TSTP Solution File: SWW474+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW474+2 : 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 : n015.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 00:18:05 EDT 2023
% Result : Theorem 1.02s 1.07s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 554
% Syntax : Number of formulae : 610 ( 45 unt; 534 typ; 0 def)
% Number of atoms : 125 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 37 ~; 37 |; 1 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 840 ( 413 >; 427 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 528 ( 528 usr; 121 con; 0-7 aty)
% Number of variables : 69 ( 12 sgn; 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
is_bool: $i > $o ).
tff(decl_23,type,
cOMBK_bool_pname: $i > $i ).
tff(decl_24,type,
is_fun_pname_bool: $i > $o ).
tff(decl_25,type,
cOMBK_1857069011e_bool: $i > $i ).
tff(decl_26,type,
is_fun1661590463l_bool: $i > $o ).
tff(decl_27,type,
wT_bodies: $i ).
tff(decl_28,type,
finite_finite_pname: $i ).
tff(decl_29,type,
finite1282449217_pname: ( $i * $i ) > $i ).
tff(decl_30,type,
finite774711482_state: ( $i * $i ) > $i ).
tff(decl_31,type,
finite1626890877e_bool: ( $i * $i ) > $i ).
tff(decl_32,type,
finite132673334e_bool: ( $i * $i ) > $i ).
tff(decl_33,type,
finite89670078_pname: ( $i * $i ) > $i ).
tff(decl_34,type,
finite506823037_state: ( $i * $i ) > $i ).
tff(decl_35,type,
finite1268145088e_bool: ( $i * $i ) > $i ).
tff(decl_36,type,
finite959343283e_bool: ( $i * $i ) > $i ).
tff(decl_37,type,
pname: $i ).
tff(decl_38,type,
undefined_pname: $i > $i ).
tff(decl_39,type,
is_pname: $i > $o ).
tff(decl_40,type,
bool: $i ).
tff(decl_41,type,
fun: ( $i * $i ) > $i ).
tff(decl_42,type,
undefi17486888e_bool: $i > $i ).
tff(decl_43,type,
undefi64961550l_bool: $i > $i ).
tff(decl_44,type,
hoare_298929751gleton: $i ).
tff(decl_45,type,
dom_pname_com: $i > $i ).
tff(decl_46,type,
some_pname: $i > $i ).
tff(decl_47,type,
is_option_pname: $i > $o ).
tff(decl_48,type,
set_pname: $i > $i ).
tff(decl_49,type,
bot_bot_bool: $i ).
tff(decl_50,type,
bot_bo844097828e_bool: $i ).
tff(decl_51,type,
bot_bo1649642514l_bool: $i ).
tff(decl_52,type,
fFalse: $i ).
tff(decl_53,type,
fTrue: $i ).
tff(decl_54,type,
hAPP_com_bool: ( $i * $i ) > $i ).
tff(decl_55,type,
hAPP_pname_pname: ( $i * $i ) > $i ).
tff(decl_56,type,
hAPP_pname_bool: ( $i * $i ) > $i ).
tff(decl_57,type,
hAPP_p61793385e_bool: ( $i * $i ) > $i ).
tff(decl_58,type,
hAPP_p338031245l_bool: ( $i * $i ) > $i ).
tff(decl_59,type,
hAPP_state_bool: ( $i * $i ) > $i ).
tff(decl_60,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(decl_61,type,
hAPP_H1344248906_pname: ( $i * $i ) > $i ).
tff(decl_62,type,
hAPP_H513860823e_bool: ( $i * $i ) > $i ).
tff(decl_63,type,
hAPP_H1632039476e_bool: ( $i * $i ) > $i ).
tff(decl_64,type,
hAPP_H737849090l_bool: ( $i * $i ) > $i ).
tff(decl_65,type,
hAPP_f990396704l_bool: ( $i * $i ) > $i ).
tff(decl_66,type,
hAPP_f1297739591_pname: ( $i * $i ) > $i ).
tff(decl_67,type,
hAPP_f1664156314l_bool: ( $i * $i ) > $i ).
tff(decl_68,type,
hAPP_f759274231e_bool: ( $i * $i ) > $i ).
tff(decl_69,type,
hAPP_f434788991l_bool: ( $i * $i ) > $i ).
tff(decl_70,type,
hAPP_f42430548e_bool: ( $i * $i ) > $i ).
tff(decl_71,type,
hAPP_f327114704l_bool: ( $i * $i ) > $i ).
tff(decl_72,type,
hAPP_f1008690464_pname: ( $i * $i ) > $i ).
tff(decl_73,type,
hAPP_f1760790145l_bool: ( $i * $i ) > $i ).
tff(decl_74,type,
hAPP_f1745235422e_bool: ( $i * $i ) > $i ).
tff(decl_75,type,
hAPP_f748867288l_bool: ( $i * $i ) > $i ).
tff(decl_76,type,
hAPP_f1935102916l_bool: ( $i * $i ) > $i ).
tff(decl_77,type,
hAPP_f674760225e_bool: ( $i * $i ) > $i ).
tff(decl_78,type,
hAPP_f559147733l_bool: ( $i * $i ) > $i ).
tff(decl_79,type,
hAPP_f239102607l_bool: ( $i * $i ) > $i ).
tff(decl_80,type,
hAPP_f280588268e_bool: ( $i * $i ) > $i ).
tff(decl_81,type,
hAPP_f389811538l_bool: ( $i * $i ) > $i ).
tff(decl_82,type,
hAPP_f1904669497l_bool: ( $i * $i ) > $i ).
tff(decl_83,type,
pn: $i ).
tff(decl_84,type,
hoare_659004819_state: $i > $i ).
