TSTP Solution File: ITP110^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ITP110^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 09:35:57 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 32 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 125 ( 19 ~; 16 |; 0 &; 82 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 17 ( 16 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 176 ( 173 usr; 20 con; 0-3 aty)
% Number of variables : 5 ( 0 ^ 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Extended_ereal_o: $tType ).
thf(type_def_6,type,
extended_ereal: $tType ).
thf(type_def_8,type,
set_a_o: $tType ).
thf(type_def_9,type,
a: $tType ).
thf(type_def_10,type,
set_Extended_ereal: $tType ).
thf(type_def_11,type,
set_real: $tType ).
thf(type_def_12,type,
real: $tType ).
thf(type_def_13,type,
set_se767749006_ereal: $tType ).
thf(type_def_14,type,
set_se1849684334_ereal: $tType ).
thf(type_def_15,type,
set_set_set_a: $tType ).
thf(type_def_16,type,
set_set_a: $tType ).
thf(type_def_17,type,
set_a: $tType ).
thf(type_def_18,type,
set_Pr1158285382l_real: $tType ).
thf(type_def_19,type,
set_Pr1928503567a_real: $tType ).
thf(type_def_20,type,
set_Pr597221087l_real: $tType ).
thf(type_def_21,type,
product_prod_a_real: $tType ).
thf(func_def_0,type,
set_Pr1158285382l_real: $tType ).
thf(func_def_1,type,
set_Pr597221087l_real: $tType ).
thf(func_def_2,type,
set_se1849684334_ereal: $tType ).
thf(func_def_3,type,
set_Pr1928503567a_real: $tType ).
thf(func_def_4,type,
set_se767749006_ereal: $tType ).
thf(func_def_5,type,
set_Extended_ereal_o: $tType ).
thf(func_def_6,type,
set_set_set_a: $tType ).
thf(func_def_7,type,
product_prod_a_real: $tType ).
thf(func_def_8,type,
set_Extended_ereal: $tType ).
thf(func_def_9,type,
set_set_a: $tType ).
thf(func_def_10,type,
set_a_o: $tType ).
thf(func_def_11,type,
set_real: $tType ).
thf(func_def_12,type,
extended_ereal: $tType ).
thf(func_def_13,type,
set_a: $tType ).
thf(func_def_14,type,
real: $tType ).
thf(func_def_15,type,
a: $tType ).
thf(func_def_16,type,
comple179807490real_o: set_Extended_ereal_o > extended_ereal > $o ).
thf(func_def_17,type,
complete_Sup_Sup_a_o: set_a_o > a > $o ).
thf(func_def_18,type,
comple1161760187_ereal: set_Extended_ereal > extended_ereal ).
thf(func_def_19,type,
comple2129349247p_real: set_real > real ).
thf(func_def_20,type,
comple767846299_ereal: set_se767749006_ereal > set_Extended_ereal ).
thf(func_def_21,type,
comple1517911419_ereal: set_se1849684334_ereal > set_se767749006_ereal ).
thf(func_def_22,type,
comple968993579_set_a: set_set_set_a > set_set_a ).
thf(func_def_23,type,
comple1766734283_set_a: set_set_a > set_a ).
thf(func_def_24,type,
convex291263275l_real: set_Pr1158285382l_real > $o ).
thf(func_def_25,type,
convex78185044a_real: set_Pr1928503567a_real > $o ).
thf(func_def_26,type,
convex_a: set_a > $o ).
thf(func_def_27,type,
extend1289208545_ereal: extended_ereal ).
thf(func_def_28,type,
extended_MInfty: extended_ereal ).
thf(func_def_29,type,
extended_PInfty: extended_ereal ).
thf(func_def_30,type,
extended_ereal2: real > extended_ereal ).
thf(func_def_31,type,
extend1716541707_ereal: extended_ereal > real ).
thf(func_def_32,type,
times_1966848393_ereal: extended_ereal > extended_ereal > extended_ereal ).
thf(func_def_33,type,
times_times_real: real > real > real ).
thf(func_def_34,type,
uminus1208298309_ereal: extended_ereal > extended_ereal ).
thf(func_def_35,type,
uminus_uminus_real: real > real ).
thf(func_def_36,type,
uminus360668453_ereal: set_Extended_ereal > set_Extended_ereal ).
