TSTP Solution File: ITP180^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP180^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:55:05 EDT 2024
% Result : Theorem 11.12s 2.02s
% Output : Refutation 11.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 333
% Syntax : Number of formulae : 350 ( 15 unt; 329 typ; 0 def)
% Number of atoms : 343 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 16 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 0 &; 0 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 44 ( 43 usr)
% Number of type conns : 469 ( 468 >; 1 *; 0 +; 0 <<)
% Number of symbols : 247 ( 244 usr; 27 con; 0-6 aty)
% Number of variables : 44 ( 0 ^ 30 !; 0 ?; 44 :)
% ( 14 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_St1111633946tant_V: $tType ).
thf(type_def_6,type,
standard_Constant_V: $tType ).
thf(type_def_7,type,
product_prod_V_V: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_9,type,
set_Pr744279122od_V_V: $tType ).
thf(type_def_10,type,
set_la14611914_V_nat: $tType ).
thf(type_def_11,type,
labele2128733290_V_nat: $tType ).
thf(type_def_12,type,
set_Pr1058435079_V_nat: $tType ).
thf(type_def_13,type,
produc1699571228od_V_V: $tType ).
thf(type_def_14,type,
v: $tType ).
thf(type_def_15,type,
set_Pr257494450_V_V_V: $tType ).
thf(type_def_16,type,
set_Product_prod_V_V: $tType ).
thf(type_def_17,type,
set_Pr1228022213_V_V_V: $tType ).
thf(type_def_18,type,
set_V2: $tType ).
thf(type_def_19,type,
v2: $tType ).
thf(type_def_20,type,
set_Product_prod_V_V2: $tType ).
thf(type_def_21,type,
set_V: $tType ).
thf(type_def_22,type,
labele201426742od_V_V: $tType ).
thf(type_def_23,type,
set_Pr2015814777od_V_V: $tType ).
thf(type_def_24,type,
labele236903175od_V_V: $tType ).
thf(type_def_25,type,
set_Pr2022779335od_V_V: $tType ).
thf(type_def_26,type,
labele788688367nt_V_V: $tType ).
thf(type_def_27,type,
set_Product_prod_V_V3: $tType ).
thf(type_def_28,type,
labele2115946735nt_V_V: $tType ).
thf(type_def_29,type,
allego859987871tant_V: $tType ).
thf(type_def_30,type,
set_Pr872354016od_V_V: $tType ).
thf(type_def_31,type,
set_Pr951255342od_V_V: $tType ).
thf(type_def_32,type,
set_Pr1498723630od_V_V: $tType ).
thf(type_def_33,type,
set_Pr53436518_nat_V: $tType ).
thf(type_def_34,type,
labele506073123_V_nat: $tType ).
thf(type_def_35,type,
set_Pr1056235617_nat_V: $tType ).
thf(type_def_36,type,
set_Pr1326571566_V_nat: $tType ).
thf(type_def_37,type,
produc778275879_V_nat: $tType ).
thf(type_def_38,type,
set_Pr361461255at_nat: $tType ).
thf(type_def_39,type,
set_Pr597600647_V_nat: $tType ).
thf(type_def_40,type,
set_Pr473545225_V_nat: $tType ).
thf(type_def_41,type,
set_Pr1007924423_V_nat: $tType ).
thf(type_def_42,type,
produc1082089497od_V_V: $tType ).
thf(type_def_43,type,
produc1269720746od_V_V: $tType ).
thf(type_def_44,type,
produc522115815od_V_V: $tType ).
thf(type_def_45,type,
produc1443401592od_V_V: $tType ).
thf(type_def_46,type,
product_prod_V_V2: $tType ).
thf(type_def_47,type,
produc1113554040od_V_V: $tType ).
thf(type_def_48,type,
produc651414759nt_V_V: $tType ).
thf(func_def_0,type,
set_Pr361461255at_nat: $tType ).
thf(func_def_1,type,
set_Pr1326571566_V_nat: $tType ).
thf(func_def_2,type,
set_Pr1007924423_V_nat: $tType ).
thf(func_def_3,type,
set_Pr872354016od_V_V: $tType ).
thf(func_def_4,type,
produc1269720746od_V_V: $tType ).
thf(func_def_5,type,
set_Pr597600647_V_nat: $tType ).
thf(func_def_6,type,
labele506073123_V_nat: $tType ).
thf(func_def_7,type,
set_Pr2015814777od_V_V: $tType ).
thf(func_def_8,type,
set_Pr1056235617_nat_V: $tType ).
thf(func_def_9,type,
produc1082089497od_V_V: $tType ).
thf(func_def_10,type,
set_Pr473545225_V_nat: $tType ).
thf(func_def_11,type,
set_Pr1058435079_V_nat: $tType ).
thf(func_def_12,type,
produc778275879_V_nat: $tType ).
thf(func_def_13,type,
produc651414759nt_V_V: $tType ).
