TSTP Solution File: ITP073^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP073^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 22:33:22 EDT 2024

% Result   : Theorem 0.22s 0.58s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  181
% Syntax   : Number of formulae    :  209 (  24 unt; 177 typ;   0 def)
%            Number of atoms       :  118 (  32 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :  173 (  12   ~;   5   |;   0   &; 139   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :  421 ( 421   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  171 ( 167 usr;   8 con; 0-3 aty)
%                                         (   5  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   47 (  38   ^   9   !;   0   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_HF_Mirabelle_hf: $tType ).

thf(type_def_6,type,
    nat: $tType ).

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

thf(type_def_9,type,
    set_se933006839lle_hf: $tType ).

thf(type_def_10,type,
    hF_Mirabelle_hf: $tType ).

thf(func_def_0,type,
    set_se933006839lle_hf: $tType ).

thf(func_def_1,type,
    set_HF_Mirabelle_hf: $tType ).

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

thf(func_def_3,type,
    set_nat: $tType ).

thf(func_def_4,type,
    nat: $tType ).

thf(func_def_5,type,
    finite1213132899lle_hf: set_HF_Mirabelle_hf > nat ).

thf(func_def_6,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_7,type,
    finite90088345lle_hf: set_se933006839lle_hf > nat ).

thf(func_def_8,type,
    finite586181922lle_hf: set_HF_Mirabelle_hf > $o ).

thf(func_def_9,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_10,type,
    finite1450550360lle_hf: set_se933006839lle_hf > $o ).

thf(func_def_11,type,
    inj_on755450110lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > $o ).

thf(func_def_12,type,
    inj_on1874279374hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > $o ).

thf(func_def_13,type,
    inj_on1988990670lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > $o ).

thf(func_def_14,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_15,type,
    inj_on811196232lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > $o ).

thf(func_def_16,type,
    zero_z189798548lle_hf: hF_Mirabelle_hf ).

thf(func_def_17,type,
    zero_zero_nat: nat ).

thf(func_def_18,type,
    hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_19,type,
    hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_20,type,
    hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_21,type,
    hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_22,type,
    hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_23,type,
    hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_24,type,
    hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).

thf(func_def_25,type,
    hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).

thf(func_def_26,type,
    ord_le1310584031lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).

thf(func_def_27,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_28,type,
    ord_le1344122901lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).

thf(func_def_29,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_30,type,
    ord_le2017230260lle_hf: ( $o > hF_Mirabelle_hf ) > ( $o > hF_Mirabelle_hf ) > $o ).

thf(func_def_31,type,
    ord_less_eq_o_nat: ( $o > nat ) > ( $o > nat ) > $o ).

thf(func_def_32,type,
    ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).

thf(func_def_33,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_34,type,
    ord_le432112161lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).

thf(func_def_35,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_36,type,
    order_1640852850lle_hf: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_37,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(func_def_38,type,
    order_690706045lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > $o ).

thf(func_def_39,type,
    order_557194383hf_nat: ( hF_Mirabelle_hf > nat ) > $o ).

thf(func_def_40,type,
    order_671905679lle_hf: ( nat > hF_Mirabelle_hf ) > $o ).

thf(func_def_41,type,
    order_1631207636at_nat: ( nat > nat ) > $o ).

thf(func_def_42,type,
    orderi1737556723lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > $o ).

thf(func_def_43,type,
    ordering_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_44,type,
    collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).

thf(func_def_45,type,
    collec1758573718lle_hf: ( set_HF_Mirabelle_hf > $o ) > set_se933006839lle_hf ).

thf(func_def_46,type,
    image_1743964010lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).

thf(func_def_47,type,
    image_131453538hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > set_nat ).

thf(func_def_48,type,
    image_246164834lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > set_HF_Mirabelle_hf ).

thf(func_def_49,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_50,type,
    image_899003828lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > set_HF_Mirabelle_hf ).

thf(func_def_51,type,
    set_or1544565540an_nat: nat > nat > set_nat ).

thf(func_def_52,type,
    member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).

