%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT171_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:37:40 PM UTC 2026
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 110 ( 109 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-5 aty)
% Number of functors : 238 ( 238 usr; 59 con; 0-6 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_1621810872le_alt: $tType ).
tff(type_def_6,type,
arrow_501706939e_indi: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
fun_Ar154839667t_bool: $tType ).
tff(type_def_10,type,
fun_Ar1822233582t_bool: $tType ).
tff(type_def_11,type,
fun_Ar1871347069i_bool: $tType ).
tff(type_def_12,type,
fun_Ar2035712896di_nat: $tType ).
tff(type_def_13,type,
fun_Ar2079322857t_bool: $tType ).
tff(type_def_14,type,
fun_Ar1757019876t_bool: $tType ).
tff(type_def_15,type,
fun_Ar1200683263t_bool: $tType ).
tff(type_def_16,type,
fun_Ar156616864t_bool: $tType ).
tff(type_def_17,type,
fun_Ar1784032663l_bool: $tType ).
tff(type_def_18,type,
fun_Ar1570071899t_bool: $tType ).
tff(type_def_19,type,
fun_Ar884201459l_bool: $tType ).
tff(type_def_20,type,
fun_Ar1821573119l_bool: $tType ).
tff(type_def_21,type,
fun_Ar2100459655t_bool: $tType ).
tff(type_def_22,type,
fun_Ar2040671475t_bool: $tType ).
tff(type_def_23,type,
fun_Ar2047178847t_bool: $tType ).
tff(type_def_24,type,
fun_Ar795681735le_alt: $tType ).
tff(type_def_25,type,
fun_bool_bool: $tType ).
tff(type_def_26,type,
fun_bo676255953i_bool: $tType ).
tff(type_def_27,type,
fun_bo478202017t_bool: $tType ).
tff(type_def_28,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_29,type,
fun_bo1613497205l_bool: $tType ).
tff(type_def_30,type,
fun_bo2136393469t_bool: $tType ).
tff(type_def_31,type,
fun_bo2138151889l_bool: $tType ).
tff(type_def_32,type,
fun_bo1803678369l_bool: $tType ).
tff(type_def_33,type,
fun_bo292969573t_bool: $tType ).
tff(type_def_34,type,
fun_bo230129725t_bool: $tType ).
tff(type_def_35,type,
fun_bo1156530537le_alt: $tType ).
tff(type_def_36,type,
fun_na1602142942e_indi: $tType ).
tff(type_def_37,type,
fun_nat_bool: $tType ).
tff(type_def_38,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_39,type,
fun_fu350122099l_bool: $tType ).
tff(type_def_40,type,
fun_fu892925833l_bool: $tType ).
tff(type_def_41,type,
fun_fu341524965i_bool: $tType ).
tff(type_def_42,type,
fun_fu932525193i_bool: $tType ).
tff(type_def_43,type,
fun_fu1845530641i_bool: $tType ).
tff(type_def_44,type,
fun_fu1605010205i_bool: $tType ).
tff(type_def_45,type,
fun_fu1103697397l_bool: $tType ).
tff(type_def_46,type,
fun_fu682929745l_bool: $tType ).
tff(type_def_47,type,
fun_fu2069019647e_indi: $tType ).
tff(type_def_48,type,
fun_fu103733537l_bool: $tType ).
tff(type_def_49,type,
fun_fu23838287i_bool: $tType ).
tff(type_def_50,type,
fun_fu658952305l_bool: $tType ).
tff(type_def_51,type,
fun_fu746839971l_bool: $tType ).
tff(type_def_52,type,
fun_fu50365883t_bool: $tType ).
tff(type_def_53,type,
fun_fu2085524157t_bool: $tType ).
tff(type_def_54,type,
fun_fu1255657237l_bool: $tType ).
tff(type_def_55,type,
fun_fu1159982633l_bool: $tType ).
tff(type_def_56,type,
fun_fu797886669l_bool: $tType ).
tff(type_def_57,type,
fun_fu1940222097l_bool: $tType ).
tff(type_def_58,type,
fun_fu1791463777l_bool: $tType ).
tff(type_def_59,type,
fun_fu132047767l_bool: $tType ).
tff(type_def_60,type,
fun_fu1655311859l_bool: $tType ).
tff(type_def_61,type,
fun_fu897278719l_bool: $tType ).
tff(type_def_62,type,
fun_fu2114498143t_bool: $tType ).
tff(type_def_63,type,
fun_fu243829175l_bool: $tType ).
tff(type_def_64,type,
fun_fu1019918867l_bool: $tType ).
tff(type_def_65,type,
fun_fu1884117237i_bool: $tType ).
tff(type_def_66,type,
fun_fu386577431l_bool: $tType ).
tff(type_def_67,type,
fun_fu337461969l_bool: $tType ).
tff(type_def_68,type,
fun_fu123258927l_bool: $tType ).
tff(type_def_69,type,
fun_fu698697681l_bool: $tType ).
tff(type_def_70,type,
fun_fu1743730523e_indi: $tType ).
tff(type_def_71,type,
fun_fu1251737213l_bool: $tType ).
tff(type_def_72,type,
fun_fu1950461939i_bool: $tType ).
tff(type_def_73,type,
fun_fu1734842389l_bool: $tType ).
tff(type_def_74,type,
fun_fu1904749695l_bool: $tType ).
tff(type_def_75,type,
fun_fu376055641l_bool: $tType ).
tff(type_def_76,type,
fun_fu1037822389l_bool: $tType ).
