TSTP Solution File: ITP176^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP176^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 22:34:17 EDT 2024
% Result : Theorem 0.24s 0.48s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 203
% Syntax : Number of formulae : 211 ( 10 unt; 201 typ; 0 def)
% Number of atoms : 24 ( 9 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 156 ( 6 ~; 0 |; 0 &; 150 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 30 ( 29 usr)
% Number of type conns : 263 ( 263 >; 0 *; 0 +; 0 <<)
% Number of symbols : 145 ( 143 usr; 12 con; 0-4 aty)
% Number of variables : 15 ( 14 ^ 0 !; 0 ?; 15 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr2109276827od_b_b: $tType ).
thf(type_def_6,type,
set_Product_prod_b_b: $tType ).
thf(type_def_7,type,
produc1213276845od_b_b: $tType ).
thf(type_def_8,type,
b: $tType ).
thf(type_def_9,type,
set_b: $tType ).
thf(type_def_11,type,
set_Pr2007082183od_b_b: $tType ).
thf(type_def_12,type,
product_prod_b_b: $tType ).
thf(type_def_13,type,
set_Pr1324126435od_b_b: $tType ).
thf(type_def_14,type,
standard_Constant_a: $tType ).
thf(type_def_15,type,
labele1159362096nt_a_b: $tType ).
thf(type_def_16,type,
labele1835558936od_b_b: $tType ).
thf(type_def_17,type,
set_Pr357419743_b_b_b: $tType ).
thf(type_def_18,type,
set_Pr1021918435od_b_b: $tType ).
thf(type_def_19,type,
set_St761939237tant_a: $tType ).
thf(type_def_20,type,
produc970027067od_b_b: $tType ).
thf(type_def_21,type,
produc1990339951od_b_b: $tType ).
thf(type_def_22,type,
produc276146823_b_b_b: $tType ).
thf(type_def_23,type,
produc1367125253tant_a: $tType ).
thf(type_def_24,type,
produc1052326083od_b_b: $tType ).
thf(type_def_25,type,
produc1168037607od_b_b: $tType ).
thf(type_def_26,type,
produc2112523263_b_b_b: $tType ).
thf(type_def_27,type,
produc1605346267od_b_b: $tType ).
thf(type_def_28,type,
produc255402447od_b_b: $tType ).
thf(type_def_29,type,
set_Pr2134561957od_b_b: $tType ).
thf(type_def_30,type,
set_Pr1906739389_b_b_b: $tType ).
thf(type_def_31,type,
set_Pr1071216121od_b_b: $tType ).
thf(type_def_32,type,
set_Pr2060523537od_b_b: $tType ).
thf(type_def_33,type,
set_Pr621705391od_b_b: $tType ).
thf(type_def_34,type,
set_Pr306736955tant_a: $tType ).
thf(func_def_0,type,
set_Pr2109276827od_b_b: $tType ).
thf(func_def_1,type,
produc970027067od_b_b: $tType ).
thf(func_def_2,type,
set_Pr1071216121od_b_b: $tType ).
thf(func_def_3,type,
set_Pr2134561957od_b_b: $tType ).
thf(func_def_4,type,
set_Pr1021918435od_b_b: $tType ).
thf(func_def_5,type,
produc1052326083od_b_b: $tType ).
thf(func_def_6,type,
produc1990339951od_b_b: $tType ).
thf(func_def_7,type,
set_Pr2060523537od_b_b: $tType ).
thf(func_def_8,type,
set_Pr1906739389_b_b_b: $tType ).
thf(func_def_9,type,
produc1605346267od_b_b: $tType ).
thf(func_def_10,type,
produc276146823_b_b_b: $tType ).
thf(func_def_11,type,
set_Pr306736955tant_a: $tType ).
thf(func_def_12,type,
set_Pr1324126435od_b_b: $tType ).
thf(func_def_13,type,
labele1835558936od_b_b: $tType ).
thf(func_def_14,type,
set_Pr2007082183od_b_b: $tType ).
thf(func_def_15,type,
produc1367125253tant_a: $tType ).
thf(func_def_16,type,
produc1213276845od_b_b: $tType ).
thf(func_def_17,type,
produc1168037607od_b_b: $tType ).
thf(func_def_18,type,
labele1159362096nt_a_b: $tType ).
thf(func_def_19,type,
set_Pr621705391od_b_b: $tType ).
thf(func_def_20,type,
set_Pr357419743_b_b_b: $tType ).
