TSTP Solution File: ITP136^1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP136^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 22:53:04 EDT 2024
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 520
% Syntax : Number of formulae : 687 ( 181 unt; 427 typ; 0 def)
% Number of atoms : 1060 ( 211 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 198 ( 105 ~; 39 |; 0 &; 0 @)
% ( 48 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 37 ( 36 usr)
% Number of type conns : 908 ( 907 >; 1 *; 0 +; 0 <<)
% Number of symbols : 408 ( 405 usr; 73 con; 0-6 aty)
% Number of variables : 240 ( 4 ^ 221 !; 0 ?; 240 :)
% ( 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_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_54,type,
top_top_o: $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_200,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_201,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_202,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_203,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_204,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_205,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_206,type,
vIMP: $o > $o > $o ).
thf(func_def_207,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_208,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_209,type,
vAND: $o > $o > $o ).
thf(func_def_210,type,
vNOT: $o > $o ).
thf(func_def_211,type,
vOR: $o > $o > $o ).
thf(func_def_212,type,
sP0: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_213,type,
sP1: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_214,type,
sP2: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_215,type,
sP3: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_216,type,
sP4: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_217,type,
sP5: ( paraco1604210848lle_fm > $o ) > $o ).
thf(func_def_218,type,
sP6: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1604210848lle_fm > $o ).
thf(func_def_219,type,
sP7: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > $o ).
thf(func_def_220,type,
sK8: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_221,type,
sK9: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_222,type,
sK10: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_223,type,
sK11: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_224,type,
sK12: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_225,type,
sK13: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_226,type,
sK14: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_227,type,
sK15: paraco1604210848lle_fm > list_char ).
thf(func_def_228,type,
sK16: paraco1605129243lle_tv > nat ).
thf(func_def_229,type,
sK17: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_230,type,
sK18: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_231,type,
sK19: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_232,type,
sK20: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_233,type,
sK21: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_234,type,
sK22: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_235,type,
sK23: paraco1604210848lle_fm > paraco1604210848lle_fm ).
thf(func_def_236,type,
sK24: paraco1604210848lle_fm > list_char ).
thf(func_def_237,type,
sK25: paraco1605129243lle_tv > nat ).
thf(func_def_238,type,
sK26: paraco1605129243lle_tv > $o ).
thf(func_def_239,type,
sK27: set_Pr1357842111at_nat > produc1281043295at_nat ).
thf(func_def_240,type,
sK28: set_Pr2061825550lle_tv > produc1852595672lle_tv ).
thf(func_def_241,type,
sK29: set_Pr1725653840tv_nat > produc194167194tv_nat ).
thf(func_def_242,type,
sK30: set_Pr13445366lle_tv > produc270694976lle_tv ).
thf(func_def_243,type,
sK31: set_Pr2120184979lle_fm > produc696645085lle_fm ).
thf(func_def_244,type,
sK32: set_Pr560526279lle_tv > produc931990033lle_tv ).
thf(func_def_245,type,
sK33: set_Pr1986765409at_nat > product_prod_nat_nat ).
thf(func_def_246,type,
sK34: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_247,type,
sK35: set_nat > nat ).
thf(func_def_248,type,
sK36: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_249,type,
sK37: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_250,type,
sK38: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_251,type,
sK39: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_252,type,
sK40: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_253,type,
sK41: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_254,type,
sK42: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_255,type,
sK43: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_256,type,
sK44: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_257,type,
sK45: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_258,type,
sK46: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_259,type,
sK47: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_260,type,
sK48: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_261,type,
sK49: produc696645085lle_fm > list_char ).
thf(func_def_262,type,
sK50: produc931990033lle_tv > nat > nat ).
thf(func_def_263,type,
sK51: produc931990033lle_tv > nat ).
thf(func_def_264,type,
sK52: produc931990033lle_tv > nat > nat ).
thf(func_def_265,type,
sK53: produc931990033lle_tv > $o ).
thf(func_def_266,type,
sK54: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).
thf(func_def_267,type,
sK55: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).
thf(func_def_268,type,
sK56: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).
thf(func_def_269,type,
sK57: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).
thf(func_def_270,type,
sK58: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).
thf(func_def_271,type,
sK59: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).
thf(func_def_272,type,
sK60: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_273,type,
sK61: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_274,type,
sK62: ( nat > nat ) > nat ).
thf(func_def_275,type,
sK63: ( nat > nat ) > nat ).
thf(func_def_276,type,
sK64: ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_277,type,
sK65: ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_278,type,
sK66: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_279,type,
sK67: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_280,type,
sK68: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_281,type,
sK69: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_282,type,
sK70: produc931990033lle_tv > nat > nat ).
thf(func_def_283,type,
sK71: produc931990033lle_tv > paraco1605129243lle_tv ).
thf(func_def_284,type,
sK72: produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_285,type,
sK73: produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_286,type,
sK74: produc931990033lle_tv > nat > nat ).
thf(func_def_287,type,
sK75: produc931990033lle_tv > paraco1605129243lle_tv ).
thf(func_def_288,type,
sK76: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_289,type,
sK77: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_290,type,
sK78: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_291,type,
sK79: paraco1605129243lle_tv > ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_292,type,
sK80: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).
thf(func_def_293,type,
sK81: nat > ( paraco1605129243lle_tv > nat ) > paraco1605129243lle_tv ).
thf(func_def_294,type,
sK82: nat > ( nat > nat ) > nat ).
thf(func_def_295,type,
sK83: nat > ( nat > nat ) > nat ).
thf(func_def_296,type,
sK84: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_297,type,
sK85: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_298,type,
sK86: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_299,type,
sK87: ( paraco1605129243lle_tv > nat ) > ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_300,type,
sK88: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > nat ).
thf(func_def_301,type,
sK89: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_302,type,
sK90: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_303,type,
sK91: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_304,type,
sK92: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_305,type,
sK93: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_306,type,
sK94: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_307,type,
sK95: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_308,type,
sK96: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_309,type,
sK97: ( paraco1604210848lle_fm > $o ) > list_char ).
thf(func_def_310,type,
sK98: ( paraco1605129243lle_tv > $o ) > nat ).
thf(func_def_311,type,
sK99: ( paraco1605129243lle_tv > $o ) > $o ).
thf(func_def_312,type,
sK100: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_313,type,
sK101: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_314,type,
sK102: ( nat > nat ) > set_nat > nat ).
thf(func_def_315,type,
sK103: ( nat > nat ) > set_nat > nat ).
thf(func_def_316,type,
sK104: ( produc696645085lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_317,type,
sK105: ( produc696645085lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_318,type,
sK106: ( produc696645085lle_fm > $o ) > list_char > paraco1605129243lle_tv ).
thf(func_def_319,type,
sK107: ( produc696645085lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_320,type,
sK108: ( produc931990033lle_tv > $o ) > nat > nat ).
thf(func_def_321,type,
sK109: ( produc931990033lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_322,type,
sK110: ( produc931990033lle_tv > $o ) > nat > nat ).
thf(func_def_323,type,
sK111: ( produc931990033lle_tv > $o ) > paraco1605129243lle_tv ).
thf(func_def_324,type,
sK112: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_325,type,
sK113: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_326,type,
sK114: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_327,type,
sK115: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_328,type,
sK116: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_329,type,
sK117: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_330,type,
sK118: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).
thf(func_def_331,type,
sK119: ( paraco1604210848lle_fm > $o ) > list_char ).
thf(func_def_332,type,
sK120: ( paraco1605129243lle_tv > $o ) > nat ).
thf(func_def_333,type,
sK121: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > nat ).
