TSTP Solution File: SWW473+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW473+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 : n032.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 : Fri Sep 1 00:18:01 EDT 2023
% Result : Theorem 0.12s 0.59s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 255
% Syntax : Number of formulae : 269 ( 13 unt; 249 typ; 0 def)
% Number of atoms : 35 ( 3 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 10 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 348 ( 193 >; 155 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 241 ( 241 usr; 56 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
is_fun_a_bool: $i > $o ).
tff(decl_23,type,
cOMBB_bool_bool_a: ( $i * $i ) > $i ).
tff(decl_24,type,
is_fun_pname_bool: $i > $o ).
tff(decl_25,type,
cOMBB_647938656_pname: ( $i * $i ) > $i ).
tff(decl_26,type,
is_fun949378684l_bool: $i > $o ).
tff(decl_27,type,
cOMBB_2140588453a_bool: ( $i * $i ) > $i ).
tff(decl_28,type,
is_fun1661590463l_bool: $i > $o ).
tff(decl_29,type,
cOMBB_307249310e_bool: ( $i * $i ) > $i ).
tff(decl_30,type,
cOMBS_a_bool_bool: ( $i * $i ) > $i ).
tff(decl_31,type,
cOMBS_568398431l_bool: ( $i * $i ) > $i ).
tff(decl_32,type,
cOMBS_1035972772l_bool: ( $i * $i ) > $i ).
tff(decl_33,type,
cOMBS_350070575l_bool: ( $i * $i ) > $i ).
tff(decl_34,type,
finite_finite_a: $i ).
tff(decl_35,type,
finite_finite_pname: $i ).
tff(decl_36,type,
x_a: $i ).
tff(decl_37,type,
undefined_a: $i > $i ).
tff(decl_38,type,
is_a: $i > $o ).
tff(decl_39,type,
pname: $i ).
tff(decl_40,type,
undefined_pname: $i > $i ).
tff(decl_41,type,
is_pname: $i > $o ).
tff(decl_42,type,
bool: $i ).
tff(decl_43,type,
fun: ( $i * $i ) > $i ).
tff(decl_44,type,
undefined_fun_a_bool: $i > $i ).
tff(decl_45,type,
undefi17486888e_bool: $i > $i ).
tff(decl_46,type,
undefi1699038445l_bool: $i > $i ).
tff(decl_47,type,
undefi64961550l_bool: $i > $i ).
tff(decl_48,type,
collect_a: $i > $i ).
tff(decl_49,type,
collect_pname: $i > $i ).
tff(decl_50,type,
collect_fun_a_bool: $i > $i ).
tff(decl_51,type,
collec1974731493e_bool: $i > $i ).
tff(decl_52,type,
image_a_a: ( $i * $i ) > $i ).
tff(decl_53,type,
image_a_pname: ( $i * $i ) > $i ).
tff(decl_54,type,
image_pname_a: ( $i * $i ) > $i ).
tff(decl_55,type,
image_pname_pname: ( $i * $i ) > $i ).
tff(decl_56,type,
image_112932426a_bool: ( $i * $i ) > $i ).
tff(decl_57,type,
image_47868345e_bool: ( $i * $i ) > $i ).
tff(decl_58,type,
image_nat_a: ( $i * $i ) > $i ).
tff(decl_59,type,
image_nat_pname: ( $i * $i ) > $i ).
tff(decl_60,type,
image_nat_fun_a_bool: ( $i * $i ) > $i ).
tff(decl_61,type,
image_1655916159e_bool: ( $i * $i ) > $i ).
tff(decl_62,type,
image_fun_a_bool_a: ( $i * $i ) > $i ).
tff(decl_63,type,
image_1854862208_pname: ( $i * $i ) > $i ).
tff(decl_64,type,
image_876012084bool_a: ( $i * $i ) > $i ).
tff(decl_65,type,
image_1283814551_pname: ( $i * $i ) > $i ).
tff(decl_66,type,
image_fun_nat_bool_a: ( $i * $i ) > $i ).
tff(decl_67,type,
image_1921560913_pname: ( $i * $i ) > $i ).
tff(decl_68,type,
image_573985017bool_a: ( $i * $i ) > $i ).
tff(decl_69,type,
image_990671762_pname: ( $i * $i ) > $i ).
tff(decl_70,type,
image_349102846bool_a: ( $i * $i ) > $i ).
