%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP180^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 08:11:00 AM UTC 2026
% Result : Theorem 49.38s 7.28s
% Output : Refutation 49.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 27 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 369 ( 15 ~; 10 |; 0 &; 338 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 44 ( 43 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 279 ( 276 usr; 27 con; 0-4 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% 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_141,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_142,type,
vAND: $o > $o > $o ).
thf(func_def_143,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_144,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_145,type,
vNOT: $o > $o ).
thf(func_def_146,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_149,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_150,type,
vOR: $o > $o > $o ).
thf(func_def_151,type,
vIMP: $o > $o > $o ).
thf(func_def_152,type,
sK0: v ).
thf(func_def_153,type,
sK1: v2 > v ).
thf(func_def_154,type,
sK2: v2 > v ).
thf(func_def_155,type,
sK3: v2 > v ).
thf(func_def_156,type,
sK4: v2 > v ).
thf(func_def_157,type,
sK5: product_prod_V_V > v ).
thf(func_def_158,type,
sK6: product_prod_V_V > v ).
thf(func_def_159,type,
sK7: produc1699571228od_V_V > standard_Constant_V ).
thf(func_def_160,type,
sK8: produc1699571228od_V_V > product_prod_V_V ).
thf(func_def_161,type,
sK9: ( product_prod_V_V > $o ) > v ).
thf(func_def_162,type,
sK10: ( product_prod_V_V > $o ) > v ).
thf(func_def_163,type,
sK11: ( produc1699571228od_V_V > $o ) > standard_Constant_V ).
thf(func_def_164,type,
sK12: ( produc1699571228od_V_V > $o ) > product_prod_V_V ).
thf(func_def_165,type,
sK13: product_prod_V_V > v ).
thf(func_def_166,type,
sK14: product_prod_V_V > v ).
thf(func_def_167,type,
sK15: produc1699571228od_V_V > standard_Constant_V ).
thf(func_def_168,type,
sK16: produc1699571228od_V_V > product_prod_V_V ).
thf(func_def_169,type,
sK17: ( produc1699571228od_V_V > $o ) > standard_Constant_V ).
thf(func_def_170,type,
sK18: ( produc1699571228od_V_V > $o ) > v ).
thf(func_def_171,type,
sK19: ( produc1699571228od_V_V > $o ) > v ).
thf(func_def_172,type,
sK20: produc1699571228od_V_V > standard_Constant_V ).
thf(func_def_173,type,
sK21: produc1699571228od_V_V > v ).
thf(func_def_174,type,
sK22: produc1699571228od_V_V > v ).
thf(func_def_175,type,
sK23: ( product_prod_V_V > $o ) > v ).
thf(func_def_176,type,
sK24: ( product_prod_V_V > $o ) > v ).
thf(func_def_177,type,
sK25: ( produc1699571228od_V_V > $o ) > standard_Constant_V ).
thf(func_def_178,type,
sK26: ( produc1699571228od_V_V > $o ) > product_prod_V_V ).
thf(func_def_179,type,
sK27: ( product_prod_V_V > v ) > ( v > product_prod_V_V ) > labele236903175od_V_V > product_prod_V_V ).
thf(func_def_180,type,
sK28: ( v2 > v ) > ( v > v2 ) > labele788688367nt_V_V > v2 ).
thf(func_def_181,type,
sK29: ( produc1699571228od_V_V > v ) > ( v > produc1699571228od_V_V ) > labele201426742od_V_V > produc1699571228od_V_V ).
thf(func_def_182,type,
sK30: ( v > v ) > ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_183,type,
sK31: ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_184,type,
sK32: set_Product_prod_V_V > produc522115815od_V_V > product_prod_V_V ).
thf(func_def_185,type,
sK33: set_V2 > product_prod_V_V2 > v2 ).
thf(func_def_186,type,
sK34: set_Pr744279122od_V_V > produc1082089497od_V_V > produc1699571228od_V_V ).
thf(func_def_187,type,
sK35: set_V > product_prod_V_V > v ).
thf(func_def_188,type,
sK36: ( v > v ) > ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_189,type,
sK37: set_V2 > v2 ).
thf(func_def_190,type,
sK38: set_Pr744279122od_V_V > produc1699571228od_V_V ).
thf(func_def_191,type,
sK39: set_Product_prod_V_V > product_prod_V_V ).
thf(func_def_192,type,
sK40: set_V > v ).
