%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP180^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:42 AM UTC 2026
% Result : Theorem 0.90s 0.58s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 104 ( 30 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 386 ( 21 ~; 12 |; 0 &; 347 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 44 ( 43 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 167 ( 164 usr; 27 con; 0-4 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr361461255at_nat: $tType ).
thf(type_def_6,type,
set_Pr1326571566_V_nat: $tType ).
thf(type_def_7,type,
set_Pr1007924423_V_nat: $tType ).
thf(type_def_8,type,
set_Pr872354016od_V_V: $tType ).
thf(type_def_9,type,
produc1269720746od_V_V: $tType ).
thf(type_def_10,type,
set_Pr597600647_V_nat: $tType ).
thf(type_def_11,type,
labele506073123_V_nat: $tType ).
thf(type_def_12,type,
set_Pr2015814777od_V_V: $tType ).
thf(type_def_13,type,
set_Pr1056235617_nat_V: $tType ).
thf(type_def_14,type,
produc1082089497od_V_V: $tType ).
thf(type_def_15,type,
set_Pr473545225_V_nat: $tType ).
thf(type_def_16,type,
set_Pr1058435079_V_nat: $tType ).
thf(type_def_17,type,
produc778275879_V_nat: $tType ).
thf(type_def_18,type,
produc651414759nt_V_V: $tType ).
thf(type_def_19,type,
labele201426742od_V_V: $tType ).
thf(type_def_20,type,
set_Pr951255342od_V_V: $tType ).
thf(type_def_21,type,
produc1443401592od_V_V: $tType ).
thf(type_def_22,type,
set_Pr257494450_V_V_V: $tType ).
thf(type_def_23,type,
set_Pr744279122od_V_V: $tType ).
thf(type_def_24,type,
set_Pr1498723630od_V_V: $tType ).
thf(type_def_25,type,
labele236903175od_V_V: $tType ).
thf(type_def_26,type,
set_Pr2022779335od_V_V: $tType ).
thf(type_def_27,type,
produc1699571228od_V_V: $tType ).
thf(type_def_28,type,
produc1113554040od_V_V: $tType ).
thf(type_def_29,type,
set_la14611914_V_nat: $tType ).
thf(type_def_30,type,
produc522115815od_V_V: $tType ).
thf(type_def_31,type,
labele2128733290_V_nat: $tType ).
thf(type_def_32,type,
allego859987871tant_V: $tType ).
thf(type_def_33,type,
labele2115946735nt_V_V: $tType ).
thf(type_def_34,type,
set_Pr1228022213_V_V_V: $tType ).
thf(type_def_35,type,
labele788688367nt_V_V: $tType ).
thf(type_def_36,type,
set_St1111633946tant_V: $tType ).
thf(type_def_37,type,
set_Pr53436518_nat_V: $tType ).
thf(type_def_38,type,
set_Product_prod_V_V: $tType ).
thf(type_def_39,type,
set_Product_prod_V_V2: $tType ).
thf(type_def_40,type,
set_Product_prod_V_V3: $tType ).
thf(type_def_41,type,
standard_Constant_V: $tType ).
thf(type_def_42,type,
product_prod_V_V: $tType ).
thf(type_def_43,type,
product_prod_V_V2: $tType ).
thf(type_def_44,type,
set_V: $tType ).
thf(type_def_45,type,
set_V2: $tType ).
thf(type_def_46,type,
v: $tType ).
thf(type_def_47,type,
v2: $tType ).
thf(type_def_48,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Gr320641027od_V_V: set_St1111633946tant_V > ( standard_Constant_V > product_prod_V_V ) > set_Pr744279122od_V_V ).
thf(func_def_1,type,
bNF_Gr17960482_V_nat: set_la14611914_V_nat > ( labele2128733290_V_nat > labele2128733290_V_nat ) > set_Pr1058435079_V_nat ).
thf(func_def_2,type,
bNF_Gr480427157_V_V_V: set_Pr744279122od_V_V > ( produc1699571228od_V_V > v ) > set_Pr257494450_V_V_V ).
thf(func_def_3,type,
bNF_Gr1069958334_V_V_V: set_Product_prod_V_V > ( product_prod_V_V > v ) > set_Pr1228022213_V_V_V ).
thf(func_def_4,type,
bNF_Gr_V_V: set_V2 > ( v2 > v ) > set_Product_prod_V_V2 ).
thf(func_def_5,type,
bNF_Gr_V_V2: set_V > ( v > v ) > set_Product_prod_V_V ).
thf(func_def_6,type,
comp_V1480932210od_V_V: ( v > produc1699571228od_V_V ) > ( produc1699571228od_V_V > v ) > produc1699571228od_V_V > produc1699571228od_V_V ).