thf(func_def_37,type,
uminus_uminus_set_a: set_a > set_a ).
thf(func_def_38,type,
zero_z163181189_ereal: extended_ereal ).
thf(func_def_39,type,
zero_zero_real: real ).
thf(func_def_40,type,
lower_331963542_ereal: set_Extended_ereal > ( extended_ereal > extended_ereal ) > set_Pr597221087l_real ).
thf(func_def_41,type,
lower_870348689a_real: set_Pr1928503567a_real > ( product_prod_a_real > extended_ereal ) > set_Pr1158285382l_real ).
thf(func_def_42,type,
lower_930854854raph_a: set_a > ( a > extended_ereal ) > set_Pr1928503567a_real ).
thf(func_def_43,type,
lower_128423320e_on_a: set_a > ( a > extended_ereal ) > $o ).
thf(func_def_44,type,
lower_1023700310e_on_a: set_a > ( a > extended_ereal ) > $o ).
thf(func_def_45,type,
lower_591730471a_real: set_Pr1928503567a_real > ( product_prod_a_real > extended_ereal ) > $o ).
thf(func_def_46,type,
lower_311861424x_on_a: set_a > ( a > extended_ereal ) > $o ).
thf(func_def_47,type,
lower_1359521925a_real: ( product_prod_a_real > extended_ereal ) > set_Pr1928503567a_real ).
thf(func_def_48,type,
lower_1391529426main_a: ( a > extended_ereal ) > set_a ).
thf(func_def_49,type,
lower_1486931688e_on_a: set_a > ( a > extended_ereal ) > $o ).
thf(func_def_50,type,
ord_le824540014_ereal: extended_ereal > extended_ereal > $o ).
thf(func_def_51,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_52,type,
ord_le88246606_ereal: set_Extended_ereal > set_Extended_ereal > $o ).
thf(func_def_53,type,
ord_le1586073967a_real: set_Pr1928503567a_real > set_Pr1928503567a_real > $o ).
thf(func_def_54,type,
ord_less_eq_set_real: set_real > set_real > $o ).
thf(func_def_55,type,
ord_le1153389358_ereal: set_se767749006_ereal > set_se767749006_ereal > $o ).
thf(func_def_56,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(func_def_57,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_58,type,
order_1158471719_ereal: ( extended_ereal > $o ) > extended_ereal ).
thf(func_def_59,type,
order_Greatest_real: ( real > $o ) > real ).
thf(func_def_60,type,
top_to398855007real_o: extended_ereal > $o ).
thf(func_def_61,type,
top_top_a_o: a > $o ).
thf(func_def_63,type,
top_to802031902_ereal: extended_ereal ).
thf(func_def_64,type,
top_to772344469real_o: set_Extended_ereal_o ).
thf(func_def_65,type,
top_top_set_a_o: set_a_o ).
thf(func_def_66,type,
top_to1767659262_ereal: set_Extended_ereal ).
thf(func_def_67,type,
top_to2138011583a_real: set_Pr1928503567a_real ).
thf(func_def_68,type,
top_top_set_real: set_real ).
thf(func_def_69,type,
top_to692740318_ereal: set_se767749006_ereal ).
thf(func_def_70,type,
top_to1791633086_ereal: set_se1849684334_ereal ).
thf(func_def_71,type,
top_to1486684270_set_a: set_set_set_a ).
thf(func_def_72,type,
top_top_set_set_a: set_set_a ).
thf(func_def_73,type,
top_top_set_a: set_a ).
thf(func_def_74,type,
divide595620860_ereal: extended_ereal > extended_ereal > extended_ereal ).
thf(func_def_75,type,
divide_divide_real: real > real > real ).
thf(func_def_76,type,
collec247695033_ereal: ( extended_ereal > $o ) > set_Extended_ereal ).
thf(func_def_77,type,
collec1714955950a_real: ( product_prod_a_real > $o ) > set_Pr1928503567a_real ).
thf(func_def_78,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_79,type,
member1900190071_ereal: extended_ereal > set_Extended_ereal > $o ).
thf(func_def_80,type,
member1103263856a_real: product_prod_a_real > set_Pr1928503567a_real > $o ).
thf(func_def_81,type,
member_real: real > set_real > $o ).
thf(func_def_82,type,
member450560855_ereal: set_Extended_ereal > set_se767749006_ereal > $o ).