thf(func_def_53,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_54,type,
    member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o ).

thf(func_def_55,type,
    a: hF_Mirabelle_hf ).

thf(func_def_56,type,
    b: hF_Mirabelle_hf ).

thf(func_def_71,type,
    sK0: ( nat > hF_Mirabelle_hf ) > nat ).

thf(func_def_72,type,
    sK1: ( nat > hF_Mirabelle_hf ) > nat ).

thf(func_def_73,type,
    sK2: ( nat > hF_Mirabelle_hf ) > nat ).

thf(func_def_74,type,
    sK3: ( nat > hF_Mirabelle_hf ) > nat ).

thf(func_def_75,type,
    sK4: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_76,type,
    sK5: ( nat > hF_Mirabelle_hf ) > nat ).

thf(func_def_77,type,
    sK6: ( nat > hF_Mirabelle_hf ) > nat ).

thf(func_def_78,type,
    sK7: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_79,type,
    sK8: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_80,type,
    sK9: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_81,type,
    sK10: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_82,type,
    sK11: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_83,type,
    sK12: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_84,type,
    sK13: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_85,type,
    sK14: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_86,type,
    sK15: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_87,type,
    sK16: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_88,type,
    sK17: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_89,type,
    sK18: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_90,type,
    sK19: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_91,type,
    sK20: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_92,type,
    sK21: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_93,type,
    sK22: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_94,type,
    sK23: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_95,type,
    sK24: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_96,type,
    sK25: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_97,type,
    sK26: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_98,type,
    sK27: ( nat > hF_Mirabelle_hf ) > nat ).

thf(func_def_99,type,
    sK28: ( nat > hF_Mirabelle_hf ) > nat ).

thf(func_def_100,type,
    sK29: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_101,type,
    sK30: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_102,type,
    sK31: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_103,type,
    sK32: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_104,type,
    sK33: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_105,type,
    sK34: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_106,type,
    sK35: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_107,type,
    sK36: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_108,type,
    sK37: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).

thf(func_def_109,type,
    sK38: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_110,type,
    sK39: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_111,type,
    sK40: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_112,type,
    sK41: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_113,type,
    sK42: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_115,type,
    sK44: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_116,type,
    sK45: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_117,type,
    sK46: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_118,type,
    sK47: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_119,type,
    sK48: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_120,type,
    sK49: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_121,type,
    sK50: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_122,type,
    sK51: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_123,type,
    sK52: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_124,type,
    sK53: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_125,type,
    sK54: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_126,type,
    sK55: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_127,type,
    sK56: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_128,type,
    sK57: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_129,type,
    sK58: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_130,type,
    sK59: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_131,type,
    sK60: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_132,type,
    sK61: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_133,type,
    sK62: hF_Mirabelle_hf ).

thf(func_def_134,type,
    sK63: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_135,type,
    sK64: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_136,type,
    sK65: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_137,type,
    sK66: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_138,type,
    sK67: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_139,type,
    sK68: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_140,type,
    sK69: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_141,type,
    sK70: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_142,type,
    sK71: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_143,type,
    sK72: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_144,type,
    sK73: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_145,type,
    sK74: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_146,type,
    sK75: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_147,type,
    sK76: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_148,type,
    sK77: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_149,type,
    sK78: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_150,type,
    sK79: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_151,type,
    sK80: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_152,type,
    sK81: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_153,type,
    sK82: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_154,type,
    sK83: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_155,type,
    sK84: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_156,type,
    sK85: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_157,type,
    sK86: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_158,type,
    sK87: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_159,type,
    sK88: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_160,type,
    sK89: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_161,type,
    sK90: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_162,type,
    sK91: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_163,type,
    sK92: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_164,type,
    sK93: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).

thf(func_def_165,type,
    sK94: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_166,type,
    sK95: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_167,type,
    sK96: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_168,type,
    sK97: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_169,type,
    sK98: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_170,type,
    sK99: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_171,type,
    sK100: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_172,type,
    sK101: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_173,type,
    sK102: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_174,type,
    sK103: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_175,type,
    sK104: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_176,type,
    sK105: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_177,type,
    sK106: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_178,type,
    sK107: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(func_def_179,type,
    sK108: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).

