%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT171^2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:21:49 AM UTC 2026
% Result : Theorem 2.76s 0.67s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 14 unt; 0 typ; 1 def)
% Number of atoms : 213 ( 25 equ; 0 cnn)
% Maximal formula atoms : 15 ( 8 avg)
% Number of connectives : 372 ( 10 ~; 4 |; 0 &; 355 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 312 ( 309 usr; 14 con; 0-6 aty)
% Number of variables : 12 ( 0 sgn 0 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
arrow_475358991le_alt: $tType ).
thf(type_def_6,type,
arrow_1429601828e_indi: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
product_unit: $tType ).
thf(type_def_9,type,
produc1501160679le_alt: $tType ).
thf(type_def_10,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
all: ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_1,type,
arrow_797024463le_IIA: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_2,type,
arrow_823908191le_Lin: ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_3,type,
arrow_734252939e_Prof: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_4,type,
arrow_789600939_above: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_5,type,
arrow_2098199487_below: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_6,type,
arrow_1212662430ctator: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > $o ).
thf(func_def_7,type,
arrow_2054445623_mkbot: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_8,type,
arrow_55669061_mktop: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_9,type,
arrow_1706409458nimity: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_10,type,
finite120663670_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > nat ).
thf(func_def_11,type,
finite28306938_alt_o: ( ( produc1501160679le_alt > $o ) > $o ) > nat ).
thf(func_def_12,type,
finite_card_o: ( $o > $o ) > nat ).
thf(func_def_13,type,
finite97476818e_indi: ( arrow_1429601828e_indi > $o ) > nat ).
thf(func_def_14,type,
finite_card_nat: ( nat > $o ) > nat ).
thf(func_def_15,type,
finite1949902593t_unit: ( product_unit > $o ) > nat ).
thf(func_def_16,type,
finite537683861le_alt: ( produc1501160679le_alt > $o ) > nat ).
thf(func_def_17,type,
finite1956767223_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_18,type,
finite2112685307_alt_o: ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_19,type,
finite_finite_o: ( $o > $o ) > $o ).
thf(func_def_20,type,
finite664979089e_indi: ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_21,type,
finite_finite_nat: ( nat > $o ) > $o ).
thf(func_def_22,type,
finite449174868le_alt: ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_23,type,
in_rel1252994498le_alt: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > $o ).
thf(func_def_24,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_25,type,
inj_on743426285_alt_o: ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_26,type,
inj_on1877294875e_indi: ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_27,type,
inj_on867909093le_alt: ( $o > produc1501160679le_alt ) > ( $o > $o ) > $o ).
thf(func_def_28,type,
inj_on1190919077_alt_o: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_29,type,
inj_on978774663di_nat: ( arrow_1429601828e_indi > nat ) > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_30,type,
inj_on_nat_nat: ( nat > nat ) > ( nat > $o ) > $o ).
thf(func_def_31,type,
inj_on1911943593_alt_o: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_32,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_33,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_34,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_35,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_36,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_37,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_38,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_39,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_40,type,
pi_Pro422690258lt_o_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_41,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_42,type,
pi_Pro1306850800t_unit: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > product_unit > $o ) > ( ( produc1501160679le_alt > $o ) > product_unit ) > $o ).
thf(func_def_43,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_44,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_45,type,
pi_o_P553196292_alt_o: ( $o > $o ) > ( $o > ( produc1501160679le_alt > $o ) > $o ) > ( $o > produc1501160679le_alt > $o ) > $o ).
thf(func_def_46,type,
pi_o_nat: ( $o > $o ) > ( $o > nat > $o ) > ( $o > nat ) > $o ).
thf(func_def_47,type,
pi_o_P657324555le_alt: ( $o > $o ) > ( $o > produc1501160679le_alt > $o ) > ( $o > produc1501160679le_alt ) > $o ).
thf(func_def_48,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_49,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_50,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_51,type,
pi_Arr251692973di_nat: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat > $o ) > ( arrow_1429601828e_indi > nat ) > $o ).