thf(func_def_334,type,
sK122: paraco1605129243lle_tv > paraco1605129243lle_tv > $o ).
thf(func_def_335,type,
sK123: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > $o ).
thf(func_def_336,type,
sK124: paraco1605129243lle_tv > paraco1605129243lle_tv > ( nat > nat ) > nat ).
thf(func_def_337,type,
sK125: ( produc194167194tv_nat > produc194167194tv_nat ) > ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).
thf(func_def_338,type,
sK126: ( produc194167194tv_nat > produc194167194tv_nat ) > ( produc194167194tv_nat > produc194167194tv_nat ) > set_Pr1725653840tv_nat > produc194167194tv_nat ).
thf(func_def_339,type,
sK127: ( produc270694976lle_tv > produc270694976lle_tv ) > ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).
thf(func_def_340,type,
sK128: ( produc270694976lle_tv > produc270694976lle_tv ) > ( produc270694976lle_tv > produc270694976lle_tv ) > set_Pr13445366lle_tv > produc270694976lle_tv ).
thf(func_def_341,type,
sK129: ( produc1647334210lle_tv > produc1647334210lle_tv ) > ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).
thf(func_def_342,type,
sK130: ( produc1647334210lle_tv > produc1647334210lle_tv ) > ( produc1647334210lle_tv > produc1647334210lle_tv ) > set_Pr2014382200lle_tv > produc1647334210lle_tv ).
thf(func_def_343,type,
sK131: ( 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_344,type,
sK132: ( 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_345,type,
sK133: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_346,type,
sK134: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_347,type,
sK135: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_348,type,
sK136: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).
thf(func_def_349,type,
sK137: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_350,type,
sK138: ( nat > paraco1605129243lle_tv ) > ( nat > paraco1605129243lle_tv ) > set_nat > nat ).
thf(func_def_351,type,
sK139: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_352,type,
sK140: ( nat > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > nat ) > set_nat > nat ).
thf(func_def_353,type,
sK141: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_354,type,
sK142: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_355,type,
sK143: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat > nat ).
thf(func_def_356,type,
sK144: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat ).
thf(func_def_357,type,
sK145: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > nat > nat ).
thf(func_def_358,type,
sK146: ( ( nat > nat ) > paraco1605129243lle_tv > $o ) > $o ).
thf(func_def_359,type,
sK147: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_360,type,
sK148: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1604210848lle_fm ) > ( ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > paraco1604210848lle_fm ).
thf(func_def_361,type,
sK149: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > nat > nat ).
thf(func_def_362,type,
sK150: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1604210848lle_fm ) > ( ( nat > nat ) > list_char > paraco1605129243lle_tv ) > produc696645085lle_fm > paraco1605129243lle_tv ).
thf(func_def_363,type,
sK151: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > produc931990033lle_tv > list_char > paraco1605129243lle_tv ).
thf(func_def_364,type,
sK152: set_Pr2120184979lle_fm > ( paraco1604210848lle_fm > paraco1605129243lle_tv ) > ( ( list_char > paraco1605129243lle_tv ) > nat > nat ) > produc931990033lle_tv > paraco1604210848lle_fm ).
thf(func_def_365,type,
sK153: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > nat > nat ).
thf(func_def_366,type,
sK154: set_Pr560526279lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( ( nat > nat ) > nat > nat ) > produc931990033lle_tv > paraco1605129243lle_tv ).
thf(func_def_367,type,
sK155: produc1281043295at_nat ).
thf(func_def_368,type,
sK156: produc1852595672lle_tv ).
thf(func_def_369,type,
sK157: produc194167194tv_nat ).
thf(func_def_370,type,
sK158: produc270694976lle_tv ).
thf(func_def_371,type,
sK159: produc696645085lle_fm ).
thf(func_def_372,type,
sK160: produc931990033lle_tv ).
thf(func_def_373,type,
sK161: product_prod_nat_nat ).
thf(func_def_374,type,
sK162: paraco1605129243lle_tv ).
thf(func_def_375,type,
sK163: nat ).
thf(func_def_377,type,
sK165: nat > ( nat > nat ) > nat ).
thf(func_def_378,type,
sK166: paraco1605129243lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_379,type,
sK167: produc931990033lle_tv > ( nat > nat ) > paraco1605129243lle_tv ).
thf(func_def_380,type,
sK168: produc696645085lle_fm > ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm ).
thf(func_def_381,type,
sK169: produc931990033lle_tv > paraco1605129243lle_tv > nat > nat ).
thf(func_def_382,type,
sK170: produc696645085lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv ).
thf(func_def_383,type,
sK171: ( nat > paraco1605129243lle_tv ) > nat ).
thf(func_def_384,type,
sK172: ( nat > nat ) > nat ).
thf(func_def_385,type,
sK173: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_386,type,
sK174: ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_387,type,
sK175: ( produc1647334210lle_tv > produc1647334210lle_tv ) > produc1647334210lle_tv ).
thf(func_def_388,type,
sK176: ( produc270694976lle_tv > produc270694976lle_tv ) > produc270694976lle_tv ).
thf(func_def_389,type,
sK177: ( produc194167194tv_nat > produc194167194tv_nat ) > produc194167194tv_nat ).
thf(func_def_390,type,
sK178: ( nat > nat ) > nat ).
thf(func_def_391,type,
sK179: ( paraco1605129243lle_tv > nat ) > nat ).
thf(func_def_392,type,
sK180: ( nat > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(func_def_393,type,
sK181: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).
thf(f2680,plain,
$false,
inference(avatar_sat_refutation,[],[f2427,f2431,f2463,f2467,f2472,f2479,f2485,f2489,f2494,f2499,f2504,f2509,f2514,f2522,f2528,f2532,f2536,f2542,f2547,f2551,f2555,f2559,f2563,f2567,f2571,f2575,f2579,f2583,f2587,f2591,f2595,f2599,f2603,f2610,f2614,f2618,f2622,f2632,f2636,f2640,f2644,f2648,f2652,f2656,f2661,f2666,f2672,f2678,f2679]) ).
thf(f2679,plain,
spl164_48,
inference(avatar_split_clause,[],[f1500,f2675]) ).
thf(f2675,plain,
( spl164_48
<=> ( vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_48])]) ).
thf(f1500,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false),
inference(cnf_transformation,[],[f391]) ).
thf(f391,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false),
inference(fool_elimination,[],[f5]) ).
thf(f5,axiom,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_a) ).
thf(f2678,plain,
( ~ spl164_48
| ~ spl164_6
| spl164_47 ),
inference(avatar_split_clause,[],[f2673,f2669,f2476,f2675]) ).
thf(f2476,plain,
( spl164_6
<=> ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_6])]) ).
thf(f2669,plain,
( spl164_47
<=> ( vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_47])]) ).
thf(f2673,plain,
( ( vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) )
| ~ spl164_6
| spl164_47 ),
inference(forward_demodulation,[],[f2671,f2478]) ).
thf(f2478,plain,
( ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) )
| ~ spl164_6 ),
inference(avatar_component_clause,[],[f2476]) ).
thf(f2671,plain,
( ( vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) )
| spl164_47 ),
inference(avatar_component_clause,[],[f2669]) ).
thf(f2672,plain,
~ spl164_47,
inference(avatar_split_clause,[],[f1486,f2669]) ).
thf(f1486,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(cnf_transformation,[],[f365]) ).
thf(f365,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2) != vAPP($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,$true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_a_H_H_H) ).
thf(f2666,plain,
~ spl164_46,
inference(avatar_split_clause,[],[f1485,f2663]) ).
