TSTP Solution File: ITP136^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP136^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 22:33:56 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 242
% Syntax : Number of formulae : 256 ( 13 unt; 239 typ; 0 def)
% Number of atoms : 41 ( 26 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 9 ~; 4 |; 1 &; 56 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 37 ( 36 usr)
% Number of type conns : 423 ( 423 >; 0 *; 0 +; 0 <<)
% Number of symbols : 170 ( 167 usr; 15 con; 0-3 aty)
% Number of variables : 12 ( 0 ^ 11 !; 0 ?; 12 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_7,type,
set_nat: $tType ).
thf(type_def_8,type,
paraco1605129243lle_tv: $tType ).
thf(type_def_9,type,
set_Pa1764573435lle_tv: $tType ).
thf(type_def_10,type,
product_prod_nat_nat: $tType ).
thf(type_def_11,type,
set_Pr1986765409at_nat: $tType ).
thf(type_def_12,type,
produc270694976lle_tv: $tType ).
thf(type_def_13,type,
set_Pr13445366lle_tv: $tType ).
thf(type_def_14,type,
produc194167194tv_nat: $tType ).
thf(type_def_15,type,
set_Pr1725653840tv_nat: $tType ).
thf(type_def_16,type,
produc1647334210lle_tv: $tType ).
thf(type_def_17,type,
set_Pr2014382200lle_tv: $tType ).
thf(type_def_18,type,
set_Pr2061825550lle_tv: $tType ).
thf(type_def_19,type,
set_Pr2120184979lle_fm: $tType ).
thf(type_def_20,type,
set_Pr1357842111at_nat: $tType ).
thf(type_def_21,type,
set_Pr560526279lle_tv: $tType ).
thf(type_def_22,type,
list_char: $tType ).
thf(type_def_23,type,
produc931990033lle_tv: $tType ).
thf(type_def_24,type,
paraco1604210848lle_fm: $tType ).
thf(type_def_25,type,
produc1852595672lle_tv: $tType ).
thf(type_def_26,type,
produc696645085lle_fm: $tType ).
thf(type_def_27,type,
produc1281043295at_nat: $tType ).
thf(type_def_28,type,
produc1443694919lle_tv: $tType ).
thf(type_def_29,type,
produc450659916lle_fm: $tType ).
thf(type_def_30,type,
produc596913417at_nat: $tType ).
thf(type_def_31,type,
produc1250255278lle_fm: $tType ).
thf(type_def_32,type,
produc1720769084lle_tv: $tType ).
thf(type_def_33,type,
set_Pr1490359111at_nat: $tType ).
thf(type_def_34,type,
set_Pr292927124lle_tv: $tType ).
thf(type_def_35,type,
set_Pr1943077434tv_nat: $tType ).
thf(type_def_36,type,
set_Pr2012908090lle_tv: $tType ).
thf(type_def_37,type,
set_Pr1723822845lle_tv: $tType ).
thf(type_def_38,type,
set_Pr840833727at_nat: $tType ).
thf(type_def_39,type,
set_Pr1019238018lle_fm: $tType ).
thf(type_def_40,type,
set_Pr1475944804lle_fm: $tType ).
thf(type_def_41,type,
set_Pr698334450lle_tv: $tType ).
thf(func_def_0,type,
set_Pr1475944804lle_fm: $tType ).
thf(func_def_1,type,
produc1250255278lle_fm: $tType ).
thf(func_def_2,type,
set_Pr2012908090lle_tv: $tType ).
thf(func_def_3,type,
set_Pr698334450lle_tv: $tType ).
thf(func_def_4,type,
produc1720769084lle_tv: $tType ).
thf(func_def_5,type,
set_Pr2061825550lle_tv: $tType ).
thf(func_def_6,type,
set_Pr1943077434tv_nat: $tType ).
thf(func_def_7,type,
set_Pr292927124lle_tv: $tType ).
thf(func_def_8,type,
produc1852595672lle_tv: $tType ).
thf(func_def_9,type,
set_Pr1723822845lle_tv: $tType ).
thf(func_def_10,type,
set_Pr2120184979lle_fm: $tType ).
thf(func_def_11,type,
produc1443694919lle_tv: $tType ).
thf(func_def_12,type,
produc696645085lle_fm: $tType ).
thf(func_def_13,type,
set_Pr1490359111at_nat: $tType ).
thf(func_def_14,type,
set_Pr2014382200lle_tv: $tType ).
