TSTP Solution File: SCT171^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SCT171^2 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:49:22 EDT 2024

% Result   : Theorem 1.53s 0.62s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  209
% Syntax   : Number of formulae    :  230 (  10 unt; 203 typ;   0 def)
%            Number of atoms       :  238 (  28 equ;   0 cnn)
%            Maximal formula atoms :   15 (   8 avg)
%            Number of connectives :  413 (  14   ~;   9   |;   0   &; 385   @)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  : 1097 (1097   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  199 ( 196 usr;  15 con; 0-6 aty)
%            Number of variables   :   13 (  13   ^   0   !;   0   ?;  13   :)

% 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(func_def_174,type,
    sP0: arrow_1429601828e_indi > $o ).

thf(func_def_175,type,
    sP1: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).

thf(func_def_176,type,
    sP2: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( produc1501160679le_alt > $o ) > $o ).

thf(func_def_177,type,
    sP3: arrow_1429601828e_indi > $o ).

thf(func_def_178,type,
    sP4: arrow_1429601828e_indi > $o ).

thf(func_def_179,type,
    sP5: arrow_1429601828e_indi > $o ).

thf(func_def_180,type,
    sP6: arrow_1429601828e_indi > $o ).

thf(func_def_181,type,
    sK7: arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).

thf(func_def_182,type,
    sK8: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).

thf(func_def_183,type,
    sK9: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).

thf(func_def_184,type,
    sK10: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).

thf(func_def_185,type,
    sK11: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).

thf(func_def_186,type,
    sK12: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).

thf(func_def_187,type,
    sK13: nat ).

thf(func_def_188,type,
    sK14: produc1501160679le_alt > $o ).

thf(func_def_189,type,
    sK15: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > arrow_1429601828e_indi ).

thf(func_def_190,type,
    sK16: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).

thf(func_def_191,type,
    sK17: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > produc1501160679le_alt > $o ).

thf(func_def_192,type,
    sK18: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).

thf(func_def_193,type,
    sK19: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_475358991le_alt ).

thf(func_def_194,type,
    sK20: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_1429601828e_indi ).

thf(func_def_195,type,
    sK21: nat ).

thf(func_def_196,type,
    sK22: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).

thf(func_def_197,type,
    sK23: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).

thf(func_def_198,type,
    sK24: arrow_475358991le_alt > arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_1429601828e_indi ).

thf(func_def_199,type,
    sK25: arrow_475358991le_alt > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_1429601828e_indi ).

thf(func_def_200,type,
    sK26: produc1501160679le_alt > $o ).

thf(func_def_201,type,
    sK27: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).

thf(func_def_202,type,
    sK28: ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > arrow_475358991le_alt ).

thf(func_def_203,type,
    sK29: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o ).

thf(func_def_204,type,
    sK30: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > arrow_475358991le_alt ).

thf(func_def_205,type,
    sK31: ( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ) > arrow_1429601828e_indi > arrow_475358991le_alt ).

thf(func_def_206,type,
    sK32: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o ).

thf(f2512,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2426,f2472,f2484,f2508]) ).

thf(f2508,plain,
    ( ~ spl33_5
    | ~ spl33_6 ),
    inference(avatar_contradiction_clause,[],[f2507]) ).

thf(f2507,plain,
    ( $false
    | ~ spl33_5
    | ~ spl33_6 ),
    inference(trivial_inequality_removal,[],[f2506]) ).

thf(f2506,plain,
    ( ( $true = $false )
    | ~ spl33_5
    | ~ spl33_6 ),
    inference(forward_demodulation,[],[f2430,f2425]) ).

thf(f2425,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 ) ) ) ) )
      = $false )
    | ~ spl33_5 ),
    inference(avatar_component_clause,[],[f2423]) ).

thf(f2423,plain,
    ( spl33_5
  <=> ( ( 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 ) ) ) ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).

thf(f2430,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 )
    | ~ spl33_6 ),
    inference(avatar_component_clause,[],[f2428]) ).

