TSTP Solution File: SCT171^2 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SCT171^2 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 14:18:24 EDT 2024
% Result : Theorem 0.12s 0.44s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 165 ( 21 equ; 0 cnn)
% Maximal formula atoms : 15 ( 9 avg)
% Number of connectives : 287 ( 5 ~; 0 |; 0 &; 280 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 163 ( 160 usr; 10 con; 0-4 aty)
% Number of variables : 9 ( 9 ^ 0 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1501160679le_alt: $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_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(f2950,plain,
$false,
inference(trivial_inequality_removal,[],[f2949]) ).
thf(f2949,plain,
$true = $false,
inference(boolean_simplification,[],[f2948]) ).
thf(f2948,plain,
( ~ $true = $true ),
inference(backward_demodulation,[],[f2742,f2947]) ).
thf(f2947,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
= $true ),
inference(forward_demodulation,[],[f2933,f2646]) ).
thf(f2646,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
@ ( n
= ( h @ Y0 ) )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f1084]) ).
thf(f1084,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
@ ( n
= ( h @ Y0 ) )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f1083]) ).
thf(f1083,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
@ ( n
= ( h @ X0 ) )
@ ( arrow_789600939_above @ ( p @ X0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X0 ) @ e ) ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f14,axiom,
( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [X10: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ X10 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ X10 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ X10 )
= n )
@ ( arrow_789600939_above @ ( p @ X10 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X10 ) @ 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(f2933,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
@ ( n
= ( h @ Y0 ) )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f2723]) ).
thf(f2723,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
@ ( n
= ( h @ Y0 ) )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
= ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ) )
= $true ),
inference(cnf_transformation,[],[f822]) ).
thf(f822,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
@ ( n
= ( h @ Y0 ) )
@ ( arrow_789600939_above @ ( p @ Y0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Y0 ) @ e ) ) ) ) )
= ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ) )
= $true ),
inference(fool_elimination,[],[f821]) ).
thf(f821,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
@ ( n
= ( h @ X0 ) )
@ ( arrow_789600939_above @ ( p @ X0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X0 ) @ e ) ) ) ) )
<=> ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ) ),
inference(rectify,[],[f15]) ).
thf(f15,axiom,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [X10: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ X10 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ X10 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ X10 )
= n )
@ ( arrow_789600939_above @ ( p @ X10 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X10 ) @ e ) ) ) ) )
<=> ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).
thf(f2742,plain,
( $true
= ( ~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ) ) ),
inference(cnf_transformation,[],[f1233]) ).
thf(f1233,plain,
( $true
= ( ~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ) ) ),
inference(fool_elimination,[],[f1232]) ).
thf(f1232,plain,
~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ),
inference(rectify,[],[f705]) ).
thf(f705,negated_conjecture,
~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ),
inference(negated_conjecture,[],[f704]) ).
thf(f704,conjecture,
member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SCT171^2 : TPTP v8.2.0. Released v5.3.0.
% 0.00/0.07 % Command : run_vampire %s %d THM
% 0.06/0.26 % Computer : n032.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sat Jun 22 09:34:23 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.06/0.27 This is a TH0_THM_EQU_NAR problem
% 0.06/0.27 Running higher-order theorem proving
% 0.06/0.27 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.30 % (26514)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.30 % (26515)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.30 % (26517)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.30 % (26516)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.30 % (26518)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.30 % (26519)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.30 % (26520)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.30 % (26517)Instruction limit reached!
% 0.12/0.30 % (26517)------------------------------
% 0.12/0.30 % (26517)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.30 % (26517)Termination reason: Unknown
% 0.12/0.30 % (26517)Termination phase: shuffling
% 0.12/0.30
% 0.12/0.30 % (26517)Memory used [KB]: 2046
% 0.12/0.30 % (26517)Time elapsed: 0.003 s
% 0.12/0.30 % (26517)Instructions burned: 2 (million)
% 0.12/0.30 % (26517)------------------------------
% 0.12/0.30 % (26517)------------------------------
% 0.12/0.30 % (26518)Instruction limit reached!
% 0.12/0.30 % (26518)------------------------------
% 0.12/0.30 % (26518)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.30 % (26518)Termination reason: Unknown
% 0.12/0.30 % (26518)Termination phase: shuffling
% 0.12/0.30
% 0.12/0.30 % (26518)Memory used [KB]: 2046
% 0.12/0.30 % (26518)Time elapsed: 0.003 s
% 0.12/0.30 % (26518)Instructions burned: 2 (million)
% 0.12/0.30 % (26518)------------------------------
% 0.12/0.30 % (26518)------------------------------
% 0.12/0.30 % (26515)Instruction limit reached!
