TSTP Solution File: SCT171+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : Thu Aug 31 14:11:31 EDT 2023
% Result : Theorem 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 259
% Syntax : Number of formulae : 266 ( 7 unt; 256 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 : 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 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
arrow_1212118780le_IIA: $i ).
tff(decl_23,type,
is_fun631676118l_bool: $i > $o ).
tff(decl_24,type,
arrow_1239002508le_Lin: $i ).
tff(decl_25,type,
is_fun432044380l_bool: $i > $o ).
tff(decl_26,type,
arrow_413697182e_Prof: $i ).
tff(decl_27,type,
is_fun959573582l_bool: $i > $o ).
tff(decl_28,type,
arrow_467566751nimity: $i ).
tff(decl_29,type,
cOMBC_277798809t_bool: ( $i * $i ) > $i ).
tff(decl_30,type,
is_fun917378774i_bool: $i > $o ).
tff(decl_31,type,
inj_on24934938di_nat: ( $i * $i ) > $i ).
tff(decl_32,type,
is_bool: $i > $o ).
tff(decl_33,type,
pi_Arr688267935t_bool: ( $i * $i ) > $i ).
tff(decl_34,type,
pi_fun433100839t_bool: ( $i * $i ) > $i ).
tff(decl_35,type,
is_fun282293932t_bool: $i > $o ).
tff(decl_36,type,
pi_Pro2135156861t_bool: ( $i * $i ) > $i ).
tff(decl_37,type,
arrow_1812558424le_alt: $i ).
tff(decl_38,type,
undefi1301554228le_alt: $i > $i ).
tff(decl_39,type,
is_Arr553848933le_alt: $i > $o ).
tff(decl_40,type,
arrow_2110637339e_indi: $i ).
tff(decl_41,type,
undefi818645567e_indi: $i > $i ).
tff(decl_42,type,
is_Arr625519182e_indi: $i > $o ).
tff(decl_43,type,
product_prod: ( $i * $i ) > $i ).
tff(decl_44,type,
bool: $i ).
tff(decl_45,type,
fun: ( $i * $i ) > $i ).
tff(decl_46,type,
undefi802509179t_bool: $i > $i ).
tff(decl_47,type,
hilber1792103167di_nat: ( $i * $i ) > $i ).
tff(decl_48,type,
is_fun1016509681e_indi: $i > $o ).
tff(decl_49,type,
top_top_bool: $i ).
tff(decl_50,type,
top_to1256827021i_bool: $i ).
tff(decl_51,type,
top_to1194196741l_bool: $i ).
tff(decl_52,type,
top_to40512653l_bool: $i ).
tff(decl_53,type,
top_to2005687013l_bool: $i ).
tff(decl_54,type,
top_to2034604131t_bool: $i ).
tff(decl_55,type,
collec45183100e_indi: $i > $i ).
tff(decl_56,type,
collec1580242420t_bool: $i > $i ).
tff(decl_57,type,
collec1520786044t_bool: $i > $i ).
tff(decl_58,type,
collec874260222t_bool: $i > $i ).
tff(decl_59,type,
collec1711870802le_alt: $i > $i ).
tff(decl_60,type,
fFalse: $i ).
tff(decl_61,type,
fTrue: $i ).
tff(decl_62,type,
hAPP_A619995676t_bool: ( $i * $i ) > $i ).
tff(decl_63,type,
hAPP_A1466488369i_bool: ( $i * $i ) > $i ).
tff(decl_64,type,
hAPP_A1912483895l_bool: ( $i * $i ) > $i ).
tff(decl_65,type,
hAPP_A1964572607l_bool: ( $i * $i ) > $i ).
tff(decl_66,type,
hAPP_A1944296755l_bool: ( $i * $i ) > $i ).
tff(decl_67,type,
hAPP_A1374816149t_bool: ( $i * $i ) > $i ).
tff(decl_68,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(decl_69,type,
hAPP_b1018211123i_bool: ( $i * $i ) > $i ).
tff(decl_70,type,
hAPP_b1719629739l_bool: ( $i * $i ) > $i ).
tff(decl_71,type,
hAPP_b990649139l_bool: ( $i * $i ) > $i ).
tff(decl_72,type,
hAPP_b1965422783l_bool: ( $i * $i ) > $i ).