thf(func_def_83,type,
member_set_a: set_a > set_set_a > $o ).
thf(func_def_84,type,
member_a: a > set_a > $o ).
thf(func_def_85,type,
f: a > extended_ereal ).
thf(func_def_99,type,
sP0: extended_ereal > extended_ereal > $o ).
thf(func_def_100,type,
sP1: extended_ereal > extended_ereal > $o ).
thf(func_def_101,type,
sP2: extended_ereal > extended_ereal > $o ).
thf(func_def_102,type,
sP3: extended_ereal > extended_ereal > $o ).
thf(func_def_103,type,
sP4: extended_ereal > extended_ereal > $o ).
thf(func_def_104,type,
sP5: extended_ereal > extended_ereal > $o ).
thf(func_def_105,type,
sP6: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_106,type,
sP7: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_107,type,
sP8: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_108,type,
sP9: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_109,type,
sP10: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_110,type,
sP11: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_111,type,
sP12: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_112,type,
sP13: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_113,type,
sP14: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_114,type,
sP15: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_115,type,
sP16: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_116,type,
sP17: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_117,type,
sP18: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_118,type,
sP19: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_119,type,
sP20: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_120,type,
sP21: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_121,type,
sP22: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_122,type,
sP23: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_123,type,
sP24: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_124,type,
sP25: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_125,type,
sP26: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_126,type,
sP27: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_127,type,
sP28: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_128,type,
sP29: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_129,type,
sP30: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_130,type,
sP31: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_131,type,
sK32: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_132,type,
sK33: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_133,type,
sK34: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_134,type,
sK35: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_135,type,
sK36: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_136,type,
sK37: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_137,type,
sK38: ( extended_ereal > $o ) > real ).
thf(func_def_138,type,
sK39: ( extended_ereal > set_a ) > extended_ereal ).
thf(func_def_139,type,
sK40: ( extended_ereal > set_a ) > extended_ereal ).
thf(func_def_140,type,
sK41: ( real > set_a ) > real ).
thf(func_def_141,type,
sK42: ( real > set_a ) > real ).
thf(func_def_142,type,
sK43: ( set_a > extended_ereal ) > set_a ).
thf(func_def_143,type,
sK44: ( set_a > extended_ereal ) > set_a ).
thf(func_def_144,type,
sK45: ( extended_ereal > $o ) > real ).
thf(func_def_145,type,
sK46: extended_ereal > real ).
thf(func_def_146,type,
sK47: extended_ereal > real ).
thf(func_def_147,type,
sK48: extended_ereal > real ).
thf(func_def_148,type,
sK49: extended_ereal > real ).
thf(func_def_149,type,
sK50: extended_ereal > real ).
thf(func_def_150,type,
sK51: extended_ereal > real ).
thf(func_def_151,type,
sK52: ( a > extended_ereal ) > set_a ).
thf(func_def_152,type,
sK53: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_153,type,
sK54: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_154,type,
sK55: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_155,type,
sK56: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_156,type,
sK57: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_157,type,
sK58: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_158,type,
sK59: extended_ereal > real ).
thf(func_def_159,type,
sK60: extended_ereal > real ).
thf(func_def_160,type,
sK61: extended_ereal > real ).
thf(func_def_161,type,
sK62: extended_ereal > real ).
thf(func_def_162,type,
sK63: extended_ereal > real ).
thf(func_def_163,type,
sK64: extended_ereal > real ).
thf(func_def_164,type,
sK65: extended_ereal > real ).
thf(func_def_165,type,
sK66: extended_ereal > real ).
thf(func_def_166,type,
sK67: extended_ereal > real ).
thf(func_def_167,type,
sK68: extended_ereal > real ).
thf(func_def_168,type,
sK69: extended_ereal > real ).
thf(func_def_169,type,
sK70: extended_ereal > real ).
thf(func_def_170,type,
sK71: extended_ereal > real ).
thf(func_def_171,type,
sK72: extended_ereal > real ).
thf(func_def_172,type,
sK73: extended_ereal > real ).
thf(func_def_173,type,
sK74: extended_ereal > real ).
thf(func_def_174,type,
sK75: extended_ereal > real ).
thf(func_def_175,type,
sK76: extended_ereal > real ).
thf(func_def_176,type,
sK77: extended_ereal > real ).
