TSTP Solution File: ITP028^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ITP028^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 09:35:13 EDT 2024
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 193 ( 57 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 241 ( 31 ~; 21 |; 18 &; 158 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 16 ( 15 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 139 ( 136 usr; 13 con; 0-5 aty)
% Number of variables : 11 ( 0 ^ 7 !; 4 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_a: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
e: $tType ).
thf(type_def_9,type,
produc715398134_a_a_e: $tType ).
thf(type_def_10,type,
set_Pr204296108_a_a_e: $tType ).
thf(type_def_11,type,
set_set_a: $tType ).
thf(type_def_12,type,
set_se821189730_a_a_e: $tType ).
thf(type_def_13,type,
set_set_set_a: $tType ).
thf(type_def_14,type,
set_a_e: $tType ).
thf(type_def_15,type,
set_Pr305929312_set_a: $tType ).
thf(type_def_16,type,
set_Pr1710391469_a_a_e: $tType ).
thf(type_def_17,type,
set_Pr2045688071_set_a: $tType ).
thf(type_def_18,type,
produc1965228714_set_a: $tType ).
thf(type_def_19,type,
produc169085773_a_a_e: $tType ).
thf(type_def_20,type,
produc1691597095_set_a: $tType ).
thf(func_def_0,type,
set_Pr1710391469_a_a_e: $tType ).
thf(func_def_1,type,
produc169085773_a_a_e: $tType ).
thf(func_def_2,type,
set_se821189730_a_a_e: $tType ).
thf(func_def_3,type,
set_Pr2045688071_set_a: $tType ).
thf(func_def_4,type,
set_Pr204296108_a_a_e: $tType ).
thf(func_def_5,type,
set_Pr305929312_set_a: $tType ).
thf(func_def_6,type,
produc1691597095_set_a: $tType ).
thf(func_def_7,type,
produc715398134_a_a_e: $tType ).
thf(func_def_8,type,
produc1965228714_set_a: $tType ).
thf(func_def_9,type,
set_set_set_a: $tType ).
thf(func_def_10,type,
set_set_a: $tType ).
thf(func_def_11,type,
set_a_e: $tType ).
thf(func_def_12,type,
set_a: $tType ).
thf(func_def_13,type,
e: $tType ).
thf(func_def_14,type,
a: $tType ).
thf(func_def_15,type,
bNF_fs1024561536_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_16,type,
bNF_pi1175744974_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > set_a > ( a > e ) > a > e ).
thf(func_def_17,type,
bNF_pi929741261_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > set_a ).
thf(func_def_18,type,
bNF_sn375433437_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_19,type,
bNF_Gr2072183031_a_a_e: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > a > e ) > set_Pr204296108_a_a_e ).
thf(func_def_20,type,
bNF_Gr1872575811_a_a_e: set_set_a > ( set_a > set_a ) > ( set_a > a > e ) > set_Pr204296108_a_a_e ).
thf(func_def_21,type,
finite33065488_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e ).
thf(func_def_22,type,
finite_Fpow_set_a: set_set_a > set_set_set_a ).
thf(func_def_23,type,
finite_Fpow_a: set_a > set_set_a ).
thf(func_def_24,type,
fun_in_rel_set_a_a_e: set_Pr204296108_a_a_e > set_a > ( a > e ) > $o ).
thf(func_def_25,type,
ord_less_eq_o_set_a: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(func_def_26,type,
ord_less_eq_set_a_e: set_a_e > set_a_e > $o ).
thf(func_def_27,type,
ord_le802356416_set_a: set_Pr305929312_set_a > set_Pr305929312_set_a > $o ).
thf(func_def_28,type,
ord_le700723212_a_a_e: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > $o ).
thf(func_def_29,type,
ord_le2103863998_set_a: set_set_set_a > set_set_set_a > $o ).
thf(func_def_30,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(func_def_31,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_32,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(func_def_33,type,
top_to2000253225_a_e_o: produc715398134_a_a_e > $o ).
thf(func_def_34,type,
top_top_set_a_o: set_a > $o ).
thf(func_def_35,type,
top_to970499581_a_a_e: set_Pr1710391469_a_a_e ).