tff(decl_85,type,
bot_bo1055319631e_bool: $i ).
tff(decl_86,type,
hBOOL: $i > $o ).
tff(decl_87,type,
ord_le1720872323e_bool: $i ).
tff(decl_88,type,
hAPP_f854625363l_bool: ( $i * $i ) > $i ).
tff(decl_89,type,
insert1835143293_state: $i ).
tff(decl_90,type,
hAPP_H727730819e_bool: ( $i * $i ) > $i ).
tff(decl_91,type,
hAPP_f921536533e_bool: ( $i * $i ) > $i ).
tff(decl_92,type,
hoare_Mirabelle_MGT: $i ).
tff(decl_93,type,
body_1: $i ).
tff(decl_94,type,
hAPP_pname_com: ( $i * $i ) > $i ).
tff(decl_95,type,
hAPP_c1546227244_state: ( $i * $i ) > $i ).
tff(decl_96,type,
the_com: $i ).
tff(decl_97,type,
body: $i ).
tff(decl_98,type,
hAPP_p799580910on_com: ( $i * $i ) > $i ).
tff(decl_99,type,
hAPP_option_com_com: ( $i * $i ) > $i ).
tff(decl_100,type,
finite595471783e_bool: $i ).
tff(decl_101,type,
finite786885583l_bool: $i ).
tff(decl_102,type,
collec1613912337l_bool: $i ).
tff(decl_103,type,
cOMBC_7971162l_bool: $i ).
tff(decl_104,type,
ord_le675606854l_bool: $i ).
tff(decl_105,type,
hAPP_f1879335953l_bool: ( $i * $i ) > $i ).
tff(decl_106,type,
hAPP_f510955609l_bool: ( $i * $i ) > $i ).
tff(decl_107,type,
hAPP_f783502055l_bool: ( $i * $i ) > $i ).
tff(decl_108,type,
finite899049100e_bool: $i ).
tff(decl_109,type,
finite1586217244l_bool: $i ).
tff(decl_110,type,
collec1277803610l_bool: $i ).
tff(decl_111,type,
cOMBC_1084925030l_bool: $i ).
tff(decl_112,type,
ord_le1076702565l_bool: $i ).
tff(decl_113,type,
hAPP_f1508257257l_bool: ( $i * $i ) > $i ).
tff(decl_114,type,
hAPP_f1269496639l_bool: ( $i * $i ) > $i ).
tff(decl_115,type,
hAPP_f1987093l_bool: ( $i * $i ) > $i ).
tff(decl_116,type,
finite784854244_state: $i ).
tff(decl_117,type,
collec111528142e_bool: $i ).
tff(decl_118,type,
cOMBC_1018307482l_bool: $i ).
tff(decl_119,type,
hAPP_f2119687429l_bool: ( $i * $i ) > $i ).
tff(decl_120,type,
hAPP_f1970439265l_bool: ( $i * $i ) > $i ).
tff(decl_121,type,
collec1974731493e_bool: $i ).
tff(decl_122,type,
cOMBC_1284144636l_bool: $i ).
tff(decl_123,type,
ord_le313189616e_bool: $i ).
tff(decl_124,type,
hAPP_f1297925993l_bool: ( $i * $i ) > $i ).
tff(decl_125,type,
image_1259634916e_bool: $i > $i ).
tff(decl_126,type,
image_277167759e_bool: $i > $i ).
tff(decl_127,type,
image_47868345e_bool: $i > $i ).
tff(decl_128,type,
image_505480954e_bool: $i > $i ).
tff(decl_129,type,
hAPP_f1874607724l_bool: ( $i * $i ) > $i ).
tff(decl_130,type,
image_936554724_state: $i > $i ).
tff(decl_131,type,
hAPP_f780887186e_bool: ( $i * $i ) > $i ).
tff(decl_132,type,
image_774712299_state: $i > $i ).
tff(decl_133,type,
hAPP_f772567431e_bool: ( $i * $i ) > $i ).
tff(decl_134,type,
image_1283814551_pname: $i > $i ).
tff(decl_135,type,
image_636285904_pname: $i > $i ).
tff(decl_136,type,
image_275883510_state: $i > $i ).
tff(decl_137,type,
hAPP_f631639356e_bool: ( $i * $i ) > $i ).
tff(decl_138,type,
insert1325755072e_bool: $i ).
tff(decl_139,type,
hAPP_f1320879424l_bool: ( $i * $i ) > $i ).
tff(decl_140,type,
insert1991711667e_bool: $i ).
tff(decl_141,type,
hAPP_f601642911l_bool: ( $i * $i ) > $i ).
tff(decl_142,type,
insert_pname: $i ).
tff(decl_143,type,
hAPP_p905327722e_bool: ( $i * $i ) > $i ).
tff(decl_144,type,
bot_bo1325454745l_bool: $i ).
tff(decl_145,type,
cOMBS_350070575l_bool: $i ).
tff(decl_146,type,
fconj: $i ).
tff(decl_147,type,
cOMBB_2095475776e_bool: $i > $i ).
tff(decl_148,type,
hAPP_f143162813l_bool: ( $i * $i ) > $i ).
tff(decl_149,type,
hAPP_f624840228l_bool: ( $i * $i ) > $i ).
tff(decl_150,type,
cOMBS_2138645332l_bool: $i ).
tff(decl_151,type,
cOMBB_2020112947e_bool: $i > $i ).
tff(decl_152,type,
hAPP_f482022705l_bool: ( $i * $i ) > $i ).
tff(decl_153,type,
hAPP_f1850463605l_bool: ( $i * $i ) > $i ).
tff(decl_154,type,
collec727977250_state: $i ).
tff(decl_155,type,
cOMBS_1248383340l_bool: $i ).