thf(func_def_15,type,
set_Pr1019238018lle_fm: $tType ).
thf(func_def_16,type,
set_Pr840833727at_nat: $tType ).
thf(func_def_17,type,
set_Pr560526279lle_tv: $tType ).
thf(func_def_18,type,
produc1647334210lle_tv: $tType ).
thf(func_def_19,type,
produc450659916lle_fm: $tType ).
thf(func_def_20,type,
set_Pr1357842111at_nat: $tType ).
thf(func_def_21,type,
produc596913417at_nat: $tType ).
thf(func_def_22,type,
produc931990033lle_tv: $tType ).
thf(func_def_23,type,
set_Pr1725653840tv_nat: $tType ).
thf(func_def_24,type,
set_Pr13445366lle_tv: $tType ).
thf(func_def_25,type,
produc1281043295at_nat: $tType ).
thf(func_def_26,type,
produc194167194tv_nat: $tType ).
thf(func_def_27,type,
produc270694976lle_tv: $tType ).
thf(func_def_28,type,
set_Pr1986765409at_nat: $tType ).
thf(func_def_29,type,
set_Pa1764573435lle_tv: $tType ).
thf(func_def_30,type,
product_prod_nat_nat: $tType ).
thf(func_def_31,type,
paraco1605129243lle_tv: $tType ).
thf(func_def_32,type,
paraco1604210848lle_fm: $tType ).
thf(func_def_33,type,
list_char: $tType ).
thf(func_def_34,type,
set_nat: $tType ).
thf(func_def_35,type,
nat: $tType ).
thf(func_def_36,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_37,type,
inj_on1955349912lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > $o ).
thf(func_def_38,type,
inj_on1179712058tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > $o ).
thf(func_def_39,type,
inj_on772319074lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > $o ).
thf(func_def_40,type,
inj_on26176689at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > $o ).
thf(func_def_41,type,
inj_on1745913142lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > $o ).
thf(func_def_42,type,
inj_on552895452tv_nat: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > $o ).
thf(func_def_43,type,
inj_on2112487900lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > $o ).
thf(func_def_44,type,
the_inv_into_nat_nat: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_45,type,
the_in452116896lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_46,type,
if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_47,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_48,type,
ord_le241064091lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).
thf(func_def_49,type,
top_top_nat_o: nat > $o ).
thf(func_def_50,type,
top_to1299250770e_tv_o: paraco1605129243lle_tv > $o ).
thf(func_def_51,type,
top_to632227436_nat_o: product_prod_nat_nat > $o ).
thf(func_def_52,type,
top_to1889334367e_tv_o: produc270694976lle_tv > $o ).
thf(func_def_53,type,
top_to900819589_nat_o: produc194167194tv_nat > $o ).
thf(func_def_55,type,
top_top_set_nat: set_nat ).
thf(func_def_56,type,
top_to1057771083lle_tv: set_Pa1764573435lle_tv ).
thf(func_def_57,type,
top_to138697918lle_tv: set_Pr2061825550lle_tv ).
thf(func_def_58,type,
top_to775056195lle_fm: set_Pr2120184979lle_fm ).
thf(func_def_59,type,
top_to1541413903at_nat: set_Pr1357842111at_nat ).
thf(func_def_60,type,
top_to449985143lle_tv: set_Pr560526279lle_tv ).
thf(func_def_61,type,
top_to1555900337at_nat: set_Pr1986765409at_nat ).
thf(func_def_62,type,
top_to1411004326lle_tv: set_Pr13445366lle_tv ).
thf(func_def_63,type,
top_to975729152tv_nat: set_Pr1725653840tv_nat ).
thf(func_def_64,type,
top_to1871154984lle_tv: set_Pr2014382200lle_tv ).
thf(func_def_65,type,
paraco761681009ge_int: ( nat > nat ) > ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).
thf(func_def_66,type,
paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_67,type,
paraco1632582009tv_rel: produc931990033lle_tv > produc931990033lle_tv > $o ).
thf(func_def_68,type,
paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
thf(func_def_69,type,
paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_70,type,
paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_71,type,
paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_72,type,
paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_73,type,
paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).
thf(func_def_74,type,
paraco367965286_Truth: paraco1604210848lle_fm ).
thf(func_def_75,type,
paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
thf(func_def_76,type,
paraco793048302_Indet: nat > paraco1605129243lle_tv ).
