TSTP Solution File: ITP222_1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : ITP222_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %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 : 300s
% DateTime : Mon May 20 22:28:31 EDT 2024
% Result : Theorem 15.08s 5.54s
% Output : Refutation 15.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 404
% Syntax : Number of formulae : 410 ( 8 unt; 402 typ; 0 def)
% Number of atoms : 8 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 17 ( 3 ~; 0 |; 0 &; 14 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 399 ( 399 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(fun_Pr7353992663003996845m_bool_type,type,
fun_Pr7353992663003996845m_bool: $tType ).
thf(fun_Pr4617804334418790189t_bool_type,type,
fun_Pr4617804334418790189t_bool: $tType ).
thf(fun_fu365010997111080675t_bool_type,type,
fun_fu365010997111080675t_bool: $tType ).
thf(fun_fu4800041728187187127nteger_type,type,
fun_fu4800041728187187127nteger: $tType ).
thf(fun_bo8333701921597992569l_char_type,type,
fun_bo8333701921597992569l_char: $tType ).
thf(fun_Co1561183069634336733nteger_type,type,
fun_Co1561183069634336733nteger: $tType ).
thf(fun_fu3898734532474705027nt_int_type,type,
fun_fu3898734532474705027nt_int: $tType ).
thf(fun_Pr5442483421567724333t_bool_type,type,
fun_Pr5442483421567724333t_bool: $tType ).
thf(fun_bo397793325678485071l_char_type,type,
fun_bo397793325678485071l_char: $tType ).
thf(fun_op5682630191948829869t_bool_type,type,
fun_op5682630191948829869t_bool: $tType ).
thf(fun_Pr2477239776880934807at_nat_type,type,
fun_Pr2477239776880934807at_nat: $tType ).
thf(produc8114805097830739791at_num_type,type,
produc8114805097830739791at_num: $tType ).
thf(produc9217583074051984497at_nat_type,type,
produc9217583074051984497at_nat: $tType ).
thf(fun_Pr5876161306168176259nteger_type,type,
fun_Pr5876161306168176259nteger: $tType ).
thf(fun_Pr817965127378462947t_bool_type,type,
fun_Pr817965127378462947t_bool: $tType ).
thf(fun_bo8101500534245302755l_char_type,type,
fun_bo8101500534245302755l_char: $tType ).
thf(fun_fu5241435528817219169t_bool_type,type,
fun_fu5241435528817219169t_bool: $tType ).
thf(fun_fu2983679652716955429nt_int_type,type,
fun_fu2983679652716955429nt_int: $tType ).
thf(fun_fu717549361983437348nt_int_type,type,
fun_fu717549361983437348nt_int: $tType ).
thf(fun_fu918106826131887214nt_int_type,type,
fun_fu918106826131887214nt_int: $tType ).
thf(fun_fu6897202038601531823t_bool_type,type,
fun_fu6897202038601531823t_bool: $tType ).
thf(fun_fu3064074204415222357nt_int_type,type,
fun_fu3064074204415222357nt_int: $tType ).
thf(fun_Pr557098546508347797at_nat_type,type,
fun_Pr557098546508347797at_nat: $tType ).
thf(fun_na1668100129766719005at_nat_type,type,
fun_na1668100129766719005at_nat: $tType ).
thf(fun_Co2470855966376689427nteger_type,type,
fun_Co2470855966376689427nteger: $tType ).
thf(fun_fu3612569900928539882l_real_type,type,
fun_fu3612569900928539882l_real: $tType ).
thf(fun_li8232715659020003717t_bool_type,type,
fun_li8232715659020003717t_bool: $tType ).
thf(fun_fu7109581867628470992d_enat_type,type,
fun_fu7109581867628470992d_enat: $tType ).
thf(fun_fu2950424802767353155m_bool_type,type,
fun_fu2950424802767353155m_bool: $tType ).
thf(fun_fu7164412255009898145t_bool_type,type,
fun_fu7164412255009898145t_bool: $tType ).
thf(fun_fu3593947265352647275omplex_type,type,
fun_fu3593947265352647275omplex: $tType ).
thf(fun_bo252359628945711929l_char_type,type,
fun_bo252359628945711929l_char: $tType ).
thf(fun_Co3025358997185726883r_bool_type,type,
fun_Co3025358997185726883r_bool: $tType ).
thf(fun_op775672374849087042m_bool_type,type,
fun_op775672374849087042m_bool: $tType ).
thf(fun_op7732454363416259258t_bool_type,type,
fun_op7732454363416259258t_bool: $tType ).
thf(fun_fu7919257609373989805t_bool_type,type,
fun_fu7919257609373989805t_bool: $tType ).
thf(fun_Pr5837708615769641901m_bool_type,type,
fun_Pr5837708615769641901m_bool: $tType ).
thf(fun_Pr248683899324676269t_bool_type,type,
fun_Pr248683899324676269t_bool: $tType ).
thf(fun_Pr3099820731930151597t_bool_type,type,
fun_Pr3099820731930151597t_bool: $tType ).
thf(fun_na8713714802964096592at_nat_type,type,
fun_na8713714802964096592at_nat: $tType ).
thf(fun_co3732688428756473980omplex_type,type,
fun_co3732688428756473980omplex: $tType ).
thf(fun_fu1620311477532340197t_real_type,type,
fun_fu1620311477532340197t_real: $tType ).
thf(fun_Co5829112669645303765r_bool_type,type,
fun_Co5829112669645303765r_bool: $tType ).
