TSTP Solution File: SCT171_1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SCT171_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:55:20 EDT 2023
% Result : Theorem 7.71s 2.92s
% Output : CNFRefutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 359
% Syntax : Number of formulae : 364 ( 6 unt; 356 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 110 ( 109 usr)
% Number of type conns : 379 ( 188 >; 191 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 246 ( 246 usr; 59 con; 0-6 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ hBOOL > produc170576535le_alt > pi_fun953636405l_bool > pi_fun779925307l_bool > pi_fun465500049l_bool > pi_fun456133649t_bool > pi_fun2132478361e_indi > pi_fun1549517203e_indi > pi_fun1545124079e_indi > pi_boo853084305t_bool > pi_boo683563155t_bool > pi_boo2120406325t_bool > pi_boo158890749le_alt > pi_Pro811330557t_bool > pi_Pro723839835e_indi > pi_Arr478149871t_bool > pi_Arr447918939le_alt > pi_Arr1358199477t_bool > pi_Arr1077238675t_bool > inj_on1177549232di_nat > hilber797233813di_nat > hAPP_nat_bool > hAPP_n1699378549t_bool > hAPP_n1582158000e_indi > hAPP_f989466937l_bool > hAPP_f910728105t_bool > hAPP_f906860201i_bool > hAPP_f90330565l_bool > hAPP_f899216831l_bool > hAPP_f87993209e_indi > hAPP_f823592631i_bool > hAPP_f786935331l_bool > hAPP_f759862099l_bool > hAPP_f748921117l_bool > hAPP_f727188501t_bool > hAPP_f725100827l_bool > hAPP_f718157575t_bool > hAPP_f71505983l_bool > hAPP_f671542927e_indi > hAPP_f639792199l_bool > hAPP_f626809057l_bool > hAPP_f598211249l_bool > hAPP_f544895323l_bool > hAPP_f466810275l_bool > hAPP_f459175489l_bool > hAPP_f387058535l_bool > hAPP_f359017159l_bool > hAPP_f279586623l_bool > hAPP_f243652437l_bool > hAPP_f2128533835l_bool > hAPP_f2013855105l_bool > hAPP_f1993665755l_bool > hAPP_f1944886577l_bool > hAPP_f1911990195l_bool > hAPP_f1827424979l_bool > hAPP_f180608831l_bool > hAPP_f1758973969t_bool > hAPP_f1753158741l_bool > hAPP_f174050481l_bool > hAPP_f1699392794t_bool > hAPP_f1651042461l_bool > hAPP_f1631746589e_indi > hAPP_f1601816755l_bool > hAPP_f1561296623i_bool > hAPP_f1560118175t_bool > hAPP_f1559864639i_bool > hAPP_f1511451035i_bool > hAPP_f1481710327l_bool > hAPP_f1435434693l_bool > hAPP_f1418708797l_bool > hAPP_f1394256759l_bool > hAPP_f1364914207l_bool > hAPP_f1364159657i_bool > hAPP_f1347377641l_bool > hAPP_f1325493883l_bool > hAPP_f1303771867l_bool > hAPP_f1270259485l_bool > hAPP_f1265202753l_bool > hAPP_f1237345129l_bool > hAPP_f1230984105l_bool > hAPP_f1224613979i_bool > hAPP_f1172974131t_bool > hAPP_f1095388607l_bool > hAPP_bool_bool > hAPP_b98736263le_alt > hAPP_b930206237l_bool > hAPP_b611520797i_bool > hAPP_b589554111l_bool > hAPP_b1848524425t_bool > hAPP_b1702702257t_bool > hAPP_b1178471617l_bool > hAPP_b114674879t_bool > hAPP_b1112685083t_bool > hAPP_b1017527359l_bool > hAPP_P751176071t_bool > hAPP_P259956691i_bool > hAPP_P2005668213l_bool > hAPP_P163170789e_indi > hAPP_A784015157t_bool > hAPP_A711829680t_bool > hAPP_A476679046t_bool > hAPP_A301260095t_bool > hAPP_A272835723t_bool > hAPP_A2044747691t_bool > hAPP_A2034733541le_alt > hAPP_A1985966547t_bool > hAPP_A1790795747l_bool > hAPP_A1741215436di_nat > hAPP_A1710743709l_bool > hAPP_A1239621182t_bool > hAPP_A1168502649t_bool > hAPP_A1159468061t_bool > hAPP_A107624255l_bool > hAPP_A1059798043i_bool > cOMBS_1833320732t_bool > cOMBS_1688227464t_bool > cOMBC_998415407t_bool > cOMBC_64563468t_bool > cOMBC_377836265t_bool > cOMBC_1994570734t_bool > cOMBC_1257424504t_bool > cOMBB_715840641e_indi > cOMBB_1932856316e_indi > cOMBB_1514803447e_indi > cOMBB_124649523e_indi > #nlpp > member_bool > member993084970e_indi > member95348014e_indi > member85421004l_bool > member844573594le_alt > member641857340t_bool > member558395596t_bool > member555231642e_indi > member422031058e_indi > member326955216l_bool > member256508712t_bool > member2079888426t_bool > member2069173038t_bool > member1701178322t_bool > member158436796le_alt > member1494646772t_bool > member1484933012le_alt > member1211611472t_bool > member1124131880e_indi > member1120178292l_bool > finite1317065577e_indi > collec861220362t_bool > collec2140722898le_alt > collec1697917566t_bool > collec154865254t_bool > collec1241994086e_indi > top_top_bool > top_to850136695i_bool > top_to710777827t_bool > top_to653038619l_bool > top_to2127553399l_bool > top_to1647826457l_bool > top_to1057791589l_bool > p > ord_less_nat > ord_less_bool > ord_le287438291i_bool > ord_le2059466615l_bool > ord_le1472193545l_bool > ord_le1419690707l_bool > ord_le1051050815t_bool > n > lba > lab > if_fun95824985t_bool > h > fequal_nat > fTrue > fFalse > f > e > d > cOMBK_869185066e_indi > cOMBK_70145528t_bool > cOMBK_648664568l_bool > cOMBK_639770490t_bool > cOMBK_519762474t_bool > cOMBK_350462144le_alt > cOMBK_343479628l_bool > cOMBK_328807062le_alt > cOMBK_30438862e_indi > cOMBK_290363320le_alt > cOMBK_269839822t_bool > cOMBK_2098615510e_indi > cOMBK_206372180e_indi > cOMBK_1897375160l_bool > cOMBK_1853791052t_bool > cOMBK_1838733848t_bool > cOMBK_1801013008t_bool > cOMBK_167511280t_bool > cOMBK_164791446e_indi > cOMBK_1481288432l_bool > cOMBK_1362474068t_bool > cOMBK_1207925178t_bool > c > b > arrow_981905126le_IIA > arrow_807483785nimity > arrow_2009189698_above > arrow_1880704820e_Prof > arrow_1322316103ctator > arrow_1275257820_mktop > arrow_1126550734_mkbot > arrow_1008788854le_Lin > a > #skF_35 > #skF_23 > #skF_20 > #skF_31 > #skF_5 > #skF_4 > #skF_37 > #skF_18 > #skF_17 > #skF_8 > #skF_33 > #skF_29 > #skF_16 > #skF_10 > #skF_34 > #skF_36 > #skF_28 > #skF_19 > #skF_3 > #skF_25 > #skF_7 > #skF_30 > #skF_15 > #skF_6 > #skF_12 > #skF_27 > #skF_14 > #skF_32 > #skF_24 > #skF_26 > #skF_13 > #skF_1 > #skF_21 > #skF_11 > #skF_9 > #skF_22 > #skF_2
%Foreground sorts:
tff(produc624534567le_alt,type,
produc624534567le_alt: $tType ).