% 0.12/0.30 % (26515)------------------------------
% 0.12/0.30 % (26515)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.30 % (26515)Termination reason: Unknown
% 0.12/0.30 % (26515)Termination phase: shuffling
% 0.12/0.30
% 0.12/0.30 % (26515)Memory used [KB]: 2302
% 0.12/0.30 % (26515)Time elapsed: 0.003 s
% 0.12/0.30 % (26515)Instructions burned: 4 (million)
% 0.12/0.30 % (26515)------------------------------
% 0.12/0.30 % (26515)------------------------------
% 0.12/0.31 % (26520)Instruction limit reached!
% 0.12/0.31 % (26520)------------------------------
% 0.12/0.31 % (26520)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.31 % (26520)Termination reason: Unknown
% 0.12/0.31 % (26520)Termination phase: shuffling
% 0.12/0.31
% 0.12/0.31 % (26520)Memory used [KB]: 2942
% 0.12/0.31 % (26520)Time elapsed: 0.010 s
% 0.12/0.31 % (26520)Instructions burned: 20 (million)
% 0.12/0.31 % (26520)------------------------------
% 0.12/0.31 % (26520)------------------------------
% 0.12/0.31 % (26521)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.31 % (26522)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.12/0.31 % (26516)Instruction limit reached!
% 0.12/0.31 % (26516)------------------------------
% 0.12/0.31 % (26516)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.31 % (26516)Termination reason: Unknown
% 0.12/0.31 % (26516)Termination phase: shuffling
% 0.12/0.31
% 0.12/0.31 % (26516)Memory used [KB]: 3070
% 0.12/0.31 % (26516)Time elapsed: 0.012 s
% 0.12/0.31 % (26516)Instructions burned: 27 (million)
% 0.12/0.31 % (26516)------------------------------
% 0.12/0.31 % (26516)------------------------------
% 0.12/0.31 % (26523)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.12/0.31 % (26521)Instruction limit reached!
% 0.12/0.31 % (26521)------------------------------
% 0.12/0.31 % (26521)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.31 % (26521)Termination reason: Unknown
% 0.12/0.31 % (26521)Termination phase: shuffling
% 0.12/0.31
% 0.12/0.31 % (26521)Memory used [KB]: 2174
% 0.12/0.31 % (26521)Time elapsed: 0.004 s
% 0.12/0.31 % (26521)Instructions burned: 5 (million)
% 0.12/0.31 % (26521)------------------------------
% 0.12/0.31 % (26521)------------------------------
% 0.12/0.32 % (26523)Instruction limit reached!
% 0.12/0.32 % (26523)------------------------------
% 0.12/0.32 % (26523)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.32 % (26523)Termination reason: Unknown
% 0.12/0.32 % (26523)Termination phase: shuffling
% 0.12/0.32
% 0.12/0.32 % (26523)Memory used [KB]: 2686
% 0.12/0.32 % (26523)Time elapsed: 0.008 s
% 0.12/0.32 % (26523)Instructions burned: 15 (million)
% 0.12/0.32 % (26523)------------------------------
% 0.12/0.32 % (26523)------------------------------
% 0.12/0.32 % (26524)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.32 % (26524)Instruction limit reached!
% 0.12/0.32 % (26524)------------------------------
% 0.12/0.32 % (26524)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.32 % (26524)Termination reason: Unknown
% 0.12/0.32 % (26524)Termination phase: shuffling
% 0.12/0.32
% 0.12/0.32 % (26524)Memory used [KB]: 2046
% 0.12/0.32 % (26524)Time elapsed: 0.003 s
% 0.12/0.32 % (26524)Instructions burned: 3 (million)
% 0.12/0.32 % (26524)------------------------------
% 0.12/0.32 % (26524)------------------------------
% 0.12/0.32 % (26525)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.12/0.32 % (26526)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.32 % (26522)Instruction limit reached!
