TSTP Solution File: SCT171+1 by Beagle---0.9.51
View Problem
- 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n005.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 2.85s
% Output : CNFRefutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 259
% Syntax : Number of formulae : 264 ( 6 unt; 256 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 : 2 ( 0 usr)
% Number of type conns : 359 ( 194 >; 165 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 246 ( 246 usr; 62 con; 0-6 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_fun959573582l_bool > is_fun917378774i_bool > is_fun631676118l_bool > is_fun432044380l_bool > is_fun282293932t_bool > is_fun1016509681e_indi > is_bool > is_Arr625519182e_indi > is_Arr553848933le_alt > hBOOL > product_prod > produc171383831le_alt > pi_fun972956463e_indi > pi_fun525942951l_bool > pi_fun433100839t_bool > pi_fun2075749915e_indi > pi_fun1736243859e_indi > pi_fun1727820731l_bool > pi_fun1494794527l_bool > pi_boo71521447t_bool > pi_boo691944735t_bool > pi_boo2007389459t_bool > pi_boo1877522301le_alt > pi_Pro437273841e_indi > pi_Pro2135156861t_bool > pi_Arr688267935t_bool > pi_Arr372473371t_bool > pi_Arr1511953043t_bool > pi_Arr149813489le_alt > inj_on24934938di_nat > hilber1792103167di_nat > hAPP_nat_bool > hAPP_n385347014e_indi > hAPP_n1699378549t_bool > hAPP_f919661787l_bool > hAPP_f861484971l_bool > hAPP_f813556705l_bool > hAPP_f785543729l_bool > hAPP_f749892423i_bool > hAPP_f745298353l_bool > hAPP_f695124765t_bool > hAPP_f681113465i_bool > hAPP_f618619045e_indi > hAPP_f592909149l_bool > hAPP_f526292585l_bool > hAPP_f503012287l_bool > hAPP_f500145249l_bool > hAPP_f497468491l_bool > hAPP_f483434675l_bool > hAPP_f460310451l_bool > hAPP_f453661011l_bool > hAPP_f448497509l_bool > hAPP_f417299659l_bool > hAPP_f387058535l_bool > hAPP_f371807573l_bool > hAPP_f355113919i_bool > hAPP_f352490559i_bool > hAPP_f313042899l_bool > hAPP_f281286919l_bool > hAPP_f234874197l_bool > hAPP_f219827985l_bool > hAPP_f2135750719l_bool > hAPP_f213304539l_bool > hAPP_f2056167603l_bool > hAPP_f204273237l_bool > hAPP_f20355883l_bool > hAPP_f1979025587l_bool > hAPP_f1970593179i_bool > hAPP_f1903519657i_bool > hAPP_f1895985727l_bool > hAPP_f1818473245e_indi > hAPP_f1766869725l_bool > hAPP_f1760255479l_bool > hAPP_f1724001331l_bool > hAPP_f1710416135l_bool > hAPP_f1697527281l_bool > hAPP_f1677452273i_bool > hAPP_f1673487381t_bool > hAPP_f1669465919l_bool > hAPP_f1667233577l_bool > hAPP_f1659504677e_indi > hAPP_f1636546729l_bool > hAPP_f159424297t_bool > hAPP_f1550037191l_bool > hAPP_f1520552209t_bool > hAPP_f1507266205t_bool > hAPP_f1336478923t_bool > hAPP_f1290184496t_bool > hAPP_f1279200745l_bool > hAPP_f1271180905l_bool > hAPP_f1235573641l_bool > hAPP_f1018082273l_bool > hAPP_f1012384989l_bool > hAPP_bool_bool > hAPP_b990649139l_bool > hAPP_b833696937t_bool > hAPP_b589554111l_bool > hAPP_b331122225t_bool > hAPP_b1965422783l_bool > hAPP_b1915039793t_bool > hAPP_b1817367815le_alt > hAPP_b1719629739l_bool > hAPP_b1024867081t_bool > hAPP_b1018211123i_bool > hAPP_P907763049i_bool > hAPP_P2127852789l_bool > hAPP_P2075002375t_bool > hAPP_P2024088443e_indi > hAPP_A869356733t_bool > hAPP_A702630576t_bool > hAPP_A619995676t_bool > hAPP_A588601142di_nat > hAPP_A460042315t_bool > hAPP_A384644407t_bool > hAPP_A1964572607l_bool > hAPP_A1944296755l_bool > hAPP_A1922697556t_bool > hAPP_A1912483895l_bool > hAPP_A1736628091le_alt > hAPP_A1594182429t_bool > hAPP_A1466488369i_bool > hAPP_A1374816149t_bool > hAPP_A1333445289t_bool > hAPP_A1062826149t_bool > fun > cOMBS_867867294t_bool > cOMBS_102864562t_bool > cOMBC_493523632t_bool > cOMBC_481590946t_bool > cOMBC_437064334t_bool > cOMBC_277798809t_bool > cOMBC_1778077589t_bool > cOMBB_963584201e_indi > cOMBB_69933763e_indi > cOMBB_317992461e_indi > cOMBB_1292070696e_indi > #nlpp > undefi818645567e_indi > undefi802509179t_bool > undefi1301554228le_alt > member_bool > member859582768le_alt > member765089840e_indi > member497701034t_bool > member42699324le_alt > member387398118l_bool > member329987264e_indi > member2081512038t_bool > member2074804542e_indi > member1965683644t_bool > member1911067358t_bool > member1833291218t_bool > member1661336414l_bool > member1622429502t_bool > member1467476314t_bool > member1277417654t_bool > member1122398042e_indi > member1105181906e_indi > member1056080916le_alt > member1033316428l_bool > finite120254591e_indi > collec874260222t_bool > collec45183100e_indi > collec1711870802le_alt > collec1580242420t_bool > collec1520786044t_bool > top_top_bool > top_to40512653l_bool > top_to2034604131t_bool > top_to2005687013l_bool > top_to1647826457l_bool > top_to1256827021i_bool > top_to1194196741l_bool > p > ord_less_nat > ord_less_bool > ord_le694128617i_bool > ord_le453141089l_bool > ord_le272605321l_bool > ord_le227393471t_bool > ord_le1480133609l_bool > n > lba > lab > if_fun1419651289t_bool > h > fequal_nat > fTrue > fFalse > f > e > d > cOMBK_977355664t_bool > cOMBK_971068024l_bool > cOMBK_886533338t_bool > cOMBK_789167586t_bool > cOMBK_697786936l_bool > cOMBK_697604314l_bool > cOMBK_580911210t_bool > cOMBK_454107598t_bool > cOMBK_2076140708t_bool > cOMBK_2069093696le_alt > cOMBK_2008994872le_alt > cOMBK_1372975190t_bool > cOMBK_1292462166e_indi > cOMBK_1268833122l_bool > cOMBK_116240846e_indi > cOMBK_1158753900e_indi > cOMBK_1157044842e_indi > cOMBK_1152753196e_indi > cOMBK_1088865252t_bool > cOMBK_1072228194t_bool > cOMBK_1015076504t_bool > cOMBK_100791596le_alt > c > bool > b > arrow_812378712_above > arrow_78446834_mktop > arrow_467566751nimity > arrow_413697182e_Prof > arrow_2110637339e_indi > arrow_2077223396_mkbot > arrow_2061665457ctator > arrow_1812558424le_alt > arrow_1239002508le_Lin > arrow_1212118780le_IIA > a > #skF_9 > #skF_7 > #skF_17 > #skF_22 > #skF_16 > #skF_2 > #skF_24 > #skF_1 > #skF_26 > #skF_20 > #skF_8 > #skF_15 > #skF_18 > #skF_19 > #skF_10 > #skF_23 > #skF_3 > #skF_28 > #skF_5 > #skF_11 > #skF_25 > #skF_14 > #skF_13 > #skF_12 > #skF_29 > #skF_27 > #skF_21 > #skF_6 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(hAPP_f371807573l_bool,type,
hAPP_f371807573l_bool: ( $i * $i ) > $i ).
tff(hAPP_f281286919l_bool,type,
hAPP_f281286919l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1279200745l_bool,type,
hAPP_f1279200745l_bool: ( $i * $i ) > $i ).