thf(fun_fu691032689367502339t_bool_type,type,
fun_fu691032689367502339t_bool: $tType ).
thf(fun_fu122198335894243788t_bool_type,type,
fun_fu122198335894243788t_bool: $tType ).
thf(fun_fu5340484500765211138nt_int_type,type,
fun_fu5340484500765211138nt_int: $tType ).
thf(fun_fu6579618355643354601at_rat_type,type,
fun_fu6579618355643354601at_rat: $tType ).
thf(fun_fu5935951186182374353at_nat_type,type,
fun_fu5935951186182374353at_nat: $tType ).
thf(fun_fu960360787657196261at_int_type,type,
fun_fu960360787657196261at_int: $tType ).
thf(fun_fu6652553491520710942omplex_type,type,
fun_fu6652553491520710942omplex: $tType ).
thf(fun_fu6092417073193843705nt_int_type,type,
fun_fu6092417073193843705nt_int: $tType ).
thf(fun_fu689363623238371998omplex_type,type,
fun_fu689363623238371998omplex: $tType ).
thf(fun_Co8502721031311864414nteger_type,type,
fun_Co8502721031311864414nteger: $tType ).
thf(fun_bo250947935745040205l_char_type,type,
fun_bo250947935745040205l_char: $tType ).
thf(fun_Pr5765855711896469291t_bool_type,type,
fun_Pr5765855711896469291t_bool: $tType ).
thf(fun_na4786964484885125043t_bool_type,type,
fun_na4786964484885125043t_bool: $tType ).
thf(fun_na4143055713577223196at_nat_type,type,
fun_na4143055713577223196at_nat: $tType ).
thf(fun_in2204242111582549184nt_int_type,type,
fun_in2204242111582549184nt_int: $tType ).
thf(fun_Co6597186368970283863nteger_type,type,
fun_Co6597186368970283863nteger: $tType ).
thf(fun_fu847012557204443036omplex_type,type,
fun_fu847012557204443036omplex: $tType ).
thf(fun_fu7808106308057563584omplex_type,type,
fun_fu7808106308057563584omplex: $tType ).
thf(fun_fu548005486562463553t_bool_type,type,
fun_fu548005486562463553t_bool: $tType ).
thf(fun_fu4528473944208963392omplex_type,type,
fun_fu4528473944208963392omplex: $tType ).
thf(fun_fu6465309499045537820omplex_type,type,
fun_fu6465309499045537820omplex: $tType ).
thf(fun_fu8896558304183883993l_bool_type,type,
fun_fu8896558304183883993l_bool: $tType ).
thf(fun_fu8303687057036190147t_bool_type,type,
fun_fu8303687057036190147t_bool: $tType ).
thf(fun_Pr2118491707810114563at_nat_type,type,
fun_Pr2118491707810114563at_nat: $tType ).
thf(fun_Pr2478283820680522243nt_int_type,type,
fun_Pr2478283820680522243nt_int: $tType ).
thf(fun_fu7426956082801719578t_real_type,type,
fun_fu7426956082801719578t_real: $tType ).
thf(fun_re3844104906058862192omplex_type,type,
fun_re3844104906058862192omplex: $tType ).
thf(fun_fu7495562154832025027t_bool_type,type,
fun_fu7495562154832025027t_bool: $tType ).
thf(fun_fu5956788528830221615omplex_type,type,
fun_fu5956788528830221615omplex: $tType ).
thf(fun_re6135230694098607860t_real_type,type,
fun_re6135230694098607860t_real: $tType ).
thf(fun_fu5104398059618711576t_real_type,type,
fun_fu5104398059618711576t_real: $tType ).
thf(fun_fu5589980185390252312t_real_type,type,
fun_fu5589980185390252312t_real: $tType ).
thf(fun_fu8064956510386623256t_real_type,type,
fun_fu8064956510386623256t_real: $tType ).
thf(fun_se7035039998181355731t_bool_type,type,
fun_se7035039998181355731t_bool: $tType ).
thf(fun_fu2115079063411676732t_real_type,type,
fun_fu2115079063411676732t_real: $tType ).
thf(fun_fu163975356400620604t_real_type,type,
fun_fu163975356400620604t_real: $tType ).
thf(fun_fu7141299348810748056t_real_type,type,
fun_fu7141299348810748056t_real: $tType ).
thf(fun_Co7333321365496032713r_bool_type,type,
fun_Co7333321365496032713r_bool: $tType ).
thf(fun_VE7346385682144900493T_bool_type,type,
fun_VE7346385682144900493T_bool: $tType ).
thf(fun_Ex8979681104671372885d_enat_type,type,
fun_Ex8979681104671372885d_enat: $tType ).
thf(fun_se1925730536474940935t_bool_type,type,
fun_se1925730536474940935t_bool: $tType ).
thf(fun_co5569667503370367512x_bool_type,type,
fun_co5569667503370367512x_bool: $tType ).
thf(set_fi4554929511873752355omplex_type,type,
set_fi4554929511873752355omplex: $tType ).
thf(fun_fu7979797992566127108at_nat_type,type,
fun_fu7979797992566127108at_nat: $tType ).
thf(fun_fu4710970720072501148at_rat_type,type,
fun_fu4710970720072501148at_rat: $tType ).
thf(fun_fu6228432884689642900at_rat_type,type,
fun_fu6228432884689642900at_rat: $tType ).
