TSTP Solution File: ITP135^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP135^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Sun May 5 07:04:10 EDT 2024
% Result : Theorem 0.23s 0.55s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 391
% Syntax : Number of formulae : 404 ( 17 unt; 387 typ; 0 def)
% Number of atoms : 113 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 6 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 23 ( 22 usr)
% Number of type conns : 882 ( 881 >; 1 *; 0 +; 0 <<)
% Number of symbols : 347 ( 344 usr; 25 con; 0-6 aty)
% Number of variables : 15 ( 0 ^ 0 !; 0 ?; 15 :)
% ( 15 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $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_Pr2120184979lle_fm: $tType ).
thf(type_def_19,type,
set_Pr560526279lle_tv: $tType ).
thf(type_def_20,type,
set_Pr1723822845lle_tv: $tType ).
thf(type_def_21,type,
set_Pr840833727at_nat: $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,
produc696645085lle_fm: $tType ).
thf(type_def_26,type,
produc1443694919lle_tv: $tType ).
thf(type_def_27,type,
produc596913417at_nat: $tType ).
thf(func_def_0,type,
set_Pr1723822845lle_tv: $tType ).
thf(func_def_1,type,
set_Pr2120184979lle_fm: $tType ).
thf(func_def_2,type,
produc1443694919lle_tv: $tType ).
thf(func_def_3,type,
produc696645085lle_fm: $tType ).
thf(func_def_4,type,
set_Pr2014382200lle_tv: $tType ).
thf(func_def_5,type,
set_Pr840833727at_nat: $tType ).
thf(func_def_6,type,
set_Pr560526279lle_tv: $tType ).
thf(func_def_7,type,
produc1647334210lle_tv: $tType ).
thf(func_def_8,type,
produc596913417at_nat: $tType ).
thf(func_def_9,type,
produc931990033lle_tv: $tType ).
thf(func_def_10,type,
set_Pr1725653840tv_nat: $tType ).
thf(func_def_11,type,
set_Pr13445366lle_tv: $tType ).
thf(func_def_12,type,
produc194167194tv_nat: $tType ).
thf(func_def_13,type,
produc270694976lle_tv: $tType ).
thf(func_def_14,type,
set_Pr1986765409at_nat: $tType ).
thf(func_def_15,type,
set_Pa1764573435lle_tv: $tType ).
thf(func_def_16,type,
product_prod_nat_nat: $tType ).
thf(func_def_17,type,
paraco1605129243lle_tv: $tType ).
thf(func_def_18,type,
paraco1604210848lle_fm: $tType ).
thf(func_def_19,type,
list_char: $tType ).
thf(func_def_20,type,
set_nat: $tType ).
thf(func_def_21,type,
nat: $tType ).
thf(func_def_22,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_23,type,
inj_on1955349912lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > $o ).
thf(func_def_24,type,
inj_on1179712058tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > $o ).
thf(func_def_25,type,
inj_on772319074lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > $o ).
thf(func_def_26,type,
inj_on26176689at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > $o ).
thf(func_def_27,type,
inj_on1745913142lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > $o ).
thf(func_def_28,type,
inj_on552895452tv_nat: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > $o ).
thf(func_def_29,type,
inj_on2112487900lle_tv: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > $o ).
thf(func_def_30,type,
the_inv_into_nat_nat: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_31,type,
the_in452116896lle_tv: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_32,type,
if_Par1134130401lle_tv: $o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_33,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_34,type,
ord_le241064091lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).
thf(func_def_35,type,
ord_le1007985907lle_fm: set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > $o ).
thf(func_def_36,type,
ord_le1784136743lle_tv: set_Pr560526279lle_tv > set_Pr560526279lle_tv > $o ).
thf(func_def_37,type,
top_top_nat_o: nat > $o ).
thf(func_def_38,type,
top_to1299250770e_tv_o: paraco1605129243lle_tv > $o ).
thf(func_def_39,type,
top_to632227436_nat_o: product_prod_nat_nat > $o ).
thf(func_def_40,type,
top_to1889334367e_tv_o: produc270694976lle_tv > $o ).
thf(func_def_41,type,
top_to900819589_nat_o: produc194167194tv_nat > $o ).
thf(func_def_42,type,
top_top_o: $o ).
thf(func_def_43,type,
top_top_set_nat: set_nat ).