thf(func_def_77,type,
paraco2051596139lle_tv: ( $o > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_78,type,
paraco327635598_valid: paraco1604210848lle_fm > $o ).
thf(func_def_79,type,
paraco55203475lid_in: set_nat > paraco1604210848lle_fm > $o ).
thf(func_def_80,type,
produc1297923922lle_tv: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > produc1852595672lle_tv ).
thf(func_def_81,type,
produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
thf(func_def_82,type,
produc780837143at_nat: ( nat > nat ) > ( nat > nat ) > produc1281043295at_nat ).
thf(func_def_83,type,
produc1680557635lle_tv: ( nat > nat ) > paraco1605129243lle_tv > produc931990033lle_tv ).
thf(func_def_84,type,
produc1943344577lle_tv: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc1443694919lle_tv ).
thf(func_def_85,type,
produc1126104134lle_fm: paraco1604210848lle_fm > paraco1604210848lle_fm > produc450659916lle_fm ).
thf(func_def_86,type,
produc1633679363at_nat: paraco1605129243lle_tv > ( nat > nat ) > produc596913417at_nat ).
thf(func_def_87,type,
produc2058540732lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv ).
thf(func_def_88,type,
produc407632608lle_fm: produc696645085lle_fm > produc696645085lle_fm > produc1250255278lle_fm ).
thf(func_def_89,type,
produc2057188974lle_tv: produc931990033lle_tv > produc931990033lle_tv > produc1720769084lle_tv ).
thf(func_def_90,type,
produc1942165868lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_91,type,
produc939316703lle_tv: ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(func_def_92,type,
produc1807466521lle_tv: ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_93,type,
produc109093078at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(func_def_94,type,
produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv ).
thf(func_def_95,type,
produc275353523e_fm_o: ( produc696645085lle_fm > $o ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ).
thf(func_def_96,type,
produc752649287e_tv_o: ( produc931990033lle_tv > $o ) > ( nat > nat ) > paraco1605129243lle_tv > $o ).
thf(func_def_97,type,
produc1900967599lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_98,type,
produc1566550641lle_tv: ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc696645085lle_fm > produc931990033lle_tv ).
thf(func_def_99,type,
produc951033137lle_fm: ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > produc931990033lle_tv > produc696645085lle_fm ).
thf(func_def_100,type,
produc532909085lle_tv: ( ( nat > nat ) > nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(func_def_101,type,
produc505105722at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_102,type,
produc313957681lle_tv: ( nat > nat ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc270694976lle_tv ).
thf(func_def_103,type,
produc1685803475tv_nat: ( nat > nat ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > product_prod_nat_nat ).
thf(func_def_104,type,
produc2101297531lle_tv: ( nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).
thf(func_def_105,type,
produc1250721397at_nat: ( nat > paraco1605129243lle_tv ) > ( nat > nat ) > product_prod_nat_nat > produc194167194tv_nat ).
thf(func_def_106,type,
produc210389789lle_tv: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc1647334210lle_tv ).
thf(func_def_107,type,
produc189459613tv_nat: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > produc194167194tv_nat ).
thf(func_def_108,type,
produc1975500101lle_tv: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc1647334210lle_tv ).
thf(func_def_109,type,
produc386540311at_nat: ( paraco1605129243lle_tv > nat ) > ( nat > nat ) > produc194167194tv_nat > product_prod_nat_nat ).
thf(func_def_110,type,
produc72207551lle_tv: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc270694976lle_tv ).
thf(func_def_111,type,
produc42536895at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( nat > nat ) > produc194167194tv_nat > produc194167194tv_nat ).
thf(func_def_112,type,
produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
thf(func_def_113,type,
produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_114,type,
produc1636169559lle_tv: produc931990033lle_tv > nat > nat ).
thf(func_def_115,type,
produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm ).
thf(func_def_116,type,
produc1589291287at_nat: produc596913417at_nat > paraco1605129243lle_tv ).
thf(func_def_117,type,
produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_118,type,
produc547496597lle_tv: produc931990033lle_tv > paraco1605129243lle_tv ).
thf(func_def_119,type,
produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_120,type,
produc500618325at_nat: produc596913417at_nat > nat > nat ).
thf(func_def_121,type,
produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv ).
thf(func_def_122,type,
produc225513635lle_tv: produc931990033lle_tv > produc596913417at_nat ).