thf(func_def_14,type,
labele201426742od_V_V: $tType ).
thf(func_def_15,type,
set_Pr951255342od_V_V: $tType ).
thf(func_def_16,type,
produc1443401592od_V_V: $tType ).
thf(func_def_17,type,
set_Pr257494450_V_V_V: $tType ).
thf(func_def_18,type,
set_Pr744279122od_V_V: $tType ).
thf(func_def_19,type,
set_Pr1498723630od_V_V: $tType ).
thf(func_def_20,type,
labele236903175od_V_V: $tType ).
thf(func_def_21,type,
set_Pr2022779335od_V_V: $tType ).
thf(func_def_22,type,
produc1699571228od_V_V: $tType ).
thf(func_def_23,type,
produc1113554040od_V_V: $tType ).
thf(func_def_24,type,
set_la14611914_V_nat: $tType ).
thf(func_def_25,type,
produc522115815od_V_V: $tType ).
thf(func_def_26,type,
labele2128733290_V_nat: $tType ).
thf(func_def_27,type,
allego859987871tant_V: $tType ).
thf(func_def_28,type,
labele2115946735nt_V_V: $tType ).
thf(func_def_29,type,
set_Pr1228022213_V_V_V: $tType ).
thf(func_def_30,type,
labele788688367nt_V_V: $tType ).
thf(func_def_31,type,
set_St1111633946tant_V: $tType ).
thf(func_def_32,type,
set_Pr53436518_nat_V: $tType ).
thf(func_def_33,type,
set_Product_prod_V_V: $tType ).
thf(func_def_34,type,
set_Product_prod_V_V2: $tType ).
thf(func_def_35,type,
set_Product_prod_V_V3: $tType ).
thf(func_def_36,type,
standard_Constant_V: $tType ).
thf(func_def_37,type,
product_prod_V_V: $tType ).
thf(func_def_38,type,
product_prod_V_V2: $tType ).
thf(func_def_39,type,
set_V: $tType ).
thf(func_def_40,type,
set_V2: $tType ).
thf(func_def_41,type,
v: $tType ).
thf(func_def_42,type,
v2: $tType ).
thf(func_def_43,type,
bNF_Gr320641027od_V_V: set_St1111633946tant_V > ( standard_Constant_V > product_prod_V_V ) > set_Pr744279122od_V_V ).
thf(func_def_44,type,
bNF_Gr17960482_V_nat: set_la14611914_V_nat > ( labele2128733290_V_nat > labele2128733290_V_nat ) > set_Pr1058435079_V_nat ).
thf(func_def_45,type,
bNF_Gr480427157_V_V_V: set_Pr744279122od_V_V > ( produc1699571228od_V_V > v ) > set_Pr257494450_V_V_V ).
thf(func_def_46,type,
bNF_Gr1069958334_V_V_V: set_Product_prod_V_V > ( product_prod_V_V > v ) > set_Pr1228022213_V_V_V ).
thf(func_def_47,type,
bNF_Gr_V_V: set_V2 > ( v2 > v ) > set_Product_prod_V_V2 ).
thf(func_def_48,type,
bNF_Gr_V_V2: set_V > ( v > v ) > set_Product_prod_V_V ).
thf(func_def_49,type,
comp_V1480932210od_V_V: ( v > produc1699571228od_V_V ) > ( produc1699571228od_V_V > v ) > produc1699571228od_V_V > produc1699571228od_V_V ).
thf(func_def_50,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_51,type,
comp_V_V_V: ( v > v2 ) > ( v2 > v ) > v2 > v2 ).
thf(func_def_52,type,
comp_V_V_V2: ( v > v ) > ( v > v ) > v > v ).
thf(func_def_53,type,
standard_S_Bot_V: standard_Constant_V ).
thf(func_def_54,type,
standard_S_Const_V: v2 > standard_Constant_V ).
thf(func_def_55,type,
standard_S_Top_V: standard_Constant_V ).
thf(func_def_56,type,
getRel2057312683od_V_V: standard_Constant_V > labele201426742od_V_V > set_Pr2015814777od_V_V ).
thf(func_def_57,type,
getRel1902920892od_V_V: standard_Constant_V > labele236903175od_V_V > set_Pr2022779335od_V_V ).
thf(func_def_58,type,
getRel632961956nt_V_V: standard_Constant_V > labele788688367nt_V_V > set_Product_prod_V_V3 ).
thf(func_def_59,type,
getRel1432786916nt_V_V: standard_Constant_V > labele2115946735nt_V_V > set_Product_prod_V_V ).
thf(func_def_60,type,
semant993842370nt_V_V: labele2115946735nt_V_V > allego859987871tant_V > set_Product_prod_V_V ).
