TSTP Solution File: SCT171^2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SCT171^2 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Tue May 21 02:51:50 EDT 2024
% Result : Theorem 1.19s 0.55s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 325
% Syntax : Number of formulae : 340 ( 15 unt; 322 typ; 0 def)
% Number of atoms : 558 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 31 avg)
% Number of connectives : 8 ( 5 ~; 1 |; 0 &; 0 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 1600 (1599 >; 1 *; 0 +; 0 <<)
% Number of symbols : 317 ( 314 usr; 13 con; 0-6 aty)
% Number of variables : 17 ( 4 ^ 0 !; 0 ?; 17 :)
% ( 13 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1501160679le_alt: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
arrow_1429601828e_indi: $tType ).
thf(type_def_8,type,
arrow_475358991le_alt: $tType ).
thf(type_def_9,type,
nat: $tType ).
thf(type_def_10,type,
product_unit: $tType ).
thf(func_def_0,type,
arrow_475358991le_alt: $tType ).
thf(func_def_1,type,
arrow_1429601828e_indi: $tType ).
thf(func_def_2,type,
nat: $tType ).
thf(func_def_3,type,
product_unit: $tType ).
thf(func_def_4,type,
produc1501160679le_alt: $tType ).
thf(func_def_5,type,
all: ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_6,type,
arrow_797024463le_IIA: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_7,type,
arrow_823908191le_Lin: ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_8,type,
arrow_734252939e_Prof: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_9,type,
arrow_789600939_above: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_10,type,
arrow_2098199487_below: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_11,type,
arrow_1212662430ctator: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > $o ).
thf(func_def_12,type,
arrow_2054445623_mkbot: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_13,type,
arrow_55669061_mktop: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_14,type,
arrow_1706409458nimity: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_15,type,
finite120663670_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > nat ).
thf(func_def_16,type,
finite28306938_alt_o: ( ( produc1501160679le_alt > $o ) > $o ) > nat ).
thf(func_def_17,type,
finite_card_o: ( $o > $o ) > nat ).
thf(func_def_18,type,
finite97476818e_indi: ( arrow_1429601828e_indi > $o ) > nat ).
thf(func_def_19,type,
finite_card_nat: ( nat > $o ) > nat ).
thf(func_def_20,type,
finite1949902593t_unit: ( product_unit > $o ) > nat ).
thf(func_def_21,type,
finite537683861le_alt: ( produc1501160679le_alt > $o ) > nat ).
thf(func_def_22,type,
finite1956767223_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_23,type,
finite2112685307_alt_o: ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_24,type,
finite_finite_o: ( $o > $o ) > $o ).
thf(func_def_25,type,
finite664979089e_indi: ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_26,type,
finite_finite_nat: ( nat > $o ) > $o ).
thf(func_def_27,type,
finite449174868le_alt: ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_28,type,
in_rel1252994498le_alt: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > $o ).
thf(func_def_29,type,
inj_on1284293749_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_30,type,
inj_on743426285_alt_o: ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_31,type,
inj_on1877294875e_indi: ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_32,type,
inj_on867909093le_alt: ( $o > produc1501160679le_alt ) > ( $o > $o ) > $o ).
thf(func_def_33,type,
inj_on1190919077_alt_o: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_34,type,
inj_on978774663di_nat: ( arrow_1429601828e_indi > nat ) > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_35,type,
inj_on_nat_nat: ( nat > nat ) > ( nat > $o ) > $o ).
thf(func_def_36,type,
inj_on1911943593_alt_o: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_37,type,
pi_Arr195212324lt_o_o: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_38,type,
pi_Arr338314351e_indi: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > $o ).
thf(func_def_39,type,
pi_Arr830584606t_unit: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > product_unit > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > product_unit ) > $o ).
thf(func_def_40,type,
pi_Arr1304755663_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_41,type,
pi_Arr952516694lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_42,type,
pi_Arr1232280765e_indi: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > $o ).
thf(func_def_43,type,
pi_Arr1963174508t_unit: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > product_unit > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > product_unit ) > $o ).