thf(func_def_52,type,
pi_Arr329216900le_alt: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt ) > $o ).
thf(func_def_53,type,
pi_nat_o: ( nat > $o ) > ( nat > $o > $o ) > ( nat > $o ) > $o ).
thf(func_def_54,type,
pi_nat1219304995e_indi: ( nat > $o ) > ( nat > arrow_1429601828e_indi > $o ) > ( nat > arrow_1429601828e_indi ) > $o ).
thf(func_def_55,type,
pi_nat_nat: ( nat > $o ) > ( nat > nat > $o ) > ( nat > nat ) > $o ).
thf(func_def_56,type,
pi_nat_Product_unit: ( nat > $o ) > ( nat > product_unit > $o ) > ( nat > product_unit ) > $o ).
thf(func_def_57,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_58,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_59,type,
pi_Pro1312660828_alt_o: ( product_unit > $o ) > ( product_unit > ( produc1501160679le_alt > $o ) > $o ) > ( product_unit > produc1501160679le_alt > $o ) > $o ).
thf(func_def_60,type,
pi_Product_unit_nat: ( product_unit > $o ) > ( product_unit > nat > $o ) > ( product_unit > nat ) > $o ).
thf(func_def_61,type,
pi_Pro701847987le_alt: ( product_unit > $o ) > ( product_unit > produc1501160679le_alt > $o ) > ( product_unit > produc1501160679le_alt ) > $o ).
thf(func_def_62,type,
pi_Pro1701359055_alt_o: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_63,type,
pi_Pro1767455108e_indi: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > arrow_1429601828e_indi > $o ) > ( produc1501160679le_alt > arrow_1429601828e_indi ) > $o ).
thf(func_def_64,type,
pi_Pro1475896499t_unit: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > product_unit > $o ) > ( produc1501160679le_alt > product_unit ) > $o ).
thf(func_def_65,type,
one_one_nat: nat ).
thf(func_def_66,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_67,type,
zero_zero_nat: nat ).
thf(func_def_68,type,
hilber598459244di_nat: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > nat > arrow_1429601828e_indi ).
thf(func_def_69,type,
hilber195283148at_nat: ( nat > $o ) > ( nat > nat ) > nat > nat ).
thf(func_def_70,type,
if_Pro1561232536_alt_o: $o > ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(func_def_71,type,
suc: nat > nat ).
thf(func_def_72,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_73,type,
ord_le157835011lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_74,type,
ord_le910298367lt_o_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_75,type,
ord_less_o_o: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_76,type,
ord_le777687553indi_o: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_77,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_78,type,
ord_le232288914unit_o: ( product_unit > $o ) > ( product_unit > $o ) > $o ).
thf(func_def_79,type,
ord_le988258430_alt_o: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_80,type,
ord_less_o: $o > $o > $o ).
thf(func_def_81,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_82,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_83,type,
ord_le1992928527lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_84,type,
ord_le1063113995lt_o_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_85,type,
ord_less_eq_o_o: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_86,type,
ord_le2080035663_alt_o: ( arrow_475358991le_alt > arrow_475358991le_alt > $o ) > ( arrow_475358991le_alt > arrow_475358991le_alt > $o ) > $o ).
thf(func_def_87,type,
ord_le1799070453indi_o: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_88,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_89,type,
ord_le1511552390unit_o: ( product_unit > $o ) > ( product_unit > $o ) > $o ).
thf(func_def_90,type,
ord_le97612146_alt_o: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_91,type,
ord_less_eq_o: $o > $o > $o ).
thf(func_def_92,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_93,type,
top_to1969627639lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > $o ).
thf(func_def_94,type,
top_to2122763103lt_o_o: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_95,type,
top_to1842727771lt_o_o: ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_96,type,
top_top_o_o: $o > $o ).
thf(func_def_97,type,
top_to988227749indi_o: arrow_1429601828e_indi > $o ).
thf(func_def_98,type,
top_top_nat_o: nat > $o ).
thf(func_def_99,type,
top_to1984820022unit_o: product_unit > $o ).