% 0.12/0.32 % (26522)------------------------------
% 0.12/0.32 % (26522)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.32 % (26522)Termination reason: Unknown
% 0.12/0.32 % (26522)Termination phase: shuffling
% 0.12/0.32
% 0.12/0.32 % (26522)Memory used [KB]: 3326
% 0.12/0.32 % (26522)Time elapsed: 0.014 s
% 0.12/0.32 % (26522)Instructions burned: 39 (million)
% 0.12/0.32 % (26522)------------------------------
% 0.12/0.32 % (26522)------------------------------
% 0.12/0.33 % (26526)Instruction limit reached!
% 0.12/0.33 % (26526)------------------------------
% 0.12/0.33 % (26526)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.33 % (26526)Termination reason: Unknown
% 0.12/0.33 % (26526)Termination phase: shuffling
% 0.12/0.33
% 0.12/0.33 % (26526)Memory used [KB]: 2430
% 0.12/0.33 % (26526)Time elapsed: 0.005 s
% 0.12/0.33 % (26526)Instructions burned: 7 (million)
% 0.12/0.33 % (26526)------------------------------
% 0.12/0.33 % (26526)------------------------------
% 0.12/0.33 % (26527)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.33 % (26528)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.33 % (26528)Instruction limit reached!
% 0.12/0.33 % (26528)------------------------------
% 0.12/0.33 % (26528)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.33 % (26528)Termination reason: Unknown
% 0.12/0.33 % (26528)Termination phase: shuffling
% 0.12/0.33
% 0.12/0.33 % (26528)Memory used [KB]: 2174
% 0.12/0.33 % (26528)Time elapsed: 0.004 s
% 0.12/0.33 % (26528)Instructions burned: 5 (million)
% 0.12/0.33 % (26528)------------------------------
% 0.12/0.33 % (26528)------------------------------
% 0.12/0.33 % (26529)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.34 % (26527)Instruction limit reached!
% 0.12/0.34 % (26527)------------------------------
% 0.12/0.34 % (26527)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.34 % (26527)Termination reason: Unknown
% 0.12/0.34 % (26527)Termination phase: shuffling
% 0.12/0.34
% 0.12/0.34 % (26527)Memory used [KB]: 2814
% 0.12/0.34 % (26527)Time elapsed: 0.009 s
% 0.12/0.34 % (26527)Instructions burned: 18 (million)
% 0.12/0.34 % (26527)------------------------------
% 0.12/0.34 % (26527)------------------------------
% 0.12/0.34 % (26530)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.34 % (26529)Instruction limit reached!
% 0.12/0.34 % (26529)------------------------------
% 0.12/0.34 % (26529)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.34 % (26529)Termination reason: Unknown
% 0.12/0.34 % (26529)Termination phase: shuffling
% 0.12/0.34
% 0.12/0.34 % (26529)Memory used [KB]: 2174
% 0.12/0.34 % (26529)Time elapsed: 0.004 s
% 0.12/0.34 % (26529)Instructions burned: 5 (million)
% 0.12/0.34 % (26529)------------------------------
% 0.12/0.34 % (26529)------------------------------
% 0.12/0.34 % (26530)Instruction limit reached!
% 0.12/0.34 % (26530)------------------------------
% 0.12/0.34 % (26530)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.34 % (26530)Termination reason: Unknown
% 0.12/0.34 % (26530)Termination phase: shuffling
% 0.12/0.34
% 0.12/0.34 % (26530)Memory used [KB]: 2430
% 0.12/0.34 % (26530)Time elapsed: 0.005 s
% 0.12/0.34 % (26530)Instructions burned: 8 (million)
% 0.12/0.34 % (26530)------------------------------
% 0.12/0.34 % (26530)------------------------------
% 0.12/0.34 % (26519)Refutation not found, incomplete strategy
% 0.12/0.34 % (26519)------------------------------
% 0.12/0.34 % (26519)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.34 % (26519)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.34
% 0.12/0.34
% 0.12/0.34 % (26519)Memory used [KB]: 8443
% 0.12/0.34 % (26519)Time elapsed: 0.040 s
% 0.12/0.34 % (26519)Instructions burned: 111 (million)
% 0.12/0.34 % (26519)------------------------------
% 0.12/0.34 % (26519)------------------------------
% 0.12/0.34 % (26531)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.34 % (26531)Instruction limit reached!