tff(decl_71,type,
image_1705983821_pname: ( $i * $i ) > $i ).
tff(decl_72,type,
image_526090948bool_a: ( $i * $i ) > $i ).
tff(decl_73,type,
image_1604018183_pname: ( $i * $i ) > $i ).
tff(decl_74,type,
insert_a: ( $i * $i ) > $i ).
tff(decl_75,type,
insert_pname: ( $i * $i ) > $i ).
tff(decl_76,type,
insert_fun_a_bool: ( $i * $i ) > $i ).
tff(decl_77,type,
insert1325755072e_bool: ( $i * $i ) > $i ).
tff(decl_78,type,
hAPP_a_bool: ( $i * $i ) > $i ).
tff(decl_79,type,
is_bool: $i > $o ).
tff(decl_80,type,
hAPP_a_fun_a_bool: ( $i * $i ) > $i ).
tff(decl_81,type,
hAPP_a93125764e_bool: ( $i * $i ) > $i ).
tff(decl_82,type,
hAPP_a85458249l_bool: ( $i * $i ) > $i ).
tff(decl_83,type,
hAPP_pname_a: ( $i * $i ) > $i ).
tff(decl_84,type,
hAPP_pname_bool: ( $i * $i ) > $i ).
tff(decl_85,type,
hAPP_p1534023578a_bool: ( $i * $i ) > $i ).
tff(decl_86,type,
hAPP_p61793385e_bool: ( $i * $i ) > $i ).
tff(decl_87,type,
hAPP_p338031245l_bool: ( $i * $i ) > $i ).
tff(decl_88,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(decl_89,type,
hAPP_nat_bool: ( $i * $i ) > $i ).
tff(decl_90,type,
hAPP_nat_fun_a_bool: ( $i * $i ) > $i ).
tff(decl_91,type,
hAPP_n1025906991e_bool: ( $i * $i ) > $i ).
tff(decl_92,type,
hAPP_fun_a_bool_bool: ( $i * $i ) > $i ).
tff(decl_93,type,
hAPP_f2050579477a_bool: ( $i * $i ) > $i ).
tff(decl_94,type,
hAPP_f1631501043l_bool: ( $i * $i ) > $i ).
tff(decl_95,type,
hAPP_f1664156314l_bool: ( $i * $i ) > $i ).
tff(decl_96,type,
hAPP_f759274231e_bool: ( $i * $i ) > $i ).
tff(decl_97,type,
hAPP_f434788991l_bool: ( $i * $i ) > $i ).
tff(decl_98,type,
hAPP_f54304608l_bool: ( $i * $i ) > $i ).
tff(decl_99,type,
hAPP_f621171935l_bool: ( $i * $i ) > $i ).
tff(decl_100,type,
hAPP_f2117159681l_bool: ( $i * $i ) > $i ).
tff(decl_101,type,
hAPP_f1935102916l_bool: ( $i * $i ) > $i ).
tff(decl_102,type,
hAPP_f559147733l_bool: ( $i * $i ) > $i ).
tff(decl_103,type,
hAPP_f1637334154l_bool: ( $i * $i ) > $i ).
tff(decl_104,type,
hAPP_f292226953l_bool: ( $i * $i ) > $i ).
tff(decl_105,type,
hAPP_f389811538l_bool: ( $i * $i ) > $i ).
tff(decl_106,type,
hAPP_f937997336l_bool: ( $i * $i ) > $i ).
tff(decl_107,type,
hAPP_f1363661463l_bool: ( $i * $i ) > $i ).
tff(decl_108,type,
hAPP_f595608956l_bool: ( $i * $i ) > $i ).
tff(decl_109,type,
hAPP_f1295398978l_bool: ( $i * $i ) > $i ).
tff(decl_110,type,
g: $i ).
tff(decl_111,type,
p: $i > $i ).
tff(decl_112,type,
u: $i ).
tff(decl_113,type,
pn: $i ).
tff(decl_114,type,
ord_le1311769555a_bool: $i ).
tff(decl_115,type,
hBOOL: $i > $o ).
tff(decl_116,type,
finite_finite_nat: $i ).
tff(decl_117,type,
finite2012431853t_bool: $i ).
tff(decl_118,type,
ord_le1568362934t_bool: $i ).
tff(decl_119,type,
cOMBC_1693257480l_bool: $i > $i ).
tff(decl_120,type,
hAPP_f103356543l_bool: ( $i * $i ) > $i ).
