Arr314474198le_alt(X1))),insert1969589781le_alt(hd_Arr1814706386le_alt(X1),nil_Ar1135217151le_alt)) = tl_Arr314474198le_alt(rotate184372300le_alt(X1))
| tl_Arr314474198le_alt(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_203,c_0_120]) ).
cnf(c_0_216,plain,
hd_Arr1814706386le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = b,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_125]),c_0_204])]) ).
cnf(c_0_217,plain,
tl_Arr314474198le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = insert1969589781le_alt(c,nil_Ar1135217151le_alt),
inference(spm,[status(thm)],[c_0_121,c_0_125]) ).
cnf(c_0_218,plain,
tl_Arr314474198le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_121,c_0_79]) ).
cnf(c_0_219,plain,
( fTrue = X1
| ~ hBOOL(X1)
| ~ is_bool(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_205]),c_0_206]) ).
cnf(c_0_220,plain,
is_bool(hAPP_l300482276t_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
fof(c_0_221,plain,
! [X68,X69] : ~ hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X68),X69))),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_282_null__rec_I1_J])]) ).
fof(c_0_222,plain,
! [X182] :
( ~ is_bool(X182)
| X182 = fTrue
| X182 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fTrue_1_1_T])]) ).
cnf(c_0_223,plain,
( esk31_1(X1) = nil_Ar1135217151le_alt
| insert1969589781le_alt(esk189_1(esk31_1(X1)),nil_Ar1135217151le_alt) != X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_174]),c_0_209]) ).
cnf(c_0_224,plain,
( esk189_1(X1) = last_A1066338328le_alt(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_196])]),c_0_211]) ).
cnf(c_0_225,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_212,c_0_111]) ).
fof(c_0_226,plain,
! [X80,X81,X80,X81] :
( ( X80 != hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X80),X81)
| X81 = nil_Ar1135217151le_alt )
& ( X81 != nil_Ar1135217151le_alt
| X80 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X80),X81) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_378_self__append__conv])])])]) ).
cnf(c_0_227,plain,
( ~ is_Arr723427730le_alt(X1)
| hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X2),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt)) != X3
| X3 != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_228,plain,
( ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(esk31_1(rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))),c))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_187]) ).
cnf(c_0_229,plain,
( esk31_1(X1) = tl_Arr314474198le_alt(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_121,c_0_174]) ).
cnf(c_0_230,plain,
tl_Arr314474198le_alt(rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))) = insert1969589781le_alt(b,nil_Ar1135217151le_alt),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]),c_0_218]),c_0_89]),c_0_217]),c_0_90]),c_0_144]) ).
cnf(c_0_231,plain,
( hAPP_l300482276t_bool(X1,X2) = fTrue
| ~ hBOOL(hAPP_l300482276t_bool(X1,X2)) ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_232,plain,
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(X1)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_233,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(rw,[status(thm)],[c_0_101,c_0_125]) ).
fof(c_0_234,plain,
! [X3,X4] :
( ~ is_fun1651000642t_bool(X3)
| ~ is_Arr723427730le_alt(X4)
| is_bool(hAPP_A1120018583t_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_000tc__HOL__Ob])]) ).
cnf(c_0_235,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_221]) ).
cnf(c_0_236,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_237,plain,
( esk31_1(X1) = nil_Ar1135217151le_alt
| insert1969589781le_alt(last_A1066338328le_alt(esk31_1(X1)),nil_Ar1135217151le_alt) != X1 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_238,plain,
( last_A1066338328le_alt(esk31_1(X1)) = last_A1066338328le_alt(X1)
| esk31_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_124,c_0_174]) ).
cnf(c_0_239,plain,
( hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),X2))
| insert1969589781le_alt(X2,X1) != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_82,c_0_225]) ).
cnf(c_0_240,plain,
( X1 = nil_Ar1135217151le_alt
| X2 != hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_241,plain,
( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),insert1969589781le_alt(X2,nil_Ar1135217151le_alt)) != X3
| X3 != nil_Ar1135217151le_alt
| ~ is_Arr723427730le_alt(X2) ),
inference(rw,[status(thm)],[c_0_227,c_0_79]) ).
cnf(c_0_242,plain,
( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))))
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(b,nil_Ar1135217151le_alt)),c)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]),c_0_187]) ).
cnf(c_0_243,plain,
( hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(X1)) = fTrue
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_244,plain,
hBOOL(fTrue),
inference(split_conjunct,[status(thm)],[help_fTrue_1_1_U]) ).
cnf(c_0_245,plain,
hAPP_l300482276t_bool(distin85347314le_alt,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = fTrue,
inference(spm,[status(thm)],[c_0_231,c_0_233]) ).
cnf(c_0_246,plain,
( is_bool(hAPP_A1120018583t_bool(X1,X2))
| ~ is_Arr723427730le_alt(X2)
| ~ is_fun1651000642t_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_234]) ).
fof(c_0_247,plain,
! [X2] : is_fun1651000642t_bool(set_Ar426477344le_alt(X2)),
inference(variable_rename,[status(thm)],[gsy_c_List_Oset_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt]) ).
cnf(c_0_248,plain,
~ hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,insert1969589781le_alt(X1,nil_Ar1135217151le_alt))),
inference(spm,[status(thm)],[c_0_235,c_0_79]) ).
cnf(c_0_249,plain,
( hAPP_l300482276t_bool(X1,X2) = fFalse
| hAPP_l300482276t_bool(X1,X2) = fTrue ),
inference(spm,[status(thm)],[c_0_236,c_0_220]) ).