thf(f2663,plain,
( spl164_46
<=> ( vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p1) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_46])]) ).
thf(f1485,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(cnf_transformation,[],[f364]) ).
thf(f364,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(fool_elimination,[],[f2]) ).
thf(f2,axiom,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_a_H_H) ).
thf(f2661,plain,
~ spl164_45,
inference(avatar_split_clause,[],[f1484,f2658]) ).
thf(f2658,plain,
( spl164_45
<=> ( vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p1) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_45])]) ).
thf(f1484,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false),
inference(cnf_transformation,[],[f363]) ).
thf(f363,plain,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false),
inference(fool_elimination,[],[f3]) ).
thf(f3,axiom,
vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_a_H_H_H_H) ).
thf(f2656,plain,
spl164_44,
inference(avatar_split_clause,[],[f2304,f2654]) ).
thf(f2654,plain,
( spl164_44
<=> ! [X0: nat,X1: nat] :
( ( vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) = vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0) )
| ( X0 != X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_44])]) ).
thf(f2304,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) = vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0) )
| ( X0 != X1 ) ),
inference(equality_proxy_clausification,[],[f2303]) ).
thf(f2303,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) = vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0) )
| ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) ) ),
inference(equality_proxy_clausification,[],[f2299]) ).
thf(f2299,plain,
! [X0: nat,X1: nat] :
( ( $true = vAPP(paraco1605129243lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(paraco1605129243lle_tv,$o),vEQ(paraco1605129243lle_tv),vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1)),vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0)) )
| ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) ) ),
inference(binary_proxy_clausification,[],[f1616]) ).
thf(f1616,plain,
! [X0: nat,X1: nat] : ( vAPP(paraco1605129243lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(paraco1605129243lle_tv,$o),vEQ(paraco1605129243lle_tv),vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1)),vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0)) = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) ),
inference(cnf_transformation,[],[f528]) ).
thf(f528,plain,
! [X0: nat,X1: nat] : ( vAPP(paraco1605129243lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(paraco1605129243lle_tv,$o),vEQ(paraco1605129243lle_tv),vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1)),vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0)) = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) ),
inference(fool_elimination,[],[f527]) ).
thf(f527,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) = vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0) )
= ( X0 = X1 ) ),
inference(rectify,[],[f181]) ).
thf(f181,axiom,
! [X61: nat,X62: nat] :
( ( vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X61) = vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X62) )
= ( X61 = X62 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_tv_Oinject_I2_J) ).
thf(f2652,plain,
spl164_43,
inference(avatar_split_clause,[],[f1718,f2650]) ).
thf(f2650,plain,
( spl164_43
<=> ! [X2: paraco1604210848lle_fm,X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_43])]) ).
thf(f1718,plain,
! [X2: paraco1604210848lle_fm,X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X1),X2) ),
inference(cnf_transformation,[],[f921]) ).
thf(f921,plain,
! [X0: list_char,X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X1),X2) ),
inference(rectify,[],[f115]) ).
thf(f115,axiom,
! [X0: list_char,X19: paraco1604210848lle_fm,X20: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X19),X20) != vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_fm_Odistinct_I9_J) ).
thf(f2648,plain,
spl164_42,
inference(avatar_split_clause,[],[f1717,f2646]) ).
thf(f2646,plain,
( spl164_42
<=> ! [X2: paraco1604210848lle_fm,X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_42])]) ).
thf(f1717,plain,
! [X2: paraco1604210848lle_fm,X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X1),X2) ),
inference(cnf_transformation,[],[f920]) ).
thf(f920,plain,
! [X0: list_char,X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X1),X2) ),
inference(rectify,[],[f114]) ).
thf(f114,axiom,
! [X0: list_char,X15: paraco1604210848lle_fm,X16: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X15),X16) != vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_fm_Odistinct_I5_J) ).
thf(f2644,plain,
spl164_41,
inference(avatar_split_clause,[],[f1716,f2642]) ).
thf(f2642,plain,
( spl164_41
<=> ! [X2: paraco1604210848lle_fm,X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_41])]) ).
thf(f1716,plain,
! [X2: paraco1604210848lle_fm,X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X1),X2) ),
inference(cnf_transformation,[],[f919]) ).
thf(f919,plain,
! [X0: list_char,X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X1),X2) ),
inference(rectify,[],[f116]) ).
thf(f116,axiom,
! [X0: list_char,X23: paraco1604210848lle_fm,X24: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X23),X24) != vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_fm_Odistinct_I7_J) ).
thf(f2640,plain,
spl164_40,
inference(avatar_split_clause,[],[f1715,f2638]) ).
thf(f2638,plain,
( spl164_40
<=> ! [X2: paraco1604210848lle_fm,X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_40])]) ).
thf(f1715,plain,
! [X2: paraco1604210848lle_fm,X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X1),X2) ),
inference(cnf_transformation,[],[f918]) ).
thf(f918,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X1),X2) ),
inference(rectify,[],[f31]) ).
thf(f31,axiom,
! [X13: paraco1604210848lle_fm,X19: paraco1604210848lle_fm,X20: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X13) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X19),X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_fm_Odistinct_I23_J) ).
thf(f2636,plain,
spl164_39,
inference(avatar_split_clause,[],[f1714,f2634]) ).
thf(f2634,plain,
( spl164_39
<=> ! [X2: paraco1604210848lle_fm,X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_39])]) ).
thf(f1714,plain,
! [X2: paraco1604210848lle_fm,X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X1),X2) ),
inference(cnf_transformation,[],[f917]) ).
thf(f917,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X1),X2) ),
inference(rectify,[],[f33]) ).
thf(f33,axiom,
! [X13: paraco1604210848lle_fm,X15: paraco1604210848lle_fm,X16: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X13) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X15),X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_fm_Odistinct_I19_J) ).
thf(f2632,plain,
spl164_38,
inference(avatar_split_clause,[],[f1713,f2630]) ).
thf(f2630,plain,
( spl164_38
<=> ! [X2: paraco1604210848lle_fm,X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_38])]) ).
thf(f1713,plain,
! [X2: paraco1604210848lle_fm,X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X1),X2) ),
inference(cnf_transformation,[],[f916]) ).
thf(f916,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm,X2: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X1),X2) ),
inference(rectify,[],[f32]) ).
thf(f32,axiom,
! [X13: paraco1604210848lle_fm,X23: paraco1604210848lle_fm,X24: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X13) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X23),X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_fm_Odistinct_I21_J) ).
thf(f2622,plain,
spl164_37,
inference(avatar_split_clause,[],[f2302,f2620]) ).
thf(f2620,plain,
( spl164_37
<=> ! [X0: nat,X1: nat] :
( ( vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) != vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0) )
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_37])]) ).
thf(f2302,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) != vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0) )
| ( X0 = X1 ) ),
inference(equality_proxy_clausification,[],[f2301]) ).
thf(f2301,plain,
! [X0: nat,X1: nat] :
( ( vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) != vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0) )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) ) ),
inference(equality_proxy_clausification,[],[f2300]) ).
thf(f2300,plain,
! [X0: nat,X1: nat] :
( ( $false = vAPP(paraco1605129243lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(paraco1605129243lle_tv,$o),vEQ(paraco1605129243lle_tv),vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1)),vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X0)) )
| ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),X0),X1) ) ),
inference(binary_proxy_clausification,[],[f1616]) ).
thf(f2618,plain,
spl164_36,
inference(avatar_split_clause,[],[f1562,f2616]) ).