thf(func_def_36,type,
top_to1601855068_a_a_e: set_Pr204296108_a_a_e ).
thf(func_def_37,type,
top_to144004695_set_a: set_Pr2045688071_set_a ).
thf(func_def_38,type,
top_top_set_set_a: set_set_a ).
thf(func_def_39,type,
top_top_set_a: set_a ).
thf(func_def_40,type,
produc479206876_set_a: ( a > e ) > set_a > produc1965228714_set_a ).
thf(func_def_41,type,
produc1134456688_a_a_e: set_a > ( a > e ) > produc715398134_a_a_e ).
thf(func_def_42,type,
produc952037978_a_e_o: ( produc715398134_a_a_e > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_43,type,
produc387505142_set_a: ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > produc169085773_a_a_e > produc1691597095_set_a ).
thf(func_def_44,type,
produc1443219402_e_a_e: ( set_a > set_a ) > ( ( a > e ) > a > e ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_45,type,
produc1341862587_a_e_o: ( set_a > ( a > e ) > $o ) > produc715398134_a_a_e > $o ).
thf(func_def_46,type,
produc1096319049_a_a_e: ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e > set_Pr204296108_a_a_e ).
thf(func_def_47,type,
produc1620938593_set_a: ( set_a > ( a > e ) > set_set_a ) > produc715398134_a_a_e > set_set_a ).
thf(func_def_48,type,
produc385678576_set_a: produc1965228714_set_a > a > e ).
thf(func_def_49,type,
produc1040928388_a_a_e: produc715398134_a_a_e > set_a ).
thf(func_def_50,type,
produc1809800494_set_a: produc1965228714_set_a > set_a ).
thf(func_def_51,type,
produc317566658_a_a_e: produc715398134_a_a_e > a > e ).
thf(func_def_52,type,
produc100464700_set_a: produc1965228714_set_a > produc715398134_a_a_e ).
thf(func_def_53,type,
produc755714512_a_a_e: produc715398134_a_a_e > produc1965228714_set_a ).
thf(func_def_54,type,
domain_set_a_a_e: set_Pr204296108_a_a_e > set_set_a ).
thf(func_def_55,type,
range_set_a_a_e: set_Pr204296108_a_a_e > set_a_e ).
thf(func_def_56,type,
converse_a_e_set_a: set_Pr305929312_set_a > set_Pr204296108_a_a_e ).
thf(func_def_57,type,
converse_set_a_a_e: set_Pr204296108_a_a_e > set_Pr305929312_set_a ).
thf(func_def_58,type,
relcom658603713_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_59,type,
relcom779348378_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_60,type,
collec1369693387_a_a_e: ( produc715398134_a_a_e > $o ) > set_Pr204296108_a_a_e ).
thf(func_def_61,type,
collect_set_a: ( set_a > $o ) > set_set_a ).
thf(func_def_62,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_63,type,
pow_Pr328302361_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e ).
thf(func_def_64,type,
pow_set_a: set_set_a > set_set_set_a ).
thf(func_def_65,type,
pow_a: set_a > set_set_a ).
thf(func_def_66,type,
image_a_e_a: ( ( a > e ) > a ) > set_a_e > set_a ).
thf(func_def_67,type,
image_376979367_a_a_e: ( produc1965228714_set_a > produc715398134_a_a_e ) > set_Pr305929312_set_a > set_Pr204296108_a_a_e ).
thf(func_def_68,type,
image_2101504031_set_a: ( produc169085773_a_a_e > produc1691597095_set_a ) > set_Pr1710391469_a_a_e > set_Pr2045688071_set_a ).
thf(func_def_69,type,
image_1149879910_e_a_e: ( produc715398134_a_a_e > a > e ) > set_Pr204296108_a_a_e > set_a_e ).
thf(func_def_70,type,
image_1875450791_set_a: ( produc715398134_a_a_e > produc1965228714_set_a ) > set_Pr204296108_a_a_e > set_Pr305929312_set_a ).
thf(func_def_71,type,
image_625620211_a_a_e: ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(func_def_72,type,
image_64240033_set_a: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > set_set_a ).