cnf(c_0_250,plain,
( esk31_1(X1) = nil_Ar1135217151le_alt
| insert1969589781le_alt(last_A1066338328le_alt(X1),nil_Ar1135217151le_alt) != X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_209]) ).
cnf(c_0_251,plain,
( X1 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X2),X1)
| X2 != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_252,plain,
( X1 = nil_Ar1135217151le_alt
| insert1969589781le_alt(esk30_1(X1),esk31_1(X1)) != nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(spm,[status(thm)],[c_0_213,c_0_239]) ).
cnf(c_0_253,plain,
( X1 = nil_Ar1135217151le_alt
| esk188_1(X1) != X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_196]),c_0_90]) ).
cnf(c_0_254,plain,
( esk188_1(X1) = butlas123970891le_alt(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_139,c_0_196]) ).
cnf(c_0_255,plain,
( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),insert1969589781le_alt(X2,nil_Ar1135217151le_alt)) != nil_Ar1135217151le_alt
| ~ is_Arr723427730le_alt(X2) ),
inference(er,[status(thm)],[c_0_241]) ).
fof(c_0_256,plain,
! [X3,X4] :
( ~ is_fun1651000642t_bool(X4)
| is_bool(hAPP_f87553445l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt_Mtc__])]) ).
fof(c_0_257,plain,
! [X46,X47] :
( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X46),set_Ar426477344le_alt(butlas123970891le_alt(X47))))
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X46),set_Ar426477344le_alt(X47))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_532_in__set__butlastD])]) ).
fof(c_0_258,plain,
! [X46] :
( X46 = nil_Ar1135217151le_alt
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(X46)),set_Ar426477344le_alt(X46))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_589_hd__in__set])]) ).
cnf(c_0_259,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,esk30_1(X1)),tl_Arr314474198le_alt(X1)) = X1
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_174,c_0_229]) ).
cnf(c_0_260,plain,
~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(b,nil_Ar1135217151le_alt)),c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]),c_0_245]),c_0_244])]) ).
cnf(c_0_261,plain,
( hAPP_A1120018583t_bool(X1,X2) = fFalse
| hAPP_A1120018583t_bool(X1,X2) = fTrue
| ~ is_fun1651000642t_bool(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(spm,[status(thm)],[c_0_236,c_0_246]) ).
cnf(c_0_262,plain,
is_fun1651000642t_bool(set_Ar426477344le_alt(X1)),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_263,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_248,c_0_249]),c_0_244])]) ).
cnf(c_0_264,plain,
esk31_1(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_250,c_0_98]) ).
cnf(c_0_265,plain,
( insert1969589781le_alt(esk189_1(X1),nil_Ar1135217151le_alt) = X1
| X1 = nil_Ar1135217151le_alt
| esk188_1(X1) != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_251,c_0_196]) ).
cnf(c_0_266,plain,
( butlas123970891le_alt(rotate184372300le_alt(X1)) = esk31_1(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_153,c_0_174]) ).
cnf(c_0_267,plain,
( X1 = nil_Ar1135217151le_alt
| insert1969589781le_alt(esk30_1(X1),tl_Arr314474198le_alt(X1)) != nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(spm,[status(thm)],[c_0_252,c_0_229]) ).
cnf(c_0_268,plain,
( esk30_1(X1) = hd_Arr1814706386le_alt(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_174]),c_0_190]) ).
cnf(c_0_269,plain,
( X1 = nil_Ar1135217151le_alt
| butlas123970891le_alt(X1) != X1 ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_270,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),insert1969589781le_alt(X2,nil_Ar1135217151le_alt)) != nil_Ar1135217151le_alt,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_98]),c_0_99])]) ).
cnf(c_0_271,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_100,c_0_93]) ).
cnf(c_0_272,plain,
( is_bool(hAPP_f87553445l_bool(X1,X2))
| ~ is_fun1651000642t_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_256]) ).
cnf(c_0_273,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_257]) ).
cnf(c_0_274,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(X1)),set_Ar426477344le_alt(X1)))
| X1 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_258]) ).
fof(c_0_275,plain,
! [X101] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X101),nil_Ar1135217151le_alt) = X101,
inference(variable_rename,[status(thm)],[fact_377_append__Nil2]) ).
cnf(c_0_276,plain,
hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,c),insert1969589781le_alt(b,nil_Ar1135217151le_alt)) = rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_214]),c_0_230]),c_0_187]) ).
cnf(c_0_277,plain,
hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(b,nil_Ar1135217151le_alt)),c) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_244]),c_0_262]),c_0_156])]) ).
cnf(c_0_278,plain,
~ hBOOL(fFalse),
inference(rw,[status(thm)],[c_0_248,c_0_263]) ).
fof(c_0_279,plain,
! [X6,X6] :
( ( ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X6))
| hBOOL(top_top_bool) )
& ( ~ hBOOL(top_top_bool)
| hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X6)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_331_top__apply])])])]) ).
fof(c_0_280,plain,
! [X6] : hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X6)),
inference(variable_rename,[status(thm)],[fact_296_top1I]) ).
cnf(c_0_281,plain,
is_bool(top_top_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool]) ).
cnf(c_0_282,plain,
( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(esk188_1(X1))),insert1969589781le_alt(esk189_1(X1),nil_Ar1135217151le_alt)) = tl_Arr314474198le_alt(X1)
| esk188_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_203,c_0_196]) ).