tff(fun_fu2011759009l_bool,type,
fun_fu2011759009l_bool: $tType ).
tff(fun_fu1965119761t_bool,type,
fun_fu1965119761t_bool: $tType ).
tff(fun_fu797886669l_bool,type,
fun_fu797886669l_bool: $tType ).
tff(fun_fu288602073l_bool,type,
fun_fu288602073l_bool: $tType ).
tff(fun_fu682929745l_bool,type,
fun_fu682929745l_bool: $tType ).
tff(fun_fu1740763529l_bool,type,
fun_fu1740763529l_bool: $tType ).
tff(fun_fu892925833l_bool,type,
fun_fu892925833l_bool: $tType ).
tff(fun_fu1536608137l_bool,type,
fun_fu1536608137l_bool: $tType ).
tff(fun_bo1803678369l_bool,type,
fun_bo1803678369l_bool: $tType ).
tff(fun_fu1103697397l_bool,type,
fun_fu1103697397l_bool: $tType ).
tff(fun_fu658952305l_bool,type,
fun_fu658952305l_bool: $tType ).
tff(fun_bool_bool,type,
fun_bool_bool: $tType ).
tff(fun_Pr506339783e_indi,type,
fun_Pr506339783e_indi: $tType ).
tff(fun_Ar2047178847t_bool,type,
fun_Ar2047178847t_bool: $tType ).
tff(fun_fu595758099l_bool,type,
fun_fu595758099l_bool: $tType ).
tff(fun_bo1156530537le_alt,type,
fun_bo1156530537le_alt: $tType ).
tff(fun_fu1655311859l_bool,type,
fun_fu1655311859l_bool: $tType ).
tff(arrow_1621810872le_alt,type,
arrow_1621810872le_alt: $tType ).
tff(fun_fu1903211571l_bool,type,
fun_fu1903211571l_bool: $tType ).
tff(fun_fu1917018721t_bool,type,
fun_fu1917018721t_bool: $tType ).
tff(fun_fu698697681l_bool,type,
fun_fu698697681l_bool: $tType ).
tff(fun_Ar795681735le_alt,type,
fun_Ar795681735le_alt: $tType ).
tff(fun_nat_bool,type,
fun_nat_bool: $tType ).
tff(fun_bo230129725t_bool,type,
fun_bo230129725t_bool: $tType ).
tff(fun_fu1159982633l_bool,type,
fun_fu1159982633l_bool: $tType ).
tff(fun_Ar1570071899t_bool,type,
fun_Ar1570071899t_bool: $tType ).
tff(fun_fu1123909713i_bool,type,
fun_fu1123909713i_bool: $tType ).
tff(fun_fu2105385269l_bool,type,
fun_fu2105385269l_bool: $tType ).
tff(fun_fu1479273075l_bool,type,
fun_fu1479273075l_bool: $tType ).
tff(fun_bo2136393469t_bool,type,
fun_bo2136393469t_bool: $tType ).
tff(fun_Ar1822233582t_bool,type,
fun_Ar1822233582t_bool: $tType ).
tff(arrow_501706939e_indi,type,
arrow_501706939e_indi: $tType ).
tff(fun_Ar156616864t_bool,type,
fun_Ar156616864t_bool: $tType ).
tff(fun_fu1884117237i_bool,type,
fun_fu1884117237i_bool: $tType ).
tff(fun_fu337461969l_bool,type,
fun_fu337461969l_bool: $tType ).
tff(fun_fu132047767l_bool,type,
fun_fu132047767l_bool: $tType ).
tff(fun_fu932525193i_bool,type,
fun_fu932525193i_bool: $tType ).
tff(fun_fu2085524157t_bool,type,
fun_fu2085524157t_bool: $tType ).
tff(fun_fu1255657237l_bool,type,
fun_fu1255657237l_bool: $tType ).
tff(fun_bo1549164019l_bool,type,
fun_bo1549164019l_bool: $tType ).
tff(fun_fu1605010205i_bool,type,
fun_fu1605010205i_bool: $tType ).
tff(fun_fu1940222097l_bool,type,
fun_fu1940222097l_bool: $tType ).
tff(fun_Ar2040671475t_bool,type,
fun_Ar2040671475t_bool: $tType ).
tff(fun_fu148272765t_bool,type,
fun_fu148272765t_bool: $tType ).
tff(fun_fu1019918867l_bool,type,
fun_fu1019918867l_bool: $tType ).
tff(fun_fu278604415l_bool,type,
fun_fu278604415l_bool: $tType ).
tff(fun_bo676255953i_bool,type,
fun_bo676255953i_bool: $tType ).
tff(fun_Ar1821573119l_bool,type,
fun_Ar1821573119l_bool: $tType ).
tff(fun_fu1904749695l_bool,type,
fun_fu1904749695l_bool: $tType ).
tff(fun_fu1251737213l_bool,type,
fun_fu1251737213l_bool: $tType ).
tff(fun_fu491357777l_bool,type,
fun_fu491357777l_bool: $tType ).
tff(fun_bo2138151889l_bool,type,
fun_bo2138151889l_bool: $tType ).
tff(fun_fu582883361l_bool,type,
fun_fu582883361l_bool: $tType ).
tff(fun_fu376055641l_bool,type,
fun_fu376055641l_bool: $tType ).
tff(fun_fu1743730523e_indi,type,
fun_fu1743730523e_indi: $tType ).
tff(fun_Ar2100459655t_bool,type,
fun_Ar2100459655t_bool: $tType ).
tff(fun_bo478202017t_bool,type,
fun_bo478202017t_bool: $tType ).
tff(fun_fu103733537l_bool,type,
fun_fu103733537l_bool: $tType ).
tff(fun_Ar2079322857t_bool,type,
fun_Ar2079322857t_bool: $tType ).
tff(fun_bo292969573t_bool,type,
fun_bo292969573t_bool: $tType ).
tff(fun_Ar1871347069i_bool,type,
fun_Ar1871347069i_bool: $tType ).
tff(fun_fu2114498143t_bool,type,
fun_fu2114498143t_bool: $tType ).
tff(fun_fu746839971l_bool,type,
fun_fu746839971l_bool: $tType ).
tff(fun_Ar884201459l_bool,type,
fun_Ar884201459l_bool: $tType ).
tff(nat,type,
nat: $tType ).
tff(fun_fu890127093l_bool,type,
fun_fu890127093l_bool: $tType ).
tff(fun_fu897278719l_bool,type,
fun_fu897278719l_bool: $tType ).
tff(fun_nat_fun_nat_bool,type,
fun_nat_fun_nat_bool: $tType ).
tff(fun_Pr534938793l_bool,type,
fun_Pr534938793l_bool: $tType ).
tff(fun_Ar1757019876t_bool,type,
fun_Ar1757019876t_bool: $tType ).
tff(fun_fu1734842389l_bool,type,
fun_fu1734842389l_bool: $tType ).