tff(type_def_77,type,
fun_fu664235509l_bool: $tType ).
tff(type_def_78,type,
fun_fu582883361l_bool: $tType ).
tff(type_def_79,type,
fun_fu881806519l_bool: $tType ).
tff(type_def_80,type,
fun_fu288602073l_bool: $tType ).
tff(type_def_81,type,
fun_fu1123909713i_bool: $tType ).
tff(type_def_82,type,
fun_fu304973171l_bool: $tType ).
tff(type_def_83,type,
fun_fu1740763529l_bool: $tType ).
tff(type_def_84,type,
fun_fu1786351335l_bool: $tType ).
tff(type_def_85,type,
fun_fu1536608137l_bool: $tType ).
tff(type_def_86,type,
fun_fu595758099l_bool: $tType ).
tff(type_def_87,type,
fun_fu2105385269l_bool: $tType ).
tff(type_def_88,type,
fun_fu1655733109l_bool: $tType ).
tff(type_def_89,type,
fun_fu1371820951l_bool: $tType ).
tff(type_def_90,type,
fun_fu278604415l_bool: $tType ).
tff(type_def_91,type,
fun_fu1083074431i_bool: $tType ).
tff(type_def_92,type,
fun_fu2011759009l_bool: $tType ).
tff(type_def_93,type,
fun_fu491357777l_bool: $tType ).
tff(type_def_94,type,
fun_fu1479273075l_bool: $tType ).
tff(type_def_95,type,
fun_fu890127093l_bool: $tType ).
tff(type_def_96,type,
fun_fu66812275l_bool: $tType ).
tff(type_def_97,type,
fun_fu662212797i_bool: $tType ).
tff(type_def_98,type,
fun_fu334384573e_indi: $tType ).
tff(type_def_99,type,
fun_fu383145951l_bool: $tType ).
tff(type_def_100,type,
fun_fu193278215t_bool: $tType ).
tff(type_def_101,type,
fun_fu1760369922t_bool: $tType ).
tff(type_def_102,type,
fun_fu1867632401i_bool: $tType ).
tff(type_def_103,type,
fun_fu1917018721t_bool: $tType ).
tff(type_def_104,type,
fun_fu1903211571l_bool: $tType ).
tff(type_def_105,type,
fun_fu1008469439t_bool: $tType ).
tff(type_def_106,type,
fun_fu1157966945l_bool: $tType ).
tff(type_def_107,type,
fun_fu1965119761t_bool: $tType ).
tff(type_def_108,type,
fun_fu148272765t_bool: $tType ).
tff(type_def_109,type,
fun_Pr506339783e_indi: $tType ).
tff(type_def_110,type,
fun_Pr1639951081t_bool: $tType ).
tff(type_def_111,type,
fun_Pr123985543i_bool: $tType ).
tff(type_def_112,type,
fun_Pr534938793l_bool: $tType ).
tff(type_def_113,type,
produc624534567le_alt: $tType ).
tff(func_def_0,type,
arrow_981905126le_IIA: fun_fu1251737213l_bool ).
tff(func_def_1,type,
arrow_1008788854le_Lin: fun_fu383145951l_bool ).
tff(func_def_2,type,
arrow_1880704820e_Prof: fun_fu103733537l_bool ).
tff(func_def_3,type,
arrow_2009189698_above: fun_fu193278215t_bool ).
tff(func_def_4,type,
arrow_1322316103ctator: fun_fu1950461939i_bool ).
tff(func_def_5,type,
arrow_1126550734_mkbot: fun_fu1760369922t_bool ).
tff(func_def_6,type,
arrow_1275257820_mktop: fun_fu1760369922t_bool ).
tff(func_def_7,type,
arrow_807483785nimity: fun_fu1251737213l_bool ).
tff(func_def_8,type,
cOMBB_124649523e_indi: ( fun_bo292969573t_bool * fun_Ar1871347069i_bool ) > fun_Ar2100459655t_bool ).
tff(func_def_9,type,
cOMBB_1514803447e_indi: ( fun_nat_fun_nat_bool * fun_Ar2035712896di_nat ) > fun_Ar156616864t_bool ).
tff(func_def_10,type,
cOMBB_715840641e_indi: ( fun_fu193278215t_bool * fun_Ar2047178847t_bool ) > fun_Ar2079322857t_bool ).
tff(func_def_11,type,
cOMBB_1932856316e_indi: ( fun_fu1760369922t_bool * fun_Ar2047178847t_bool ) > fun_Ar1757019876t_bool ).
tff(func_def_12,type,
cOMBC_1994570734t_bool: ( fun_Ar2079322857t_bool * arrow_1621810872le_alt ) > fun_Ar1757019876t_bool ).
tff(func_def_13,type,
cOMBC_377836265t_bool: ( fun_Ar1757019876t_bool * arrow_1621810872le_alt ) > fun_Ar2047178847t_bool ).
tff(func_def_14,type,
cOMBC_998415407t_bool: ( fun_Ar156616864t_bool * nat ) > fun_Ar1871347069i_bool ).
tff(func_def_15,type,
cOMBC_64563468t_bool: ( fun_Ar2100459655t_bool * fun_Pr1639951081t_bool ) > fun_Ar2040671475t_bool ).
tff(func_def_16,type,
cOMBC_1257424504t_bool: ( fun_Ar2040671475t_bool * fun_Pr1639951081t_bool ) > fun_Ar2047178847t_bool ).