thf(func_def_7,type,
comp_V772749048od_V_V: ( v > product_prod_V_V ) > ( product_prod_V_V > v ) > product_prod_V_V > product_prod_V_V ).
thf(func_def_8,type,
comp_V_V_V: ( v > v2 ) > ( v2 > v ) > v2 > v2 ).
thf(func_def_9,type,
comp_V_V_V2: ( v > v ) > ( v > v ) > v > v ).
thf(func_def_10,type,
standard_S_Bot_V: standard_Constant_V ).
thf(func_def_11,type,
standard_S_Const_V: v2 > standard_Constant_V ).
thf(func_def_12,type,
standard_S_Top_V: standard_Constant_V ).
thf(func_def_13,type,
getRel2057312683od_V_V: standard_Constant_V > labele201426742od_V_V > set_Pr2015814777od_V_V ).
thf(func_def_14,type,
getRel1902920892od_V_V: standard_Constant_V > labele236903175od_V_V > set_Pr2022779335od_V_V ).
thf(func_def_15,type,
getRel632961956nt_V_V: standard_Constant_V > labele788688367nt_V_V > set_Product_prod_V_V3 ).
thf(func_def_16,type,
getRel1432786916nt_V_V: standard_Constant_V > labele2115946735nt_V_V > set_Product_prod_V_V ).
thf(func_def_17,type,
semant993842370nt_V_V: labele2115946735nt_V_V > allego859987871tant_V > set_Product_prod_V_V ).
thf(func_def_18,type,
edge_p669293514tant_V: set_Pr257494450_V_V_V > set_Pr872354016od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_19,type,
edge_p1776314003tant_V: set_Pr1228022213_V_V_V > set_Pr951255342od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_20,type,
edge_p1322161019tant_V: set_Product_prod_V_V2 > set_Pr1498723630od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_21,type,
edge_p1560004099tant_V: set_Product_prod_V_V > set_Pr744279122od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_22,type,
graph_1541575154_nat_V: labele2128733290_V_nat > labele2115946735nt_V_V > set_Pr53436518_nat_V > $o ).
thf(func_def_23,type,
graph_227683057_nat_V: labele506073123_V_nat > labele2115946735nt_V_V > set_Pr1056235617_nat_V > $o ).
thf(func_def_24,type,
graph_840721237_V_V_V: labele236903175od_V_V > labele2115946735nt_V_V > set_Pr1228022213_V_V_V > $o ).
thf(func_def_25,type,
graph_1808119_V_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V > $o ).
thf(func_def_26,type,
graph_1141886696nt_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V ).
thf(func_def_27,type,
labele1193521135_V_nat: set_Pr1326571566_V_nat > set_Pr1058435079_V_nat > labele506073123_V_nat ).
thf(func_def_28,type,
labele94156371od_V_V: set_Pr951255342od_V_V > set_Product_prod_V_V > labele236903175od_V_V ).
thf(func_def_29,type,
labele712009229nt_V_V: set_Pr744279122od_V_V > set_V > labele2115946735nt_V_V ).
thf(func_def_30,type,
labele1794513953od_V_V: labele201426742od_V_V > set_Pr872354016od_V_V ).
thf(func_def_31,type,
labele668941254od_V_V: labele236903175od_V_V > set_Pr951255342od_V_V ).
thf(func_def_32,type,
labele1469545390nt_V_V: labele788688367nt_V_V > set_Pr1498723630od_V_V ).
thf(func_def_33,type,
labele515735386nt_V_V: labele2115946735nt_V_V > set_Pr744279122od_V_V ).
thf(func_def_34,type,
labele1328382418od_V_V: labele201426742od_V_V > set_Pr744279122od_V_V ).
thf(func_def_35,type,
labele1822884081_V_nat: labele506073123_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_36,type,
labele981584981od_V_V: labele236903175od_V_V > set_Product_prod_V_V ).
thf(func_def_37,type,
labele1152678333nt_V_V: labele788688367nt_V_V > set_V2 ).
thf(func_def_38,type,
labele1134902411nt_V_V: labele2115946735nt_V_V > set_V ).
thf(func_def_39,type,
map_gr157381846tant_V: set_Pr257494450_V_V_V > labele201426742od_V_V > labele2115946735nt_V_V ).
thf(func_def_40,type,
map_gr875022471tant_V: set_Pr1228022213_V_V_V > labele236903175od_V_V > labele2115946735nt_V_V ).
thf(func_def_41,type,
map_gr530397039tant_V: set_Product_prod_V_V2 > labele788688367nt_V_V > labele2115946735nt_V_V ).