tff(fun_fu1791463777l_bool,type,
fun_fu1791463777l_bool: $tType ).
tff(bool,type,
bool: $tType ).
tff(fun_Ar2035712896di_nat,type,
fun_Ar2035712896di_nat: $tType ).
tff(fun_fu350122099l_bool,type,
fun_fu350122099l_bool: $tType ).
tff(fun_fu23838287i_bool,type,
fun_fu23838287i_bool: $tType ).
tff(fun_fu1786351335l_bool,type,
fun_fu1786351335l_bool: $tType ).
tff(fun_Ar154839667t_bool,type,
fun_Ar154839667t_bool: $tType ).
tff(fun_fu1371820951l_bool,type,
fun_fu1371820951l_bool: $tType ).
tff(fun_fu50365883t_bool,type,
fun_fu50365883t_bool: $tType ).
tff(fun_bo1613497205l_bool,type,
fun_bo1613497205l_bool: $tType ).
tff(fun_fu386577431l_bool,type,
fun_fu386577431l_bool: $tType ).
tff(fun_fu1845530641i_bool,type,
fun_fu1845530641i_bool: $tType ).
tff(fun_Pr123985543i_bool,type,
fun_Pr123985543i_bool: $tType ).
tff(fun_fu334384573e_indi,type,
fun_fu334384573e_indi: $tType ).
tff(fun_na1602142942e_indi,type,
fun_na1602142942e_indi: $tType ).
tff(fun_fu1083074431i_bool,type,
fun_fu1083074431i_bool: $tType ).
tff(fun_fu243829175l_bool,type,
fun_fu243829175l_bool: $tType ).
tff(fun_fu1760369922t_bool,type,
fun_fu1760369922t_bool: $tType ).
tff(fun_fu304973171l_bool,type,
fun_fu304973171l_bool: $tType ).
tff(fun_Pr1639951081t_bool,type,
fun_Pr1639951081t_bool: $tType ).
tff(fun_fu1867632401i_bool,type,
fun_fu1867632401i_bool: $tType ).
tff(fun_fu662212797i_bool,type,
fun_fu662212797i_bool: $tType ).
tff(fun_fu1157966945l_bool,type,
fun_fu1157966945l_bool: $tType ).
tff(fun_fu1950461939i_bool,type,
fun_fu1950461939i_bool: $tType ).
tff(fun_fu1655733109l_bool,type,
fun_fu1655733109l_bool: $tType ).
tff(fun_fu664235509l_bool,type,
fun_fu664235509l_bool: $tType ).
tff(fun_fu1008469439t_bool,type,
fun_fu1008469439t_bool: $tType ).
tff(fun_fu2069019647e_indi,type,
fun_fu2069019647e_indi: $tType ).
tff(fun_fu881806519l_bool,type,
fun_fu881806519l_bool: $tType ).
tff(fun_fu66812275l_bool,type,
fun_fu66812275l_bool: $tType ).
tff(fun_fu383145951l_bool,type,
fun_fu383145951l_bool: $tType ).
tff(fun_Ar1784032663l_bool,type,
fun_Ar1784032663l_bool: $tType ).
tff(fun_fu193278215t_bool,type,
fun_fu193278215t_bool: $tType ).
tff(fun_fu123258927l_bool,type,
fun_fu123258927l_bool: $tType ).
tff(fun_Ar1200683263t_bool,type,
fun_Ar1200683263t_bool: $tType ).
tff(fun_fu341524965i_bool,type,
fun_fu341524965i_bool: $tType ).
tff(fun_fu1037822389l_bool,type,
fun_fu1037822389l_bool: $tType ).
%Background operators:
%Foreground operators:
tff(hAPP_f180608831l_bool,type,
hAPP_f180608831l_bool: ( fun_fu2011759009l_bool * fun_fu383145951l_bool ) > bool ).
tff(cOMBB_1514803447e_indi,type,
cOMBB_1514803447e_indi: ( fun_nat_fun_nat_bool * fun_Ar2035712896di_nat ) > fun_Ar156616864t_bool ).
tff(member1120178292l_bool,type,
member1120178292l_bool: fun_fu103733537l_bool > fun_fu288602073l_bool ).
tff('#skF_35',type,
'#skF_35': ( arrow_501706939e_indi * fun_fu50365883t_bool ) > arrow_1621810872le_alt ).
tff(ord_le287438291i_bool,type,
ord_le287438291i_bool: fun_fu892925833l_bool ).
tff(ord_le1051050815t_bool,type,
ord_le1051050815t_bool: fun_fu1157966945l_bool ).
tff(member95348014e_indi,type,
member95348014e_indi: fun_fu1743730523e_indi > fun_fu595758099l_bool ).
tff(cOMBS_1688227464t_bool,type,
cOMBS_1688227464t_bool: ( fun_Ar2040671475t_bool * fun_Ar2047178847t_bool ) > fun_Ar2047178847t_bool ).
tff('#skF_23',type,
'#skF_23': ( fun_fu50365883t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(hAPP_f906860201i_bool,type,
hAPP_f906860201i_bool: ( fun_fu1867632401i_bool * fun_Pr1639951081t_bool ) > fun_Ar1871347069i_bool ).
tff('#skF_20',type,
'#skF_20': fun_fu50365883t_bool > fun_Ar2047178847t_bool ).
tff(top_to710777827t_bool,type,
top_to710777827t_bool: fun_Pr1639951081t_bool ).
tff(pi_fun465500049l_bool,type,
pi_fun465500049l_bool: ( fun_fu1251737213l_bool * fun_fu1734842389l_bool ) > fun_fu304973171l_bool ).
tff(member1211611472t_bool,type,
member1211611472t_bool: fun_bo2136393469t_bool > fun_fu1037822389l_bool ).
tff('#skF_31',type,
'#skF_31': fun_Ar2035712896di_nat > arrow_501706939e_indi ).
tff(top_to1057791589l_bool,type,
top_to1057791589l_bool: fun_fu383145951l_bool ).
tff(hAPP_f1095388607l_bool,type,
hAPP_f1095388607l_bool: ( fun_fu103733537l_bool * fun_Ar2047178847t_bool ) > bool ).
tff(pi_fun1549517203e_indi,type,
pi_fun1549517203e_indi: ( fun_fu103733537l_bool * fun_fu23838287i_bool ) > fun_fu1884117237i_bool ).
tff(cOMBK_2098615510e_indi,type,
cOMBK_2098615510e_indi: fun_fu491357777l_bool ).
tff(hAPP_A1790795747l_bool,type,
hAPP_A1790795747l_bool: ( fun_Ar1784032663l_bool * arrow_501706939e_indi ) > fun_fu103733537l_bool ).
tff(hAPP_f1753158741l_bool,type,
hAPP_f1753158741l_bool: ( fun_fu243829175l_bool * fun_fu1103697397l_bool ) > bool ).
tff(fequal_nat,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(ord_le1419690707l_bool,type,
ord_le1419690707l_bool: fun_fu1536608137l_bool ).
tff(arrow_1322316103ctator,type,
arrow_1322316103ctator: fun_fu1950461939i_bool ).
tff(n,type,
n: nat ).
tff(member555231642e_indi,type,
member555231642e_indi: fun_Pr506339783e_indi > fun_fu278604415l_bool ).