thf(func_def_44,type,
top_to1057771083lle_tv: set_Pa1764573435lle_tv ).
thf(func_def_45,type,
top_to775056195lle_fm: set_Pr2120184979lle_fm ).
thf(func_def_46,type,
top_to449985143lle_tv: set_Pr560526279lle_tv ).
thf(func_def_47,type,
top_to1555900337at_nat: set_Pr1986765409at_nat ).
thf(func_def_48,type,
top_to1411004326lle_tv: set_Pr13445366lle_tv ).
thf(func_def_49,type,
top_to378694061lle_tv: set_Pr1723822845lle_tv ).
thf(func_def_50,type,
top_to730292591at_nat: set_Pr840833727at_nat ).
thf(func_def_51,type,
top_to975729152tv_nat: set_Pr1725653840tv_nat ).
thf(func_def_52,type,
top_to1871154984lle_tv: set_Pr2014382200lle_tv ).
thf(func_def_53,type,
paraco761681009ge_int: ( nat > nat ) > ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).
thf(func_def_54,type,
paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_55,type,
paraco1632582009tv_rel: produc931990033lle_tv > produc931990033lle_tv > $o ).
thf(func_def_56,type,
paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
thf(func_def_57,type,
paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_58,type,
paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_59,type,
paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_60,type,
paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_61,type,
paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).
thf(func_def_62,type,
paraco367965286_Truth: paraco1604210848lle_fm ).
thf(func_def_63,type,
paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
thf(func_def_64,type,
paraco793048302_Indet: nat > paraco1605129243lle_tv ).
thf(func_def_65,type,
paraco2051596139lle_tv: ( $o > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(func_def_66,type,
paraco327635598_valid: paraco1604210848lle_fm > $o ).
thf(func_def_67,type,
paraco55203475lid_in: set_nat > paraco1604210848lle_fm > $o ).
thf(func_def_68,type,
produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).
thf(func_def_69,type,
produc1680557635lle_tv: ( nat > nat ) > paraco1605129243lle_tv > produc931990033lle_tv ).
thf(func_def_70,type,
produc1943344577lle_tv: paraco1604210848lle_fm > ( list_char > paraco1605129243lle_tv ) > produc1443694919lle_tv ).
thf(func_def_71,type,
produc1633679363at_nat: paraco1605129243lle_tv > ( nat > nat ) > produc596913417at_nat ).
thf(func_def_72,type,
produc1942165868lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_73,type,
produc939316703lle_tv: ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(func_def_74,type,
produc1807466521lle_tv: ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_75,type,
produc109093078at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(func_def_76,type,
produc234482697lle_tv: paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv ).
thf(func_def_77,type,
produc275353523e_fm_o: ( produc696645085lle_fm > $o ) > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > $o ).
thf(func_def_78,type,
produc752649287e_tv_o: ( produc931990033lle_tv > $o ) > ( nat > nat ) > paraco1605129243lle_tv > $o ).
thf(func_def_79,type,
produc1900967599lle_fm: ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > produc696645085lle_fm > produc696645085lle_fm ).
thf(func_def_80,type,
produc1566550641lle_tv: ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > produc696645085lle_fm > produc931990033lle_tv ).
thf(func_def_81,type,
produc951033137lle_fm: ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > produc931990033lle_tv > produc696645085lle_fm ).
thf(func_def_82,type,
produc532909085lle_tv: ( ( nat > nat ) > nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc931990033lle_tv > produc931990033lle_tv ).
thf(func_def_83,type,
produc505105722at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_84,type,
produc313957681lle_tv: ( nat > nat ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc270694976lle_tv ).
thf(func_def_85,type,
produc1685803475tv_nat: ( nat > nat ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > product_prod_nat_nat ).
thf(func_def_86,type,
produc2101297531lle_tv: ( nat > nat ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc270694976lle_tv ).
thf(func_def_87,type,
produc1250721397at_nat: ( nat > paraco1605129243lle_tv ) > ( nat > nat ) > product_prod_nat_nat > produc194167194tv_nat ).
thf(func_def_88,type,
produc210389789lle_tv: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > product_prod_nat_nat > produc1647334210lle_tv ).
thf(func_def_89,type,
produc189459613tv_nat: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > produc270694976lle_tv > produc194167194tv_nat ).
thf(func_def_90,type,
produc1975500101lle_tv: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc270694976lle_tv > produc1647334210lle_tv ).