thf(func_def_61,type,
edge_p669293514tant_V: set_Pr257494450_V_V_V > set_Pr872354016od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_62,type,
edge_p1776314003tant_V: set_Pr1228022213_V_V_V > set_Pr951255342od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_63,type,
edge_p1322161019tant_V: set_Product_prod_V_V2 > set_Pr1498723630od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_64,type,
edge_p1560004099tant_V: set_Product_prod_V_V > set_Pr744279122od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_65,type,
graph_1541575154_nat_V: labele2128733290_V_nat > labele2115946735nt_V_V > set_Pr53436518_nat_V > $o ).
thf(func_def_66,type,
graph_227683057_nat_V: labele506073123_V_nat > labele2115946735nt_V_V > set_Pr1056235617_nat_V > $o ).
thf(func_def_67,type,
graph_840721237_V_V_V: labele236903175od_V_V > labele2115946735nt_V_V > set_Pr1228022213_V_V_V > $o ).
thf(func_def_68,type,
graph_1808119_V_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V > $o ).
thf(func_def_69,type,
graph_1141886696nt_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V ).
thf(func_def_70,type,
labele1193521135_V_nat: set_Pr1326571566_V_nat > set_Pr1058435079_V_nat > labele506073123_V_nat ).
thf(func_def_71,type,
labele94156371od_V_V: set_Pr951255342od_V_V > set_Product_prod_V_V > labele236903175od_V_V ).
thf(func_def_72,type,
labele712009229nt_V_V: set_Pr744279122od_V_V > set_V > labele2115946735nt_V_V ).
thf(func_def_73,type,
labele1794513953od_V_V: labele201426742od_V_V > set_Pr872354016od_V_V ).
thf(func_def_74,type,
labele668941254od_V_V: labele236903175od_V_V > set_Pr951255342od_V_V ).
thf(func_def_75,type,
labele1469545390nt_V_V: labele788688367nt_V_V > set_Pr1498723630od_V_V ).
thf(func_def_76,type,
labele515735386nt_V_V: labele2115946735nt_V_V > set_Pr744279122od_V_V ).
thf(func_def_77,type,
labele1328382418od_V_V: labele201426742od_V_V > set_Pr744279122od_V_V ).
thf(func_def_78,type,
labele1822884081_V_nat: labele506073123_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_79,type,
labele981584981od_V_V: labele236903175od_V_V > set_Product_prod_V_V ).
thf(func_def_80,type,
labele1152678333nt_V_V: labele788688367nt_V_V > set_V2 ).
thf(func_def_81,type,
labele1134902411nt_V_V: labele2115946735nt_V_V > set_V ).
thf(func_def_82,type,
map_gr157381846tant_V: set_Pr257494450_V_V_V > labele201426742od_V_V > labele2115946735nt_V_V ).
thf(func_def_83,type,
map_gr875022471tant_V: set_Pr1228022213_V_V_V > labele236903175od_V_V > labele2115946735nt_V_V ).
thf(func_def_84,type,
map_gr530397039tant_V: set_Product_prod_V_V2 > labele788688367nt_V_V > labele2115946735nt_V_V ).
thf(func_def_85,type,
map_gr907434255tant_V: set_Product_prod_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V ).
thf(func_def_86,type,
restri1699516426od_V_V: labele201426742od_V_V > labele201426742od_V_V ).
thf(func_def_87,type,
restri1932147897_V_nat: labele506073123_V_nat > labele506073123_V_nat ).
thf(func_def_88,type,
restri1502575645od_V_V: labele236903175od_V_V > labele236903175od_V_V ).
thf(func_def_89,type,
restri175070597nt_V_V: labele788688367nt_V_V > labele788688367nt_V_V ).
thf(func_def_90,type,
restri1305980611nt_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V ).
thf(func_def_91,type,
sup_su693515134od_V_V: set_Pr744279122od_V_V > set_Pr744279122od_V_V > set_Pr744279122od_V_V ).
thf(func_def_92,type,
sup_su1043134939_V_nat: set_Pr1058435079_V_nat > set_Pr1058435079_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_93,type,
sup_su551882943od_V_V: set_Product_prod_V_V > set_Product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_94,type,
sup_sup_set_V: set_V2 > set_V2 > set_V2 ).
thf(func_def_95,type,
sup_sup_set_V2: set_V > set_V > set_V ).
thf(func_def_96,type,
bot_bo2024487199_V_V_o: produc1699571228od_V_V > $o ).
thf(func_def_97,type,
bot_bo1078500394_nat_o: produc778275879_V_nat > $o ).
thf(func_def_98,type,
bot_bo1168561222_V_V_o: product_prod_V_V > $o ).
thf(func_def_99,type,
bot_bot_V_o: v2 > $o ).
thf(func_def_100,type,
bot_bot_V_o2: v > $o ).
thf(func_def_101,type,
bot_bo1053950006_V_nat: set_la14611914_V_nat ).
thf(func_def_102,type,
bot_bo634818242_V_nat: set_Pr1326571566_V_nat ).
thf(func_def_103,type,
bot_bo451843010od_V_V: set_Pr951255342od_V_V ).