tff(func_def_17,type,
cOMBK_206372180e_indi: fun_bo676255953i_bool ).
tff(func_def_18,type,
cOMBK_70145528t_bool: fun_bo1613497205l_bool ).
tff(func_def_19,type,
cOMBK_1362474068t_bool: fun_bo2138151889l_bool ).
tff(func_def_20,type,
cOMBK_1801013008t_bool: fun_bo1803678369l_bool ).
tff(func_def_21,type,
cOMBK_350462144le_alt: fun_bo230129725t_bool ).
tff(func_def_22,type,
cOMBK_269839822t_bool: fun_fu341524965i_bool ).
tff(func_def_23,type,
cOMBK_519762474t_bool: fun_fu932525193i_bool ).
tff(func_def_24,type,
cOMBK_1207925178t_bool: fun_fu1845530641i_bool ).
tff(func_def_25,type,
cOMBK_328807062le_alt: fun_fu1605010205i_bool ).
tff(func_def_26,type,
cOMBK_167511280t_bool: fun_fu1159982633l_bool ).
tff(func_def_27,type,
cOMBK_1853791052t_bool: fun_fu797886669l_bool ).
tff(func_def_28,type,
cOMBK_1838733848t_bool: fun_fu1940222097l_bool ).
tff(func_def_29,type,
cOMBK_290363320le_alt: fun_fu1791463777l_bool ).
tff(func_def_30,type,
cOMBK_30438862e_indi: fun_fu337461969l_bool ).
tff(func_def_31,type,
cOMBK_1481288432l_bool: fun_fu123258927l_bool ).
tff(func_def_32,type,
cOMBK_869185066e_indi: fun_fu1740763529l_bool ).
tff(func_def_33,type,
cOMBK_343479628l_bool: fun_fu1786351335l_bool ).
tff(func_def_34,type,
cOMBK_2098615510e_indi: fun_fu491357777l_bool ).
tff(func_def_35,type,
cOMBK_648664568l_bool: fun_fu1479273075l_bool ).
tff(func_def_36,type,
cOMBK_639770490t_bool: fun_fu890127093l_bool ).
tff(func_def_37,type,
cOMBK_164791446e_indi: fun_fu1917018721t_bool ).
tff(func_def_38,type,
cOMBK_1897375160l_bool: fun_fu1008469439t_bool ).
tff(func_def_39,type,
cOMBS_1833320732t_bool: ( fun_Ar2100459655t_bool * fun_Ar2047178847t_bool ) > fun_Ar2040671475t_bool ).
tff(func_def_40,type,
cOMBS_1688227464t_bool: ( fun_Ar2040671475t_bool * fun_Ar2047178847t_bool ) > fun_Ar2047178847t_bool ).
tff(func_def_41,type,
finite1317065577e_indi: fun_Ar1871347069i_bool > nat ).
tff(func_def_42,type,
inj_on1177549232di_nat: ( fun_Ar2035712896di_nat * fun_Ar1871347069i_bool ) > bool ).
tff(func_def_43,type,
pi_Arr1077238675t_bool: ( fun_Ar1871347069i_bool * fun_Ar1784032663l_bool ) > fun_fu1103697397l_bool ).
tff(func_def_44,type,
pi_Arr478149871t_bool: ( fun_Ar1871347069i_bool * fun_Ar884201459l_bool ) > fun_fu682929745l_bool ).
tff(func_def_45,type,
pi_Arr1358199477t_bool: ( fun_Ar1871347069i_bool * fun_Ar1821573119l_bool ) > fun_fu103733537l_bool ).
tff(func_def_46,type,
pi_Arr447918939le_alt: ( fun_Ar1871347069i_bool * fun_Ar2047178847t_bool ) > fun_fu2085524157t_bool ).
tff(func_def_47,type,
pi_boo2120406325t_bool: ( fun_bool_bool * fun_bo1613497205l_bool ) > fun_fu132047767l_bool ).
tff(func_def_48,type,
pi_boo853084305t_bool: ( fun_bool_bool * fun_bo2138151889l_bool ) > fun_fu1655311859l_bool ).
tff(func_def_49,type,
pi_boo683563155t_bool: ( fun_bool_bool * fun_bo1803678369l_bool ) > fun_fu897278719l_bool ).
tff(func_def_50,type,
pi_boo158890749le_alt: ( fun_bool_bool * fun_bo230129725t_bool ) > fun_fu2114498143t_bool ).
tff(func_def_51,type,
pi_fun1549517203e_indi: ( fun_fu103733537l_bool * fun_fu23838287i_bool ) > fun_fu1884117237i_bool ).
tff(func_def_52,type,
pi_fun953636405l_bool: ( fun_fu103733537l_bool * fun_fu658952305l_bool ) > fun_fu386577431l_bool ).
tff(func_def_53,type,
pi_fun456133649t_bool: ( fun_fu103733537l_bool * fun_fu746839971l_bool ) > fun_fu1251737213l_bool ).
tff(func_def_54,type,
pi_fun1545124079e_indi: ( fun_fu1251737213l_bool * fun_fu1950461939i_bool ) > fun_fu1123909713i_bool ).
tff(func_def_55,type,
pi_fun465500049l_bool: ( fun_fu1251737213l_bool * fun_fu1734842389l_bool ) > fun_fu304973171l_bool ).
tff(func_def_56,type,
pi_fun2132478361e_indi: ( fun_fu383145951l_bool * fun_fu1867632401i_bool ) > fun_fu1083074431i_bool ).