thf(func_def_91,type,
produc386540311at_nat: ( paraco1605129243lle_tv > nat ) > ( nat > nat ) > produc194167194tv_nat > product_prod_nat_nat ).
thf(func_def_92,type,
produc72207551lle_tv: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > produc194167194tv_nat > produc270694976lle_tv ).
thf(func_def_93,type,
produc42536895at_nat: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( nat > nat ) > produc194167194tv_nat > produc194167194tv_nat ).
thf(func_def_94,type,
produc1345917071lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > produc1647334210lle_tv > produc1647334210lle_tv ).
thf(func_def_95,type,
produc29804011lle_fm: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_96,type,
produc1636169559lle_tv: produc931990033lle_tv > nat > nat ).
thf(func_def_97,type,
produc262413013lle_tv: produc1443694919lle_tv > paraco1604210848lle_fm ).
thf(func_def_98,type,
produc1589291287at_nat: produc596913417at_nat > paraco1605129243lle_tv ).
thf(func_def_99,type,
produc148705065lle_fm: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_100,type,
produc547496597lle_tv: produc931990033lle_tv > paraco1605129243lle_tv ).
thf(func_def_101,type,
produc381314067lle_tv: produc1443694919lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_102,type,
produc500618325at_nat: produc596913417at_nat > nat > nat ).
thf(func_def_103,type,
produc1000205111lle_fm: produc696645085lle_fm > produc1443694919lle_tv ).
thf(func_def_104,type,
produc225513635lle_tv: produc931990033lle_tv > produc596913417at_nat ).
thf(func_def_105,type,
produc1232814113lle_tv: produc1443694919lle_tv > produc696645085lle_fm ).
thf(func_def_106,type,
produc178635363at_nat: produc596913417at_nat > produc931990033lle_tv ).
thf(func_def_107,type,
inv_image_nat_nat: set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).
thf(func_def_108,type,
inv_im1292588663lle_tv: set_Pr1986765409at_nat > ( paraco1605129243lle_tv > nat ) > set_Pr2014382200lle_tv ).
thf(func_def_109,type,
inv_im516950809tv_nat: set_Pr2014382200lle_tv > ( nat > paraco1605129243lle_tv ) > set_Pr1986765409at_nat ).
thf(func_def_110,type,
inv_im719552961lle_tv: set_Pr2014382200lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pr2014382200lle_tv ).
thf(func_def_111,type,
total_on_nat: set_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_112,type,
total_1781621663lle_tv: set_Pa1764573435lle_tv > set_Pr2014382200lle_tv > $o ).
thf(func_def_113,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_114,type,
collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).
thf(func_def_115,type,
collec835549234lle_fm: ( produc696645085lle_fm > $o ) > set_Pr2120184979lle_fm ).
thf(func_def_116,type,
collec1624074086lle_tv: ( produc931990033lle_tv > $o ) > set_Pr560526279lle_tv ).
thf(func_def_117,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(func_def_118,type,
collec924990229lle_tv: ( produc270694976lle_tv > $o ) > set_Pr13445366lle_tv ).
thf(func_def_119,type,
collec1582599068lle_tv: ( produc1443694919lle_tv > $o ) > set_Pr1723822845lle_tv ).
thf(func_def_120,type,
collec1288997470at_nat: ( produc596913417at_nat > $o ) > set_Pr840833727at_nat ).
thf(func_def_121,type,
collec848462447tv_nat: ( produc194167194tv_nat > $o ) > set_Pr1725653840tv_nat ).
thf(func_def_122,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_123,type,
image_1151963140lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > set_Pa1764573435lle_tv ).
thf(func_def_124,type,
image_376325286tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > set_nat ).
thf(func_def_125,type,
image_335818702lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).
thf(func_def_126,type,
image_807538418lle_fm: ( produc696645085lle_fm > produc696645085lle_fm ) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm ).
thf(func_def_127,type,
image_1154804148lle_tv: ( produc696645085lle_fm > produc931990033lle_tv ) > set_Pr2120184979lle_fm > set_Pr560526279lle_tv ).
thf(func_def_128,type,
image_924970994lle_tv: ( produc696645085lle_fm > produc1443694919lle_tv ) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv ).
thf(func_def_129,type,
image_1585092542lle_fm: ( produc931990033lle_tv > produc696645085lle_fm ) > set_Pr560526279lle_tv > set_Pr2120184979lle_fm ).