thf(func_def_42,type,
map_gr907434255tant_V: set_Product_prod_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V ).
thf(func_def_43,type,
restri1699516426od_V_V: labele201426742od_V_V > labele201426742od_V_V ).
thf(func_def_44,type,
restri1932147897_V_nat: labele506073123_V_nat > labele506073123_V_nat ).
thf(func_def_45,type,
restri1502575645od_V_V: labele236903175od_V_V > labele236903175od_V_V ).
thf(func_def_46,type,
restri175070597nt_V_V: labele788688367nt_V_V > labele788688367nt_V_V ).
thf(func_def_47,type,
restri1305980611nt_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V ).
thf(func_def_48,type,
sup_su693515134od_V_V: set_Pr744279122od_V_V > set_Pr744279122od_V_V > set_Pr744279122od_V_V ).
thf(func_def_49,type,
sup_su1043134939_V_nat: set_Pr1058435079_V_nat > set_Pr1058435079_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_50,type,
sup_su551882943od_V_V: set_Product_prod_V_V > set_Product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_51,type,
sup_sup_set_V: set_V2 > set_V2 > set_V2 ).
thf(func_def_52,type,
sup_sup_set_V2: set_V > set_V > set_V ).
thf(func_def_53,type,
bot_bo2024487199_V_V_o: produc1699571228od_V_V > $o ).
thf(func_def_54,type,
bot_bo1078500394_nat_o: produc778275879_V_nat > $o ).
thf(func_def_55,type,
bot_bo1168561222_V_V_o: product_prod_V_V > $o ).
thf(func_def_56,type,
bot_bot_V_o: v2 > $o ).
thf(func_def_57,type,
bot_bot_V_o2: v > $o ).
thf(func_def_58,type,
bot_bo1053950006_V_nat: set_la14611914_V_nat ).
thf(func_def_59,type,
bot_bo634818242_V_nat: set_Pr1326571566_V_nat ).
thf(func_def_60,type,
bot_bo451843010od_V_V: set_Pr951255342od_V_V ).
thf(func_def_61,type,
bot_bo667804902od_V_V: set_Pr744279122od_V_V ).
thf(func_def_62,type,
bot_bo323535987at_nat: set_Pr361461255at_nat ).
thf(func_def_63,type,
bot_bo1196823539_V_nat: set_Pr597600647_V_nat ).
thf(func_def_64,type,
bot_bo907687539_V_nat: set_Pr1058435079_V_nat ).
thf(func_def_65,type,
bot_bo1834032757_V_nat: set_Pr473545225_V_nat ).
thf(func_def_66,type,
bot_bo2057106227_V_nat: set_Pr1007924423_V_nat ).
thf(func_def_67,type,
bot_bo1708783349_nat_V: set_Pr1056235617_nat_V ).
thf(func_def_68,type,
bot_bo12878899od_V_V: set_Pr2022779335od_V_V ).
thf(func_def_69,type,
bot_bo688400985_V_V_V: set_Pr1228022213_V_V_V ).
thf(func_def_70,type,
bot_bo1389414743od_V_V: set_Product_prod_V_V ).
thf(func_def_71,type,
bot_bot_set_V: set_V2 ).
thf(func_def_72,type,
bot_bot_set_V2: set_V ).
thf(func_def_73,type,
produc2132932316od_V_V: standard_Constant_V > produc1082089497od_V_V > produc1269720746od_V_V ).
thf(func_def_74,type,
produc1482441770od_V_V: standard_Constant_V > produc522115815od_V_V > produc1443401592od_V_V ).
thf(func_def_75,type,
produc1171747370od_V_V: standard_Constant_V > product_prod_V_V2 > produc1113554040od_V_V ).
thf(func_def_76,type,
produc107991630od_V_V: standard_Constant_V > product_prod_V_V > produc1699571228od_V_V ).
thf(func_def_77,type,
produc698429463_V_nat: labele2128733290_V_nat > labele2128733290_V_nat > produc778275879_V_nat ).
thf(func_def_78,type,
produc533118295nt_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > produc651414759nt_V_V ).
thf(func_def_79,type,
produc1736057425od_V_V: produc1699571228od_V_V > produc1699571228od_V_V > produc1082089497od_V_V ).
thf(func_def_80,type,
produc1905750615od_V_V: product_prod_V_V > product_prod_V_V > produc522115815od_V_V ).
thf(func_def_81,type,
product_Pair_V_V: v2 > v2 > product_prod_V_V2 ).
thf(func_def_82,type,
product_Pair_V_V2: v > v > product_prod_V_V ).
