TSTP Solution File: ITP061^2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP061^2 : 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 : n021.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 22:50:02 EDT 2024

% Result   : Theorem 254.19s 36.67s
% Output   : Refutation 254.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  188
% Syntax   : Number of formulae    :  240 (  24 unt; 178 typ;   0 def)
%            Number of atoms       :  599 (  97 equ;   0 cnn)
%            Maximal formula atoms :    4 (   9 avg)
%            Number of connectives :   96 (  36   ~;  40   |;   0   &;   0   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :  345 ( 336   >;   9   *;   0   +;   0  <<)
%            Number of symbols     :  172 ( 169 usr;  14 con; 0-7 aty)
%            Number of variables   :  224 (   0   ^  81   !;   0   ?; 224   :)
%                                         ( 143  !>;   0  ?*;   0  @-;   0  @+)

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

thf(type_def_6,type,
    configuration_ext: ( $tType * $tType * $tType * $tType ) > $tType ).

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

thf(type_def_8,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(type_def_9,type,
    list: $tType > $tType ).

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

thf(type_def_11,type,
    set: $tType > $tType ).

thf(type_def_12,type,
    p: $tType ).

thf(type_def_13,type,
    v: $tType ).

thf(type_def_14,type,
    s: $tType ).

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

thf(func_def_1,type,
    message: ( $tType * $tType ) > $tType ).

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

thf(func_def_3,type,
    list: $tType > $tType ).

thf(func_def_4,type,
    set: $tType > $tType ).

thf(func_def_5,type,
    nat: $tType ).

thf(func_def_6,type,
    v: $tType ).

thf(func_def_7,type,
    s: $tType ).

thf(func_def_8,type,
    p: $tType ).

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

thf(func_def_10,type,
    size: 
      !>[X0: $tType] : $o ).

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

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

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

thf(func_def_14,type,
    order: 
      !>[X0: $tType] : $o ).

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

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

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

thf(func_def_18,type,
    linorder: 
      !>[X0: $tType] : $o ).

thf(func_def_19,type,
    preorder: 
      !>[X0: $tType] : $o ).

thf(func_def_20,type,
    wellorder: 
      !>[X0: $tType] : $o ).

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

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

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

thf(func_def_24,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_25,type,
    linord1659791738miring: 
      !>[X0: $tType] : $o ).

thf(func_def_26,type,
    enabled: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( configuration_ext(X0,X1,X2,product_unit) > message(X0,X1) > $o ) ).

thf(func_def_27,type,
    isReceiverOf: 
      !>[X0: $tType,X1: $tType] : ( X0 > message(X0,X1) > $o ) ).

thf(func_def_28,type,
    firstOccurrence: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( list(configuration_ext(X0,X1,X2,product_unit)) > list(message(X0,X1)) > message(X0,X1) > nat > $o ) ).

thf(func_def_29,type,
    minimalEnabled: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( list(configuration_ext(X0,X1,X2,product_unit)) > list(message(X0,X1)) > message(X0,X1) > $o ) ).

thf(func_def_30,type,
    minus_minus: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_31,type,
    one_one: 
      !>[X0: $tType] : X0 ).

thf(func_def_32,type,
    prefixList: 
      !>[X0: $tType] : ( list(X0) > list(X0) > $o ) ).

thf(func_def_33,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

thf(func_def_34,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > nat > X0 ) ).

thf(func_def_35,type,
    suc: nat > nat ).

thf(func_def_36,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_37,type,
    ord_less: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

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

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

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

thf(func_def_41,type,
    occM: nat ).

thf(func_def_42,type,
    occM2: nat ).

thf(func_def_43,type,
    consumedMsg: message(p,v) ).

thf(func_def_44,type,
    fe: nat > list(configuration_ext(p,v,s,product_unit)) ).

thf(func_def_45,type,
    firstOccSet: nat > set(message(p,v)) ).

thf(func_def_46,type,
    ft: nat > list(message(p,v)) ).

thf(func_def_47,type,
    index: nat ).

thf(func_def_48,type,
    msg: message(p,v) ).

thf(func_def_49,type,
    msg2: message(p,v) ).

thf(func_def_50,type,
    msga: message(p,v) ).

thf(func_def_51,type,
    n0: nat ).

thf(func_def_52,type,
    n: nat ).

thf(func_def_53,type,
    p2: p ).

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

thf(func_def_58,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_59,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_60,type,
    sCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_61,type,
    vAND: $o > $o > $o ).

thf(func_def_62,type,
    vNOT: $o > $o ).

thf(func_def_63,type,
    vIMP: $o > $o > $o ).