thf(func_def_130,type,
image_1751508608lle_tv: ( produc931990033lle_tv > produc931990033lle_tv ) > set_Pr560526279lle_tv > set_Pr560526279lle_tv ).
thf(func_def_131,type,
image_1724396928at_nat: ( produc931990033lle_tv > produc596913417at_nat ) > set_Pr560526279lle_tv > set_Pr840833727at_nat ).
thf(func_def_132,type,
image_815163717at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).
thf(func_def_133,type,
image_1674248956lle_tv: ( product_prod_nat_nat > produc270694976lle_tv ) > set_Pr1986765409at_nat > set_Pr13445366lle_tv ).
thf(func_def_134,type,
image_1597721174tv_nat: ( product_prod_nat_nat > produc194167194tv_nat ) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat ).
thf(func_def_135,type,
image_1507992062lle_tv: ( product_prod_nat_nat > produc1647334210lle_tv ) > set_Pr1986765409at_nat > set_Pr2014382200lle_tv ).
thf(func_def_136,type,
image_1787705850at_nat: ( produc270694976lle_tv > product_prod_nat_nat ) > set_Pr13445366lle_tv > set_Pr1986765409at_nat ).
thf(func_def_137,type,
image_149830562lle_tv: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > set_Pr13445366lle_tv ).
thf(func_def_138,type,
image_53754658tv_nat: ( produc270694976lle_tv > produc194167194tv_nat ) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat ).
thf(func_def_139,type,
image_988201162lle_tv: ( produc270694976lle_tv > produc1647334210lle_tv ) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv ).
thf(func_def_140,type,
image_326034184lle_fm: ( produc1443694919lle_tv > produc696645085lle_fm ) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm ).
thf(func_def_141,type,
image_769496456lle_tv: ( produc596913417at_nat > produc931990033lle_tv ) > set_Pr840833727at_nat > set_Pr560526279lle_tv ).
thf(func_def_142,type,
image_1805124128at_nat: ( produc194167194tv_nat > product_prod_nat_nat ) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat ).
thf(func_def_143,type,
image_1200372424lle_tv: ( produc194167194tv_nat > produc270694976lle_tv ) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv ).
thf(func_def_144,type,
accp_P2085826120lle_tv: ( produc931990033lle_tv > produc931990033lle_tv > $o ) > produc931990033lle_tv > $o ).
thf(func_def_145,type,
member_nat: nat > set_nat > $o ).
thf(func_def_146,type,
member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).
thf(func_def_147,type,
member1474794996lle_fm: produc696645085lle_fm > set_Pr2120184979lle_fm > $o ).
thf(func_def_148,type,
member1569366824lle_tv: produc931990033lle_tv > set_Pr560526279lle_tv > $o ).
thf(func_def_149,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_150,type,
member813679063lle_tv: produc270694976lle_tv > set_Pr13445366lle_tv > $o ).
thf(func_def_151,type,
member74361182lle_tv: produc1443694919lle_tv > set_Pr1723822845lle_tv > $o ).
thf(func_def_152,type,
member1234290208at_nat: produc596913417at_nat > set_Pr840833727at_nat > $o ).
thf(func_def_153,type,
member737151281tv_nat: produc194167194tv_nat > set_Pr1725653840tv_nat > $o ).
thf(func_def_154,type,
member1531318361lle_tv: produc1647334210lle_tv > set_Pr2014382200lle_tv > $o ).
thf(func_def_155,type,
f: nat > nat ).
thf(func_def_156,type,
i: list_char > paraco1605129243lle_tv ).
thf(func_def_157,type,
p1: paraco1604210848lle_fm ).
thf(func_def_158,type,
p2: paraco1604210848lle_fm ).
thf(func_def_162,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_163,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_164,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_165,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_166,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_167,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_168,type,
vIMP: $o > $o > $o ).
thf(func_def_169,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_170,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_171,type,
vAND: $o > $o > $o ).
thf(func_def_172,type,
vNOT: $o > $o ).
thf(func_def_173,type,
vOR: $o > $o > $o ).
thf(func_def_174,type,
sP0: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_175,type,
sP1: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_176,type,
sP2: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_177,type,
sP3: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_178,type,
sP4: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_179,type,
sP5: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_180,type,
sP6: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1604210848lle_fm > $o ).
thf(func_def_181,type,
sP7: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > $o ).