tff(decl_73,type,
hAPP_b1024867081t_bool: ( $i * $i ) > $i ).
tff(decl_74,type,
hAPP_n385347014e_indi: ( $i * $i ) > $i ).
tff(decl_75,type,
hAPP_nat_bool: ( $i * $i ) > $i ).
tff(decl_76,type,
hAPP_f919661787l_bool: ( $i * $i ) > $i ).
tff(decl_77,type,
hAPP_f1818473245e_indi: ( $i * $i ) > $i ).
tff(decl_78,type,
hAPP_f1636546729l_bool: ( $i * $i ) > $i ).
tff(decl_79,type,
hAPP_f749892423i_bool: ( $i * $i ) > $i ).
tff(decl_80,type,
hAPP_f861484971l_bool: ( $i * $i ) > $i ).
tff(decl_81,type,
hAPP_f695124765t_bool: ( $i * $i ) > $i ).
tff(decl_82,type,
hAPP_f387058535l_bool: ( $i * $i ) > $i ).
tff(decl_83,type,
hAPP_f204273237l_bool: ( $i * $i ) > $i ).
tff(decl_84,type,
hAPP_f1012384989l_bool: ( $i * $i ) > $i ).
tff(decl_85,type,
hAPP_f453661011l_bool: ( $i * $i ) > $i ).
tff(decl_86,type,
hAPP_f618619045e_indi: ( $i * $i ) > $i ).
tff(decl_87,type,
hAPP_f785543729l_bool: ( $i * $i ) > $i ).
tff(decl_88,type,
hAPP_f355113919i_bool: ( $i * $i ) > $i ).
tff(decl_89,type,
hAPP_f483434675l_bool: ( $i * $i ) > $i ).
tff(decl_90,type,
hAPP_f1018082273l_bool: ( $i * $i ) > $i ).
tff(decl_91,type,
hAPP_f1271180905l_bool: ( $i * $i ) > $i ).
tff(decl_92,type,
hAPP_f1550037191l_bool: ( $i * $i ) > $i ).
tff(decl_93,type,
hAPP_f1895985727l_bool: ( $i * $i ) > $i ).
tff(decl_94,type,
hAPP_f234874197l_bool: ( $i * $i ) > $i ).
tff(decl_95,type,
hAPP_f500145249l_bool: ( $i * $i ) > $i ).
tff(decl_96,type,
hAPP_f213304539l_bool: ( $i * $i ) > $i ).
tff(decl_97,type,
hAPP_f1766869725l_bool: ( $i * $i ) > $i ).
tff(decl_98,type,
hAPP_f1279200745l_bool: ( $i * $i ) > $i ).
tff(decl_99,type,
hAPP_f592909149l_bool: ( $i * $i ) > $i ).
tff(decl_100,type,
hAPP_f526292585l_bool: ( $i * $i ) > $i ).
tff(decl_101,type,
hAPP_f460310451l_bool: ( $i * $i ) > $i ).
tff(decl_102,type,
hAPP_f503012287l_bool: ( $i * $i ) > $i ).
tff(decl_103,type,
hAPP_f1659504677e_indi: ( $i * $i ) > $i ).
tff(decl_104,type,
hAPP_f745298353l_bool: ( $i * $i ) > $i ).
tff(decl_105,type,
hAPP_f352490559i_bool: ( $i * $i ) > $i ).
tff(decl_106,type,
hAPP_f2056167603l_bool: ( $i * $i ) > $i ).
tff(decl_107,type,
hAPP_f1673487381t_bool: ( $i * $i ) > $i ).
tff(decl_108,type,
hAPP_P2024088443e_indi: ( $i * $i ) > $i ).
tff(decl_109,type,
hAPP_P2075002375t_bool: ( $i * $i ) > $i ).
tff(decl_110,type,
hAPP_P907763049i_bool: ( $i * $i ) > $i ).
tff(decl_111,type,
member1056080916le_alt: $i > $i ).
tff(decl_112,type,
lab: $i ).
tff(decl_113,type,
lba: $i ).
tff(decl_114,type,
a: $i ).
tff(decl_115,type,
b: $i ).
tff(decl_116,type,
c: $i ).
tff(decl_117,type,
d: $i ).
tff(decl_118,type,
e: $i ).
tff(decl_119,type,
f: $i ).