thf(func_def_44,type,
pi_Pro763888199_alt_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_45,type,
pi_Pro422690258lt_o_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_46,type,
pi_Pro468373057e_indi: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi > $o ) > ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > $o ).
thf(func_def_47,type,
pi_Pro1306850800t_unit: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > product_unit > $o ) > ( ( produc1501160679le_alt > $o ) > product_unit ) > $o ).
thf(func_def_48,type,
pi_o_A1186128886_alt_o: ( $o > $o ) > ( $o > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( $o > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_49,type,
pi_o_A1182933120_alt_o: ( $o > $o ) > ( $o > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( $o > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_50,type,
pi_o_P553196292_alt_o: ( $o > $o ) > ( $o > ( produc1501160679le_alt > $o ) > $o ) > ( $o > produc1501160679le_alt > $o ) > $o ).
thf(func_def_51,type,
pi_o_nat: ( $o > $o ) > ( $o > nat > $o ) > ( $o > nat ) > $o ).
thf(func_def_52,type,
pi_o_P657324555le_alt: ( $o > $o ) > ( $o > produc1501160679le_alt > $o ) > ( $o > produc1501160679le_alt ) > $o ).
thf(func_def_53,type,
pi_Arr1564509167_alt_o: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_54,type,
pi_Arr1060328391_alt_o: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_55,type,
pi_Arr1929480907_alt_o: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_56,type,
pi_Arr251692973di_nat: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat > $o ) > ( arrow_1429601828e_indi > nat ) > $o ).
thf(func_def_57,type,
pi_Arr329216900le_alt: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt ) > $o ).
thf(func_def_58,type,
pi_nat_o: ( nat > $o ) > ( nat > $o > $o ) > ( nat > $o ) > $o ).
thf(func_def_59,type,
pi_nat1219304995e_indi: ( nat > $o ) > ( nat > arrow_1429601828e_indi > $o ) > ( nat > arrow_1429601828e_indi ) > $o ).
thf(func_def_60,type,
pi_nat_nat: ( nat > $o ) > ( nat > nat > $o ) > ( nat > nat ) > $o ).
thf(func_def_61,type,
pi_nat_Product_unit: ( nat > $o ) > ( nat > product_unit > $o ) > ( nat > product_unit ) > $o ).
thf(func_def_62,type,
pi_Pro1782982558_alt_o: ( product_unit > $o ) > ( product_unit > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( product_unit > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_63,type,
pi_Pro1662176984_alt_o: ( product_unit > $o ) > ( product_unit > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_64,type,
pi_Pro1312660828_alt_o: ( product_unit > $o ) > ( product_unit > ( produc1501160679le_alt > $o ) > $o ) > ( product_unit > produc1501160679le_alt > $o ) > $o ).
thf(func_def_65,type,
pi_Product_unit_nat: ( product_unit > $o ) > ( product_unit > nat > $o ) > ( product_unit > nat ) > $o ).
thf(func_def_66,type,
pi_Pro701847987le_alt: ( product_unit > $o ) > ( product_unit > produc1501160679le_alt > $o ) > ( product_unit > produc1501160679le_alt ) > $o ).
thf(func_def_67,type,
pi_Pro1701359055_alt_o: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_68,type,
pi_Pro1767455108e_indi: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > arrow_1429601828e_indi > $o ) > ( produc1501160679le_alt > arrow_1429601828e_indi ) > $o ).
thf(func_def_69,type,
pi_Pro1475896499t_unit: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > product_unit > $o ) > ( produc1501160679le_alt > product_unit ) > $o ).
thf(func_def_70,type,
one_one_nat: nat ).
thf(func_def_71,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_72,type,
zero_zero_nat: nat ).
thf(func_def_73,type,
hilber598459244di_nat: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > nat > arrow_1429601828e_indi ).
thf(func_def_74,type,
hilber195283148at_nat: ( nat > $o ) > ( nat > nat ) > nat > nat ).
thf(func_def_75,type,
if_Pro1561232536_alt_o: $o > ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(func_def_76,type,
suc: nat > nat ).