thf(func_def_177,type,
sK78: extended_ereal > real ).
thf(func_def_178,type,
sK79: extended_ereal > real ).
thf(func_def_179,type,
sK80: extended_ereal > real ).
thf(func_def_180,type,
sK81: extended_ereal > real ).
thf(func_def_181,type,
sK82: extended_ereal > real ).
thf(func_def_182,type,
sK83: extended_ereal > real ).
thf(func_def_183,type,
sK84: extended_ereal > real ).
thf(func_def_184,type,
sK85: extended_ereal > real ).
thf(func_def_185,type,
sK86: extended_ereal > real ).
thf(func_def_186,type,
sK87: ( a > extended_ereal ) > set_a ).
thf(func_def_187,type,
sK88: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_188,type,
sK89: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_189,type,
sK90: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_190,type,
sK91: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_191,type,
sK92: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_192,type,
sK93: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_193,type,
sK94: extended_ereal > real ).
thf(func_def_194,type,
sK95: extended_ereal > real ).
thf(func_def_195,type,
sK96: ( set_a > real ) > set_a ).
thf(func_def_196,type,
sK97: ( set_a > real ) > set_a ).
thf(func_def_197,type,
sK98: extended_ereal > real ).
thf(func_def_198,type,
sK99: extended_ereal > real ).
thf(func_def_199,type,
sK100: extended_ereal > real ).
thf(func_def_201,type,
ph102:
!>[X0: $tType] : X0 ).
thf(f1396,plain,
$false,
inference(avatar_sat_refutation,[],[f1346,f1372,f1395]) ).
thf(f1395,plain,
~ spl101_1,
inference(avatar_contradiction_clause,[],[f1394]) ).
thf(f1394,plain,
( $false
| ~ spl101_1 ),
inference(trivial_inequality_removal,[],[f1390]) ).
thf(f1390,plain,
( ( $true = $false )
| ~ spl101_1 ),
inference(superposition,[],[f1348,f1341]) ).
thf(f1341,plain,
( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
= $false )
| ~ spl101_1 ),
inference(avatar_component_clause,[],[f1339]) ).
thf(f1339,plain,
( spl101_1
<=> ( ( convex_a @ ( lower_1391529426main_a @ f ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl101_1])]) ).
thf(f1348,plain,
( ( convex_a @ ( lower_1391529426main_a @ f ) )
= $true ),
inference(trivial_inequality_removal,[],[f1347]) ).
thf(f1347,plain,
( ( $true != $true )
| ( ( convex_a @ ( lower_1391529426main_a @ f ) )
= $true ) ),
inference(superposition,[],[f1187,f1337]) ).
thf(f1337,plain,
( ( lower_311861424x_on_a @ top_top_set_a @ f )
= $true ),
inference(subsumption_resolution,[],[f1335,f1169]) ).
thf(f1169,plain,
( ( ( lower_311861424x_on_a @ top_top_set_a @ f )
= $true )
| ( ( convex_a @ ( lower_1391529426main_a @ f ) )
!= $true ) ),
inference(cnf_transformation,[],[f945]) ).
thf(f945,plain,
( ( ( lower_311861424x_on_a @ top_top_set_a @ f )
= $true )
| ( ( convex_a @ ( lower_1391529426main_a @ f ) )
!= $true ) ),
inference(ennf_transformation,[],[f393]) ).
thf(f393,plain,
( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
= $true )
=> ( ( lower_311861424x_on_a @ top_top_set_a @ f )
= $true ) ),
inference(fool_elimination,[],[f392]) ).
thf(f392,plain,
( ( convex_a @ ( lower_1391529426main_a @ f ) )
=> ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( convex_a @ ( lower_1391529426main_a @ f ) )
=> ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062convex_A_Idomain_Af_J_A_092_060Longrightarrow_062_ALower__Semicontinuous__Mirabelle__mxyexokbxt_Oconvex__on_AUNIV_Af_092_060close_062) ).
thf(f1335,plain,
( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
= $true )
| ( ( lower_311861424x_on_a @ top_top_set_a @ f )
= $true ) ),
inference(binary_proxy_clausification,[],[f1298]) ).
thf(f1298,plain,
( ( convex_a @ ( lower_1391529426main_a @ f ) )
!= ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
inference(cnf_transformation,[],[f888]) ).