thf(func_def_21,type,
produc255402447od_b_b: $tType ).
thf(func_def_22,type,
produc2112523263_b_b_b: $tType ).
thf(func_def_23,type,
set_St761939237tant_a: $tType ).
thf(func_def_24,type,
set_Product_prod_b_b: $tType ).
thf(func_def_25,type,
standard_Constant_a: $tType ).
thf(func_def_26,type,
product_prod_b_b: $tType ).
thf(func_def_27,type,
set_b: $tType ).
thf(func_def_28,type,
b: $tType ).
thf(func_def_29,type,
equiv_1629197578_set_b: set_Pr2109276827od_b_b > set_Product_prod_b_b > ( produc1213276845od_b_b > b > set_b ) > $o ).
thf(func_def_30,type,
equiv_1036235914_set_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > ( product_prod_b_b > b > set_b ) > $o ).
thf(func_def_31,type,
equiv_167626658_set_b: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > set_b ) > $o ).
thf(func_def_32,type,
equiv_1821124534_set_b: set_Product_prod_b_b > ( b > set_b ) > $o ).
thf(func_def_33,type,
equiv_2048442231od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(func_def_34,type,
equiv_1125628061od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_35,type,
equiv_equiv_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_36,type,
equiv_proj_b_b: set_Product_prod_b_b > b > set_b ).
thf(func_def_37,type,
hilber46179633od_b_b: ( produc1213276845od_b_b > $o ) > produc1213276845od_b_b ).
thf(func_def_38,type,
hilber620807523od_b_b: ( product_prod_b_b > $o ) > product_prod_b_b ).
thf(func_def_39,type,
hilbert_Eps_b: ( b > $o ) > b ).
thf(func_def_40,type,
if_b: $o > b > b > b ).
thf(func_def_41,type,
standard_S_Idt_a: standard_Constant_a ).
thf(func_def_42,type,
getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b ).
thf(func_def_43,type,
graph_792023598_b_b_b: labele1835558936od_b_b > labele1159362096nt_a_b > set_Pr357419743_b_b_b > $o ).
thf(func_def_44,type,
graph_222606102_a_b_b: labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o ).
thf(func_def_45,type,
labele170595300od_b_b: set_Pr1021918435od_b_b > set_Product_prod_b_b > labele1835558936od_b_b ).
thf(func_def_46,type,
labele1230159100nt_a_b: set_Pr1324126435od_b_b > set_b > labele1159362096nt_a_b ).
thf(func_def_47,type,
labele377702064od_b_b: ( set_Pr1324126435od_b_b > set_b > set_Pr1324126435od_b_b ) > labele1159362096nt_a_b > set_Pr1324126435od_b_b ).
thf(func_def_48,type,
labele1287464530_set_b: ( set_Pr1324126435od_b_b > set_b > set_b ) > labele1159362096nt_a_b > set_b ).
thf(func_def_49,type,
labele1741081071nt_a_b: labele1159362096nt_a_b > set_Pr1324126435od_b_b ).
thf(func_def_50,type,
labele1424214014nt_a_b: labele1159362096nt_a_b > set_b ).
thf(func_def_51,type,
restri446606278nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b ).
thf(func_def_52,type,
order_609163036od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_53,type,
order_653178932r_on_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_54,type,
bot_bo1734638456_b_b_o: standard_Constant_a > product_prod_b_b > $o ).
thf(func_def_55,type,
bot_bo1167600078_b_b_o: produc1213276845od_b_b > $o ).
thf(func_def_56,type,
bot_bo1302443370_b_b_o: product_prod_b_b > $o ).
thf(func_def_57,type,
bot_bot_b_b_o: b > b > $o ).
thf(func_def_58,type,
bot_bot_b_o: b > $o ).
thf(func_def_59,type,
bot_bo1160111033tant_a: set_St761939237tant_a ).
thf(func_def_60,type,
bot_bo1964903287od_b_b: set_Pr1021918435od_b_b ).
thf(func_def_61,type,
bot_bo1664927607od_b_b: set_Pr1324126435od_b_b ).
thf(func_def_62,type,
bot_bo1174586163od_b_b: set_Pr2007082183od_b_b ).
thf(func_def_63,type,
bot_bo1124087115_b_b_b: set_Pr357419743_b_b_b ).
thf(func_def_64,type,
bot_bo1343651123od_b_b: set_Product_prod_b_b ).
thf(func_def_65,type,
bot_bot_set_b: set_b ).