tff(decl_156,type,
cOMBB_1382207997_state: $i > $i ).
tff(decl_157,type,
hAPP_f1558728829l_bool: ( $i * $i ) > $i ).
tff(decl_158,type,
hAPP_f760664097e_bool: ( $i * $i ) > $i ).
tff(decl_159,type,
collect_pname: $i ).
tff(decl_160,type,
cOMBS_568398431l_bool: $i ).
tff(decl_161,type,
cOMBB_675860798_pname: $i > $i ).
tff(decl_162,type,
hAPP_f1402196763l_bool: ( $i * $i ) > $i ).
tff(decl_163,type,
hAPP_f649174806e_bool: ( $i * $i ) > $i ).
tff(decl_164,type,
cOMBK_588224941_state: $i > $i ).
tff(decl_165,type,
image_1925245338_pname: $i > $i ).
tff(decl_166,type,
cOMBK_90103121_pname: $i > $i ).
tff(decl_167,type,
member1758697444_state: $i ).
tff(decl_168,type,
hAPP_H248360617l_bool: ( $i * $i ) > $i ).
tff(decl_169,type,
member_pname: $i ).
tff(decl_170,type,
some_com: $i > $i ).
tff(decl_171,type,
image_pname_pname: $i > $i ).
tff(decl_172,type,
wt: $i ).
tff(decl_173,type,
hAPP_p1842370726_state: ( $i * $i ) > $i ).
tff(decl_174,type,
cOMBK_564432736e_bool: $i > $i ).
tff(decl_175,type,
cOMBK_1079618832_state: $i > $i ).
tff(decl_176,type,
fimplies: $i ).
tff(decl_177,type,
fNot: $i ).
tff(decl_178,type,
cOMBB_647938656_pname: $i > $i ).
tff(decl_179,type,
cOMBC_1149511130e_bool: $i ).
tff(decl_180,type,
fequal_pname: $i ).
tff(decl_181,type,
hAPP_f22061361e_bool: ( $i * $i ) > $i ).
tff(decl_182,type,
cOMBB_307249310e_bool: $i > $i ).
tff(decl_183,type,
fequal533582459e_bool: $i ).
tff(decl_184,type,
cOMBB_1957242197e_bool: $i > $i ).
tff(decl_185,type,
fequal1746921144e_bool: $i ).
tff(decl_186,type,
cOMBB_416661851_state: $i > $i ).
tff(decl_187,type,
cOMBC_1424981238e_bool: $i ).
tff(decl_188,type,
fequal1531560888_state: $i ).
tff(decl_189,type,
hAPP_f262880489e_bool: ( $i * $i ) > $i ).
tff(decl_190,type,
hAPP_H1645666623e_bool: ( $i * $i ) > $i ).
tff(decl_191,type,
fdisj: $i ).
tff(decl_192,type,
cOMBC_1058051404l_bool: $i ).
tff(decl_193,type,
hAPP_f661147897e_bool: ( $i * $i ) > $i ).
tff(decl_194,type,
cOMBC_1988546018l_bool: $i ).
tff(decl_195,type,
member799430823e_bool: $i ).
tff(decl_196,type,
hAPP_f1145991873l_bool: ( $i * $i ) > $i ).
tff(decl_197,type,
cOMBC_1166591542l_bool: $i ).
tff(decl_198,type,
member402455436e_bool: $i ).
tff(decl_199,type,
hAPP_f517001763l_bool: ( $i * $i ) > $i ).
tff(decl_200,type,
cOMBC_764456866l_bool: $i ).
tff(decl_201,type,
hAPP_f1262649863e_bool: ( $i * $i ) > $i ).
tff(decl_202,type,
hAPP_f556039215l_bool: ( $i * $i ) > $i ).
tff(decl_203,type,
hAPP_f105100493l_bool: ( $i * $i ) > $i ).
tff(decl_204,type,
cOMBB_408569982_pname: $i > $i ).
tff(decl_205,type,
hAPP_f567934427l_bool: ( $i * $i ) > $i ).
tff(decl_206,type,
cOMBC_2140141647l_bool: $i ).
tff(decl_207,type,
cOMBB_44445098_pname: $i > $i ).
tff(decl_208,type,
hAPP_f2081555625l_bool: ( $i * $i ) > $i ).
tff(decl_209,type,
hAPP_f1558052123e_bool: ( $i * $i ) > $i ).
tff(decl_210,type,
hAPP_p877885514e_bool: ( $i * $i ) > $i ).
tff(decl_211,type,
image_650584225_state: $i > $i ).
tff(decl_212,type,
cOMBB_291471741_state: $i > $i ).
tff(decl_213,type,
hAPP_f1844318385e_bool: ( $i * $i ) > $i ).
tff(decl_214,type,
hAPP_H563960305_state: ( $i * $i ) > $i ).
tff(decl_215,type,
cOMBC_2107548985e_bool: $i ).
tff(decl_216,type,
cOMBB_1170234304e_bool: $i > $i ).
tff(decl_217,type,
hAPP_f547518321e_bool: ( $i * $i ) > $i ).
tff(decl_218,type,
hAPP_f261382953l_bool: ( $i * $i ) > $i ).
tff(decl_219,type,
hAPP_f1308959284_state: ( $i * $i ) > $i ).
tff(decl_220,type,
cOMBC_1305755390e_bool: $i ).
tff(decl_221,type,
cOMBB_1099197107e_bool: $i > $i ).
tff(decl_222,type,
hAPP_f481659057e_bool: ( $i * $i ) > $i ).
tff(decl_223,type,
hAPP_f492098723l_bool: ( $i * $i ) > $i ).
tff(decl_224,type,
hAPP_f2143211163_state: ( $i * $i ) > $i ).