tff(cOMBK_30438862e_indi,type,
cOMBK_30438862e_indi: fun_fu337461969l_bool ).
tff('#skF_5',type,
'#skF_5': ( arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Ar2047178847t_bool * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).
tff('#skF_4',type,
'#skF_4': ( arrow_1621810872le_alt * fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(pi_Pro723839835e_indi,type,
pi_Pro723839835e_indi: ( fun_Pr1639951081t_bool * fun_Pr123985543i_bool ) > fun_fu662212797i_bool ).
tff(cOMBK_639770490t_bool,type,
cOMBK_639770490t_bool: fun_fu890127093l_bool ).
tff(hAPP_f1758973969t_bool,type,
hAPP_f1758973969t_bool: ( fun_fu1008469439t_bool * fun_Pr1639951081t_bool ) > fun_bo230129725t_bool ).
tff(cOMBK_206372180e_indi,type,
cOMBK_206372180e_indi: fun_bo676255953i_bool ).
tff(fTrue,type,
fTrue: bool ).
tff('#skF_37',type,
'#skF_37': ( fun_fu50365883t_bool * arrow_501706939e_indi ) > fun_Ar2047178847t_bool ).
tff(hAPP_f1511451035i_bool,type,
hAPP_f1511451035i_bool: ( fun_fu23838287i_bool * fun_Ar2047178847t_bool ) > fun_Ar1871347069i_bool ).
tff(b,type,
b: arrow_1621810872le_alt ).
tff(member844573594le_alt,type,
member844573594le_alt: fun_Ar795681735le_alt > fun_fu1904749695l_bool ).
tff(hAPP_f2013855105l_bool,type,
hAPP_f2013855105l_bool: ( fun_fu123258927l_bool * fun_fu103733537l_bool ) > fun_bo1613497205l_bool ).
tff(top_to850136695i_bool,type,
top_to850136695i_bool: fun_Ar1871347069i_bool ).
tff(pi_fun1545124079e_indi,type,
pi_fun1545124079e_indi: ( fun_fu1251737213l_bool * fun_fu1950461939i_bool ) > fun_fu1123909713i_bool ).
tff(hAPP_f1559864639i_bool,type,
hAPP_f1559864639i_bool: ( fun_fu1950461939i_bool * fun_fu50365883t_bool ) > fun_Ar1871347069i_bool ).
tff(cOMBK_1838733848t_bool,type,
cOMBK_1838733848t_bool: fun_fu1940222097l_bool ).
tff(top_to653038619l_bool,type,
top_to653038619l_bool: fun_fu103733537l_bool ).
tff(a,type,
a: arrow_1621810872le_alt ).
tff(hAPP_P2005668213l_bool,type,
hAPP_P2005668213l_bool: ( fun_Pr534938793l_bool * produc624534567le_alt ) > fun_bool_bool ).
tff(pi_boo2120406325t_bool,type,
pi_boo2120406325t_bool: ( fun_bool_bool * fun_bo1613497205l_bool ) > fun_fu132047767l_bool ).
tff(top_top_bool,type,
top_top_bool: bool ).
tff(pi_Pro811330557t_bool,type,
pi_Pro811330557t_bool: ( fun_Pr1639951081t_bool * fun_Pr534938793l_bool ) > fun_fu383145951l_bool ).
tff('#skF_18',type,
'#skF_18': ( fun_Ar2047178847t_bool * arrow_1621810872le_alt * fun_Ar2047178847t_bool * fun_fu50365883t_bool * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(hAPP_A1159468061t_bool,type,
hAPP_A1159468061t_bool: ( fun_Ar1200683263t_bool * arrow_501706939e_indi ) > fun_Ar2047178847t_bool ).
tff(member158436796le_alt,type,
member158436796le_alt: fun_bo1156530537le_alt > fun_fu582883361l_bool ).
tff(arrow_981905126le_IIA,type,
arrow_981905126le_IIA: fun_fu1251737213l_bool ).
tff(hAPP_f1481710327l_bool,type,
hAPP_f1481710327l_bool: ( fun_fu376055641l_bool * fun_fu132047767l_bool ) > bool ).
tff('#skF_17',type,
'#skF_17': fun_fu50365883t_bool > arrow_1621810872le_alt ).
tff(hAPP_f671542927e_indi,type,
hAPP_f671542927e_indi: ( fun_fu334384573e_indi * fun_Pr1639951081t_bool ) > arrow_501706939e_indi ).
tff(cOMBC_998415407t_bool,type,
cOMBC_998415407t_bool: ( fun_Ar156616864t_bool * nat ) > fun_Ar1871347069i_bool ).
tff(pi_fun456133649t_bool,type,
pi_fun456133649t_bool: ( fun_fu103733537l_bool * fun_fu746839971l_bool ) > fun_fu1251737213l_bool ).
tff(hAPP_f459175489l_bool,type,
hAPP_f459175489l_bool: ( fun_fu890127093l_bool * fun_fu383145951l_bool ) > fun_fu746839971l_bool ).
tff(hAPP_A1239621182t_bool,type,
hAPP_A1239621182t_bool: ( fun_Ar156616864t_bool * arrow_501706939e_indi ) > fun_nat_bool ).
tff(hAPP_f1270259485l_bool,type,
hAPP_f1270259485l_bool: ( fun_fu278604415l_bool * fun_fu662212797i_bool ) > bool ).
tff(hAPP_f899216831l_bool,type,
hAPP_f899216831l_bool: ( fun_fu582883361l_bool * fun_fu2114498143t_bool ) > bool ).
tff(hAPP_f1325493883l_bool,type,
hAPP_f1325493883l_bool: ( fun_fu1159982633l_bool * fun_bool_bool ) > fun_fu658952305l_bool ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(collec2140722898le_alt,type,
collec2140722898le_alt: fun_Pr1639951081t_bool > fun_Pr1639951081t_bool ).
tff(arrow_1126550734_mkbot,type,
arrow_1126550734_mkbot: fun_fu1760369922t_bool ).
tff(hAPP_b1848524425t_bool,type,
hAPP_b1848524425t_bool: ( fun_bo230129725t_bool * bool ) > fun_Pr1639951081t_bool ).
tff(member1124131880e_indi,type,
member1124131880e_indi: arrow_501706939e_indi > fun_fu350122099l_bool ).
tff(c,type,
c: arrow_1621810872le_alt ).
tff(cOMBK_167511280t_bool,type,
cOMBK_167511280t_bool: fun_fu1159982633l_bool ).
tff(hAPP_f748921117l_bool,type,
hAPP_f748921117l_bool: ( fun_fu1904749695l_bool * fun_fu2085524157t_bool ) > bool ).
tff(hAPP_f1265202753l_bool,type,
hAPP_f1265202753l_bool: ( fun_fu746839971l_bool * fun_Ar2047178847t_bool ) > fun_fu383145951l_bool ).
tff(hAPP_f823592631i_bool,type,
hAPP_f823592631i_bool: ( fun_fu341524965i_bool * fun_Ar1871347069i_bool ) > fun_fu23838287i_bool ).
tff(hAPP_f1394256759l_bool,type,
hAPP_f1394256759l_bool: ( fun_fu288602073l_bool * fun_fu386577431l_bool ) > bool ).
tff(member2079888426t_bool,type,
member2079888426t_bool: fun_bo230129725t_bool > fun_fu664235509l_bool ).