thf(func_def_180,type,
    sK109: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_181,type,
    sK110: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_182,type,
    sK111: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_183,type,
    sK112: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).

thf(func_def_184,type,
    sK113: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_185,type,
    sK114: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(func_def_186,type,
    sK115: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).

thf(f1902,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1901]) ).

thf(f1901,plain,
    $false = $true,
    inference(forward_demodulation,[],[f1900,f1436]) ).

thf(f1436,plain,
    ( $false
    = ( member1367349282lle_hf @ sK62 @ ( hF_Mirabelle_hfset @ b ) ) ),
    inference(binary_proxy_clausification,[],[f1435]) ).

thf(f1435,plain,
    ( $false
    = ( ( member1367349282lle_hf @ sK62 @ ( hF_Mirabelle_hfset @ a ) )
     => ( member1367349282lle_hf @ sK62 @ ( hF_Mirabelle_hfset @ b ) ) ) ),
    inference(beta_eta_normalization,[],[f1434]) ).

thf(f1434,plain,
    ( $false
    = ( ^ [Y0: hF_Mirabelle_hf] :
          ( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
         => ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ b ) ) )
      @ sK62 ) ),
    inference(sigma_clausification,[],[f1433]) ).

thf(f1433,plain,
    ( $true
   != ( !! @ hF_Mirabelle_hf
      @ ^ [Y0: hF_Mirabelle_hf] :
          ( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
         => ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ b ) ) ) ) ),
    inference(beta_eta_normalization,[],[f1219]) ).

thf(f1219,plain,
    ( $true
   != ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
          ( !! @ hF_Mirabelle_hf
          @ ^ [Y2: hF_Mirabelle_hf] :
              ( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
                @ Y2
                @ Y0 )
             => ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
                @ Y2
                @ Y1 ) ) )
      @ a
      @ b ) ),
    inference(definition_unfolding,[],[f1152,f1202]) ).

thf(f1202,plain,
    ( ord_le976219883lle_hf
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
          ( !! @ hF_Mirabelle_hf
          @ ^ [Y2: hF_Mirabelle_hf] :
              ( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
                @ Y2
                @ Y0 )
             => ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
                @ Y2
                @ Y1 ) ) ) ) ),
    inference(definition_unfolding,[],[f1155,f1172,f1172]) ).

thf(f1172,plain,
    ( hF_Mirabelle_hmem
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f417]) ).

thf(f417,plain,
    ( hF_Mirabelle_hmem
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f416]) ).

thf(f416,plain,
    ( hF_Mirabelle_hmem
    = ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ X1 ) ) ) ),
    inference(rectify,[],[f71]) ).

thf(f71,axiom,
    ( hF_Mirabelle_hmem
    = ( ^ [X5: hF_Mirabelle_hf,X6: hF_Mirabelle_hf] : ( member1367349282lle_hf @ X5 @ ( hF_Mirabelle_hfset @ X6 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_hmem__def) ).

thf(f1155,plain,
    ( ord_le976219883lle_hf
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
          ( !! @ hF_Mirabelle_hf
          @ ^ [Y2: hF_Mirabelle_hf] :
              ( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
             => ( hF_Mirabelle_hmem @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f421]) ).

thf(f421,plain,
    ( ord_le976219883lle_hf
    = ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
          ( !! @ hF_Mirabelle_hf
          @ ^ [Y2: hF_Mirabelle_hf] :
              ( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
             => ( hF_Mirabelle_hmem @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f420]) ).

thf(f420,plain,
    ( ord_le976219883lle_hf
    = ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
        ! [X2: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X2 @ X0 )
         => ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,axiom,
    ( ord_le976219883lle_hf
    = ( ^ [X20: hF_Mirabelle_hf,X21: hF_Mirabelle_hf] :
        ! [X7: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ X7 @ X20 )
         => ( hF_Mirabelle_hmem @ X7 @ X21 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_less__eq__hf__def) ).