thf(fun_fu4413992040155564420at_nat_type,type,
fun_fu4413992040155564420at_nat: $tType ).
thf(fun_fu1567874110255095356at_int_type,type,
fun_fu1567874110255095356at_int: $tType ).
thf(fun_fu5519318738670804632at_int_type,type,
fun_fu5519318738670804632at_int: $tType ).
thf(fun_fu688336635129761048at_int_type,type,
fun_fu688336635129761048at_int: $tType ).
thf(fun_ra8505079968215247908at_rat_type,type,
fun_ra8505079968215247908at_rat: $tType ).
thf(fun_co6147893885205795665omplex_type,type,
fun_co6147893885205795665omplex: $tType ).
thf(fun_Co1981900195452921617nteger_type,type,
fun_Co1981900195452921617nteger: $tType ).
thf(fun_re5512370375968561900l_real_type,type,
fun_re5512370375968561900l_real: $tType ).
thf(list_P7413028617227757229T_VEBT_type,type,
list_P7413028617227757229T_VEBT: $tType ).
thf(fun_bo8295548925090689571l_char_type,type,
fun_bo8295548925090689571l_char: $tType ).
thf(fun_fu6632204024059385003l_bool_type,type,
fun_fu6632204024059385003l_bool: $tType ).
thf(fun_fu8995377147169173345l_bool_type,type,
fun_fu8995377147169173345l_bool: $tType ).
thf(fun_fu5641360819561228055l_bool_type,type,
fun_fu5641360819561228055l_bool: $tType ).
thf(fun_fu4264586804747991503l_bool_type,type,
fun_fu4264586804747991503l_bool: $tType ).
thf(fun_op1962577433978643573m_bool_type,type,
fun_op1962577433978643573m_bool: $tType ).
thf(fun_na4827981024643048934t_bool_type,type,
fun_na4827981024643048934t_bool: $tType ).
thf(fun_nu4037332675543032467um_num_type,type,
fun_nu4037332675543032467um_num: $tType ).
thf(fun_na157340750583166227at_num_type,type,
fun_na157340750583166227at_num: $tType ).
thf(fun_na4138050610385705875at_nat_type,type,
fun_na4138050610385705875at_nat: $tType ).
thf(fun_in1696471567231710611nt_int_type,type,
fun_in1696471567231710611nt_int: $tType ).
thf(fun_bo2529700319477787143l_bool_type,type,
fun_bo2529700319477787143l_bool: $tType ).
thf(fun_fu5204410621998794179x_bool_type,type,
fun_fu5204410621998794179x_bool: $tType ).
thf(fun_VE491066615515474744t_bool_type,type,
fun_VE491066615515474744t_bool: $tType ).
thf(fun_op2627489687811228755t_bool_type,type,
fun_op2627489687811228755t_bool: $tType ).
thf(fun_Co3393511490457469770omplex_type,type,
fun_Co3393511490457469770omplex: $tType ).
thf(fun_fu40286998686754419omplex_type,type,
fun_fu40286998686754419omplex: $tType ).
thf(fun_na6632006986671646835omplex_type,type,
fun_na6632006986671646835omplex: $tType ).
thf(fun_co6883864892131739507omplex_type,type,
fun_co6883864892131739507omplex: $tType ).
thf(fun_Ex8341929632020906428d_enat_type,type,
fun_Ex8341929632020906428d_enat: $tType ).
thf(produc2963631642982155120at_num_type,type,
produc2963631642982155120at_num: $tType ).
thf(produc7248412053542808358at_nat_type,type,
produc7248412053542808358at_nat: $tType ).
thf(fun_Pr2834072668759824765t_bool_type,type,
fun_Pr2834072668759824765t_bool: $tType ).
thf(fun_Pr8281063099935739201l_bool_type,type,
fun_Pr8281063099935739201l_bool: $tType ).
thf(fun_bo2283621765859016089r_bool_type,type,
fun_bo2283621765859016089r_bool: $tType ).
thf(set_fi7789364187291644575l_real_type,type,
set_fi7789364187291644575l_real: $tType ).
thf(fun_Pr8073036449086768093x_bool_type,type,
fun_Pr8073036449086768093x_bool: $tType ).
thf(fun_Co2315910201472382152t_real_type,type,
fun_Co2315910201472382152t_real: $tType ).
thf(fun_fu7631928937237476593t_real_type,type,
fun_fu7631928937237476593t_real: $tType ).
thf(fun_se2973560062716774839x_bool_type,type,
fun_se2973560062716774839x_bool: $tType ).
thf(fun_Co3833597871255845228et_nat_type,type,
fun_Co3833597871255845228et_nat: $tType ).
thf(fun_Co8243421489322702280et_int_type,type,
fun_Co8243421489322702280et_int: $tType ).
thf(fun_Co8310303586393106575r_bool_type,type,
fun_Co8310303586393106575r_bool: $tType ).
thf(filter6041513312241820739omplex_type,type,
filter6041513312241820739omplex: $tType ).
thf(fun_fu3077872570260440615l_real_type,type,
fun_fu3077872570260440615l_real: $tType ).
thf(fun_Co6226381647958292740nteger_type,type,
fun_Co6226381647958292740nteger: $tType ).
thf(fun_Co8521658056209057742er_num_type,type,
fun_Co8521658056209057742er_num: $tType ).
thf(fun_Co3583066429914935172er_nat_type,type,
fun_Co3583066429914935172er_nat: $tType ).