thf(func_def_83,type,
id_on_1882925319_V_nat: set_la14611914_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_84,type,
id_on_1491482303od_V_V: set_Pr744279122od_V_V > set_Pr2015814777od_V_V ).
thf(func_def_85,type,
id_on_558037444_V_nat: set_Pr1058435079_V_nat > set_Pr1007924423_V_nat ).
thf(func_def_86,type,
id_on_2125509800od_V_V: set_Product_prod_V_V > set_Pr2022779335od_V_V ).
thf(func_def_87,type,
id_on_V: set_V2 > set_Product_prod_V_V3 ).
thf(func_def_88,type,
id_on_V2: set_V > set_Product_prod_V_V ).
thf(func_def_89,type,
conseq1236301781_nat_V: set_Pr1058435079_V_nat > labele2115946735nt_V_V > $o ).
thf(func_def_90,type,
extens1072773157_nat_V: produc778275879_V_nat > labele2115946735nt_V_V > set_Pr53436518_nat_V > $o ).
thf(func_def_91,type,
extens1533825066_V_V_V: produc651414759nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V > $o ).
thf(func_def_92,type,
mainta1342478555od_V_V: produc778275879_V_nat > labele201426742od_V_V > $o ).
thf(func_def_93,type,
mainta922614952_V_nat: produc778275879_V_nat > labele506073123_V_nat > $o ).
thf(func_def_94,type,
mainta1984786828od_V_V: produc778275879_V_nat > labele236903175od_V_V > $o ).
thf(func_def_95,type,
mainta1026355316_nat_V: produc778275879_V_nat > labele788688367nt_V_V > $o ).
thf(func_def_96,type,
mainta197426964_nat_V: produc778275879_V_nat > labele2115946735nt_V_V > $o ).
thf(func_def_97,type,
mainta1699210777_V_V_V: produc651414759nt_V_V > labele2115946735nt_V_V > $o ).
thf(func_def_98,type,
collec1840263537od_V_V: ( produc1699571228od_V_V > $o ) > set_Pr744279122od_V_V ).
thf(func_def_99,type,
collec1411521682_V_nat: ( produc778275879_V_nat > $o ) > set_Pr1058435079_V_nat ).
thf(func_def_100,type,
collec2040633974od_V_V: ( product_prod_V_V > $o ) > set_Product_prod_V_V ).
thf(func_def_101,type,
collect_V: ( v2 > $o ) > set_V2 ).
thf(func_def_102,type,
collect_V2: ( v > $o ) > set_V ).
thf(func_def_103,type,
insert1818834324tant_V: standard_Constant_V > set_St1111633946tant_V > set_St1111633946tant_V ).
thf(func_def_104,type,
insert213439034_V_nat: labele2128733290_V_nat > set_la14611914_V_nat > set_la14611914_V_nat ).
thf(func_def_105,type,
insert135842892od_V_V: produc1699571228od_V_V > set_Pr744279122od_V_V > set_Pr744279122od_V_V ).
thf(func_def_106,type,
insert481364471_V_nat: produc778275879_V_nat > set_Pr1058435079_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_107,type,
insert2024285275od_V_V: product_prod_V_V > set_Product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_108,type,
insert_V: v2 > set_V2 > set_V2 ).
thf(func_def_109,type,
insert_V2: v > set_V > set_V ).
thf(func_def_110,type,
standa434642387_V_nat: set_Pr1058435079_V_nat > set_Pr361461255at_nat ).
thf(func_def_111,type,
standa1571708471od_V_V: set_Product_prod_V_V > set_Pr597600647_V_nat ).
thf(func_def_112,type,
standa1897115807ules_V: set_V2 > set_Pr1058435079_V_nat ).
thf(func_def_113,type,
standa294833961ules_V: set_V > set_Pr473545225_V_nat ).
thf(func_def_114,type,
standa1568205529ules_V: set_St1111633946tant_V > set_Pr1058435079_V_nat ).
thf(func_def_115,type,
standa1319953089tant_V: produc778275879_V_nat ).
thf(func_def_116,type,
standa157301464ules_V: set_V2 > set_St1111633946tant_V > set_Pr1058435079_V_nat ).
thf(func_def_117,type,
standa214871990tant_V: standard_Constant_V > produc778275879_V_nat ).
thf(func_def_118,type,
member1542015739tant_V: standard_Constant_V > set_St1111633946tant_V > $o ).
thf(func_def_119,type,
member600445121od_V_V: produc1269720746od_V_V > set_Pr872354016od_V_V > $o ).
thf(func_def_120,type,
member361435663od_V_V: produc1443401592od_V_V > set_Pr951255342od_V_V > $o ).
thf(func_def_121,type,
member1416643087od_V_V: produc1113554040od_V_V > set_Pr1498723630od_V_V > $o ).