thf(f1152,plain,
    ( ( ord_le976219883lle_hf @ a @ b )
   != $true ),
    inference(cnf_transformation,[],[f1032]) ).

thf(f1032,plain,
    ( ( ord_le976219883lle_hf @ a @ b )
   != $true ),
    inference(flattening,[],[f371]) ).

thf(f371,plain,
    ( ( ord_le976219883lle_hf @ a @ b )
   != $true ),
    inference(fool_elimination,[],[f370]) ).

thf(f370,plain,
    ~ ( ord_le976219883lle_hf @ a @ b ),
    inference(rectify,[],[f350]) ).

thf(f350,negated_conjecture,
    ~ ( ord_le976219883lle_hf @ a @ b ),
    inference(negated_conjecture,[],[f349]) ).

thf(f349,conjecture,
    ord_le976219883lle_hf @ a @ b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

thf(f1900,plain,
    ( ( member1367349282lle_hf @ sK62 @ ( hF_Mirabelle_hfset @ b ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f1899]) ).

thf(f1899,plain,
    ( ( ( member1367349282lle_hf @ sK62 @ ( hF_Mirabelle_hfset @ b ) )
      = $true )
    | ( $true != $true ) ),
    inference(superposition,[],[f1784,f1437]) ).

thf(f1437,plain,
    ( $true
    = ( member1367349282lle_hf @ sK62 @ ( hF_Mirabelle_hfset @ a ) ) ),
    inference(binary_proxy_clausification,[],[f1435]) ).

thf(f1784,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ a ) )
       != $true )
      | ( ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ b ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f1249]) ).

thf(f1249,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
          @ X0
          @ b )
        = $true )
      | ( ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
          @ X0
          @ a )
       != $true ) ),
    inference(definition_unfolding,[],[f1185,f1172,f1172]) ).

thf(f1185,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( $true
       != ( hF_Mirabelle_hmem @ X0 @ a ) )
      | ( ( hF_Mirabelle_hmem @ X0 @ b )
        = $true ) ),
    inference(cnf_transformation,[],[f1061]) ).

thf(f1061,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( $true
       != ( hF_Mirabelle_hmem @ X0 @ a ) )
      | ( ( hF_Mirabelle_hmem @ X0 @ b )
        = $true ) ),
    inference(ennf_transformation,[],[f898]) ).

thf(f898,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( $true
        = ( hF_Mirabelle_hmem @ X0 @ a ) )
     => ( ( hF_Mirabelle_hmem @ X0 @ b )
        = $true ) ),
    inference(fool_elimination,[],[f897]) ).

thf(f897,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ X0 @ a )
     => ( hF_Mirabelle_hmem @ X0 @ b ) ),
    inference(rectify,[],[f348]) ).