thf(f2428,plain,
    ( spl33_6
  <=> ( ( 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 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).

thf(f2484,plain,
    ~ spl33_4,
    inference(avatar_split_clause,[],[f2304,f2419]) ).

thf(f2419,plain,
    ( spl33_4
  <=> ( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).

thf(f2304,plain,
    ( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
   != $true ),
    inference(cnf_transformation,[],[f2022]) ).

thf(f2022,plain,
    ( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
   != $true ),
    inference(flattening,[],[f772]) ).

thf(f772,plain,
    ( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
   != $true ),
    inference(fool_elimination,[],[f771]) ).

thf(f771,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) ).

thf(f2472,plain,
    spl33_6,
    inference(avatar_split_clause,[],[f2296,f2428]) ).

thf(f2296,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,[],[f1637]) ).

thf(f1637,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,[],[f1636]) ).

thf(f1636,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(f2426,plain,
    ( spl33_4
    | spl33_5 ),
    inference(avatar_split_clause,[],[f2396,f2423,f2419]) ).

thf(f2396,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 ) ) ) ) )
      = $false )
    | ( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f2268]) ).

thf(f2268,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(cnf_transformation,[],[f1941]) ).

thf(f1941,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(fool_elimination,[],[f1940]) ).

thf(f1940,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
              @ ( n
                = ( h @ X0 ) )
              @ ( arrow_789600939_above @ ( p @ X0 ) @ c @ e )
              @ ( arrow_2054445623_mkbot @ ( p @ X0 ) @ e ) ) ) ) ) ),
    inference(rectify,[],[f15]) ).