thf(func_def_122,type,
member1010391347od_V_V: produc1699571228od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_123,type,
member1886821968_V_nat: produc778275879_V_nat > set_Pr1058435079_V_nat > $o ).
thf(func_def_124,type,
member785416642od_V_V: produc1082089497od_V_V > set_Pr2015814777od_V_V > $o ).
thf(func_def_125,type,
member134497296od_V_V: produc522115815od_V_V > set_Pr2022779335od_V_V > $o ).
thf(func_def_126,type,
member1990987792od_V_V: product_prod_V_V2 > set_Product_prod_V_V3 > $o ).
thf(func_def_127,type,
member2015049524od_V_V: product_prod_V_V > set_Product_prod_V_V > $o ).
thf(func_def_128,type,
member_V: v2 > set_V2 > $o ).
thf(func_def_129,type,
member_V2: v > set_V > $o ).
thf(func_def_130,type,
c: set_V2 ).
thf(func_def_131,type,
g: labele2115946735nt_V_V ).
thf(func_def_132,type,
l: set_St1111633946tant_V ).
thf(func_def_133,type,
h: v > v ).
thf(func_def_134,type,
m: v2 > v ).
thf(func_def_135,type,
x: v ).
thf(func_def_136,type,
xa: v2 ).
thf(func_def_137,type,
y: v2 ).
thf(func_def_139,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_140,type,
vAND: $o > $o > $o ).
thf(func_def_143,type,
vIMP: $o > $o > $o ).
thf(func_def_144,type,
vNOT: $o > $o ).
thf(func_def_145,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_146,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_148,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_149,type,
vOR: $o > $o > $o ).
thf(func_def_150,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_151,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_152,type,
sK0: v2 > v ).
thf(func_def_153,type,
sK1: ( product_prod_V_V > $o ) > v ).
thf(func_def_154,type,
sK2: ( product_prod_V_V > $o ) > v ).
thf(func_def_155,type,
sK3: v ).
thf(func_def_156,type,
sK4: product_prod_V_V > v ).
thf(func_def_157,type,
sK5: product_prod_V_V > v ).
thf(func_def_158,type,
sK6: ( product_prod_V_V > $o ) > v ).
thf(func_def_159,type,
sK7: ( product_prod_V_V > $o ) > v ).
thf(func_def_160,type,
sK8: v2 > v ).
thf(func_def_161,type,
sK9: v2 > v ).
thf(func_def_162,type,
sK10: v2 > v ).
thf(func_def_163,type,
sK11: set_Product_prod_V_V > product_prod_V_V ).
thf(func_def_164,type,
sK12: product_prod_V_V > v ).
thf(func_def_165,type,
sK13: product_prod_V_V > v ).
thf(f7,axiom,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062) ).
thf(f9,axiom,
graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_h_I3_J) ).
thf(f39,axiom,
! [X1: v,X4: labele2115946735nt_V_V,X0: v,X3: labele2115946735nt_V_V,X2: standard_Constant_V] :
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X3 ) )
=> ( ( graph_1808119_V_V_V @ X3 @ X4 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) )
=> ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_getRel__subgraph) ).
thf(f356,conjecture,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f446,plain,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ),
inference(rectify,[],[f7]) ).
thf(f447,plain,
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) )
= $true ),
inference(fool_elimination,[],[f446]) ).
thf(f516,plain,
! [X0: v,X1: labele2115946735nt_V_V,X2: v,X3: labele2115946735nt_V_V,X4: standard_Constant_V] :
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X0 ) @ ( getRel1432786916nt_V_V @ X4 @ X3 ) )
=> ( ( graph_1808119_V_V_V @ X3 @ X1 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) )
=> ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X0 ) @ ( getRel1432786916nt_V_V @ X4 @ X1 ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f517,plain,
! [X1: labele2115946735nt_V_V,X0: v,X3: labele2115946735nt_V_V,X2: v,X4: standard_Constant_V] :
( ( $true
= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X0 ) @ ( getRel1432786916nt_V_V @ X4 @ X3 ) ) )
=> ( ( $true
= ( graph_1808119_V_V_V @ X3 @ X1 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) ) )
=> ( $true
= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X0 ) @ ( getRel1432786916nt_V_V @ X4 @ X1 ) ) ) ) ),
inference(fool_elimination,[],[f516]) ).
thf(f554,plain,
~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
inference(rectify,[],[f357]) ).
thf(f555,plain,
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) )
!= $true ),
inference(fool_elimination,[],[f554]) ).
thf(f643,plain,
graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ),
inference(rectify,[],[f9]) ).