thf(func_def_73,type,
image_2116492353_a_e_a: ( produc715398134_a_a_e > a ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_74,type,
image_1441218763_set_a: ( set_Pr204296108_a_a_e > set_set_a ) > set_se821189730_a_a_e > set_set_set_a ).
thf(func_def_75,type,
image_1956910981_set_a: ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a ).
thf(func_def_76,type,
image_402591269_set_a: ( set_set_a > set_a ) > set_set_set_a > set_set_a ).
thf(func_def_77,type,
image_set_set_a_a: ( set_set_a > a ) > set_set_set_a > set_a ).
thf(func_def_78,type,
image_set_a_a_e: ( set_a > a > e ) > set_set_a > set_a_e ).
thf(func_def_79,type,
image_210900495_a_a_e: ( set_a > produc715398134_a_a_e ) > set_set_a > set_Pr204296108_a_a_e ).
thf(func_def_80,type,
image_1930509541_set_a: ( set_a > set_set_a ) > set_set_a > set_set_set_a ).
thf(func_def_81,type,
image_set_a_set_a: ( set_a > set_a ) > set_set_a > set_set_a ).
thf(func_def_82,type,
image_set_a_a: ( set_a > a ) > set_set_a > set_a ).
thf(func_def_83,type,
image_a_a_e: ( a > a > e ) > set_a > set_a_e ).
thf(func_def_84,type,
image_a_set_set_a: ( a > set_set_a ) > set_a > set_set_set_a ).
thf(func_def_85,type,
image_a_set_a: ( a > set_a ) > set_a > set_set_a ).
thf(func_def_86,type,
image_a_a: ( a > a ) > set_a > set_a ).
thf(func_def_87,type,
member_a_e: ( a > e ) > set_a_e > $o ).
thf(func_def_88,type,
member360729153_set_a: produc1965228714_set_a > set_Pr305929312_set_a > $o ).
thf(func_def_89,type,
member1258382221_a_a_e: produc715398134_a_a_e > set_Pr204296108_a_a_e > $o ).
thf(func_def_90,type,
member1437121347_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e > $o ).
thf(func_def_91,type,
member_set_set_a: set_set_a > set_set_set_a > $o ).
thf(func_def_92,type,
member_set_a: set_a > set_set_a > $o ).
thf(func_def_93,type,
member_a: a > set_a > $o ).
thf(func_def_94,type,
c: set_Pr204296108_a_a_e ).
thf(func_def_95,type,
a1: set_a ).
thf(func_def_96,type,
a2: set_a ).
thf(func_def_97,type,
a3: set_a ).
thf(func_def_98,type,
b1: a > e ).
thf(func_def_99,type,
b2: a > e ).
thf(func_def_100,type,
b3: a > e ).
thf(func_def_113,type,
sK0: set_set_a > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e ).
thf(func_def_114,type,
sK1: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > ( set_a > $o ) > produc715398134_a_a_e ).
thf(func_def_115,type,
sK2: set_Pr204296108_a_a_e > set_set_a > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_116,type,
sK3: ( set_set_a > set_set_a ) > set_set_a ).
thf(func_def_117,type,
sK4: ( set_set_a > set_set_a ) > set_set_a ).
thf(func_def_118,type,
sK5: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_119,type,
sK6: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > set_a ).
thf(func_def_120,type,
sK7: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > a > e ).
thf(func_def_121,type,
sK8: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_122,type,
sK9: produc715398134_a_a_e > set_a ).
thf(func_def_123,type,
sK10: produc715398134_a_a_e > a > e ).
thf(func_def_124,type,
sK11: produc715398134_a_a_e > a > e ).
thf(func_def_125,type,
sK12: produc715398134_a_a_e > set_a ).
thf(func_def_126,type,
sK13: ( produc715398134_a_a_e > $o ) > set_a ).
thf(func_def_127,type,
sK14: ( produc715398134_a_a_e > $o ) > a > e ).
thf(func_def_128,type,
sK15: ( set_a > set_a ) > set_a ).
thf(func_def_129,type,
sK16: ( set_a > set_a ) > set_a ).