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

thf(func_def_65,type,
    cCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).

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

thf(func_def_67,type,
    sP0: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_68,type,
    sP1: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_69,type,
    sP2: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_70,type,
    sP3: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_71,type,
    sP4: nat > ( nat > $o ) > $o ).

thf(func_def_72,type,
    sP5: nat > ( nat > $o ) > $o ).

thf(func_def_73,type,
    sP6: ( nat > nat > $o ) > $o ).

thf(func_def_74,type,
    sK7: ( nat > $o ) > nat ).

thf(func_def_75,type,
    sK8: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_76,type,
    sK9: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_77,type,
    sK10: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_78,type,
    sK11: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_79,type,
    sK12: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_80,type,
    sK13: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_81,type,
    sK14: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_82,type,
    sK15: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_83,type,
    sK16: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_84,type,
    sK17: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_85,type,
    sK18: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_86,type,
    sK19: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_87,type,
    sK20: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_88,type,
    sK21: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_89,type,
    sK22: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_90,type,
    sK23: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_91,type,
    sK24: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_92,type,
    sK25: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_93,type,
    sK26: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_94,type,
    sK27: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_95,type,
    sK28: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_96,type,
    sK29: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_97,type,
    sK30: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_98,type,
    sK31: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_99,type,
    sK32: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_100,type,
    sK33: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_101,type,
    sK34: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_102,type,
    sK35: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_103,type,
    sK36: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_104,type,
    sK37: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_105,type,
    sK38: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_106,type,
    sK39: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_107,type,
    sK40: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_108,type,
    sK41: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_109,type,
    sK42: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_110,type,
    sK43: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_111,type,
    sK44: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_112,type,
    sK45: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_113,type,
    sK46: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_114,type,
    sK47: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_115,type,
    sK48: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_116,type,
    sK49: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_117,type,
    sK50: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_118,type,
    sK51: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_119,type,
    sK52: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_120,type,
    sK53: ( nat > $o ) > nat ).

thf(func_def_121,type,
    sK54: ( nat > $o ) > nat ).

thf(func_def_122,type,
    sK55: ( nat > $o ) > nat ).

thf(func_def_123,type,
    sK56: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_124,type,
    sK57: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_125,type,
    sK58: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_126,type,
    sK59: nat > nat > nat ).

thf(func_def_127,type,
    sK60: nat > nat ).

thf(func_def_128,type,
    sK61: nat > nat > nat ).

thf(func_def_129,type,
    sK62: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

thf(func_def_130,type,
    sK63: 
      !>[X0: $tType] : ( list(X0) > list(X0) > nat ) ).

thf(func_def_131,type,
    sK64: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_132,type,
    sK65: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).

thf(func_def_133,type,
    sK66: ( nat > $o ) > ( nat > $o ) > nat > nat ).

thf(func_def_134,type,
    sK67: nat > ( nat > $o ) > nat ).

thf(func_def_135,type,
    sK68: ( nat > $o ) > nat > nat ).

thf(func_def_136,type,
    sK69: ( nat > nat ) > nat ).

thf(func_def_137,type,
    sK70: ( nat > nat ) > nat ).

thf(func_def_138,type,
    sK71: ( nat > $o ) > nat ).

thf(func_def_139,type,
    sK72: nat > ( nat > $o ) > nat ).

thf(func_def_140,type,
    sK73: ( nat > $o ) > nat ).

thf(func_def_141,type,
    sK74: ( nat > nat > $o ) > nat ).

thf(func_def_142,type,
    sK75: ( nat > nat > $o ) > nat ).

thf(func_def_143,type,
    sK76: ( nat > nat > $o ) > nat ).

thf(func_def_144,type,
    sK77: ( nat > nat > $o ) > nat ).

thf(func_def_145,type,
    sK78: ( nat > nat > $o ) > nat ).

thf(func_def_146,type,
    sK79: ( nat > $o ) > nat > nat ).

thf(func_def_147,type,
    sK80: ( nat > $o ) > nat > nat > nat ).

thf(func_def_148,type,
    sK81: ( nat > $o ) > nat > nat > nat ).

thf(func_def_149,type,
    sK82: nat > ( nat > $o ) > nat ).

thf(func_def_150,type,
    sK83: ( nat > $o ) > nat > nat ).

thf(func_def_151,type,
    sK84: ( nat > nat > $o ) > nat ).

thf(func_def_152,type,
    sK85: ( nat > nat > $o ) > nat ).

thf(func_def_153,type,
    sK86: ( nat > nat > $o ) > nat ).