thf(func_def_77,type,
ord_le1859604819lt_o_o: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_78,type,
ord_le157835011lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_79,type,
ord_le910298367lt_o_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_80,type,
ord_less_o_o: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_81,type,
ord_le777687553indi_o: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_82,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_83,type,
ord_le232288914unit_o: ( product_unit > $o ) > ( product_unit > $o ) > $o ).
thf(func_def_84,type,
ord_le988258430_alt_o: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_85,type,
ord_less_o: $o > $o > $o ).
thf(func_def_86,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_87,type,
ord_le134800455lt_o_o: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_88,type,
ord_le1992928527lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_89,type,
ord_le1063113995lt_o_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_90,type,
ord_less_eq_o_o: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_91,type,
ord_le2080035663_alt_o: ( arrow_475358991le_alt > arrow_475358991le_alt > $o ) > ( arrow_475358991le_alt > arrow_475358991le_alt > $o ) > $o ).
thf(func_def_92,type,
ord_le1799070453indi_o: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_93,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_94,type,
ord_le1511552390unit_o: ( product_unit > $o ) > ( product_unit > $o ) > $o ).
thf(func_def_95,type,
ord_le97612146_alt_o: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_96,type,
ord_less_eq_o: $o > $o > $o ).
thf(func_def_97,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_98,type,
top_to1969627639lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_99,type,
top_to2122763103lt_o_o: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_100,type,
top_to1842727771lt_o_o: ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_101,type,
top_top_o_o: $o > $o ).
thf(func_def_102,type,
top_to988227749indi_o: arrow_1429601828e_indi > $o ).
thf(func_def_103,type,
top_top_nat_o: nat > $o ).
thf(func_def_104,type,
top_to1984820022unit_o: product_unit > $o ).
thf(func_def_105,type,
top_to1841428258_alt_o: produc1501160679le_alt > $o ).
thf(func_def_106,type,
top_top_o: $o ).
thf(func_def_107,type,
produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt ).
thf(func_def_108,type,
ord_at4362885an_nat: nat > nat > nat > $o ).
thf(func_def_109,type,
collec2009291517_alt_o: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_110,type,
collec682858041_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_111,type,
collec94295101_alt_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_112,type,
collec22405327e_indi: ( arrow_1429601828e_indi > $o ) > arrow_1429601828e_indi > $o ).
thf(func_def_113,type,
collect_nat: ( nat > $o ) > nat > $o ).
thf(func_def_114,type,
collect_Product_unit: ( product_unit > $o ) > product_unit > $o ).
thf(func_def_115,type,
collec869865362le_alt: ( produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(func_def_116,type,
image_484224243di_nat: ( arrow_1429601828e_indi > nat ) > ( arrow_1429601828e_indi > $o ) > nat > $o ).
thf(func_def_117,type,
member1823529808lt_o_o: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > $o ) > $o ).
thf(func_def_118,type,
member1452482393e_indi: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > ( ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > $o ) > $o ).
thf(func_def_119,type,
member1924666376t_unit: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > product_unit ) > ( ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > product_unit ) > $o ) > $o ).
thf(func_def_120,type,
member616898751_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_121,type,
member939334982lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ) > $o ).
thf(func_def_122,type,
member44294883e_indi: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > $o ) > $o ).
thf(func_def_123,type,
member843528338t_unit: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > product_unit ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > product_unit ) > $o ) > $o ).
thf(func_def_124,type,
member530241719_alt_o: ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_125,type,
member1961363906lt_o_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( ( produc1501160679le_alt > $o ) > $o ) > $o ) > $o ).
thf(func_def_126,type,
member304866663e_indi: ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > ( ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > $o ) > $o ).
thf(func_def_127,type,
member221730070t_unit: ( ( produc1501160679le_alt > $o ) > product_unit ) > ( ( ( produc1501160679le_alt > $o ) > product_unit ) > $o ) > $o ).
thf(func_def_128,type,
member1957863580_alt_o: ( $o > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( ( $o > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_129,type,
member1394214384_alt_o: ( $o > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( $o > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_130,type,
member1862122484_alt_o: ( $o > produc1501160679le_alt > $o ) > ( ( $o > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_131,type,
member_o_nat: ( $o > nat ) > ( ( $o > nat ) > $o ) > $o ).
