TSTP Solution File: ITP153^2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP153^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:53:50 EDT 2024

% Result   : Theorem 2.64s 0.87s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  185
% Syntax   : Number of formulae    :  211 (   7 unt; 179 typ;   0 def)
%            Number of atoms       :  235 (  31 equ;   0 cnn)
%            Maximal formula atoms :    3 (   7 avg)
%            Number of connectives :   41 (  15   ~;  14   |;   7   &;   0   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  322 ( 319   >;   3   *;   0   +;   0  <<)
%            Number of symbols     :  183 ( 180 usr;   8 con; 0-8 aty)
%            Number of variables   :  441 (   0   ^  11   !;   0   ?; 441   :)
%                                         ( 430  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    product_prod: ( $tType * $tType ) > $tType ).

thf(type_def_6,type,
    set: $tType > $tType ).

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(type_def_8,type,
    a: $tType ).

thf(func_def_0,type,
    product_prod: ( $tType * $tType ) > $tType ).

thf(func_def_1,type,
    set: $tType > $tType ).

thf(func_def_2,type,
    a: $tType ).

thf(func_def_3,type,
    type: 
      !>[X0: $tType] : $o ).

thf(func_def_4,type,
    bot: 
      !>[X0: $tType] : $o ).

thf(func_def_5,type,
    ord: 
      !>[X0: $tType] : $o ).

thf(func_def_6,type,
    order: 
      !>[X0: $tType] : $o ).

thf(func_def_7,type,
    linorder: 
      !>[X0: $tType] : $o ).

thf(func_def_8,type,
    preorder: 
      !>[X0: $tType] : $o ).

thf(func_def_9,type,
    order_bot: 
      !>[X0: $tType] : $o ).

thf(func_def_10,type,
    bNF_Ca1785829860lChain: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X0)) > ( X0 > X1 ) > $o ) ).

thf(func_def_11,type,
    uminus_uminus: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_12,type,
    order_1409979114der_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_13,type,
    order_preorder_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_14,type,
    order_under: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > set(X0) ) ).

thf(func_def_15,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

thf(func_def_16,type,
    ord_less_eq: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_17,type,
    order_Greatest: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_18,type,
    prefer951318096ood_as: 
      !>[X0: $tType] : ( X0 > set(X0) > set(product_prod(X0,X0)) > set(X0) ) ).

thf(func_def_19,type,
    prefer310429814s_good: 
      !>[X0: $tType] : ( X0 > set(X0) > set(product_prod(X0,X0)) > set(X0) ) ).

thf(func_def_20,type,
    prefer1532642881r_than: 
      !>[X0: $tType] : ( X0 > set(X0) > set(product_prod(X0,X0)) > set(X0) ) ).

thf(func_def_21,type,
    prefer199794634erence: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_22,type,
    prefer1997167224erence: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_23,type,
    prefer1801827867axioms: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_24,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > product_prod(X0,X1) ) ).

thf(func_def_25,type,
    produc2004651681e_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > product_prod(X0,X1) > X2 ) ).

thf(func_def_26,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > product_prod(X0,X1) > X2 ) ).

thf(func_def_27,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

thf(func_def_28,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

thf(func_def_29,type,
    product_swap: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > product_prod(X1,X0) ) ).

thf(func_def_30,type,
    domain: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(X0) ) ).

thf(func_def_31,type,
    id_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).

thf(func_def_32,type,
    range: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(X1) ) ).

thf(func_def_33,type,
    refl_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_34,type,
    total_on: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_35,type,
    trans: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

thf(func_def_36,type,
    collect: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).

thf(func_def_37,type,
    insert: 
      !>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).

thf(func_def_38,type,
    is_empty: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_39,type,
    is_singleton: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_40,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_41,type,
    member: 
      !>[X0: $tType] : ( X0 > set(X0) > $o ) ).

thf(func_def_42,type,
    carrier: set(a) ).

thf(func_def_43,type,
    relation: set(product_prod(a,a)) ).

thf(func_def_44,type,
    y: a ).

thf(func_def_45,type,
    z: a ).

thf(func_def_49,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_50,type,
    vAND: $o > $o > $o ).

thf(func_def_51,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_52,type,
    cCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).