tff(decl_121,type,
collect_fun_nat_bool: $i > $i ).
tff(decl_122,type,
finite595471783e_bool: $i ).
tff(decl_123,type,
ord_le313189616e_bool: $i ).
tff(decl_124,type,
cOMBC_1284144636l_bool: $i > $i ).
tff(decl_125,type,
finite347923420a_bool: $i ).
tff(decl_126,type,
cOMBC_1732670874l_bool: $i > $i ).
tff(decl_127,type,
finite1701474069l_bool: $i ).
tff(decl_128,type,
finite719726885l_bool: $i ).
tff(decl_129,type,
ord_le65145710l_bool: $i ).
tff(decl_130,type,
cOMBC_1269652216l_bool: $i > $i ).
tff(decl_131,type,
hAPP_f760187903l_bool: ( $i * $i ) > $i ).
tff(decl_132,type,
collec1874991203l_bool: $i > $i ).
tff(decl_133,type,
finite786885583l_bool: $i ).
tff(decl_134,type,
finite1491191519l_bool: $i ).
tff(decl_135,type,
ord_le1375671464l_bool: $i ).
tff(decl_136,type,
cOMBC_336095980l_bool: $i > $i ).
tff(decl_137,type,
hAPP_f1759205631l_bool: ( $i * $i ) > $i ).
tff(decl_138,type,
collec792590109l_bool: $i > $i ).
tff(decl_139,type,
finite1381704300l_bool: $i ).
tff(decl_140,type,
finite1343359508l_bool: $i ).
tff(decl_141,type,
ord_le967226251l_bool: $i ).
tff(decl_142,type,
cOMBC_636888218l_bool: $i > $i ).
tff(decl_143,type,
hAPP_f1050622307l_bool: ( $i * $i ) > $i ).
tff(decl_144,type,
collec1635217238l_bool: $i > $i ).
tff(decl_145,type,
ord_le1375614389l_bool: $i ).
tff(decl_146,type,
cOMBC_331553030l_bool: $i > $i ).
tff(decl_147,type,
hAPP_f1434722111l_bool: ( $i * $i ) > $i ).
tff(decl_148,type,
collec707592106l_bool: $i > $i ).
tff(decl_149,type,
ord_le675606854l_bool: $i ).
tff(decl_150,type,
cOMBC_7971162l_bool: $i > $i ).
tff(decl_151,type,
hAPP_f510955609l_bool: ( $i * $i ) > $i ).
tff(decl_152,type,
collec1613912337l_bool: $i > $i ).
tff(decl_153,type,
ord_le1454342156l_bool: $i ).
tff(decl_154,type,
cOMBC_595898202l_bool: $i > $i ).
tff(decl_155,type,
hAPP_f1772781669l_bool: ( $i * $i ) > $i ).
tff(decl_156,type,
collec1015864663l_bool: $i > $i ).
tff(decl_157,type,
image_2089570637ol_nat: ( $i * $i ) > $i ).
tff(decl_158,type,
image_1079571347ol_nat: ( $i * $i ) > $i ).
tff(decl_159,type,
image_1802975832ol_nat: ( $i * $i ) > $i ).
tff(decl_160,type,
image_fun_a_bool_nat: ( $i * $i ) > $i ).
tff(decl_161,type,
image_1551609309ol_nat: ( $i * $i ) > $i ).
tff(decl_162,type,
image_496248727ol_nat: ( $i * $i ) > $i ).
tff(decl_163,type,
image_a_nat: ( $i * $i ) > $i ).
tff(decl_164,type,
image_1607900221l_bool: ( $i * $i ) > $i ).
tff(decl_165,type,
image_1874789623l_bool: ( $i * $i ) > $i ).
tff(decl_166,type,
image_1208015684l_bool: ( $i * $i ) > $i ).
tff(decl_167,type,
image_26036933t_bool: ( $i * $i ) > $i ).
tff(decl_168,type,
image_1154884483l_bool: ( $i * $i ) > $i ).
tff(decl_169,type,
image_1642285373l_bool: ( $i * $i ) > $i ).
tff(decl_170,type,
image_1420695166l_bool: ( $i * $i ) > $i ).
tff(decl_171,type,
image_2129980159t_bool: ( $i * $i ) > $i ).
tff(decl_172,type,
image_pname_nat: ( $i * $i ) > $i ).
tff(decl_173,type,
insert_nat: ( $i * $i ) > $i ).