tff(ord_less_bool,type,
ord_less_bool: $i ).
tff(cOMBK_1088865252t_bool,type,
cOMBK_1088865252t_bool: $i ).
tff(hAPP_f20355883l_bool,type,
hAPP_f20355883l_bool: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(hAPP_f2135750719l_bool,type,
hAPP_f2135750719l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1766869725l_bool,type,
hAPP_f1766869725l_bool: ( $i * $i ) > $i ).
tff(hAPP_A1964572607l_bool,type,
hAPP_A1964572607l_bool: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(ord_less_nat,type,
ord_less_nat: $i ).
tff(cOMBK_2069093696le_alt,type,
cOMBK_2069093696le_alt: $i ).
tff(is_fun1016509681e_indi,type,
is_fun1016509681e_indi: $i > $o ).
tff(hAPP_f313042899l_bool,type,
hAPP_f313042899l_bool: ( $i * $i ) > $i ).
tff(top_to2005687013l_bool,type,
top_to2005687013l_bool: $i ).
tff(produc171383831le_alt,type,
produc171383831le_alt: ( $i * $i ) > $i ).
tff(pi_Arr688267935t_bool,type,
pi_Arr688267935t_bool: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i ) > $i ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(cOMBK_1372975190t_bool,type,
cOMBK_1372975190t_bool: $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(cOMBK_977355664t_bool,type,
cOMBK_977355664t_bool: $i ).
tff(hAPP_f219827985l_bool,type,
hAPP_f219827985l_bool: ( $i * $i ) > $i ).
tff(arrow_78446834_mktop,type,
arrow_78446834_mktop: $i ).
tff(h,type,
h: $i ).
tff(top_to1647826457l_bool,type,
top_to1647826457l_bool: $i ).
tff(hAPP_f861484971l_bool,type,
hAPP_f861484971l_bool: ( $i * $i ) > $i ).
tff(cOMBC_481590946t_bool,type,
cOMBC_481590946t_bool: ( $i * $i ) > $i ).
tff(collec1580242420t_bool,type,
collec1580242420t_bool: $i > $i ).
tff(top_top_bool,type,
top_top_bool: $i ).
tff(hAPP_A1062826149t_bool,type,
hAPP_A1062826149t_bool: ( $i * $i ) > $i ).
tff(member765089840e_indi,type,
member765089840e_indi: $i > $i ).
tff(is_fun432044380l_bool,type,
is_fun432044380l_bool: $i > $o ).
tff(hAPP_f417299659l_bool,type,
hAPP_f417299659l_bool: ( $i * $i ) > $i ).
tff(hAPP_f695124765t_bool,type,
hAPP_f695124765t_bool: ( $i * $i ) > $i ).
tff(pi_boo2007389459t_bool,type,
pi_boo2007389459t_bool: ( $i * $i ) > $i ).
tff(member2074804542e_indi,type,
member2074804542e_indi: $i > $i ).
tff(hAPP_nat_bool,type,
hAPP_nat_bool: ( $i * $i ) > $i ).
tff(hAPP_f204273237l_bool,type,
hAPP_f204273237l_bool: ( $i * $i ) > $i ).
tff(hAPP_A384644407t_bool,type,
hAPP_A384644407t_bool: ( $i * $i ) > $i ).
tff(cOMBB_317992461e_indi,type,
cOMBB_317992461e_indi: ( $i * $i ) > $i ).
tff(hAPP_f1550037191l_bool,type,
hAPP_f1550037191l_bool: ( $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_f1667233577l_bool,type,
hAPP_f1667233577l_bool: ( $i * $i ) > $i ).
tff(hAPP_b1965422783l_bool,type,
hAPP_b1965422783l_bool: ( $i * $i ) > $i ).
tff(hAPP_f592909149l_bool,type,
hAPP_f592909149l_bool: ( $i * $i ) > $i ).
tff(cOMBK_1268833122l_bool,type,
cOMBK_1268833122l_bool: $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(hAPP_f1012384989l_bool,type,
hAPP_f1012384989l_bool: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff(hAPP_f503012287l_bool,type,
hAPP_f503012287l_bool: ( $i * $i ) > $i ).