tff(decl_225,type,
cOMBB_542850580_pname: $i > $i ).
tff(decl_226,type,
hAPP_f1336811455e_bool: ( $i * $i ) > $i ).
tff(decl_227,type,
cOMBC_725526061e_bool: $i ).
tff(decl_228,type,
cOMBB_1456120487_state: $i > $i ).
tff(decl_229,type,
hAPP_f833390165e_bool: ( $i * $i ) > $i ).
tff(decl_230,type,
hAPP_f294904177e_bool: ( $i * $i ) > $i ).
tff(decl_231,type,
cOMBC_1004116266e_bool: $i ).
tff(decl_232,type,
cOMBB_598082538e_bool: $i > $i ).
tff(decl_233,type,
hAPP_f1385420507e_bool: ( $i * $i ) > $i ).
tff(decl_234,type,
hAPP_f2082757169l_bool: ( $i * $i ) > $i ).
tff(decl_235,type,
cOMBC_367297061e_bool: $i ).
tff(decl_236,type,
cOMBB_1671808265e_bool: $i > $i ).
tff(decl_237,type,
hAPP_f1973135743e_bool: ( $i * $i ) > $i ).
tff(decl_238,type,
hAPP_f2070658331l_bool: ( $i * $i ) > $i ).
tff(decl_239,type,
hAPP_p1617973726l_bool: ( $i * $i ) > $i ).
tff(decl_240,type,
cOMBC_498627897l_bool: $i ).
tff(decl_241,type,
cOMBB_1722165949_state: $i > $i ).
tff(decl_242,type,
hAPP_f376825399l_bool: ( $i * $i ) > $i ).
tff(decl_243,type,
hAPP_f1721106985e_bool: ( $i * $i ) > $i ).
tff(decl_244,type,
cOMBB_1239130257_state: $i > $i ).
tff(decl_245,type,
hAPP_f1862834069l_bool: ( $i * $i ) > $i ).
tff(decl_246,type,
cOMBC_290948233e_bool: $i ).
tff(decl_247,type,
cOMBB_799949246_pname: $i > $i ).
tff(decl_248,type,
hAPP_f998786331e_bool: ( $i * $i ) > $i ).
tff(decl_249,type,
hAPP_f167506745e_bool: ( $i * $i ) > $i ).
tff(decl_250,type,
semila447562797e_bool: $i ).
tff(decl_251,type,
hAPP_f1583986009e_bool: ( $i * $i ) > $i ).
tff(decl_252,type,
cOMBB_422605457_pname: $i > $i ).
tff(decl_253,type,
hAPP_f1758910594_state: ( $i * $i ) > $i ).
tff(decl_254,type,
cOMBB_923936821_pname: $i > $i ).
tff(decl_255,type,
hAPP_f96342628me_com: ( $i * $i ) > $i ).
tff(decl_256,type,
the_elem_pname: $i ).
tff(decl_257,type,
the_el23965208_state: $i ).
tff(decl_258,type,
hoare_1575745797_state: $i ).
tff(decl_259,type,
hAPP_f1949912908_state: ( $i * $i ) > $i ).
tff(decl_260,type,
hAPP_c408625258_state: ( $i * $i ) > $i ).
tff(decl_261,type,
hAPP_f588507005_state: ( $i * $i ) > $i ).
tff(decl_262,type,
semila278973382e_bool: $i ).
tff(decl_263,type,
hAPP_f1388330588e_bool: ( $i * $i ) > $i ).
tff(decl_264,type,
semila1782091504l_bool: $i ).
tff(decl_265,type,
hAPP_f230953622l_bool: ( $i * $i ) > $i ).
tff(decl_266,type,
semila2055205435l_bool: $i ).
tff(decl_267,type,
hAPP_f1587382801l_bool: ( $i * $i ) > $i ).
tff(decl_268,type,
cOMBS_1615712031_state: $i ).
tff(decl_269,type,
cOMBS_1401555724_state: $i ).
tff(decl_270,type,
cOMBB_2123334001_pname: $i > $i ).
tff(decl_271,type,
hAPP_f950918952_state: ( $i * $i ) > $i ).
tff(decl_272,type,
hAPP_f1777033564_state: ( $i * $i ) > $i ).
tff(decl_273,type,
hAPP_f2136041130_state: ( $i * $i ) > $i ).
tff(decl_274,type,
hAPP_f358330902_state: ( $i * $i ) > $i ).
tff(decl_275,type,
hAPP_f1296386871_state: ( $i * $i ) > $i ).
tff(decl_276,type,
cOMBC_471052088e_bool: $i ).
tff(decl_277,type,
cOMBC_231445413l_bool: $i ).
tff(decl_278,type,
cOMBB_1757942702_state: $i > $i ).
tff(decl_279,type,
cOMBB_188601460_state: $i > $i ).
tff(decl_280,type,
cOMBB_1759179140_state: $i > $i ).
tff(decl_281,type,
hAPP_f1283379615l_bool: ( $i * $i ) > $i ).
tff(decl_282,type,
hAPP_f873506917e_bool: ( $i * $i ) > $i ).
tff(decl_283,type,
hAPP_f701449317e_bool: ( $i * $i ) > $i ).
tff(decl_284,type,
hAPP_b1095269219e_bool: ( $i * $i ) > $i ).
tff(decl_285,type,
hAPP_p1637813682e_bool: ( $i * $i ) > $i ).
tff(decl_286,type,
ord_less_eq_bool: $i ).
tff(decl_287,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff(decl_288,type,
hAPP_s1806633685e_bool: ( $i * $i ) > $i ).
tff(decl_289,type,
cOMBC_2027030106e_bool: $i ).