thf(func_def_104,type,
bot_bo667804902od_V_V: set_Pr744279122od_V_V ).
thf(func_def_105,type,
bot_bo323535987at_nat: set_Pr361461255at_nat ).
thf(func_def_106,type,
bot_bo1196823539_V_nat: set_Pr597600647_V_nat ).
thf(func_def_107,type,
bot_bo907687539_V_nat: set_Pr1058435079_V_nat ).
thf(func_def_108,type,
bot_bo1834032757_V_nat: set_Pr473545225_V_nat ).
thf(func_def_109,type,
bot_bo2057106227_V_nat: set_Pr1007924423_V_nat ).
thf(func_def_110,type,
bot_bo1708783349_nat_V: set_Pr1056235617_nat_V ).
thf(func_def_111,type,
bot_bo12878899od_V_V: set_Pr2022779335od_V_V ).
thf(func_def_112,type,
bot_bo688400985_V_V_V: set_Pr1228022213_V_V_V ).
thf(func_def_113,type,
bot_bo1389414743od_V_V: set_Product_prod_V_V ).
thf(func_def_114,type,
bot_bot_set_V: set_V2 ).
thf(func_def_115,type,
bot_bot_set_V2: set_V ).
thf(func_def_116,type,
produc2132932316od_V_V: standard_Constant_V > produc1082089497od_V_V > produc1269720746od_V_V ).
thf(func_def_117,type,
produc1482441770od_V_V: standard_Constant_V > produc522115815od_V_V > produc1443401592od_V_V ).
thf(func_def_118,type,
produc1171747370od_V_V: standard_Constant_V > product_prod_V_V2 > produc1113554040od_V_V ).
thf(func_def_119,type,
produc107991630od_V_V: standard_Constant_V > product_prod_V_V > produc1699571228od_V_V ).
thf(func_def_120,type,
produc698429463_V_nat: labele2128733290_V_nat > labele2128733290_V_nat > produc778275879_V_nat ).
thf(func_def_121,type,
produc533118295nt_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > produc651414759nt_V_V ).
thf(func_def_122,type,
produc1736057425od_V_V: produc1699571228od_V_V > produc1699571228od_V_V > produc1082089497od_V_V ).
thf(func_def_123,type,
produc1905750615od_V_V: product_prod_V_V > product_prod_V_V > produc522115815od_V_V ).
thf(func_def_124,type,
product_Pair_V_V: v2 > v2 > product_prod_V_V2 ).
thf(func_def_125,type,
product_Pair_V_V2: v > v > product_prod_V_V ).
thf(func_def_126,type,
id_on_1882925319_V_nat: set_la14611914_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_127,type,
id_on_1491482303od_V_V: set_Pr744279122od_V_V > set_Pr2015814777od_V_V ).
thf(func_def_128,type,
id_on_558037444_V_nat: set_Pr1058435079_V_nat > set_Pr1007924423_V_nat ).
thf(func_def_129,type,
id_on_2125509800od_V_V: set_Product_prod_V_V > set_Pr2022779335od_V_V ).
thf(func_def_130,type,
id_on_V: set_V2 > set_Product_prod_V_V3 ).
thf(func_def_131,type,
id_on_V2: set_V > set_Product_prod_V_V ).
thf(func_def_132,type,
conseq1236301781_nat_V: set_Pr1058435079_V_nat > labele2115946735nt_V_V > $o ).
thf(func_def_133,type,
extens1072773157_nat_V: produc778275879_V_nat > labele2115946735nt_V_V > set_Pr53436518_nat_V > $o ).
thf(func_def_134,type,
extens1533825066_V_V_V: produc651414759nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V > $o ).
thf(func_def_135,type,
mainta1342478555od_V_V: produc778275879_V_nat > labele201426742od_V_V > $o ).
thf(func_def_136,type,
mainta922614952_V_nat: produc778275879_V_nat > labele506073123_V_nat > $o ).
thf(func_def_137,type,
mainta1984786828od_V_V: produc778275879_V_nat > labele236903175od_V_V > $o ).
thf(func_def_138,type,
mainta1026355316_nat_V: produc778275879_V_nat > labele788688367nt_V_V > $o ).
thf(func_def_139,type,
mainta197426964_nat_V: produc778275879_V_nat > labele2115946735nt_V_V > $o ).
thf(func_def_140,type,
mainta1699210777_V_V_V: produc651414759nt_V_V > labele2115946735nt_V_V > $o ).
thf(func_def_141,type,
collec1840263537od_V_V: ( produc1699571228od_V_V > $o ) > set_Pr744279122od_V_V ).
thf(func_def_142,type,
collec1411521682_V_nat: ( produc778275879_V_nat > $o ) > set_Pr1058435079_V_nat ).
thf(func_def_143,type,
collec2040633974od_V_V: ( product_prod_V_V > $o ) > set_Product_prod_V_V ).