thf(func_def_130,type,
sK17: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_131,type,
sK18: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_132,type,
sK19: ( set_a > set_a ) > set_a ).
thf(func_def_133,type,
sK20: ( set_a > set_a ) > set_a ).
thf(func_def_134,type,
sK21: ( set_set_a > $o ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_set_a ).
thf(func_def_135,type,
sK22: ( set_set_a > $o ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e ).
thf(func_def_136,type,
sK23: ( set_set_a > set_a ) > set_set_a ).
thf(func_def_137,type,
sK24: ( set_set_a > set_a ) > set_set_a ).
thf(func_def_138,type,
sK25: set_a ).
thf(func_def_139,type,
sK26: ( set_a > set_a ) > set_a ).
thf(func_def_140,type,
sK27: ( set_a > set_a ) > set_a ).
thf(func_def_141,type,
sK28: produc715398134_a_a_e > set_a > a > e ).
thf(func_def_142,type,
sK29: ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_143,type,
sK30: set_set_a > set_set_a > set_a ).
thf(func_def_144,type,
sK31: ( set_a > set_a ) > set_a ).
thf(func_def_145,type,
sK32: ( set_a > set_a ) > set_a ).
thf(func_def_146,type,
sK33: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > ( set_a > $o ) > set_a ).
thf(func_def_147,type,
sK34: set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_148,type,
sK35: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > set_set_a > produc715398134_a_a_e ).
thf(func_def_149,type,
sK36: set_set_a > set_set_a > set_a ).
thf(func_def_150,type,
sK37: ( produc715398134_a_a_e > $o ) > a > e ).
thf(func_def_151,type,
sK38: ( produc715398134_a_a_e > $o ) > set_a ).
thf(func_def_152,type,
sK39: ( set_a > set_set_a ) > set_a ).
thf(func_def_153,type,
sK40: ( set_a > set_set_a ) > set_a ).
thf(func_def_154,type,
sK41: set_set_a > set_set_a > set_a ).
thf(func_def_155,type,
sK42: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_156,type,
sK43: set_set_a > set_set_a > set_a ).
thf(func_def_157,type,
sK44: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_158,type,
sK45: set_Pr204296108_a_a_e > set_set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e ).
thf(func_def_159,type,
sK46: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_160,type,
sK47: ( produc715398134_a_a_e > set_a ) > set_a > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_162,type,
ph49:
!>[X0: $tType] : X0 ).
thf(f1529,plain,
$false,
inference(subsumption_resolution,[],[f1528,f1333]) ).
thf(f1333,plain,
( ( ord_less_eq_set_a @ a3 @ sK25 )
= $true ),
inference(cnf_transformation,[],[f1203]) ).
thf(f1203,plain,
( ( ( ord_less_eq_set_a @ a1 @ sK25 )
= $true )
& ( $true
= ( ord_less_eq_set_a @ a2 @ sK25 ) )
& ( $true
= ( member_set_a @ sK25 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) )
& ( ( ord_less_eq_set_a @ a3 @ sK25 )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f910,f1202]) ).
thf(f1202,plain,
( ? [X0: set_a] :
( ( $true
= ( ord_less_eq_set_a @ a1 @ X0 ) )
& ( $true
= ( ord_less_eq_set_a @ a2 @ X0 ) )
& ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true )
& ( $true
= ( ord_less_eq_set_a @ a3 @ X0 ) ) )
=> ( ( ( ord_less_eq_set_a @ a1 @ sK25 )
= $true )
& ( $true
= ( ord_less_eq_set_a @ a2 @ sK25 ) )
& ( $true
= ( member_set_a @ sK25 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) )
& ( ( ord_less_eq_set_a @ a3 @ sK25 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f910,plain,
? [X0: set_a] :
( ( $true
= ( ord_less_eq_set_a @ a1 @ X0 ) )
& ( $true
= ( ord_less_eq_set_a @ a2 @ X0 ) )
& ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true )
& ( $true
= ( ord_less_eq_set_a @ a3 @ X0 ) ) ),
inference(fool_elimination,[],[f909]) ).