thf(func_def_100,type,
top_to1841428258_alt_o: produc1501160679le_alt > $o ).
thf(func_def_101,type,
top_top_o: $o ).
thf(func_def_102,type,
produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt ).
thf(func_def_103,type,
ord_at4362885an_nat: nat > nat > nat > $o ).
thf(func_def_104,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_105,type,
collec682858041_alt_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_106,type,
collec94295101_alt_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_107,type,
collec22405327e_indi: ( arrow_1429601828e_indi > $o ) > arrow_1429601828e_indi > $o ).
thf(func_def_108,type,
collect_nat: ( nat > $o ) > nat > $o ).
thf(func_def_109,type,
collect_Product_unit: ( product_unit > $o ) > product_unit > $o ).
thf(func_def_110,type,
collec869865362le_alt: ( produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(func_def_111,type,
image_484224243di_nat: ( arrow_1429601828e_indi > nat ) > ( arrow_1429601828e_indi > $o ) > nat > $o ).
thf(func_def_112,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_113,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_114,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_115,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_116,type,
member939334982lt_o_o: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ) > $o ).
thf(func_def_117,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_118,type,
member843528338t_unit: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > product_unit ) > ( ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > product_unit ) > $o ) > $o ).
thf(func_def_119,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_120,type,
member1961363906lt_o_o: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( ( produc1501160679le_alt > $o ) > $o ) > $o ) > $o ).
thf(func_def_121,type,
member304866663e_indi: ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > ( ( ( produc1501160679le_alt > $o ) > arrow_1429601828e_indi ) > $o ) > $o ).
thf(func_def_122,type,
member221730070t_unit: ( ( produc1501160679le_alt > $o ) > product_unit ) > ( ( ( produc1501160679le_alt > $o ) > product_unit ) > $o ) > $o ).
thf(func_def_123,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_124,type,
member1394214384_alt_o: ( $o > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( $o > arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_125,type,
member1862122484_alt_o: ( $o > produc1501160679le_alt > $o ) > ( ( $o > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_126,type,
member_o_nat: ( $o > nat ) > ( ( $o > nat ) > $o ) > $o ).
thf(func_def_127,type,
member492167345le_alt: ( $o > produc1501160679le_alt ) > ( ( $o > produc1501160679le_alt ) > $o ) > $o ).
thf(func_def_128,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_129,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_130,type,
member526088951_alt_o: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_131,type,
member1315464153di_nat: ( arrow_1429601828e_indi > nat ) > ( ( arrow_1429601828e_indi > nat ) > $o ) > $o ).
thf(func_def_132,type,
member351225838le_alt: ( arrow_1429601828e_indi > produc1501160679le_alt ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt ) > $o ) > $o ).
thf(func_def_133,type,
member_nat_o: ( nat > $o ) > ( ( nat > $o ) > $o ) > $o ).
thf(func_def_134,type,
member1391860553e_indi: ( nat > arrow_1429601828e_indi ) > ( ( nat > arrow_1429601828e_indi ) > $o ) > $o ).
thf(func_def_135,type,
member_nat_nat: ( nat > nat ) > ( ( nat > nat ) > $o ) > $o ).
thf(func_def_136,type,
member616671224t_unit: ( nat > product_unit ) > ( ( nat > product_unit ) > $o ) > $o ).
thf(func_def_137,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_138,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_139,type,
member1661784200_alt_o: ( product_unit > produc1501160679le_alt > $o ) > ( ( product_unit > produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_140,type,
member1827227242it_nat: ( product_unit > nat ) > ( ( product_unit > nat ) > $o ) > $o ).
thf(func_def_141,type,
member495332125le_alt: ( product_unit > produc1501160679le_alt ) > ( ( product_unit > produc1501160679le_alt ) > $o ) > $o ).
thf(func_def_142,type,
member377231867_alt_o: ( produc1501160679le_alt > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > $o ).