tff(arrow_807483785nimity,type,
arrow_807483785nimity: fun_fu1251737213l_bool ).
tff(hAPP_f359017159l_bool,type,
hAPP_f359017159l_bool: ( fun_fu1655733109l_bool * fun_fu1083074431i_bool ) > bool ).
tff('#skF_8',type,
'#skF_8': ( fun_Ar2047178847t_bool * arrow_1621810872le_alt * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(hAPP_f1827424979l_bool,type,
hAPP_f1827424979l_bool: ( fun_fu2105385269l_bool * fun_fu304973171l_bool ) > bool ).
tff(hAPP_b1112685083t_bool,type,
hAPP_b1112685083t_bool: ( fun_bo2136393469t_bool * bool ) > fun_fu50365883t_bool ).
tff(cOMBK_1362474068t_bool,type,
cOMBK_1362474068t_bool: fun_bo2138151889l_bool ).
tff(hAPP_f1631746589e_indi,type,
hAPP_f1631746589e_indi: ( fun_fu2069019647e_indi * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).
tff(hAPP_A1741215436di_nat,type,
hAPP_A1741215436di_nat: ( fun_Ar2035712896di_nat * arrow_501706939e_indi ) > nat ).
tff(cOMBC_377836265t_bool,type,
cOMBC_377836265t_bool: ( fun_Ar1757019876t_bool * arrow_1621810872le_alt ) > fun_Ar2047178847t_bool ).
tff(p,type,
p: fun_Ar2047178847t_bool ).
tff(cOMBK_290363320le_alt,type,
cOMBK_290363320le_alt: fun_fu1791463777l_bool ).
tff(hAPP_f989466937l_bool,type,
hAPP_f989466937l_bool: ( fun_fu1786351335l_bool * fun_fu1251737213l_bool ) > fun_bo2138151889l_bool ).
tff(member256508712t_bool,type,
member256508712t_bool: fun_fu50365883t_bool > fun_fu304973171l_bool ).
tff(member1494646772t_bool,type,
member1494646772t_bool: fun_bo478202017t_bool > fun_fu376055641l_bool ).
tff(cOMBS_1833320732t_bool,type,
cOMBS_1833320732t_bool: ( fun_Ar2100459655t_bool * fun_Ar2047178847t_bool ) > fun_Ar2040671475t_bool ).
tff(collec861220362t_bool,type,
collec861220362t_bool: fun_fu103733537l_bool > fun_fu103733537l_bool ).
tff(d,type,
d: arrow_1621810872le_alt ).
tff(arrow_1880704820e_Prof,type,
arrow_1880704820e_Prof: fun_fu103733537l_bool ).
tff(hAPP_b98736263le_alt,type,
hAPP_b98736263le_alt: ( fun_bo1156530537le_alt * bool ) > produc624534567le_alt ).
tff(pi_fun779925307l_bool,type,
pi_fun779925307l_bool: ( fun_fu383145951l_bool * fun_fu1903211571l_bool ) > fun_fu2011759009l_bool ).
tff(hAPP_n1582158000e_indi,type,
hAPP_n1582158000e_indi: ( fun_na1602142942e_indi * nat ) > arrow_501706939e_indi ).
tff(hAPP_f1944886577l_bool,type,
hAPP_f1944886577l_bool: ( fun_fu383145951l_bool * fun_Pr1639951081t_bool ) > bool ).
tff('#skF_33',type,
'#skF_33': ( arrow_501706939e_indi * fun_fu50365883t_bool ) > fun_Ar2047178847t_bool ).
tff(hAPP_f466810275l_bool,type,
hAPP_f466810275l_bool: ( fun_fu337461969l_bool * fun_fu103733537l_bool ) > fun_Ar1784032663l_bool ).
tff(pi_Arr447918939le_alt,type,
pi_Arr447918939le_alt: ( fun_Ar1871347069i_bool * fun_Ar2047178847t_bool ) > fun_fu2085524157t_bool ).
tff('#skF_29',type,
'#skF_29': ( fun_Ar2035712896di_nat * fun_Ar1871347069i_bool ) > arrow_501706939e_indi ).
tff(top_to2127553399l_bool,type,
top_to2127553399l_bool: fun_fu1251737213l_bool ).
tff(hAPP_b1017527359l_bool,type,
hAPP_b1017527359l_bool: ( fun_bo1803678369l_bool * bool ) > fun_fu383145951l_bool ).
tff(hAPP_f639792199l_bool,type,
hAPP_f639792199l_bool: ( fun_fu664235509l_bool * fun_fu897278719l_bool ) > bool ).
tff(hAPP_f1699392794t_bool,type,
hAPP_f1699392794t_bool: ( fun_fu1760369922t_bool * fun_Pr1639951081t_bool ) > fun_Ar1822233582t_bool ).
tff('#skF_16',type,
'#skF_16': fun_fu50365883t_bool > arrow_1621810872le_alt ).
tff(hAPP_n1699378549t_bool,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(member326955216l_bool,type,
member326955216l_bool: fun_fu1251737213l_bool > fun_fu2105385269l_bool ).
tff(member_bool,type,
member_bool: bool > fun_fu1255657237l_bool ).
tff('#skF_10',type,
'#skF_10': ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(hAPP_A784015157t_bool,type,
hAPP_A784015157t_bool: ( fun_Ar2079322857t_bool * arrow_501706939e_indi ) > fun_Ar154839667t_bool ).
tff(member422031058e_indi,type,
member422031058e_indi: fun_fu2069019647e_indi > fun_fu881806519l_bool ).
tff(hAPP_f1435434693l_bool,type,
hAPP_f1435434693l_bool: ( fun_fu304973171l_bool * fun_fu1251737213l_bool ) > bool ).
tff(hAPP_A711829680t_bool,type,
hAPP_A711829680t_bool: ( fun_Ar1757019876t_bool * arrow_501706939e_indi ) > fun_Ar1822233582t_bool ).
tff(hAPP_P259956691i_bool,type,
hAPP_P259956691i_bool: ( fun_Pr123985543i_bool * produc624534567le_alt ) > fun_Ar1871347069i_bool ).
tff(ord_less_bool,type,
ord_less_bool: fun_bo1549164019l_bool ).
tff(hAPP_A1985966547t_bool,type,
hAPP_A1985966547t_bool: ( fun_Ar2100459655t_bool * arrow_501706939e_indi ) > fun_fu1965119761t_bool ).
tff(member993084970e_indi,type,
member993084970e_indi: fun_fu334384573e_indi > fun_fu1655733109l_bool ).
tff(pi_Arr1358199477t_bool,type,
pi_Arr1358199477t_bool: ( fun_Ar1871347069i_bool * fun_Ar1821573119l_bool ) > fun_fu103733537l_bool ).
tff(cOMBK_1897375160l_bool,type,
cOMBK_1897375160l_bool: fun_fu1008469439t_bool ).
tff(hAPP_A2034733541le_alt,type,
hAPP_A2034733541le_alt: ( fun_Ar795681735le_alt * arrow_501706939e_indi ) > produc624534567le_alt ).
tff(hAPP_f1364159657i_bool,type,
hAPP_f1364159657i_bool: ( fun_fu1845530641i_bool * fun_Ar1871347069i_bool ) > fun_fu1867632401i_bool ).