% 0.12/0.34 % (26531)------------------------------
% 0.12/0.34 % (26531)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.34 % (26531)Termination reason: Unknown
% 0.12/0.34 % (26531)Termination phase: shuffling
% 0.12/0.34
% 0.12/0.34 % (26531)Memory used [KB]: 2046
% 0.12/0.34 % (26531)Time elapsed: 0.003 s
% 0.12/0.34 % (26531)Instructions burned: 3 (million)
% 0.12/0.34 % (26531)------------------------------
% 0.12/0.34 % (26531)------------------------------
% 0.12/0.34 % (26532)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.35 % (26533)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.35 % (26532)Instruction limit reached!
% 0.12/0.35 % (26532)------------------------------
% 0.12/0.35 % (26532)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.35 % (26532)Termination reason: Unknown
% 0.12/0.35 % (26532)Termination phase: shuffling
% 0.12/0.35
% 0.12/0.35 % (26532)Memory used [KB]: 2174
% 0.12/0.35 % (26532)Time elapsed: 0.004 s
% 0.12/0.35 % (26532)Instructions burned: 5 (million)
% 0.12/0.35 % (26532)------------------------------
% 0.12/0.35 % (26532)------------------------------
% 0.12/0.35 % (26534)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.12/0.35 % (26535)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.12/0.35 % (26536)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.12/0.35 % (26533)Instruction limit reached!
% 0.12/0.35 % (26533)------------------------------
% 0.12/0.35 % (26533)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.35 % (26533)Termination reason: Unknown
% 0.12/0.35 % (26533)Termination phase: shuffling
% 0.12/0.35
% 0.12/0.35 % (26533)Memory used [KB]: 2814
% 0.12/0.35 % (26533)Time elapsed: 0.009 s
% 0.12/0.35 % (26533)Instructions burned: 18 (million)
% 0.12/0.35 % (26533)------------------------------
% 0.12/0.35 % (26533)------------------------------
% 0.12/0.35 % (26535)Instruction limit reached!
% 0.12/0.35 % (26535)------------------------------
% 0.12/0.35 % (26535)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.35 % (26535)Termination reason: Unknown
% 0.12/0.35 % (26535)Termination phase: shuffling
% 0.12/0.35
% 0.12/0.35 % (26535)Memory used [KB]: 2302
% 0.12/0.35 % (26535)Time elapsed: 0.004 s
% 0.12/0.35 % (26535)Instructions burned: 6 (million)
% 0.12/0.35 % (26535)------------------------------
% 0.12/0.35 % (26535)------------------------------
% 0.12/0.36 % (26537)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.12/0.36 % (26539)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.12/0.36 % (26514)Instruction limit reached!
% 0.12/0.36 % (26514)------------------------------
% 0.12/0.36 % (26514)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.36 % (26514)Termination reason: Unknown
% 0.12/0.36 % (26514)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (26514)Memory used [KB]: 9083
% 0.12/0.36 % (26514)Time elapsed: 0.061 s
% 0.12/0.36 % (26514)Instructions burned: 185 (million)
% 0.12/0.36 % (26514)------------------------------
% 0.12/0.36 % (26514)------------------------------
% 0.12/0.36 % (26538)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.12/0.36 % (26538)Instruction limit reached!
% 0.12/0.36 % (26538)------------------------------
% 0.12/0.36 % (26538)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.36 % (26538)Termination reason: Unknown
% 0.12/0.36 % (26538)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (26538)Memory used [KB]: 2302
% 0.12/0.36 % (26538)Time elapsed: 0.004 s
% 0.12/0.36 % (26538)Instructions burned: 5 (million)
% 0.12/0.36 % (26538)------------------------------
% 0.12/0.36 % (26538)------------------------------
% 0.12/0.36 % (26539)Instruction limit reached!
% 0.12/0.36 % (26539)------------------------------
% 0.12/0.36 % (26539)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.36 % (26539)Termination reason: Unknown
% 0.12/0.36 % (26539)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (26539)Memory used [KB]: 2302
% 0.12/0.36 % (26539)Time elapsed: 0.004 s
% 0.12/0.36 % (26539)Instructions burned: 7 (million)
% 0.12/0.36 % (26539)------------------------------
% 0.12/0.36 % (26539)------------------------------
% 0.12/0.37 % (26537)Instruction limit reached!