thf(f15,axiom,
    ( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
  <=> ( 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_14_PW) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SCT171^2 : TPTP v8.2.0. Released v5.3.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.32  % Computer : n005.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon May 20 00:00:38 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a TH0_THM_EQU_NAR problem
% 0.10/0.32  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % (21146)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.37  % (21149)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.37  % (21151)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)
% 0.16/0.37  % (21150)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)
% 0.16/0.37  % (21148)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)
% 0.16/0.37  % (21152)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.38  % (21149)Instruction limit reached!
% 0.16/0.38  % (21149)------------------------------
% 0.16/0.38  % (21149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (21149)Termination reason: Unknown
% 0.16/0.38  % (21149)Termination phase: shuffling
% 0.16/0.38  
% 0.16/0.38  % (21150)Instruction limit reached!
% 0.16/0.38  % (21150)------------------------------
% 0.16/0.38  % (21150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (21149)Memory used [KB]: 2046
% 0.16/0.38  % (21149)Time elapsed: 0.003 s
% 0.16/0.38  % (21149)Instructions burned: 2 (million)
% 0.16/0.38  % (21149)------------------------------
% 0.16/0.38  % (21149)------------------------------
% 0.16/0.38  % (21150)Termination reason: Unknown
% 0.16/0.38  % (21150)Termination phase: shuffling
% 0.16/0.38  
% 0.16/0.38  % (21150)Memory used [KB]: 2046
% 0.16/0.38  % (21150)Time elapsed: 0.003 s
% 0.16/0.38  % (21150)Instructions burned: 2 (million)
% 0.16/0.38  % (21150)------------------------------
% 0.16/0.38  % (21150)------------------------------
% 0.16/0.38  % (21152)Instruction limit reached!
% 0.16/0.38  % (21152)------------------------------
% 0.16/0.38  % (21152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (21152)Termination reason: Unknown
% 0.16/0.38  % (21152)Termination phase: shuffling
% 0.16/0.38  
% 0.16/0.38  % (21152)Memory used [KB]: 2686
% 0.16/0.38  % (21152)Time elapsed: 0.011 s
% 0.16/0.38  % (21152)Instructions burned: 18 (million)
% 0.16/0.38  % (21152)------------------------------
% 0.16/0.38  % (21152)------------------------------
% 0.16/0.38  % (21147)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)
% 0.16/0.39  % (21147)Instruction limit reached!
% 0.16/0.39  % (21147)------------------------------
% 0.16/0.39  % (21147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (21147)Termination reason: Unknown
% 0.16/0.39  % (21147)Termination phase: shuffling
% 0.16/0.39  
% 0.16/0.39  % (21147)Memory used [KB]: 2302
% 0.16/0.39  % (21147)Time elapsed: 0.005 s
% 0.16/0.39  % (21147)Instructions burned: 5 (million)
% 0.16/0.39  % (21147)------------------------------
% 0.16/0.39  % (21147)------------------------------
% 0.16/0.39  % (21148)Instruction limit reached!
% 0.16/0.39  % (21148)------------------------------
% 0.16/0.39  % (21148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (21148)Termination reason: Unknown
% 0.16/0.39  % (21148)Termination phase: shuffling
% 0.16/0.39  
% 0.16/0.39  % (21148)Memory used [KB]: 3070
% 0.16/0.39  % (21148)Time elapsed: 0.016 s
% 0.16/0.39  % (21148)Instructions burned: 27 (million)
% 0.16/0.39  % (21148)------------------------------
% 0.16/0.39  % (21148)------------------------------
% 0.16/0.39  % (21155)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)
% 0.16/0.39  % (21153)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)
% 0.16/0.39  % (21153)Instruction limit reached!
% 0.16/0.39  % (21153)------------------------------
% 0.16/0.39  % (21153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (21153)Termination reason: Unknown
% 0.16/0.39  % (21153)Termination phase: shuffling
% 0.16/0.39  
% 0.16/0.39  % (21153)Memory used [KB]: 2046
% 0.16/0.39  % (21153)Time elapsed: 0.003 s
% 0.16/0.39  % (21153)Instructions burned: 3 (million)
% 0.16/0.39  % (21153)------------------------------