thf(func_def_132,type,
member492167345le_alt: ( $o > produc1501160679le_alt ) > ( ( $o > produc1501160679le_alt ) > $o ) > $o ).
thf(func_def_133,type,
member811956313_alt_o: ( arrow_1429601828e_indi > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( ( arrow_1429601828e_indi > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_134,type,
member1234151027_alt_o: ( arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_135,type,
member526088951_alt_o: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_136,type,
member1315464153di_nat: ( arrow_1429601828e_indi > nat ) > ( ( arrow_1429601828e_indi > nat ) > $o ) > $o ).
thf(func_def_137,type,
member351225838le_alt: ( arrow_1429601828e_indi > produc1501160679le_alt ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt ) > $o ) > $o ).
thf(func_def_138,type,
member_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(func_def_139,type,
member1391860553e_indi: ( nat > arrow_1429601828e_indi ) > ( ( nat > arrow_1429601828e_indi ) > $o ) > $o ).
thf(func_def_140,type,
member_nat_nat: ( nat > nat ) > ( ( nat > nat ) > $o ) > $o ).
thf(func_def_141,type,
member616671224t_unit: ( nat > product_unit ) > ( ( nat > product_unit ) > $o ) > $o ).
thf(func_def_142,type,
member1536989448_alt_o: ( product_unit > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( ( product_unit > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_143,type,
member283501700_alt_o: ( product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_144,type,
member1661784200_alt_o: ( product_unit > produc1501160679le_alt > $o ) > ( ( product_unit > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_145,type,
member1827227242it_nat: ( product_unit > nat ) > ( ( product_unit > nat ) > $o ) > $o ).
thf(func_def_146,type,
member495332125le_alt: ( product_unit > produc1501160679le_alt ) > ( ( product_unit > produc1501160679le_alt ) > $o ) > $o ).
thf(func_def_147,type,
member377231867_alt_o: ( produc1501160679le_alt > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_148,type,
member1640632174e_indi: ( produc1501160679le_alt > arrow_1429601828e_indi ) > ( ( produc1501160679le_alt > arrow_1429601828e_indi ) > $o ) > $o ).
thf(func_def_149,type,
member593902749t_unit: ( produc1501160679le_alt > product_unit ) > ( ( produc1501160679le_alt > product_unit ) > $o ) > $o ).
thf(func_def_150,type,
member_o: $o > ( $o > $o ) > $o ).
thf(func_def_151,type,
member2052026769e_indi: arrow_1429601828e_indi > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_152,type,
member_nat: nat > ( nat > $o ) > $o ).
thf(func_def_153,type,
member_Product_unit: product_unit > ( product_unit > $o ) > $o ).
thf(func_def_154,type,
member214075476le_alt: produc1501160679le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_155,type,
f: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(func_def_156,type,
lab: produc1501160679le_alt > $o ).
thf(func_def_157,type,
lba: produc1501160679le_alt > $o ).
thf(func_def_158,type,
p: arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_159,type,
a: arrow_475358991le_alt ).
thf(func_def_160,type,
b: arrow_475358991le_alt ).
thf(func_def_161,type,
c: arrow_475358991le_alt ).
thf(func_def_162,type,
d: arrow_475358991le_alt ).
thf(func_def_163,type,
e: arrow_475358991le_alt ).
thf(func_def_164,type,
h: arrow_1429601828e_indi > nat ).
thf(func_def_165,type,
n: nat ).
thf(func_def_167,type,
vAND: $o > $o > $o ).
thf(func_def_170,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_171,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_172,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_173,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_174,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_175,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_176,type,
sP0: arrow_1429601828e_indi > $o ).
thf(func_def_177,type,
sP1: arrow_1429601828e_indi > $o ).
thf(func_def_178,type,
sP2: arrow_1429601828e_indi > $o ).
thf(func_def_179,type,
sP3: arrow_1429601828e_indi > $o ).
thf(func_def_180,type,
sP4: arrow_1429601828e_indi > $o ).
thf(func_def_181,type,
sP5: arrow_1429601828e_indi > $o ).
thf(func_def_182,type,
sP6: arrow_1429601828e_indi > $o ).