tff(if_fun1419651289t_bool,type,
if_fun1419651289t_bool: $i ).
tff(collec45183100e_indi,type,
collec45183100e_indi: $i > $i ).
tff(pi_Arr1511953043t_bool,type,
pi_Arr1511953043t_bool: ( $i * $i ) > $i ).
tff(f,type,
f: $i ).
tff(arrow_413697182e_Prof,type,
arrow_413697182e_Prof: $i ).
tff(is_bool,type,
is_bool: $i > $o ).
tff(hAPP_f460310451l_bool,type,
hAPP_f460310451l_bool: ( $i * $i ) > $i ).
tff(hAPP_f213304539l_bool,type,
hAPP_f213304539l_bool: ( $i * $i ) > $i ).
tff(hAPP_f387058535l_bool,type,
hAPP_f387058535l_bool: ( $i * $i ) > $i ).
tff(cOMBC_1778077589t_bool,type,
cOMBC_1778077589t_bool: ( $i * $i ) > $i ).
tff(hAPP_b331122225t_bool,type,
hAPP_b331122225t_bool: ( $i * $i ) > $i ).
tff(pi_fun1727820731l_bool,type,
pi_fun1727820731l_bool: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(top_to1194196741l_bool,type,
top_to1194196741l_bool: $i ).
tff(hAPP_f1669465919l_bool,type,
hAPP_f1669465919l_bool: ( $i * $i ) > $i ).
tff(arrow_1239002508le_Lin,type,
arrow_1239002508le_Lin: $i ).
tff(hAPP_b1018211123i_bool,type,
hAPP_b1018211123i_bool: ( $i * $i ) > $i ).
tff(pi_fun1494794527l_bool,type,
pi_fun1494794527l_bool: ( $i * $i ) > $i ).
tff(pi_Arr372473371t_bool,type,
pi_Arr372473371t_bool: ( $i * $i ) > $i ).
tff(arrow_812378712_above,type,
arrow_812378712_above: $i ).
tff(is_fun282293932t_bool,type,
is_fun282293932t_bool: $i > $o ).
tff(lba,type,
lba: $i ).
tff(hAPP_f1673487381t_bool,type,
hAPP_f1673487381t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1895985727l_bool,type,
hAPP_f1895985727l_bool: ( $i * $i ) > $i ).
tff(arrow_1212118780le_IIA,type,
arrow_1212118780le_IIA: $i ).
tff(member1661336414l_bool,type,
member1661336414l_bool: $i > $i ).
tff(fequal_nat,type,
fequal_nat: $i ).
tff(hAPP_f1659504677e_indi,type,
hAPP_f1659504677e_indi: ( $i * $i ) > $i ).
tff(cOMBK_1152753196e_indi,type,
cOMBK_1152753196e_indi: $i ).
tff(cOMBK_1292462166e_indi,type,
cOMBK_1292462166e_indi: $i ).
tff(cOMBC_437064334t_bool,type,
cOMBC_437064334t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1724001331l_bool,type,
hAPP_f1724001331l_bool: ( $i * $i ) > $i ).
tff(undefi818645567e_indi,type,
undefi818645567e_indi: $i > $i ).
tff(cOMBC_493523632t_bool,type,
cOMBC_493523632t_bool: ( $i * $i ) > $i ).
tff(cOMBB_963584201e_indi,type,
cOMBB_963584201e_indi: ( $i * $i ) > $i ).
tff(hAPP_f234874197l_bool,type,
hAPP_f234874197l_bool: ( $i * $i ) > $i ).
tff(pi_fun525942951l_bool,type,
pi_fun525942951l_bool: ( $i * $i ) > $i ).
tff(ord_le1480133609l_bool,type,
ord_le1480133609l_bool: $i ).
tff(cOMBK_1015076504t_bool,type,
cOMBK_1015076504t_bool: $i ).
tff(lab,type,
lab: $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(cOMBC_277798809t_bool,type,
cOMBC_277798809t_bool: ( $i * $i ) > $i ).