thf(f888,plain,
( ( convex_a @ ( lower_1391529426main_a @ f ) )
!= ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
inference(flattening,[],[f356]) ).
thf(f356,negated_conjecture,
( ( convex_a @ ( lower_1391529426main_a @ f ) )
!= ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
inference(negated_conjecture,[],[f355]) ).
thf(f355,conjecture,
( ( convex_a @ ( lower_1391529426main_a @ f ) )
= ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f1187,plain,
! [X0: a > extended_ereal] :
( ( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
!= $true )
| ( ( convex_a @ ( lower_1391529426main_a @ X0 ) )
= $true ) ),
inference(cnf_transformation,[],[f901]) ).
thf(f901,plain,
! [X0: a > extended_ereal] :
( ( ( convex_a @ ( lower_1391529426main_a @ X0 ) )
= $true )
| ( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f441]) ).
thf(f441,plain,
! [X0: a > extended_ereal] :
( ( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
= $true )
=> ( ( convex_a @ ( lower_1391529426main_a @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f440]) ).
thf(f440,plain,
! [X0: a > extended_ereal] :
( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
=> ( convex_a @ ( lower_1391529426main_a @ X0 ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: a > extended_ereal] :
( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
=> ( convex_a @ ( lower_1391529426main_a @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_convex__domain) ).
thf(f1372,plain,
~ spl101_2,
inference(avatar_contradiction_clause,[],[f1371]) ).
thf(f1371,plain,
( $false
| ~ spl101_2 ),
inference(subsumption_resolution,[],[f1358,f1348]) ).
thf(f1358,plain,
( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
!= $true )
| ~ spl101_2 ),
inference(trivial_inequality_removal,[],[f1354]) ).
thf(f1354,plain,
( ( $true = $false )
| ( ( convex_a @ ( lower_1391529426main_a @ f ) )
!= $true )
| ~ spl101_2 ),
inference(superposition,[],[f1169,f1345]) ).
thf(f1345,plain,
( ( ( lower_311861424x_on_a @ top_top_set_a @ f )
= $false )
| ~ spl101_2 ),
inference(avatar_component_clause,[],[f1343]) ).
thf(f1343,plain,
( spl101_2
<=> ( ( lower_311861424x_on_a @ top_top_set_a @ f )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl101_2])]) ).
thf(f1346,plain,
( spl101_1
| spl101_2 ),
inference(avatar_split_clause,[],[f1336,f1343,f1339]) ).
thf(f1336,plain,
( ( ( lower_311861424x_on_a @ top_top_set_a @ f )
= $false )
| ( ( convex_a @ ( lower_1391529426main_a @ f ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f1298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP110^1 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 03:44:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.39 % (8798)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.39 % (8797)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.39 % (8799)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.39 % (8796)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.39 % (8800)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.39 % (8801)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.39 % (8802)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.39 % (8799)Instruction limit reached!
% 0.12/0.39 % (8799)------------------------------
% 0.12/0.39 % (8799)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (8799)Termination reason: Unknown
% 0.12/0.39 % (8799)Termination phase: shuffling
% 0.12/0.39 % (8800)Instruction limit reached!
% 0.12/0.39 % (8800)------------------------------
% 0.12/0.39 % (8800)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (8800)Termination reason: Unknown
% 0.12/0.39 % (8800)Termination phase: shuffling
% 0.12/0.39
% 0.12/0.39 % (8800)Memory used [KB]: 1407
% 0.12/0.39 % (8800)Time elapsed: 0.004 s
% 0.12/0.39 % (8800)Instructions burned: 3 (million)
% 0.12/0.39 % (8800)------------------------------
% 0.12/0.39 % (8800)------------------------------
% 0.12/0.39
% 0.12/0.39 % (8799)Memory used [KB]: 1407
% 0.12/0.39 % (8799)Time elapsed: 0.004 s
% 0.12/0.39 % (8799)Instructions burned: 2 (million)
% 0.12/0.39 % (8799)------------------------------
% 0.12/0.39 % (8799)------------------------------
% 0.12/0.39 % (8797)Instruction limit reached!