thf(func_def_53,type,
    sCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_54,type,
    iCOMB: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_55,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_56,type,
    vIMP: $o > $o > $o ).

thf(func_def_57,type,
    vNOT: $o > $o ).

thf(func_def_58,type,
    vOR: $o > $o > $o ).

thf(func_def_59,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_60,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_61,type,
    sP0: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_62,type,
    sP1: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_63,type,
    sP2: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_64,type,
    sP3: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_65,type,
    sP4: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).

thf(func_def_66,type,
    sP5: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_67,type,
    sK6: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_68,type,
    sK7: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_69,type,
    sK8: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_70,type,
    sK9: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_71,type,
    sK10: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_72,type,
    sK11: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_73,type,
    sK12: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_74,type,
    sK13: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_75,type,
    sK14: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_76,type,
    sK15: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_77,type,
    sK16: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_78,type,
    sK17: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_79,type,
    sK18: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_80,type,
    sK19: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_81,type,
    sK20: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_82,type,
    sK21: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_83,type,
    sK22: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_84,type,
    sK23: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_85,type,
    sK24: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_86,type,
    sK25: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_87,type,
    sK26: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_88,type,
    sK27: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_89,type,
    sK28: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_90,type,
    sK29: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_91,type,
    sK30: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_92,type,
    sK31: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_93,type,
    sK32: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_94,type,
    sK33: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_95,type,
    sK34: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_96,type,
    sK35: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_97,type,
    sK36: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_98,type,
    sK37: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_99,type,
    sK38: 
      !>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_100,type,
    sK39: 
      !>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).

thf(func_def_101,type,
    sK40: 
      !>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).

thf(func_def_102,type,
    sK41: 
      !>[X0: $tType] : ( set(X0) > product_prod(X0,X0) > X0 ) ).

thf(func_def_103,type,
    sK42: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

thf(func_def_104,type,
    sK43: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

thf(func_def_105,type,
    sK44: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

thf(func_def_106,type,
    sK45: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

thf(func_def_107,type,
    sK46: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_108,type,
    sK47: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > set(product_prod(X1,X0)) > X1 ) ).

thf(func_def_109,type,
    sK48: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > set(product_prod(X1,X0)) > X0 ) ).

thf(func_def_110,type,
    sK49: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X1 ) ).

thf(func_def_111,type,
    sK50: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X0 ) ).

thf(func_def_112,type,
    sK51: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X1 ) ).

thf(func_def_113,type,
    sK52: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X0 ) ).

thf(func_def_114,type,
    sK53: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 > X1 ) ).

thf(func_def_115,type,
    sK54: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 > X1 ) ).

thf(func_def_116,type,
    sK55: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

thf(func_def_117,type,
    sK56: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

thf(func_def_118,type,
    sK57: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

thf(func_def_119,type,
    sK58: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X2 ) ).

thf(func_def_120,type,
    sK59: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X1 ) ).

thf(func_def_121,type,
    sK60: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X0 ) ).

thf(func_def_122,type,
    sK61: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > set(product_prod(X0,X1)) > X0 ) ).

thf(func_def_123,type,
    sK62: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > set(product_prod(X0,X1)) > X1 ) ).

thf(func_def_124,type,
    sK63: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

thf(func_def_125,type,
    sK64: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

thf(func_def_126,type,
    sK65: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

thf(func_def_127,type,
    sK66: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

thf(func_def_128,type,
    sK67: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X3 ) ).

thf(func_def_129,type,
    sK68: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X2 ) ).

thf(func_def_130,type,
    sK69: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X1 ) ).

thf(func_def_131,type,
    sK70: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X0 ) ).

thf(func_def_132,type,
    sK71: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).

thf(func_def_133,type,
    sK72: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).

thf(func_def_134,type,
    sK73: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).

thf(func_def_135,type,
    sK74: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).

thf(func_def_136,type,
    sK75: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).

thf(func_def_137,type,
    sK76: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X4 ) ).

thf(func_def_138,type,
    sK77: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X3 ) ).

thf(func_def_139,type,
    sK78: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X2 ) ).

thf(func_def_140,type,
    sK79: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X1 ) ).

thf(func_def_141,type,
    sK80: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X0 ) ).

thf(func_def_142,type,
    sK81: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).

thf(func_def_143,type,
    sK82: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).