tff(decl_290,type,
fequal_state: $i ).
tff(decl_291,type,
hAPP_f817621513e_bool: ( $i * $i ) > $i ).
tff(decl_292,type,
cOMBK_631994958_state: $i > $i ).
tff(decl_293,type,
hoare_1065416081_state: $i > $i ).
tff(decl_294,type,
some_H1133819688_state: $i > $i ).
tff(decl_295,type,
set_Ho1831989999_state: $i > $i ).
tff(decl_296,type,
set_com: $i > $i ).
tff(decl_297,type,
insert_com: $i ).
tff(decl_298,type,
hAPP_c566651504m_bool: ( $i * $i ) > $i ).
tff(decl_299,type,
bot_bot_fun_com_bool: $i ).
tff(decl_300,type,
hAPP_f1682609283m_bool: ( $i * $i ) > $i ).
tff(decl_301,type,
member_com: $i ).
tff(decl_302,type,
hAPP_c667411853l_bool: ( $i * $i ) > $i ).
tff(decl_303,type,
semila1168014441p_bool: $i ).
tff(decl_304,type,
hAPP_p1170154830_pname: ( $i * $i ) > $i ).
tff(decl_305,type,
hAPP_H521649881_state: ( $i * $i ) > $i ).
tff(decl_306,type,
skip: $i ).
tff(decl_307,type,
image_2063528359e_bool: $i > $i ).
tff(decl_308,type,
image_505022149e_bool: $i > $i ).
tff(decl_309,type,
cOMBC_952831051e_bool: $i ).
tff(decl_310,type,
cOMBS_1378840469l_bool: $i ).
tff(decl_311,type,
cOMBB_20296667_state: $i > $i ).
tff(decl_312,type,
hAPP_f1138284024e_bool: ( $i * $i ) > $i ).
tff(decl_313,type,
hAPP_f915354021e_bool: ( $i * $i ) > $i ).
tff(decl_314,type,
cOMBB_160679318_state: $i > $i ).
tff(decl_315,type,
hAPP_f1759915619e_bool: ( $i * $i ) > $i ).
tff(decl_316,type,
hAPP_f1863945078e_bool: ( $i * $i ) > $i ).
tff(decl_317,type,
while: ( $i * $i ) > $i ).
tff(decl_318,type,
semi: ( $i * $i ) > $i ).
tff(decl_319,type,
the_pname: $i ).
tff(decl_320,type,
cOMBB_530759491_pname: $i > $i ).
tff(decl_321,type,
cOMBC_1123258281e_bool: $i ).
tff(decl_322,type,
hAPP_f698292281e_bool: ( $i * $i ) > $i ).
tff(decl_323,type,
hAPP_f180827860e_bool: ( $i * $i ) > $i ).
tff(decl_324,type,
the_Ho10452358_state: $i ).
tff(decl_325,type,
cOMBB_1653402815_state: $i > $i ).
tff(decl_326,type,
cOMBC_488258100e_bool: $i ).
tff(decl_327,type,
hAPP_f964290431e_bool: ( $i * $i ) > $i ).
tff(decl_328,type,
hAPP_f762269719e_bool: ( $i * $i ) > $i ).
tff(decl_329,type,
hAPP_f1456107715e_bool: ( $i * $i ) > $i ).
tff(decl_330,type,
fAll_state: $i ).
tff(decl_331,type,
cOMBB_1911358915_state: $i > $i ).
tff(decl_332,type,
cOMBB_1036740637_state: $i > $i ).
tff(decl_333,type,
evalc: $i > $i ).
tff(decl_334,type,
cOMBB_1476898461_state: $i > $i ).
tff(decl_335,type,
hAPP_f249262236e_bool: ( $i * $i ) > $i ).
tff(decl_336,type,
hAPP_f1935169308e_bool: ( $i * $i ) > $i ).
tff(decl_337,type,
semila1130628874l_bool: $i ).
tff(decl_338,type,
semila1410775201l_bool: $i ).
tff(decl_339,type,
semila1635148844e_bool: $i ).
tff(decl_340,type,
semila2145357127e_bool: $i ).
tff(decl_341,type,
cOMBS_843273363_state: $i ).
tff(decl_342,type,
cOMBS_381334199_state: $i ).
tff(decl_343,type,
if_Hoa533980679_state: $i ).
tff(decl_344,type,
cOMBB_707293872_pname: $i > $i ).
tff(decl_345,type,
hAPP_f1405979047_state: ( $i * $i ) > $i ).
tff(decl_346,type,
hAPP_f939130838_state: ( $i * $i ) > $i ).
tff(decl_347,type,
hAPP_f2101567797_state: ( $i * $i ) > $i ).
tff(decl_348,type,
hAPP_f137248406_state: ( $i * $i ) > $i ).
tff(decl_349,type,
hAPP_f1661207211_state: ( $i * $i ) > $i ).
tff(decl_350,type,
cOMBS_904531235on_com: $i ).
tff(decl_351,type,
cOMBS_1529518335on_com: $i ).
tff(decl_352,type,
if_option_com: $i ).
tff(decl_353,type,
cOMBB_1394247784_pname: $i > $i ).
tff(decl_354,type,
hAPP_f755519727on_com: ( $i * $i ) > $i ).
tff(decl_355,type,
hAPP_f2093196134on_com: ( $i * $i ) > $i ).
tff(decl_356,type,
hAPP_f648377725on_com: ( $i * $i ) > $i ).
tff(decl_357,type,
hAPP_f1673966486on_com: ( $i * $i ) > $i ).
tff(decl_358,type,
hAPP_f2123220539on_com: ( $i * $i ) > $i ).
tff(decl_359,type,
minus_1015773161e_bool: $i ).