tff(bool,type,
bool: $i ).
tff(cOMBK_454107598t_bool,type,
cOMBK_454107598t_bool: $i ).
tff(top_to1256827021i_bool,type,
top_to1256827021i_bool: $i ).
tff(pi_Pro2135156861t_bool,type,
pi_Pro2135156861t_bool: ( $i * $i ) > $i ).
tff(pi_boo71521447t_bool,type,
pi_boo71521447t_bool: ( $i * $i ) > $i ).
tff(pi_Arr149813489le_alt,type,
pi_Arr149813489le_alt: ( $i * $i ) > $i ).
tff(hAPP_f500145249l_bool,type,
hAPP_f500145249l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1697527281l_bool,type,
hAPP_f1697527281l_bool: ( $i * $i ) > $i ).
tff(pi_fun1736243859e_indi,type,
pi_fun1736243859e_indi: ( $i * $i ) > $i ).
tff(hAPP_A1912483895l_bool,type,
hAPP_A1912483895l_bool: ( $i * $i ) > $i ).
tff(member42699324le_alt,type,
member42699324le_alt: $i > $i ).
tff(hAPP_f1507266205t_bool,type,
hAPP_f1507266205t_bool: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(fun,type,
fun: ( $i * $i ) > $i ).
tff(member1056080916le_alt,type,
member1056080916le_alt: $i > $i ).
tff(hAPP_f352490559i_bool,type,
hAPP_f352490559i_bool: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(undefi802509179t_bool,type,
undefi802509179t_bool: $i > $i ).
tff(hAPP_f1636546729l_bool,type,
hAPP_f1636546729l_bool: ( $i * $i ) > $i ).
tff(hAPP_P907763049i_bool,type,
hAPP_P907763049i_bool: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff(pi_fun972956463e_indi,type,
pi_fun972956463e_indi: ( $i * $i ) > $i ).
tff(collec874260222t_bool,type,
collec874260222t_bool: $i > $i ).
tff(hAPP_f526292585l_bool,type,
hAPP_f526292585l_bool: ( $i * $i ) > $i ).
tff(ord_le694128617i_bool,type,
ord_le694128617i_bool: $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff(pi_fun433100839t_bool,type,
pi_fun433100839t_bool: ( $i * $i ) > $i ).
tff(pi_fun2075749915e_indi,type,
pi_fun2075749915e_indi: ( $i * $i ) > $i ).
tff(member497701034t_bool,type,
member497701034t_bool: $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(cOMBK_789167586t_bool,type,
cOMBK_789167586t_bool: $i ).
tff(hAPP_b1915039793t_bool,type,
hAPP_b1915039793t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1271180905l_bool,type,
hAPP_f1271180905l_bool: ( $i * $i ) > $i ).
tff(cOMBK_2076140708t_bool,type,
cOMBK_2076140708t_bool: $i ).
tff(is_fun917378774i_bool,type,
is_fun917378774i_bool: $i > $o ).
tff(cOMBK_886533338t_bool,type,
cOMBK_886533338t_bool: $i ).
tff(cOMBS_102864562t_bool,type,
cOMBS_102864562t_bool: ( $i * $i ) > $i ).
tff(is_fun959573582l_bool,type,
is_fun959573582l_bool: $i > $o ).
tff(hAPP_b1817367815le_alt,type,
hAPP_b1817367815le_alt: ( $i * $i ) > $i ).
tff(product_prod,type,
product_prod: ( $i * $i ) > $i ).
tff(cOMBK_2008994872le_alt,type,
cOMBK_2008994872le_alt: $i ).
tff(member387398118l_bool,type,
member387398118l_bool: $i > $i ).
tff(hAPP_f483434675l_bool,type,
hAPP_f483434675l_bool: ( $i * $i ) > $i ).
tff(member1622429502t_bool,type,
member1622429502t_bool: $i > $i ).
tff(hAPP_f1336478923t_bool,type,
hAPP_f1336478923t_bool: ( $i * $i ) > $i ).
tff(cOMBK_1157044842e_indi,type,
cOMBK_1157044842e_indi: $i ).