tff(cOMBC_1257424504t_bool,type,
cOMBC_1257424504t_bool: ( fun_Ar2040671475t_bool * fun_Pr1639951081t_bool ) > fun_Ar2047178847t_bool ).
tff(hAPP_f786935331l_bool,type,
hAPP_f786935331l_bool: ( fun_fu698697681l_bool * fun_fu103733537l_bool ) > fun_fu386577431l_bool ).
tff('#skF_34',type,
'#skF_34': ( arrow_501706939e_indi * fun_fu50365883t_bool ) > arrow_1621810872le_alt ).
tff(hAPP_f1561296623i_bool,type,
hAPP_f1561296623i_bool: ( fun_fu1605010205i_bool * fun_Ar1871347069i_bool ) > fun_Pr123985543i_bool ).
tff('#skF_36',type,
'#skF_36': ( arrow_1621810872le_alt * arrow_1621810872le_alt ) > fun_Pr1639951081t_bool ).
tff(ord_le1472193545l_bool,type,
ord_le1472193545l_bool: fun_fu66812275l_bool ).
tff(member641857340t_bool,type,
member641857340t_bool: fun_Pr1639951081t_bool > fun_fu2011759009l_bool ).
tff(hAPP_f1237345129l_bool,type,
hAPP_f1237345129l_bool: ( fun_fu386577431l_bool * fun_fu103733537l_bool ) > bool ).
tff('#skF_28',type,
'#skF_28': ( fun_Ar2035712896di_nat * fun_Ar1871347069i_bool ) > arrow_501706939e_indi ).
tff(hAPP_f279586623l_bool,type,
hAPP_f279586623l_bool: ( fun_fu66812275l_bool * fun_fu383145951l_bool ) > fun_fu2011759009l_bool ).
tff(hAPP_A301260095t_bool,type,
hAPP_A301260095t_bool: ( fun_Ar2040671475t_bool * arrow_501706939e_indi ) > fun_fu148272765t_bool ).
tff(hAPP_P751176071t_bool,type,
hAPP_P751176071t_bool: ( fun_Pr1639951081t_bool * produc624534567le_alt ) > bool ).
tff(hAPP_f598211249l_bool,type,
hAPP_f598211249l_bool: ( fun_fu1019918867l_bool * fun_fu682929745l_bool ) > bool ).
tff(member558395596t_bool,type,
member558395596t_bool: fun_Ar2047178847t_bool > fun_fu386577431l_bool ).
tff(hAPP_f725100827l_bool,type,
hAPP_f725100827l_bool: ( fun_fu1251737213l_bool * fun_fu50365883t_bool ) > bool ).
tff(cOMBK_1207925178t_bool,type,
cOMBK_1207925178t_bool: fun_fu1845530641i_bool ).
tff(lba,type,
lba: fun_Pr1639951081t_bool ).
tff(collec1241994086e_indi,type,
collec1241994086e_indi: fun_Ar1871347069i_bool > fun_Ar1871347069i_bool ).
tff(member85421004l_bool,type,
member85421004l_bool: fun_fu383145951l_bool > fun_fu1371820951l_bool ).
tff(pi_Arr1077238675t_bool,type,
pi_Arr1077238675t_bool: ( fun_Ar1871347069i_bool * fun_Ar1784032663l_bool ) > fun_fu1103697397l_bool ).
tff(hAPP_A1710743709l_bool,type,
hAPP_A1710743709l_bool: ( fun_Ar1821573119l_bool * arrow_501706939e_indi ) > fun_fu383145951l_bool ).
tff(hAPP_f90330565l_bool,type,
hAPP_f90330565l_bool: ( fun_fu350122099l_bool * fun_Ar1871347069i_bool ) > bool ).
tff(hAPP_f243652437l_bool,type,
hAPP_f243652437l_bool: ( fun_fu881806519l_bool * fun_fu1884117237i_bool ) > bool ).
tff('#skF_19',type,
'#skF_19': ( fun_Ar2047178847t_bool * arrow_1621810872le_alt * fun_Ar2047178847t_bool * fun_fu50365883t_bool * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(hAPP_f2128533835l_bool,type,
hAPP_f2128533835l_bool: ( fun_fu1903211571l_bool * fun_Pr1639951081t_bool ) > fun_bool_bool ).
tff('#skF_3',type,
'#skF_3': ( arrow_1621810872le_alt * fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(hAPP_A1168502649t_bool,type,
hAPP_A1168502649t_bool: ( fun_Ar1570071899t_bool * arrow_501706939e_indi ) > fun_fu50365883t_bool ).
tff(hAPP_f1911990195l_bool,type,
hAPP_f1911990195l_bool: ( fun_fu1157966945l_bool * fun_Pr1639951081t_bool ) > fun_fu383145951l_bool ).
tff(hAPP_b1178471617l_bool,type,
hAPP_b1178471617l_bool: ( fun_bo1613497205l_bool * bool ) > fun_fu103733537l_bool ).
tff(hAPP_nat_bool,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(hAPP_f1347377641l_bool,type,
hAPP_f1347377641l_bool: ( fun_fu1371820951l_bool * fun_fu2011759009l_bool ) > bool ).
tff(cOMBK_869185066e_indi,type,
cOMBK_869185066e_indi: fun_fu1740763529l_bool ).
tff(hAPP_f910728105t_bool,type,
hAPP_f910728105t_bool: ( fun_fu1965119761t_bool * fun_Pr1639951081t_bool ) > fun_fu148272765t_bool ).
tff(cOMBK_1853791052t_bool,type,
cOMBK_1853791052t_bool: fun_fu797886669l_bool ).
tff(hAPP_f1224613979i_bool,type,
hAPP_f1224613979i_bool: ( fun_fu932525193i_bool * fun_Ar1871347069i_bool ) > fun_fu1950461939i_bool ).
tff(cOMBC_1994570734t_bool,type,
cOMBC_1994570734t_bool: ( fun_Ar2079322857t_bool * arrow_1621810872le_alt ) > fun_Ar1757019876t_bool ).
tff(hAPP_A476679046t_bool,type,
hAPP_A476679046t_bool: ( fun_Ar1822233582t_bool * arrow_1621810872le_alt ) > fun_Pr1639951081t_bool ).
tff(cOMBB_1932856316e_indi,type,
cOMBB_1932856316e_indi: ( fun_fu1760369922t_bool * fun_Ar2047178847t_bool ) > fun_Ar1757019876t_bool ).
tff('#skF_25',type,
'#skF_25': ( fun_Pr1639951081t_bool * fun_Pr1639951081t_bool ) > arrow_1621810872le_alt ).
tff(cOMBK_350462144le_alt,type,
cOMBK_350462144le_alt: fun_bo230129725t_bool ).
tff('#skF_7',type,
'#skF_7': ( fun_Ar2047178847t_bool * arrow_1621810872le_alt * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(hAPP_f718157575t_bool,type,
hAPP_f718157575t_bool: ( fun_fu50365883t_bool * fun_Ar2047178847t_bool ) > fun_Pr1639951081t_bool ).
tff('#skF_30',type,
'#skF_30': ( fun_na1602142942e_indi * fun_Ar2035712896di_nat ) > nat ).
tff('#skF_15',type,
'#skF_15': fun_fu50365883t_bool > fun_Ar2047178847t_bool ).