thf(f644,plain,
( ( graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) )
= $true ),
inference(fool_elimination,[],[f643]) ).
thf(f866,plain,
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) )
!= $true ),
inference(flattening,[],[f555]) ).
thf(f888,plain,
! [X1: labele2115946735nt_V_V,X0: v,X3: labele2115946735nt_V_V,X2: v,X4: standard_Constant_V] :
( ( $true
= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X0 ) @ ( getRel1432786916nt_V_V @ X4 @ X1 ) ) )
| ( $true
!= ( graph_1808119_V_V_V @ X3 @ X1 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) ) )
| ( $true
!= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X0 ) @ ( getRel1432786916nt_V_V @ X4 @ X3 ) ) ) ),
inference(ennf_transformation,[],[f517]) ).
thf(f889,plain,
! [X1: labele2115946735nt_V_V,X0: v,X4: standard_Constant_V,X3: labele2115946735nt_V_V,X2: v] :
( ( $true
= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X0 ) @ ( getRel1432786916nt_V_V @ X4 @ X1 ) ) )
| ( $true
!= ( graph_1808119_V_V_V @ X3 @ X1 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) ) )
| ( $true
!= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X0 ) @ ( getRel1432786916nt_V_V @ X4 @ X3 ) ) ) ),
inference(flattening,[],[f888]) ).
thf(f918,plain,
! [X0: labele2115946735nt_V_V,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: v] :
( ( $true
= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X4 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X0 ) ) )
| ( $true
!= ( graph_1808119_V_V_V @ X3 @ X0 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) ) )
| ( $true
!= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X4 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f889]) ).
thf(f939,plain,
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) )
= $true ),
inference(cnf_transformation,[],[f447]) ).
thf(f942,plain,
( ( graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) )
= $true ),
inference(cnf_transformation,[],[f644]) ).
thf(f944,plain,
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) )
!= $true ),
inference(cnf_transformation,[],[f866]) ).
thf(f952,plain,
! [X2: standard_Constant_V,X3: labele2115946735nt_V_V,X0: labele2115946735nt_V_V,X1: v,X4: v] :
( ( $true
= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X4 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X0 ) ) )
| ( $true
!= ( graph_1808119_V_V_V @ X3 @ X0 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) ) )
| ( $true
!= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X4 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X3 ) ) ) ),
inference(cnf_transformation,[],[f918]) ).
thf(f962,plain,
! [X0: labele2115946735nt_V_V] :
( ( $true
!= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( graph_1808119_V_V_V @ X0 @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X0 ) ) ) ) ),
inference(superposition,[],[f944,f952]) ).
thf(f965,plain,
! [X0: labele2115946735nt_V_V] :
( ( $true
!= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ X0 ) ) )
| ( $true
!= ( graph_1808119_V_V_V @ X0 @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f962]) ).
thf(f975,plain,
( ( ( graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f965,f939]) ).
thf(f982,plain,
( ( graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) )
!= $true ),
inference(trivial_inequality_removal,[],[f975]) ).
thf(f984,plain,
$false,
inference(forward_subsumption_resolution,[],[f982,f942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP180^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n014.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 20:06:45 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.27 Running higher-order theorem proving
% 0.27/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/0.56 % (3152551)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.90/0.56 % (3152559)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3019870314:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.90/0.56 % (3152565)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.90/0.56 % (3152565)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.90/0.56 % (3152560)lrs+10_16_si=on:nwc=1.5:random_seed=1427951617:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.90/0.56 % (3152561)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2965264086:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.90/0.56 % (3152563)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=685256713:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.90/0.56 % (3152562)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2494442414:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.90/0.56 % (3152564)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=870247870:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.90/0.56 % (3152565)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=899087740:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.90/0.56 % (3152561)Instruction limit reached!
% 0.90/0.56 % (3152561)------------------------------
% 0.90/0.56 % (3152561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.56 % (3152561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.56 % (3152561)CaDiCaL version: 2.1.3
% 0.90/0.56 % (3152561)Termination reason: Instruction limit
% 0.90/0.56 % (3152561)Termination phase: shuffling
% 0.90/0.56 % (3152561)Time elapsed: 0.003 s
% 0.90/0.56 % (3152561)Peak memory usage: 10 MB
% 0.90/0.56 % (3152561)Instructions burned: 3 (million)
% 0.90/0.56 % (3152560)Instruction limit reached!