thf(func_def_143,type,
member1640632174e_indi: ( produc1501160679le_alt > arrow_1429601828e_indi ) > ( ( produc1501160679le_alt > arrow_1429601828e_indi ) > $o ) > $o ).
thf(func_def_144,type,
member593902749t_unit: ( produc1501160679le_alt > product_unit ) > ( ( produc1501160679le_alt > product_unit ) > $o ) > $o ).
thf(func_def_145,type,
member_o: $o > ( $o > $o ) > $o ).
thf(func_def_146,type,
member2052026769e_indi: arrow_1429601828e_indi > ( arrow_1429601828e_indi > $o ) > $o ).
thf(func_def_147,type,
member_nat: nat > ( nat > $o ) > $o ).
thf(func_def_148,type,
member_Product_unit: product_unit > ( product_unit > $o ) > $o ).
thf(func_def_149,type,
member214075476le_alt: produc1501160679le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_150,type,
f: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(func_def_151,type,
lab: produc1501160679le_alt > $o ).
thf(func_def_152,type,
lba: produc1501160679le_alt > $o ).
thf(func_def_153,type,
p: arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_154,type,
a: arrow_475358991le_alt ).
thf(func_def_155,type,
b: arrow_475358991le_alt ).
thf(func_def_156,type,
c: arrow_475358991le_alt ).
thf(func_def_157,type,
d: arrow_475358991le_alt ).
thf(func_def_158,type,
e: arrow_475358991le_alt ).
thf(func_def_159,type,
h: arrow_1429601828e_indi > nat ).
thf(func_def_160,type,
n: nat ).
thf(func_def_162,type,
vAND: $o > $o > $o ).
thf(func_def_165,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_166,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_167,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_168,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_169,type,
sP0: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > $o ).
thf(func_def_170,type,
sP1: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_171,type,
sP2: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > $o ).
thf(func_def_172,type,
sP3: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_173,type,
sP4: arrow_1429601828e_indi > $o ).
thf(func_def_174,type,
sP5: arrow_1429601828e_indi > $o ).
thf(func_def_175,type,
sP6: arrow_1429601828e_indi > $o ).
thf(func_def_176,type,
sP7: arrow_1429601828e_indi > $o ).
thf(func_def_177,type,
sP8: arrow_1429601828e_indi > $o ).
thf(func_def_178,type,
sP9: arrow_1429601828e_indi > $o ).
thf(func_def_179,type,
sP10: arrow_1429601828e_indi > $o ).
thf(func_def_180,type,
sP11: arrow_1429601828e_indi > $o ).
thf(func_def_181,type,
sP12: arrow_1429601828e_indi > $o ).
thf(func_def_182,type,
sP13: arrow_1429601828e_indi > $o ).
thf(func_def_183,type,
sP14: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_184,type,
sP15: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_185,type,
sP16: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_186,type,
sP17: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_187,type,
sP18: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_188,type,
sP19: arrow_1429601828e_indi > $o ).
thf(func_def_189,type,
sP20: arrow_1429601828e_indi > $o ).
thf(func_def_190,type,
sP21: arrow_1429601828e_indi > $o ).
thf(func_def_191,type,
sP22: arrow_1429601828e_indi > $o ).
thf(func_def_192,type,
sP23: arrow_1429601828e_indi > $o ).
thf(func_def_193,type,
sP24: arrow_1429601828e_indi > $o ).
thf(func_def_194,type,
sP25: arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ).
thf(func_def_195,type,
sP26: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_196,type,
sP27: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_197,type,
sP28: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_198,type,
sP29: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_199,type,
sP30: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(func_def_200,type,
sP31: ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_201,type,
sP32: ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_202,type,
sP33: ( nat > $o ) > ( nat > nat ) > $o ).
thf(func_def_203,type,
sP34: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > $o ).
thf(func_def_204,type,
sP35: nat > ( nat > $o ) > $o ).
thf(func_def_205,type,
sP36: nat > ( nat > $o ) > $o ).
thf(func_def_206,type,
sP37: nat > nat > $o ).