thf(func_def_193,type,
sK41: set_Pr1058435079_V_nat > produc778275879_V_nat ).
thf(func_def_194,type,
sK42: set_Pr744279122od_V_V > ( product_prod_V_V > v ) > labele236903175od_V_V > standard_Constant_V ).
thf(func_def_195,type,
sK43: set_Pr744279122od_V_V > ( product_prod_V_V > v ) > labele236903175od_V_V > product_prod_V_V ).
thf(func_def_196,type,
sK44: set_Pr744279122od_V_V > ( product_prod_V_V > v ) > labele236903175od_V_V > product_prod_V_V ).
thf(func_def_197,type,
sK45: set_Pr744279122od_V_V > ( v2 > v ) > labele788688367nt_V_V > standard_Constant_V ).
thf(func_def_198,type,
sK46: set_Pr744279122od_V_V > ( v2 > v ) > labele788688367nt_V_V > v2 ).
thf(func_def_199,type,
sK47: set_Pr744279122od_V_V > ( v2 > v ) > labele788688367nt_V_V > v2 ).
thf(func_def_200,type,
sK48: set_Pr744279122od_V_V > ( produc1699571228od_V_V > v ) > labele201426742od_V_V > standard_Constant_V ).
thf(func_def_201,type,
sK49: set_Pr744279122od_V_V > ( produc1699571228od_V_V > v ) > labele201426742od_V_V > produc1699571228od_V_V ).
thf(func_def_202,type,
sK50: set_Pr744279122od_V_V > ( produc1699571228od_V_V > v ) > labele201426742od_V_V > produc1699571228od_V_V ).
thf(func_def_203,type,
sK51: set_Pr744279122od_V_V > ( v > v ) > labele2115946735nt_V_V > standard_Constant_V ).
thf(func_def_204,type,
sK52: set_Pr744279122od_V_V > ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_205,type,
sK53: set_Pr744279122od_V_V > ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_206,type,
sK54: labele2128733290_V_nat > labele2115946735nt_V_V > labele2128733290_V_nat > set_Pr53436518_nat_V ).
thf(func_def_207,type,
sK55: labele2115946735nt_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V ).
thf(func_def_208,type,
sK56: set_Pr1058435079_V_nat > produc778275879_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_209,type,
sK57: set_Product_prod_V_V > product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_210,type,
sK58: set_V > v > set_V ).
thf(func_def_211,type,
sK59: set_V2 > v2 > set_V2 ).
thf(func_def_212,type,
sK60: set_Pr744279122od_V_V > produc1699571228od_V_V > set_Pr744279122od_V_V ).
thf(func_def_213,type,
sK61: set_Pr1058435079_V_nat > produc778275879_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_214,type,
sK62: set_Product_prod_V_V > product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_215,type,
sK63: set_V > v > set_V ).
thf(func_def_216,type,
sK64: set_V2 > v2 > set_V2 ).
thf(func_def_217,type,
sK65: set_Pr744279122od_V_V > produc1699571228od_V_V > set_Pr744279122od_V_V ).
thf(func_def_218,type,
sK66: set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_219,type,
sK67: set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_220,type,
sK68: set_Pr1058435079_V_nat > set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_221,type,
sK69: set_Pr1058435079_V_nat > set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_222,type,
sK70: set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_223,type,
sK71: set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_224,type,
sK72: set_Pr744279122od_V_V > produc1699571228od_V_V > set_Pr744279122od_V_V > produc1699571228od_V_V > set_Pr744279122od_V_V ).
thf(func_def_225,type,
sK73: set_V2 > v2 > set_V2 > v2 > set_V2 ).
thf(func_def_226,type,
sK74: set_V > v > set_V > v > set_V ).
thf(func_def_227,type,
sK75: set_Product_prod_V_V > product_prod_V_V > set_Product_prod_V_V > product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_228,type,
sK76: set_Pr1058435079_V_nat > produc778275879_V_nat > set_Pr1058435079_V_nat > produc778275879_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_229,type,
sK77: set_Pr1058435079_V_nat > produc778275879_V_nat ).
thf(func_def_230,type,
sK78: set_V > v ).
thf(func_def_231,type,
sK79: set_Product_prod_V_V > product_prod_V_V ).
thf(func_def_232,type,
sK80: set_Pr744279122od_V_V > produc1699571228od_V_V ).