thf(func_def_154,type,
    sK87: ( nat > nat > $o ) > nat ).

thf(func_def_155,type,
    sK88: message(p,v) > nat > nat > nat ).

thf(func_def_156,type,
    sK89: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_157,type,
    sK90: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_158,type,
    sK91: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_159,type,
    sK92: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_160,type,
    sK93: 
      !>[X0: $tType] : ( nat > ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_161,type,
    sK94: p ).

thf(func_def_162,type,
    sK95: p ).

thf(func_def_164,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_165,type,
    sK97: 
      !>[X0: $tType] : ( nat > ( nat > X0 > $o ) > nat ) ).

thf(func_def_166,type,
    sK98: 
      !>[X0: $tType] : ( nat > ( nat > X0 > $o ) > list(X0) ) ).

thf(func_def_167,type,
    sK99: nat > nat > nat ).

thf(func_def_168,type,
    sK100: ( nat > $o ) > nat > nat ).

thf(func_def_169,type,
    sK101: ( nat > $o ) > nat > nat ).

thf(func_def_170,type,
    sK102: ( nat > $o ) > nat > nat ).

thf(func_def_171,type,
    sK103: ( nat > $o ) > nat > nat ).

thf(f668482,plain,
    $false,
    inference(trivial_inequality_removal,[],[f668481]) ).

thf(f668481,plain,
    $true = $false,
    inference(forward_demodulation,[],[f668475,f22389]) ).

thf(f22389,plain,
    $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),occM2),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))),
    inference(subsumption_resolution,[],[f22388,f1311]) ).

thf(f1311,plain,
    occM2 != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat)),
    inference(cnf_transformation,[],[f822]) ).

thf(f822,plain,
    occM2 != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat)),
    inference(flattening,[],[f287]) ).

thf(f287,negated_conjecture,
    occM2 != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat)),
    inference(negated_conjecture,[],[f286]) ).

thf(f286,conjecture,
    occM2 = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f22388,plain,
    ( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),occM2),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))) )
    | ( occM2 = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat)) ) ),
    inference(trivial_inequality_removal,[],[f22337]) ).

thf(f22337,plain,
    ( ( $true = $false )
    | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),occM2),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))) )
    | ( occM2 = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat)) ) ),
    inference(superposition,[],[f1673,f13044]) ).

thf(f13044,plain,
    ! [X0: nat,X1: nat] :
      ( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X1),X0) )
      | ( X0 = X1 ) ),
    inference(trivial_inequality_removal,[],[f12853]) ).

thf(f12853,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true = $false )
      | ( X0 = X1 )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X1),X0) ) ),
    inference(superposition,[],[f2745,f7821]) ).

thf(f7821,plain,
    ! [X0: nat,X1: nat] :
      ( ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X1),X0) )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) ) ),
    inference(trivial_inequality_removal,[],[f7820]) ).

thf(f7820,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != $true )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X1),X0) )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) ) ),
    inference(superposition,[],[f7292,f289]) ).

thf(f289,plain,
    ! [X0: $o] :
      ( ( $true = X0 )
      | ( $false = X0 ) ),
    introduced(fool_axiom,[]) ).

thf(f7292,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X1),X0) )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) ) ),
    inference(trivial_inequality_removal,[],[f7291]) ).

thf(f7291,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != $true )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X1),X0) )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) ) ),
    inference(superposition,[],[f5323,f289]) ).

thf(f5323,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X1),X0) ) ),
    inference(trivial_inequality_removal,[],[f5318]) ).

thf(f5318,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != $true )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X1),X0) ) ),
    inference(superposition,[],[f1427,f1668]) ).

thf(f1668,plain,
    order(nat) = $true,
    inference(cnf_transformation,[],[f795]) ).

thf(f795,plain,
    order(nat) = $true,
    inference(fool_elimination,[],[f794]) ).

thf(f794,plain,
    order(nat),
    inference(rectify,[],[f264]) ).

thf(f264,axiom,
    order(nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_Nat_Onat___Orderings_Oorder_2) ).

thf(f1427,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ( order(X0) != $true )
      | ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less_eq(X0),X1),X2) )
      | ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X2),X1) ) ),
    inference(cnf_transformation,[],[f971]) ).

thf(f971,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X2),X1) )
          | ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less_eq(X0),X1),X2) ) )
      | ( order(X0) != $true ) ),
    inference(ennf_transformation,[],[f841]) ).

thf(f841,plain,
    ! [X0: $tType] :
      ( ( order(X0) = $true )
     => ! [X1: X0,X2: X0] :
          ( ( $true = vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less_eq(X0),X1),X2) )
         => ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X2),X1) ) ) ),
    inference(flattening,[],[f459]) ).