cnf(c_0_283,plain,
( esk31_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt
| esk188_1(X1) != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_284,plain,
esk31_1(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = X2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_266]),c_0_82]) ).
cnf(c_0_285,plain,
( X1 = nil_Ar1135217151le_alt
| insert1969589781le_alt(hd_Arr1814706386le_alt(X1),tl_Arr314474198le_alt(X1)) != nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_286,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),insert1969589781le_alt(X2,nil_Ar1135217151le_alt)) != X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_139]),c_0_270]) ).
fof(c_0_287,plain,
! [X2] : is_Arr723427730le_alt(hd_Arr1814706386le_alt(X2)),
inference(variable_rename,[status(thm)],[gsy_c_List_Ohd_000tc__Arrow____Order____Mirabelle____wylsunqmtb__Oalt]) ).
cnf(c_0_288,plain,
~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,a),set_Ar426477344le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))),
inference(rw,[status(thm)],[c_0_271,c_0_125]) ).
cnf(c_0_289,plain,
( hAPP_f87553445l_bool(X1,X2) = fFalse
| hAPP_f87553445l_bool(X1,X2) = fTrue
| ~ is_fun1651000642t_bool(X2) ),
inference(spm,[status(thm)],[c_0_236,c_0_272]) ).
fof(c_0_290,plain,
! [X46,X47] :
( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X46),set_Ar426477344le_alt(X47)))
| insert1969589781le_alt(X46,X47) = X47 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_548_in__set__insert])]) ).
cnf(c_0_291,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_273,c_0_200]) ).
cnf(c_0_292,plain,
( X1 = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),hd_Arr1814706386le_alt(X1))) ),
inference(spm,[status(thm)],[c_0_212,c_0_274]) ).
cnf(c_0_293,plain,
( butlas123970891le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),butlas123970891le_alt(X2))
| X2 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_294,plain,
hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),nil_Ar1135217151le_alt) = X1,
inference(split_conjunct,[status(thm)],[c_0_275]) ).
cnf(c_0_295,plain,
rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_276]),c_0_277]),c_0_278]) ).
cnf(c_0_296,plain,
( hBOOL(top_top_bool)
| ~ hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_297,plain,
hBOOL(hAPP_f1733357041l_bool(top_to846262053l_bool,X1)),
inference(split_conjunct,[status(thm)],[c_0_280]) ).
cnf(c_0_298,plain,
( top_top_bool = fFalse
| top_top_bool = fTrue ),
inference(spm,[status(thm)],[c_0_236,c_0_281]) ).
cnf(c_0_299,plain,
( esk188_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt
| tl_Arr314474198le_alt(esk188_1(X1)) != tl_Arr314474198le_alt(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_282]),c_0_90]) ).
cnf(c_0_300,plain,
( esk31_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt
| butlas123970891le_alt(X1) != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_283,c_0_254]) ).
cnf(c_0_301,plain,
( esk31_1(insert1969589781le_alt(X1,X2)) = X2
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X2),X1)) ),
inference(spm,[status(thm)],[c_0_284,c_0_225]) ).
cnf(c_0_302,plain,
( insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)) != nil_Ar1135217151le_alt
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_186]),c_0_230]),c_0_187]) ).
cnf(c_0_303,plain,
rotate184372300le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) != X2,
inference(rw,[status(thm)],[c_0_286,c_0_140]) ).
cnf(c_0_304,plain,
rotate184372300le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) != nil_Ar1135217151le_alt,
inference(rw,[status(thm)],[c_0_270,c_0_140]) ).
cnf(c_0_305,plain,
( last_A1066338328le_alt(insert1969589781le_alt(hd_Arr1814706386le_alt(X1),nil_Ar1135217151le_alt)) = last_A1066338328le_alt(rotate184372300le_alt(butlas123970891le_alt(X1)))
| butlas123970891le_alt(X1) = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_159,c_0_168]) ).
cnf(c_0_306,plain,
is_Arr723427730le_alt(hd_Arr1814706386le_alt(X1)),
inference(split_conjunct,[status(thm)],[c_0_287]) ).
cnf(c_0_307,plain,
hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,a),set_Ar426477344le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_244]),c_0_262])]) ).
cnf(c_0_308,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_290]) ).
cnf(c_0_309,plain,
( hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),X2))
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(butlas123970891le_alt(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_212,c_0_291]) ).
cnf(c_0_310,plain,
( butlas123970891le_alt(X1) = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(butlas123970891le_alt(X1)),hd_Arr1814706386le_alt(X1))) ),
inference(spm,[status(thm)],[c_0_292,c_0_168]) ).
fof(c_0_311,plain,
! [X11,X12,X13,X14,X15] :
( ( X11 != X12
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X12 != X14
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X15)),X13))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X11 != X14
| X12 = X15
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X15),X12)),X13))
| X12 = X14
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X11 = X14
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),X13))
| X12 = X14
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X12 != X14
| X12 = X14
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X11 != X14
| X11 = X14
| X12 = X14
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),X13))
| X11 = X14
| X12 = X14
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X11 != X14
| X12 != X15
| X12 = X14
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),X13))
| X12 != X15
| X12 = X14
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X11 != X14
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X15),X12)),X13))
| X12 = X14
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),X13))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X15),X12)),X13))
| X12 = X14
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X12 != X14
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X15)),X13))
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X11 != X14
| X11 = X14
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X15)),X13))
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),X13))
| X11 = X14
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X15)),X13))
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X11 != X14
| X12 != X15
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X15)),X13))
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),X13))
| X12 != X15
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X15)),X13))
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( X11 != X14
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X15),X12)),X13))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X15)),X13))
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) )
& ( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),X13))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X15),X12)),X13))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X15)),X13))
| X11 = X12
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X11),X12)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X13),X14),X15)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X13),arrow_912654623le_Lin))
| X14 = X15
| ~ is_Arr723427730le_alt(X11)
| ~ is_Arr723427730le_alt(X12)
| ~ is_Arr723427730le_alt(X14)
| ~ is_Arr723427730le_alt(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_12_in__below])])]) ).