thf(fun_Co1092983284983208416er_int_type,type,
fun_Co1092983284983208416er_int: $tType ).
thf(fun_fu7376312551830202376l_bool_type,type,
fun_fu7376312551830202376l_bool: $tType ).
thf(fun_re2247630640979516958l_bool_type,type,
fun_re2247630640979516958l_bool: $tType ).
thf(list_P44034876932920720T_bool_type,type,
list_P44034876932920720T_bool: $tType ).
thf(list_P5912569763298001674T_VEBT_type,type,
list_P5912569763298001674T_VEBT: $tType ).
thf(fun_fu5874800227564645059l_bool_type,type,
fun_fu5874800227564645059l_bool: $tType ).
thf(fun_re8542384036533109323t_real_type,type,
fun_re8542384036533109323t_real: $tType ).
thf(fun_re4112884445705685835l_real_type,type,
fun_re4112884445705685835l_real: $tType ).
thf(list_P7037539587688870467BT_nat_type,type,
list_P7037539587688870467BT_nat: $tType ).
thf(list_P4547456442757143711BT_int_type,type,
list_P4547456442757143711BT_int: $tType ).
thf(list_P5647936690300460905T_VEBT_type,type,
list_P5647936690300460905T_VEBT: $tType ).
thf(list_P8603913368774139775r_bool_type,type,
list_P8603913368774139775r_bool: $tType ).
thf(produc8243902056947475879T_VEBT_type,type,
produc8243902056947475879T_VEBT: $tType ).
thf(fun_fu6899955116716589935t_real_type,type,
fun_fu6899955116716589935t_real: $tType ).
thf(fun_re4756235295228751087t_real_type,type,
fun_re4756235295228751087t_real: $tType ).
thf(fun_na5225841814499866095t_real_type,type,
fun_na5225841814499866095t_real: $tType ).
thf(set_Pr9123050470547338789r_bool_type,type,
set_Pr9123050470547338789r_bool: $tType ).
thf(set_Pr5085853215250843933omplex_type,type,
set_Pr5085853215250843933omplex: $tType ).
thf(produc8923325533196201883nteger_type,type,
produc8923325533196201883nteger: $tType ).
thf(fun_fu3106432010075488275t_real_type,type,
fun_fu3106432010075488275t_real: $tType ).
thf(fun_fu6119738925743952495t_real_type,type,
fun_fu6119738925743952495t_real: $tType ).
thf(fun_fu3889889255038636099t_bool_type,type,
fun_fu3889889255038636099t_bool: $tType ).
thf(fun_fu7822069302422884163t_bool_type,type,
fun_fu7822069302422884163t_bool: $tType ).
thf(fun_na1154345429118027792d_enat_type,type,
fun_na1154345429118027792d_enat: $tType ).
thf(fun_nu3252745593357250260m_bool_type,type,
fun_nu3252745593357250260m_bool: $tType ).
thf(fun_nu6802584969620870558m_bool_type,type,
fun_nu6802584969620870558m_bool: $tType ).
thf(fun_na4307237274036209000m_bool_type,type,
fun_na4307237274036209000m_bool: $tType ).
thf(fun_na3408937105440547634t_bool_type,type,
fun_na3408937105440547634t_bool: $tType ).
thf(fun_in6148020733644367646t_bool_type,type,
fun_in6148020733644367646t_bool: $tType ).
thf(produc7272778201969148633d_enat_type,type,
produc7272778201969148633d_enat: $tType ).
thf(fun_fu8328862064278946247at_rat_type,type,
fun_fu8328862064278946247at_rat: $tType ).
thf(fun_fu7002938529518989751at_nat_type,type,
fun_fu7002938529518989751at_nat: $tType ).
thf(fun_fu8464300013002972271at_int_type,type,
fun_fu8464300013002972271at_int: $tType ).
thf(fun_ra3995598502166916815at_rat_type,type,
fun_ra3995598502166916815at_rat: $tType ).
thf(fun_ra5513060666784058567at_rat_type,type,
fun_ra5513060666784058567at_rat: $tType ).
thf(fun_Pr9030630356418945121l_bool_type,type,
fun_Pr9030630356418945121l_bool: $tType ).
thf(fun_nu9041852840018610706omplex_type,type,
fun_nu9041852840018610706omplex: $tType ).
thf(fun_na3925014923085203400omplex_type,type,
fun_na3925014923085203400omplex: $tType ).
thf(fun_na3244735409550470327at_nat_type,type,
fun_na3244735409550470327at_nat: $tType ).
thf(fun_in6793278964266839919at_int_type,type,
fun_in6793278964266839919at_int: $tType ).
thf(fun_in1521351555827773387at_int_type,type,
fun_in1521351555827773387at_int: $tType ).
thf(fun_co7673397065115134084omplex_type,type,
fun_co7673397065115134084omplex: $tType ).
thf(fun_na7595719129879163854on_num_type,type,
fun_na7595719129879163854on_num: $tType ).
thf(fun_se2197967325210717499l_bool_type,type,
fun_se2197967325210717499l_bool: $tType ).
thf(fun_Co4129272462331242167l_char_type,type,
fun_Co4129272462331242167l_char: $tType ).
thf(filter2146258269922977983l_real_type,type,
filter2146258269922977983l_real: $tType ).
thf(fun_Pr6287530515171585797m_bool_type,type,
fun_Pr6287530515171585797m_bool: $tType ).
thf(fun_Pr1727971692872576719m_bool_type,type,
fun_Pr1727971692872576719m_bool: $tType ).