thf(func_def_144,type,
collect_V: ( v2 > $o ) > set_V2 ).
thf(func_def_145,type,
collect_V2: ( v > $o ) > set_V ).
thf(func_def_146,type,
insert1818834324tant_V: standard_Constant_V > set_St1111633946tant_V > set_St1111633946tant_V ).
thf(func_def_147,type,
insert213439034_V_nat: labele2128733290_V_nat > set_la14611914_V_nat > set_la14611914_V_nat ).
thf(func_def_148,type,
insert135842892od_V_V: produc1699571228od_V_V > set_Pr744279122od_V_V > set_Pr744279122od_V_V ).
thf(func_def_149,type,
insert481364471_V_nat: produc778275879_V_nat > set_Pr1058435079_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_150,type,
insert2024285275od_V_V: product_prod_V_V > set_Product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_151,type,
insert_V: v2 > set_V2 > set_V2 ).
thf(func_def_152,type,
insert_V2: v > set_V > set_V ).
thf(func_def_153,type,
standa434642387_V_nat: set_Pr1058435079_V_nat > set_Pr361461255at_nat ).
thf(func_def_154,type,
standa1571708471od_V_V: set_Product_prod_V_V > set_Pr597600647_V_nat ).
thf(func_def_155,type,
standa1897115807ules_V: set_V2 > set_Pr1058435079_V_nat ).
thf(func_def_156,type,
standa294833961ules_V: set_V > set_Pr473545225_V_nat ).
thf(func_def_157,type,
standa1568205529ules_V: set_St1111633946tant_V > set_Pr1058435079_V_nat ).
thf(func_def_158,type,
standa1319953089tant_V: produc778275879_V_nat ).
thf(func_def_159,type,
standa157301464ules_V: set_V2 > set_St1111633946tant_V > set_Pr1058435079_V_nat ).
thf(func_def_160,type,
standa214871990tant_V: standard_Constant_V > produc778275879_V_nat ).
thf(func_def_161,type,
member1542015739tant_V: standard_Constant_V > set_St1111633946tant_V > $o ).
thf(func_def_162,type,
member600445121od_V_V: produc1269720746od_V_V > set_Pr872354016od_V_V > $o ).
thf(func_def_163,type,
member361435663od_V_V: produc1443401592od_V_V > set_Pr951255342od_V_V > $o ).
thf(func_def_164,type,
member1416643087od_V_V: produc1113554040od_V_V > set_Pr1498723630od_V_V > $o ).
thf(func_def_165,type,
member1010391347od_V_V: produc1699571228od_V_V > set_Pr744279122od_V_V > $o ).
thf(func_def_166,type,
member1886821968_V_nat: produc778275879_V_nat > set_Pr1058435079_V_nat > $o ).
thf(func_def_167,type,
member785416642od_V_V: produc1082089497od_V_V > set_Pr2015814777od_V_V > $o ).
thf(func_def_168,type,
member134497296od_V_V: produc522115815od_V_V > set_Pr2022779335od_V_V > $o ).
thf(func_def_169,type,
member1990987792od_V_V: product_prod_V_V2 > set_Product_prod_V_V3 > $o ).
thf(func_def_170,type,
member2015049524od_V_V: product_prod_V_V > set_Product_prod_V_V > $o ).
thf(func_def_171,type,
member_V: v2 > set_V2 > $o ).
thf(func_def_172,type,
member_V2: v > set_V > $o ).
thf(func_def_173,type,
c: set_V2 ).
thf(func_def_174,type,
g: labele2115946735nt_V_V ).
thf(func_def_175,type,
l: set_St1111633946tant_V ).
thf(func_def_176,type,
h: v > v ).
thf(func_def_177,type,
m: v2 > v ).
thf(func_def_178,type,
x: v ).
thf(func_def_179,type,
xa: v2 ).
thf(func_def_180,type,
y: v2 ).
thf(func_def_184,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_185,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_186,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_187,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_188,type,
vNOT: $o > $o ).
thf(func_def_189,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_190,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_191,type,
vAND: $o > $o > $o ).
thf(func_def_192,type,
vOR: $o > $o > $o ).
thf(func_def_193,type,
vIMP: $o > $o > $o ).
thf(func_def_194,type,
sK0: v2 > v ).
thf(func_def_195,type,
sK1: v ).
thf(func_def_196,type,
sK2: set_V2 > v2 ).
thf(func_def_197,type,
sK3: set_Pr744279122od_V_V > produc1699571228od_V_V ).
thf(func_def_198,type,
sK4: set_V > v ).
thf(func_def_199,type,
sK5: set_Pr1058435079_V_nat > produc778275879_V_nat ).
thf(func_def_200,type,
sK6: set_Product_prod_V_V > product_prod_V_V ).
thf(func_def_201,type,
sK7: v2 > v ).
thf(func_def_202,type,
sK8: produc1699571228od_V_V > standard_Constant_V ).