thf(func_def_233,type,
sK81: set_V2 > v2 ).
thf(func_def_234,type,
sK82: set_Pr1058435079_V_nat > produc778275879_V_nat ).
thf(func_def_235,type,
sK83: set_V > v ).
thf(func_def_236,type,
sK84: set_Product_prod_V_V > product_prod_V_V ).
thf(func_def_237,type,
sK85: set_Pr744279122od_V_V > produc1699571228od_V_V ).
thf(func_def_238,type,
sK86: set_V2 > v2 ).
thf(func_def_239,type,
sK87: ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_240,type,
sK88: ( v > $o ) > v ).
thf(func_def_241,type,
sK89: ( product_prod_V_V > $o ) > product_prod_V_V ).
thf(func_def_242,type,
sK90: ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_243,type,
sK91: ( v > $o ) > v ).
thf(func_def_244,type,
sK92: ( product_prod_V_V > $o ) > product_prod_V_V ).
thf(func_def_246,type,
sK94: ( v > v ) > ( v > v ) > v ).
thf(func_def_247,type,
sK95: ( v > v ) > ( v > v ) > v ).
thf(func_def_248,type,
sK96: ( v > v2 ) > ( v > v ) > ( v > v ) > v ).
thf(func_def_249,type,
sK97: ( v > v ) > ( v > v ) > v ).
thf(func_def_250,type,
sK98: ( v > v ) > ( v > v ) > v ).
thf(func_def_251,type,
sK99: ( v > v ) > ( v > v ) > v ).
thf(func_def_252,type,
sK100: ( v > v ) > ( v > v ) > v ).
thf(func_def_253,type,
sK101: ( v > v ) > ( v > v ) > v ).
thf(func_def_254,type,
sK102: ( v > v ) > ( v > v ) > ( v > set_V ) > v ).
thf(func_def_255,type,
sK103: ( v > v ) > ( v > v ) > ( v > product_prod_V_V ) > v ).
thf(func_def_256,type,
sK104: ( v > v ) > ( v > v ) > ( v > product_prod_V_V ) > v ).
thf(func_def_257,type,
sK105: ( v > v ) > ( v > v ) > ( v > product_prod_V_V ) > v ).
thf(func_def_258,type,
sK106: ( v > v ) > ( v > v ) > ( v > product_prod_V_V ) > v ).
thf(func_def_259,type,
sK107: ( v > v ) > ( v > v ) > v ).
thf(func_def_260,type,
sK108: ( v > v ) > ( v > v ) > v ).
thf(func_def_261,type,
sK109: ( v > v ) > ( v > v ) > ( v > v ) > ( v > set_V ) > v ).
thf(func_def_262,type,
sK110: ( v > v ) > ( v > v ) > ( v > v ) > ( v > product_prod_V_V ) > v ).
thf(func_def_263,type,
sK111: ( v > v ) > ( v > v ) > ( v > v ) > ( v > product_prod_V_V ) > v ).
thf(func_def_264,type,
sK112: ( v > v ) > ( v > v ) > ( v > v ) > ( v > product_prod_V_V ) > v ).
thf(func_def_265,type,
sK113: ( v > v ) > ( v > v ) > ( v > v ) > ( v > product_prod_V_V ) > v ).
thf(func_def_266,type,
sK114: ( v > v ) > ( v > v ) > ( v > produc1699571228od_V_V ) > v ).
thf(func_def_267,type,
sK115: ( v > v ) > ( v > v ) > ( v > produc1699571228od_V_V ) > v ).
thf(func_def_268,type,
sK116: ( v > v ) > ( v > v ) > ( v > product_prod_V_V > $o ) > v ).
thf(func_def_269,type,
sK117: ( v > v ) > ( v > v ) > ( v > product_prod_V_V > $o ) > v ).
thf(func_def_270,type,
sK118: ( v > v ) > ( v > v ) > ( v > product_prod_V_V > $o ) > v ).
thf(func_def_271,type,
sK119: ( v > v ) > ( v > v ) > ( v > product_prod_V_V > $o ) > v ).
thf(func_def_272,type,
sK120: ( v > v ) > ( v > v ) > ( v > v ) > ( v > produc1699571228od_V_V ) > v ).
thf(func_def_273,type,
sK121: ( v > v ) > ( v > v ) > ( v > v ) > ( v > produc1699571228od_V_V ) > v ).