thf(f348,axiom,
    ! [X46: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ X46 @ a )
     => ( hF_Mirabelle_hmem @ X46 @ b ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ITP073^1 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 17:35:08 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a TH0_THM_EQU_NAR problem
% 0.13/0.36  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/sandbox/benchmark/theBenchmark.p
% 0.13/0.40  % (15303)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.40  % (15305)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)
% 0.13/0.40  % (15307)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)
% 0.13/0.40  % (15304)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)
% 0.13/0.40  % (15306)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.40  % (15308)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)
% 0.13/0.40  % (15309)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.40  % (15310)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)
% 0.13/0.40  % (15306)Instruction limit reached!
% 0.13/0.40  % (15306)------------------------------
% 0.13/0.40  % (15306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (15306)Termination reason: Unknown
% 0.13/0.40  % (15307)Instruction limit reached!
% 0.13/0.40  % (15307)------------------------------
% 0.13/0.40  % (15307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (15307)Termination reason: Unknown
% 0.13/0.40  % (15307)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (15307)Memory used [KB]: 1407
% 0.13/0.40  % (15307)Time elapsed: 0.004 s
% 0.13/0.40  % (15307)Instructions burned: 2 (million)
% 0.13/0.40  % (15307)------------------------------
% 0.13/0.40  % (15307)------------------------------
% 0.13/0.40  % (15306)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (15306)Memory used [KB]: 1407
% 0.13/0.40  % (15306)Time elapsed: 0.004 s
% 0.13/0.40  % (15306)Instructions burned: 2 (million)
% 0.13/0.40  % (15306)------------------------------
% 0.13/0.40  % (15306)------------------------------
% 0.13/0.40  % (15304)Instruction limit reached!
% 0.13/0.40  % (15304)------------------------------
% 0.13/0.40  % (15304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (15304)Termination reason: Unknown
% 0.13/0.40  % (15304)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (15304)Memory used [KB]: 1407
% 0.13/0.40  % (15304)Time elapsed: 0.004 s
% 0.13/0.40  % (15304)Instructions burned: 4 (million)
% 0.13/0.40  % (15304)------------------------------
% 0.13/0.40  % (15304)------------------------------
% 0.13/0.40  % (15310)Instruction limit reached!
% 0.13/0.40  % (15310)------------------------------
% 0.13/0.40  % (15310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (15310)Termination reason: Unknown
% 0.13/0.40  % (15310)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (15310)Memory used [KB]: 1407
% 0.13/0.40  % (15310)Time elapsed: 0.005 s
% 0.13/0.40  % (15310)Instructions burned: 4 (million)
% 0.13/0.40  % (15310)------------------------------
% 0.13/0.40  % (15310)------------------------------
% 0.22/0.41  % (15309)Instruction limit reached!
% 0.22/0.41  % (15309)------------------------------
% 0.22/0.41  % (15309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (15309)Termination reason: Unknown
% 0.22/0.41  % (15309)Termination phase: shuffling
% 0.22/0.41  
% 0.22/0.41  % (15309)Memory used [KB]: 1791
% 0.22/0.41  % (15309)Time elapsed: 0.014 s
% 0.22/0.41  % (15309)Instructions burned: 18 (million)
% 0.22/0.41  % (15309)------------------------------
% 0.22/0.41  % (15309)------------------------------
% 0.22/0.41  % (15311)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)
% 0.22/0.41  % (15312)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)
% 0.22/0.41  % (15305)Instruction limit reached!
% 0.22/0.41  % (15305)------------------------------
% 0.22/0.41  % (15305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41  % (15305)Termination reason: Unknown
% 0.22/0.41  % (15305)Termination phase: Property scanning
% 0.22/0.41  
% 0.22/0.41  % (15305)Memory used [KB]: 2046
% 0.22/0.41  % (15305)Time elapsed: 0.020 s
% 0.22/0.41  % (15305)Instructions burned: 28 (million)
% 0.22/0.41  % (15305)------------------------------
% 0.22/0.41  % (15305)------------------------------
% 0.22/0.41  % (15313)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)
% 0.22/0.41  % (15314)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)