thf(func_def_207,type,
sP38: nat > nat > $o ).
thf(func_def_208,type,
sP39: nat > nat > $o ).
thf(func_def_209,type,
sP40: nat > nat > $o ).
thf(func_def_210,type,
sP41: nat > nat > $o ).
thf(func_def_211,type,
sP42: nat > ( nat > $o ) > $o ).
thf(func_def_212,type,
sK43: 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_213,type,
sK44: 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_214,type,
sK45: 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_215,type,
sK46: 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_216,type,
sK47: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_217,type,
sK48: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_218,type,
sK49: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_219,type,
sK50: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_220,type,
sK51: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_221,type,
sK52: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_222,type,
sK53: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_223,type,
sK54: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_224,type,
sK55: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_225,type,
sK56: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_226,type,
sK57: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_227,type,
sK58: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_228,type,
sK59: produc1501160679le_alt > $o ).
thf(func_def_229,type,
sK60: produc1501160679le_alt > $o ).
thf(func_def_230,type,
sK61: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_231,type,
sK62: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_232,type,
sK63: arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_233,type,
sK64: arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).
thf(func_def_234,type,
sK65: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_235,type,
sK66: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(func_def_236,type,
sK67: nat ).
thf(func_def_237,type,
sK68: nat ).
thf(func_def_238,type,
sK69: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_239,type,
sK70: ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_240,type,
sK71: ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_241,type,
sK72: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_242,type,
sK73: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_243,type,
sK74: arrow_1429601828e_indi > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_244,type,
sK75: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_245,type,
sK76: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_246,type,
sK77: ( ( 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_247,type,
sK78: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_248,type,
sK79: ( arrow_1429601828e_indi > nat ) > ( nat > arrow_1429601828e_indi ) > nat ).
thf(func_def_249,type,
sK80: ( nat > nat ) > nat ).
thf(func_def_250,type,
sK81: ( nat > nat ) > nat ).
thf(func_def_251,type,
sK82: ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_252,type,
sK83: ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_253,type,
sK84: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_254,type,
sK85: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o > $o ) > ( produc1501160679le_alt > $o > $o ) > produc1501160679le_alt ).
thf(func_def_255,type,
sK86: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > arrow_1429601828e_indi ).
thf(func_def_256,type,
sK87: ( ( 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_257,type,
sK88: ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_258,type,
sK89: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_259,type,
sK90: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > $o ) > arrow_1429601828e_indi ).
thf(func_def_260,type,
sK91: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_261,type,
sK92: ( ( produc1501160679le_alt > $o ) > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > produc1501160679le_alt > $o ).
thf(func_def_262,type,
sK93: ( ( ( 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_263,type,
sK94: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(func_def_264,type,
sK95: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_265,type,
sK96: nat > nat > nat ).
thf(func_def_266,type,
sK97: ( nat > nat ) > nat ).
thf(func_def_267,type,
sK98: ( nat > nat ) > nat ).
thf(func_def_268,type,
sK99: ( nat > nat ) > nat ).
thf(func_def_269,type,
sK100: ( nat > nat ) > nat ).
thf(func_def_270,type,
sK101: ( produc1501160679le_alt > $o ) > ( $o > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_271,type,
sK102: ( arrow_1429601828e_indi > $o ) > ( ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_272,type,
sK103: ( ( 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_273,type,
sK104: produc1501160679le_alt > $o ).
thf(func_def_274,type,
sK105: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_275,type,
sK106: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_276,type,
sK107: ( ( 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_277,type,
sK108: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt ).
thf(func_def_278,type,
sK109: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > ( produc1501160679le_alt > $o ) > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).
thf(func_def_279,type,
sK110: ( ( 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_280,type,
sK111: ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_281,type,
sK112: ( nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_282,type,
sK113: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_283,type,
sK114: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_284,type,
sK115: ( nat > $o ) > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_285,type,
sK116: ( arrow_1429601828e_indi > $o ) > ( arrow_1429601828e_indi > nat ) > ( arrow_1429601828e_indi > nat ) > arrow_1429601828e_indi ).