thf(f2616,plain,
( spl164_36
<=> ! [X0: set_nat] :
( ( top_top_set_nat = X0 )
| ( $true != vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,top_top_set_nat),X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_36])]) ).
thf(f1562,plain,
! [X0: set_nat] :
( ( top_top_set_nat = X0 )
| ( $true != vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,top_top_set_nat),X0) ) ),
inference(cnf_transformation,[],[f983]) ).
thf(f983,plain,
! [X0: set_nat] :
( ( top_top_set_nat = X0 )
| ( $true != vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,top_top_set_nat),X0) ) ),
inference(ennf_transformation,[],[f473]) ).
thf(f473,plain,
! [X0: set_nat] :
( ( $true = vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,top_top_set_nat),X0) )
=> ( top_top_set_nat = X0 ) ),
inference(fool_elimination,[],[f472]) ).
thf(f472,plain,
! [X0: set_nat] :
( vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,top_top_set_nat),X0)
=> ( top_top_set_nat = X0 ) ),
inference(rectify,[],[f343]) ).
thf(f343,axiom,
! [X30: set_nat] :
( vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,top_top_set_nat),X30)
=> ( top_top_set_nat = X30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_342_top_Oextremum__uniqueI) ).
thf(f2614,plain,
spl164_35,
inference(avatar_split_clause,[],[f1561,f2612]) ).
thf(f2612,plain,
( spl164_35
<=> ! [X0: set_Pa1764573435lle_tv] :
( ( top_to1057771083lle_tv = X0 )
| ( $true != vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,top_to1057771083lle_tv),X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_35])]) ).
thf(f1561,plain,
! [X0: set_Pa1764573435lle_tv] :
( ( top_to1057771083lle_tv = X0 )
| ( $true != vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,top_to1057771083lle_tv),X0) ) ),
inference(cnf_transformation,[],[f982]) ).
thf(f982,plain,
! [X0: set_Pa1764573435lle_tv] :
( ( top_to1057771083lle_tv = X0 )
| ( $true != vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,top_to1057771083lle_tv),X0) ) ),
inference(ennf_transformation,[],[f471]) ).
thf(f471,plain,
! [X0: set_Pa1764573435lle_tv] :
( ( $true = vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,top_to1057771083lle_tv),X0) )
=> ( top_to1057771083lle_tv = X0 ) ),
inference(fool_elimination,[],[f470]) ).
thf(f470,plain,
! [X0: set_Pa1764573435lle_tv] :
( vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,top_to1057771083lle_tv),X0)
=> ( top_to1057771083lle_tv = X0 ) ),
inference(rectify,[],[f344]) ).
thf(f344,axiom,
! [X30: set_Pa1764573435lle_tv] :
( vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,top_to1057771083lle_tv),X30)
=> ( top_to1057771083lle_tv = X30 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_top_Oextremum__uniqueI) ).
thf(f2610,plain,
spl164_34,
inference(avatar_split_clause,[],[f1909,f2607]) ).
thf(f2607,plain,
( spl164_34
<=> ( vAPP(set_nat,$o,vAPP(sTfun(nat,nat),sTfun(set_nat,$o),inj_on_nat_nat,f),top_top_set_nat) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_34])]) ).
thf(f1909,plain,
vAPP(set_nat,$o,vAPP(sTfun(nat,nat),sTfun(set_nat,$o),inj_on_nat_nat,f),top_top_set_nat) = $true,
inference(cnf_transformation,[],[f851]) ).
thf(f851,plain,
vAPP(set_nat,$o,vAPP(sTfun(nat,nat),sTfun(set_nat,$o),inj_on_nat_nat,f),top_top_set_nat) = $true,
inference(fool_elimination,[],[f850]) ).
thf(f850,plain,
vAPP(set_nat,$o,vAPP(sTfun(nat,nat),sTfun(set_nat,$o),inj_on_nat_nat,f),top_top_set_nat),
inference(rectify,[],[f22]) ).
thf(f22,axiom,
vAPP(set_nat,$o,vAPP(sTfun(nat,nat),sTfun(set_nat,$o),inj_on_nat_nat,f),top_top_set_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_assms) ).
thf(f2603,plain,
spl164_33,
inference(avatar_split_clause,[],[f1594,f2601]) ).
thf(f2601,plain,
( spl164_33
<=> ! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_33])]) ).
thf(f1594,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X0),X1) ),
inference(cnf_transformation,[],[f873]) ).
thf(f873,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X0),X1) ),
inference(rectify,[],[f34]) ).
thf(f34,axiom,
! [X19: paraco1604210848lle_fm,X20: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1745535428le_Eql,X19),X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_fm_Odistinct_I17_J) ).
thf(f2599,plain,
spl164_32,
inference(avatar_split_clause,[],[f1593,f2597]) ).
thf(f2597,plain,
( spl164_32
<=> ! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_32])]) ).
thf(f1593,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X0),X1) ),
inference(cnf_transformation,[],[f872]) ).
thf(f872,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X0),X1) ),
inference(rectify,[],[f36]) ).
thf(f36,axiom,
! [X15: paraco1604210848lle_fm,X16: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco69239110le_Con,X15),X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_fm_Odistinct_I13_J) ).
thf(f2595,plain,
spl164_31,
inference(avatar_split_clause,[],[f1592,f2593]) ).
thf(f2593,plain,
( spl164_31
<=> ! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_31])]) ).
thf(f1592,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X0),X1) ),
inference(cnf_transformation,[],[f871]) ).
thf(f871,plain,
! [X0: paraco1604210848lle_fm,X1: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X0),X1) ),
inference(rectify,[],[f35]) ).
thf(f35,axiom,
! [X23: paraco1604210848lle_fm,X24: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,vAPP(paraco1604210848lle_fm,sTfun(paraco1604210848lle_fm,paraco1604210848lle_fm),paraco1389086619le_Eql,X23),X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_fm_Odistinct_I15_J) ).
thf(f2591,plain,
spl164_30,
inference(avatar_split_clause,[],[f1588,f2589]) ).
thf(f2589,plain,
( spl164_30
<=> ! [X0: nat] : ( $true = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X0),top_top_set_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_30])]) ).
thf(f1588,plain,
! [X0: nat] : ( $true = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X0),top_top_set_nat) ),
inference(cnf_transformation,[],[f517]) ).
thf(f517,plain,
! [X0: nat] : ( $true = vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X0),top_top_set_nat) ),
inference(fool_elimination,[],[f516]) ).
thf(f516,plain,
! [X0: nat] : vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X0),top_top_set_nat),
inference(rectify,[],[f57]) ).
thf(f57,axiom,
! [X27: nat] : vAPP(set_nat,$o,vAPP(nat,sTfun(set_nat,$o),member_nat,X27),top_top_set_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_iso__tuple__UNIV__I) ).
thf(f2587,plain,
spl164_29,
inference(avatar_split_clause,[],[f1586,f2585]) ).
thf(f2585,plain,
( spl164_29
<=> ! [X0: set_nat] : ( $true = vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,X0),top_top_set_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_29])]) ).
thf(f1586,plain,
! [X0: set_nat] : ( $true = vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,X0),top_top_set_nat) ),
inference(cnf_transformation,[],[f513]) ).
thf(f513,plain,
! [X0: set_nat] : ( $true = vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,X0),top_top_set_nat) ),
inference(fool_elimination,[],[f512]) ).
thf(f512,plain,
! [X0: set_nat] : vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,X0),top_top_set_nat),
inference(rectify,[],[f347]) ).
thf(f347,axiom,
! [X30: set_nat] : vAPP(set_nat,$o,vAPP(set_nat,sTfun(set_nat,$o),ord_less_eq_set_nat,X30),top_top_set_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_346_top__greatest) ).