% 0.16/0.39  % (21153)------------------------------
% 0.16/0.40  % (21154)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)
% 0.16/0.40  % (21155)Instruction limit reached!
% 0.16/0.40  % (21155)------------------------------
% 0.16/0.40  % (21155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (21155)Termination reason: Unknown
% 0.16/0.40  % (21155)Termination phase: shuffling
% 0.16/0.40  
% 0.16/0.40  % (21155)Memory used [KB]: 2686
% 0.16/0.40  % (21155)Time elapsed: 0.011 s
% 0.16/0.40  % (21155)Instructions burned: 16 (million)
% 0.16/0.40  % (21155)------------------------------
% 0.16/0.40  % (21155)------------------------------
% 0.16/0.41  % (21160)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)
% 0.16/0.41  % (21156)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)
% 0.16/0.41  % (21160)Instruction limit reached!
% 0.16/0.41  % (21160)------------------------------
% 0.16/0.41  % (21160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (21160)Termination reason: Unknown
% 0.16/0.41  % (21160)Termination phase: shuffling
% 0.16/0.41  
% 0.16/0.41  % (21160)Memory used [KB]: 2174
% 0.16/0.41  % (21160)Time elapsed: 0.004 s
% 0.16/0.41  % (21160)Instructions burned: 4 (million)
% 0.16/0.41  % (21160)------------------------------
% 0.16/0.41  % (21160)------------------------------
% 0.16/0.42  % (21157)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)
% 0.16/0.42  % (21158)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.42  % (21158)Instruction limit reached!
% 0.16/0.42  % (21158)------------------------------
% 0.16/0.42  % (21158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42  % (21158)Termination reason: Unknown
% 0.16/0.42  % (21158)Termination phase: shuffling
% 0.16/0.42  
% 0.16/0.42  % (21158)Memory used [KB]: 2302
% 0.16/0.42  % (21158)Time elapsed: 0.006 s
% 0.16/0.42  % (21158)Instructions burned: 7 (million)
% 0.16/0.42  % (21158)------------------------------
% 0.16/0.42  % (21158)------------------------------
% 0.16/0.43  % (21154)Instruction limit reached!
% 0.16/0.43  % (21154)------------------------------
% 0.16/0.43  % (21154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43  % (21154)Termination reason: Unknown
% 0.16/0.43  % (21154)Termination phase: shuffling
% 0.16/0.43  
% 0.16/0.43  % (21154)Memory used [KB]: 3198
% 0.16/0.43  % (21154)Time elapsed: 0.020 s
% 0.16/0.43  % (21154)Instructions burned: 37 (million)
% 0.16/0.43  % (21154)------------------------------
% 0.16/0.43  % (21154)------------------------------
% 0.16/0.43  % (21156)Instruction limit reached!
% 0.16/0.43  % (21156)------------------------------
% 0.16/0.43  % (21156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43  % (21156)Termination reason: Unknown
% 0.16/0.43  % (21156)Termination phase: shuffling
% 0.16/0.43  
% 0.16/0.43  % (21156)Memory used [KB]: 2174
% 0.16/0.43  % (21156)Time elapsed: 0.005 s
% 0.16/0.43  % (21156)Instructions burned: 4 (million)
% 0.16/0.43  % (21156)------------------------------
% 0.16/0.43  % (21156)------------------------------
% 0.16/0.43  % (21159)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.44  % (21161)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)
% 0.16/0.44  % (21162)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)
% 0.16/0.44  % (21159)Instruction limit reached!
% 0.16/0.44  % (21159)------------------------------
% 0.16/0.44  % (21159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44  % (21159)Termination reason: Unknown
% 0.16/0.44  % (21159)Termination phase: shuffling
% 0.16/0.44  
% 0.16/0.44  % (21159)Memory used [KB]: 2686
% 0.16/0.44  % (21159)Time elapsed: 0.012 s
% 0.16/0.44  % (21159)Instructions burned: 16 (million)
% 0.16/0.44  % (21159)------------------------------
% 0.16/0.44  % (21159)------------------------------
% 0.16/0.44  % (21161)Instruction limit reached!
% 0.16/0.44  % (21161)------------------------------
% 0.16/0.44  % (21161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44  % (21161)Termination reason: Unknown
% 0.16/0.44  % (21161)Termination phase: shuffling
% 0.16/0.44  
% 0.16/0.44  % (21161)Memory used [KB]: 2046
% 0.16/0.44  % (21161)Time elapsed: 0.004 s