% 0.22/0.42  % (15313)Instruction limit reached!
% 0.22/0.42  % (15313)------------------------------
% 0.22/0.42  % (15313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (15313)Termination reason: Unknown
% 0.22/0.42  % (15313)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (15313)Memory used [KB]: 1407
% 0.22/0.42  % (15313)Time elapsed: 0.004 s
% 0.22/0.42  % (15313)Instructions burned: 4 (million)
% 0.22/0.42  % (15313)------------------------------
% 0.22/0.42  % (15313)------------------------------
% 0.22/0.42  % (15312)Instruction limit reached!
% 0.22/0.42  % (15312)------------------------------
% 0.22/0.42  % (15312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42  % (15312)Termination reason: Unknown
% 0.22/0.42  % (15312)Termination phase: shuffling
% 0.22/0.42  
% 0.22/0.42  % (15312)Memory used [KB]: 1663
% 0.22/0.42  % (15312)Time elapsed: 0.012 s
% 0.22/0.42  % (15312)Instructions burned: 15 (million)
% 0.22/0.42  % (15312)------------------------------
% 0.22/0.42  % (15312)------------------------------
% 0.22/0.42  % (15315)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43  % (15315)Instruction limit reached!
% 0.22/0.43  % (15315)------------------------------
% 0.22/0.43  % (15315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (15315)Termination reason: Unknown
% 0.22/0.43  % (15315)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (15315)Memory used [KB]: 1535
% 0.22/0.43  % (15315)Time elapsed: 0.007 s
% 0.22/0.43  % (15315)Instructions burned: 7 (million)
% 0.22/0.43  % (15315)------------------------------
% 0.22/0.43  % (15315)------------------------------
% 0.22/0.43  % (15316)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43  % (15317)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)
% 0.22/0.43  % (15311)Instruction limit reached!
% 0.22/0.43  % (15311)------------------------------
% 0.22/0.43  % (15311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (15311)Termination reason: Unknown
% 0.22/0.43  % (15311)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (15311)Memory used [KB]: 2174
% 0.22/0.43  % (15311)Time elapsed: 0.021 s
% 0.22/0.43  % (15311)Instructions burned: 37 (million)
% 0.22/0.43  % (15311)------------------------------
% 0.22/0.43  % (15311)------------------------------
% 0.22/0.43  % (15317)Instruction limit reached!
% 0.22/0.43  % (15317)------------------------------
% 0.22/0.43  % (15317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (15317)Termination reason: Unknown
% 0.22/0.43  % (15317)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (15317)Memory used [KB]: 1407
% 0.22/0.43  % (15317)Time elapsed: 0.005 s
% 0.22/0.43  % (15317)Instructions burned: 4 (million)
% 0.22/0.43  % (15317)------------------------------
% 0.22/0.43  % (15317)------------------------------
% 0.22/0.44  % (15318)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)
% 0.22/0.44  % (15316)Instruction limit reached!
% 0.22/0.44  % (15316)------------------------------
% 0.22/0.44  % (15316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (15318)Instruction limit reached!
% 0.22/0.44  % (15318)------------------------------
% 0.22/0.44  % (15318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44  % (15318)Termination reason: Unknown
% 0.22/0.44  % (15318)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (15318)Memory used [KB]: 1407
% 0.22/0.44  % (15318)Time elapsed: 0.004 s
% 0.22/0.44  % (15318)Instructions burned: 3 (million)
% 0.22/0.44  % (15318)------------------------------
% 0.22/0.44  % (15318)------------------------------
% 0.22/0.44  % (15316)Termination reason: Unknown
% 0.22/0.44  % (15316)Termination phase: shuffling
% 0.22/0.44  
% 0.22/0.44  % (15316)Memory used [KB]: 1791
% 0.22/0.44  % (15316)Time elapsed: 0.013 s
% 0.22/0.44  % (15316)Instructions burned: 17 (million)
% 0.22/0.44  % (15316)------------------------------
% 0.22/0.44  % (15316)------------------------------
% 0.22/0.44  % (15319)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)
% 0.22/0.45  % (15320)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45  % (15319)Instruction limit reached!
% 0.22/0.45  % (15319)------------------------------
% 0.22/0.45  % (15319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (15319)Termination reason: Unknown
% 0.22/0.45  % (15319)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (15319)Memory used [KB]: 1535
% 0.22/0.45  % (15319)Time elapsed: 0.008 s
% 0.22/0.45  % (15319)Instructions burned: 8 (million)