tff(func_def_57,type,
pi_fun779925307l_bool: ( fun_fu383145951l_bool * fun_fu1903211571l_bool ) > fun_fu2011759009l_bool ).
tff(func_def_58,type,
pi_Pro723839835e_indi: ( fun_Pr1639951081t_bool * fun_Pr123985543i_bool ) > fun_fu662212797i_bool ).
tff(func_def_59,type,
pi_Pro811330557t_bool: ( fun_Pr1639951081t_bool * fun_Pr534938793l_bool ) > fun_fu383145951l_bool ).
tff(func_def_60,type,
hilber797233813di_nat: ( fun_Ar1871347069i_bool * fun_Ar2035712896di_nat ) > fun_na1602142942e_indi ).
tff(func_def_61,type,
if_fun95824985t_bool: fun_bo292969573t_bool ).
tff(func_def_62,type,
ord_less_bool: fun_bo1549164019l_bool ).
tff(func_def_63,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(func_def_64,type,
ord_le287438291i_bool: fun_fu892925833l_bool ).
tff(func_def_65,type,
ord_le2059466615l_bool: fun_fu698697681l_bool ).
tff(func_def_66,type,
ord_le1419690707l_bool: fun_fu1536608137l_bool ).
tff(func_def_67,type,
ord_le1472193545l_bool: fun_fu66812275l_bool ).
tff(func_def_68,type,
ord_le1051050815t_bool: fun_fu1157966945l_bool ).
tff(func_def_69,type,
top_top_bool: bool ).
tff(func_def_70,type,
top_to850136695i_bool: fun_Ar1871347069i_bool ).
tff(func_def_71,type,
top_to1647826457l_bool: fun_bool_bool ).
tff(func_def_72,type,
top_to653038619l_bool: fun_fu103733537l_bool ).
tff(func_def_73,type,
top_to2127553399l_bool: fun_fu1251737213l_bool ).
tff(func_def_74,type,
top_to1057791589l_bool: fun_fu383145951l_bool ).
tff(func_def_75,type,
top_to710777827t_bool: fun_Pr1639951081t_bool ).
tff(func_def_76,type,
produc170576535le_alt: ( arrow_1621810872le_alt * arrow_1621810872le_alt ) > produc624534567le_alt ).
tff(func_def_77,type,
collec1241994086e_indi: fun_Ar1871347069i_bool > fun_Ar1871347069i_bool ).
tff(func_def_78,type,
collec861220362t_bool: fun_fu103733537l_bool > fun_fu103733537l_bool ).
tff(func_def_79,type,
collec154865254t_bool: fun_fu1251737213l_bool > fun_fu1251737213l_bool ).
tff(func_def_80,type,
collec1697917566t_bool: fun_fu383145951l_bool > fun_fu383145951l_bool ).
tff(func_def_81,type,
collec2140722898le_alt: fun_Pr1639951081t_bool > fun_Pr1639951081t_bool ).
tff(func_def_82,type,
fFalse: bool ).
tff(func_def_83,type,
fTrue: bool ).
tff(func_def_84,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(func_def_85,type,
hAPP_A272835723t_bool: ( fun_Ar154839667t_bool * arrow_1621810872le_alt ) > fun_Ar1822233582t_bool ).
tff(func_def_86,type,
hAPP_A476679046t_bool: ( fun_Ar1822233582t_bool * arrow_1621810872le_alt ) > fun_Pr1639951081t_bool ).
tff(func_def_87,type,
hAPP_A1059798043i_bool: ( fun_Ar1871347069i_bool * arrow_501706939e_indi ) > bool ).
tff(func_def_88,type,
hAPP_A1741215436di_nat: ( fun_Ar2035712896di_nat * arrow_501706939e_indi ) > nat ).
tff(func_def_89,type,
hAPP_A784015157t_bool: ( fun_Ar2079322857t_bool * arrow_501706939e_indi ) > fun_Ar154839667t_bool ).
tff(func_def_90,type,
hAPP_A711829680t_bool: ( fun_Ar1757019876t_bool * arrow_501706939e_indi ) > fun_Ar1822233582t_bool ).
tff(func_def_91,type,
hAPP_A1159468061t_bool: ( fun_Ar1200683263t_bool * arrow_501706939e_indi ) > fun_Ar2047178847t_bool ).
tff(func_def_92,type,
hAPP_A1239621182t_bool: ( fun_Ar156616864t_bool * arrow_501706939e_indi ) > fun_nat_bool ).
tff(func_def_93,type,
hAPP_A1790795747l_bool: ( fun_Ar1784032663l_bool * arrow_501706939e_indi ) > fun_fu103733537l_bool ).
tff(func_def_94,type,
hAPP_A1168502649t_bool: ( fun_Ar1570071899t_bool * arrow_501706939e_indi ) > fun_fu50365883t_bool ).
tff(func_def_95,type,
hAPP_A107624255l_bool: ( fun_Ar884201459l_bool * arrow_501706939e_indi ) > fun_fu1251737213l_bool ).
tff(func_def_96,type,
hAPP_A1710743709l_bool: ( fun_Ar1821573119l_bool * arrow_501706939e_indi ) > fun_fu383145951l_bool ).
tff(func_def_97,type,
hAPP_A1985966547t_bool: ( fun_Ar2100459655t_bool * arrow_501706939e_indi ) > fun_fu1965119761t_bool ).
tff(func_def_98,type,
hAPP_A301260095t_bool: ( fun_Ar2040671475t_bool * arrow_501706939e_indi ) > fun_fu148272765t_bool ).