thf(func_def_203,type,
sK9: produc1699571228od_V_V > product_prod_V_V ).
thf(func_def_204,type,
sK10: product_prod_V_V > v ).
thf(func_def_205,type,
sK11: product_prod_V_V > v ).
thf(func_def_206,type,
sK12: produc1699571228od_V_V > standard_Constant_V ).
thf(func_def_207,type,
sK13: produc1699571228od_V_V > v ).
thf(func_def_208,type,
sK14: produc1699571228od_V_V > v ).
thf(func_def_209,type,
sK15: v2 > v ).
thf(func_def_210,type,
sK16: produc1699571228od_V_V > standard_Constant_V ).
thf(func_def_211,type,
sK17: produc1699571228od_V_V > product_prod_V_V ).
thf(func_def_212,type,
sK18: product_prod_V_V > v ).
thf(func_def_213,type,
sK19: product_prod_V_V > v ).
thf(func_def_214,type,
sK20: ( produc1699571228od_V_V > $o ) > standard_Constant_V ).
thf(func_def_215,type,
sK21: ( produc1699571228od_V_V > $o ) > product_prod_V_V ).
thf(func_def_216,type,
sK22: ( produc1699571228od_V_V > $o ) > standard_Constant_V ).
thf(func_def_217,type,
sK23: ( produc1699571228od_V_V > $o ) > product_prod_V_V ).
thf(func_def_218,type,
sK24: ( product_prod_V_V > $o ) > v ).
thf(func_def_219,type,
sK25: ( product_prod_V_V > $o ) > v ).
thf(func_def_220,type,
sK26: ( product_prod_V_V > $o ) > v ).
thf(func_def_221,type,
sK27: ( product_prod_V_V > $o ) > v ).
thf(func_def_222,type,
sK28: ( produc1699571228od_V_V > $o ) > standard_Constant_V ).
thf(func_def_223,type,
sK29: ( produc1699571228od_V_V > $o ) > v ).
thf(func_def_224,type,
sK30: ( produc1699571228od_V_V > $o ) > v ).
thf(func_def_225,type,
sK31: set_V2 > v2 > set_V2 ).
thf(func_def_226,type,
sK32: set_V2 > v2 > set_V2 ).
thf(func_def_227,type,
sK33: set_Pr744279122od_V_V > produc1699571228od_V_V > set_Pr744279122od_V_V ).
thf(func_def_228,type,
sK34: set_Pr744279122od_V_V > produc1699571228od_V_V > set_Pr744279122od_V_V ).
thf(func_def_229,type,
sK35: set_V > v > set_V ).
thf(func_def_230,type,
sK36: set_V > v > set_V ).
thf(func_def_231,type,
sK37: set_Pr1058435079_V_nat > produc778275879_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_232,type,
sK38: set_Pr1058435079_V_nat > produc778275879_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_233,type,
sK39: set_Product_prod_V_V > product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_234,type,
sK40: set_Product_prod_V_V > product_prod_V_V > set_Product_prod_V_V ).
thf(func_def_235,type,
sK41: set_V2 > product_prod_V_V2 > v2 ).
thf(func_def_236,type,
sK42: set_Pr744279122od_V_V > produc1082089497od_V_V > produc1699571228od_V_V ).
thf(func_def_237,type,
sK43: set_Product_prod_V_V > produc522115815od_V_V > product_prod_V_V ).
thf(func_def_238,type,
sK44: set_V > product_prod_V_V > v ).
thf(func_def_239,type,
sK45: ( v > v ) > ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_240,type,
sK46: labele2128733290_V_nat > labele2115946735nt_V_V > labele2128733290_V_nat > set_Pr53436518_nat_V ).
thf(func_def_241,type,
sK47: labele2115946735nt_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V ).
thf(func_def_242,type,
sK48: set_Pr744279122od_V_V > ( v2 > v ) > labele788688367nt_V_V > standard_Constant_V ).
thf(func_def_243,type,
sK49: set_Pr744279122od_V_V > ( v2 > v ) > labele788688367nt_V_V > v2 ).
thf(func_def_244,type,
sK50: set_Pr744279122od_V_V > ( v2 > v ) > labele788688367nt_V_V > v2 ).
thf(func_def_245,type,
sK51: set_Pr744279122od_V_V > ( produc1699571228od_V_V > v ) > labele201426742od_V_V > standard_Constant_V ).
thf(func_def_246,type,
sK52: set_Pr744279122od_V_V > ( produc1699571228od_V_V > v ) > labele201426742od_V_V > produc1699571228od_V_V ).
thf(func_def_247,type,
sK53: set_Pr744279122od_V_V > ( produc1699571228od_V_V > v ) > labele201426742od_V_V > produc1699571228od_V_V ).
thf(func_def_248,type,
sK54: set_Pr744279122od_V_V > ( product_prod_V_V > v ) > labele236903175od_V_V > standard_Constant_V ).