% 0.22/0.45  % (15319)------------------------------
% 0.22/0.45  % (15319)------------------------------
% 0.22/0.45  % (15320)Instruction limit reached!
% 0.22/0.45  % (15320)------------------------------
% 0.22/0.45  % (15320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (15320)Termination reason: Unknown
% 0.22/0.45  % (15320)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (15320)Memory used [KB]: 1407
% 0.22/0.45  % (15320)Time elapsed: 0.004 s
% 0.22/0.45  % (15320)Instructions burned: 3 (million)
% 0.22/0.45  % (15320)------------------------------
% 0.22/0.45  % (15320)------------------------------
% 0.22/0.45  % (15321)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45  % (15321)Instruction limit reached!
% 0.22/0.45  % (15321)------------------------------
% 0.22/0.45  % (15321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (15321)Termination reason: Unknown
% 0.22/0.45  % (15321)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (15321)Memory used [KB]: 1407
% 0.22/0.45  % (15321)Time elapsed: 0.005 s
% 0.22/0.45  % (15321)Instructions burned: 5 (million)
% 0.22/0.45  % (15321)------------------------------
% 0.22/0.45  % (15321)------------------------------
% 0.22/0.45  % (15323)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46  % (15322)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.46  % (15329)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.47  % (15331)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.47  % (15327)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.47  % (15327)Instruction limit reached!
% 0.22/0.47  % (15327)------------------------------
% 0.22/0.47  % (15327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (15327)Termination reason: Unknown
% 0.22/0.47  % (15327)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (15327)Memory used [KB]: 1535
% 0.22/0.47  % (15327)Time elapsed: 0.006 s
% 0.22/0.47  % (15327)Instructions burned: 7 (million)
% 0.22/0.47  % (15327)------------------------------
% 0.22/0.47  % (15327)------------------------------
% 0.22/0.47  % (15322)Instruction limit reached!
% 0.22/0.47  % (15322)------------------------------
% 0.22/0.47  % (15322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (15322)Termination reason: Unknown
% 0.22/0.47  % (15322)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (15322)Memory used [KB]: 1791
% 0.22/0.47  % (15322)Time elapsed: 0.017 s
% 0.22/0.47  % (15322)Instructions burned: 18 (million)
% 0.22/0.47  % (15322)------------------------------
% 0.22/0.47  % (15322)------------------------------
% 0.22/0.48  % (15331)Instruction limit reached!
% 0.22/0.48  % (15331)------------------------------
% 0.22/0.48  % (15331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (15331)Termination reason: Unknown
% 0.22/0.48  % (15331)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (15331)Memory used [KB]: 1918
% 0.22/0.48  % (15331)Time elapsed: 0.016 s
% 0.22/0.48  % (15331)Instructions burned: 21 (million)
% 0.22/0.48  % (15331)------------------------------
% 0.22/0.48  % (15331)------------------------------
% 0.22/0.49  % (15335)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.22/0.49  % (15336)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)
% 0.22/0.49  % (15335)Instruction limit reached!
% 0.22/0.49  % (15335)------------------------------
% 0.22/0.49  % (15335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49  % (15335)Termination reason: Unknown
% 0.22/0.49  % (15335)Termination phase: shuffling
% 0.22/0.49  
% 0.22/0.49  % (15335)Memory used [KB]: 1407
% 0.22/0.49  % (15335)Time elapsed: 0.005 s
% 0.22/0.49  % (15335)Instructions burned: 5 (million)
% 0.22/0.49  % (15335)------------------------------
% 0.22/0.49  % (15335)------------------------------
% 0.22/0.49  % (15336)Instruction limit reached!
% 0.22/0.49  % (15336)------------------------------
% 0.22/0.49  % (15336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49  % (15336)Termination reason: Unknown
% 0.22/0.49  % (15336)Termination phase: shuffling
% 0.22/0.49  
% 0.22/0.49  % (15336)Memory used [KB]: 1407
% 0.22/0.49  % (15336)Time elapsed: 0.005 s
% 0.22/0.49  % (15336)Instructions burned: 6 (million)
% 0.22/0.49  % (15336)------------------------------
% 0.22/0.49  % (15336)------------------------------
% 0.22/0.49  % (15303)Instruction limit reached!
% 0.22/0.49  % (15303)------------------------------