tff(func_def_99,type,
hAPP_A2044747691t_bool: ( fun_Ar2047178847t_bool * arrow_501706939e_indi ) > fun_Pr1639951081t_bool ).
tff(func_def_100,type,
hAPP_A2034733541le_alt: ( fun_Ar795681735le_alt * arrow_501706939e_indi ) > produc624534567le_alt ).
tff(func_def_101,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_102,type,
hAPP_b611520797i_bool: ( fun_bo676255953i_bool * bool ) > fun_Ar1871347069i_bool ).
tff(func_def_103,type,
hAPP_b114674879t_bool: ( fun_bo478202017t_bool * bool ) > fun_Ar2047178847t_bool ).
tff(func_def_104,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_105,type,
hAPP_b1178471617l_bool: ( fun_bo1613497205l_bool * bool ) > fun_fu103733537l_bool ).
tff(func_def_106,type,
hAPP_b1112685083t_bool: ( fun_bo2136393469t_bool * bool ) > fun_fu50365883t_bool ).
tff(func_def_107,type,
hAPP_b930206237l_bool: ( fun_bo2138151889l_bool * bool ) > fun_fu1251737213l_bool ).
tff(func_def_108,type,
hAPP_b1017527359l_bool: ( fun_bo1803678369l_bool * bool ) > fun_fu383145951l_bool ).
tff(func_def_109,type,
hAPP_b1702702257t_bool: ( fun_bo292969573t_bool * bool ) > fun_fu1965119761t_bool ).
tff(func_def_110,type,
hAPP_b1848524425t_bool: ( fun_bo230129725t_bool * bool ) > fun_Pr1639951081t_bool ).
tff(func_def_111,type,
hAPP_b98736263le_alt: ( fun_bo1156530537le_alt * bool ) > produc624534567le_alt ).
tff(func_def_112,type,
hAPP_n1582158000e_indi: ( fun_na1602142942e_indi * nat ) > arrow_501706939e_indi ).
tff(func_def_113,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_114,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_115,type,
hAPP_f90330565l_bool: ( fun_fu350122099l_bool * fun_Ar1871347069i_bool ) > bool ).
tff(func_def_116,type,
hAPP_f1993665755l_bool: ( fun_fu892925833l_bool * fun_Ar1871347069i_bool ) > fun_fu350122099l_bool ).
tff(func_def_117,type,
hAPP_f823592631i_bool: ( fun_fu341524965i_bool * fun_Ar1871347069i_bool ) > fun_fu23838287i_bool ).
tff(func_def_118,type,
hAPP_f1224613979i_bool: ( fun_fu932525193i_bool * fun_Ar1871347069i_bool ) > fun_fu1950461939i_bool ).
tff(func_def_119,type,
hAPP_f1364159657i_bool: ( fun_fu1845530641i_bool * fun_Ar1871347069i_bool ) > fun_fu1867632401i_bool ).
tff(func_def_120,type,
hAPP_f1561296623i_bool: ( fun_fu1605010205i_bool * fun_Ar1871347069i_bool ) > fun_Pr123985543i_bool ).
tff(func_def_121,type,
hAPP_f1631746589e_indi: ( fun_fu2069019647e_indi * fun_Ar2047178847t_bool ) > arrow_501706939e_indi ).
tff(func_def_122,type,
hAPP_f1095388607l_bool: ( fun_fu103733537l_bool * fun_Ar2047178847t_bool ) > bool ).
tff(func_def_123,type,
hAPP_f1511451035i_bool: ( fun_fu23838287i_bool * fun_Ar2047178847t_bool ) > fun_Ar1871347069i_bool ).
tff(func_def_124,type,
hAPP_f1418708797l_bool: ( fun_fu658952305l_bool * fun_Ar2047178847t_bool ) > fun_bool_bool ).
tff(func_def_125,type,
hAPP_f1265202753l_bool: ( fun_fu746839971l_bool * fun_Ar2047178847t_bool ) > fun_fu383145951l_bool ).
tff(func_def_126,type,
hAPP_f718157575t_bool: ( fun_fu50365883t_bool * fun_Ar2047178847t_bool ) > fun_Pr1639951081t_bool ).
tff(func_def_127,type,
hAPP_f387058535l_bool: ( fun_fu1255657237l_bool * fun_bool_bool ) > bool ).
tff(func_def_128,type,
hAPP_f1325493883l_bool: ( fun_fu1159982633l_bool * fun_bool_bool ) > fun_fu658952305l_bool ).
tff(func_def_129,type,
hAPP_f1364914207l_bool: ( fun_fu797886669l_bool * fun_bool_bool ) > fun_fu1734842389l_bool ).
tff(func_def_130,type,
hAPP_f1230984105l_bool: ( fun_fu1940222097l_bool * fun_bool_bool ) > fun_fu1903211571l_bool ).
tff(func_def_131,type,
hAPP_f1601816755l_bool: ( fun_fu1791463777l_bool * fun_bool_bool ) > fun_Pr534938793l_bool ).
tff(func_def_132,type,
hAPP_f1753158741l_bool: ( fun_fu243829175l_bool * fun_fu1103697397l_bool ) > bool ).
tff(func_def_133,type,
hAPP_f598211249l_bool: ( fun_fu1019918867l_bool * fun_fu682929745l_bool ) > bool ).
tff(func_def_134,type,
hAPP_f1237345129l_bool: ( fun_fu386577431l_bool * fun_fu103733537l_bool ) > bool ).