tff(decl_120,type,
hBOOL: $i > $o ).
tff(decl_121,type,
p: $i ).
tff(decl_122,type,
member1277417654t_bool: $i > $i ).
tff(decl_123,type,
produc171383831le_alt: ( $i * $i ) > $i ).
tff(decl_124,type,
arrow_2077223396_mkbot: $i ).
tff(decl_125,type,
hAPP_f1290184496t_bool: ( $i * $i ) > $i ).
tff(decl_126,type,
arrow_78446834_mktop: $i ).
tff(decl_127,type,
ord_less_nat: $i ).
tff(decl_128,type,
h: $i ).
tff(decl_129,type,
hAPP_A588601142di_nat: ( $i * $i ) > $i ).
tff(decl_130,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff(decl_131,type,
n: $i ).
tff(decl_132,type,
arrow_812378712_above: $i ).
tff(decl_133,type,
hAPP_f1336478923t_bool: ( $i * $i ) > $i ).
tff(decl_134,type,
hAPP_A384644407t_bool: ( $i * $i ) > $i ).
tff(decl_135,type,
if_fun1419651289t_bool: $i ).
tff(decl_136,type,
cOMBB_317992461e_indi: ( $i * $i ) > $i ).
tff(decl_137,type,
cOMBB_963584201e_indi: ( $i * $i ) > $i ).
tff(decl_138,type,
cOMBB_1292070696e_indi: ( $i * $i ) > $i ).
tff(decl_139,type,
cOMBC_1778077589t_bool: ( $i * $i ) > $i ).
tff(decl_140,type,
cOMBS_102864562t_bool: ( $i * $i ) > $i ).
tff(decl_141,type,
fequal_nat: $i ).
tff(decl_142,type,
cOMBB_69933763e_indi: ( $i * $i ) > $i ).
tff(decl_143,type,
cOMBC_493523632t_bool: ( $i * $i ) > $i ).
tff(decl_144,type,
cOMBS_867867294t_bool: ( $i * $i ) > $i ).
tff(decl_145,type,
finite120254591e_indi: $i > $i ).
tff(decl_146,type,
member_bool: $i > $i ).
tff(decl_147,type,
top_to1647826457l_bool: $i ).
tff(decl_148,type,
member2074804542e_indi: $i > $i ).
tff(decl_149,type,
member1622429502t_bool: $i > $i ).
tff(decl_150,type,
member1965683644t_bool: $i > $i ).
tff(decl_151,type,
ord_le272605321l_bool: $i ).
tff(decl_152,type,
hAPP_f1669465919l_bool: ( $i * $i ) > $i ).
tff(decl_153,type,
ord_le453141089l_bool: $i ).
tff(decl_154,type,
hAPP_f1760255479l_bool: ( $i * $i ) > $i ).
tff(decl_155,type,
ord_le1480133609l_bool: $i ).
tff(decl_156,type,
hAPP_f281286919l_bool: ( $i * $i ) > $i ).
tff(decl_157,type,
ord_less_bool: $i ).
tff(decl_158,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(decl_159,type,
ord_le227393471t_bool: $i ).
tff(decl_160,type,
ord_le694128617i_bool: $i ).
tff(decl_161,type,
hAPP_f1710416135l_bool: ( $i * $i ) > $i ).
tff(decl_162,type,
cOMBK_977355664t_bool: $i ).
tff(decl_163,type,
cOMBK_789167586t_bool: $i ).
tff(decl_164,type,
cOMBK_580911210t_bool: $i ).
tff(decl_165,type,
cOMBK_2069093696le_alt: $i ).
tff(decl_166,type,
cOMBK_1157044842e_indi: $i ).
tff(decl_167,type,
cOMBK_1088865252t_bool: $i ).
tff(decl_168,type,
hAPP_f20355883l_bool: ( $i * $i ) > $i ).
tff(decl_169,type,
cOMBK_1152753196e_indi: $i ).
tff(decl_170,type,
hAPP_f1507266205t_bool: ( $i * $i ) > $i ).
tff(decl_171,type,
arrow_2061665457ctator: $i ).
tff(decl_172,type,
hAPP_P2127852789l_bool: ( $i * $i ) > $i ).
tff(decl_173,type,
member859582768le_alt: $i > $i ).