thf(func_def_274,type,
sK122: ( v > v ) > ( v > v ) > ( v > v ) > ( v > product_prod_V_V > $o ) > v ).
thf(func_def_275,type,
sK123: ( v > v ) > ( v > v ) > ( v > v ) > ( v > product_prod_V_V > $o ) > v ).
thf(func_def_276,type,
sK124: ( v > v ) > ( v > v ) > ( v > v ) > ( v > product_prod_V_V > $o ) > v ).
thf(func_def_277,type,
sK125: ( v > v ) > ( v > v ) > ( v > v ) > ( v > product_prod_V_V > $o ) > v ).
thf(func_def_278,type,
sK126: ( 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/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_8_h_I3_J) ).
thf(f39,axiom,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_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/sandbox/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/sandbox/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(f368,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(f369,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,[],[f368]) ).
thf(f370,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(f371,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,[],[f370]) ).
thf(f411,plain,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_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 ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f412,plain,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_V] :
( ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X3 ) )
= $true )
=> ( ( ( graph_1808119_V_V_V @ X3 @ X4 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) )
= $true )
=> ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X4 ) )
= $true ) ) ),
inference(fool_elimination,[],[f411]) ).
thf(f845,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(f846,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,[],[f845]) ).
thf(f900,plain,
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) )
!= $true ),
inference(flattening,[],[f846]) ).
thf(f929,plain,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_V] :
( ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X4 ) )
= $true )
| ( ( graph_1808119_V_V_V @ X3 @ X4 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) )
!= $true )
| ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X3 ) )
!= $true ) ),
inference(ennf_transformation,[],[f412]) ).
thf(f930,plain,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_V] :
( ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X4 ) )
= $true )
| ( ( graph_1808119_V_V_V @ X3 @ X4 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) )
!= $true )
| ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X3 ) )
!= $true ) ),
inference(flattening,[],[f929]) ).
thf(f1177,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,[],[f369]) ).
thf(f1179,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,[],[f371]) ).
thf(f1209,plain,
! [X2: standard_Constant_V,X3: labele2115946735nt_V_V,X0: v,X1: v,X4: labele2115946735nt_V_V] :
( ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X3 ) )
!= $true )
| ( ( graph_1808119_V_V_V @ X3 @ X4 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X3 ) ) )
!= $true )
| ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X0 @ X1 ) @ ( getRel1432786916nt_V_V @ X2 @ X4 ) )
= $true ) ),
inference(cnf_transformation,[],[f930]) ).
thf(f1574,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,[],[f900]) ).
thf(f5105,plain,
! [X0: labele2115946735nt_V_V] :
( ( $true != $true )
| ( $true
!= ( graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ X0 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) ) )
| ( $true
= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ X0 ) ) ) ),
inference(constrained_superposition,[],[f1209,f1177]) ).
thf(f5106,plain,
! [X0: labele2115946735nt_V_V] :
( ( $true
!= ( graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ X0 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) ) )
| ( $true
= ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f5105]) ).
thf(f73788,plain,
( ( $true != $true )
| ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) )
= $true ) ),
inference(constrained_superposition,[],[f5106,f1179]) ).
thf(f73837,plain,
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) )
= $true ),
inference(trivial_inequality_removal,[],[f73788]) ).
thf(f73839,plain,
$false,
inference(forward_subsumption_resolution,[],[f73837,f1574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP180^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:07:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.95/0.96 % (3340304)Will run a generic schedule for satisfiability detection.
% 3.95/0.96 % (3340313)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2005262400:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.95/0.96 % (3340310)% WARNING: option uhcvi not known.
% 3.95/0.96 % (3340309)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3502708149_2999 on theBenchmark for (2999ds/0Mi)
% 3.95/0.96 % (3340310)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2127757090:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.95/0.96 % (3340311)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2420538549:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.95/0.96 % (3340312)dis+10_1_sil=32000:sp=arity:random_seed=4227424046:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.95/0.96 % (3340314)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2812246471:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.95/0.96 % (3340315)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=40453411:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.95/0.96 % (3340313)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.95/0.96 % (3340310)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.95/0.96 % (3340313)Instruction limit reached!