thf(func_def_286,type,
sK117: nat > ( nat > $o ) > nat ).
thf(func_def_287,type,
sK118: ( nat > $o ) > nat ).
thf(func_def_288,type,
sK119: nat > ( nat > $o ) > nat ).
thf(func_def_289,type,
sK120: ( nat > $o ) > nat ).
thf(func_def_290,type,
sK121: ( nat > nat ) > nat ).
thf(func_def_291,type,
sK122: ( nat > $o ) > nat > nat ).
thf(func_def_292,type,
sK123: nat > ( nat > $o ) > nat ).
thf(func_def_293,type,
sK124: nat > ( nat > $o ) > nat ).
thf(func_def_294,type,
sK125: nat > nat > nat ).
thf(func_def_295,type,
sK126: nat > nat > nat ).
thf(func_def_296,type,
sK127: nat > nat ).
thf(func_def_297,type,
sK128: nat > nat > nat ).
thf(func_def_298,type,
sK129: nat > ( nat > $o ) > nat ).
thf(func_def_299,type,
sK130: nat > nat > nat ).
thf(func_def_300,type,
sK131: nat > nat ).
thf(func_def_301,type,
sK132: nat > nat ).
thf(func_def_302,type,
sK133: nat > nat > nat ).
thf(func_def_303,type,
sK134: nat > nat > nat ).
thf(func_def_304,type,
sK135: nat > nat ).
thf(func_def_305,type,
sK136: nat > nat ).
thf(func_def_306,type,
sK137: ( nat > $o ) > nat ).
thf(func_def_307,type,
sK138: ( nat > $o ) > nat ).
thf(func_def_308,type,
sK139: arrow_1429601828e_indi > nat ).
thf(func_def_309,type,
vNOT: $o > $o ).
thf(f14,axiom,
( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [X0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ X0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ X0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ X0 )
= n )
@ ( arrow_789600939_above @ ( p @ X0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X0 ) @ e ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
thf(f15,axiom,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
<=> ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [X0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ X0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ X0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ X0 )
= n )
@ ( arrow_789600939_above @ ( p @ X0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X0 ) @ e ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).
thf(f704,conjecture,
member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f705,negated_conjecture,
~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ),
inference(negated_conjecture,[status(cth)],[f704]) ).
thf(f730,plain,
( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [X0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ X0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ X0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ X0 )
= n )
@ ( arrow_789600939_above @ ( p @ X0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X0 ) @ e ) ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f731,plain,
( $true
= ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Y0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Y0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Y0 )
= n )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ),
inference(fool_elimination,[],[f730]) ).
thf(f732,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
<=> ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [X0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ X0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ X0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ X0 )
= n )
@ ( arrow_789600939_above @ ( p @ X0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X0 ) @ e ) ) ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f733,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
= ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Y0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Y0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Y0 )
= n )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ),
inference(fool_elimination,[],[f732]) ).
thf(f2019,plain,
~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ),
inference(rectify,[],[f705]) ).
thf(f2020,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
!= $true ),
inference(fool_elimination,[],[f2019]) ).
thf(f2143,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
!= $true ),
inference(flattening,[],[f2020]) ).
thf(f3277,plain,
( $true
= ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Y0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Y0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Y0 )
= n )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ),
inference(cnf_transformation,[],[f731]) ).
thf(f3278,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
= ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Y0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Y0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Y0 )
= n )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ),
inference(cnf_transformation,[],[f733]) ).
thf(f4286,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
!= $true ),
inference(cnf_transformation,[],[f2143]) ).
thf(f4732,plain,
( ( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
= $true )
| ( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Y0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Y0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Y0 )
= n )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f3278]) ).
thf(f4968,definition,
( spl140_39
<=> ( $true
= ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Y0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Y0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Y0 )
= n )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl140_39])],[avatar_definition]) ).
thf(f4970,plain,
( ( $true
= ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Y0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Y0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Y0 )
= n )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) )
| ~ spl140_39 ),
inference(avatar_component_clause,[],[f4968]) ).