tff(hAPP_f727188501t_bool,type,
hAPP_f727188501t_bool: ( fun_fu148272765t_bool * fun_Pr1639951081t_bool ) > fun_Pr1639951081t_bool ).
tff(e,type,
e: arrow_1621810872le_alt ).
tff('#skF_6',type,
'#skF_6': ( arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Ar2047178847t_bool * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).
tff(arrow_2009189698_above,type,
arrow_2009189698_above: fun_fu193278215t_bool ).
tff(cOMBB_124649523e_indi,type,
cOMBB_124649523e_indi: ( fun_bo292969573t_bool * fun_Ar1871347069i_bool ) > fun_Ar2100459655t_bool ).
tff(member1701178322t_bool,type,
member1701178322t_bool: fun_Ar1200683263t_bool > fun_fu243829175l_bool ).
tff(hAPP_f626809057l_bool,type,
hAPP_f626809057l_bool: ( fun_fu1734842389l_bool * fun_fu50365883t_bool ) > fun_bool_bool ).
tff(member2069173038t_bool,type,
member2069173038t_bool: fun_Ar1570071899t_bool > fun_fu1019918867l_bool ).
tff(hAPP_b114674879t_bool,type,
hAPP_b114674879t_bool: ( fun_bo478202017t_bool * bool ) > fun_Ar2047178847t_bool ).
tff(produc170576535le_alt,type,
produc170576535le_alt: ( arrow_1621810872le_alt * arrow_1621810872le_alt ) > produc624534567le_alt ).
tff('#skF_12',type,
'#skF_12': fun_Pr1639951081t_bool > arrow_1621810872le_alt ).
tff(cOMBK_648664568l_bool,type,
cOMBK_648664568l_bool: fun_fu1479273075l_bool ).
tff(member1484933012le_alt,type,
member1484933012le_alt: produc624534567le_alt > fun_fu383145951l_bool ).
tff(arrow_1008788854le_Lin,type,
arrow_1008788854le_Lin: fun_fu383145951l_bool ).
tff(pi_Arr478149871t_bool,type,
pi_Arr478149871t_bool: ( fun_Ar1871347069i_bool * fun_Ar884201459l_bool ) > fun_fu682929745l_bool ).
tff(hilber797233813di_nat,type,
hilber797233813di_nat: ( fun_Ar1871347069i_bool * fun_Ar2035712896di_nat ) > fun_na1602142942e_indi ).
tff('#skF_27',type,
'#skF_27': ( fun_Pr1639951081t_bool * fun_Pr1639951081t_bool ) > arrow_1621810872le_alt ).
tff('#skF_14',type,
'#skF_14': fun_fu50365883t_bool > fun_Ar2047178847t_bool ).
tff(hAPP_P163170789e_indi,type,
hAPP_P163170789e_indi: ( fun_Pr506339783e_indi * produc624534567le_alt ) > arrow_501706939e_indi ).
tff('#skF_32',type,
'#skF_32': fun_Ar2035712896di_nat > arrow_501706939e_indi ).
tff(hAPP_f1651042461l_bool,type,
hAPP_f1651042461l_bool: ( fun_fu491357777l_bool * fun_fu383145951l_bool ) > fun_Ar1821573119l_bool ).
tff('#skF_24',type,
'#skF_24': ( fun_Pr1639951081t_bool * fun_Pr1639951081t_bool ) > arrow_1621810872le_alt ).
tff(cOMBC_64563468t_bool,type,
cOMBC_64563468t_bool: ( fun_Ar2100459655t_bool * fun_Pr1639951081t_bool ) > fun_Ar2040671475t_bool ).
tff(hAPP_f71505983l_bool,type,
hAPP_f71505983l_bool: ( fun_fu1479273075l_bool * fun_fu383145951l_bool ) > fun_bo1803678369l_bool ).
tff(fFalse,type,
fFalse: bool ).
tff(ord_less_nat,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff('#skF_26',type,
'#skF_26': ( fun_Pr1639951081t_bool * fun_Pr1639951081t_bool ) > arrow_1621810872le_alt ).
tff(inj_on1177549232di_nat,type,
inj_on1177549232di_nat: ( fun_Ar2035712896di_nat * fun_Ar1871347069i_bool ) > bool ).
tff(pi_fun953636405l_bool,type,
pi_fun953636405l_bool: ( fun_fu103733537l_bool * fun_fu658952305l_bool ) > fun_fu386577431l_bool ).
tff(hAPP_f1601816755l_bool,type,
hAPP_f1601816755l_bool: ( fun_fu1791463777l_bool * fun_bool_bool ) > fun_Pr534938793l_bool ).
tff(finite1317065577e_indi,type,
finite1317065577e_indi: fun_Ar1871347069i_bool > nat ).
tff(arrow_1275257820_mktop,type,
arrow_1275257820_mktop: fun_fu1760369922t_bool ).
tff(pi_boo158890749le_alt,type,
pi_boo158890749le_alt: ( fun_bool_bool * fun_bo230129725t_bool ) > fun_fu2114498143t_bool ).
tff(pi_boo853084305t_bool,type,
pi_boo853084305t_bool: ( fun_bool_bool * fun_bo2138151889l_bool ) > fun_fu1655311859l_bool ).
tff(top_to1647826457l_bool,type,
top_to1647826457l_bool: fun_bool_bool ).
tff('#skF_13',type,
'#skF_13': fun_Pr1639951081t_bool > produc624534567le_alt ).
tff(cOMBK_519762474t_bool,type,
cOMBK_519762474t_bool: fun_fu932525193i_bool ).
tff('#skF_1',type,
'#skF_1': ( arrow_1621810872le_alt * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).
tff(hBOOL,type,
hBOOL: bool > $o ).
tff('#skF_21',type,
'#skF_21': fun_fu50365883t_bool > arrow_1621810872le_alt ).
tff(cOMBK_70145528t_bool,type,
cOMBK_70145528t_bool: fun_bo1613497205l_bool ).
tff(collec154865254t_bool,type,
collec154865254t_bool: fun_fu1251737213l_bool > fun_fu1251737213l_bool ).
tff(hAPP_f1364914207l_bool,type,
hAPP_f1364914207l_bool: ( fun_fu797886669l_bool * fun_bool_bool ) > fun_fu1734842389l_bool ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(h,type,
h: fun_Ar2035712896di_nat ).
tff(pi_fun2132478361e_indi,type,
pi_fun2132478361e_indi: ( fun_fu383145951l_bool * fun_fu1867632401i_bool ) > fun_fu1083074431i_bool ).
tff(cOMBK_343479628l_bool,type,
cOMBK_343479628l_bool: fun_fu1786351335l_bool ).
tff(cOMBK_164791446e_indi,type,
cOMBK_164791446e_indi: fun_fu1917018721t_bool ).
tff(hAPP_b611520797i_bool,type,
hAPP_b611520797i_bool: ( fun_bo676255953i_bool * bool ) > fun_Ar1871347069i_bool ).
tff(hAPP_f544895323l_bool,type,
hAPP_f544895323l_bool: ( fun_fu1740763529l_bool * fun_fu1251737213l_bool ) > fun_Ar884201459l_bool ).
tff(if_fun95824985t_bool,type,
if_fun95824985t_bool: fun_bo292969573t_bool ).