tff(decl_174,type,
pi_Arr149813489le_alt: ( $i * $i ) > $i ).
tff(decl_175,type,
hAPP_A1736628091le_alt: ( $i * $i ) > $i ).
tff(decl_176,type,
member42699324le_alt: $i > $i ).
tff(decl_177,type,
pi_boo1877522301le_alt: ( $i * $i ) > $i ).
tff(decl_178,type,
hAPP_b1817367815le_alt: ( $i * $i ) > $i ).
tff(decl_179,type,
member1833291218t_bool: $i > $i ).
tff(decl_180,type,
pi_Arr1511953043t_bool: ( $i * $i ) > $i ).
tff(decl_181,type,
hAPP_A1594182429t_bool: ( $i * $i ) > $i ).
tff(decl_182,type,
member1911067358t_bool: $i > $i ).
tff(decl_183,type,
pi_boo691944735t_bool: ( $i * $i ) > $i ).
tff(decl_184,type,
hAPP_b833696937t_bool: ( $i * $i ) > $i ).
tff(decl_185,type,
member1467476314t_bool: $i > $i ).
tff(decl_186,type,
pi_Arr372473371t_bool: ( $i * $i ) > $i ).
tff(decl_187,type,
hAPP_A1062826149t_bool: ( $i * $i ) > $i ).
tff(decl_188,type,
member2081512038t_bool: $i > $i ).
tff(decl_189,type,
pi_boo71521447t_bool: ( $i * $i ) > $i ).
tff(decl_190,type,
hAPP_b331122225t_bool: ( $i * $i ) > $i ).
tff(decl_191,type,
member497701034t_bool: $i > $i ).
tff(decl_192,type,
pi_boo2007389459t_bool: ( $i * $i ) > $i ).
tff(decl_193,type,
member765089840e_indi: $i > $i ).
tff(decl_194,type,
pi_Pro437273841e_indi: ( $i * $i ) > $i ).
tff(decl_195,type,
member1105181906e_indi: $i > $i ).
tff(decl_196,type,
pi_fun1736243859e_indi: ( $i * $i ) > $i ).
tff(decl_197,type,
member1661336414l_bool: $i > $i ).
tff(decl_198,type,
pi_fun1494794527l_bool: ( $i * $i ) > $i ).
tff(decl_199,type,
hAPP_f313042899l_bool: ( $i * $i ) > $i ).
tff(decl_200,type,
member1122398042e_indi: $i > $i ).
tff(decl_201,type,
pi_fun2075749915e_indi: ( $i * $i ) > $i ).
tff(decl_202,type,
member387398118l_bool: $i > $i ).
tff(decl_203,type,
pi_fun525942951l_bool: ( $i * $i ) > $i ).
tff(decl_204,type,
hAPP_f497468491l_bool: ( $i * $i ) > $i ).
tff(decl_205,type,
member329987264e_indi: $i > $i ).
tff(decl_206,type,
pi_fun972956463e_indi: ( $i * $i ) > $i ).
tff(decl_207,type,
member1033316428l_bool: $i > $i ).
tff(decl_208,type,
pi_fun1727820731l_bool: ( $i * $i ) > $i ).
tff(decl_209,type,
hAPP_f417299659l_bool: ( $i * $i ) > $i ).
tff(decl_210,type,
cOMBC_481590946t_bool: ( $i * $i ) > $i ).
tff(decl_211,type,
cOMBC_437064334t_bool: ( $i * $i ) > $i ).
tff(decl_212,type,
cOMBK_1158753900e_indi: $i ).
tff(decl_213,type,
hAPP_f1979025587l_bool: ( $i * $i ) > $i ).
tff(decl_214,type,
cOMBK_2008994872le_alt: $i ).
tff(decl_215,type,
hAPP_f1724001331l_bool: ( $i * $i ) > $i ).
tff(decl_216,type,
cOMBK_100791596le_alt: $i ).
tff(decl_217,type,
hAPP_f1970593179i_bool: ( $i * $i ) > $i ).
tff(decl_218,type,
cOMBK_454107598t_bool: $i ).
tff(decl_219,type,
hAPP_f681113465i_bool: ( $i * $i ) > $i ).
tff(decl_220,type,
cOMBK_886533338t_bool: $i ).