% 0.16/0.44  % (21161)Instructions burned: 3 (million)
% 0.16/0.44  % (21161)------------------------------
% 0.16/0.44  % (21161)------------------------------
% 0.16/0.44  % (21162)Instruction limit reached!
% 0.16/0.44  % (21162)------------------------------
% 0.16/0.44  % (21162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44  % (21162)Termination reason: Unknown
% 0.16/0.44  % (21162)Termination phase: shuffling
% 0.16/0.44  
% 0.16/0.44  % (21162)Memory used [KB]: 2302
% 0.16/0.44  % (21162)Time elapsed: 0.006 s
% 0.16/0.44  % (21162)Instructions burned: 7 (million)
% 0.16/0.44  % (21162)------------------------------
% 0.16/0.44  % (21162)------------------------------
% 0.16/0.44  % (21163)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 (2998ds/3Mi)
% 0.16/0.44  % (21163)Instruction limit reached!
% 0.16/0.44  % (21163)------------------------------
% 0.16/0.44  % (21163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44  % (21163)Termination reason: Unknown
% 0.16/0.44  % (21163)Termination phase: shuffling
% 0.16/0.44  
% 0.16/0.44  % (21163)Memory used [KB]: 2046
% 0.16/0.44  % (21163)Time elapsed: 0.004 s
% 0.16/0.44  % (21163)Instructions burned: 4 (million)
% 0.16/0.44  % (21163)------------------------------
% 0.16/0.44  % (21163)------------------------------
% 0.16/0.45  % (21151)Refutation not found, incomplete strategy
% 0.16/0.45  % (21151)------------------------------
% 0.16/0.45  % (21151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45  % (21151)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.45  
% 0.16/0.45  
% 0.16/0.45  % (21151)Memory used [KB]: 8443
% 0.16/0.45  % (21151)Time elapsed: 0.060 s
% 0.16/0.45  % (21151)Instructions burned: 116 (million)
% 0.16/0.45  % (21151)------------------------------
% 0.16/0.45  % (21151)------------------------------
% 0.16/0.45  % (21164)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.16/0.45  % (21165)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 (2998ds/18Mi)
% 0.16/0.45  % (21164)Instruction limit reached!
% 0.16/0.45  % (21164)------------------------------
% 0.16/0.45  % (21164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45  % (21164)Termination reason: Unknown
% 0.16/0.45  % (21164)Termination phase: shuffling
% 0.16/0.45  
% 0.16/0.45  % (21164)Memory used [KB]: 2174
% 0.16/0.45  % (21164)Time elapsed: 0.004 s
% 0.16/0.45  % (21164)Instructions burned: 4 (million)
% 0.16/0.45  % (21164)------------------------------
% 0.16/0.45  % (21164)------------------------------
% 0.16/0.45  % (21167)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.16/0.45  % (21146)Instruction limit reached!
% 0.16/0.45  % (21146)------------------------------
% 0.16/0.45  % (21146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45  % (21146)Termination reason: Unknown
% 0.16/0.45  % (21146)Termination phase: Saturation
% 0.16/0.45  
% 0.16/0.45  % (21146)Memory used [KB]: 9083
% 0.16/0.45  % (21146)Time elapsed: 0.083 s
% 0.16/0.45  % (21146)Instructions burned: 183 (million)
% 0.16/0.45  % (21146)------------------------------
% 0.16/0.45  % (21146)------------------------------
% 0.16/0.46  % (21168)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 (2998ds/902Mi)
% 0.16/0.46  % (21167)Instruction limit reached!
% 0.16/0.46  % (21167)------------------------------
% 0.16/0.46  % (21167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46  % (21167)Termination reason: Unknown
% 0.16/0.46  % (21167)Termination phase: shuffling
% 0.16/0.46  
% 0.16/0.46  % (21167)Memory used [KB]: 2174
% 0.16/0.46  % (21167)Time elapsed: 0.005 s
% 0.16/0.46  % (21167)Instructions burned: 6 (million)
% 0.16/0.46  % (21167)------------------------------
% 0.16/0.46  % (21167)------------------------------
% 0.16/0.46  % (21165)Instruction limit reached!
% 0.16/0.46  % (21165)------------------------------
% 0.16/0.46  % (21165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46  % (21165)Termination reason: Unknown
% 0.16/0.46  % (21165)Termination phase: shuffling
% 0.16/0.46  
% 0.16/0.46  % (21165)Memory used [KB]: 2686
% 0.16/0.46  % (21165)Time elapsed: 0.011 s
% 0.16/0.46  % (21165)Instructions burned: 18 (million)
% 0.16/0.46  % (21165)------------------------------
% 0.16/0.46  % (21165)------------------------------