thf(fun_Pr7757163693017731481t_bool_type,type,
fun_Pr7757163693017731481t_bool: $tType ).
thf(fun_Pr803113274115125473t_bool_type,type,
fun_Pr803113274115125473t_bool: $tType ).
thf(fun_bo7720638723722887333nt_int_type,type,
fun_bo7720638723722887333nt_int: $tType ).
thf(fun_VE2066785035971159626l_bool_type,type,
fun_VE2066785035971159626l_bool: $tType ).
thf(fun_Pr2602117396471556196at_nat_type,type,
fun_Pr2602117396471556196at_nat: $tType ).
thf(fun_Pr7647638413817135296at_int_type,type,
fun_Pr7647638413817135296at_int: $tType ).
thf(fun_Pr982841511892225912nt_int_type,type,
fun_Pr982841511892225912nt_int: $tType ).
thf(fun_nu5148503272595741012um_num_type,type,
fun_nu5148503272595741012um_num: $tType ).
thf(fun_nu3130108178629567498at_num_type,type,
fun_nu3130108178629567498at_num: $tType ).
thf(fun_na5614638261385347865t_bool_type,type,
fun_na5614638261385347865t_bool: $tType ).
thf(fun_na1476630412504255114at_nat_type,type,
fun_na1476630412504255114at_nat: $tType ).
thf(fun_in4514472496968388910at_nat_type,type,
fun_in4514472496968388910at_nat: $tType ).
thf(fun_in4211310926729683942nt_int_type,type,
fun_in4211310926729683942nt_int: $tType ).
thf(fun_fu8408893963819803632l_bool_type,type,
fun_fu8408893963819803632l_bool: $tType ).
thf(fun_VE3763956218935105199t_bool_type,type,
fun_VE3763956218935105199t_bool: $tType ).
thf(fun_nu4698968662094489488t_real_type,type,
fun_nu4698968662094489488t_real: $tType ).
thf(fun_na2351039247863542899T_bool_type,type,
fun_na2351039247863542899T_bool: $tType ).
thf(fun_na3666575854997362246t_real_type,type,
fun_na3666575854997362246t_real: $tType ).
thf(fun_Co3748208068438171869l_bool_type,type,
fun_Co3748208068438171869l_bool: $tType ).
thf(fun_se680526843285281907t_bool_type,type,
fun_se680526843285281907t_bool: $tType ).
thf(fun_se6612071603986899387t_bool_type,type,
fun_se6612071603986899387t_bool: $tType ).
thf(fun_na5042103099923536755t_bool_type,type,
fun_na5042103099923536755t_bool: $tType ).
thf(fun_co1378794544173401837x_bool_type,type,
fun_co1378794544173401837x_bool: $tType ).
thf(option4927543243414619207at_nat_type,type,
option4927543243414619207at_nat: $tType ).
thf(filter1242075044329608583at_nat_type,type,
filter1242075044329608583at_nat: $tType ).
thf(fun_nu530747996811530292et_nat_type,type,
fun_nu530747996811530292et_nat: $tType ).
thf(fun_nu4940571614878387344et_int_type,type,
fun_nu4940571614878387344et_int: $tType ).
thf(fun_na1591161823130732966omplex_type,type,
fun_na1591161823130732966omplex: $tType ).
thf(fun_co3258106519541737638omplex_type,type,
fun_co3258106519541737638omplex: $tType ).
thf(fun_bo6623066019567229854t_bool_type,type,
fun_bo6623066019567229854t_bool: $tType ).
thf(set_Pr6218003697084177305l_real_type,type,
set_Pr6218003697084177305l_real: $tType ).
thf(list_P2722043638750504429l_bool_type,type,
list_P2722043638750504429l_bool: $tType ).
thf(list_P6781292141273955916t_bool_type,type,
list_P6781292141273955916t_bool: $tType ).
thf(list_P18149847613930150ol_nat_type,type,
list_P18149847613930150ol_nat: $tType ).
thf(list_P6751438739536979202ol_int_type,type,
list_P6751438739536979202ol_int: $tType ).
thf(fun_na7542918316964655096d_enat_type,type,
fun_na7542918316964655096d_enat: $tType ).
thf(produc6448083994118892042T_bool_type,type,
produc6448083994118892042T_bool: $tType ).
thf(produc8408751633324799108T_VEBT_type,type,
produc8408751633324799108T_VEBT: $tType ).
thf(list_P3744719386663036955um_num_type,type,
list_P3744719386663036955um_num: $tType ).
thf(fun_li6006399982103069984T_bool_type,type,
fun_li6006399982103069984T_bool: $tType ).
thf(produc9072475918466114483BT_nat_type,type,
produc9072475918466114483BT_nat: $tType ).
thf(produc4894624898956917775BT_int_type,type,
produc4894624898956917775BT_int: $tType ).
thf(produc7417142470700560111r_bool_type,type,
produc7417142470700560111r_bool: $tType ).
thf(set_Pr8218934625190621173um_num_type,type,
set_Pr8218934625190621173um_num: $tType ).
thf(set_Pr6200539531224447659at_num_type,type,
set_Pr6200539531224447659at_num: $tType ).
thf(set_Pr1261947904930325089at_nat_type,type,
set_Pr1261947904930325089at_nat: $tType ).
thf(set_Pr958786334691620121nt_int_type,type,
set_Pr958786334691620121nt_int: $tType ).