tff(decl_221,type,
hAPP_f219827985l_bool: ( $i * $i ) > $i ).
tff(decl_222,type,
cOMBK_1372975190t_bool: $i ).
tff(decl_223,type,
hAPP_f1677452273i_bool: ( $i * $i ) > $i ).
tff(decl_224,type,
cOMBK_1072228194t_bool: $i ).
tff(decl_225,type,
hAPP_f1235573641l_bool: ( $i * $i ) > $i ).
tff(decl_226,type,
cOMBK_2076140708t_bool: $i ).
tff(decl_227,type,
hAPP_f1903519657i_bool: ( $i * $i ) > $i ).
tff(decl_228,type,
cOMBK_1015076504t_bool: $i ).
tff(decl_229,type,
hAPP_f1667233577l_bool: ( $i * $i ) > $i ).
tff(decl_230,type,
cOMBK_697786936l_bool: $i ).
tff(decl_231,type,
hAPP_f1520552209t_bool: ( $i * $i ) > $i ).
tff(decl_232,type,
cOMBK_116240846e_indi: $i ).
tff(decl_233,type,
hAPP_f813556705l_bool: ( $i * $i ) > $i ).
tff(decl_234,type,
cOMBK_697604314l_bool: $i ).
tff(decl_235,type,
hAPP_f371807573l_bool: ( $i * $i ) > $i ).
tff(decl_236,type,
cOMBK_1292462166e_indi: $i ).
tff(decl_237,type,
hAPP_f1697527281l_bool: ( $i * $i ) > $i ).
tff(decl_238,type,
cOMBK_1268833122l_bool: $i ).
tff(decl_239,type,
hAPP_f448497509l_bool: ( $i * $i ) > $i ).
tff(decl_240,type,
cOMBK_971068024l_bool: $i ).
tff(decl_241,type,
hAPP_f2135750719l_bool: ( $i * $i ) > $i ).
tff(decl_242,type,
hAPP_A1922697556t_bool: ( $i * $i ) > $i ).
tff(decl_243,type,
hAPP_b1915039793t_bool: ( $i * $i ) > $i ).
tff(decl_244,type,
hAPP_f159424297t_bool: ( $i * $i ) > $i ).
tff(decl_245,type,
hAPP_A702630576t_bool: ( $i * $i ) > $i ).
tff(decl_246,type,
hAPP_A460042315t_bool: ( $i * $i ) > $i ).
tff(decl_247,type,
hAPP_A1333445289t_bool: ( $i * $i ) > $i ).
tff(decl_248,type,
hAPP_A869356733t_bool: ( $i * $i ) > $i ).
tff(decl_249,type,
esk1_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_250,type,
esk2_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_251,type,
esk3_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_252,type,
esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_253,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_254,type,
esk6_1: $i > $i ).
tff(decl_255,type,
esk7_1: $i > $i ).
tff(decl_256,type,
esk8_1: $i > $i ).
tff(decl_257,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_258,type,
esk10_1: $i > $i ).
tff(decl_259,type,
esk11_1: $i > $i ).
tff(decl_260,type,
esk12_1: $i > $i ).
tff(decl_261,type,
esk13_1: $i > $i ).
tff(decl_262,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_263,type,
esk15_1: $i > $i ).
tff(decl_264,type,
esk16_1: $i > $i ).
tff(decl_265,type,
esk17_1: $i > $i ).
tff(decl_266,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_267,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_268,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_269,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_270,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_271,type,
esk23_1: $i > $i ).
tff(decl_272,type,
esk24_1: $i > $i ).
tff(decl_273,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_274,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_275,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_276,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_277,type,
esk29_2: ( $i * $i ) > $i ).
fof(fact_14_PW,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) ).
fof(conj_0,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) ).
fof(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,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) ).
fof(c_0_3,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)))))) )
& ( ~ 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))))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[fact_14_PW]) ).
fof(c_0_4,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_5,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(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,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(split_conjunct,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
cnf(c_0_8,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(sr,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 14:59:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.64 % Version : CSE_E---1.5
% 0.21/0.64 % Problem : theBenchmark.p
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark.p
% 0.21/0.64 % SZS output start Proof
% See solution above
% 0.21/0.65 % Total time : 0.065000 s
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time : 0.077000 s
%------------------------------------------------------------------------------