% 0.22/0.49  % (15303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49  % (15303)Termination reason: Unknown
% 0.22/0.49  % (15303)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (15303)Memory used [KB]: 7675
% 0.22/0.49  % (15303)Time elapsed: 0.101 s
% 0.22/0.49  % (15303)Instructions burned: 183 (million)
% 0.22/0.49  % (15303)------------------------------
% 0.22/0.49  % (15303)------------------------------
% 0.22/0.50  % (15340)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.51  % (15346)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)
% 0.22/0.51  % (15351)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)
% 0.22/0.51  % (15350)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)
% 0.22/0.52  % (15350)Instruction limit reached!
% 0.22/0.52  % (15350)------------------------------
% 0.22/0.52  % (15350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52  % (15350)Termination reason: Unknown
% 0.22/0.52  % (15350)Termination phase: shuffling
% 0.22/0.52  
% 0.22/0.52  % (15350)Memory used [KB]: 1791
% 0.22/0.52  % (15350)Time elapsed: 0.010 s
% 0.22/0.52  % (15350)Instructions burned: 20 (million)
% 0.22/0.52  % (15350)------------------------------
% 0.22/0.52  % (15350)------------------------------
% 0.22/0.53  % (15365)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.54  % (15308)Instruction limit reached!
% 0.22/0.54  % (15308)------------------------------
% 0.22/0.54  % (15308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54  % (15308)Termination reason: Unknown
% 0.22/0.54  % (15308)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (15308)Memory used [KB]: 7419
% 0.22/0.54  % (15308)Time elapsed: 0.143 s
% 0.22/0.54  % (15308)Instructions burned: 277 (million)
% 0.22/0.54  % (15308)------------------------------
% 0.22/0.54  % (15308)------------------------------
% 0.22/0.54  % (15365)Instruction limit reached!
% 0.22/0.54  % (15365)------------------------------
% 0.22/0.54  % (15365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54  % (15365)Termination reason: Unknown
% 0.22/0.54  % (15365)Termination phase: shuffling
% 0.22/0.54  
% 0.22/0.54  % (15365)Memory used [KB]: 1791
% 0.22/0.54  % (15365)Time elapsed: 0.009 s
% 0.22/0.54  % (15365)Instructions burned: 18 (million)
% 0.22/0.54  % (15365)------------------------------
% 0.22/0.54  % (15365)------------------------------
% 0.22/0.55  % (15382)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.55  % (15382)Instruction limit reached!
% 0.22/0.55  % (15382)------------------------------
% 0.22/0.55  % (15382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55  % (15382)Termination reason: Unknown
% 0.22/0.55  % (15382)Termination phase: shuffling
% 0.22/0.55  
% 0.22/0.55  % (15382)Memory used [KB]: 1407
% 0.22/0.55  % (15382)Time elapsed: 0.003 s
% 0.22/0.55  % (15382)Instructions burned: 4 (million)
% 0.22/0.55  % (15382)------------------------------
% 0.22/0.55  % (15382)------------------------------
% 0.22/0.55  % (15386)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.56  % (15391)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)
% 0.22/0.56  % (15386)Instruction limit reached!
% 0.22/0.56  % (15386)------------------------------
% 0.22/0.56  % (15386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56  % (15386)Termination reason: Unknown
% 0.22/0.56  % (15386)Termination phase: Property scanning
% 0.22/0.56  
% 0.22/0.56  % (15386)Memory used [KB]: 2046
% 0.22/0.56  % (15386)Time elapsed: 0.013 s
% 0.22/0.56  % (15386)Instructions burned: 32 (million)
% 0.22/0.56  % (15386)------------------------------
% 0.22/0.56  % (15386)------------------------------
% 0.22/0.57  % (15406)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.22/0.58  % (15351)First to succeed.
% 0.22/0.58  % (15351)Refutation found. Thanks to Tanya!
% 0.22/0.58  % SZS status Theorem for theBenchmark
% 0.22/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.58  % (15351)------------------------------
% 0.22/0.58  % (15351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.58  % (15351)Termination reason: Refutation
% 0.22/0.58  
% 0.22/0.58  % (15351)Memory used [KB]: 7419
% 0.22/0.58  % (15351)Time elapsed: 0.071 s
% 0.22/0.58  % (15351)Instructions burned: 183 (million)
% 0.22/0.58  % (15351)------------------------------
% 0.22/0.58  % (15351)------------------------------
% 0.22/0.58  % (15302)Success in time 0.211 s
% 0.22/0.58  % Vampire---4.8 exiting
%------------------------------------------------------------------------------