% 0.90/0.56 % (3152560)------------------------------
% 0.90/0.56 % (3152560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.56 % (3152560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.56 % (3152560)CaDiCaL version: 2.1.3
% 0.90/0.56 % (3152560)Termination reason: Instruction limit
% 0.90/0.56 % (3152560)Termination phase: shuffling
% 0.90/0.56 % (3152560)Time elapsed: 0.015 s
% 0.90/0.56 % (3152560)Peak memory usage: 10 MB
% 0.90/0.56 % (3152560)Instructions burned: 18 (million)
% 0.90/0.56 % (3152563)Instruction limit reached!
% 0.90/0.56 % (3152563)------------------------------
% 0.90/0.56 % (3152563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.56 % (3152563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.56 % (3152563)CaDiCaL version: 2.1.3
% 0.90/0.56 % (3152563)Termination reason: Instruction limit
% 0.90/0.56 % (3152563)Termination phase: Property scanning
% 0.90/0.56 % (3152563)Time elapsed: 0.020 s
% 0.90/0.56 % (3152563)Peak memory usage: 11 MB
% 0.90/0.56 % (3152563)Instructions burned: 24 (million)
% 0.90/0.56 % (3152573)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2042798824:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.90/0.56 % (3152573)Instruction limit reached!
% 0.90/0.56 % (3152573)------------------------------
% 0.90/0.56 % (3152573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.56 % (3152573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.56 % (3152573)CaDiCaL version: 2.1.3
% 0.90/0.56 % (3152573)Termination reason: Instruction limit
% 0.90/0.56 % (3152573)Termination phase: shuffling
% 0.90/0.56 % (3152573)Time elapsed: 0.001 s
% 0.90/0.56 % (3152573)Peak memory usage: 10 MB
% 0.90/0.56 % (3152573)Instructions burned: 2 (million)
% 0.90/0.56 % (3152574)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3641367712:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.90/0.58 % (3152574)Instruction limit reached!
% 0.90/0.58 % (3152574)------------------------------
% 0.90/0.58 % (3152574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152574)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152574)Termination reason: Instruction limit
% 0.90/0.58 % (3152574)Termination phase: shuffling
% 0.90/0.58 % (3152574)Time elapsed: 0.004 s
% 0.90/0.58 % (3152574)Peak memory usage: 10 MB
% 0.90/0.58 % (3152574)Instructions burned: 6 (million)
% 0.90/0.58 % (3152578)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1668655577:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.90/0.58 % (3152576)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.58 % (3152578)Instruction limit reached!
% 0.90/0.58 % (3152578)------------------------------
% 0.90/0.58 % (3152578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152578)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152578)Termination reason: Instruction limit
% 0.90/0.58 % (3152578)Termination phase: shuffling
% 0.90/0.58 % (3152578)Time elapsed: 0.006 s
% 0.90/0.58 % (3152578)Peak memory usage: 10 MB
% 0.90/0.58 % (3152578)Instructions burned: 13 (million)
% 0.90/0.58 % (3152559)Instruction limit reached!
% 0.90/0.58 % (3152559)------------------------------
% 0.90/0.58 % (3152559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152559)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152559)Termination reason: Instruction limit
% 0.90/0.58 % (3152559)Termination phase: Function definition elimination
% 0.90/0.58 % (3152559)Time elapsed: 0.065 s
% 0.90/0.58 % (3152559)Peak memory usage: 12 MB
% 0.90/0.58 % (3152559)Instructions burned: 88 (million)
% 0.90/0.58 % (3152576)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1720244901:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.90/0.58 % (3152581)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.90/0.58 % (3152581)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.58 % (3152576)Instruction limit reached!
% 0.90/0.58 % (3152576)------------------------------
% 0.90/0.58 % (3152576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152576)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152576)Termination reason: Instruction limit
% 0.90/0.58 % (3152576)Termination phase: shuffling
% 0.90/0.58 % (3152576)Time elapsed: 0.007 s
% 0.90/0.58 % (3152576)Peak memory usage: 10 MB
% 0.90/0.58 % (3152576)Instructions burned: 7 (million)
% 0.90/0.58 % (3152581)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4041641104:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.90/0.58 % (3152564)Instruction limit reached!
% 0.90/0.58 % (3152564)------------------------------
% 0.90/0.58 % (3152564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152564)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152564)Termination reason: Instruction limit
% 0.90/0.58 % (3152564)Termination phase: Property scanning
% 0.90/0.58 % (3152564)Time elapsed: 0.066 s
% 0.90/0.58 % (3152564)Peak memory usage: 12 MB
% 0.90/0.58 % (3152564)Instructions burned: 76 (million)
% 0.90/0.58 % (3152583)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2876286976:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.90/0.58 % (3152581)Instruction limit reached!