thf(func_def_183,type,
sP7: arrow_1429601828e_indi > $o ).
thf(func_def_184,type,
sP8: arrow_1429601828e_indi > $o ).
thf(func_def_185,type,
sP9: arrow_1429601828e_indi > $o ).
thf(func_def_186,type,
sP10: arrow_1429601828e_indi > $o ).
thf(func_def_187,type,
sP11: arrow_1429601828e_indi > $o ).
thf(func_def_188,type,
sP12: arrow_1429601828e_indi > $o ).
thf(func_def_189,type,
sP13: arrow_1429601828e_indi > $o ).
thf(func_def_190,type,
sP14: arrow_1429601828e_indi > $o ).
thf(func_def_191,type,
sP15: arrow_1429601828e_indi > $o ).
thf(func_def_192,type,
sP16: nat > ( nat > $o ) > $o ).
thf(func_def_193,type,
sP17: nat > ( nat > $o ) > $o ).
thf(func_def_194,type,
sP18: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > $o ).
thf(func_def_195,type,
sP19: ( nat > $o ) > ( nat > nat ) > $o ).
thf(func_def_196,type,
sP20: arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_197,type,
sP21: nat > nat > $o ).
thf(func_def_198,type,
sP22: nat > nat > $o ).
thf(func_def_199,type,
sP23: nat > nat > $o ).
thf(func_def_200,type,
sP24: nat > nat > $o ).
thf(func_def_201,type,
sP25: nat > nat > $o ).
thf(func_def_202,type,
sP26: ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_203,type,
sP27: ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_204,type,
sP28: nat > ( nat > $o ) > $o ).
thf(func_def_205,type,
sP29: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > $o ).
thf(func_def_206,type,
sP30: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_207,type,
sP31: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > $o ).
thf(func_def_208,type,
sP32: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_209,type,
sP33: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_210,type,
sP34: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_211,type,
sP35: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_212,type,
sP36: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_213,type,
sP37: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_214,type,
sP38: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_215,type,
sP39: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_216,type,
sP40: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_217,type,
sP41: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_218,type,
sP42: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_219,type,
sK43: nat ).
thf(func_def_220,type,
sK44: arrow_1429601828e_indi > nat ).
thf(func_def_221,type,
sK45: produc1501160679le_alt > $o ).
thf(func_def_222,type,
sK46: produc1501160679le_alt > $o ).
thf(func_def_223,type,
sK47: nat > nat ).
thf(func_def_224,type,
sK48: nat > nat ).
thf(func_def_225,type,
sK49: ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_226,type,
sK50: ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_227,type,
sK51: ( nat > nat ) > nat ).
thf(func_def_228,type,
sK52: ( nat > nat ) > nat ).
thf(func_def_229,type,
sK53: nat > nat ).
thf(func_def_230,type,
sK54: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_231,type,
sK55: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_232,type,
sK56: nat > ( nat > $o ) > nat ).
thf(func_def_233,type,
sK57: ( nat > $o ) > nat ).
thf(func_def_234,type,
sK58: nat > ( nat > $o ) > nat ).
thf(func_def_235,type,
sK59: ( nat > $o ) > nat ).
thf(func_def_236,type,
sK60: nat > nat ).
thf(func_def_237,type,
sK61: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_238,type,
sK62: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_239,type,
sK63: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_240,type,
sK64: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_241,type,
sK65: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_242,type,
sK66: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_243,type,
sK67: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_244,type,
sK68: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_245,type,
sK69: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_246,type,
sK70: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_247,type,
sK71: nat > ( nat > $o ) > nat ).
thf(func_def_248,type,
sK72: nat > ( nat > $o ) > nat ).
thf(func_def_249,type,
sK73: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_250,type,
sK74: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > $o ) > arrow_1429601828e_indi ).
thf(func_def_251,type,
sK75: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_252,type,
sK76: ( nat > $o ) > nat > nat ).
thf(func_def_253,type,
sK77: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_254,type,
sK78: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_255,type,
sK79: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > produc1501160679le_alt > $o ).