tff(hAPP_f745298353l_bool,type,
hAPP_f745298353l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1818473245e_indi,type,
hAPP_f1818473245e_indi: ( $i * $i ) > $i ).
tff(hAPP_A1736628091le_alt,type,
hAPP_A1736628091le_alt: ( $i * $i ) > $i ).
tff(member1105181906e_indi,type,
member1105181906e_indi: $i > $i ).
tff(member_bool,type,
member_bool: $i > $i ).
tff(hAPP_A869356733t_bool,type,
hAPP_A869356733t_bool: ( $i * $i ) > $i ).
tff(hAPP_A1594182429t_bool,type,
hAPP_A1594182429t_bool: ( $i * $i ) > $i ).
tff(ord_le453141089l_bool,type,
ord_le453141089l_bool: $i ).
tff(member1467476314t_bool,type,
member1467476314t_bool: $i > $i ).
tff(finite120254591e_indi,type,
finite120254591e_indi: $i > $i ).
tff(hAPP_f1677452273i_bool,type,
hAPP_f1677452273i_bool: ( $i * $i ) > $i ).
tff(inj_on24934938di_nat,type,
inj_on24934938di_nat: ( $i * $i ) > $i ).
tff(hAPP_f1018082273l_bool,type,
hAPP_f1018082273l_bool: ( $i * $i ) > $i ).
tff(arrow_2061665457ctator,type,
arrow_2061665457ctator: $i ).
tff(hAPP_f1520552209t_bool,type,
hAPP_f1520552209t_bool: ( $i * $i ) > $i ).
tff(pi_Pro437273841e_indi,type,
pi_Pro437273841e_indi: ( $i * $i ) > $i ).
tff(hAPP_P2024088443e_indi,type,
hAPP_P2024088443e_indi: ( $i * $i ) > $i ).
tff(member1277417654t_bool,type,
member1277417654t_bool: $i > $i ).
tff(hAPP_P2075002375t_bool,type,
hAPP_P2075002375t_bool: ( $i * $i ) > $i ).
tff(collec1711870802le_alt,type,
collec1711870802le_alt: $i > $i ).
tff(member1833291218t_bool,type,
member1833291218t_bool: $i > $i ).
tff(member1965683644t_bool,type,
member1965683644t_bool: $i > $i ).
tff(arrow_2110637339e_indi,type,
arrow_2110637339e_indi: $i ).
tff(hAPP_A1374816149t_bool,type,
hAPP_A1374816149t_bool: ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(member1033316428l_bool,type,
member1033316428l_bool: $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i * $i ) > $i ).
tff(hAPP_f448497509l_bool,type,
hAPP_f448497509l_bool: ( $i * $i ) > $i ).
tff(cOMBK_697786936l_bool,type,
cOMBK_697786936l_bool: $i ).
tff(hAPP_A702630576t_bool,type,
hAPP_A702630576t_bool: ( $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff(member2081512038t_bool,type,
member2081512038t_bool: $i > $i ).
tff(top_to40512653l_bool,type,
top_to40512653l_bool: $i ).
tff(hAPP_A1922697556t_bool,type,
hAPP_A1922697556t_bool: ( $i * $i ) > $i ).
tff(cOMBK_580911210t_bool,type,
cOMBK_580911210t_bool: $i ).
tff(hAPP_f681113465i_bool,type,
hAPP_f681113465i_bool: ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i ) > $i ).
tff(n,type,
n: $i ).
tff(hAPP_A1466488369i_bool,type,
hAPP_A1466488369i_bool: ( $i * $i ) > $i ).
tff(hAPP_f497468491l_bool,type,
hAPP_f497468491l_bool: ( $i * $i ) > $i ).
tff(fTrue,type,
fTrue: $i ).
tff(hAPP_f749892423i_bool,type,
hAPP_f749892423i_bool: ( $i * $i ) > $i ).
tff(d,type,
d: $i ).
tff(hAPP_f1970593179i_bool,type,
hAPP_f1970593179i_bool: ( $i * $i ) > $i ).
tff(hAPP_f2056167603l_bool,type,
hAPP_f2056167603l_bool: ( $i * $i ) > $i ).