thf(f2583,plain,
spl164_28,
inference(avatar_split_clause,[],[f1584,f2581]) ).
thf(f2581,plain,
( spl164_28
<=> ! [X0: paraco1605129243lle_tv] : ( $true = vAPP(set_Pa1764573435lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(set_Pa1764573435lle_tv,$o),member266900804lle_tv,X0),top_to1057771083lle_tv) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_28])]) ).
thf(f1584,plain,
! [X0: paraco1605129243lle_tv] : ( $true = vAPP(set_Pa1764573435lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(set_Pa1764573435lle_tv,$o),member266900804lle_tv,X0),top_to1057771083lle_tv) ),
inference(cnf_transformation,[],[f509]) ).
thf(f509,plain,
! [X0: paraco1605129243lle_tv] : ( $true = vAPP(set_Pa1764573435lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(set_Pa1764573435lle_tv,$o),member266900804lle_tv,X0),top_to1057771083lle_tv) ),
inference(fool_elimination,[],[f508]) ).
thf(f508,plain,
! [X0: paraco1605129243lle_tv] : vAPP(set_Pa1764573435lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(set_Pa1764573435lle_tv,$o),member266900804lle_tv,X0),top_to1057771083lle_tv),
inference(rectify,[],[f49]) ).
thf(f49,axiom,
! [X27: paraco1605129243lle_tv] : vAPP(set_Pa1764573435lle_tv,$o,vAPP(paraco1605129243lle_tv,sTfun(set_Pa1764573435lle_tv,$o),member266900804lle_tv,X27),top_to1057771083lle_tv),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_UNIV__I) ).
thf(f2579,plain,
spl164_27,
inference(avatar_split_clause,[],[f1582,f2577]) ).
thf(f2577,plain,
( spl164_27
<=> ! [X0: set_Pa1764573435lle_tv] : ( $true = vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,X0),top_to1057771083lle_tv) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_27])]) ).
thf(f1582,plain,
! [X0: set_Pa1764573435lle_tv] : ( $true = vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,X0),top_to1057771083lle_tv) ),
inference(cnf_transformation,[],[f505]) ).
thf(f505,plain,
! [X0: set_Pa1764573435lle_tv] : ( $true = vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,X0),top_to1057771083lle_tv) ),
inference(fool_elimination,[],[f504]) ).
thf(f504,plain,
! [X0: set_Pa1764573435lle_tv] : vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,X0),top_to1057771083lle_tv),
inference(rectify,[],[f350]) ).
thf(f350,axiom,
! [X32: set_Pa1764573435lle_tv] : vAPP(set_Pa1764573435lle_tv,$o,vAPP(set_Pa1764573435lle_tv,sTfun(set_Pa1764573435lle_tv,$o),ord_le241064091lle_tv,X32),top_to1057771083lle_tv),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_349_subset__UNIV) ).
thf(f2575,plain,
spl164_26,
inference(avatar_split_clause,[],[f1580,f2573]) ).
thf(f2573,plain,
( spl164_26
<=> ! [X0: product_prod_nat_nat] : ( $true = vAPP(set_Pr1986765409at_nat,$o,vAPP(product_prod_nat_nat,sTfun(set_Pr1986765409at_nat,$o),member701585322at_nat,X0),top_to1555900337at_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_26])]) ).
thf(f1580,plain,
! [X0: product_prod_nat_nat] : ( $true = vAPP(set_Pr1986765409at_nat,$o,vAPP(product_prod_nat_nat,sTfun(set_Pr1986765409at_nat,$o),member701585322at_nat,X0),top_to1555900337at_nat) ),
inference(cnf_transformation,[],[f501]) ).
thf(f501,plain,
! [X0: product_prod_nat_nat] : ( $true = vAPP(set_Pr1986765409at_nat,$o,vAPP(product_prod_nat_nat,sTfun(set_Pr1986765409at_nat,$o),member701585322at_nat,X0),top_to1555900337at_nat) ),
inference(fool_elimination,[],[f500]) ).
thf(f500,plain,
! [X0: product_prod_nat_nat] : vAPP(set_Pr1986765409at_nat,$o,vAPP(product_prod_nat_nat,sTfun(set_Pr1986765409at_nat,$o),member701585322at_nat,X0),top_to1555900337at_nat),
inference(rectify,[],[f47]) ).
thf(f47,axiom,
! [X27: product_prod_nat_nat] : vAPP(set_Pr1986765409at_nat,$o,vAPP(product_prod_nat_nat,sTfun(set_Pr1986765409at_nat,$o),member701585322at_nat,X27),top_to1555900337at_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_UNIV__I) ).
thf(f2571,plain,
spl164_25,
inference(avatar_split_clause,[],[f1578,f2569]) ).
thf(f2569,plain,
( spl164_25
<=> ! [X0: produc931990033lle_tv] : ( $true = vAPP(set_Pr560526279lle_tv,$o,vAPP(produc931990033lle_tv,sTfun(set_Pr560526279lle_tv,$o),member1569366824lle_tv,X0),top_to449985143lle_tv) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_25])]) ).
thf(f1578,plain,
! [X0: produc931990033lle_tv] : ( $true = vAPP(set_Pr560526279lle_tv,$o,vAPP(produc931990033lle_tv,sTfun(set_Pr560526279lle_tv,$o),member1569366824lle_tv,X0),top_to449985143lle_tv) ),
inference(cnf_transformation,[],[f497]) ).
thf(f497,plain,
! [X0: produc931990033lle_tv] : ( $true = vAPP(set_Pr560526279lle_tv,$o,vAPP(produc931990033lle_tv,sTfun(set_Pr560526279lle_tv,$o),member1569366824lle_tv,X0),top_to449985143lle_tv) ),
inference(fool_elimination,[],[f496]) ).
thf(f496,plain,
! [X0: produc931990033lle_tv] : vAPP(set_Pr560526279lle_tv,$o,vAPP(produc931990033lle_tv,sTfun(set_Pr560526279lle_tv,$o),member1569366824lle_tv,X0),top_to449985143lle_tv),
inference(rectify,[],[f43]) ).
thf(f43,axiom,
! [X27: produc931990033lle_tv] : vAPP(set_Pr560526279lle_tv,$o,vAPP(produc931990033lle_tv,sTfun(set_Pr560526279lle_tv,$o),member1569366824lle_tv,X27),top_to449985143lle_tv),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_UNIV__I) ).
thf(f2567,plain,
spl164_24,
inference(avatar_split_clause,[],[f1576,f2565]) ).
thf(f2565,plain,
( spl164_24
<=> ! [X0: produc696645085lle_fm] : ( $true = vAPP(set_Pr2120184979lle_fm,$o,vAPP(produc696645085lle_fm,sTfun(set_Pr2120184979lle_fm,$o),member1474794996lle_fm,X0),top_to775056195lle_fm) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_24])]) ).
thf(f1576,plain,
! [X0: produc696645085lle_fm] : ( $true = vAPP(set_Pr2120184979lle_fm,$o,vAPP(produc696645085lle_fm,sTfun(set_Pr2120184979lle_fm,$o),member1474794996lle_fm,X0),top_to775056195lle_fm) ),
inference(cnf_transformation,[],[f493]) ).
thf(f493,plain,
! [X0: produc696645085lle_fm] : ( $true = vAPP(set_Pr2120184979lle_fm,$o,vAPP(produc696645085lle_fm,sTfun(set_Pr2120184979lle_fm,$o),member1474794996lle_fm,X0),top_to775056195lle_fm) ),
inference(fool_elimination,[],[f492]) ).