fof(c_0_312,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_313,plain,
( tl_Arr314474198le_alt(esk188_1(X1)) = butlas123970891le_alt(tl_Arr314474198le_alt(X1))
| esk188_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_282]),c_0_88]),c_0_294]),c_0_90]) ).
cnf(c_0_314,plain,
hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,c),insert1969589781le_alt(b,nil_Ar1135217151le_alt)) = insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)),
inference(rw,[status(thm)],[c_0_276,c_0_295]) ).
cnf(c_0_315,plain,
hBOOL(top_top_bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_297])]) ).
cnf(c_0_316,plain,
( top_top_bool = fFalse
| fTrue != fFalse ),
inference(ef,[status(thm)],[c_0_298]) ).
cnf(c_0_317,plain,
( butlas123970891le_alt(X1) = nil_Ar1135217151le_alt
| tl_Arr314474198le_alt(butlas123970891le_alt(X1)) != tl_Arr314474198le_alt(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_254]),c_0_152]) ).
cnf(c_0_318,plain,
( insert1969589781le_alt(esk30_1(X1),nil_Ar1135217151le_alt) = X1
| X1 = nil_Ar1135217151le_alt
| butlas123970891le_alt(X1) != nil_Ar1135217151le_alt ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_300]),c_0_79]) ).
cnf(c_0_319,plain,
( hd_Arr1814706386le_alt(esk31_1(X1)) = hd_Arr1814706386le_alt(rotate184372300le_alt(X1))
| esk31_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_168,c_0_266]) ).
cnf(c_0_320,plain,
esk31_1(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))) = insert1969589781le_alt(b,nil_Ar1135217151le_alt),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_277]),c_0_278]) ).
cnf(c_0_321,plain,
last_A1066338328le_alt(insert1969589781le_alt(b,nil_Ar1135217151le_alt)) = b,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_143]),c_0_108]),c_0_216]),c_0_90]) ).
cnf(c_0_322,plain,
insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)) != nil_Ar1135217151le_alt,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_243]),c_0_244]),c_0_245]),c_0_244])]) ).
cnf(c_0_323,plain,
( hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),X2))
| rotate184372300le_alt(insert1969589781le_alt(X2,X1)) != X1 ),
inference(spm,[status(thm)],[c_0_303,c_0_225]) ).
cnf(c_0_324,plain,
( hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),X2))
| rotate184372300le_alt(insert1969589781le_alt(X2,X1)) != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_304,c_0_225]) ).
cnf(c_0_325,plain,
( last_A1066338328le_alt(rotate184372300le_alt(butlas123970891le_alt(X1))) = hd_Arr1814706386le_alt(X1)
| butlas123970891le_alt(X1) = nil_Ar1135217151le_alt ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_305]),c_0_306])]) ).
cnf(c_0_326,plain,
hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_307]),c_0_278]) ).
cnf(c_0_327,hypothesis,
is_Arr723427730le_alt(a),
inference(split_conjunct,[status(thm)],[gsy_v_a____]) ).
cnf(c_0_328,plain,
( insert1969589781le_alt(X1,X2) = X2
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(butlas123970891le_alt(X2)),X1)) ),
inference(spm,[status(thm)],[c_0_308,c_0_291]) ).
cnf(c_0_329,plain,
( butlas123970891le_alt(X1) = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),hd_Arr1814706386le_alt(X1))) ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_330,plain,
( X2 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X4)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X5),X2),X1)))
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
fof(c_0_331,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_312])])]) ).
fof(c_0_332,plain,
! [X3,X4] :
( ~ is_fun701126715l_bool(X4)
| is_bool(hAPP_f147218624l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____wylsunqmtb__O_034])]) ).
fof(c_0_333,plain,
! [X167] :
( X167 = nil_Ar1135217151le_alt
| hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X167)),set_Ar426477344le_alt(X167))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_572_last__in__set])]) ).
cnf(c_0_334,plain,
hAPP_l300482276t_bool(null_A1369988103le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_249]),c_0_244])]) ).
cnf(c_0_335,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,esk30_1(X1)),butlas123970891le_alt(esk31_1(X1))) = butlas123970891le_alt(X1)
| esk31_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_126,c_0_174]) ).
cnf(c_0_336,plain,
( tl_Arr314474198le_alt(butlas123970891le_alt(X1)) = butlas123970891le_alt(tl_Arr314474198le_alt(X1))
| butlas123970891le_alt(X1) = nil_Ar1135217151le_alt ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_254]),c_0_152]) ).
cnf(c_0_337,plain,
butlas123970891le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)))) = insert1969589781le_alt(b,nil_Ar1135217151le_alt),
inference(spm,[status(thm)],[c_0_153,c_0_314]) ).
cnf(c_0_338,plain,
hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,nil_Ar1135217151le_alt)),
inference(split_conjunct,[status(thm)],[fact_279_null__rec_I2_J]) ).
cnf(c_0_339,plain,
( hAPP_l300482276t_bool(X1,X2) = fFalse
| fTrue != fFalse ),
inference(ef,[status(thm)],[c_0_249]) ).