tff(hAPP_f1303771867l_bool,type,
hAPP_f1303771867l_bool: ( fun_fu1536608137l_bool * fun_fu1251737213l_bool ) > fun_fu304973171l_bool ).
tff(hAPP_f1230984105l_bool,type,
hAPP_f1230984105l_bool: ( fun_fu1940222097l_bool * fun_bool_bool ) > fun_fu1903211571l_bool ).
tff(f,type,
f: fun_fu50365883t_bool ).
tff('#skF_11',type,
'#skF_11': fun_Pr1639951081t_bool > arrow_1621810872le_alt ).
tff(hAPP_f87993209e_indi,type,
hAPP_f87993209e_indi: ( fun_fu1743730523e_indi * fun_fu50365883t_bool ) > arrow_501706939e_indi ).
tff('#skF_9',type,
'#skF_9': ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff('#skF_22',type,
'#skF_22': fun_fu50365883t_bool > arrow_1621810872le_alt ).
tff(hAPP_A272835723t_bool,type,
hAPP_A272835723t_bool: ( fun_Ar154839667t_bool * arrow_1621810872le_alt ) > fun_Ar1822233582t_bool ).
tff(hAPP_A1059798043i_bool,type,
hAPP_A1059798043i_bool: ( fun_Ar1871347069i_bool * arrow_501706939e_indi ) > bool ).
tff(cOMBK_269839822t_bool,type,
cOMBK_269839822t_bool: fun_fu341524965i_bool ).
tff(cOMBK_1801013008t_bool,type,
cOMBK_1801013008t_bool: fun_bo1803678369l_bool ).
tff(cOMBK_328807062le_alt,type,
cOMBK_328807062le_alt: fun_fu1605010205i_bool ).
tff(hAPP_b1702702257t_bool,type,
hAPP_b1702702257t_bool: ( fun_bo292969573t_bool * bool ) > fun_fu1965119761t_bool ).
tff(collec1697917566t_bool,type,
collec1697917566t_bool: fun_fu383145951l_bool > fun_fu383145951l_bool ).
tff(hAPP_f174050481l_bool,type,
hAPP_f174050481l_bool: ( fun_fu595758099l_bool * fun_fu1123909713i_bool ) > bool ).
tff(hAPP_A2044747691t_bool,type,
hAPP_A2044747691t_bool: ( fun_Ar2047178847t_bool * arrow_501706939e_indi ) > fun_Pr1639951081t_bool ).
tff(hAPP_f759862099l_bool,type,
hAPP_f759862099l_bool: ( fun_fu1037822389l_bool * fun_fu1655311859l_bool ) > bool ).
tff(lab,type,
lab: fun_Pr1639951081t_bool ).
tff(hAPP_f387058535l_bool,type,
hAPP_f387058535l_bool: ( fun_fu1255657237l_bool * fun_bool_bool ) > bool ).
tff(cOMBB_715840641e_indi,type,
cOMBB_715840641e_indi: ( fun_fu193278215t_bool * fun_Ar2047178847t_bool ) > fun_Ar2079322857t_bool ).
tff(hAPP_A107624255l_bool,type,
hAPP_A107624255l_bool: ( fun_Ar884201459l_bool * arrow_501706939e_indi ) > fun_fu1251737213l_bool ).
tff(hAPP_f1418708797l_bool,type,
hAPP_f1418708797l_bool: ( fun_fu658952305l_bool * fun_Ar2047178847t_bool ) > fun_bool_bool ).
tff(cOMBK_1481288432l_bool,type,
cOMBK_1481288432l_bool: fun_fu123258927l_bool ).
tff(hAPP_f1993665755l_bool,type,
hAPP_f1993665755l_bool: ( fun_fu892925833l_bool * fun_Ar1871347069i_bool ) > fun_fu350122099l_bool ).
tff(ord_le2059466615l_bool,type,
ord_le2059466615l_bool: fun_fu698697681l_bool ).
tff(hAPP_b930206237l_bool,type,
hAPP_b930206237l_bool: ( fun_bo2138151889l_bool * bool ) > fun_fu1251737213l_bool ).
tff(hAPP_f1172974131t_bool,type,
hAPP_f1172974131t_bool: ( fun_fu1917018721t_bool * fun_Pr1639951081t_bool ) > fun_Ar2047178847t_bool ).
tff(hAPP_f1560118175t_bool,type,
hAPP_f1560118175t_bool: ( fun_fu193278215t_bool * fun_Pr1639951081t_bool ) > fun_Ar154839667t_bool ).
tff('#skF_2',type,
'#skF_2': ( arrow_1621810872le_alt * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).
tff(pi_boo683563155t_bool,type,
pi_boo683563155t_bool: ( fun_bool_bool * fun_bo1803678369l_bool ) > fun_fu897278719l_bool ).
tff(f_1275,negated_conjecture,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_196,axiom,
( hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p)))
<=> hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).
tff(f_193,axiom,
hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
tff(c_830,plain,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
inference(cnfTransformation,[status(thm)],[f_1275]) ).
tff(c_142,plain,
( hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p)))
| ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))) ),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_890,plain,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))),
inference(negUnitSimplification,[status(thm)],[c_830,c_142]) ).
tff(c_140,plain,
hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))),
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_890,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SCT171_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 13:17:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 7.71/2.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.27/2.92
% 8.27/2.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.27/2.95
% 8.27/2.95 Inference rules
% 8.27/2.95 ----------------------
% 8.27/2.95 #Ref : 0
% 8.27/2.95 #Sup : 0
% 8.27/2.95 #Fact : 0
% 8.27/2.95 #Define : 0
% 8.27/2.95 #Split : 0
% 8.27/2.95 #Chain : 0
% 8.27/2.95 #Close : 0
% 8.27/2.95
% 8.27/2.95 Ordering : KBO
% 8.27/2.95
% 8.27/2.95 Simplification rules
% 8.27/2.95 ----------------------
% 8.27/2.95 #Subsume : 344
% 8.27/2.95 #Demod : 111
% 8.27/2.95 #Tautology : 66
% 8.27/2.95 #SimpNegUnit : 6
% 8.27/2.95 #BackRed : 0
% 8.27/2.95
% 8.27/2.95 #Partial instantiations: 0
% 8.27/2.95 #Strategies tried : 1
% 8.27/2.95
% 8.27/2.95 Timing (in seconds)
% 8.27/2.95 ----------------------
% 8.27/2.96 Preprocessing : 1.49
% 8.27/2.96 Parsing : 0.87
% 8.27/2.96 CNF conversion : 0.11
% 8.27/2.96 Main loop : 0.39
% 8.27/2.96 Inferencing : 0.00
% 8.27/2.96 Reduction : 0.23
% 8.27/2.96 Demodulation : 0.17
% 8.27/2.96 BG Simplification : 0.09
% 8.27/2.96 Subsumption : 0.11
% 8.27/2.96 Abstraction : 0.02
% 8.27/2.96 MUC search : 0.00
% 8.27/2.96 Cooper : 0.00
% 8.27/2.96 Total : 1.94
% 8.27/2.96 Index Insertion : 0.00
% 8.27/2.96 Index Deletion : 0.00
% 8.27/2.96 Index Matching : 0.00
% 8.27/2.96 BG Taut test : 0.00
%------------------------------------------------------------------------------