% 3.95/0.96 % (3340313)------------------------------
% 3.95/0.96 % (3340313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.96 % (3340313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.96 % (3340313)CaDiCaL version: 2.1.3
% 3.95/0.96 % (3340313)Termination reason: Instruction limit
% 3.95/0.96 % (3340313)Termination phase: Saturation
% 3.95/0.96 % (3340313)Time elapsed: 0.027 s
% 3.95/0.96 % (3340313)Peak memory usage: 13 MB
% 3.95/0.96 % (3340313)Instructions burned: 118 (million)
% 3.95/0.96 % (3340323)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1461887228:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.95/0.96 % Exception at run slice level
% 3.95/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.95/0.96 % (3340310)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.95/0.96 % (3340312)Instruction limit reached!
% 3.95/0.96 % (3340312)------------------------------
% 3.95/0.96 % (3340312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.96 % (3340312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.96 % (3340312)CaDiCaL version: 2.1.3
% 3.95/0.96 % (3340312)Termination reason: Instruction limit
% 3.95/0.96 % (3340312)Termination phase: Saturation
% 3.95/0.96 % (3340312)Time elapsed: 0.043 s
% 3.95/0.96 % (3340312)Peak memory usage: 12 MB
% 3.95/0.96 % (3340312)Instructions burned: 104 (million)
% 3.95/0.96 % Exception at run slice level
% 3.95/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.95/0.96 % (3340314)Instruction limit reached!
% 3.95/0.96 % (3340314)------------------------------
% 3.95/0.96 % (3340314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.96 % (3340314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.96 % (3340314)CaDiCaL version: 2.1.3
% 3.95/0.96 % (3340314)Termination reason: Instruction limit
% 3.95/0.96 % (3340314)Termination phase: Saturation
% 3.95/0.96 % (3340314)Time elapsed: 0.055 s
% 3.95/0.96 % (3340314)Peak memory usage: 13 MB
% 3.95/0.96 % (3340314)Instructions burned: 131 (million)
% 3.95/0.96 % (3340325)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1372298930:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.95/0.96 % (3340327)ott-21_1_sil=16000:fs=off:random_seed=2739316159:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.95/0.96 % (3340326)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=805387594:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.95/0.96 % (3340315)Instruction limit reached!
% 3.95/0.96 % (3340315)------------------------------
% 3.95/0.96 % (3340315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.96 % (3340315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.15 % (3340315)CaDiCaL version: 2.1.3
% 13.35/2.15 % (3340315)Termination reason: Instruction limit
% 13.35/2.15 % (3340315)Termination phase: Saturation
% 13.35/2.15 % (3340315)Time elapsed: 0.071 s
% 13.35/2.15 % (3340315)Peak memory usage: 14 MB
% 13.35/2.15 % (3340315)Instructions burned: 159 (million)
% 13.35/2.15 % (3340328)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2764500944:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 13.35/2.15 % (3340326)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.35/2.15 % (3340332)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1318875842:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 13.35/2.15 % (3340327)Instruction limit reached!
% 13.35/2.15 % (3340327)------------------------------
% 13.35/2.15 % (3340327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.15 % (3340327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.15 % (3340327)CaDiCaL version: 2.1.3
% 13.35/2.15 % (3340327)Termination reason: Instruction limit
% 13.35/2.15 % (3340327)Termination phase: Saturation
% 13.35/2.15 % (3340327)Time elapsed: 0.042 s
% 13.35/2.15 % (3340327)Peak memory usage: 13 MB
% 13.35/2.15 % (3340327)Instructions burned: 182 (million)
% 13.35/2.15 % (3340326)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.35/2.15 % (3340335)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1612893390:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 13.35/2.15 % (3340325)Instruction limit reached!
% 13.35/2.15 % (3340325)------------------------------
% 13.35/2.15 % (3340325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.15 % (3340325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.15 % (3340325)CaDiCaL version: 2.1.3
% 13.35/2.15 % (3340325)Termination reason: Instruction limit
% 13.35/2.15 % (3340325)Termination phase: Saturation
% 13.35/2.15 % (3340325)Time elapsed: 0.058 s
% 13.35/2.15 % (3340325)Peak memory usage: 13 MB
% 13.35/2.15 % (3340325)Instructions burned: 131 (million)
% 13.35/2.15 % Exception at run slice level
% 13.35/2.15 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.35/2.15 % (3340337)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3095814082:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 13.35/2.15 % (3340338)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1275806583:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 13.35/2.15 % (3340338)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.35/2.15 % Exception at run slice level
% 13.35/2.15 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.35/2.15 % (3340341)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1539382797:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 13.35/2.15 % (3340341)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.35/2.15 % (3340326)Instruction limit reached!