thf(f909,plain,
? [X0: set_a] :
( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X0 )
& ( ord_less_eq_set_a @ a3 @ X0 )
& ( ord_less_eq_set_a @ a2 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
? [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X2 )
& ( ord_less_eq_set_a @ a3 @ X2 )
& ( ord_less_eq_set_a @ a2 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062) ).
thf(f1528,plain,
( ( ord_less_eq_set_a @ a3 @ sK25 )
!= $true ),
inference(subsumption_resolution,[],[f1527,f1335]) ).
thf(f1335,plain,
( $true
= ( ord_less_eq_set_a @ a2 @ sK25 ) ),
inference(cnf_transformation,[],[f1203]) ).
thf(f1527,plain,
( ( $true
!= ( ord_less_eq_set_a @ a2 @ sK25 ) )
| ( ( ord_less_eq_set_a @ a3 @ sK25 )
!= $true ) ),
inference(subsumption_resolution,[],[f1483,f1336]) ).
thf(f1336,plain,
( ( ord_less_eq_set_a @ a1 @ sK25 )
= $true ),
inference(cnf_transformation,[],[f1203]) ).
thf(f1483,plain,
( ( ( ord_less_eq_set_a @ a1 @ sK25 )
!= $true )
| ( $true
!= ( ord_less_eq_set_a @ a2 @ sK25 ) )
| ( ( ord_less_eq_set_a @ a3 @ sK25 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1480]) ).
thf(f1480,plain,
( ( $true
!= ( ord_less_eq_set_a @ a2 @ sK25 ) )
| ( $true != $true )
| ( ( ord_less_eq_set_a @ a1 @ sK25 )
!= $true )
| ( ( ord_less_eq_set_a @ a3 @ sK25 )
!= $true ) ),
inference(superposition,[],[f1462,f1334]) ).
thf(f1334,plain,
( $true
= ( member_set_a @ sK25 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) ),
inference(cnf_transformation,[],[f1203]) ).
thf(f1462,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $true
!= ( ord_less_eq_set_a @ a2 @ X0 ) )
| ( $true
!= ( ord_less_eq_set_a @ a1 @ X0 ) )
| ( $true
!= ( ord_less_eq_set_a @ a3 @ X0 ) ) ),
inference(subsumption_resolution,[],[f1367,f1256]) ).
thf(f1256,plain,
thesis != $true,
inference(cnf_transformation,[],[f993]) ).
thf(f993,plain,
thesis != $true,
inference(flattening,[],[f670]) ).
thf(f670,plain,
thesis != $true,
inference(fool_elimination,[],[f669]) ).
thf(f669,plain,
~ thesis,
inference(rectify,[],[f355]) ).
thf(f355,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f354]) ).
thf(f354,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f1367,plain,
! [X0: set_a] :
( ( $true
!= ( ord_less_eq_set_a @ a3 @ X0 ) )
| ( $true
!= ( ord_less_eq_set_a @ a2 @ X0 ) )
| ( thesis = $true )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $true
!= ( ord_less_eq_set_a @ a1 @ X0 ) ) ),
inference(cnf_transformation,[],[f1030]) ).
thf(f1030,plain,
! [X0: set_a] :
( ( $true
!= ( ord_less_eq_set_a @ a1 @ X0 ) )
| ( $true
!= ( ord_less_eq_set_a @ a3 @ X0 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( $true
!= ( ord_less_eq_set_a @ a2 @ X0 ) )
| ( thesis = $true ) ),
inference(flattening,[],[f1029]) ).
thf(f1029,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( $true
!= ( ord_less_eq_set_a @ a3 @ X0 ) )
| ( $true
!= ( ord_less_eq_set_a @ a2 @ X0 ) )
| ( $true
!= ( ord_less_eq_set_a @ a1 @ X0 ) )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(ennf_transformation,[],[f808]) ).
thf(f808,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true )
=> ( ( $true
= ( ord_less_eq_set_a @ a1 @ X0 ) )
=> ( ( $true
= ( ord_less_eq_set_a @ a2 @ X0 ) )
=> ( ( $true
= ( ord_less_eq_set_a @ a3 @ X0 ) )
=> ( thesis = $true ) ) ) ) ),
inference(fool_elimination,[],[f807]) ).