thf(func_def_66,type,
ord_le123089219od_b_b: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o ).
thf(func_def_67,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_68,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(func_def_69,type,
produc1432590431od_b_b: standard_Constant_a > product_prod_b_b > produc1213276845od_b_b ).
thf(func_def_70,type,
produc449289715od_b_b: produc1213276845od_b_b > produc1213276845od_b_b > produc970027067od_b_b ).
thf(func_def_71,type,
produc1597690145od_b_b: produc1213276845od_b_b > product_prod_b_b > produc1990339951od_b_b ).
thf(func_def_72,type,
produc1580777273_b_b_b: produc1213276845od_b_b > b > produc276146823_b_b_b ).
thf(func_def_73,type,
produc1977323903tant_a: product_prod_b_b > standard_Constant_a > produc1367125253tant_a ).
thf(func_def_74,type,
produc732676669od_b_b: product_prod_b_b > produc1213276845od_b_b > produc1052326083od_b_b ).
thf(func_def_75,type,
produc546497367od_b_b: product_prod_b_b > product_prod_b_b > produc1168037607od_b_b ).
thf(func_def_76,type,
produc1001682799_b_b_b: product_prod_b_b > b > produc2112523263_b_b_b ).
thf(func_def_77,type,
produc800495189od_b_b: b > produc1213276845od_b_b > produc1605346267od_b_b ).
thf(func_def_78,type,
produc1257047359od_b_b: b > product_prod_b_b > produc255402447od_b_b ).
thf(func_def_79,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(func_def_80,type,
image_1916422435od_b_b: set_Pr1324126435od_b_b > set_St761939237tant_a > set_Product_prod_b_b ).
thf(func_def_81,type,
image_763305007od_b_b: set_Pr2109276827od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_82,type,
image_1397930469od_b_b: set_Pr2134561957od_b_b > set_Pr1324126435od_b_b > set_Product_prod_b_b ).
thf(func_def_83,type,
image_1764625405_b_b_b: set_Pr1906739389_b_b_b > set_Pr1324126435od_b_b > set_b ).
thf(func_def_84,type,
image_532916993od_b_b: set_Pr1071216121od_b_b > set_Product_prod_b_b > set_Pr1324126435od_b_b ).
thf(func_def_85,type,
image_1928024979od_b_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_86,type,
image_921732011_b_b_b: set_Pr357419743_b_b_b > set_Product_prod_b_b > set_b ).
thf(func_def_87,type,
image_984343321od_b_b: set_Pr2060523537od_b_b > set_b > set_Pr1324126435od_b_b ).
thf(func_def_88,type,
image_1177096571od_b_b: set_Pr621705391od_b_b > set_b > set_Product_prod_b_b ).
thf(func_def_89,type,
image_b_b: set_Product_prod_b_b > set_b > set_b ).
thf(func_def_90,type,
conver1398856763od_b_b: set_Pr1324126435od_b_b > set_Pr306736955tant_a ).
thf(func_def_91,type,
conver1943590235tant_a: set_Pr306736955tant_a > set_Pr1324126435od_b_b ).
thf(func_def_92,type,
converse_b_b: set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_93,type,
refl_o1921098222od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(func_def_94,type,
refl_o2134473190od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_95,type,
refl_on_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_96,type,
total_771970601od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(func_def_97,type,
total_178717291od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_98,type,
total_on_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_99,type,
collec279084418od_b_b: ( produc1213276845od_b_b > $o ) > set_Pr1324126435od_b_b ).
thf(func_def_100,type,
collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).
thf(func_def_101,type,
collect_b: ( b > $o ) > set_b ).
thf(func_def_102,type,
insert1909710879tant_a: standard_Constant_a > set_St761939237tant_a > set_St761939237tant_a ).
thf(func_def_103,type,
insert2037698781od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_104,type,
insert1098249399od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > set_Pr2007082183od_b_b ).
thf(func_def_105,type,
insert1952693431od_b_b: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_106,type,
insert_b: b > set_b > set_b ).
thf(func_def_107,type,
is_sin1465183929od_b_b: set_Pr1324126435od_b_b > $o ).
thf(func_def_108,type,
is_sin1713057243od_b_b: set_Product_prod_b_b > $o ).
thf(func_def_109,type,
is_singleton_b: set_b > $o ).
thf(func_def_110,type,
the_el329196508od_b_b: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_111,type,
the_elem_b: set_b > b ).
thf(func_def_112,type,
member1632892294tant_a: standard_Constant_a > set_St761939237tant_a > $o ).