tff(decl_174,type,
insert2003652156l_bool: ( $i * $i ) > $i ).
tff(decl_175,type,
insert1117693814l_bool: ( $i * $i ) > $i ).
tff(decl_176,type,
insert1457093509l_bool: ( $i * $i ) > $i ).
tff(decl_177,type,
insert_fun_nat_bool: ( $i * $i ) > $i ).
tff(decl_178,type,
ord_less_eq_nat: $i ).
tff(decl_179,type,
finite_card_nat: $i ).
tff(decl_180,type,
hAPP_f22106695ol_nat: ( $i * $i ) > $i ).
tff(decl_181,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff(decl_182,type,
finite_card_pname: $i ).
tff(decl_183,type,
hAPP_f921600141ol_nat: ( $i * $i ) > $i ).
tff(decl_184,type,
finite_card_a: $i ).
tff(decl_185,type,
hAPP_fun_a_bool_nat: ( $i * $i ) > $i ).
tff(decl_186,type,
finite346522414t_bool: $i ).
tff(decl_187,type,
hAPP_f696928925ol_nat: ( $i * $i ) > $i ).
tff(decl_188,type,
finite1340463720e_bool: $i ).
tff(decl_189,type,
hAPP_f55526627ol_nat: ( $i * $i ) > $i ).
tff(decl_190,type,
finite1306199131a_bool: $i ).
tff(decl_191,type,
hAPP_f2009550088ol_nat: ( $i * $i ) > $i ).
tff(decl_192,type,
finite1352710292l_bool: $i ).
tff(decl_193,type,
hAPP_f1690079119ol_nat: ( $i * $i ) > $i ).
tff(decl_194,type,
finite269641166l_bool: $i ).
tff(decl_195,type,
hAPP_f98387925ol_nat: ( $i * $i ) > $i ).
tff(decl_196,type,
finite1659325229l_bool: $i ).
tff(decl_197,type,
hAPP_f1253658590ol_nat: ( $i * $i ) > $i ).
tff(decl_198,type,
member_fun_nat_bool: $i ).
tff(decl_199,type,
hAPP_f1951378235l_bool: ( $i * $i ) > $i ).
tff(decl_200,type,
suc: $i ).
tff(decl_201,type,
hAPP_nat_nat: ( $i * $i ) > $i ).
tff(decl_202,type,
member799430823e_bool: $i ).
tff(decl_203,type,
hAPP_f556039215l_bool: ( $i * $i ) > $i ).
tff(decl_204,type,
member_fun_a_bool: $i ).
tff(decl_205,type,
hAPP_f285962445l_bool: ( $i * $i ) > $i ).
tff(decl_206,type,
member_nat: $i ).
tff(decl_207,type,
hAPP_n215258509l_bool: ( $i * $i ) > $i ).
tff(decl_208,type,
member_pname: $i ).
tff(decl_209,type,
member_a: $i ).
tff(decl_210,type,
fconj: $i ).
tff(decl_211,type,
cOMBB_444170502t_bool: ( $i * $i ) > $i ).
tff(decl_212,type,
cOMBS_1187019125l_bool: ( $i * $i ) > $i ).
tff(decl_213,type,
cOMBB_2095475776e_bool: ( $i * $i ) > $i ).
tff(decl_214,type,
cOMBB_338059395a_bool: ( $i * $i ) > $i ).
tff(decl_215,type,
cOMBB_1972296269bool_a: ( $i * $i ) > $i ).
tff(decl_216,type,
cOMBB_675860798_pname: ( $i * $i ) > $i ).
tff(decl_217,type,
collect_nat: $i > $i ).
tff(decl_218,type,
cOMBB_1015721476ol_nat: ( $i * $i ) > $i ).
tff(decl_219,type,
cOMBS_nat_bool_bool: ( $i * $i ) > $i ).
tff(decl_220,type,
minus_minus_nat: $i > $i ).
tff(decl_221,type,
cOMBC_nat_nat_bool: $i > $i ).
tff(decl_222,type,
fdisj: $i ).
tff(decl_223,type,
cOMBC_1058051404l_bool: $i > $i ).
tff(decl_224,type,
fequal_a: $i ).
tff(decl_225,type,
cOMBB_1897541054_pname: ( $i * $i ) > $i ).
tff(decl_226,type,
cOMBC_pname_a_bool: $i > $i ).
tff(decl_227,type,
fequal_nat: $i ).