thf(fun_fu5598531584598828312l_bool_type,type,
fun_fu5598531584598828312l_bool: $tType ).
thf(fun_VE3165209603783583043T_VEBT_type,type,
fun_VE3165209603783583043T_VEBT: $tType ).
thf(fun_se448528567104302406T_bool_type,type,
fun_se448528567104302406T_bool: $tType ).
thf(fun_re2084383175013312036omplex_type,type,
fun_re2084383175013312036omplex: $tType ).
thf(fun_na1957955181367619364omplex_type,type,
fun_na1957955181367619364omplex: $tType ).
thf(fun_na5723442673449079972x_real_type,type,
fun_na5723442673449079972x_real: $tType ).
thf(fun_co8378349014452122532t_real_type,type,
fun_co8378349014452122532t_real: $tType ).
thf(fun_na5941084329111710283x_bool_type,type,
fun_na5941084329111710283x_bool: $tType ).
thf(fun_set_nat_set_nat_type,type,
fun_set_nat_set_nat: $tType ).
thf(fun_na1142814060743658952omplex_type,type,
fun_na1142814060743658952omplex: $tType ).
thf(fun_na5558608354090810916omplex_type,type,
fun_na5558608354090810916omplex: $tType ).
thf(fun_in8056368165505483812omplex_type,type,
fun_in8056368165505483812omplex: $tType ).
thf(fun_Co8499238673658658103nteger_type,type,
fun_Co8499238673658658103nteger: $tType ).
thf(fun_re7681423839302404990l_real_type,type,
fun_re7681423839302404990l_real: $tType ).
thf(fun_re1255401033344146673l_bool_type,type,
fun_re1255401033344146673l_bool: $tType ).
thf(fun_fu7511176317168184086l_bool_type,type,
fun_fu7511176317168184086l_bool: $tType ).
thf(fun_re4238438383274954274t_real_type,type,
fun_re4238438383274954274t_real: $tType ).
thf(fun_na6724076748692969250l_real_type,type,
fun_na6724076748692969250l_real: $tType ).
thf(fun_bo1841576699660343469l_bool_type,type,
fun_bo1841576699660343469l_bool: $tType ).
thf(fun_fu7168253649841883962l_bool_type,type,
fun_fu7168253649841883962l_bool: $tType ).
thf(fun_fu3953691263982683030l_bool_type,type,
fun_fu3953691263982683030l_bool: $tType ).
thf(fun_nat_fun_nat_real_type,type,
fun_nat_fun_nat_real: $tType ).
thf(fun_nat_fun_int_real_type,type,
fun_nat_fun_int_real: $tType ).
thf(fun_na9137082442855928016l_bool_type,type,
fun_na9137082442855928016l_bool: $tType ).
thf(fun_int_fun_nat_real_type,type,
fun_int_fun_nat_real: $tType ).
thf(fun_Ex5852502975177633731d_enat_type,type,
fun_Ex5852502975177633731d_enat: $tType ).
thf(fun_rat_fun_rat_bool_type,type,
fun_rat_fun_rat_bool: $tType ).
thf(fun_num_fun_num_bool_type,type,
fun_num_fun_num_bool: $tType ).
thf(fun_nat_fun_num_bool_type,type,
fun_nat_fun_num_bool: $tType ).
thf(fun_nat_fun_nat_bool_type,type,
fun_nat_fun_nat_bool: $tType ).
thf(fun_nat_fun_int_bool_type,type,
fun_nat_fun_int_bool: $tType ).
thf(fun_int_fun_int_bool_type,type,
fun_int_fun_int_bool: $tType ).
thf(fun_bool_set_complex_type,type,
fun_bool_set_complex: $tType ).
thf(fun_set_nat_complex_type,type,
fun_set_nat_complex: $tType ).
thf(fun_rat_fun_nat_rat_type,type,
fun_rat_fun_nat_rat: $tType ).
thf(fun_num_set_complex_type,type,
fun_num_set_complex: $tType ).
thf(fun_nat_fun_rat_rat_type,type,
fun_nat_fun_rat_rat: $tType ).
thf(fun_nat_fun_num_num_type,type,
fun_nat_fun_num_num: $tType ).
thf(fun_nat_fun_nat_rat_type,type,
fun_nat_fun_nat_rat: $tType ).
thf(fun_nat_fun_nat_nat_type,type,
fun_nat_fun_nat_nat: $tType ).
thf(fun_nat_fun_nat_int_type,type,
fun_nat_fun_nat_int: $tType ).
thf(fun_nat_fun_int_int_type,type,
fun_nat_fun_int_int: $tType ).
thf(fun_int_fun_nat_int_type,type,
fun_int_fun_nat_int: $tType ).
thf(fun_int_fun_int_int_type,type,
fun_int_fun_int_int: $tType ).
thf(fun_option_num_bool_type,type,
fun_option_num_bool: $tType ).
thf(fun_num_option_num_type,type,
fun_num_option_num: $tType ).
thf(fun_nat_option_num_type,type,
fun_nat_option_num: $tType ).
thf(produc2804947525362035943l_bool_type,type,
produc2804947525362035943l_bool: $tType ).
thf(fun_list_bool_bool_type,type,
fun_list_bool_bool: $tType ).
thf(produc567104428201204118ol_nat_type,type,
produc567104428201204118ol_nat: $tType ).
thf(produc5612625445546783218ol_int_type,type,
produc5612625445546783218ol_int: $tType ).