thf(f807,plain,
! [X0: set_a] :
( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X0 )
=> ( ( ord_less_eq_set_a @ a2 @ X0 )
=> ( ( ord_less_eq_set_a @ a3 @ X0 )
=> thesis ) ) ) ),
inference(rectify,[],[f353]) ).
thf(f353,axiom,
! [X66: set_a] :
( ( member_set_a @ X66 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X66 )
=> ( ( ord_less_eq_set_a @ a2 @ X66 )
=> ( ( ord_less_eq_set_a @ a3 @ X66 )
=> thesis ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP028^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.10/0.33 % Computer : n015.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Wed Jun 19 00:09:24 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.35 This is a TH0_THM_EQU_NAR problem
% 0.10/0.35 Running higher-order theorem proving
% 0.10/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.18/0.39 % (4626)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.39 % (4622)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)
% 0.18/0.39 % (4625)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)
% 0.18/0.39 % (4623)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.39 % (4624)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)
% 0.18/0.39 % (4621)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)
% 0.18/0.39 % (4623)Instruction limit reached!
% 0.18/0.39 % (4623)------------------------------
% 0.18/0.39 % (4623)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (4623)Termination reason: Unknown
% 0.18/0.39 % (4623)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (4624)Instruction limit reached!
% 0.18/0.39 % (4624)------------------------------
% 0.18/0.39 % (4624)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (4624)Termination reason: Unknown
% 0.18/0.39 % (4624)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (4624)Memory used [KB]: 1535
% 0.18/0.39 % (4624)Time elapsed: 0.004 s
% 0.18/0.39 % (4624)Instructions burned: 4 (million)
% 0.18/0.39 % (4624)------------------------------
% 0.18/0.39 % (4624)------------------------------
% 0.18/0.39 % (4623)Memory used [KB]: 1535
% 0.18/0.39 % (4623)Time elapsed: 0.004 s
% 0.18/0.39 % (4623)Instructions burned: 3 (million)
% 0.18/0.39 % (4623)------------------------------
% 0.18/0.39 % (4623)------------------------------
% 0.18/0.39 % (4620)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.18/0.39 % (4621)Instruction limit reached!
% 0.18/0.39 % (4621)------------------------------
% 0.18/0.39 % (4621)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (4621)Termination reason: Unknown
% 0.18/0.39 % (4621)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (4621)Memory used [KB]: 1535
% 0.18/0.39 % (4621)Time elapsed: 0.004 s
% 0.18/0.39 % (4621)Instructions burned: 5 (million)
% 0.18/0.39 % (4621)------------------------------
% 0.18/0.39 % (4621)------------------------------
% 0.18/0.40 % (4626)Instruction limit reached!
% 0.18/0.40 % (4626)------------------------------
% 0.18/0.40 % (4626)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (4626)Termination reason: Unknown
% 0.18/0.40 % (4626)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (4626)Memory used [KB]: 1918
% 0.18/0.40 % (4626)Time elapsed: 0.011 s
% 0.18/0.40 % (4626)Instructions burned: 18 (million)
% 0.18/0.40 % (4626)------------------------------
% 0.18/0.40 % (4626)------------------------------
% 0.18/0.41 % (4622)Instruction limit reached!
% 0.18/0.41 % (4622)------------------------------
% 0.18/0.41 % (4622)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (4622)Termination reason: Unknown
% 0.18/0.41 % (4622)Termination phase: Property scanning
% 0.18/0.41
% 0.18/0.41 % (4622)Memory used [KB]: 2046
% 0.18/0.41 % (4622)Time elapsed: 0.016 s
% 0.18/0.41 % (4622)Instructions burned: 27 (million)
% 0.18/0.41 % (4622)------------------------------
% 0.18/0.41 % (4622)------------------------------
% 0.18/0.41 % (4627)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)
% 0.18/0.41 % (4628)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)
% 0.18/0.41 % (4629)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)
% 0.18/0.41 % (4627)Instruction limit reached!