thf(func_def_256,type,
sK80: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_257,type,
sK81: ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(func_def_258,type,
sK82: ( nat > nat ) > nat ).
thf(func_def_259,type,
sK83: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_260,type,
sK84: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_261,type,
sK85: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_262,type,
sK86: ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_263,type,
sK87: ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_264,type,
sK88: ( nat > $o ) > nat ).
thf(func_def_265,type,
sK89: ( nat > $o ) > nat ).
thf(func_def_266,type,
sK90: nat > nat > nat ).
thf(func_def_267,type,
sK91: nat > nat > nat ).
thf(func_def_268,type,
sK92: nat > nat > nat ).
thf(func_def_269,type,
sK93: nat > nat ).
thf(func_def_270,type,
sK94: nat > nat > nat ).
thf(func_def_271,type,
sK95: ( arrow_1429601828e_indi > nat ) > ( nat > arrow_1429601828e_indi ) > nat ).
thf(func_def_272,type,
sK96: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_273,type,
sK97: arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_274,type,
sK98: arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_275,type,
sK99: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_276,type,
sK100: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_277,type,
sK101: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_278,type,
sK102: nat > nat > nat ).
thf(func_def_279,type,
sK103: nat > nat > nat ).
thf(func_def_280,type,
sK104: nat > nat > nat ).
thf(func_def_281,type,
sK105: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_282,type,
sK106: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_283,type,
sK107: ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_284,type,
sK108: ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_285,type,
sK109: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_286,type,
sK110: arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_287,type,
sK111: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_288,type,
sK112: ( arrow_1429601828e_indi > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_289,type,
sK113: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_290,type,
sK114: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_291,type,
sK115: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > arrow_1429601828e_indi ).
thf(func_def_292,type,
sK116: ( produc1501160679le_alt > $o ) > ( $o > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_293,type,
sK117: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_294,type,
sK118: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_295,type,
sK119: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o > $o ) > ( produc1501160679le_alt > $o > $o ) > produc1501160679le_alt ).
thf(func_def_296,type,
sK120: ( nat > $o ) > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_297,type,
sK121: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_298,type,
sK122: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_299,type,
sK123: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_300,type,
sK124: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_301,type,
sK125: ( nat > nat ) > nat ).
thf(func_def_302,type,
sK126: ( nat > nat ) > nat ).
thf(func_def_303,type,
sK127: ( nat > nat ) > nat ).
thf(func_def_304,type,
sK128: ( nat > nat ) > nat ).
thf(func_def_305,type,
sK129: nat > ( nat > $o ) > nat ).
thf(func_def_306,type,
sK130: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_307,type,
sK131: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_308,type,
sK132: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_309,type,
sK133: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_310,type,
sK134: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_311,type,
sK135: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_312,type,
sK136: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_313,type,
sK137: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_314,type,
sK138: nat ).
thf(func_def_315,type,
sK139: produc1501160679le_alt > $o ).
thf(func_def_316,type,
vOR: $o > $o > $o ).
thf(func_def_317,type,
vIMP: $o > $o > $o ).
thf(func_def_318,type,
vNOT: $o > $o ).
thf(f4801,plain,
$false,
inference(trivial_inequality_removal,[],[f4800]) ).
thf(f4800,plain,
$true = $false,
inference(forward_demodulation,[],[f4409,f4749]) ).
thf(f4749,plain,
$false = vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(nat,sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),sTfun(nat,sTfun(arrow_1429601828e_indi,$o)),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o))),bCOMB,ord_less_nat),h)),n))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_55669061_mktop),p)),e))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(nat,$o),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o)),bCOMB,vAPP(nat,sTfun(nat,$o),vEQ(nat),n)),h))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))))),bCOMB,arrow_789600939_above),p)),c)),e))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_2054445623_mkbot),p)),e))))),
inference(subsumption_resolution,[],[f4747,f3358]) ).
thf(f3358,plain,
vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)) != $true,
inference(cnf_transformation,[],[f2022]) ).
thf(f2022,plain,
vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)) != $true,
inference(flattening,[],[f709]) ).
thf(f709,plain,
vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)) != $true,
inference(fool_elimination,[],[f708]) ).