thf(func_def_182,type,
sK8: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_183,type,
sK9: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_184,type,
sK10: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_185,type,
sK11: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_186,type,
sK12: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_187,type,
sK13: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_188,type,
sK14: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_189,type,
sK15: paraco1604210848lle_fm > list_char ).
thf(func_def_190,type,
sK16: paraco1605129243lle_tv > nat ).
thf(func_def_191,type,
sK17: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_192,type,
sK18: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_193,type,
sK19: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_194,type,
sK20: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_195,type,
sK21: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_196,type,
sK22: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_197,type,
sK23: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_198,type,
sK24: paraco1604210848lle_fm > list_char ).
thf(func_def_199,type,
sK25: paraco1605129243lle_tv > nat ).
thf(func_def_200,type,
sK26: paraco1605129243lle_tv > $o ).
thf(func_def_201,type,
sK27: set_Pr840833727at_nat > produc596913417at_nat ).
thf(func_def_202,type,
sK28: set_Pr1723822845lle_tv > produc1443694919lle_tv ).
thf(func_def_203,type,
sK29: set_Pr2120184979lle_fm > produc696645085lle_fm ).
thf(func_def_204,type,
sK30: set_Pr560526279lle_tv > produc931990033lle_tv ).
thf(func_def_205,type,
sK31: set_Pr1725653840tv_nat > produc194167194tv_nat ).
thf(func_def_206,type,
sK32: set_Pr13445366lle_tv > produc270694976lle_tv ).
thf(func_def_207,type,
sK33: set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_208,type,
sK34: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_209,type,
sK35: set_nat > nat ).
thf(func_def_210,type,
sK36: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_211,type,
sK37: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_212,type,
sK38: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_213,type,
sK39: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_214,type,
sK40: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_215,type,
sK41: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_216,type,
sK42: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_217,type,
sK43: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_218,type,
sK44: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_219,type,
sK45: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_220,type,
sK46: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_221,type,
sK47: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_222,type,
sK48: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_223,type,
sK49: produc696645085lle_fm > list_char ).
thf(func_def_224,type,
sK50: produc931990033lle_tv > nat > nat ).
thf(func_def_225,type,
sK51: produc931990033lle_tv > nat ).
thf(func_def_226,type,
sK52: produc931990033lle_tv > nat > nat ).
thf(func_def_227,type,
sK53: produc931990033lle_tv > $o ).
thf(func_def_228,type,
sK54: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).
thf(func_def_229,type,
sK55: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).
thf(func_def_230,type,
sK56: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).
thf(func_def_231,type,
sK57: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).
thf(func_def_232,type,
sK58: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).
thf(func_def_233,type,
sK59: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).
thf(func_def_234,type,
sK60: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_235,type,
sK61: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_236,type,
sK62: ( nat > nat ) > nat ).
thf(func_def_237,type,
sK63: ( nat > nat ) > nat ).
thf(func_def_238,type,
sK64: ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_239,type,
sK65: ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_240,type,
sK66: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_241,type,
sK67: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_242,type,
sK68: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_243,type,
sK69: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_244,type,
sK70: produc931990033lle_tv > nat > nat ).
thf(func_def_245,type,
sK71: produc931990033lle_tv > paraco1605129243lle_tv ).
thf(func_def_246,type,
sK72: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_247,type,
sK73: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_248,type,
sK74: produc931990033lle_tv > nat > nat ).
thf(func_def_249,type,
sK75: produc931990033lle_tv > paraco1605129243lle_tv ).
thf(func_def_250,type,
sK76: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_251,type,
sK77: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_252,type,
sK78: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_253,type,
sK79: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_254,type,
sK80: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).
thf(func_def_255,type,
sK81: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).
thf(func_def_256,type,
sK82: nat > ( nat > nat ) > nat ).
thf(func_def_257,type,
sK83: nat > ( nat > nat ) > nat ).
thf(func_def_258,type,
sK84: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_259,type,
sK85: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_260,type,
sK86: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_261,type,
sK87: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_262,type,
sK88: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > nat ).
thf(func_def_263,type,
sK89: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_264,type,
sK90: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_265,type,
sK91: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_266,type,
sK92: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_267,type,
sK93: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_268,type,
sK94: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_269,type,
sK95: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_270,type,
sK96: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_271,type,
sK97: ( paraco1604210848lle_fm > $o ) > list_char ).