% 0.12/0.39 % (8797)------------------------------
% 0.12/0.39 % (8797)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (8797)Termination reason: Unknown
% 0.12/0.39 % (8797)Termination phase: shuffling
% 0.12/0.39
% 0.12/0.39 % (8797)Memory used [KB]: 1407
% 0.12/0.39 % (8797)Time elapsed: 0.005 s
% 0.12/0.39 % (8797)Instructions burned: 4 (million)
% 0.12/0.39 % (8797)------------------------------
% 0.12/0.39 % (8797)------------------------------
% 0.12/0.40 % (8802)Instruction limit reached!
% 0.12/0.40 % (8802)------------------------------
% 0.12/0.40 % (8802)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (8802)Termination reason: Unknown
% 0.12/0.40 % (8802)Termination phase: Property scanning
% 0.12/0.40
% 0.12/0.40 % (8802)Memory used [KB]: 1791
% 0.12/0.40 % (8802)Time elapsed: 0.014 s
% 0.12/0.40 % (8802)Instructions burned: 18 (million)
% 0.12/0.40 % (8802)------------------------------
% 0.12/0.40 % (8802)------------------------------
% 0.20/0.41 % (8805)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.41 % (8798)Instruction limit reached!
% 0.20/0.41 % (8798)------------------------------
% 0.20/0.41 % (8798)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (8798)Termination reason: Unknown
% 0.20/0.41 % (8798)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (8798)Memory used [KB]: 1791
% 0.20/0.41 % (8798)Time elapsed: 0.019 s
% 0.20/0.41 % (8798)Instructions burned: 28 (million)
% 0.20/0.41 % (8798)------------------------------
% 0.20/0.41 % (8798)------------------------------
% 0.20/0.41 % (8803)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (8804)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.41 % (8803)Instruction limit reached!
% 0.20/0.41 % (8803)------------------------------
% 0.20/0.41 % (8803)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (8803)Termination reason: Unknown
% 0.20/0.41 % (8803)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (8803)Memory used [KB]: 1407
% 0.20/0.41 % (8803)Time elapsed: 0.004 s
% 0.20/0.41 % (8803)Instructions burned: 3 (million)
% 0.20/0.41 % (8803)------------------------------
% 0.20/0.41 % (8803)------------------------------
% 0.20/0.41 % (8805)Instruction limit reached!
% 0.20/0.41 % (8805)------------------------------
% 0.20/0.41 % (8805)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (8805)Termination reason: Unknown
% 0.20/0.41 % (8805)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (8805)Memory used [KB]: 1663
% 0.20/0.41 % (8805)Time elapsed: 0.009 s
% 0.20/0.41 % (8805)Instructions burned: 15 (million)
% 0.20/0.41 % (8805)------------------------------
% 0.20/0.41 % (8805)------------------------------
% 0.20/0.42 % (8806)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (8806)Instruction limit reached!
% 0.20/0.42 % (8806)------------------------------
% 0.20/0.42 % (8806)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (8806)Termination reason: Unknown
% 0.20/0.42 % (8806)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (8806)Memory used [KB]: 1407
% 0.20/0.42 % (8806)Time elapsed: 0.005 s
% 0.20/0.42 % (8806)Instructions burned: 4 (million)
% 0.20/0.42 % (8806)------------------------------
% 0.20/0.42 % (8806)------------------------------
% 0.20/0.42 % (8807)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.20/0.43 % (8808)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.43 % (8801)First to succeed.
% 0.20/0.43 % (8804)Instruction limit reached!
% 0.20/0.43 % (8804)------------------------------
% 0.20/0.43 % (8804)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (8804)Termination reason: Unknown
% 0.20/0.43 % (8804)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (8804)Memory used [KB]: 2174
% 0.20/0.43 % (8804)Time elapsed: 0.022 s
% 0.20/0.43 % (8804)Instructions burned: 38 (million)
% 0.20/0.43 % (8804)------------------------------
% 0.20/0.43 % (8804)------------------------------
% 0.20/0.43 % (8801)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (8801)------------------------------
% 0.20/0.43 % (8801)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.43 % (8801)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (8801)Memory used [KB]: 6780
% 0.20/0.43 % (8801)Time elapsed: 0.039 s
% 0.20/0.43 % (8801)Instructions burned: 60 (million)
% 0.20/0.43 % (8801)------------------------------
% 0.20/0.43 % (8801)------------------------------
% 0.20/0.43 % (8795)Success in time 0.08 s
%------------------------------------------------------------------------------