thf(func_def_249,type,
sK55: set_Pr744279122od_V_V > ( product_prod_V_V > v ) > labele236903175od_V_V > product_prod_V_V ).
thf(func_def_250,type,
sK56: set_Pr744279122od_V_V > ( product_prod_V_V > v ) > labele236903175od_V_V > product_prod_V_V ).
thf(func_def_251,type,
sK57: set_Pr744279122od_V_V > ( v > v ) > labele2115946735nt_V_V > standard_Constant_V ).
thf(func_def_252,type,
sK58: set_Pr744279122od_V_V > ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_253,type,
sK59: set_Pr744279122od_V_V > ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_254,type,
sK60: ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_255,type,
sK61: ( v2 > v ) > ( v > v2 ) > labele788688367nt_V_V > v2 ).
thf(func_def_256,type,
sK62: ( produc1699571228od_V_V > v ) > ( v > produc1699571228od_V_V ) > labele201426742od_V_V > produc1699571228od_V_V ).
thf(func_def_257,type,
sK63: ( v > v ) > ( v > v ) > labele2115946735nt_V_V > v ).
thf(func_def_258,type,
sK64: ( product_prod_V_V > v ) > ( v > product_prod_V_V ) > labele236903175od_V_V > product_prod_V_V ).
thf(func_def_259,type,
sK65: v2 > v ).
thf(func_def_260,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_261,type,
sK66: 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_262,type,
sK67: set_Pr1058435079_V_nat > produc778275879_V_nat > set_Pr1058435079_V_nat > produc778275879_V_nat > set_Pr1058435079_V_nat ).
thf(func_def_263,type,
sK68: set_V > v > set_V > v > set_V ).
thf(func_def_264,type,
sK69: set_Pr744279122od_V_V > produc1699571228od_V_V > set_Pr744279122od_V_V > produc1699571228od_V_V > set_Pr744279122od_V_V ).
thf(func_def_265,type,
sK70: set_V2 > v2 > set_V2 > v2 > set_V2 ).
thf(func_def_266,type,
sK71: set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_267,type,
sK72: ( produc778275879_V_nat > $o ) > set_Pr1058435079_V_nat > produc778275879_V_nat ).
thf(func_def_268,type,
sK73: set_Pr1058435079_V_nat > set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_269,type,
sK74: set_Pr1058435079_V_nat > set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_270,type,
sK75: set_Pr1058435079_V_nat > ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_271,type,
sK76: ( produc778275879_V_nat > $o ) > set_Pr1058435079_V_nat > produc778275879_V_nat ).
thf(func_def_272,type,
sK77: set_Product_prod_V_V > product_prod_V_V ).
thf(func_def_273,type,
sK78: set_Pr1058435079_V_nat > produc778275879_V_nat ).
thf(func_def_274,type,
sK79: set_V > v ).
thf(func_def_275,type,
sK80: set_Pr744279122od_V_V > produc1699571228od_V_V ).
thf(func_def_276,type,
sK81: set_V2 > v2 ).
thf(func_def_277,type,
sK82: set_Product_prod_V_V > product_prod_V_V ).
thf(func_def_278,type,
sK83: set_Pr1058435079_V_nat > produc778275879_V_nat ).
thf(func_def_279,type,
sK84: set_V > v ).
thf(func_def_280,type,
sK85: set_Pr744279122od_V_V > produc1699571228od_V_V ).
thf(func_def_281,type,
sK86: set_V2 > v2 ).
thf(func_def_282,type,
sK87: ( v > $o ) > v ).
thf(func_def_283,type,
sK88: ( v > $o ) > v ).
thf(func_def_284,type,
sK89: ( product_prod_V_V > $o ) > product_prod_V_V ).
thf(func_def_285,type,
sK90: ( product_prod_V_V > $o ) > product_prod_V_V ).
thf(func_def_286,type,
sK91: ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(func_def_287,type,
sK92: ( produc778275879_V_nat > $o ) > produc778275879_V_nat ).
thf(f42409,plain,
$false,
inference(unit_resulting_resolution,[],[f1742,f1740,f1339,f1725]) ).
thf(f1725,plain,
! [X2: standard_Constant_V,X3: labele2115946735nt_V_V,X0: v,X1: v,X4: labele2115946735nt_V_V] :
( ( $true != vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,X3),X4),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,X3))) )
| ( $true = vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X4)) )
| ( $true != vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X3)) ) ),
inference(cnf_transformation,[],[f1231]) ).
thf(f1231,plain,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_V] :
( ( $true = vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X4)) )
| ( $true != vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,X3),X4),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,X3))) )
| ( $true != vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X3)) ) ),
inference(flattening,[],[f1230]) ).
thf(f1230,plain,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_V] :
( ( $true = vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X4)) )
| ( $true != vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,X3),X4),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,X3))) )
| ( $true != vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X3)) ) ),
inference(ennf_transformation,[],[f864]) ).