thf(func_def_123,type,
produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm ).
thf(func_def_124,type,
produc178635363at_nat: produc596913417at_nat > produc931990033lle_tv ).
thf(func_def_125,type,
inv_image_nat_nat: set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_126,type,
inv_im1292588663lle_tv: set_Pr1986765409at_nat > ( paraco1605129243lle_tv > nat ) > set_Pr2014382200lle_tv ).
thf(func_def_127,type,
inv_im516950809tv_nat: set_Pr2014382200lle_tv > ( nat > paraco1605129243lle_tv ) > set_Pr1986765409at_nat ).
thf(func_def_128,type,
inv_im719552961lle_tv: set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv ).
thf(func_def_129,type,
total_on_nat: set_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_130,type,
total_1781621663lle_tv: set_Pa1764573435lle_tv > set_Pr2014382200lle_tv > $o ).
thf(func_def_131,type,
total_1775715973at_nat: set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o ).
thf(func_def_132,type,
total_517371324lle_tv: set_Pr13445366lle_tv > set_Pr292927124lle_tv > $o ).
thf(func_def_133,type,
total_440843542tv_nat: set_Pr1725653840tv_nat > set_Pr1943077434tv_nat > $o ).
thf(func_def_134,type,
total_92239038lle_tv: set_Pr2014382200lle_tv > set_Pr2012908090lle_tv > $o ).
thf(func_def_135,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_136,type,
collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).
thf(func_def_137,type,
collec1102043437lle_tv: ( produc1852595672lle_tv > $o ) > set_Pr2061825550lle_tv ).
thf(func_def_138,type,
collec835549234lle_fm: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm ).
thf(func_def_139,type,
collec791369802at_nat: ( produc1281043295at_nat > $o ) > set_Pr1357842111at_nat ).
thf(func_def_140,type,
collec1624074086lle_tv: ( produc931990033lle_tv > $o ) > set_Pr560526279lle_tv ).
thf(func_def_141,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(func_def_142,type,
collec924990229lle_tv: ( produc270694976lle_tv > $o ) > set_Pr13445366lle_tv ).
thf(func_def_143,type,
collec848462447tv_nat: ( produc194167194tv_nat > $o ) > set_Pr1725653840tv_nat ).
thf(func_def_144,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_145,type,
image_1151963140lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > set_Pa1764573435lle_tv ).
thf(func_def_146,type,
image_376325286tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > set_nat ).
thf(func_def_147,type,
image_335818702lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).
thf(func_def_148,type,
image_807538418lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm ).
thf(func_def_149,type,
image_1154804148lle_tv: ( produc696645085lle_fm > produc931990033lle_tv ) > set_Pr2120184979lle_fm > set_Pr560526279lle_tv ).
thf(func_def_150,type,
image_924970994lle_tv: ( produc696645085lle_fm > produc1443694919lle_tv ) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv ).
thf(func_def_151,type,
image_1585092542lle_fm: ( produc931990033lle_tv > produc696645085lle_fm ) > set_Pr560526279lle_tv > set_Pr2120184979lle_fm ).
thf(func_def_152,type,
image_1751508608lle_tv: ( produc931990033lle_tv > produc931990033lle_tv ) > set_Pr560526279lle_tv > set_Pr560526279lle_tv ).
thf(func_def_153,type,
image_1724396928at_nat: ( produc931990033lle_tv > produc596913417at_nat ) > set_Pr560526279lle_tv > set_Pr840833727at_nat ).
thf(func_def_154,type,
image_815163717at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).
thf(func_def_155,type,
image_1674248956lle_tv: ( product_prod_nat_nat > produc270694976lle_tv ) > set_Pr1986765409at_nat > set_Pr13445366lle_tv ).
thf(func_def_156,type,
image_1597721174tv_nat: ( product_prod_nat_nat > produc194167194tv_nat ) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat ).
thf(func_def_157,type,
image_1507992062lle_tv: ( product_prod_nat_nat > produc1647334210lle_tv ) > set_Pr1986765409at_nat > set_Pr2014382200lle_tv ).
thf(func_def_158,type,
image_1787705850at_nat: ( produc270694976lle_tv > product_prod_nat_nat ) > set_Pr13445366lle_tv > set_Pr1986765409at_nat ).
thf(func_def_159,type,
image_149830562lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > set_Pr13445366lle_tv ).