thf(func_def_144,type,
    sK83: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).

thf(func_def_145,type,
    sK84: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).

thf(func_def_146,type,
    sK85: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).

thf(func_def_147,type,
    sK86: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).

thf(func_def_148,type,
    sK87: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X5 ) ).

thf(func_def_149,type,
    sK88: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X4 ) ).

thf(func_def_150,type,
    sK89: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X3 ) ).

thf(func_def_151,type,
    sK90: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X2 ) ).

thf(func_def_152,type,
    sK91: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X1 ) ).

thf(func_def_153,type,
    sK92: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X0 ) ).

thf(func_def_154,type,
    sK93: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X0 ) ).

thf(func_def_155,type,
    sK94: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X1 ) ).

thf(func_def_156,type,
    sK95: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X2 ) ).

thf(func_def_157,type,
    sK96: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X3 ) ).

thf(func_def_158,type,
    sK97: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X4 ) ).

thf(func_def_159,type,
    sK98: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X5 ) ).

thf(func_def_160,type,
    sK99: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X6 ) ).

thf(func_def_161,type,
    sK100: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X6 ) ).

thf(func_def_162,type,
    sK101: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X5 ) ).

thf(func_def_163,type,
    sK102: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X4 ) ).

thf(func_def_164,type,
    sK103: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X3 ) ).

thf(func_def_165,type,
    sK104: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X2 ) ).

thf(func_def_166,type,
    sK105: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X1 ) ).

thf(func_def_167,type,
    sK106: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X0 ) ).

thf(func_def_169,type,
    sK108: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 > set(X0) > set(X0) ) ).

thf(func_def_170,type,
    sK109: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 > X0 ) ).

thf(func_def_171,type,
    sK110: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > X0 > X1 ) ).

thf(func_def_172,type,
    sK111: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 > X1 ) ).

thf(func_def_173,type,
    sK112: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X1,X0) > X0 > X1 ) ).

thf(func_def_174,type,
    sK113: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_175,type,
    sK114: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_176,type,
    sK115: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_177,type,
    sK116: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_178,type,
    sK117: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(f8706,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1803,f8704,f8705]) ).

thf(f8705,plain,
    spl107_2,
    inference(avatar_split_clause,[],[f8700,f1800]) ).

thf(f1800,plain,
    ( spl107_2
  <=> ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier) = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_2])]) ).

thf(f8700,plain,
    vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier) = $true,
    inference(trivial_inequality_removal,[],[f8697]) ).

thf(f8697,plain,
    ( ( $true != $true )
    | ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier) = $true ) ),
    inference(superposition,[],[f1309,f1176]) ).

thf(f1176,plain,
    vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),y),z)),relation) = $true,
    inference(cnf_transformation,[],[f285]) ).

thf(f285,plain,
    ( ( vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),y),z)),relation) = $true )
    & ( vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),z),y)),relation) = $true ) ),
    inference(fool_elimination,[],[f284]) ).

thf(f284,plain,
    ( vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),y),z)),relation)
    & vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),z),y)),relation) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),y),z)),relation)
    & vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),z),y)),relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).

thf(f1309,plain,
    ! [X0: a,X1: a] :
      ( ( $true != vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),X0),X1)),relation) )
      | ( $true = vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),X0),carrier) ) ),
    inference(cnf_transformation,[],[f916]) ).

thf(f916,plain,
    ! [X0: a,X1: a] :
      ( ( $true = vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),X0),carrier) )
      | ( $true != vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),X0),X1)),relation) ) ),
    inference(ennf_transformation,[],[f481]) ).

thf(f481,plain,
    ! [X0: a,X1: a] :
      ( ( $true = vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),X0),X1)),relation) )
     => ( $true = vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),X0),carrier) ) ),
    inference(fool_elimination,[],[f480]) ).

thf(f480,plain,
    ! [X0: a,X1: a] :
      ( vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),X0),X1)),relation)
     => vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),X0),carrier) ),
    inference(rectify,[],[f9]) ).

thf(f9,axiom,
    ! [X6: a,X7: a] :
      ( vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),X6),X7)),relation)
     => vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),X6),carrier) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_not__outside) ).

thf(f8704,plain,
    spl107_1,
    inference(avatar_contradiction_clause,[],[f8703]) ).