% 0.12/0.37 % (26537)------------------------------
% 0.12/0.37 % (26537)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37 % (26537)Termination reason: Unknown
% 0.12/0.37 % (26537)Termination phase: shuffling
% 0.12/0.37
% 0.12/0.37 % (26537)Memory used [KB]: 2942
% 0.12/0.37 % (26537)Time elapsed: 0.011 s
% 0.12/0.37 % (26537)Instructions burned: 22 (million)
% 0.12/0.37 % (26537)------------------------------
% 0.12/0.37 % (26537)------------------------------
% 0.12/0.37 % (26540)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.12/0.37 % (26542)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.12/0.37 % (26541)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.12/0.37 % (26543)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.12/0.38 % (26542)Instruction limit reached!
% 0.12/0.38 % (26542)------------------------------
% 0.12/0.38 % (26542)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (26542)Termination reason: Unknown
% 0.12/0.38 % (26542)Termination phase: shuffling
% 0.12/0.38
% 0.12/0.38 % (26542)Memory used [KB]: 2814
% 0.12/0.38 % (26542)Time elapsed: 0.008 s
% 0.12/0.38 % (26542)Instructions burned: 20 (million)
% 0.12/0.38 % (26542)------------------------------
% 0.12/0.38 % (26542)------------------------------
% 0.12/0.39 % (26544)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.12/0.40 % (26544)Instruction limit reached!
% 0.12/0.40 % (26544)------------------------------
% 0.12/0.40 % (26544)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (26544)Termination reason: Unknown
% 0.12/0.40 % (26544)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (26544)Memory used [KB]: 2686
% 0.12/0.40 % (26544)Time elapsed: 0.008 s
% 0.12/0.40 % (26544)Instructions burned: 17 (million)
% 0.12/0.40 % (26544)------------------------------
% 0.12/0.40 % (26544)------------------------------
% 0.12/0.40 % (26545)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.12/0.41 % (26545)Instruction limit reached!
% 0.12/0.41 % (26545)------------------------------
% 0.12/0.41 % (26545)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (26545)Termination reason: Unknown
% 0.12/0.41 % (26545)Termination phase: shuffling
% 0.12/0.41
% 0.12/0.41 % (26545)Memory used [KB]: 2174
% 0.12/0.41 % (26545)Time elapsed: 0.003 s
% 0.12/0.41 % (26545)Instructions burned: 4 (million)
% 0.12/0.41 % (26545)------------------------------
% 0.12/0.41 % (26545)------------------------------
% 0.12/0.41 % (26546)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.12/0.42 % (26536)Refutation not found, incomplete strategy
% 0.12/0.42 % (26536)------------------------------
% 0.12/0.42 % (26536)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.42 % (26536)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.42
% 0.12/0.42
% 0.12/0.42 % (26536)Memory used [KB]: 9594
% 0.12/0.42 % (26536)Time elapsed: 0.072 s
% 0.12/0.42 % (26536)Instructions burned: 206 (million)
% 0.12/0.42 % (26536)------------------------------
% 0.12/0.42 % (26536)------------------------------
% 0.12/0.42 % (26546)Instruction limit reached!
% 0.12/0.42 % (26546)------------------------------
% 0.12/0.42 % (26546)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.42 % (26546)Termination reason: Unknown
% 0.12/0.42 % (26546)Termination phase: shuffling
% 0.12/0.42
% 0.12/0.42 % (26546)Memory used [KB]: 3198
% 0.12/0.42 % (26546)Time elapsed: 0.012 s
% 0.12/0.42 % (26546)Instructions burned: 30 (million)
% 0.12/0.42 % (26546)------------------------------
% 0.12/0.42 % (26546)------------------------------
% 0.12/0.43 % (26547)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.12/0.43 % (26525)First to succeed.
% 0.12/0.43 % (26548)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.12/0.44 % (26525)Refutation found. Thanks to Tanya!
% 0.12/0.44 % SZS status Theorem for theBenchmark
% 0.12/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.44 % (26525)------------------------------
% 0.12/0.44 % (26525)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.44 % (26525)Termination reason: Refutation
% 0.12/0.44
% 0.12/0.44 % (26525)Memory used [KB]: 9594
% 0.12/0.44 % (26525)Time elapsed: 0.113 s
% 0.12/0.44 % (26525)Instructions burned: 369 (million)
% 0.12/0.44 % (26525)------------------------------
% 0.12/0.44 % (26525)------------------------------
% 0.12/0.44 % (26513)Success in time 0.148 s
%------------------------------------------------------------------------------