thf(f708,plain,
~ vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)),
inference(rectify,[],[f705]) ).
thf(f705,negated_conjecture,
~ vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)),
inference(negated_conjecture,[],[f704]) ).
thf(f704,conjecture,
vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f4747,plain,
( ( vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)) = $true )
| ( $false = vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(nat,sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),sTfun(nat,sTfun(arrow_1429601828e_indi,$o)),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o))),bCOMB,ord_less_nat),h)),n))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_55669061_mktop),p)),e))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(nat,$o),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o)),bCOMB,vAPP(nat,sTfun(nat,$o),vEQ(nat),n)),h))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))))),bCOMB,arrow_789600939_above),p)),c)),e))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_2054445623_mkbot),p)),e))))) ) ),
inference(binary_proxy_clausification,[],[f3372]) ).
thf(f3372,plain,
vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)) = vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(nat,sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),sTfun(nat,sTfun(arrow_1429601828e_indi,$o)),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o))),bCOMB,ord_less_nat),h)),n))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_55669061_mktop),p)),e))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(nat,$o),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o)),bCOMB,vAPP(nat,sTfun(nat,$o),vEQ(nat),n)),h))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))))),bCOMB,arrow_789600939_above),p)),c)),e))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_2054445623_mkbot),p)),e))))),
inference(cnf_transformation,[],[f727]) ).
thf(f727,plain,
vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p)) = vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(nat,sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),sTfun(nat,sTfun(arrow_1429601828e_indi,$o)),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o))),bCOMB,ord_less_nat),h)),n))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_55669061_mktop),p)),e))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(nat,$o),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o)),bCOMB,vAPP(nat,sTfun(nat,$o),vEQ(nat),n)),h))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))))),bCOMB,arrow_789600939_above),p)),c)),e))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_2054445623_mkbot),p)),e))))),
inference(fool_elimination,[],[f726]) ).
thf(f726,plain,
( vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p))
<=> vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),
vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,
^ [X0: arrow_1429601828e_indi] : vAPP(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)),vAPP($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),if_Pro1561232536_alt_o,vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(arrow_1429601828e_indi,nat,h,X0)),n)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),arrow_55669061_mktop,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X0)),e)),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)),vAPP($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),if_Pro1561232536_alt_o,n = vAPP(arrow_1429601828e_indi,nat,h,X0)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),arrow_789600939_above,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X0)),c),e)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),arrow_2054445623_mkbot,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X0)),e))))) ),
inference(rectify,[],[f15]) ).
thf(f15,axiom,
( vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,p))
<=> vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),
vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,
^ [X10: arrow_1429601828e_indi] : vAPP(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)),vAPP($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),if_Pro1561232536_alt_o,vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(arrow_1429601828e_indi,nat,h,X10)),n)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),arrow_55669061_mktop,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X10)),e)),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)),vAPP($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),if_Pro1561232536_alt_o,vAPP(arrow_1429601828e_indi,nat,h,X10) = n),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),arrow_789600939_above,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X10)),c),e)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),arrow_2054445623_mkbot,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X10)),e))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).
thf(f4409,plain,
$true = vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(nat,sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),sTfun(nat,sTfun(arrow_1429601828e_indi,$o)),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o))),bCOMB,ord_less_nat),h)),n))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_55669061_mktop),p)),e))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(nat,$o),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o)),bCOMB,vAPP(nat,sTfun(nat,$o),vEQ(nat),n)),h))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))))),bCOMB,arrow_789600939_above),p)),c)),e))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_2054445623_mkbot),p)),e))))),
inference(cnf_transformation,[],[f2013]) ).
thf(f2013,plain,
$true = vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(nat,sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),sTfun(nat,sTfun(arrow_1429601828e_indi,$o)),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o)),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,sTfun(nat,$o))),bCOMB,ord_less_nat),h)),n))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_55669061_mktop),p)),e))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sCOMB,vAPP(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,$o),sTfun(arrow_1429601828e_indi,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))))),bCOMB,if_Pro1561232536_alt_o),vAPP(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o),vAPP(sTfun(nat,$o),sTfun(sTfun(arrow_1429601828e_indi,nat),sTfun(arrow_1429601828e_indi,$o)),bCOMB,vAPP(nat,sTfun(nat,$o),vEQ(nat),n)),h))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))))),bCOMB,arrow_789600939_above),p)),c)),e))),vAPP(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(arrow_475358991le_alt,sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o))),cCOMB,vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),vAPP(sTfun(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),sTfun(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(arrow_1429601828e_indi,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)))),bCOMB,arrow_2054445623_mkbot),p)),e))))),
inference(fool_elimination,[],[f2012]) ).