tff(func_def_135,type,
hAPP_f466810275l_bool: ( fun_fu337461969l_bool * fun_fu103733537l_bool ) > fun_Ar1784032663l_bool ).
tff(func_def_136,type,
hAPP_f2013855105l_bool: ( fun_fu123258927l_bool * fun_fu103733537l_bool ) > fun_bo1613497205l_bool ).
tff(func_def_137,type,
hAPP_f786935331l_bool: ( fun_fu698697681l_bool * fun_fu103733537l_bool ) > fun_fu386577431l_bool ).
tff(func_def_138,type,
hAPP_f87993209e_indi: ( fun_fu1743730523e_indi * fun_fu50365883t_bool ) > arrow_501706939e_indi ).
tff(func_def_139,type,
hAPP_f725100827l_bool: ( fun_fu1251737213l_bool * fun_fu50365883t_bool ) > bool ).
tff(func_def_140,type,
hAPP_f1559864639i_bool: ( fun_fu1950461939i_bool * fun_fu50365883t_bool ) > fun_Ar1871347069i_bool ).
tff(func_def_141,type,
hAPP_f626809057l_bool: ( fun_fu1734842389l_bool * fun_fu50365883t_bool ) > fun_bool_bool ).
tff(func_def_142,type,
hAPP_f748921117l_bool: ( fun_fu1904749695l_bool * fun_fu2085524157t_bool ) > bool ).
tff(func_def_143,type,
hAPP_f1481710327l_bool: ( fun_fu376055641l_bool * fun_fu132047767l_bool ) > bool ).
tff(func_def_144,type,
hAPP_f759862099l_bool: ( fun_fu1037822389l_bool * fun_fu1655311859l_bool ) > bool ).
tff(func_def_145,type,
hAPP_f639792199l_bool: ( fun_fu664235509l_bool * fun_fu897278719l_bool ) > bool ).
tff(func_def_146,type,
hAPP_f899216831l_bool: ( fun_fu582883361l_bool * fun_fu2114498143t_bool ) > bool ).
tff(func_def_147,type,
hAPP_f243652437l_bool: ( fun_fu881806519l_bool * fun_fu1884117237i_bool ) > bool ).
tff(func_def_148,type,
hAPP_f1394256759l_bool: ( fun_fu288602073l_bool * fun_fu386577431l_bool ) > bool ).
tff(func_def_149,type,
hAPP_f1435434693l_bool: ( fun_fu304973171l_bool * fun_fu1251737213l_bool ) > bool ).
tff(func_def_150,type,
hAPP_f544895323l_bool: ( fun_fu1740763529l_bool * fun_fu1251737213l_bool ) > fun_Ar884201459l_bool ).
tff(func_def_151,type,
hAPP_f989466937l_bool: ( fun_fu1786351335l_bool * fun_fu1251737213l_bool ) > fun_bo2138151889l_bool ).
tff(func_def_152,type,
hAPP_f1303771867l_bool: ( fun_fu1536608137l_bool * fun_fu1251737213l_bool ) > fun_fu304973171l_bool ).
tff(func_def_153,type,
hAPP_f174050481l_bool: ( fun_fu595758099l_bool * fun_fu1123909713i_bool ) > bool ).
tff(func_def_154,type,
hAPP_f1827424979l_bool: ( fun_fu2105385269l_bool * fun_fu304973171l_bool ) > bool ).
tff(func_def_155,type,
hAPP_f359017159l_bool: ( fun_fu1655733109l_bool * fun_fu1083074431i_bool ) > bool ).
tff(func_def_156,type,
hAPP_f1347377641l_bool: ( fun_fu1371820951l_bool * fun_fu2011759009l_bool ) > bool ).
tff(func_def_157,type,
hAPP_f1270259485l_bool: ( fun_fu278604415l_bool * fun_fu662212797i_bool ) > bool ).
tff(func_def_158,type,
hAPP_f180608831l_bool: ( fun_fu2011759009l_bool * fun_fu383145951l_bool ) > bool ).
tff(func_def_159,type,
hAPP_f1651042461l_bool: ( fun_fu491357777l_bool * fun_fu383145951l_bool ) > fun_Ar1821573119l_bool ).
tff(func_def_160,type,
hAPP_f71505983l_bool: ( fun_fu1479273075l_bool * fun_fu383145951l_bool ) > fun_bo1803678369l_bool ).
tff(func_def_161,type,
hAPP_f459175489l_bool: ( fun_fu890127093l_bool * fun_fu383145951l_bool ) > fun_fu746839971l_bool ).
tff(func_def_162,type,
hAPP_f279586623l_bool: ( fun_fu66812275l_bool * fun_fu383145951l_bool ) > fun_fu2011759009l_bool ).
tff(func_def_163,type,
hAPP_f671542927e_indi: ( fun_fu334384573e_indi * fun_Pr1639951081t_bool ) > arrow_501706939e_indi ).
tff(func_def_164,type,
hAPP_f1944886577l_bool: ( fun_fu383145951l_bool * fun_Pr1639951081t_bool ) > bool ).
tff(func_def_165,type,
hAPP_f1560118175t_bool: ( fun_fu193278215t_bool * fun_Pr1639951081t_bool ) > fun_Ar154839667t_bool ).
tff(func_def_166,type,
hAPP_f1699392794t_bool: ( fun_fu1760369922t_bool * fun_Pr1639951081t_bool ) > fun_Ar1822233582t_bool ).