% 0.18/0.41 % (4627)------------------------------
% 0.18/0.41 % (4627)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (4627)Termination reason: Unknown
% 0.18/0.41 % (4627)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (4627)Memory used [KB]: 1535
% 0.18/0.41 % (4627)Time elapsed: 0.004 s
% 0.18/0.41 % (4627)Instructions burned: 4 (million)
% 0.18/0.41 % (4627)------------------------------
% 0.18/0.41 % (4627)------------------------------
% 0.18/0.42 % (4630)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)
% 0.18/0.42 % (4630)Instruction limit reached!
% 0.18/0.42 % (4630)------------------------------
% 0.18/0.42 % (4630)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.42 % (4630)Termination reason: Unknown
% 0.18/0.42 % (4630)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (4630)Memory used [KB]: 1535
% 0.18/0.42 % (4630)Time elapsed: 0.004 s
% 0.18/0.42 % (4630)Instructions burned: 3 (million)
% 0.18/0.42 % (4630)------------------------------
% 0.18/0.42 % (4630)------------------------------
% 0.18/0.42 % (4629)Instruction limit reached!
% 0.18/0.42 % (4629)------------------------------
% 0.18/0.42 % (4629)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.42 % (4629)Termination reason: Unknown
% 0.18/0.42 % (4629)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (4629)Memory used [KB]: 1791
% 0.18/0.42 % (4629)Time elapsed: 0.010 s
% 0.18/0.42 % (4629)Instructions burned: 16 (million)
% 0.18/0.42 % (4629)------------------------------
% 0.18/0.42 % (4629)------------------------------
% 0.18/0.42 % (4631)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)
% 0.18/0.43 % (4632)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.43 % (4628)Instruction limit reached!
% 0.18/0.43 % (4628)------------------------------
% 0.18/0.43 % (4628)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.43 % (4628)Termination reason: Unknown
% 0.18/0.43 % (4628)Termination phase: shuffling
% 0.18/0.43
% 0.18/0.43 % (4628)Memory used [KB]: 2302
% 0.18/0.43 % (4628)Time elapsed: 0.019 s
% 0.18/0.43 % (4628)Instructions burned: 37 (million)
% 0.18/0.43 % (4628)------------------------------
% 0.18/0.43 % (4628)------------------------------
% 0.18/0.43 % (4632)Instruction limit reached!
% 0.18/0.43 % (4632)------------------------------
% 0.18/0.43 % (4632)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.43 % (4632)Termination reason: Unknown
% 0.18/0.43 % (4632)Termination phase: shuffling
% 0.18/0.43
% 0.18/0.43 % (4632)Memory used [KB]: 1663
% 0.18/0.43 % (4632)Time elapsed: 0.006 s
% 0.18/0.43 % (4632)Instructions burned: 8 (million)
% 0.18/0.43 % (4632)------------------------------
% 0.18/0.43 % (4632)------------------------------
% 0.18/0.43 % (4633)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.43 % (4634)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.43 % (4625)First to succeed.
% 0.18/0.43 % (4634)Instruction limit reached!
% 0.18/0.43 % (4634)------------------------------
% 0.18/0.43 % (4634)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.43 % (4634)Termination reason: Unknown
% 0.18/0.43 % (4634)Termination phase: shuffling
% 0.18/0.43
% 0.18/0.43 % (4634)Memory used [KB]: 1535
% 0.18/0.43 % (4634)Time elapsed: 0.004 s
% 0.18/0.43 % (4634)Instructions burned: 4 (million)
% 0.18/0.43 % (4634)------------------------------
% 0.18/0.43 % (4634)------------------------------
% 0.18/0.44 % (4625)Refutation found. Thanks to Tanya!
% 0.18/0.44 % SZS status Theorem for theBenchmark
% 0.18/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.44 % (4625)------------------------------
% 0.18/0.44 % (4625)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.44 % (4625)Termination reason: Refutation
% 0.18/0.44
% 0.18/0.44 % (4625)Memory used [KB]: 6908
% 0.18/0.44 % (4625)Time elapsed: 0.043 s
% 0.18/0.44 % (4625)Instructions burned: 79 (million)
% 0.18/0.44 % (4625)------------------------------
% 0.18/0.44 % (4625)------------------------------
% 0.18/0.44 % (4619)Success in time 0.075 s
%------------------------------------------------------------------------------