cnf(c_0_340,plain,
( hBOOL(fFalse)
| fTrue != fFalse ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_341,plain,
( esk31_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt
| tl_Arr314474198le_alt(esk31_1(X1)) != tl_Arr314474198le_alt(rotate184372300le_alt(X1)) ),
inference(spm,[status(thm)],[c_0_317,c_0_266]) ).
cnf(c_0_342,plain,
( hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,tl_Arr314474198le_alt(butlas123970891le_alt(X1))),insert1969589781le_alt(last_A1066338328le_alt(X1),nil_Ar1135217151le_alt)) = tl_Arr314474198le_alt(X1)
| butlas123970891le_alt(X1) = nil_Ar1135217151le_alt ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_87]),c_0_152]) ).
cnf(c_0_343,plain,
( insert1969589781le_alt(hd_Arr1814706386le_alt(X1),nil_Ar1135217151le_alt) = X1
| X1 = nil_Ar1135217151le_alt
| butlas123970891le_alt(X1) != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_318,c_0_268]) ).
cnf(c_0_344,plain,
hd_Arr1814706386le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)))) = b,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_108]),c_0_321]),c_0_90]),c_0_322]) ).
cnf(c_0_345,plain,
rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))) != insert1969589781le_alt(b,nil_Ar1135217151le_alt),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_277]),c_0_278]) ).
cnf(c_0_346,plain,
rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))) != nil_Ar1135217151le_alt,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_277]),c_0_278]) ).
cnf(c_0_347,plain,
( esk30_1(butlas123970891le_alt(X1)) = hd_Arr1814706386le_alt(X1)
| butlas123970891le_alt(X1) = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_325,c_0_202]) ).
cnf(c_0_348,plain,
( butlas123970891le_alt(rotate184372300le_alt(X1)) = tl_Arr314474198le_alt(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_139,c_0_120]) ).
cnf(c_0_349,plain,
hd_Arr1814706386le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))) = a,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_326]),c_0_327])]) ).
cnf(c_0_350,plain,
tl_Arr314474198le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))) = insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(spm,[status(thm)],[c_0_121,c_0_326]) ).
cnf(c_0_351,plain,
insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) != nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_82,c_0_326]) ).
cnf(c_0_352,plain,
( insert1969589781le_alt(hd_Arr1814706386le_alt(butlas123970891le_alt(X1)),X1) = X1
| butlas123970891le_alt(butlas123970891le_alt(X1)) = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_353,plain,
butlas123970891le_alt(rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))) = insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(spm,[status(thm)],[c_0_153,c_0_326]) ).
cnf(c_0_354,plain,
( X2 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X5),X2),X1)))
| X4 = X3
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X4)
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X5),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X5))
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_355,plain,
( X1 = X2
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X1)),X4))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X3),X2)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X4),X2),X1)))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1) ),
inference(er,[status(thm)],[c_0_330]) ).
cnf(c_0_356,negated_conjecture,
( 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))) ),
inference(split_conjunct,[status(thm)],[c_0_331]) ).
fof(c_0_357,plain,
! [X43,X44,X45,X46] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X44),pi_Arr1801471756t_bool(X45,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X46))))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X43),X45))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X44,X43)),X46)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_114_funcset__mem])]) ).
fof(c_0_358,plain,
! [X6] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X6),top_to207207712i_bool)),
inference(variable_rename,[status(thm)],[fact_316_UNIV__I]) ).
cnf(c_0_359,plain,
( is_bool(hAPP_f147218624l_bool(X1,X2))
| ~ is_fun701126715l_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_332]) ).
cnf(c_0_360,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X1)),set_Ar426477344le_alt(X1)))
| X1 = nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_333]) ).
cnf(c_0_361,plain,
( hAPP_l300482276t_bool(null_A1369988103le_alt,butlas123970891le_alt(X1)) = fFalse
| esk31_1(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_362,plain,
butlas123970891le_alt(tl_Arr314474198le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))))) = nil_Ar1135217151le_alt,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_218]),c_0_90]) ).
cnf(c_0_363,plain,
hAPP_l300482276t_bool(null_A1369988103le_alt,nil_Ar1135217151le_alt) = fTrue,
inference(spm,[status(thm)],[c_0_231,c_0_338]) ).
cnf(c_0_364,plain,
fTrue != fFalse,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_339]),c_0_340]) ).
cnf(c_0_365,plain,
tl_Arr314474198le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)))) != nil_Ar1135217151le_alt,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_320]),c_0_218]),c_0_90]),c_0_322]) ).
cnf(c_0_366,plain,
( last_A1066338328le_alt(insert1969589781le_alt(last_A1066338328le_alt(X1),nil_Ar1135217151le_alt)) = last_A1066338328le_alt(tl_Arr314474198le_alt(X1))
| butlas123970891le_alt(X1) = nil_Ar1135217151le_alt ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_342]),c_0_90]) ).
cnf(c_0_367,plain,
last_A1066338328le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)))) = c,
inference(rw,[status(thm)],[c_0_201,c_0_295]) ).
cnf(c_0_368,plain,
butlas123970891le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)))) != nil_Ar1135217151le_alt,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_345]),c_0_346]) ).