tff(func_def_167,type,
hAPP_f906860201i_bool: ( fun_fu1867632401i_bool * fun_Pr1639951081t_bool ) > fun_Ar1871347069i_bool ).
tff(func_def_168,type,
hAPP_f1172974131t_bool: ( fun_fu1917018721t_bool * fun_Pr1639951081t_bool ) > fun_Ar2047178847t_bool ).
tff(func_def_169,type,
hAPP_f2128533835l_bool: ( fun_fu1903211571l_bool * fun_Pr1639951081t_bool ) > fun_bool_bool ).
tff(func_def_170,type,
hAPP_f1758973969t_bool: ( fun_fu1008469439t_bool * fun_Pr1639951081t_bool ) > fun_bo230129725t_bool ).
tff(func_def_171,type,
hAPP_f1911990195l_bool: ( fun_fu1157966945l_bool * fun_Pr1639951081t_bool ) > fun_fu383145951l_bool ).
tff(func_def_172,type,
hAPP_f910728105t_bool: ( fun_fu1965119761t_bool * fun_Pr1639951081t_bool ) > fun_fu148272765t_bool ).
tff(func_def_173,type,
hAPP_f727188501t_bool: ( fun_fu148272765t_bool * fun_Pr1639951081t_bool ) > fun_Pr1639951081t_bool ).
tff(func_def_174,type,
hAPP_P163170789e_indi: ( fun_Pr506339783e_indi * produc624534567le_alt ) > arrow_501706939e_indi ).
tff(func_def_175,type,
hAPP_P751176071t_bool: ( fun_Pr1639951081t_bool * produc624534567le_alt ) > bool ).
tff(func_def_176,type,
hAPP_P259956691i_bool: ( fun_Pr123985543i_bool * produc624534567le_alt ) > fun_Ar1871347069i_bool ).
tff(func_def_177,type,
hAPP_P2005668213l_bool: ( fun_Pr534938793l_bool * produc624534567le_alt ) > fun_bool_bool ).
tff(func_def_178,type,
member1124131880e_indi: arrow_501706939e_indi > fun_fu350122099l_bool ).
tff(func_def_179,type,
member_bool: bool > fun_fu1255657237l_bool ).
tff(func_def_180,type,
member1701178322t_bool: fun_Ar1200683263t_bool > fun_fu243829175l_bool ).
tff(func_def_181,type,
member2069173038t_bool: fun_Ar1570071899t_bool > fun_fu1019918867l_bool ).
tff(func_def_182,type,
member558395596t_bool: fun_Ar2047178847t_bool > fun_fu386577431l_bool ).
tff(func_def_183,type,
member844573594le_alt: fun_Ar795681735le_alt > fun_fu1904749695l_bool ).
tff(func_def_184,type,
member1494646772t_bool: fun_bo478202017t_bool > fun_fu376055641l_bool ).
tff(func_def_185,type,
member1211611472t_bool: fun_bo2136393469t_bool > fun_fu1037822389l_bool ).
tff(func_def_186,type,
member2079888426t_bool: fun_bo230129725t_bool > fun_fu664235509l_bool ).
tff(func_def_187,type,
member158436796le_alt: fun_bo1156530537le_alt > fun_fu582883361l_bool ).
tff(func_def_188,type,
member422031058e_indi: fun_fu2069019647e_indi > fun_fu881806519l_bool ).
tff(func_def_189,type,
member1120178292l_bool: fun_fu103733537l_bool > fun_fu288602073l_bool ).
tff(func_def_190,type,
member256508712t_bool: fun_fu50365883t_bool > fun_fu304973171l_bool ).
tff(func_def_191,type,
member95348014e_indi: fun_fu1743730523e_indi > fun_fu595758099l_bool ).
tff(func_def_192,type,
member326955216l_bool: fun_fu1251737213l_bool > fun_fu2105385269l_bool ).
tff(func_def_193,type,
member993084970e_indi: fun_fu334384573e_indi > fun_fu1655733109l_bool ).
tff(func_def_194,type,
member85421004l_bool: fun_fu383145951l_bool > fun_fu1371820951l_bool ).
tff(func_def_195,type,
member555231642e_indi: fun_Pr506339783e_indi > fun_fu278604415l_bool ).
tff(func_def_196,type,
member641857340t_bool: fun_Pr1639951081t_bool > fun_fu2011759009l_bool ).
tff(func_def_197,type,
member1484933012le_alt: produc624534567le_alt > fun_fu383145951l_bool ).
tff(func_def_198,type,
f: fun_fu50365883t_bool ).
tff(func_def_199,type,
lab: fun_Pr1639951081t_bool ).
tff(func_def_200,type,
lba: fun_Pr1639951081t_bool ).
tff(func_def_201,type,
p: fun_Ar2047178847t_bool ).
tff(func_def_202,type,
a: arrow_1621810872le_alt ).
tff(func_def_203,type,
b: arrow_1621810872le_alt ).
tff(func_def_204,type,
c: arrow_1621810872le_alt ).
tff(func_def_205,type,
d: arrow_1621810872le_alt ).
tff(func_def_206,type,
e: arrow_1621810872le_alt ).
tff(func_def_207,type,
h: fun_Ar2035712896di_nat ).
tff(func_def_208,type,
n: nat ).
tff(func_def_209,type,
sK5: ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(func_def_210,type,
sK6: ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(func_def_211,type,
sK7: ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(func_def_212,type,
sK8: ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(func_def_213,type,
sK9: ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(func_def_214,type,
sK10: fun_Pr1639951081t_bool > arrow_1621810872le_alt ).