thf(f4976,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Y0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Y0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Y0 )
= n )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
= $false ),
inference(forward_subsumption_resolution,[],[f4732,f4286]) ).
thf(f4977,plain,
spl140_39,
inference(avatar_split_clause,[],[f3277,f4968]) ).
thf(f5038,plain,
( ( $true = $false )
| ~ spl140_39 ),
inference(forward_demodulation,[],[f4970,f4976]) ).
thf(f5039,plain,
( $false
| ~ spl140_39 ),
inference(trivial_inequality_removal,[],[f5038]) ).
thf(f5040,plain,
~ spl140_39,
inference(avatar_contradiction_clause,[],[f5039]) ).
cnf(s46,plain,
spl140_39,
inference(sat_conversion,[],[f4977]) ).
cnf(s50,plain,
~ spl140_39,
inference(sat_conversion,[],[f5040]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s46,s50]) ).
thf(f5041,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT171^2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:34:05 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.76/0.67 % (1283514)Will run a generic schedule for satisfiability detection.
% 2.76/0.67 % (1283533)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=831420210:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.76/0.67 % (1283529)% WARNING: option uhcvi not known.
% 2.76/0.67 % (1283529)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2734611370:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.76/0.67 % (1283528)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2192819776_2999 on theBenchmark for (2999ds/0Mi)
% 2.76/0.67 % (1283530)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2002648502:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.76/0.67 % (1283531)dis+10_1_sil=32000:sp=arity:random_seed=4083985226:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.76/0.67 % (1283532)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=594010499:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.76/0.67 % (1283534)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2644687117:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.76/0.67 % (1283533)Instruction limit reached!
% 2.76/0.67 % (1283533)------------------------------
% 2.76/0.67 % (1283533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.67 % (1283533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.67 % (1283533)CaDiCaL version: 2.1.3
% 2.76/0.67 % (1283533)Termination reason: Instruction limit
% 2.76/0.67 % (1283533)Termination phase: Property scanning
% 2.76/0.67 % (1283533)Time elapsed: 0.030 s
% 2.76/0.67 % (1283533)Peak memory usage: 12 MB
% 2.76/0.67 % (1283533)Instructions burned: 134 (million)
% 2.76/0.67 % (1283554)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1437642313:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.76/0.67 % (1283532)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.76/0.67 % (1283529)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.76/0.67 % (1283531)Instruction limit reached!
% 2.76/0.67 % (1283531)------------------------------
% 2.76/0.67 % (1283531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.67 % (1283531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.67 % (1283531)CaDiCaL version: 2.1.3
% 2.76/0.67 % (1283531)Termination reason: Instruction limit
% 2.76/0.67 % (1283531)Termination phase: Property scanning
% 2.76/0.67 % (1283531)Time elapsed: 0.044 s
% 2.76/0.67 % (1283531)Peak memory usage: 12 MB
% 2.76/0.67 % (1283531)Instructions burned: 104 (million)
% 2.76/0.67 % (1283532)Instruction limit reached!
% 2.76/0.67 % (1283532)------------------------------
% 2.76/0.67 % (1283532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.67 % (1283532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.67 % (1283532)CaDiCaL version: 2.1.3
% 2.76/0.67 % (1283532)Termination reason: Instruction limit
% 2.76/0.67 % (1283532)Termination phase: Property scanning
% 2.76/0.67 % (1283532)Time elapsed: 0.049 s
% 2.76/0.67 % (1283532)Peak memory usage: 12 MB
% 2.76/0.67 % (1283532)Instructions burned: 117 (million)
% 2.76/0.67 % (1283563)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1062657053:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.76/0.67 % (1283534)Instruction limit reached!