% 13.35/2.15 % (3340326)------------------------------
% 13.35/2.15 % (3340326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.15 % (3340326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.15 % (3340326)CaDiCaL version: 2.1.3
% 13.35/2.15 % (3340326)Termination reason: Instruction limit
% 13.35/2.15 % (3340326)Termination phase: Saturation
% 13.35/2.15 % (3340326)Time elapsed: 0.229 s
% 13.35/2.15 % (3340326)Peak memory usage: 15 MB
% 13.35/2.15 % (3340326)Instructions burned: 687 (million)
% 13.35/2.15 % (3340343)fmb+10_1_sil=64000:random_seed=1060367887:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 13.35/2.15 % (3340328)Instruction limit reached!
% 13.35/2.15 % (3340328)------------------------------
% 13.35/2.15 % (3340328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.35/2.15 % (3340328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.15 % (3340328)CaDiCaL version: 2.1.3
% 13.35/2.15 % (3340328)Termination reason: Instruction limit
% 13.35/2.15 % (3340328)Termination phase: Saturation
% 13.35/2.15 % (3340328)Time elapsed: 0.245 s
% 13.35/2.15 % (3340328)Peak memory usage: 15 MB
% 13.35/2.15 % (3340328)Instructions burned: 479 (million)
% 30.88/4.67 % (3340345)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3838366372:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 30.88/4.67 % (3340343)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 30.88/4.67 % Exception at run slice level
% 30.88/4.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.88/4.67 % (3340347)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=287738723:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 30.88/4.67 % Exception at run slice level
% 30.88/4.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.88/4.67 % (3340349)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4280823599:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 30.88/4.67 % (3340338)Instruction limit reached!
% 30.88/4.67 % (3340338)------------------------------
% 30.88/4.67 % (3340338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.88/4.67 % (3340338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.88/4.67 % (3340338)CaDiCaL version: 2.1.3
% 30.88/4.67 % (3340338)Termination reason: Instruction limit
% 30.88/4.67 % (3340338)Termination phase: Saturation
% 30.88/4.67 % (3340338)Time elapsed: 0.249 s
% 30.88/4.67 % (3340338)Peak memory usage: 16 MB
% 30.88/4.67 % (3340338)Instructions burned: 696 (million)
% 30.88/4.67 % (3340335)Instruction limit reached!
% 30.88/4.67 % (3340335)------------------------------
% 30.88/4.67 % (3340335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.88/4.67 % (3340335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.88/4.67 % (3340335)CaDiCaL version: 2.1.3
% 30.88/4.67 % (3340335)Termination reason: Instruction limit
% 30.88/4.67 % (3340335)Termination phase: Saturation
% 30.88/4.67 % (3340335)Time elapsed: 0.294 s
% 30.88/4.67 % (3340335)Peak memory usage: 20 MB
% 30.88/4.67 % (3340335)Instructions burned: 1179 (million)
% 30.88/4.67 % Exception at run slice level
% 30.88/4.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.88/4.67 % (3340349)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.88/4.67 % (3340351)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2325297783:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 30.88/4.67 % (3340352)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4104850176:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 30.88/4.67 % (3340353)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1691105982:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 30.88/4.67 % (3340351)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 30.88/4.67 % (3340351)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.88/4.67 % Exception at run slice level
% 30.88/4.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.88/4.67 % Exception at run slice level
% 30.88/4.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.88/4.67 % (3340358)ott+10_1_sil=32000:tgt=ground:random_seed=478700417:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 30.88/4.67 % (3340357)ott-2_1_sil=16000:newcnf=on:random_seed=3079559770:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 30.88/4.67 % (3340357)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.88/4.67 % (3340341)Instruction limit reached!
% 30.88/4.67 % (3340341)------------------------------
% 30.88/4.67 % (3340341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.88/4.67 % (3340341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.88/4.67 % (3340341)CaDiCaL version: 2.1.3
% 30.88/4.67 % (3340341)Termination reason: Instruction limit
% 30.88/4.67 % (3340341)Termination phase: Saturation
% 30.88/4.67 % (3340341)Time elapsed: 0.429 s
% 30.88/4.67 % (3340341)Peak memory usage: 17 MB
% 30.88/4.67 % (3340341)Instructions burned: 881 (million)
% 30.88/4.67 % (3340361)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3770384236:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 30.88/4.67 % Exception at run slice level
% 49.38/7.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.38/7.28 % (3340363)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1529805676:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 49.38/7.28 % (3340363)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 49.38/7.28 % (3340351)Instruction limit reached!