thf(func_def_272,type,
sK98: ( paraco1605129243lle_tv > $o ) > nat ).
thf(func_def_273,type,
sK99: ( paraco1605129243lle_tv > $o ) > $o ).
thf(func_def_274,type,
sK100: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).
thf(func_def_275,type,
sK101: ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).
thf(func_def_276,type,
sK102: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).
thf(func_def_277,type,
sK103: ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).
thf(func_def_278,type,
sK104: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).
thf(func_def_279,type,
sK105: ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).
thf(func_def_280,type,
sK106: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_281,type,
sK107: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_282,type,
sK108: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_283,type,
sK109: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_284,type,
sK110: ( nat > nat ) > set_nat > nat ).
thf(func_def_285,type,
sK111: ( nat > nat ) > set_nat > nat ).
thf(func_def_286,type,
sK112: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).
thf(func_def_287,type,
sK113: ( nat > paraco1605129243lle_tv ) > set_nat > nat ).
thf(func_def_288,type,
sK114: set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_289,type,
sK115: set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > paraco1604210848lle_fm ).
thf(func_def_290,type,
sK116: set_Pr560526279lle_tv > set_Pr560526279lle_tv > nat > nat ).
thf(func_def_291,type,
sK117: set_Pr560526279lle_tv > set_Pr560526279lle_tv > paraco1605129243lle_tv ).
thf(func_def_292,type,
sK118: ( produc696645085lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_293,type,
sK119: ( produc696645085lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_294,type,
sK120: ( produc696645085lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_295,type,
sK121: ( produc696645085lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_296,type,
sK122: ( produc931990033lle_tv > $o ) > nat > nat ).
thf(func_def_297,type,
sK123: ( produc931990033lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_298,type,
sK124: ( produc931990033lle_tv > $o ) > nat > nat ).
thf(func_def_299,type,
sK125: ( produc931990033lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_300,type,
sK126: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_301,type,
sK127: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_302,type,
sK128: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_303,type,
sK129: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_304,type,
sK130: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_305,type,
sK131: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_306,type,
sK132: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_307,type,
sK133: ( paraco1604210848lle_fm > $o ) > list_char ).
thf(func_def_308,type,
sK134: ( paraco1605129243lle_tv > $o ) > nat ).
thf(func_def_309,type,
sK135: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > nat ).
thf(func_def_310,type,
sK136: paraco1605129243lle_tv > paraco1605129243lle_tv > $o ).
thf(func_def_311,type,
sK137: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > $o ).
thf(func_def_312,type,
sK138: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > nat ).
thf(func_def_313,type,
sK139: ( produc1647334210lle_tv > produc1647334210lle_tv ) > ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).
thf(func_def_314,type,
sK140: ( produc1647334210lle_tv > produc1647334210lle_tv ) > ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).
thf(func_def_315,type,
sK141: ( produc194167194tv_nat > produc194167194tv_nat ) > ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).
thf(func_def_316,type,
sK142: ( produc194167194tv_nat > produc194167194tv_nat ) > ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).
thf(func_def_317,type,
sK143: ( produc270694976lle_tv > produc270694976lle_tv ) > ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).
thf(func_def_318,type,
sK144: ( produc270694976lle_tv > produc270694976lle_tv ) > ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).
thf(func_def_319,type,
sK145: ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_320,type,
sK146: ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_321,type,
sK147: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_322,type,
sK148: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_323,type,
sK149: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_324,type,
sK150: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_325,type,
sK151: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_326,type,
sK152: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > set_nat > nat ).
thf(func_def_327,type,
sK153: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_328,type,
sK154: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > set_nat > nat ).
thf(func_def_329,type,
sK155: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_330,type,
sK156: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_331,type,
sK157: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat > nat ).
thf(func_def_332,type,
sK158: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat ).
thf(func_def_333,type,
sK159: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat > nat ).
thf(func_def_334,type,
sK160: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > $o ).
thf(func_def_335,type,
sK161: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_336,type,
sK162: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_337,type,
sK163: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > nat > nat ).
thf(func_def_338,type,
sK164: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > paraco1605129243lle_tv ).
thf(func_def_339,type,
sK165: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > produc931990033lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_340,type,
sK166: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > produc931990033lle_tv > paraco1604210848lle_fm ).
thf(func_def_341,type,
sK167: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > nat > nat ).