fof(c_0_369,plain,
! [X35,X36,X37,X38,X38] :
( ( X35 = X37
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X35),X36) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X37),X38)
| ~ is_Arr723427730le_alt(X35)
| ~ is_Arr723427730le_alt(X37) )
& ( X36 = X38
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X35),X36) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X37),X38)
| ~ is_Arr723427730le_alt(X35)
| ~ is_Arr723427730le_alt(X37) )
& ( X35 != X37
| X36 != X38
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X35),X36) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X37),X38)
| ~ is_Arr723427730le_alt(X35)
| ~ is_Arr723427730le_alt(X37) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_41_list_Oinject])])])])]) ).
cnf(c_0_370,plain,
( X1 = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)
| X2 != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_371,plain,
esk30_1(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2)) = last_A1066338328le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_202]),c_0_82]) ).
cnf(c_0_372,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,hd_Arr1814706386le_alt(X1)),esk31_1(X1)) = X1
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_174,c_0_268]) ).
cnf(c_0_373,plain,
( esk30_1(tl_Arr314474198le_alt(X1)) = hd_Arr1814706386le_alt(rotate184372300le_alt(X1))
| tl_Arr314474198le_alt(X1) = nil_Ar1135217151le_alt
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_374,plain,
tl_Arr314474198le_alt(rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,c),insert1969589781le_alt(a,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_349]),c_0_350]),c_0_217]),c_0_107]),c_0_350]),c_0_144]),c_0_351]) ).
cnf(c_0_375,plain,
rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))) != nil_Ar1135217151le_alt,
inference(spm,[status(thm)],[c_0_304,c_0_326]) ).
cnf(c_0_376,plain,
( rotate184372300le_alt(insert1969589781le_alt(X1,X2)) != nil_Ar1135217151le_alt
| X2 != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_304,c_0_172]) ).
cnf(c_0_377,plain,
insert1969589781le_alt(b,rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))) = rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_216]),c_0_143]),c_0_90]) ).
cnf(c_0_378,plain,
( X1 = nil_Ar1135217151le_alt
| rotate184372300le_alt(X1) != nil_Ar1135217151le_alt ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_379,negated_conjecture,
( ~ 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))) ),
inference(split_conjunct,[status(thm)],[c_0_331]) ).
cnf(c_0_380,plain,
( X1 = X2
| X3 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X4),X1),X3)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X2),X3)),X4))
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X4),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(X2)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3) ),
inference(er,[status(thm)],[c_0_354]) ).
cnf(c_0_381,negated_conjecture,
( b = c
| 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_355,c_0_356]),c_0_327]),c_0_156]),c_0_204])]) ).
cnf(c_0_382,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X2)),X3))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X2),X4))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X4,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_357]) ).
cnf(c_0_383,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_384,plain,
hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)),
inference(split_conjunct,[status(thm)],[c_0_358]) ).
cnf(c_0_385,plain,
( hAPP_f147218624l_bool(X1,X2) = fTrue
| ~ hBOOL(hAPP_f147218624l_bool(X1,X2))
| ~ is_fun701126715l_bool(X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_359]) ).
cnf(c_0_386,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_387,plain,
is_fun701126715l_bool(arrow_583275979e_Prof),
inference(split_conjunct,[status(thm)],[gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OProf]) ).
cnf(c_0_388,plain,
( hAPP_A1120018583t_bool(X1,X2) = fTrue
| ~ hBOOL(hAPP_A1120018583t_bool(X1,X2))
| ~ is_fun1651000642t_bool(X1)
| ~ is_Arr723427730le_alt(X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_246]) ).
cnf(c_0_389,plain,
( X1 = nil_Ar1135217151le_alt
| hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),last_A1066338328le_alt(X1))) ),
inference(spm,[status(thm)],[c_0_212,c_0_360]) ).
cnf(c_0_390,plain,
( esk30_1(X1) = last_A1066338328le_alt(X1)
| X1 = nil_Ar1135217151le_alt
| esk31_1(X1) != nil_Ar1135217151le_alt ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_174]),c_0_190]) ).
cnf(c_0_391,plain,
esk31_1(tl_Arr314474198le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))))) = nil_Ar1135217151le_alt,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_363]),c_0_364]),c_0_365]) ).
cnf(c_0_392,plain,
last_A1066338328le_alt(tl_Arr314474198le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))))) = c,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_170]),c_0_368]) ).
cnf(c_0_393,plain,
( X3 = X4
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X2)
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X2),X3) != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X4) ),
inference(split_conjunct,[status(thm)],[c_0_369]) ).
cnf(c_0_394,plain,
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),X2) != X3
| X3 != nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_195,c_0_370]) ).
cnf(c_0_395,plain,
( last_A1066338328le_alt(insert1969589781le_alt(hd_Arr1814706386le_alt(X1),nil_Ar1135217151le_alt)) = esk30_1(X1)
| X1 = nil_Ar1135217151le_alt ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_396,plain,
hd_Arr1814706386le_alt(rotate184372300le_alt(rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))))) = c,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_371]),c_0_170]),c_0_82]),c_0_375]) ).
cnf(c_0_397,plain,
rotate184372300le_alt(rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))) != nil_Ar1135217151le_alt,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_378]) ).
cnf(c_0_398,plain,
~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)),b)),
inference(spm,[status(thm)],[c_0_110,c_0_200]) ).
cnf(c_0_399,negated_conjecture,
( b = c
| a = c
| ~ 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_379,c_0_380]),c_0_327]),c_0_156]),c_0_204])]),c_0_381]) ).
cnf(c_0_400,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_382,c_0_383]),c_0_384])]) ).
cnf(c_0_401,plain,
hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof) = fTrue,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387])]) ).