thf(func_def_160,type,
image_53754658tv_nat: ( produc270694976lle_tv > produc194167194tv_nat ) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat ).
thf(func_def_161,type,
image_988201162lle_tv: ( produc270694976lle_tv > produc1647334210lle_tv ) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv ).
thf(func_def_162,type,
image_326034184lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm ).
thf(func_def_163,type,
image_769496456lle_tv: ( produc596913417at_nat > produc931990033lle_tv ) > set_Pr840833727at_nat > set_Pr560526279lle_tv ).
thf(func_def_164,type,
image_1805124128at_nat: ( produc194167194tv_nat > product_prod_nat_nat ) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat ).
thf(func_def_165,type,
image_1200372424lle_tv: ( produc194167194tv_nat > produc270694976lle_tv ) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv ).
thf(func_def_166,type,
image_1221801032lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv ).
thf(func_def_167,type,
accp_P2085826120lle_tv: ( produc931990033lle_tv > produc931990033lle_tv > $o ) > produc931990033lle_tv > $o ).
thf(func_def_168,type,
lex_pr2001015487lle_fm: set_Pr2061825550lle_tv > set_Pr1019238018lle_fm > set_Pr1475944804lle_fm ).
thf(func_def_169,type,
lex_pr1093414955lle_tv: set_Pr1357842111at_nat > set_Pr2014382200lle_tv > set_Pr698334450lle_tv ).
thf(func_def_170,type,
lex_prod_nat_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1490359111at_nat ).
thf(func_def_171,type,
lex_pr413684186lle_tv: set_Pr1986765409at_nat > set_Pr2014382200lle_tv > set_Pr292927124lle_tv ).
thf(func_def_172,type,
lex_pr1785529980tv_nat: set_Pr2014382200lle_tv > set_Pr1986765409at_nat > set_Pr1943077434tv_nat ).
thf(func_def_173,type,
lex_pr567812260lle_tv: set_Pr2014382200lle_tv > set_Pr2014382200lle_tv > set_Pr2012908090lle_tv ).
thf(func_def_174,type,
wf_nat: set_Pr1986765409at_nat > $o ).
thf(func_def_175,type,
wf_Par1378404612lle_tv: set_Pr2014382200lle_tv > $o ).
thf(func_def_176,type,
same_f1581085506lle_fm: ( ( list_char > paraco1605129243lle_tv ) > $o ) > ( ( list_char > paraco1605129243lle_tv ) > set_Pr1019238018lle_fm ) > set_Pr1475944804lle_fm ).
thf(func_def_177,type,
same_f1138187694lle_tv: ( ( nat > nat ) > $o ) > ( ( nat > nat ) > set_Pr2014382200lle_tv ) > set_Pr698334450lle_tv ).
thf(func_def_178,type,
member_nat: nat > set_nat > $o ).
thf(func_def_179,type,
member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).
thf(func_def_180,type,
member146333935lle_tv: produc1852595672lle_tv > set_Pr2061825550lle_tv > $o ).
thf(func_def_181,type,
member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o ).
thf(func_def_182,type,
member112824072at_nat: produc1281043295at_nat > set_Pr1357842111at_nat > $o ).
thf(func_def_183,type,
member1569366824lle_tv: produc931990033lle_tv > set_Pr560526279lle_tv > $o ).
thf(func_def_184,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_185,type,
member813679063lle_tv: produc270694976lle_tv > set_Pr13445366lle_tv > $o ).
thf(func_def_186,type,
member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o ).
thf(func_def_187,type,
member334644067lle_fm: produc450659916lle_fm > set_Pr1019238018lle_fm > $o ).
thf(func_def_188,type,
member1234290208at_nat: produc596913417at_nat > set_Pr840833727at_nat > $o ).
thf(func_def_189,type,
member737151281tv_nat: produc194167194tv_nat > set_Pr1725653840tv_nat > $o ).
thf(func_def_190,type,
member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).
thf(func_def_191,type,
member1592865093lle_fm: produc1250255278lle_fm > set_Pr1475944804lle_fm > $o ).
thf(func_def_192,type,
member1339857875lle_tv: produc1720769084lle_tv > set_Pr698334450lle_tv > $o ).
thf(func_def_193,type,
f: nat > nat ).
thf(func_def_194,type,
i: list_char > paraco1605129243lle_tv ).
thf(func_def_195,type,
p1: paraco1604210848lle_fm ).
thf(func_def_196,type,
p2: paraco1604210848lle_fm ).