tff(decl_228,type,
cOMBC_226598744l_bool: $i > $i ).
tff(decl_229,type,
hAPP_f800510211t_bool: ( $i * $i ) > $i ).
tff(decl_230,type,
fequal_pname: $i ).
tff(decl_231,type,
cOMBC_1149511130e_bool: $i > $i ).
tff(decl_232,type,
cOMBC_a_a_bool: $i > $i ).
tff(decl_233,type,
cOMBC_1355376034l_bool: $i > $i ).
tff(decl_234,type,
fequal_fun_nat_bool: $i ).
tff(decl_235,type,
cOMBC_1245412066l_bool: $i > $i ).
tff(decl_236,type,
hAPP_f1246832597l_bool: ( $i * $i ) > $i ).
tff(decl_237,type,
fequal533582459e_bool: $i ).
tff(decl_238,type,
cOMBC_1988546018l_bool: $i > $i ).
tff(decl_239,type,
fequal_fun_a_bool: $i ).
tff(decl_240,type,
cOMBC_1880041174l_bool: $i > $i ).
tff(decl_241,type,
fimplies: $i ).
tff(decl_242,type,
fNot: $i ).
tff(decl_243,type,
cOMBB_bool_bool_nat: ( $i * $i ) > $i ).
tff(decl_244,type,
cOMBB_238756964t_bool: ( $i * $i ) > $i ).
tff(decl_245,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(decl_246,type,
hAPP_a_fun_bool_bool: ( $i * $i ) > $i ).
tff(decl_247,type,
hAPP_n1006566506l_bool: ( $i * $i ) > $i ).
tff(decl_248,type,
hAPP_p393069232l_bool: ( $i * $i ) > $i ).
tff(decl_249,type,
hAPP_f198738859l_bool: ( $i * $i ) > $i ).
tff(decl_250,type,
hAPP_f1748468828l_bool: ( $i * $i ) > $i ).
tff(decl_251,type,
hAPP_f1476298914l_bool: ( $i * $i ) > $i ).
tff(decl_252,type,
mgt_call: $i ).
tff(decl_253,type,
na: $i ).
tff(decl_254,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_255,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_256,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_257,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_258,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_259,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_260,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_261,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_262,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_263,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_264,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_265,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_266,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_267,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_268,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_269,type,
esk16_1: $i > $i ).
tff(decl_270,type,
esk17_2: ( $i * $i ) > $i ).
fof(conj_6,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(fact_194_insert__compr,axiom,
! [X8,X10] : insert_a(X8,X10) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X8)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X10))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_insert__compr) ).
fof(fact_274_insert__subset,axiom,
! [X11,X5,X10] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X11,X5)),X10))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X11),X10))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X5),X10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_insert__subset) ).
fof(conj_1,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(fact_261_imageI,axiom,
! [X9,X11,X5] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X11),X5))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X9,X11)),image_pname_a(X9,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_imageI) ).
fof(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(c_0_6,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_6])]) ).
fof(c_0_7,plain,
! [X586,X587] : insert_a(X586,X587) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X586)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X587))),
inference(variable_rename,[status(thm)],[fact_194_insert__compr]) ).
fof(c_0_8,plain,
! [X775,X776,X777] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X775),X777))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X775,X776)),X777)) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X776),X777))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X775,X776)),X777)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X775),X777))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X776),X777))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X775,X776)),X777)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_274_insert__subset])])]) ).
cnf(c_0_9,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
insert_a(X1,X2) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X3)),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2)) ),
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_14,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_15,plain,
! [X744,X745,X746] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X745),X746))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X744,X745)),image_pname_a(X744,X746))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_261_imageI])]) ).
cnf(c_0_16,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X3,X1)),image_pname_a(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW473+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Sun Aug 27 19:38:30 EDT 2023
% 0.10/0.28 % CPUTime :
% 0.12/0.47 start to proof: theBenchmark
% 0.12/0.59 % Version : CSE_E---1.5
% 0.12/0.59 % Problem : theBenchmark.p
% 0.12/0.59 % Proof found
% 0.12/0.59 % SZS status Theorem for theBenchmark.p
% 0.12/0.59 % SZS output start Proof
% See solution above
% 0.12/0.60 % Total time : 0.102000 s
% 0.12/0.60 % SZS output end Proof
% 0.12/0.60 % Total time : 0.111000 s
%------------------------------------------------------------------------------