thf(func_def_113,type,
member1516365892od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > $o ).
thf(func_def_114,type,
member1086024932od_b_b: produc970027067od_b_b > set_Pr2109276827od_b_b > $o ).
thf(func_def_115,type,
member942707974od_b_b: produc1990339951od_b_b > set_Pr2134561957od_b_b > $o ).
thf(func_def_116,type,
member1417789726_b_b_b: produc276146823_b_b_b > set_Pr1906739389_b_b_b > $o ).
thf(func_def_117,type,
member1670214300tant_a: produc1367125253tant_a > set_Pr306736955tant_a > $o ).
thf(func_def_118,type,
member4694106od_b_b: produc1052326083od_b_b > set_Pr1071216121od_b_b > $o ).
thf(func_def_119,type,
member1652792080od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_120,type,
member351494440_b_b_b: produc2112523263_b_b_b > set_Pr357419743_b_b_b > $o ).
thf(func_def_121,type,
member599505522od_b_b: produc1605346267od_b_b > set_Pr2060523537od_b_b > $o ).
thf(func_def_122,type,
member641857272od_b_b: produc255402447od_b_b > set_Pr621705391od_b_b > $o ).
thf(func_def_123,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_124,type,
member_b: b > set_b > $o ).
thf(func_def_125,type,
g: labele1159362096nt_a_b ).
thf(func_def_126,type,
p: b > b > $o ).
thf(func_def_127,type,
f: b > b ).
thf(func_def_128,type,
x: b ).
thf(func_def_129,type,
y: b ).
thf(func_def_145,type,
sP0: b > b > set_b > set_b > $o ).
thf(func_def_146,type,
sP1: b > set_b > b > set_b > $o ).
thf(func_def_147,type,
sK2: set_b > b ).
thf(func_def_148,type,
sK3: ( b > $o ) > b > b ).
thf(func_def_149,type,
sK4: set_b > b > set_b ).
thf(func_def_150,type,
sK5: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_151,type,
sK6: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_152,type,
sK7: produc1213276845od_b_b > product_prod_b_b ).
thf(func_def_153,type,
sK8: set_b > b ).
thf(func_def_154,type,
sK9: b > b > set_b > set_b > set_b ).
thf(func_def_155,type,
sK10: ( product_prod_b_b > $o ) > b ).
thf(func_def_156,type,
sK11: ( product_prod_b_b > $o ) > b ).
thf(func_def_157,type,
sK12: b > ( b > $o ) > b ).
thf(func_def_158,type,
sK13: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_159,type,
sK14: ( b > $o ) > ( b > $o ) > b ).
thf(func_def_160,type,
sK15: ( b > $o ) > ( b > $o ) > b ).
thf(func_def_161,type,
sK16: ( b > $o ) > b ).
thf(func_def_162,type,
sK17: ( produc1213276845od_b_b > $o ) > b ).
thf(func_def_163,type,
sK18: ( produc1213276845od_b_b > $o ) > b ).
thf(func_def_164,type,
sK19: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_165,type,
sK20: b > set_b > set_b ).
thf(func_def_166,type,
sK21: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_167,type,
sK22: ( produc1213276845od_b_b > $o ) > product_prod_b_b ).
thf(func_def_168,type,
sK23: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_169,type,
sK24: product_prod_b_b > b ).
thf(func_def_170,type,
sK25: product_prod_b_b > b ).
thf(func_def_171,type,
sK26: ( produc1213276845od_b_b > $o ) > product_prod_b_b ).
thf(func_def_172,type,
sK27: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_173,type,
sK28: set_b > set_Product_prod_b_b > b > b ).
thf(func_def_174,type,
sK29: product_prod_b_b > b ).
thf(func_def_175,type,
sK30: product_prod_b_b > b ).
thf(func_def_176,type,
sK31: produc1213276845od_b_b > b ).
thf(func_def_177,type,
sK32: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_178,type,
sK33: produc1213276845od_b_b > b ).
thf(func_def_179,type,
sK34: ( product_prod_b_b > $o ) > b ).
thf(func_def_180,type,
sK35: ( product_prod_b_b > $o ) > b ).
thf(func_def_181,type,
sK36: b > set_b > set_Product_prod_b_b > b ).
thf(func_def_182,type,
sK37: set_b > b ).
thf(func_def_183,type,
sK38: ( b > $o ) > ( b > $o ) > b ).
thf(func_def_184,type,
sK39: produc1213276845od_b_b > product_prod_b_b ).