thf(func_def_208,type,
sK0: ( nat > nat ) > nat ).
thf(func_def_209,type,
sK1: ( nat > nat ) > nat ).
thf(func_def_210,type,
sK2: paraco1605129243lle_tv > paraco1605129243lle_tv > $o ).
thf(func_def_211,type,
sK3: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv > nat ).
thf(func_def_212,type,
sK4: ( nat > nat ) > nat ).
thf(func_def_213,type,
sK5: ( nat > nat ) > nat ).
thf(func_def_215,type,
ph7:
!>[X0: $tType] : X0 ).
thf(f932,plain,
$false,
inference(trivial_inequality_removal,[],[f931]) ).
thf(f931,plain,
$false = $true,
inference(equality_resolution,[],[f926]) ).
thf(f926,plain,
! [X0: $o] :
( ( ( paraco1344940915le_Det @ X0 )
!= ( paraco1344940915le_Det @ $false ) )
| ( $true = X0 ) ),
inference(superposition,[],[f910,f925]) ).
thf(f925,plain,
( ( paraco1344940915le_Det @ $true )
= ( paraco1344940915le_Det @ $false ) ),
inference(forward_demodulation,[],[f893,f894]) ).
thf(f894,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ $false ) ),
inference(cnf_transformation,[],[f629]) ).
thf(f629,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ $false ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,axiom,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_b) ).
thf(f893,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
inference(cnf_transformation,[],[f852]) ).
thf(f852,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
inference(flattening,[],[f642]) ).
thf(f642,plain,
~ ( ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
!= ( paraco1344940915le_Det @ $true ) ) ),
inference(fool_elimination,[],[f359]) ).
thf(f359,negated_conjecture,
~ ( ( ( paraco1344940915le_Det @ $true )
!= ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 ) ) ),
inference(negated_conjecture,[],[f358]) ).
thf(f358,conjecture,
( ( paraco1344940915le_Det @ $true )
!= ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f910,plain,
! [X0: $o,X1: $o] :
( ( ( paraco1344940915le_Det @ X0 )
!= ( paraco1344940915le_Det @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f876]) ).
thf(f876,plain,
! [X0: $o,X1: $o] :
( ( ( X0 = X1 )
| ( ( paraco1344940915le_Det @ X0 )
!= ( paraco1344940915le_Det @ X1 ) ) )
& ( ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) )
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f382]) ).
thf(f382,plain,
! [X0: $o,X1: $o] :
( ( X0 = X1 )
<=> ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) ) ),
inference(fool_elimination,[],[f381]) ).
thf(f381,plain,
! [X0: $o,X1: $o] :
( ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) )
= ( X0 = X1 ) ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X1: $o,X0: $o] :
( ( ( paraco1344940915le_Det @ X0 )
= ( paraco1344940915le_Det @ X1 ) )
= ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_tv_Oinject_I1_J) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP136^1 : TPTP v8.2.0. Released v7.5.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n021.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat May 18 16:59:08 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 % (20841)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)
% 0.15/0.39 % (20841)Instruction limit reached!
% 0.15/0.39 % (20841)------------------------------
% 0.15/0.39 % (20841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (20841)Termination reason: Unknown
% 0.15/0.39 % (20841)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (20841)Memory used [KB]: 1535
% 0.15/0.39 % (20841)Time elapsed: 0.004 s
% 0.15/0.39 % (20841)Instructions burned: 4 (million)
% 0.15/0.39 % (20841)------------------------------
% 0.15/0.39 % (20841)------------------------------
% 0.15/0.39 % (20837)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39 % (20839)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)
% 0.15/0.39 % (20838)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)
% 0.15/0.39 % (20840)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (20842)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)
% 0.15/0.39 % (20843)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39 % (20844)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)
% 0.15/0.39 % (20840)Instruction limit reached!
% 0.15/0.39 % (20840)------------------------------
% 0.15/0.39 % (20840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (20840)Termination reason: Unknown
% 0.15/0.39 % (20840)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (20840)Memory used [KB]: 1535
% 0.15/0.39 % (20840)Time elapsed: 0.003 s
% 0.15/0.39 % (20840)Instructions burned: 2 (million)
% 0.15/0.39 % (20840)------------------------------
% 0.15/0.39 % (20840)------------------------------
% 0.15/0.39 % (20838)Instruction limit reached!