thf(f492,plain,
! [X0: produc696645085lle_fm] : vAPP(set_Pr2120184979lle_fm,$o,vAPP(produc696645085lle_fm,sTfun(set_Pr2120184979lle_fm,$o),member1474794996lle_fm,X0),top_to775056195lle_fm),
inference(rectify,[],[f41]) ).
thf(f41,axiom,
! [X27: produc696645085lle_fm] : vAPP(set_Pr2120184979lle_fm,$o,vAPP(produc696645085lle_fm,sTfun(set_Pr2120184979lle_fm,$o),member1474794996lle_fm,X27),top_to775056195lle_fm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_UNIV__I) ).
thf(f2563,plain,
spl164_23,
inference(avatar_split_clause,[],[f1574,f2561]) ).
thf(f2561,plain,
( spl164_23
<=> ! [X0: produc270694976lle_tv] : ( $true = vAPP(set_Pr13445366lle_tv,$o,vAPP(produc270694976lle_tv,sTfun(set_Pr13445366lle_tv,$o),member813679063lle_tv,X0),top_to1411004326lle_tv) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_23])]) ).
thf(f1574,plain,
! [X0: produc270694976lle_tv] : ( $true = vAPP(set_Pr13445366lle_tv,$o,vAPP(produc270694976lle_tv,sTfun(set_Pr13445366lle_tv,$o),member813679063lle_tv,X0),top_to1411004326lle_tv) ),
inference(cnf_transformation,[],[f489]) ).
thf(f489,plain,
! [X0: produc270694976lle_tv] : ( $true = vAPP(set_Pr13445366lle_tv,$o,vAPP(produc270694976lle_tv,sTfun(set_Pr13445366lle_tv,$o),member813679063lle_tv,X0),top_to1411004326lle_tv) ),
inference(fool_elimination,[],[f488]) ).
thf(f488,plain,
! [X0: produc270694976lle_tv] : vAPP(set_Pr13445366lle_tv,$o,vAPP(produc270694976lle_tv,sTfun(set_Pr13445366lle_tv,$o),member813679063lle_tv,X0),top_to1411004326lle_tv),
inference(rectify,[],[f46]) ).
thf(f46,axiom,
! [X27: produc270694976lle_tv] : vAPP(set_Pr13445366lle_tv,$o,vAPP(produc270694976lle_tv,sTfun(set_Pr13445366lle_tv,$o),member813679063lle_tv,X27),top_to1411004326lle_tv),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_UNIV__I) ).
thf(f2559,plain,
spl164_22,
inference(avatar_split_clause,[],[f1572,f2557]) ).
thf(f2557,plain,
( spl164_22
<=> ! [X0: produc194167194tv_nat] : ( $true = vAPP(set_Pr1725653840tv_nat,$o,vAPP(produc194167194tv_nat,sTfun(set_Pr1725653840tv_nat,$o),member737151281tv_nat,X0),top_to975729152tv_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_22])]) ).
thf(f1572,plain,
! [X0: produc194167194tv_nat] : ( $true = vAPP(set_Pr1725653840tv_nat,$o,vAPP(produc194167194tv_nat,sTfun(set_Pr1725653840tv_nat,$o),member737151281tv_nat,X0),top_to975729152tv_nat) ),
inference(cnf_transformation,[],[f485]) ).
thf(f485,plain,
! [X0: produc194167194tv_nat] : ( $true = vAPP(set_Pr1725653840tv_nat,$o,vAPP(produc194167194tv_nat,sTfun(set_Pr1725653840tv_nat,$o),member737151281tv_nat,X0),top_to975729152tv_nat) ),
inference(fool_elimination,[],[f484]) ).
thf(f484,plain,
! [X0: produc194167194tv_nat] : vAPP(set_Pr1725653840tv_nat,$o,vAPP(produc194167194tv_nat,sTfun(set_Pr1725653840tv_nat,$o),member737151281tv_nat,X0),top_to975729152tv_nat),
inference(rectify,[],[f45]) ).
thf(f45,axiom,
! [X27: produc194167194tv_nat] : vAPP(set_Pr1725653840tv_nat,$o,vAPP(produc194167194tv_nat,sTfun(set_Pr1725653840tv_nat,$o),member737151281tv_nat,X27),top_to975729152tv_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_UNIV__I) ).
thf(f2555,plain,
spl164_21,
inference(avatar_split_clause,[],[f1569,f2553]) ).
thf(f2553,plain,
( spl164_21
<=> ! [X0: produc1852595672lle_tv] : ( $true = vAPP(set_Pr2061825550lle_tv,$o,vAPP(produc1852595672lle_tv,sTfun(set_Pr2061825550lle_tv,$o),member146333935lle_tv,X0),top_to138697918lle_tv) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_21])]) ).
thf(f1569,plain,
! [X0: produc1852595672lle_tv] : ( $true = vAPP(set_Pr2061825550lle_tv,$o,vAPP(produc1852595672lle_tv,sTfun(set_Pr2061825550lle_tv,$o),member146333935lle_tv,X0),top_to138697918lle_tv) ),
inference(cnf_transformation,[],[f479]) ).
thf(f479,plain,
! [X0: produc1852595672lle_tv] : ( $true = vAPP(set_Pr2061825550lle_tv,$o,vAPP(produc1852595672lle_tv,sTfun(set_Pr2061825550lle_tv,$o),member146333935lle_tv,X0),top_to138697918lle_tv) ),
inference(fool_elimination,[],[f478]) ).
thf(f478,plain,
! [X0: produc1852595672lle_tv] : vAPP(set_Pr2061825550lle_tv,$o,vAPP(produc1852595672lle_tv,sTfun(set_Pr2061825550lle_tv,$o),member146333935lle_tv,X0),top_to138697918lle_tv),
inference(rectify,[],[f42]) ).
thf(f42,axiom,
! [X27: produc1852595672lle_tv] : vAPP(set_Pr2061825550lle_tv,$o,vAPP(produc1852595672lle_tv,sTfun(set_Pr2061825550lle_tv,$o),member146333935lle_tv,X27),top_to138697918lle_tv),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_UNIV__I) ).
thf(f2551,plain,
spl164_20,
inference(avatar_split_clause,[],[f1568,f2549]) ).
thf(f2549,plain,
( spl164_20
<=> ! [X0: produc1281043295at_nat] : ( $true = vAPP(set_Pr1357842111at_nat,$o,vAPP(produc1281043295at_nat,sTfun(set_Pr1357842111at_nat,$o),member112824072at_nat,X0),top_to1541413903at_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_20])]) ).
thf(f1568,plain,
! [X0: produc1281043295at_nat] : ( $true = vAPP(set_Pr1357842111at_nat,$o,vAPP(produc1281043295at_nat,sTfun(set_Pr1357842111at_nat,$o),member112824072at_nat,X0),top_to1541413903at_nat) ),
inference(cnf_transformation,[],[f477]) ).
thf(f477,plain,
! [X0: produc1281043295at_nat] : ( $true = vAPP(set_Pr1357842111at_nat,$o,vAPP(produc1281043295at_nat,sTfun(set_Pr1357842111at_nat,$o),member112824072at_nat,X0),top_to1541413903at_nat) ),
inference(fool_elimination,[],[f476]) ).
thf(f476,plain,
! [X0: produc1281043295at_nat] : vAPP(set_Pr1357842111at_nat,$o,vAPP(produc1281043295at_nat,sTfun(set_Pr1357842111at_nat,$o),member112824072at_nat,X0),top_to1541413903at_nat),
inference(rectify,[],[f53]) ).