tff(pi_boo1877522301le_alt,type,
pi_boo1877522301le_alt: ( $i * $i ) > $i ).
tff(hAPP_f159424297t_bool,type,
hAPP_f159424297t_bool: ( $i * $i ) > $i ).
tff(cOMBK_971068024l_bool,type,
cOMBK_971068024l_bool: $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(hAPP_n385347014e_indi,type,
hAPP_n385347014e_indi: ( $i * $i ) > $i ).
tff(arrow_2077223396_mkbot,type,
arrow_2077223396_mkbot: $i ).
tff(hAPP_n1699378549t_bool,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff(hAPP_f785543729l_bool,type,
hAPP_f785543729l_bool: ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(hAPP_f1235573641l_bool,type,
hAPP_f1235573641l_bool: ( $i * $i ) > $i ).
tff(hAPP_b833696937t_bool,type,
hAPP_b833696937t_bool: ( $i * $i ) > $i ).
tff(cOMBK_116240846e_indi,type,
cOMBK_116240846e_indi: $i ).
tff(cOMBK_100791596le_alt,type,
cOMBK_100791596le_alt: $i ).
tff(is_Arr553848933le_alt,type,
is_Arr553848933le_alt: $i > $o ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(hAPP_f453661011l_bool,type,
hAPP_f453661011l_bool: ( $i * $i ) > $i ).
tff(hAPP_f813556705l_bool,type,
hAPP_f813556705l_bool: ( $i * $i ) > $i ).
tff(hAPP_f355113919i_bool,type,
hAPP_f355113919i_bool: ( $i * $i ) > $i ).
tff(cOMBK_1072228194t_bool,type,
cOMBK_1072228194t_bool: $i ).
tff(hAPP_b1719629739l_bool,type,
hAPP_b1719629739l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1979025587l_bool,type,
hAPP_f1979025587l_bool: ( $i * $i ) > $i ).
tff(hAPP_b990649139l_bool,type,
hAPP_b990649139l_bool: ( $i * $i ) > $i ).
tff(hAPP_f919661787l_bool,type,
hAPP_f919661787l_bool: ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i * $i ) > $i ).
tff(collec1520786044t_bool,type,
collec1520786044t_bool: $i > $i ).
tff(member1911067358t_bool,type,
member1911067358t_bool: $i > $i ).
tff(is_Arr625519182e_indi,type,
is_Arr625519182e_indi: $i > $o ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(hAPP_A1333445289t_bool,type,
hAPP_A1333445289t_bool: ( $i * $i ) > $i ).
tff(e,type,
e: $i ).
tff(hAPP_b1024867081t_bool,type,
hAPP_b1024867081t_bool: ( $i * $i ) > $i ).
tff(undefi1301554228le_alt,type,
undefi1301554228le_alt: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(cOMBS_867867294t_bool,type,
cOMBS_867867294t_bool: ( $i * $i ) > $i ).
tff(cOMBB_1292070696e_indi,type,
cOMBB_1292070696e_indi: ( $i * $i ) > $i ).
tff(hAPP_f1760255479l_bool,type,
hAPP_f1760255479l_bool: ( $i * $i ) > $i ).
tff(is_fun631676118l_bool,type,
is_fun631676118l_bool: $i > $o ).
tff(p,type,
p: $i ).
tff(hAPP_A619995676t_bool,type,
hAPP_A619995676t_bool: ( $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff(hAPP_P2127852789l_bool,type,
hAPP_P2127852789l_bool: ( $i * $i ) > $i ).
tff(hAPP_f618619045e_indi,type,
hAPP_f618619045e_indi: ( $i * $i ) > $i ).
tff(cOMBK_1158753900e_indi,type,
cOMBK_1158753900e_indi: $i ).
tff(hAPP_f1290184496t_bool,type,
hAPP_f1290184496t_bool: ( $i * $i ) > $i ).
tff(cOMBK_697604314l_bool,type,
cOMBK_697604314l_bool: $i ).
tff(hAPP_f1710416135l_bool,type,
hAPP_f1710416135l_bool: ( $i * $i ) > $i ).