% 0.16/0.46  % (21166)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.16/0.46  % (21169)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 (2998ds/21Mi)
% 0.16/0.47  % (21170)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.16/0.47  % (21171)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 (2998ds/6Mi)
% 0.16/0.47  % (21170)Instruction limit reached!
% 0.16/0.47  % (21170)------------------------------
% 0.16/0.47  % (21170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.47  % (21172)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.16/0.47  % (21170)Termination reason: Unknown
% 0.16/0.47  % (21170)Termination phase: shuffling
% 0.16/0.47  
% 0.16/0.47  % (21170)Memory used [KB]: 2174
% 0.16/0.47  % (21170)Time elapsed: 0.005 s
% 0.16/0.47  % (21170)Instructions burned: 5 (million)
% 0.16/0.47  % (21170)------------------------------
% 0.16/0.47  % (21170)------------------------------
% 0.16/0.47  % (21171)Instruction limit reached!
% 0.16/0.47  % (21171)------------------------------
% 0.16/0.47  % (21171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.47  % (21171)Termination reason: Unknown
% 0.16/0.47  % (21171)Termination phase: shuffling
% 0.16/0.47  
% 0.16/0.47  % (21171)Memory used [KB]: 2302
% 0.16/0.47  % (21171)Time elapsed: 0.005 s
% 0.16/0.47  % (21171)Instructions burned: 6 (million)
% 0.16/0.47  % (21171)------------------------------
% 0.16/0.47  % (21171)------------------------------
% 0.16/0.48  % (21169)Instruction limit reached!
% 0.16/0.48  % (21169)------------------------------
% 0.16/0.48  % (21169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.48  % (21169)Termination reason: Unknown
% 0.16/0.48  % (21169)Termination phase: shuffling
% 0.16/0.48  
% 0.16/0.48  % (21169)Memory used [KB]: 2814
% 0.16/0.48  % (21169)Time elapsed: 0.013 s
% 0.16/0.48  % (21169)Instructions burned: 21 (million)
% 0.16/0.48  % (21169)------------------------------
% 0.16/0.48  % (21169)------------------------------
% 0.16/0.48  % (21173)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 (2998ds/779Mi)
% 0.16/0.49  % (21174)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 (2998ds/19Mi)
% 0.16/0.50  % (21176)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.16/0.50  % (21174)Instruction limit reached!
% 0.16/0.50  % (21174)------------------------------
% 0.16/0.50  % (21174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.50  % (21174)Termination reason: Unknown
% 0.16/0.50  % (21174)Termination phase: shuffling
% 0.16/0.50  
% 0.16/0.50  % (21174)Memory used [KB]: 2686
% 0.16/0.50  % (21174)Time elapsed: 0.011 s
% 0.16/0.50  % (21174)Instructions burned: 20 (million)
% 0.16/0.50  % (21174)------------------------------
% 0.16/0.50  % (21174)------------------------------
% 0.16/0.50  % (21175)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.16/0.51  % (21176)Instruction limit reached!
% 0.16/0.51  % (21176)------------------------------
% 0.16/0.51  % (21176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.51  % (21176)Termination reason: Unknown
% 0.16/0.51  % (21176)Termination phase: shuffling
% 0.16/0.51  
% 0.16/0.51  % (21176)Memory used [KB]: 2686
% 0.16/0.51  % (21176)Time elapsed: 0.011 s
% 0.16/0.51  % (21176)Instructions burned: 17 (million)
% 0.16/0.51  % (21176)------------------------------
% 0.16/0.51  % (21176)------------------------------
% 0.16/0.51  % (21177)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.16/0.51  % (21177)Instruction limit reached!
% 0.16/0.51  % (21177)------------------------------
% 0.16/0.51  % (21177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.51  % (21177)Termination reason: Unknown
% 0.16/0.51  % (21177)Termination phase: shuffling
% 0.16/0.51  
% 0.16/0.51  % (21177)Memory used [KB]: 2174
% 0.16/0.51  % (21177)Time elapsed: 0.004 s
% 0.16/0.51  % (21177)Instructions burned: 4 (million)
% 0.16/0.51  % (21177)------------------------------
% 0.16/0.51  % (21177)------------------------------
% 0.16/0.52  % (21178)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.16/0.53  % (21179)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)
% 0.16/0.54  % (21178)Instruction limit reached!
% 0.16/0.54  % (21178)------------------------------