tff(func_def_215,type,
sK11: fun_Pr1639951081t_bool > arrow_1621810872le_alt ).
tff(func_def_216,type,
sK12: fun_Pr1639951081t_bool > produc624534567le_alt ).
tff(func_def_217,type,
sK13: fun_fu50365883t_bool > fun_Ar2047178847t_bool ).
tff(func_def_218,type,
sK14: fun_fu50365883t_bool > fun_Ar2047178847t_bool ).
tff(func_def_219,type,
sK15: fun_fu50365883t_bool > arrow_1621810872le_alt ).
tff(func_def_220,type,
sK16: fun_fu50365883t_bool > arrow_1621810872le_alt ).
tff(func_def_221,type,
sK17: ( fun_Ar2047178847t_bool * fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(func_def_222,type,
sK18: fun_fu50365883t_bool > fun_Ar2047178847t_bool ).
tff(func_def_223,type,
sK19: fun_fu50365883t_bool > arrow_1621810872le_alt ).
tff(func_def_224,type,
sK20: fun_fu50365883t_bool > arrow_1621810872le_alt ).
tff(func_def_225,type,
sK21: ( fun_Ar2047178847t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt ) > arrow_501706939e_indi ).
tff(func_def_226,type,
sK22: ( fun_Pr1639951081t_bool * fun_Pr1639951081t_bool ) > arrow_1621810872le_alt ).
tff(func_def_227,type,
sK23: ( fun_Pr1639951081t_bool * fun_Pr1639951081t_bool ) > arrow_1621810872le_alt ).
tff(func_def_228,type,
sK24: ( fun_Ar2035712896di_nat * fun_Ar1871347069i_bool ) > arrow_501706939e_indi ).
tff(func_def_229,type,
sK25: ( fun_Ar2035712896di_nat * fun_Ar1871347069i_bool ) > arrow_501706939e_indi ).
tff(func_def_230,type,
sK26: ( fun_na1602142942e_indi * fun_Ar2035712896di_nat ) > nat ).
tff(func_def_231,type,
sK27: fun_Ar2035712896di_nat > arrow_501706939e_indi ).
tff(func_def_232,type,
sK28: fun_Ar2035712896di_nat > arrow_501706939e_indi ).
tff(func_def_233,type,
sK29: ( arrow_501706939e_indi * fun_fu50365883t_bool ) > fun_Ar2047178847t_bool ).
tff(func_def_234,type,
sK30: ( arrow_501706939e_indi * fun_fu50365883t_bool ) > arrow_1621810872le_alt ).
tff(func_def_235,type,
sK31: ( arrow_501706939e_indi * fun_fu50365883t_bool ) > arrow_1621810872le_alt ).
tff(func_def_236,type,
sK32: ( arrow_1621810872le_alt * arrow_1621810872le_alt ) > fun_Pr1639951081t_bool ).
tff(func_def_237,type,
sK33: ( fun_fu50365883t_bool * arrow_501706939e_indi ) > fun_Ar2047178847t_bool ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP0: arrow_501706939e_indi > $o ).
tff(pred_def_3,type,
sP1: fun_fu50365883t_bool > $o ).
tff(pred_def_4,type,
sP2: ( arrow_1621810872le_alt * arrow_1621810872le_alt * fun_Pr1639951081t_bool * arrow_1621810872le_alt * arrow_1621810872le_alt ) > $o ).
tff(pred_def_5,type,
sP3: arrow_501706939e_indi > $o ).
tff(pred_def_6,type,
sP4: arrow_501706939e_indi > $o ).
tff(f14,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/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
tff(f15,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/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).
tff(f239,conjecture,
hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f240,negated_conjecture,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
inference(negated_conjecture,[status(cth)],[f239]) ).
tff(f241,plain,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
inference(flattening,[],[f240]) ).
tff(f474,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)))))) )
& ( 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))))))
| ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f586,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(cnf_transformation,[],[f14]) ).
tff(f588,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(cnf_transformation,[],[f474]) ).
tff(f901,plain,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
inference(cnf_transformation,[],[f241]) ).
tff(f963,plain,
$false,
inference(global_subsumption,[],[f586,f588,f901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT171_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n002.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 23:59:21 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % (4020649)Will run a generic schedule for satisfiability detection.
% 0.20/0.52 % (4020658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3512422651:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.52 % (4020656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1729436831_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.52 % (4020657)% WARNING: option uhcvi not known.
% 0.20/0.52 % (4020658) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4020649-4020658"...
% 0.20/0.52 % (4020661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2034888749:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.52 % (4020657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2796855265:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.52 % (4020662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2216543766:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.52 % (4020660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2453659310:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.52 % (4020659)dis+10_1_sil=32000:sp=arity:random_seed=1017132640:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.52 % (4020658)...printing done.
% 0.20/0.52 % (4020658)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (4020658)------------------------------
% 0.20/0.52 % (4020658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.52 % (4020658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.52 % (4020658)CaDiCaL version: 2.1.3
% 0.20/0.52 % (4020658)Termination reason: Refutation
% 0.20/0.52 % (4020658)Time elapsed: 0.015 s
% 0.20/0.52 % (4020658)Peak memory usage: 12 MB
% 0.20/0.52 % (4020658)Instructions burned: 29 (million)
% 0.20/0.52 % (4020649)Success in time 0.065 s
% 0.20/0.52 % Vampire exiting
%------------------------------------------------------------------------------