% 0.15/0.39 % (20838)------------------------------
% 0.15/0.39 % (20838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (20838)Termination reason: Unknown
% 0.15/0.39 % (20838)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (20838)Memory used [KB]: 1535
% 0.15/0.39 % (20838)Time elapsed: 0.004 s
% 0.15/0.39 % (20838)Instructions burned: 4 (million)
% 0.15/0.39 % (20838)------------------------------
% 0.15/0.39 % (20838)------------------------------
% 0.15/0.39 % (20844)Instruction limit reached!
% 0.15/0.39 % (20844)------------------------------
% 0.15/0.39 % (20844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (20844)Termination reason: Unknown
% 0.15/0.39 % (20844)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (20844)Memory used [KB]: 1535
% 0.15/0.39 % (20844)Time elapsed: 0.004 s
% 0.15/0.39 % (20844)Instructions burned: 3 (million)
% 0.15/0.39 % (20844)------------------------------
% 0.15/0.39 % (20844)------------------------------
% 0.15/0.40 % (20845)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)
% 0.21/0.40 % (20843)Instruction limit reached!
% 0.21/0.40 % (20843)------------------------------
% 0.21/0.40 % (20843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (20843)Termination reason: Unknown
% 0.21/0.40 % (20843)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (20843)Memory used [KB]: 1918
% 0.21/0.40 % (20843)Time elapsed: 0.014 s
% 0.21/0.40 % (20843)Instructions burned: 19 (million)
% 0.21/0.40 % (20843)------------------------------
% 0.21/0.40 % (20843)------------------------------
% 0.21/0.41 % (20846)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)
% 0.21/0.41 % (20839)Instruction limit reached!
% 0.21/0.41 % (20839)------------------------------
% 0.21/0.41 % (20839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20839)Termination reason: Unknown
% 0.21/0.41 % (20839)Termination phase: Property scanning
% 0.21/0.41 % (20847)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)
% 0.21/0.41
% 0.21/0.41 % (20839)Memory used [KB]: 1918
% 0.21/0.41 % (20839)Time elapsed: 0.019 s
% 0.21/0.41 % (20839)Instructions burned: 28 (million)
% 0.21/0.41 % (20839)------------------------------
% 0.21/0.41 % (20839)------------------------------
% 0.21/0.41 % (20848)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)
% 0.21/0.41 % (20847)Instruction limit reached!
% 0.21/0.41 % (20847)------------------------------
% 0.21/0.41 % (20847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20847)Termination reason: Unknown
% 0.21/0.41 % (20847)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (20847)Memory used [KB]: 1535
% 0.21/0.41 % (20847)Time elapsed: 0.004 s
% 0.21/0.41 % (20847)Instructions burned: 3 (million)
% 0.21/0.41 % (20847)------------------------------
% 0.21/0.41 % (20847)------------------------------
% 0.21/0.42 % (20845)Instruction limit reached!
% 0.21/0.42 % (20845)------------------------------
% 0.21/0.42 % (20845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20845)Termination reason: Unknown
% 0.21/0.42 % (20845)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (20845)Memory used [KB]: 2302
% 0.21/0.42 % (20845)Time elapsed: 0.017 s
% 0.21/0.42 % (20845)Instructions burned: 39 (million)
% 0.21/0.42 % (20845)------------------------------
% 0.21/0.42 % (20845)------------------------------
% 0.21/0.42 % (20846)Instruction limit reached!
% 0.21/0.42 % (20846)------------------------------
% 0.21/0.42 % (20846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20846)Termination reason: Unknown
% 0.21/0.42 % (20846)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (20846)Memory used [KB]: 1918
% 0.21/0.42 % (20846)Time elapsed: 0.012 s
% 0.21/0.42 % (20846)Instructions burned: 15 (million)
% 0.21/0.42 % (20846)------------------------------
% 0.21/0.42 % (20846)------------------------------
% 0.21/0.42 % (20842)First to succeed.
% 0.21/0.42 % (20849)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (20842)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (20842)------------------------------
% 0.21/0.42 % (20842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20842)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (20842)Memory used [KB]: 6652
% 0.21/0.42 % (20842)Time elapsed: 0.030 s
% 0.21/0.42 % (20842)Instructions burned: 43 (million)
% 0.21/0.42 % (20842)------------------------------
% 0.21/0.42 % (20842)------------------------------
% 0.21/0.42 % (20836)Success in time 0.052 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------