thf(f2012,plain,
vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),
vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,
^ [X0: arrow_1429601828e_indi] : vAPP(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)),vAPP($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),if_Pro1561232536_alt_o,vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(arrow_1429601828e_indi,nat,h,X0)),n)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),arrow_55669061_mktop,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X0)),e)),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)),vAPP($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),if_Pro1561232536_alt_o,n = vAPP(arrow_1429601828e_indi,nat,h,X0)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),arrow_789600939_above,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X0)),c),e)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),arrow_2054445623_mkbot,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X0)),e))))),
inference(rectify,[],[f14]) ).
thf(f14,axiom,
vAPP(sTfun(produc1501160679le_alt,$o),$o,vAPP(produc1501160679le_alt,sTfun(sTfun(produc1501160679le_alt,$o),$o),member214075476le_alt,vAPP(arrow_475358991le_alt,produc1501160679le_alt,vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,produc1501160679le_alt),produc1347929815le_alt,c),d)),
vAPP(sTfun(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o)),sTfun(produc1501160679le_alt,$o),f,
^ [X10: arrow_1429601828e_indi] : vAPP(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)),vAPP($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),if_Pro1561232536_alt_o,vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_nat,vAPP(arrow_1429601828e_indi,nat,h,X10)),n)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),arrow_55669061_mktop,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X10)),e)),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o)),vAPP($o,sTfun(sTfun(produc1501160679le_alt,$o),sTfun(sTfun(produc1501160679le_alt,$o),sTfun(produc1501160679le_alt,$o))),if_Pro1561232536_alt_o,vAPP(arrow_1429601828e_indi,nat,h,X10) = n),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o))),arrow_789600939_above,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X10)),c),e)),vAPP(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o),vAPP(sTfun(produc1501160679le_alt,$o),sTfun(arrow_475358991le_alt,sTfun(produc1501160679le_alt,$o)),arrow_2054445623_mkbot,vAPP(arrow_1429601828e_indi,sTfun(produc1501160679le_alt,$o),p,X10)),e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SCT171^2 : TPTP v8.2.0. Released v5.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 00:00:37 EDT 2024
% 0.18/0.35 % CPUTime :
% 0.18/0.36 % (6000)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (6001)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.41 % (6003)WARNING: value z3 for option sas not known
% 0.18/0.42 % (6007)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)
% 0.18/0.42 % (6006)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)
% 0.18/0.42 % (6003)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)
% 0.18/0.42 % (6002)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.42 % (6005)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)
% 0.18/0.42 % (6004)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.47 % Exception at run slice level
% 0.19/0.47 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.48 % (6007)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.48 % Exception at run slice level
% 0.19/0.48 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.49 % (6008)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.19/0.49 % (6009)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)
% 0.19/0.51 % Exception at run slice level
% 0.19/0.51 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.52 % (6010)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)
% 0.19/0.53 % (6008)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.19/0.55 % (6007)First to succeed.
% 1.19/0.55 % (6007)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6000"
% 1.19/0.55 % (6007)Refutation found. Thanks to Tanya!
% 1.19/0.55 % SZS status Theorem for theBenchmark
% 1.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.55 % (6007)------------------------------
% 1.19/0.55 % (6007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.19/0.55 % (6007)Termination reason: Refutation
% 1.19/0.55
% 1.19/0.55 % (6007)Memory used [KB]: 3552
% 1.19/0.55 % (6007)Time elapsed: 0.137 s
% 1.19/0.55 % (6007)Instructions burned: 362 (million)
% 1.19/0.55 % (6000)Success in time 0.196 s
%------------------------------------------------------------------------------