thf(f53,axiom,
! [X27: produc1281043295at_nat] : vAPP(set_Pr1357842111at_nat,$o,vAPP(produc1281043295at_nat,sTfun(set_Pr1357842111at_nat,$o),member112824072at_nat,X27),top_to1541413903at_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_iso__tuple__UNIV__I) ).
thf(f2547,plain,
spl164_19,
inference(avatar_split_clause,[],[f1489,f2544]) ).
thf(f2544,plain,
( spl164_19
<=> ( top_to1299250770e_tv_o = vAPP($o,sTfun(paraco1605129243lle_tv,$o),kCOMB,top_top_o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_19])]) ).
thf(f1489,plain,
top_to1299250770e_tv_o = vAPP($o,sTfun(paraco1605129243lle_tv,$o),kCOMB,top_top_o),
inference(cnf_transformation,[],[f370]) ).
thf(f370,plain,
top_to1299250770e_tv_o = vAPP($o,sTfun(paraco1605129243lle_tv,$o),kCOMB,top_top_o),
inference(fool_elimination,[],[f369]) ).
thf(f369,plain,
( top_to1299250770e_tv_o
= ( ^ [X0: paraco1605129243lle_tv] : top_top_o ) ),
inference(rectify,[],[f59]) ).
thf(f59,axiom,
( top_to1299250770e_tv_o
= ( ^ [X28: paraco1605129243lle_tv] : top_top_o ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_top__apply) ).
thf(f2542,plain,
spl164_18,
inference(avatar_split_clause,[],[f1488,f2539]) ).
thf(f2539,plain,
( spl164_18
<=> ( top_top_nat_o = vAPP($o,sTfun(nat,$o),kCOMB,top_top_o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_18])]) ).
thf(f1488,plain,
top_top_nat_o = vAPP($o,sTfun(nat,$o),kCOMB,top_top_o),
inference(cnf_transformation,[],[f368]) ).
thf(f368,plain,
top_top_nat_o = vAPP($o,sTfun(nat,$o),kCOMB,top_top_o),
inference(fool_elimination,[],[f367]) ).
thf(f367,plain,
( top_top_nat_o
= ( ^ [X0: nat] : top_top_o ) ),
inference(rectify,[],[f60]) ).
thf(f60,axiom,
( top_top_nat_o
= ( ^ [X28: nat] : top_top_o ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_top__apply) ).
thf(f2536,plain,
spl164_17,
inference(avatar_split_clause,[],[f1591,f2534]) ).
thf(f2534,plain,
( spl164_17
<=> ! [X0: $o,X1: nat] : ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X0) != vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_17])]) ).
thf(f1591,plain,
! [X0: $o,X1: nat] : ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X0) != vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) ),
inference(cnf_transformation,[],[f870]) ).
thf(f870,plain,
! [X0: $o,X1: nat] : ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X0) != vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X1) ),
inference(rectify,[],[f187]) ).
thf(f187,axiom,
! [X0: $o,X61: nat] : ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X0) != vAPP(nat,paraco1605129243lle_tv,paraco793048302_Indet,X61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_tv_Odistinct_I1_J) ).
thf(f2532,plain,
spl164_16,
inference(avatar_split_clause,[],[f1590,f2530]) ).
thf(f2530,plain,
( spl164_16
<=> ! [X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_16])]) ).
thf(f1590,plain,
! [X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X1) ),
inference(cnf_transformation,[],[f869]) ).
thf(f869,plain,
! [X0: list_char,X1: paraco1604210848lle_fm] : ( vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X1) ),
inference(rectify,[],[f113]) ).
thf(f113,axiom,
! [X0: list_char,X13: paraco1604210848lle_fm] : ( vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X13) != vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_fm_Odistinct_I3_J) ).
thf(f2528,plain,
( ~ spl164_15
| ~ spl164_6
| spl164_14 ),
inference(avatar_split_clause,[],[f2523,f2519,f2476,f2525]) ).
thf(f2525,plain,
( spl164_15
<=> ( 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)),p1) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_15])]) ).
thf(f2519,plain,
( spl164_14
<=> ( 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)),p1) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_14])]) ).
thf(f2523,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)),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) )
| ~ spl164_6
| spl164_14 ),
inference(forward_demodulation,[],[f2521,f2478]) ).
thf(f2521,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)),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) )
| spl164_14 ),
inference(avatar_component_clause,[],[f2519]) ).
thf(f2522,plain,
~ spl164_14,
inference(avatar_split_clause,[],[f2402,f2519]) ).
thf(f2402,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)),p1) != vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(forward_demodulation,[],[f1483,f1473]) ).
thf(f1473,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,[],[f852]) ).
thf(f852,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,[],[f362]) ).
thf(f362,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,[],[f359]) ).
thf(f359,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,[],[f358]) ).
thf(f358,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(f1483,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)),p1) != 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,[],[f8]) ).
thf(f8,axiom,
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)),p1) != 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_7_b_H) ).
thf(f2514,plain,
spl164_13,
inference(avatar_split_clause,[],[f1473,f2511]) ).
thf(f2511,plain,
( spl164_13
<=> ( 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_13])]) ).
thf(f2509,plain,
spl164_12,
inference(avatar_split_clause,[],[f1478,f2506]) ).
thf(f2506,plain,
( spl164_12
<=> ( top_top_set_nat = vAPP(sTfun(nat,$o),set_nat,collect_nat,top_top_nat_o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_12])]) ).
thf(f1478,plain,
top_top_set_nat = vAPP(sTfun(nat,$o),set_nat,collect_nat,top_top_nat_o),
inference(cnf_transformation,[],[f110]) ).
thf(f110,axiom,
top_top_set_nat = vAPP(sTfun(nat,$o),set_nat,collect_nat,top_top_nat_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_top__set__def) ).
thf(f2504,plain,
spl164_11,
inference(avatar_split_clause,[],[f1477,f2501]) ).
thf(f2501,plain,
( spl164_11
<=> ( top_to1057771083lle_tv = vAPP(sTfun(paraco1605129243lle_tv,$o),set_Pa1764573435lle_tv,collec1111687558lle_tv,top_to1299250770e_tv_o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_11])]) ).
thf(f1477,plain,
top_to1057771083lle_tv = vAPP(sTfun(paraco1605129243lle_tv,$o),set_Pa1764573435lle_tv,collec1111687558lle_tv,top_to1299250770e_tv_o),
inference(cnf_transformation,[],[f111]) ).
thf(f111,axiom,
top_to1057771083lle_tv = vAPP(sTfun(paraco1605129243lle_tv,$o),set_Pa1764573435lle_tv,collec1111687558lle_tv,top_to1299250770e_tv_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_top__set__def) ).
thf(f2499,plain,
spl164_10,
inference(avatar_split_clause,[],[f1476,f2496]) ).
thf(f2496,plain,
( spl164_10
<=> ( top_to1555900337at_nat = vAPP(sTfun(product_prod_nat_nat,$o),set_Pr1986765409at_nat,collec7649004at_nat,top_to632227436_nat_o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_10])]) ).
thf(f1476,plain,
top_to1555900337at_nat = vAPP(sTfun(product_prod_nat_nat,$o),set_Pr1986765409at_nat,collec7649004at_nat,top_to632227436_nat_o),
inference(cnf_transformation,[],[f109]) ).
thf(f109,axiom,
top_to1555900337at_nat = vAPP(sTfun(product_prod_nat_nat,$o),set_Pr1986765409at_nat,collec7649004at_nat,top_to632227436_nat_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_top__set__def) ).