tff(decl_360,type,
minus_2076558538e_bool: $i ).
tff(decl_361,type,
minus_1290075917l_bool: $i ).
tff(decl_362,type,
minus_164259166l_bool: $i ).
tff(decl_363,type,
hAPP_b1679505845on_com: ( $i * $i ) > $i ).
tff(decl_364,type,
hAPP_o334540577on_com: ( $i * $i ) > $i ).
tff(decl_365,type,
hAPP_o356497025on_com: ( $i * $i ) > $i ).
tff(decl_366,type,
hAPP_f167292325e_bool: ( $i * $i ) > $i ).
tff(decl_367,type,
hAPP_b2019457360e_bool: ( $i * $i ) > $i ).
tff(decl_368,type,
hAPP_s58564346l_bool: ( $i * $i ) > $i ).
tff(decl_369,type,
hAPP_p393069232l_bool: ( $i * $i ) > $i ).
tff(decl_370,type,
hAPP_f644196280e_bool: ( $i * $i ) > $i ).
tff(decl_371,type,
hAPP_b798484845_state: ( $i * $i ) > $i ).
tff(decl_372,type,
hAPP_f1259673775l_bool: ( $i * $i ) > $i ).
tff(decl_373,type,
hAPP_f1476298914l_bool: ( $i * $i ) > $i ).
tff(decl_374,type,
hAPP_f1012183542e_bool: ( $i * $i ) > $i ).
tff(decl_375,type,
hAPP_s1874344717e_bool: ( $i * $i ) > $i ).
tff(decl_376,type,
hAPP_p1086945780on_com: ( $i * $i ) > $i ).
tff(decl_377,type,
hAPP_H226398757l_bool: ( $i * $i ) > $i ).
tff(decl_378,type,
hAPP_s1226857760e_bool: ( $i * $i ) > $i ).
tff(decl_379,type,
hAPP_f1508101115l_bool: ( $i * $i ) > $i ).
tff(decl_380,type,
hAPP_s2001034685l_bool: ( $i * $i ) > $i ).
tff(decl_381,type,
hAPP_s336103912e_bool: ( $i * $i ) > $i ).
tff(decl_382,type,
hAPP_p1164893188on_com: ( $i * $i ) > $i ).
tff(decl_383,type,
hAPP_p80247908_state: ( $i * $i ) > $i ).
tff(decl_384,type,
hAPP_p1712839024_state: ( $i * $i ) > $i ).
tff(decl_385,type,
hAPP_p2032835427_state: ( $i * $i ) > $i ).
tff(decl_386,type,
hAPP_p964374716_state: ( $i * $i ) > $i ).
tff(decl_387,type,
fa: $i ).
tff(decl_388,type,
y: $i ).
tff(decl_389,type,
esk1_1: $i > $i ).
tff(decl_390,type,
esk2_1: $i > $i ).
tff(decl_391,type,
esk3_1: $i > $i ).
tff(decl_392,type,
esk4_1: $i > $i ).
tff(decl_393,type,
esk5_1: $i > $i ).
tff(decl_394,type,
esk6_1: $i > $i ).
tff(decl_395,type,
esk7_1: $i > $i ).
tff(decl_396,type,
esk8_1: $i > $i ).
tff(decl_397,type,
esk9_1: $i > $i ).
tff(decl_398,type,
esk10_1: $i > $i ).
tff(decl_399,type,
esk11_1: $i > $i ).
tff(decl_400,type,
esk12_1: $i > $i ).
tff(decl_401,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_402,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_403,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_404,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_405,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_406,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_407,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_408,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_409,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_410,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_411,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_412,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_413,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_414,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_415,type,
esk27_1: $i > $i ).
tff(decl_416,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_417,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_418,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_419,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_420,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_421,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_422,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_423,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_424,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_425,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_426,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_427,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_428,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_429,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_430,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_431,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_432,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_433,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_434,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_435,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_436,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_437,type,
esk49_1: $i > $i ).
tff(decl_438,type,
esk50_1: $i > $i ).
tff(decl_439,type,
esk51_1: $i > $i ).
tff(decl_440,type,
esk52_1: $i > $i ).
tff(decl_441,type,
esk53_1: $i > $i ).
tff(decl_442,type,
esk54_1: $i > $i ).
tff(decl_443,type,
esk55_1: $i > $i ).
tff(decl_444,type,
esk56_1: $i > $i ).
tff(decl_445,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_446,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_447,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_448,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_449,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_450,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_451,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_452,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_453,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_454,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_455,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_456,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_457,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_458,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_459,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_460,type,
esk72_1: $i > $i ).
tff(decl_461,type,
esk73_1: $i > $i ).
tff(decl_462,type,
esk74_1: $i > $i ).
tff(decl_463,type,
esk75_1: $i > $i ).
tff(decl_464,type,
esk76_3: ( $i * $i * $i ) > $i ).
tff(decl_465,type,
esk77_3: ( $i * $i * $i ) > $i ).
tff(decl_466,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_467,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_468,type,
esk80_3: ( $i * $i * $i ) > $i ).
tff(decl_469,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_470,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_471,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_472,type,
esk84_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_473,type,
esk85_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_474,type,
esk86_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_475,type,
esk87_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_476,type,
esk88_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_477,type,
esk89_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_478,type,
esk90_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_479,type,
esk91_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_480,type,
esk92_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_481,type,
esk93_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_482,type,
esk94_2: ( $i * $i ) > $i ).
tff(decl_483,type,
esk95_2: ( $i * $i ) > $i ).
tff(decl_484,type,
esk96_3: ( $i * $i * $i ) > $i ).
tff(decl_485,type,
esk97_1: $i > $i ).