cnf(c_0_402,plain,
( hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),last_A1066338328le_alt(X1)) = fTrue
| X1 = nil_Ar1135217151le_alt ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_262]),c_0_99])]) ).
cnf(c_0_403,plain,
hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))),last_A1066338328le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_142]),c_0_144]) ).
cnf(c_0_404,plain,
( last_A1066338328le_alt(insert1969589781le_alt(X1,nil_Ar1135217151le_alt)) = X1
| ~ is_Arr723427730le_alt(X1) ),
inference(spm,[status(thm)],[c_0_171,c_0_79]) ).
cnf(c_0_405,plain,
esk30_1(tl_Arr314474198le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))))) = c,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_392]),c_0_365]) ).
cnf(c_0_406,plain,
last_A1066338328le_alt(rotate184372300le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))))) = b,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_344]),c_0_321]),c_0_346]) ).
cnf(c_0_407,plain,
( esk31_1(X1) = X2
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X3),X2) != X1
| ~ is_Arr723427730le_alt(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_174]),c_0_190]),c_0_394]) ).
cnf(c_0_408,plain,
esk30_1(rotate184372300le_alt(rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))))) = c,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_170]),c_0_397]) ).
cnf(c_0_409,plain,
hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)),b) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_261]),c_0_244]),c_0_262]),c_0_204])]) ).
cnf(c_0_410,negated_conjecture,
( a = c
| b = c ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_400]),c_0_401]),c_0_244])]) ).
cnf(c_0_411,plain,
hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)),c) = fTrue,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_170]),c_0_90]) ).
cnf(c_0_412,plain,
( insert1969589781le_alt(X1,X2) = X2
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X2),X1)) ),
inference(spm,[status(thm)],[c_0_308,c_0_200]) ).
cnf(c_0_413,plain,
hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))),c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_156])]) ).
cnf(c_0_414,plain,
tl_Arr314474198le_alt(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)))) = insert1969589781le_alt(c,nil_Ar1135217151le_alt),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_405]),c_0_391]),c_0_79]),c_0_365]) ).
cnf(c_0_415,plain,
esk30_1(rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt)))) = b,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_406]),c_0_346]) ).
cnf(c_0_416,plain,
( esk31_1(X1) = insert1969589781le_alt(c,nil_Ar1135217151le_alt)
| insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_125]),c_0_204])]) ).
cnf(c_0_417,plain,
( hAPP_f87553445l_bool(X1,X2) = fTrue
| ~ hBOOL(hAPP_f87553445l_bool(X1,X2))
| ~ is_fun1651000642t_bool(X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_272]) ).
cnf(c_0_418,plain,
hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,c),set_Ar426477344le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_170]),c_0_90]) ).
cnf(c_0_419,plain,
( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,c),set_Ar426477344le_alt(esk31_1(rotate184372300le_alt(rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))))))))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,rotate184372300le_alt(rotate184372300le_alt(insert1969589781le_alt(a,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_408]),c_0_397]) ).
cnf(c_0_420,negated_conjecture,
a = c,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_411]),c_0_364]) ).
cnf(c_0_421,plain,
insert1969589781le_alt(c,insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(spm,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_422,plain,
rotate184372300le_alt(insert1969589781le_alt(c,insert1969589781le_alt(b,nil_Ar1135217151le_alt))) = insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_414]),c_0_415]),c_0_125]),c_0_346]) ).
cnf(c_0_423,plain,
esk31_1(insert1969589781le_alt(b,insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = insert1969589781le_alt(c,nil_Ar1135217151le_alt),
inference(er,[status(thm)],[c_0_416]) ).
cnf(c_0_424,plain,
hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,c),set_Ar426477344le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt))) = fTrue,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_262])]) ).
cnf(c_0_425,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_419,c_0_420]),c_0_421]),c_0_295]),c_0_422]),c_0_423]),c_0_424]),c_0_244]),c_0_420]),c_0_421]),c_0_295]),c_0_422]),c_0_245]),c_0_244])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SCT170+2 : TPTP v8.1.0. Released v5.3.0.
% 0.08/0.15 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 2 04:48:44 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.53/23.55 eprover: CPU time limit exceeded, terminating
% 0.53/23.56 eprover: CPU time limit exceeded, terminating
% 0.53/23.57 eprover: CPU time limit exceeded, terminating
% 0.53/23.57 eprover: CPU time limit exceeded, terminating
% 0.69/46.57 eprover: CPU time limit exceeded, terminating
% 0.69/46.58 eprover: CPU time limit exceeded, terminating
% 0.69/46.59 eprover: CPU time limit exceeded, terminating
% 0.69/46.63 eprover: CPU time limit exceeded, terminating
% 0.85/69.60 eprover: CPU time limit exceeded, terminating
% 0.85/69.60 eprover: CPU time limit exceeded, terminating
% 0.85/69.61 eprover: CPU time limit exceeded, terminating
% 0.85/69.64 eprover: CPU time limit exceeded, terminating
% 0.99/90.19 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.99/90.19
% 0.99/90.19 # Failure: Resource limit exceeded (time)
% 0.99/90.19 # OLD status Res
% 0.99/90.19 # Preprocessing time : 0.142 s
% 0.99/90.19 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.99/90.19
% 0.99/90.19 # Failure: Resource limit exceeded (time)
% 0.99/90.19 # OLD status Res
% 0.99/90.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.99/90.19 # Preprocessing time : 0.068 s
% 0.99/90.19 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.99/90.19
% 0.99/90.19 # Failure: Resource limit exceeded (time)
% 0.99/90.19 # OLD status Res
% 0.99/90.19 # Preprocessing time : 0.080 s
% 0.99/90.19 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 0.99/90.19 # Preprocessing time : 0.079 s
% 0.99/90.19
% 0.99/90.19 # Proof found!