thf(func_def_342,type,
sK168: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > paraco1605129243lle_tv ).
thf(func_def_343,type,
sK169: produc596913417at_nat ).
thf(func_def_344,type,
sK170: produc1443694919lle_tv ).
thf(func_def_345,type,
sK171: produc696645085lle_fm ).
thf(func_def_346,type,
sK172: produc931990033lle_tv ).
thf(func_def_347,type,
sK173: produc194167194tv_nat ).
thf(func_def_348,type,
sK174: produc270694976lle_tv ).
thf(func_def_349,type,
sK175: product_prod_nat_nat ).
thf(func_def_350,type,
sK176: paraco1605129243lle_tv ).
thf(func_def_351,type,
sK177: nat ).
thf(func_def_353,type,
sK179: ( nat > nat ) > set_nat > set_nat > set_nat ).
thf(func_def_354,type,
sK180: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).
thf(func_def_355,type,
sK181: nat > ( nat > nat ) > nat ).
thf(func_def_356,type,
sK182: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_357,type,
sK183: ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_358,type,
sK184: ( nat > nat ) > nat ).
thf(func_def_359,type,
sK185: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_360,type,
sK186: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_361,type,
sK187: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).
thf(func_def_362,type,
sK188: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).
thf(func_def_363,type,
sK189: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).
thf(func_def_364,type,
sK190: ( nat > nat ) > nat ).
thf(func_def_365,type,
sK191: ( paraco1605129243lle_tv > nat ) > nat ).
thf(func_def_366,type,
sK192: ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_367,type,
sK193: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(f2418,plain,
$false,
inference(subsumption_resolution,[],[f2417,f1504]) ).
thf(f1504,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(cnf_transformation,[],[f869]) ).
thf(f869,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(flattening,[],[f363]) ).
thf(f363,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(fool_elimination,[],[f360]) ).
thf(f360,negated_conjecture,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(negated_conjecture,[],[f359]) ).
thf(f359,conjecture,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f2417,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(backward_demodulation,[],[f2414,f2416]) ).
thf(f2416,plain,
vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) = vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true)),
inference(forward_demodulation,[],[f1536,f1535]) ).
thf(f1535,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(cnf_transformation,[],[f405]) ).
thf(f405,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_a) ).
thf(f1536,plain,
vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(cnf_transformation,[],[f406]) ).
thf(f406,plain,
vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(fool_elimination,[],[f2]) ).
thf(f2,axiom,
vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_ATrue_092_060close_062) ).
thf(f2414,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2) = vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true)),
inference(backward_demodulation,[],[f1512,f1535]) ).
thf(f1512,plain,
vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)) = vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2),
inference(cnf_transformation,[],[f3]) ).
thf(f3,axiom,
vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)) = vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv),vAPP(sTfun(nat,nat),sTfun(sTfun(list_char,paraco1605129243lle_tv),sTfun(list_char,paraco1605129243lle_tv)),paraco761681009ge_int,f),i)),p2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_ih2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP135^1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:06:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (4797)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.41 % (4814)WARNING: value z3 for option sas not known
% 0.23/0.41 % (4812)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.41 % (4815)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.41 % (4813)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.41 % (4814)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)
% 0.23/0.41 % (4817)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)
% 0.23/0.41 % (4819)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)
% 0.23/0.41 % (4818)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)
% 0.23/0.45 % (4819)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.46 % Exception at run slice level
% 0.23/0.46 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.48 % (4860)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.23/0.48 % (4864)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 % (4865)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)
% 0.23/0.52 % (4860)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.52 % (4864)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.53 % Exception at run slice level
% 0.23/0.53 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.23/0.54 % (4904)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)
% 0.23/0.55 % (4865)First to succeed.
% 0.23/0.55 % (4865)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4797"
% 0.23/0.55 % (4865)Refutation found. Thanks to Tanya!
% 0.23/0.55 % SZS status Theorem for theBenchmark
% 0.23/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.55 % (4865)------------------------------
% 0.23/0.55 % (4865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.55 % (4865)Termination reason: Refutation
% 0.23/0.55
% 0.23/0.55 % (4865)Memory used [KB]: 2720
% 0.23/0.55 % (4865)Time elapsed: 0.068 s
% 0.23/0.55 % (4865)Instructions burned: 182 (million)
% 0.23/0.55 % (4797)Success in time 0.18 s
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