tff(decl_486,type,
esk98_0: $i ).
tff(decl_487,type,
esk99_0: $i ).
tff(decl_488,type,
esk100_2: ( $i * $i ) > $i ).
tff(decl_489,type,
esk101_2: ( $i * $i ) > $i ).
tff(decl_490,type,
esk102_2: ( $i * $i ) > $i ).
tff(decl_491,type,
esk103_2: ( $i * $i ) > $i ).
tff(decl_492,type,
esk104_2: ( $i * $i ) > $i ).
tff(decl_493,type,
esk105_2: ( $i * $i ) > $i ).
tff(decl_494,type,
esk106_2: ( $i * $i ) > $i ).
tff(decl_495,type,
esk107_2: ( $i * $i ) > $i ).
tff(decl_496,type,
esk108_2: ( $i * $i ) > $i ).
tff(decl_497,type,
esk109_2: ( $i * $i ) > $i ).
tff(decl_498,type,
esk110_2: ( $i * $i ) > $i ).
tff(decl_499,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_500,type,
esk112_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_501,type,
esk113_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_502,type,
esk114_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_503,type,
esk115_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_504,type,
esk116_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_505,type,
esk117_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_506,type,
esk118_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_507,type,
esk119_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_508,type,
esk120_3: ( $i * $i * $i ) > $i ).
tff(decl_509,type,
esk121_3: ( $i * $i * $i ) > $i ).
tff(decl_510,type,
esk122_3: ( $i * $i * $i ) > $i ).
tff(decl_511,type,
esk123_3: ( $i * $i * $i ) > $i ).
tff(decl_512,type,
esk124_3: ( $i * $i * $i ) > $i ).
tff(decl_513,type,
esk125_3: ( $i * $i * $i ) > $i ).
tff(decl_514,type,
esk126_3: ( $i * $i * $i ) > $i ).
tff(decl_515,type,
esk127_3: ( $i * $i * $i ) > $i ).
tff(decl_516,type,
esk128_1: $i > $i ).
tff(decl_517,type,
esk129_1: $i > $i ).
tff(decl_518,type,
esk130_1: $i > $i ).
tff(decl_519,type,
esk131_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_520,type,
esk132_2: ( $i * $i ) > $i ).
tff(decl_521,type,
esk133_2: ( $i * $i ) > $i ).
tff(decl_522,type,
esk134_2: ( $i * $i ) > $i ).
tff(decl_523,type,
esk135_2: ( $i * $i ) > $i ).
tff(decl_524,type,
esk136_2: ( $i * $i ) > $i ).
tff(decl_525,type,
esk137_2: ( $i * $i ) > $i ).
tff(decl_526,type,
esk138_2: ( $i * $i ) > $i ).
tff(decl_527,type,
esk139_2: ( $i * $i ) > $i ).
tff(decl_528,type,
esk140_2: ( $i * $i ) > $i ).
tff(decl_529,type,
esk141_2: ( $i * $i ) > $i ).
tff(decl_530,type,
esk142_1: $i > $i ).
tff(decl_531,type,
esk143_1: $i > $i ).
tff(decl_532,type,
esk144_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_533,type,
esk145_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_534,type,
esk146_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_535,type,
esk147_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_536,type,
esk148_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_537,type,
esk149_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_538,type,
esk150_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_539,type,
esk151_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_540,type,
esk152_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_541,type,
esk153_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_542,type,
esk154_2: ( $i * $i ) > $i ).
tff(decl_543,type,
esk155_2: ( $i * $i ) > $i ).
tff(decl_544,type,
esk156_2: ( $i * $i ) > $i ).
tff(decl_545,type,
esk157_2: ( $i * $i ) > $i ).
tff(decl_546,type,
esk158_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_547,type,
esk159_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_548,type,
esk160_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_549,type,
esk161_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_550,type,
esk162_0: $i ).
tff(decl_551,type,
esk163_0: $i ).
tff(decl_552,type,
esk164_0: $i ).
tff(decl_553,type,
esk165_0: $i ).
tff(decl_554,type,
esk166_0: $i ).
tff(decl_555,type,
esk167_0: $i ).
fof(fact_77_empty__Collect__eq,axiom,
! [X14] :
( bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,X14)
<=> ! [X21] : ~ hBOOL(hAPP_H513860823e_bool(X14,X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_empty__Collect__eq) ).
fof(fact_177_Collect__def,axiom,
! [X14] : hAPP_f921536533e_bool(collec727977250_state,X14) = X14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_Collect__def) ).
fof(help_fFalse_1_1_T,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_H513860823e_bool(cOMBK_1079618832_state(X33),X97) = X33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__) ).
fof(gsy_c_Com_OWT__bodies,hypothesis,
is_bool(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Com_OWT__bodies) ).
fof(fact_85_empty__def,axiom,
bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_empty__def) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X6),X4))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X6))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),bot_bo1055319631e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004,hypothesis,
! [X1,X2] : is_bool(hAPP_f1760790145l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004) ).
fof(gsy_c_fTrue,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fTrue) ).
fof(gsy_c_fFalse,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
fof(conj_6,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(fact_53_MGF,axiom,
! [X15] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_MGF) ).
fof(conj_0,hypothesis,
hBOOL(hoare_298929751gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool,axiom,
! [X1,X2] : is_bool(hAPP_com_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool) ).
fof(fact_215_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = some_com(X30)
=> hBOOL(hAPP_com_bool(wt,X30)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_WT__bodiesD) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(c_0_20,plain,
! [X14] :
( bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,X14)
<=> ! [X21] : ~ hBOOL(hAPP_H513860823e_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[fact_77_empty__Collect__eq]) ).