tff(fFalse,type,
fFalse: $i ).
tff(ord_le272605321l_bool,type,
ord_le272605321l_bool: $i ).
tff(top_to2034604131t_bool,type,
top_to2034604131t_bool: $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff(cOMBB_69933763e_indi,type,
cOMBB_69933763e_indi: ( $i * $i ) > $i ).
tff(hilber1792103167di_nat,type,
hilber1792103167di_nat: ( $i * $i ) > $i ).
tff(member329987264e_indi,type,
member329987264e_indi: $i > $i ).
tff(hAPP_A588601142di_nat,type,
hAPP_A588601142di_nat: ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(hAPP_A460042315t_bool,type,
hAPP_A460042315t_bool: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(pi_boo691944735t_bool,type,
pi_boo691944735t_bool: ( $i * $i ) > $i ).
tff(arrow_467566751nimity,type,
arrow_467566751nimity: $i ).
tff(arrow_1812558424le_alt,type,
arrow_1812558424le_alt: $i ).
tff(ord_le227393471t_bool,type,
ord_le227393471t_bool: $i ).
tff(member859582768le_alt,type,
member859582768le_alt: $i > $i ).
tff(hAPP_A1944296755l_bool,type,
hAPP_A1944296755l_bool: ( $i * $i ) > $i ).
tff(member1122398042e_indi,type,
member1122398042e_indi: $i > $i ).
tff(hAPP_f1903519657i_bool,type,
hAPP_f1903519657i_bool: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_1707,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f_468,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).
tff(f_465,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_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(c_1050,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(cnfTransformation,[status(thm)],[f_1707]) ).
tff(c_326,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
inference(cnfTransformation,[status(thm)],[f_468]) ).
tff(c_1110,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
inference(negUnitSimplification,[status(thm)],[c_1050,c_326]) ).
tff(c_324,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
inference(cnfTransformation,[status(thm)],[f_465]) ).
tff(c_1111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1110,c_324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.35 % Computer : n005.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 3 13:12:56 EDT 2023
% 0.16/0.35 % CPUTime :
% 7.71/2.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.71/2.85
% 7.71/2.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.71/2.88
% 7.71/2.88 Inference rules
% 7.71/2.88 ----------------------
% 7.71/2.88 #Ref : 0
% 7.71/2.88 #Sup : 0
% 7.71/2.88 #Fact : 0
% 7.71/2.88 #Define : 0
% 7.71/2.88 #Split : 0
% 7.71/2.88 #Chain : 0
% 7.71/2.88 #Close : 0
% 7.71/2.88
% 7.71/2.88 Ordering : KBO
% 7.71/2.88
% 7.71/2.88 Simplification rules
% 7.71/2.88 ----------------------
% 7.71/2.88 #Subsume : 430
% 7.71/2.88 #Demod : 111
% 7.71/2.88 #Tautology : 90
% 7.71/2.88 #SimpNegUnit : 6
% 7.71/2.88 #BackRed : 0
% 7.71/2.88
% 7.71/2.88 #Partial instantiations: 0
% 7.71/2.88 #Strategies tried : 1
% 7.71/2.88
% 7.71/2.88 Timing (in seconds)
% 7.71/2.88 ----------------------
% 7.71/2.88 Preprocessing : 1.41
% 7.71/2.89 Parsing : 0.74
% 7.71/2.89 CNF conversion : 0.12
% 7.71/2.89 Main loop : 0.42
% 7.71/2.89 Inferencing : 0.00
% 7.71/2.89 Reduction : 0.25
% 7.71/2.89 Demodulation : 0.19
% 7.71/2.89 BG Simplification : 0.10
% 7.71/2.89 Subsumption : 0.11
% 7.71/2.89 Abstraction : 0.02
% 7.71/2.89 MUC search : 0.00
% 7.71/2.89 Cooper : 0.00
% 7.71/2.89 Total : 1.87
% 7.71/2.89 Index Insertion : 0.00
% 7.71/2.89 Index Deletion : 0.00
% 7.71/2.89 Index Matching : 0.00
% 7.71/2.89 BG Taut test : 0.00
%------------------------------------------------------------------------------