% 2.76/0.67 % (1283534)------------------------------
% 2.76/0.67 % (1283534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.67 % (1283534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.67 % (1283534)CaDiCaL version: 2.1.3
% 2.76/0.67 % (1283534)Termination reason: Instruction limit
% 2.76/0.67 % (1283534)Termination phase: Property scanning
% 2.76/0.67 % (1283534)Time elapsed: 0.066 s
% 2.76/0.67 % (1283534)Peak memory usage: 12 MB
% 2.76/0.67 % (1283534)Instructions burned: 159 (million)
% 2.76/0.67 % (1283566)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2177336076:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.76/0.67 % Exception at run slice level
% 2.76/0.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.76/0.67 % Exception at run slice level
% 2.76/0.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.76/0.67 % (1283529)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.76/0.67 % (1283574)ott-21_1_sil=16000:fs=off:random_seed=1805868236:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.76/0.67 % (1283580)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=245126292:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.76/0.67 % (1283579)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1081435225:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.76/0.67 % (1283566)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.76/0.67 % (1283563)Instruction limit reached!
% 2.76/0.67 % (1283563)------------------------------
% 2.76/0.67 % (1283563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.67 % (1283563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.67 % (1283563)CaDiCaL version: 2.1.3
% 2.76/0.67 % (1283563)Termination reason: Instruction limit
% 2.76/0.67 % (1283563)Termination phase: Property scanning
% 2.76/0.67 % (1283563)Time elapsed: 0.054 s
% 2.76/0.67 % (1283563)Peak memory usage: 12 MB
% 2.76/0.67 % (1283563)Instructions burned: 131 (million)
% 2.76/0.67 % Exception at run slice level
% 2.76/0.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.76/0.67 % (1283606)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2864636925:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.76/0.67 % (1283605)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3496329223:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.76/0.67 % (1283566)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.76/0.67 % (1283574)Instruction limit reached!
% 2.76/0.67 % (1283574)------------------------------
% 2.76/0.67 % (1283574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.67 % (1283574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.67 % (1283574)CaDiCaL version: 2.1.3
% 2.76/0.67 % (1283574)Termination reason: Instruction limit
% 2.76/0.67 % (1283574)Termination phase: Property scanning
% 2.76/0.67 % (1283574)Time elapsed: 0.075 s
% 2.76/0.67 % (1283574)Peak memory usage: 12 MB
% 2.76/0.67 % (1283574)Instructions burned: 182 (million)
% 2.76/0.67 % (1283615)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3071690680:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.76/0.67 % Exception at run slice level
% 2.76/0.67 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.76/0.67 % (1283623)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=662025660:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 2.76/0.67 % (1283615)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.76/0.67 % (1283623)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.76/0.67 % (1283579)Instruction limit reached!
% 2.76/0.67 % (1283579)------------------------------
% 2.76/0.67 % (1283579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.67 % (1283579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.67 % (1283579)CaDiCaL version: 2.1.3
% 2.76/0.67 % (1283579)Termination reason: Instruction limit
% 2.76/0.67 % (1283579)Termination phase: Saturation
% 2.76/0.67 % (1283579)Time elapsed: 0.235 s
% 2.76/0.67 % (1283579)Peak memory usage: 15 MB
% 2.76/0.67 % (1283579)Instructions burned: 478 (million)
% 2.76/0.67 % (1283658)fmb+10_1_sil=64000:random_seed=954827218:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 2.76/0.67 % (1283615) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1283514-1283615"...
% 2.76/0.67 % (1283615)...printing done.
% 2.76/0.67 % (1283615)Refutation found. Thanks to Tanya!
% 2.76/0.67 % SZS status Theorem for theBenchmark
% 2.76/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/0.67 % (1283615)------------------------------
% 2.76/0.67 % (1283615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.67 % (1283615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.67 % (1283615)CaDiCaL version: 2.1.3
% 2.76/0.67 % (1283615)Termination reason: Refutation
% 2.76/0.67 % (1283615)Time elapsed: 0.174 s
% 2.76/0.67 % (1283615)Peak memory usage: 17 MB
% 2.76/0.67 % (1283615)Instructions burned: 361 (million)
% 2.76/0.67 % (1283514)Success in time 0.428 s
% 2.76/0.67 % Vampire exiting
%------------------------------------------------------------------------------