% 49.38/7.28 % (3340351)------------------------------
% 49.38/7.28 % (3340351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340351)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340351)Termination reason: Instruction limit
% 49.38/7.28 % (3340351)Termination phase: Saturation
% 49.38/7.28 % (3340351)Time elapsed: 0.397 s
% 49.38/7.28 % (3340351)Peak memory usage: 22 MB
% 49.38/7.28 % (3340351)Instructions burned: 1472 (million)
% 49.38/7.28 % (3340365)dis+21_1_sil=32000:sas=cadical:random_seed=2087842518:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 49.38/7.28 % (3340357)Instruction limit reached!
% 49.38/7.28 % (3340357)------------------------------
% 49.38/7.28 % (3340357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340357)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340357)Termination reason: Instruction limit
% 49.38/7.28 % (3340357)Termination phase: Saturation
% 49.38/7.28 % (3340357)Time elapsed: 0.359 s
% 49.38/7.28 % (3340357)Peak memory usage: 17 MB
% 49.38/7.28 % (3340357)Instructions burned: 871 (million)
% 49.38/7.28 % (3340367)ott+11_1_sil=16000:gs=on:random_seed=4057414692:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2991 on theBenchmark for (2991ds/2251Mi)
% 49.38/7.28 % (3340367)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 49.38/7.28 % (3340365)Instruction limit reached!
% 49.38/7.28 % (3340365)------------------------------
% 49.38/7.28 % (3340365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340365)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340365)Termination reason: Instruction limit
% 49.38/7.28 % (3340365)Termination phase: Saturation
% 49.38/7.28 % (3340365)Time elapsed: 0.748 s
% 49.38/7.28 % (3340365)Peak memory usage: 24 MB
% 49.38/7.28 % (3340365)Instructions burned: 3775 (million)
% 49.38/7.28 % (3340369)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1070018132:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 49.38/7.28 % Exception at run slice level
% 49.38/7.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.38/7.28 % (3340371)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=240382144:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 49.38/7.28 % (3340367)Instruction limit reached!
% 49.38/7.28 % (3340367)------------------------------
% 49.38/7.28 % (3340367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340367)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340367)Termination reason: Instruction limit
% 49.38/7.28 % (3340367)Termination phase: Saturation
% 49.38/7.28 % (3340367)Time elapsed: 0.889 s
% 49.38/7.28 % (3340367)Peak memory usage: 19 MB
% 49.38/7.28 % (3340367)Instructions burned: 2252 (million)
% 49.38/7.28 % (3340373)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1323391434:i=29340_2981 on theBenchmark for (2981ds/29340Mi)
% 49.38/7.28 % (3340363)Instruction limit reached!
% 49.38/7.28 % (3340363)------------------------------
% 49.38/7.28 % (3340363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340363)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340363)Termination reason: Instruction limit
% 49.38/7.28 % (3340363)Termination phase: Saturation
% 49.38/7.28 % (3340363)Time elapsed: 1.155 s
% 49.38/7.28 % (3340363)Peak memory usage: 19 MB
% 49.38/7.28 % (3340363)Instructions burned: 3516 (million)
% 49.38/7.28 % (3340375)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1113838285:i=5211_2980 on theBenchmark for (2980ds/5211Mi)
% 49.38/7.28 % (3340349)Instruction limit reached!
% 49.38/7.28 % (3340349)------------------------------
% 49.38/7.28 % (3340349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340349)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340349)Termination reason: Instruction limit
% 49.38/7.28 % (3340349)Termination phase: Saturation
% 49.38/7.28 % (3340349)Time elapsed: 1.891 s
% 49.38/7.28 % (3340349)Peak memory usage: 25 MB
% 49.38/7.28 % (3340349)Instructions burned: 5131 (million)
% 49.38/7.28 % (3340377)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3280721832:i=5497:nm=2_2976 on theBenchmark for (2976ds/5497Mi)
% 49.38/7.28 % Exception at run slice level
% 49.38/7.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.38/7.28 % (3340379)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2543420515:fmbsr=2:i=46332_2975 on theBenchmark for (2975ds/46332Mi)
% 49.38/7.28 % Exception at run slice level
% 49.38/7.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.38/7.28 % (3340381)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=932630891:i=14071_2975 on theBenchmark for (2975ds/14071Mi)
% 49.38/7.28 % Exception at run slice level
% 49.38/7.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.38/7.28 % (3340383)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3657294306:i=22565:add=on:rawr=on_2974 on theBenchmark for (2974ds/22565Mi)
% 49.38/7.28 % (3340371)Instruction limit reached!