thf(func_def_185,type,
sK40: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_187,type,
ph42:
!>[X0: $tType] : X0 ).
thf(f1307,plain,
$false,
inference(trivial_inequality_removal,[],[f1306]) ).
thf(f1306,plain,
( ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) ),
inference(forward_demodulation,[],[f1220,f1189]) ).
thf(f1189,plain,
( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062) ).
thf(f1220,plain,
( ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) ),
inference(cnf_transformation,[],[f966]) ).
thf(f966,plain,
( ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) ),
inference(flattening,[],[f777]) ).
thf(f777,plain,
( ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) ),
inference(fool_elimination,[],[f776]) ).
thf(f776,plain,
( ( hilbert_Eps_b
@ ^ [X0: b] : ( member_b @ X0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [X1: b] : ( member_b @ X1 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
inference(rectify,[],[f360]) ).
thf(f360,negated_conjecture,
( ( hilbert_Eps_b
@ ^ [X2: b] : ( member_b @ X2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [X2: b] : ( member_b @ X2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
inference(negated_conjecture,[],[f359]) ).
thf(f359,conjecture,
( ( hilbert_Eps_b
@ ^ [X2: b] : ( member_b @ X2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= ( hilbert_Eps_b
@ ^ [X2: b] : ( member_b @ X2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : ITP176^1 : TPTP v8.2.0. Released v7.5.0.
% 0.09/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.38 % Computer : n018.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % 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 16:26:53 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TH0_THM_EQU_NAR problem
% 0.16/0.38 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.42 % (14923)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.43 % (14926)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.24/0.43 % (14923)Instruction limit reached!
% 0.24/0.43 % (14923)------------------------------
% 0.24/0.43 % (14923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.43 % (14923)Termination reason: Unknown
% 0.24/0.43 % (14923)Termination phase: shuffling
% 0.24/0.43
% 0.24/0.43 % (14923)Memory used [KB]: 1407
% 0.24/0.43 % (14923)Time elapsed: 0.004 s
% 0.24/0.43 % (14923)Instructions burned: 2 (million)
% 0.24/0.43 % (14923)------------------------------
% 0.24/0.43 % (14923)------------------------------
% 0.24/0.44 % (14926)Instruction limit reached!
% 0.24/0.44 % (14926)------------------------------
% 0.24/0.44 % (14926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (14926)Termination reason: Unknown
% 0.24/0.44 % (14926)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (14926)Memory used [KB]: 1791
% 0.24/0.44 % (14926)Time elapsed: 0.014 s
% 0.24/0.44 % (14926)Instructions burned: 18 (million)
% 0.24/0.44 % (14926)------------------------------
% 0.24/0.44 % (14926)------------------------------
% 0.24/0.44 % (14927)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.44 % (14925)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.24/0.44 % (14922)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.24/0.44 % (14921)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.44 % (14920)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.24/0.44 % (14927)Instruction limit reached!
% 0.24/0.44 % (14927)------------------------------
% 0.24/0.44 % (14927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (14927)Termination reason: Unknown
% 0.24/0.44 % (14927)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (14927)Memory used [KB]: 1535
% 0.24/0.44 % (14927)Time elapsed: 0.005 s
% 0.24/0.44 % (14927)Instructions burned: 3 (million)
% 0.24/0.44 % (14927)------------------------------
% 0.24/0.44 % (14927)------------------------------
% 0.24/0.44 % (14924)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.44 % (14921)Instruction limit reached!
% 0.24/0.44 % (14921)------------------------------
% 0.24/0.44 % (14921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (14921)Termination reason: Unknown
% 0.24/0.44 % (14921)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (14921)Memory used [KB]: 1535
% 0.24/0.44 % (14921)Time elapsed: 0.005 s
% 0.24/0.44 % (14921)Instructions burned: 5 (million)
% 0.24/0.44 % (14921)------------------------------
% 0.24/0.44 % (14921)------------------------------
% 0.24/0.44 % (14924)Instruction limit reached!
% 0.24/0.44 % (14924)------------------------------
% 0.24/0.44 % (14924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.44 % (14924)Termination reason: Unknown
% 0.24/0.44 % (14924)Termination phase: shuffling
% 0.24/0.44
% 0.24/0.44 % (14924)Memory used [KB]: 1407
% 0.24/0.44 % (14924)Time elapsed: 0.003 s
% 0.24/0.44 % (14924)Instructions burned: 2 (million)
% 0.24/0.44 % (14924)------------------------------
% 0.24/0.44 % (14924)------------------------------
% 0.24/0.44 % (14928)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.24/0.45 % (14929)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.24/0.45 % (14922)Instruction limit reached!