fof(c_0_21,plain,
! [X357,X358,X359] :
( ( bot_bo1055319631e_bool != hAPP_f921536533e_bool(collec727977250_state,X357)
| ~ hBOOL(hAPP_H513860823e_bool(X357,X358)) )
& ( hBOOL(hAPP_H513860823e_bool(X359,esk8_1(X359)))
| bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,X359) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).
fof(c_0_22,plain,
! [X587] : hAPP_f921536533e_bool(collec727977250_state,X587) = X587,
inference(variable_rename,[status(thm)],[fact_177_Collect__def]) ).
fof(c_0_23,plain,
! [X2137] :
( ~ is_bool(X2137)
| X2137 = fTrue
| X2137 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])]) ).
cnf(c_0_24,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk8_1(X1)))
| bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
hAPP_f921536533e_bool(collec727977250_state,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_26,plain,
! [X2232,X2233] :
( ~ is_bool(X2232)
| hAPP_H513860823e_bool(cOMBK_1079618832_state(X2232),X2233) = X2232 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__])]) ).
cnf(c_0_27,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,hypothesis,
is_bool(wT_bodies),
inference(split_conjunct,[status(thm)],[gsy_c_Com_OWT__bodies]) ).
cnf(c_0_29,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X1,esk8_1(X1))) ),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( hAPP_H513860823e_bool(cOMBK_1079618832_state(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)),
inference(split_conjunct,[status(thm)],[fact_85_empty__def]) ).
cnf(c_0_32,hypothesis,
( wT_bodies = fTrue
| wT_bodies = fFalse ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_33,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
fof(c_0_34,plain,
! [X189,X190,X191] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X190),X191))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X189),X190))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X189),X191)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
fof(c_0_35,plain,
! [X180] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X180),bot_bo1055319631e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
fof(c_0_36,hypothesis,
! [X160,X161] : is_bool(hAPP_f1760790145l_bool(X160,X161)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004]) ).
cnf(c_0_37,plain,
( cOMBK_1079618832_state(X1) = bot_bo1055319631e_bool
| hBOOL(X1)
| ~ is_bool(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
is_bool(fTrue),
inference(split_conjunct,[status(thm)],[gsy_c_fTrue]) ).
cnf(c_0_39,plain,
cOMBK_1079618832_state(fFalse) = bot_bo1055319631e_bool,
inference(rw,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_40,plain,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[gsy_c_fFalse]) ).
cnf(c_0_41,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_42,hypothesis,
( wT_bodies = fFalse
| fTrue != fFalse ),
inference(ef,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_44,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
cnf(c_0_45,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
inference(split_conjunct,[status(thm)],[conj_6]) ).
cnf(c_0_47,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,hypothesis,
is_bool(hAPP_f1760790145l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
( cOMBK_1079618832_state(fTrue) = bot_bo1055319631e_bool
| hBOOL(fTrue) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_50,plain,
hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_39]),c_0_40])]) ).
cnf(c_0_51,hypothesis,
fTrue != fFalse,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_52,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,hypothesis,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(fa),X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_54,plain,
! [X290] :
( ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X290))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X290)),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_MGF])]) ).
cnf(c_0_55,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X2)) ),
inference(spm,[status(thm)],[c_0_45,c_0_47]) ).
cnf(c_0_56,hypothesis,
( hAPP_f1760790145l_bool(X1,X2) = fTrue
| hAPP_f1760790145l_bool(X1,X2) = fFalse ),
inference(spm,[status(thm)],[c_0_27,c_0_48]) ).
cnf(c_0_57,plain,
hBOOL(fTrue),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_49]),c_0_50]),c_0_38])]),c_0_51]) ).
cnf(c_0_58,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(fa),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,hypothesis,
hBOOL(hoare_298929751gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_61,hypothesis,
( hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X1) = fFalse
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_62,negated_conjecture,
hAPP_f1760790145l_bool(hoare_659004819_state(fa),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_57])]) ).
fof(c_0_63,plain,
! [X122,X123] : is_bool(hAPP_com_bool(X122,X123)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool]) ).
fof(c_0_64,plain,
! [X676,X677] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X676) != some_com(X677)
| hBOOL(hAPP_com_bool(wt,X677)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_WT__bodiesD])]) ).
cnf(c_0_65,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_41]),c_0_60])]) ).
cnf(c_0_66,negated_conjecture,
hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_43]) ).
cnf(c_0_67,plain,
is_bool(hAPP_com_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
( hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X1) != some_com(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,negated_conjecture,
~ hBOOL(hAPP_com_bool(wt,y)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_43]) ).
cnf(c_0_70,plain,
( hAPP_com_bool(X1,X2) = fTrue
| hAPP_com_bool(X1,X2) = fFalse ),
inference(spm,[status(thm)],[c_0_27,c_0_67]) ).
cnf(c_0_71,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_41])]) ).
cnf(c_0_72,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
cnf(c_0_73,negated_conjecture,
hAPP_com_bool(wt,y) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_57])]) ).
cnf(c_0_74,hypothesis,
hAPP_p799580910on_com(body,X1) != hAPP_p799580910on_com(body,pn),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_43]) ).
cnf(c_0_75,hypothesis,
$false,
inference(er,[status(thm)],[c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW474+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 21:01:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 1.02/1.07 % Version : CSE_E---1.5
% 1.02/1.07 % Problem : theBenchmark.p
% 1.02/1.07 % Proof found
% 1.02/1.07 % SZS status Theorem for theBenchmark.p
% 1.02/1.07 % SZS output start Proof
% See solution above
% 1.02/1.10 % Total time : 0.440000 s
% 1.02/1.10 % SZS output end Proof
% 1.02/1.10 % Total time : 0.476000 s
%------------------------------------------------------------------------------