% 49.38/7.28 % (3340371)------------------------------
% 49.38/7.28 % (3340371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340371)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340371)Termination reason: Instruction limit
% 49.38/7.28 % (3340371)Termination phase: Saturation
% 49.38/7.28 % (3340371)Time elapsed: 1.139 s
% 49.38/7.28 % (3340371)Peak memory usage: 27 MB
% 49.38/7.28 % (3340371)Instructions burned: 4594 (million)
% 49.38/7.28 % (3340385)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2580141785:i=8173:av=off_2971 on theBenchmark for (2971ds/8173Mi)
% 49.38/7.28 % (3340358)Instruction limit reached!
% 49.38/7.28 % (3340358)------------------------------
% 49.38/7.28 % (3340358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340358)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340358)Termination reason: Instruction limit
% 49.38/7.28 % (3340358)Termination phase: Saturation
% 49.38/7.28 % (3340358)Time elapsed: 2.391 s
% 49.38/7.28 % (3340358)Peak memory usage: 40 MB
% 49.38/7.28 % (3340358)Instructions burned: 5116 (million)
% 49.38/7.28 % (3340387)dis+10_16:1_sil=16000:random_seed=2489900389:i=9155:fsr=off_2970 on theBenchmark for (2970ds/9155Mi)
% 49.38/7.28 % (3340385)Instruction limit reached!
% 49.38/7.28 % (3340385)------------------------------
% 49.38/7.28 % (3340385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340385)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340385)Termination reason: Instruction limit
% 49.38/7.28 % (3340385)Termination phase: Saturation
% 49.38/7.28 % (3340385)Time elapsed: 1.457 s
% 49.38/7.28 % (3340385)Peak memory usage: 36 MB
% 49.38/7.28 % (3340385)Instructions burned: 8179 (million)
% 49.38/7.28 % (3340390)ott-3_8_sil=64000:random_seed=4106158892:i=20139:bs=on_2957 on theBenchmark for (2957ds/20139Mi)
% 49.38/7.28 % (3340375)Instruction limit reached!
% 49.38/7.28 % (3340375)------------------------------
% 49.38/7.28 % (3340375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.28 % (3340375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.28 % (3340375)CaDiCaL version: 2.1.3
% 49.38/7.28 % (3340375)Termination reason: Instruction limit
% 49.38/7.28 % (3340375)Termination phase: Saturation
% 49.38/7.28 % (3340375)Time elapsed: 2.492 s
% 49.38/7.28 % (3340375)Peak memory usage: 38 MB
% 49.38/7.28 % (3340375)Instructions burned: 5213 (million)
% 49.38/7.28 % (3340392)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1130687508:fmbsr=2:i=32576_2955 on theBenchmark for (2955ds/32576Mi)
% 49.38/7.28 % Exception at run slice level
% 49.38/7.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 49.38/7.28 % (3340394)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=19037396:i=11404_2955 on theBenchmark for (2955ds/11404Mi)
% 49.38/7.28 % (3340310) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3340304-3340310"...
% 49.38/7.28 % (3340310)...printing done.
% 49.38/7.28 % (3340310)Refutation found. Thanks to Tanya!
% 49.38/7.28 % SZS status Theorem for theBenchmark
% 49.38/7.28 % SZS output start Proof for theBenchmark
% See solution above
% 49.38/7.29 % (3340310)------------------------------
% 49.38/7.29 % (3340310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.38/7.29 % (3340310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.38/7.29 % (3340310)CaDiCaL version: 2.1.3
% 49.38/7.29 % (3340310)Termination reason: Refutation
% 49.38/7.29 % (3340310)Time elapsed: 6.992 s
% 49.38/7.29 % (3340310)Peak memory usage: 58 MB
% 49.38/7.29 % (3340310)Instructions burned: 15711 (million)
% 49.38/7.29 % (3340304)Success in time 7.058 s
% 49.38/7.29 % Vampire exiting
%------------------------------------------------------------------------------