% 0.24/0.45 % (14922)------------------------------
% 0.24/0.45 % (14922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.45 % (14922)Termination reason: Unknown
% 0.24/0.45 % (14922)Termination phase: Property scanning
% 0.24/0.45
% 0.24/0.45 % (14922)Memory used [KB]: 1918
% 0.24/0.45 % (14922)Time elapsed: 0.019 s
% 0.24/0.45 % (14922)Instructions burned: 27 (million)
% 0.24/0.45 % (14922)------------------------------
% 0.24/0.45 % (14922)------------------------------
% 0.24/0.45 % (14931)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.24/0.46 % (14932)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.46 % (14930)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.46 % (14932)Instruction limit reached!
% 0.24/0.46 % (14932)------------------------------
% 0.24/0.46 % (14932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (14930)Instruction limit reached!
% 0.24/0.46 % (14930)------------------------------
% 0.24/0.46 % (14930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (14930)Termination reason: Unknown
% 0.24/0.46 % (14930)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (14930)Memory used [KB]: 1535
% 0.24/0.46 % (14930)Time elapsed: 0.003 s
% 0.24/0.46 % (14930)Instructions burned: 3 (million)
% 0.24/0.46 % (14930)------------------------------
% 0.24/0.46 % (14930)------------------------------
% 0.24/0.46 % (14932)Termination reason: Unknown
% 0.24/0.46 % (14932)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (14932)Memory used [KB]: 1535
% 0.24/0.46 % (14932)Time elapsed: 0.007 s
% 0.24/0.46 % (14932)Instructions burned: 8 (million)
% 0.24/0.46 % (14932)------------------------------
% 0.24/0.46 % (14932)------------------------------
% 0.24/0.46 % (14929)Instruction limit reached!
% 0.24/0.46 % (14929)------------------------------
% 0.24/0.46 % (14929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (14929)Termination reason: Unknown
% 0.24/0.46 % (14929)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (14929)Memory used [KB]: 1791
% 0.24/0.46 % (14929)Time elapsed: 0.011 s
% 0.24/0.46 % (14929)Instructions burned: 15 (million)
% 0.24/0.46 % (14929)------------------------------
% 0.24/0.46 % (14929)------------------------------
% 0.24/0.46 % (14928)Instruction limit reached!
% 0.24/0.46 % (14928)------------------------------
% 0.24/0.46 % (14928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (14928)Termination reason: Unknown
% 0.24/0.46 % (14928)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (14928)Memory used [KB]: 2174
% 0.24/0.46 % (14928)Time elapsed: 0.021 s
% 0.24/0.46 % (14928)Instructions burned: 37 (million)
% 0.24/0.46 % (14928)------------------------------
% 0.24/0.46 % (14928)------------------------------
% 0.24/0.47 % (14933)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.48 % (14934)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.48 % (14925)First to succeed.
% 0.24/0.48 % (14935)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.48 % (14934)Instruction limit reached!
% 0.24/0.48 % (14934)------------------------------
% 0.24/0.48 % (14934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (14934)Termination reason: Unknown
% 0.24/0.48 % (14934)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (14934)Memory used [KB]: 1535
% 0.24/0.48 % (14934)Time elapsed: 0.004 s
% 0.24/0.48 % (14934)Instructions burned: 3 (million)
% 0.24/0.48 % (14934)------------------------------
% 0.24/0.48 % (14934)------------------------------
% 0.24/0.48 % (14937)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.24/0.48 % (14935)Instruction limit reached!
% 0.24/0.48 % (14935)------------------------------
% 0.24/0.48 % (14935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (14925)Refutation found. Thanks to Tanya!
% 0.24/0.48 % SZS status Theorem for theBenchmark
% 0.24/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.48 % (14925)------------------------------
% 0.24/0.48 % (14925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (14925)Termination reason: Refutation
% 0.24/0.48
% 0.24/0.48 % (14925)Memory used [KB]: 6780
% 0.24/0.48 % (14925)Time elapsed: 0.041 s
% 0.24/0.48 % (14925)Instructions burned: 61 (million)
% 0.24/0.48 % (14925)------------------------------
% 0.24/0.48 % (14925)------------------------------
% 0.24/0.48 % (14919)Success in time 0.084 s
% 0.24/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------