thf(f2494,plain,
spl164_9,
inference(avatar_split_clause,[],[f1475,f2491]) ).
thf(f2491,plain,
( spl164_9
<=> ( top_to1411004326lle_tv = vAPP(sTfun(produc270694976lle_tv,$o),set_Pr13445366lle_tv,collec924990229lle_tv,top_to1889334367e_tv_o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_9])]) ).
thf(f1475,plain,
top_to1411004326lle_tv = vAPP(sTfun(produc270694976lle_tv,$o),set_Pr13445366lle_tv,collec924990229lle_tv,top_to1889334367e_tv_o),
inference(cnf_transformation,[],[f108]) ).
thf(f108,axiom,
top_to1411004326lle_tv = vAPP(sTfun(produc270694976lle_tv,$o),set_Pr13445366lle_tv,collec924990229lle_tv,top_to1889334367e_tv_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_top__set__def) ).
thf(f2489,plain,
( spl164_8
| ~ spl164_2
| ~ spl164_6 ),
inference(avatar_split_clause,[],[f2480,f2476,f2429,f2487]) ).
thf(f2487,plain,
( spl164_8
<=> ! [X0: $o] :
( ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X0) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) )
| ( $false = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_8])]) ).
thf(f2429,plain,
( spl164_2
<=> ! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_2])]) ).
thf(f2480,plain,
( ! [X0: $o] :
( ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X0) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) )
| ( $false = X0 ) )
| ~ spl164_2
| ~ spl164_6 ),
inference(superposition,[],[f2478,f2430]) ).
thf(f2430,plain,
( ! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) )
| ~ spl164_2 ),
inference(avatar_component_clause,[],[f2429]) ).
thf(f2485,plain,
spl164_7,
inference(avatar_split_clause,[],[f1474,f2482]) ).
thf(f2482,plain,
( spl164_7
<=> ( top_to975729152tv_nat = vAPP(sTfun(produc194167194tv_nat,$o),set_Pr1725653840tv_nat,collec848462447tv_nat,top_to900819589_nat_o) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_7])]) ).
thf(f1474,plain,
top_to975729152tv_nat = vAPP(sTfun(produc194167194tv_nat,$o),set_Pr1725653840tv_nat,collec848462447tv_nat,top_to900819589_nat_o),
inference(cnf_transformation,[],[f107]) ).
thf(f107,axiom,
top_to975729152tv_nat = vAPP(sTfun(produc194167194tv_nat,$o),set_Pr1725653840tv_nat,collec848462447tv_nat,top_to900819589_nat_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_top__set__def) ).
thf(f2479,plain,
( spl164_6
| ~ spl164_5 ),
inference(avatar_split_clause,[],[f2474,f2469,f2476]) ).
thf(f2469,plain,
( spl164_5
<=> ( 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) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_5])]) ).
thf(f2474,plain,
( ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$false) )
| ~ spl164_5 ),
inference(forward_demodulation,[],[f2473,f1597]) ).
thf(f1597,plain,
! [X0: nat > nat,X1: $o] : ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X1) = vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,X0),vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X1)) ),
inference(cnf_transformation,[],[f876]) ).
thf(f876,plain,
! [X0: nat > nat,X1: $o] : ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X1) = vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,X0),vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X1)) ),
inference(rectify,[],[f23]) ).
thf(f23,axiom,
! [X11: nat > nat,X12: $o] : ( vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X12) = vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,X11),vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_change__tv_Osimps_I1_J) ).
thf(f2473,plain,
( ( vAPP($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,$false)) )
| ~ spl164_5 ),
inference(forward_demodulation,[],[f2471,f1500]) ).
thf(f2471,plain,
( ( vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true) )
| ~ spl164_5 ),
inference(avatar_component_clause,[],[f2469]) ).
thf(f2472,plain,
spl164_5,
inference(avatar_split_clause,[],[f2401,f2469]) ).
thf(f2401,plain,
vAPP(paraco1605129243lle_tv,paraco1605129243lle_tv,vAPP(sTfun(nat,nat),sTfun(paraco1605129243lle_tv,paraco1605129243lle_tv),paraco1147068288nge_tv,f),vAPP(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)) = vAPP($o,paraco1605129243lle_tv,paraco1344940915le_Det,$true),
inference(forward_demodulation,[],[f1482,f1473]) ).
thf(f1482,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(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)),
inference(cnf_transformation,[],[f10]) ).
thf(f10,axiom,
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(paraco1604210848lle_fm,paraco1605129243lle_tv,vAPP(sTfun(list_char,paraco1605129243lle_tv),sTfun(paraco1604210848lle_fm,paraco1605129243lle_tv),paraco1325918602e_eval,i),p2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_ih2) ).
thf(f2467,plain,
spl164_4,
inference(avatar_split_clause,[],[f1504,f2465]) ).
thf(f2465,plain,
( spl164_4
<=> ! [X0: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_4])]) ).
thf(f1504,plain,
! [X0: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) ),
inference(cnf_transformation,[],[f853]) ).
thf(f853,plain,
! [X0: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X0) ),
inference(rectify,[],[f37]) ).
thf(f37,axiom,
! [X13: paraco1604210848lle_fm] : ( paraco367965286_Truth != vAPP(paraco1604210848lle_fm,paraco1604210848lle_fm,paraco445776468le_Neg,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_fm_Odistinct_I11_J) ).
thf(f2463,plain,
spl164_3,
inference(avatar_split_clause,[],[f1503,f2461]) ).
thf(f2461,plain,
( spl164_3
<=> ! [X0: list_char] : ( paraco367965286_Truth != vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_3])]) ).
thf(f1503,plain,
! [X0: list_char] : ( paraco367965286_Truth != vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) ),
inference(cnf_transformation,[],[f117]) ).
thf(f117,axiom,
! [X0: list_char] : ( paraco367965286_Truth != vAPP(list_char,paraco1604210848lle_fm,paraco1480028776le_Pro,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_fm_Odistinct_I1_J) ).
thf(f2431,plain,
spl164_2,
inference(avatar_split_clause,[],[f361,f2429]) ).
thf(f361,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f2427,plain,
~ spl164_1,
inference(avatar_split_clause,[],[f360,f2424]) ).
thf(f2424,plain,
( spl164_1
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl164_1])]) ).
thf(f360,plain,
$true != $false,
introduced(fool_axiom,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP136^1 : TPTP v8.2.0. Released v7.5.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 16:59:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (5376)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (5379)WARNING: value z3 for option sas not known
% 0.20/0.40 % (5377)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.40 % (5378)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.40 % (5380)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.40 % (5382)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)
% 0.20/0.40 % (5379)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)
% 0.20/0.40 % (5383)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)
% 0.20/0.40 % (5381)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)
% 0.20/0.44 % (5383)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.45 % Exception at run slice level
% 0.20/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.45 % Exception at run slice level
% 0.20/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.45 % Exception at run slice level
% 0.20/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.47 % (5392)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)
% 0.20/0.47 % (5391)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.47 % (5394)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)
% 0.20/0.50 % (5381)First to succeed.
% 0.20/0.50 % (5381)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5376"
% 0.20/0.50 % (5381)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (5381)------------------------------
% 0.20/0.51 % (5381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.51 % (5381)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (5381)Memory used [KB]: 2867
% 0.20/0.51 % (5381)Time elapsed: 0.106 s
% 0.20/0.51 % (5381)Instructions burned: 226 (million)
% 0.20/0.51 % (5376)Success in time 0.145 s
%------------------------------------------------------------------------------