% 0.16/0.54  % (21178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.54  % (21178)Termination reason: Unknown
% 0.16/0.54  % (21178)Termination phase: shuffling
% 0.16/0.54  
% 0.16/0.54  % (21178)Memory used [KB]: 3070
% 0.16/0.54  % (21178)Time elapsed: 0.018 s
% 0.16/0.54  % (21178)Instructions burned: 30 (million)
% 0.16/0.54  % (21178)------------------------------
% 0.16/0.54  % (21178)------------------------------
% 0.16/0.55  % (21180)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 (2997ds/100Mi)
% 1.40/0.57  % (21168)Refutation not found, incomplete strategy
% 1.40/0.57  % (21168)------------------------------
% 1.40/0.57  % (21168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.57  % (21168)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.57  
% 1.40/0.57  
% 1.40/0.57  % (21168)Memory used [KB]: 9466
% 1.40/0.57  % (21168)Time elapsed: 0.126 s
% 1.40/0.57  % (21168)Instructions burned: 216 (million)
% 1.40/0.57  % (21168)------------------------------
% 1.40/0.57  % (21168)------------------------------
% 1.53/0.59  % (21179)Instruction limit reached!
% 1.53/0.59  % (21179)------------------------------
% 1.53/0.59  % (21179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.53/0.59  % (21179)Termination reason: Unknown
% 1.53/0.59  % (21179)Termination phase: Property scanning
% 1.53/0.59  
% 1.53/0.59  % (21179)Memory used [KB]: 4477
% 1.53/0.59  % (21179)Time elapsed: 0.060 s
% 1.53/0.59  % (21179)Instructions burned: 127 (million)
% 1.53/0.59  % (21179)------------------------------
% 1.53/0.59  % (21179)------------------------------
% 1.53/0.59  % (21181)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.53/0.59  % (21181)Instruction limit reached!
% 1.53/0.59  % (21181)------------------------------
% 1.53/0.59  % (21181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.53/0.59  % (21181)Termination reason: Unknown
% 1.53/0.59  % (21181)Termination phase: shuffling
% 1.53/0.59  
% 1.53/0.59  % (21181)Memory used [KB]: 2046
% 1.53/0.59  % (21181)Time elapsed: 0.004 s
% 1.53/0.59  % (21181)Instructions burned: 3 (million)
% 1.53/0.59  % (21181)------------------------------
% 1.53/0.59  % (21181)------------------------------
% 1.53/0.60  % (21180)Instruction limit reached!
% 1.53/0.60  % (21180)------------------------------
% 1.53/0.60  % (21180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.53/0.60  % (21180)Termination reason: Unknown
% 1.53/0.60  % (21180)Termination phase: Property scanning
% 1.53/0.60  
% 1.53/0.60  % (21180)Memory used [KB]: 4477
% 1.53/0.60  % (21180)Time elapsed: 0.047 s
% 1.53/0.60  % (21180)Instructions burned: 100 (million)
% 1.53/0.60  % (21180)------------------------------
% 1.53/0.60  % (21180)------------------------------
% 1.53/0.60  % (21182)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.53/0.60  % (21183)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.53/0.61  % (21182)Instruction limit reached!
% 1.53/0.61  % (21182)------------------------------
% 1.53/0.61  % (21182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.53/0.61  % (21182)Termination reason: Unknown
% 1.53/0.61  % (21182)Termination phase: shuffling
% 1.53/0.61  
% 1.53/0.61  % (21182)Memory used [KB]: 2814
% 1.53/0.61  % (21182)Time elapsed: 0.013 s
% 1.53/0.61  % (21182)Instructions burned: 21 (million)
% 1.53/0.61  % (21182)------------------------------
% 1.53/0.61  % (21182)------------------------------
% 1.53/0.61  % (21175)First to succeed.
% 1.53/0.62  % (21175)Refutation found. Thanks to Tanya!
% 1.53/0.62  % SZS status Theorem for theBenchmark
% 1.53/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.62  % (21175)------------------------------
% 1.53/0.62  % (21175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.53/0.62  % (21175)Termination reason: Refutation
% 1.53/0.62  
% 1.53/0.62  % (21175)Memory used [KB]: 8827
% 1.53/0.62  % (21175)Time elapsed: 0.115 s
% 1.53/0.62  % (21175)Instructions burned: 226 (million)
% 1.53/0.62  % (21175)------------------------------
% 1.53/0.62  % (21175)------------------------------
% 1.53/0.62  % (21145)Success in time 0.296 s
% 1.53/0.62  % Vampire---4.8 exiting
%------------------------------------------------------------------------------