% 0.99/90.19 # SZS status Theorem
% 0.99/90.19 # SZS output start CNFRefutation
% See solution above
% 0.99/90.19 # Proof object total steps : 426
% 0.99/90.19 # Proof object clause steps : 293
% 0.99/90.19 # Proof object formula steps : 133
% 0.99/90.19 # Proof object conjectures : 9
% 0.99/90.19 # Proof object clause conjectures : 6
% 0.99/90.19 # Proof object formula conjectures : 3
% 0.99/90.19 # Proof object initial clauses used : 87
% 0.99/90.19 # Proof object initial formulas used : 73
% 0.99/90.19 # Proof object generating inferences : 184
% 0.99/90.19 # Proof object simplifying inferences : 235
% 0.99/90.19 # Training examples: 0 positive, 0 negative
% 0.99/90.19 # Parsed axioms : 1012
% 0.99/90.19 # Removed by relevancy pruning/SinE : 0
% 0.99/90.19 # Initial clauses : 1725
% 0.99/90.19 # Removed in clause preprocessing : 28
% 0.99/90.19 # Initial clauses in saturation : 1697
% 0.99/90.19 # Processed clauses : 59304
% 0.99/90.19 # ...of these trivial : 1436
% 0.99/90.19 # ...subsumed : 46300
% 0.99/90.19 # ...remaining for further processing : 11568
% 0.99/90.19 # Other redundant clauses eliminated : 1466
% 0.99/90.19 # Clauses deleted for lack of memory : 183157
% 0.99/90.19 # Backward-subsumed : 507
% 0.99/90.19 # Backward-rewritten : 3024
% 0.99/90.19 # Generated clauses : 436860
% 0.99/90.19 # ...of the previous two non-trivial : 380480
% 0.99/90.19 # Contextual simplify-reflections : 11097
% 0.99/90.19 # Paramodulations : 435033
% 0.99/90.19 # Factorizations : 110
% 0.99/90.19 # Equation resolutions : 1720
% 0.99/90.19 # Current number of processed clauses : 7974
% 0.99/90.19 # Positive orientable unit clauses : 732
% 0.99/90.19 # Positive unorientable unit clauses: 10
% 0.99/90.19 # Negative unit clauses : 197
% 0.99/90.19 # Non-unit-clauses : 7035
% 0.99/90.19 # Current number of unprocessed clauses: 64678
% 0.99/90.19 # ...number of literals in the above : 234103
% 0.99/90.19 # Current number of archived formulas : 0
% 0.99/90.19 # Current number of archived clauses : 3533
% 0.99/90.19 # Clause-clause subsumption calls (NU) : 20094062
% 0.99/90.19 # Rec. Clause-clause subsumption calls : 14307343
% 0.99/90.19 # Non-unit clause-clause subsumptions : 24448
% 0.99/90.19 # Unit Clause-clause subsumption calls : 1294035
% 0.99/90.19 # Rewrite failures with RHS unbound : 11
% 0.99/90.19 # BW rewrite match attempts : 6251
% 0.99/90.19 # BW rewrite match successes : 481
% 0.99/90.19 # Condensation attempts : 0
% 0.99/90.19 # Condensation successes : 0
% 0.99/90.19 # Termbank termtop insertions : 9741893
% 0.99/90.19
% 0.99/90.19 # -------------------------------------------------
% 0.99/90.19 # User time : 19.995 s
% 0.99/90.19 # System time : 0.168 s
% 0.99/90.19 # Total time : 20.163 s
% 0.99/90.19 # Maximum resident set size: 170260 pages
% 0.99/92.62 eprover: CPU time limit exceeded, terminating
% 0.99/92.63 eprover: CPU time limit exceeded, terminating
% 0.99/92.63 eprover: CPU time limit exceeded, terminating
% 0.99/92.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.64 eprover: No such file or directory
% 0.99/92.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.64 eprover: No such file or directory
% 0.99/92.65 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.pCannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.65
% 0.99/92.65 eprover: No such file or directory
% 0.99/92.65 eprover: No such file or directory
% 0.99/92.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.65 eprover: No such file or directory
% 0.99/92.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.65 eprover: No such file or directory
% 0.99/92.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/92.65 eprover: No such file or directory
% 0.99/92.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/92.66 eprover: No such file or directory
% 0.99/92.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.66 eprover: No such file or directory
% 0.99/92.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.66 eprover: No such file or directory
% 0.99/92.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.66 eprover: No such file or directory
% 0.99/92.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/92.66 eprover: No such file or directory
% 0.99/92.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.66 eprover: No such file or directory
% 0.99/92.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/92.67 eprover: No such file or directory
% 0.99/92.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.67 eprover: No such file or directory
% 0.99/92.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.67 eprover: No such file or directory
% 0.99/92.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/92.67 eprover: No such file or directory
% 0.99/92.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/92.67 eprover: No such file or directory
% 0.99/92.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.67 eprover: No such file or directory
% 0.99/92.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.68 eprover: No such file or directory
% 0.99/92.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/92.68 eprover: No such file or directory
% 0.99/92.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.68 eprover: No such file or directory
% 0.99/92.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.68 eprover: No such file or directory
% 0.99/92.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/92.69 eprover: No such file or directory
%------------------------------------------------------------------------------