thf(f864,plain,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_V] :
( ( $true = vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X3)) )
=> ( ( $true = vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,X3),X4),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,X3))) )
=> ( $true = vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X4)) ) ) ),
inference(fool_elimination,[],[f863]) ).
thf(f863,plain,
! [X0: v,X1: v,X2: standard_Constant_V,X3: labele2115946735nt_V_V,X4: labele2115946735nt_V_V] :
( vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X3))
=> ( vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,X3),X4),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,X3)))
=> vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X0),X1)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X2),X4)) ) ),
inference(rectify,[],[f39]) ).
thf(f39,axiom,
! [X18: v,X19: v,X20: standard_Constant_V,X21: labele2115946735nt_V_V,X29: labele2115946735nt_V_V] :
( vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X18),X19)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X20),X21))
=> ( vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,X21),X29),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,X21)))
=> vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,X18),X19)),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,X20),X29)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_getRel__subgraph) ).
thf(f1339,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),g)) != $true,
inference(cnf_transformation,[],[f899]) ).
thf(f899,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),g)) != $true,
inference(flattening,[],[f361]) ).
thf(f361,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),g)) != $true,
inference(fool_elimination,[],[f360]) ).
thf(f360,plain,
~ vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),g)),
inference(rectify,[],[f357]) ).
thf(f357,negated_conjecture,
~ vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),g)),
inference(negated_conjecture,[],[f356]) ).
thf(f356,conjecture,
vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),g)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f1740,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g))) = $true,
inference(cnf_transformation,[],[f894]) ).
thf(f894,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g))) = $true,
inference(fool_elimination,[],[f893]) ).
thf(f893,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g))),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
vAPP(set_Product_prod_V_V,$o,vAPP(product_prod_V_V,sTfun(set_Product_prod_V_V,$o),member2015049524od_V_V,vAPP(v,product_prod_V_V,vAPP(v,sTfun(v,product_prod_V_V),product_Pair_V_V2,vAPP(v2,v,m,xa)),vAPP(v2,v,m,xa))),vAPP(labele2115946735nt_V_V,set_Product_prod_V_V,vAPP(standard_Constant_V,sTfun(labele2115946735nt_V_V,set_Product_prod_V_V),getRel1432786916nt_V_V,vAPP(v2,standard_Constant_V,standard_S_Const_V,y)),vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062) ).
thf(f1742,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g)),g),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g)))) = $true,
inference(cnf_transformation,[],[f898]) ).
thf(f898,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g)),g),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g)))) = $true,
inference(fool_elimination,[],[f897]) ).
thf(f897,plain,
vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g)),g),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g)))),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
vAPP(set_Product_prod_V_V,$o,vAPP(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o),vAPP(labele2115946735nt_V_V,sTfun(labele2115946735nt_V_V,sTfun(set_Product_prod_V_V,$o)),graph_1808119_V_V_V,vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g)),g),vAPP(set_V,set_Product_prod_V_V,id_on_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,vAPP(labele2115946735nt_V_V,labele2115946735nt_V_V,vAPP(set_Product_prod_V_V,sTfun(labele2115946735nt_V_V,labele2115946735nt_V_V),map_gr907434255tant_V,vAPP(sTfun(v,v),set_Product_prod_V_V,vAPP(set_V,sTfun(sTfun(v,v),set_Product_prod_V_V),bNF_Gr_V_V2,vAPP(labele2115946735nt_V_V,set_V,labele1134902411nt_V_V,g)),h)),g)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_h_I3_J) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ITP180^1 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat May 18 17:25:38 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % (11509)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (11512)WARNING: value z3 for option sas not known
% 0.23/0.42 % (11511)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.42 % (11513)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.42 % (11510)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.42 % (11514)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.23/0.42 % (11512)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.42 % (11515)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.23/0.42 % (11516)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.23/0.46 % (11516)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.47 % Exception at run slice level
% 0.23/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.47 % Exception at run slice level
% 0.23/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.47 % Exception at run slice level
% 0.23/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.48 % (11517)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.23/0.48 % (11518)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.23/0.48 % (11519)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.93/0.52 % (11518)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.93/0.53 % (11517)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.93/0.53 % Exception at run slice level
% 0.93/0.53 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.07/0.54 % (11520)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 11.12/2.00 % (11518)First to succeed.
% 11.12/2.01 % (11518)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11509"
% 11.12/2.02 % (11518)Refutation found. Thanks to Tanya!
% 11.12/2.02 % SZS status Theorem for theBenchmark
% 11.12/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 11.12/2.02 % (11518)------------------------------
% 11.12/2.02 % (11518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 11.12/2.02 % (11518)Termination reason: Refutation
% 11.12/2.02
% 11.12/2.02 % (11518)Memory used [KB]: 13247
% 11.12/2.02 % (11518)Time elapsed: 1.541 s
% 11.12/2.02 % (11518)Instructions burned: 5517 (million)
% 11.12/2.02 % (11509)Success in time 1.622 s
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