% 0.90/0.58 % (3152581)------------------------------
% 0.90/0.58 % (3152581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152581)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152581)Termination reason: Instruction limit
% 0.90/0.58 % (3152581)Termination phase: shuffling
% 0.90/0.58 % (3152581)Time elapsed: 0.015 s
% 0.90/0.58 % (3152581)Peak memory usage: 11 MB
% 0.90/0.58 % (3152581)Instructions burned: 29 (million)
% 0.90/0.58 % (3152586)lrs+10_1_si=on:cs=on:random_seed=3752206985:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.90/0.58 % (3152587)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.90/0.58 % (3152587)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2130232475:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.90/0.58 % (3152586)Instruction limit reached!
% 0.90/0.58 % (3152586)------------------------------
% 0.90/0.58 % (3152586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152586)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152586)Termination reason: Instruction limit
% 0.90/0.58 % (3152586)Termination phase: shuffling
% 0.90/0.58 % (3152586)Time elapsed: 0.008 s
% 0.90/0.58 % (3152586)Peak memory usage: 10 MB
% 0.90/0.58 % (3152586)Instructions burned: 8 (million)
% 0.90/0.58 % (3152587)Instruction limit reached!
% 0.90/0.58 % (3152587)------------------------------
% 0.90/0.58 % (3152587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152587)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152587)Termination reason: Instruction limit
% 0.90/0.58 % (3152587)Termination phase: shuffling
% 0.90/0.58 % (3152587)Time elapsed: 0.003 s
% 0.90/0.58 % (3152587)Peak memory usage: 10 MB
% 0.90/0.58 % (3152587)Instructions burned: 2 (million)
% 0.90/0.58 % (3152590)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3461332401:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.90/0.58 % (3152592)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=82075144:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.90/0.58 % (3152583)Instruction limit reached!
% 0.90/0.58 % (3152583)------------------------------
% 0.90/0.58 % (3152583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152583)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152583)Termination reason: Instruction limit
% 0.90/0.58 % (3152583)Termination phase: Property scanning
% 0.90/0.58 % (3152583)Time elapsed: 0.037 s
% 0.90/0.58 % (3152583)Peak memory usage: 11 MB
% 0.90/0.58 % (3152583)Instructions burned: 88 (million)
% 0.90/0.58 % (3152596)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1251600905:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.58 % (3152600)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1485196488:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.90/0.58 % (3152590)Instruction limit reached!
% 0.90/0.58 % (3152590)------------------------------
% 0.90/0.58 % (3152590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152590)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152590)Termination reason: Instruction limit
% 0.90/0.58 % (3152590)Termination phase: SInE selection
% 0.90/0.58 % (3152590)Time elapsed: 0.032 s
% 0.90/0.58 % (3152590)Peak memory usage: 11 MB
% 0.90/0.58 % (3152590)Instructions burned: 38 (million)
% 0.90/0.58 % (3152595)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1712565585:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.90/0.58 % (3152565)Instruction limit reached!
% 0.90/0.58 % (3152565)------------------------------
% 0.90/0.58 % (3152565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152565)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152565)Termination reason: Instruction limit
% 0.90/0.58 % (3152565)Termination phase: Saturation
% 0.90/0.58 % (3152565)Time elapsed: 0.136 s
% 0.90/0.58 % (3152565)Peak memory usage: 14 MB
% 0.90/0.58 % (3152565)Instructions burned: 157 (million)
% 0.90/0.58 % (3152596)Instruction limit reached!
% 0.90/0.58 % (3152596)------------------------------
% 0.90/0.58 % (3152596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152596)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152596)Termination reason: Instruction limit
% 0.90/0.58 % (3152596)Termination phase: shuffling
% 0.90/0.58 % (3152596)Time elapsed: 0.012 s
% 0.90/0.58 % (3152596)Peak memory usage: 10 MB
% 0.90/0.58 % (3152596)Instructions burned: 14 (million)
% 0.90/0.58 % (3152592) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3152551-3152592"...
% 0.90/0.58 % (3152562) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3152551-3152562"...
% 0.90/0.58 % (3152604)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=284882111:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 0.90/0.58 % (3152592)...printing done.
% 0.90/0.58 % (3152592)Refutation found. Thanks to Tanya!
% 0.90/0.58 % SZS status Theorem for theBenchmark
% 0.90/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.58 % (3152592)------------------------------
% 0.90/0.58 % (3152592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3152592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3152592)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3152592)Termination reason: Refutation
% 0.90/0.58 % (3152592)Time elapsed: 0.048 s
% 0.90/0.58 % (3152592)Peak memory usage: 13 MB
% 0.90/0.58 % (3152592)Instructions burned: 63 (million)
% 0.90/0.58 % (3152551)Success in time 0.226 s
% 0.90/0.59 % Vampire exiting
%------------------------------------------------------------------------------