thf(fun_list_nat_bool_type,type,
fun_list_nat_bool: $tType ).
thf(fun_list_int_bool_type,type,
fun_list_int_bool: $tType ).
thf(fun_bool_set_real_type,type,
fun_bool_set_real: $tType ).
thf(product_prod_num_num_type,type,
product_prod_num_num: $tType ).
thf(product_prod_nat_num_type,type,
product_prod_nat_num: $tType ).
thf(product_prod_nat_nat_type,type,
product_prod_nat_nat: $tType ).
thf(product_prod_int_int_type,type,
product_prod_int_int: $tType ).
thf(fun_VEBT_VEBT_bool_type,type,
fun_VEBT_VEBT_bool: $tType ).
thf(fun_set_nat_real_type,type,
fun_set_nat_real: $tType ).
thf(fun_set_bool_bool_type,type,
fun_set_bool_bool: $tType ).
thf(fun_num_set_real_type,type,
fun_num_set_real: $tType ).
thf(fun_bool_VEBT_VEBT_type,type,
fun_bool_VEBT_VEBT: $tType ).
thf(fun_bool_set_bool_type,type,
fun_bool_set_bool: $tType ).
thf(fun_VEBT_VEBT_nat_type,type,
fun_VEBT_VEBT_nat: $tType ).
thf(fun_VEBT_VEBT_int_type,type,
fun_VEBT_VEBT_int: $tType ).
thf(fun_set_nat_bool_type,type,
fun_set_nat_bool: $tType ).
thf(fun_set_int_bool_type,type,
fun_set_int_bool: $tType ).
thf(fun_nat_VEBT_VEBT_type,type,
fun_nat_VEBT_VEBT: $tType ).
thf(fun_int_VEBT_VEBT_type,type,
fun_int_VEBT_VEBT: $tType ).
thf(fun_bool_set_nat_type,type,
fun_bool_set_nat: $tType ).
thf(fun_bool_set_int_type,type,
fun_bool_set_int: $tType ).
thf(fun_Co8822979462182099027r_bool_type,type,
fun_Co8822979462182099027r_bool: $tType ).
thf(fun_set_nat_nat_type,type,
fun_set_nat_nat: $tType ).
thf(fun_num_set_nat_type,type,
fun_num_set_nat: $tType ).
thf(fun_num_set_int_type,type,
fun_num_set_int: $tType ).
thf(fun_nat_set_nat_type,type,
fun_nat_set_nat: $tType ).
thf(fun_nat_set_int_type,type,
fun_nat_set_int: $tType ).
thf(fun_nat_Code_integer_type,type,
fun_nat_Code_integer: $tType ).
thf(fun_int_set_int_type,type,
fun_int_set_int: $tType ).
thf(fun_complex_complex_type,type,
fun_complex_complex: $tType ).
thf(fun_Code_integer_num_type,type,
fun_Code_integer_num: $tType ).
thf(fun_Code_integer_nat_type,type,
fun_Code_integer_nat: $tType ).
thf(fun_Code_integer_int_type,type,
fun_Code_integer_int: $tType ).
thf(fun_Ex8563670519792538868t_bool_type,type,
fun_Ex8563670519792538868t_bool: $tType ).
thf(fun_na8797796813480665199d_enat_type,type,
fun_na8797796813480665199d_enat: $tType ).
thf(list_VEBT_VEBT_type,type,
list_VEBT_VEBT: $tType ).
thf(fun_real_complex_type,type,
fun_real_complex: $tType ).
thf(fun_complex_real_type,type,
fun_complex_real: $tType ).
thf(set_list_nat_type,type,
set_list_nat: $tType ).
thf(list_set_nat_type,type,
list_set_nat: $tType ).
thf(list_Code_integer_type,type,
list_Code_integer: $tType ).
thf(fun_complex_bool_type,type,
fun_complex_bool: $tType ).
thf(set_VEBT_VEBT_type,type,
set_VEBT_VEBT: $tType ).
thf(set_set_bool_type,type,
set_set_bool: $tType ).
thf(fun_nat_complex_type,type,
fun_nat_complex: $tType ).
thf(fun_int_complex_type,type,
fun_int_complex: $tType ).
thf(fun_complex_nat_type,type,
fun_complex_nat: $tType ).
thf(fun_complex_int_type,type,
fun_complex_int: $tType ).
thf(set_set_nat_type,type,
set_set_nat: $tType ).
thf(set_set_int_type,type,
set_set_int: $tType ).
thf(set_Code_integer_type,type,
set_Code_integer: $tType ).
thf(fun_bool_char_type,type,
fun_bool_char: $tType ).
thf(set_Product_unit_type,type,
set_Product_unit: $tType ).
thf(set_Extended_enat_type,type,
set_Extended_enat: $tType ).
thf(fun_char_nat_type,type,
fun_char_nat: $tType ).
thf(fun_real_real_type,type,
fun_real_real: $tType ).
thf(fun_nat_char_type,type,
fun_nat_char: $tType ).
thf(fun_real_bool_type,type,
fun_real_bool: $tType ).
thf(fun_real_rat_type,type,
fun_real_rat: $tType ).
thf(fun_real_num_type,type,
fun_real_num: $tType ).
thf(fun_real_nat_type,type,
fun_real_nat: $tType ).
thf(fun_real_int_type,type,
fun_real_int: $tType ).
thf(fun_rat_real_type,type,
fun_rat_real: $tType ).