thf(f8703,plain,
    ( $false
    | spl107_1 ),
    inference(trivial_inequality_removal,[],[f8702]) ).

thf(f8702,plain,
    ( ( $true = $false )
    | spl107_1 ),
    inference(forward_demodulation,[],[f8701,f1848]) ).

thf(f1848,plain,
    ( ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) = $false )
    | spl107_1 ),
    inference(trivial_inequality_removal,[],[f1846]) ).

thf(f1846,plain,
    ( ( $true != $true )
    | ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) = $false )
    | spl107_1 ),
    inference(superposition,[],[f1798,f281]) ).

thf(f281,plain,
    ! [X0: $o] :
      ( ( $true = X0 )
      | ( $false = X0 ) ),
    introduced(fool_axiom,[]) ).

thf(f1798,plain,
    ( ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) != $true )
    | spl107_1 ),
    inference(avatar_component_clause,[],[f1796]) ).

thf(f1796,plain,
    ( spl107_1
  <=> ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl107_1])]) ).

thf(f8701,plain,
    vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) = $true,
    inference(trivial_inequality_removal,[],[f8696]) ).

thf(f8696,plain,
    ( ( $true != $true )
    | ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) = $true ) ),
    inference(superposition,[],[f1309,f1175]) ).

thf(f1175,plain,
    vAPP(set(product_prod(a,a)),$o,vAPP(product_prod(a,a),sTfun(set(product_prod(a,a)),$o),member(product_prod(a,a)),vAPP(a,product_prod(a,a),vAPP(a,sTfun(a,product_prod(a,a)),product_Pair(a,a),z),y)),relation) = $true,
    inference(cnf_transformation,[],[f285]) ).

thf(f1803,plain,
    ( ~ spl107_1
    | ~ spl107_2 ),
    inference(avatar_split_clause,[],[f1174,f1800,f1796]) ).

thf(f1174,plain,
    ( ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier) != $true )
    | ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) != $true ) ),
    inference(cnf_transformation,[],[f814]) ).

thf(f814,plain,
    ( ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier) != $true )
    | ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) != $true ) ),
    inference(ennf_transformation,[],[f283]) ).

thf(f283,plain,
    ~ ( ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier) = $true )
      & ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) = $true ) ),
    inference(fool_elimination,[],[f282]) ).

thf(f282,plain,
    ~ ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier)
      & vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) ),
    inference(rectify,[],[f279]) ).

thf(f279,negated_conjecture,
    ~ ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier)
      & vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) ),
    inference(negated_conjecture,[],[f278]) ).

thf(f278,conjecture,
    ( vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),y),carrier)
    & vAPP(set(a),$o,vAPP(a,sTfun(set(a),$o),member(a),z),carrier) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP153^2 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 15:18:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (19166)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40  % (19169)WARNING: value z3 for option sas not known
% 0.21/0.40  % (19170)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40  % (19173)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40  % (19167)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40  % (19172)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.40  % (19171)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.40  % (19168)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40  % (19169)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.44  % (19173)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.45  % Exception at run slice level
% 0.21/0.45  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.45  % Exception at run slice level
% 0.21/0.45  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.47  % (19174)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.47  % (19175)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.50  % Exception at run slice level
% 0.21/0.50  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.01/0.51  % (19176)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 1.01/0.52  % (19174)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.10/0.53  % (19175)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.10/0.54  % Exception at run slice level
% 1.10/0.54  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.10/0.55  % (19177)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 2.64/0.87  % (19176)First to succeed.
% 2.64/0.87  % (19176)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19166"
% 2.64/0.87  % (19176)Refutation found. Thanks to Tanya!
% 2.64/0.87  % SZS status Theorem for theBenchmark
% 2.64/0.87  % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.88  % (19176)------------------------------
% 2.64/0.88  % (19176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.64/0.88  % (19176)Termination reason: Refutation
% 2.64/0.88  
% 2.64/0.88  % (19176)Memory used [KB]: 4993
% 2.64/0.88  % (19176)Time elapsed: 0.386 s
% 2.64/0.88  % (19176)Instructions burned: 1185 (million)
% 2.64/0.88  % (19166)Success in time 0.499 s
%------------------------------------------------------------------------------