thf(fun_num_real_type,type,
fun_num_real: $tType ).
thf(fun_nat_real_type,type,
fun_nat_real: $tType ).
thf(fun_int_real_type,type,
fun_int_real: $tType ).
thf(fun_bool_bool_type,type,
fun_bool_bool: $tType ).
thf(list_complex_type,type,
list_complex: $tType ).
thf(fun_rat_bool_type,type,
fun_rat_bool: $tType ).
thf(fun_num_bool_type,type,
fun_num_bool: $tType ).
thf(fun_nat_bool_type,type,
fun_nat_bool: $tType ).
thf(fun_int_bool_type,type,
fun_int_bool: $tType ).
thf(fun_bool_nat_type,type,
fun_bool_nat: $tType ).
thf(fun_bool_int_type,type,
fun_bool_int: $tType ).
thf(fun_rat_rat_type,type,
fun_rat_rat: $tType ).
thf(fun_rat_num_type,type,
fun_rat_num: $tType ).
thf(fun_rat_nat_type,type,
fun_rat_nat: $tType ).
thf(fun_rat_int_type,type,
fun_rat_int: $tType ).
thf(fun_num_rat_type,type,
fun_num_rat: $tType ).
thf(fun_num_num_type,type,
fun_num_num: $tType ).
thf(fun_num_nat_type,type,
fun_num_nat: $tType ).
thf(fun_num_int_type,type,
fun_num_int: $tType ).
thf(fun_nat_rat_type,type,
fun_nat_rat: $tType ).
thf(fun_nat_num_type,type,
fun_nat_num: $tType ).
thf(fun_nat_nat_type,type,
fun_nat_nat: $tType ).
thf(fun_nat_int_type,type,
fun_nat_int: $tType ).
thf(fun_int_rat_type,type,
fun_int_rat: $tType ).
thf(fun_int_num_type,type,
fun_int_num: $tType ).
thf(fun_int_nat_type,type,
fun_int_nat: $tType ).
thf(fun_int_int_type,type,
fun_int_int: $tType ).
thf(set_complex_type,type,
set_complex: $tType ).
thf(filter_real_type,type,
filter_real: $tType ).
thf(option_num_type,type,
option_num: $tType ).
thf(filter_nat_type,type,
filter_nat: $tType ).
thf(set_char_type,type,
set_char: $tType ).
thf(list_real_type,type,
list_real: $tType ).
thf(list_bool_type,type,
list_bool: $tType ).
thf(set_real_type,type,
set_real: $tType ).
thf(list_num_type,type,
list_num: $tType ).
thf(list_nat_type,type,
list_nat: $tType ).
thf(list_int_type,type,
list_int: $tType ).
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(set_bool_type,type,
set_bool: $tType ).
thf(set_rat_type,type,
set_rat: $tType ).
thf(set_num_type,type,
set_num: $tType ).
thf(set_nat_type,type,
set_nat: $tType ).
thf(set_int_type,type,
set_int: $tType ).
thf(code_integer_type,type,
code_integer: $tType ).
thf(extended_enat_type,type,
extended_enat: $tType ).
thf(complex_type,type,
complex: $tType ).
thf(char_type,type,
char: $tType ).
thf(real_type,type,
real: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(rat_type,type,
rat: $tType ).
thf(num_type,type,
num: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(int_type,type,
int: $tType ).
thf(extend5688581933313929465d_enat_type,type,
extend5688581933313929465d_enat: extended_enat ).
thf(vEBT_VEBT_elim_dead_type,type,
vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT ).
thf(summarya_type,type,
summarya: vEBT_VEBT ).
thf(14,axiom,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
= summarya ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__C2_OIH_C_I2_J) ).
thf(69,plain,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
= summarya ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(70,plain,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
= summarya ),
inference(lifteq,[status(thm)],[69]) ).
thf(1,conjecture,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
= summarya ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
!= summarya ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(19,plain,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
!= summarya ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
!= summarya ),
inference(lifteq,[status(thm)],[19]) ).
thf(89,plain,
$false,
inference(simplifyReflect,[status(thm)],[70,20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ITP222_1 : TPTP v8.2.0. Released v8.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.13/0.36 % Computer : n021.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat May 18 17:57:09 EDT 2024
% 0.13/0.36 % CPUTime :
% 1.17/1.11 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 6.40/2.67 % [INFO] Parsing done (1551ms).
% 6.40/2.69 % [INFO] Running in sequential loop mode.
% 7.10/3.12 % [INFO] nitpick registered as external prover.
% 7.10/3.13 % [INFO] Scanning for conjecture ...
% 10.88/4.33 % [INFO] Found a conjecture (or negated_conjecture) and 10851 axioms. Running axiom selection ...
% 11.49/4.49 % [INFO] Axiom selection finished. Selected 16 axioms (removed 10835 axioms).
% 11.49/4.52 % [INFO] Problem is typed first-order (TPTP TFF).
% 11.49/4.53 % [INFO] Type checking passed.
% 11.49/4.53 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 15.08/5.54 % [INFO] Killing All external provers ...
% 15.08/5.54 % Time passed: 5002ms (effective reasoning time: 2842ms)
% 15.08/5.54 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 15.08/5.54 % Axioms used in derivation (1): fact_1__C2_OIH_C_I2_J
% 15.08/5.54 % No. of inferences in proof: 8
% 15.08/5.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5002 ms resp. 2842 ms w/o parsing
% 15.20/5.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.20/5.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------