thf(f459,plain,
    ! [X0: $tType] :
      ( ( order(X0) = $true )
     => ! [X1: X0,X2: X0] :
          ( ( $true = vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less_eq(X0),X1),X2) )
         => ( $true != vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X2),X1) ) ) ),
    inference(fool_elimination,[],[f458]) ).

thf(f458,plain,
    ! [X0: $tType] :
      ( order(X0)
     => ! [X1: X0,X2: X0] :
          ( vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less_eq(X0),X1),X2)
         => ~ vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X2),X1) ) ),
    inference(rectify,[],[f237]) ).

thf(f237,axiom,
    ! [X0: $tType] :
      ( order(X0)
     => ! [X16: X0,X15: X0] :
          ( vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less_eq(X0),X16),X15)
         => ~ vAPP(X0,$o,vAPP(X0,sTfun(X0,$o),ord_less(X0),X15),X16) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_leD) ).

thf(f2745,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) )
      | ( X0 = X1 )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) ) ),
    inference(trivial_inequality_removal,[],[f2744]) ).

thf(f2744,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != $true )
      | ( X0 = X1 )
      | ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) )
      | ( $false = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) ) ),
    inference(superposition,[],[f1540,f289]) ).

thf(f1540,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) )
      | ( X0 = X1 )
      | ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) ) ),
    inference(cnf_transformation,[],[f1065]) ).

thf(f1065,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) )
      | ( X0 = X1 )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) ) ),
    inference(flattening,[],[f1064]) ).

thf(f1064,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) )
      | ( X0 = X1 )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) ) ),
    inference(ennf_transformation,[],[f635]) ).

thf(f635,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) )
     => ( ( X0 != X1 )
       => ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) ) ) ),
    inference(fool_elimination,[],[f634]) ).

thf(f634,plain,
    ! [X0: nat,X1: nat] :
      ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1)
     => ( ( X0 != X1 )
       => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) ) ),
    inference(rectify,[],[f84]) ).

thf(f84,axiom,
    ! [X25: nat,X11: nat] :
      ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X25),X11)
     => ( ( X11 != X25 )
       => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X25),X11) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_le__neq__implies__less) ).

thf(f1673,plain,
    vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))),occM2) = $true,
    inference(cnf_transformation,[],[f805]) ).

thf(f805,plain,
    vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))),occM2) = $true,
    inference(fool_elimination,[],[f804]) ).

thf(f804,plain,
    vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))),occM2),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))),occM2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062length_A_Ife_Aindex_J_A_N_A1_A_092_060le_062_AOccM_092_060close_062) ).

thf(f668475,plain,
    $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),occM2),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))),
    inference(trivial_inequality_removal,[],[f668406]) ).

thf(f668406,plain,
    ( ( $true != $true )
    | ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),occM2),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),one_one(nat))) ) ),
    inference(superposition,[],[f21673,f572074]) ).

thf(f572074,plain,
    $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,suc,occM2)),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),
    inference(trivial_inequality_removal,[],[f572017]) ).

thf(f572017,plain,
    ( ( $true != $true )
    | ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,suc,occM2)),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))) ) ),
    inference(superposition,[],[f1552,f1672]) ).

thf(f1672,plain,
    vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),occM2),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))) = $true,
    inference(cnf_transformation,[],[f803]) ).

thf(f803,plain,
    vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),occM2),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))) = $true,
    inference(fool_elimination,[],[f802]) ).

thf(f802,plain,
    vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),occM2),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),occM2),vAPP(list(configuration_ext(p,v,s,product_unit)),nat,size_size(list(configuration_ext(p,v,s,product_unit))),vAPP(nat,list(configuration_ext(p,v,s,product_unit)),fe,index))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_AssumpOccMFirstOccurrence_I3_J) ).

thf(f1552,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) )
      | ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,suc,X0)),X1) ) ),
    inference(cnf_transformation,[],[f1079]) ).

thf(f1079,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,suc,X0)),X1) )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) ) ),
    inference(ennf_transformation,[],[f657]) ).

thf(f657,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1) )
     => ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,suc,X0)),X1) ) ),
    inference(fool_elimination,[],[f656]) ).

thf(f656,plain,
    ! [X0: nat,X1: nat] :
      ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X0),X1)
     => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,suc,X0)),X1) ),
    inference(rectify,[],[f28]) ).

thf(f28,axiom,
    ! [X25: nat,X11: nat] :
      ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less(nat),X25),X11)
     => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,suc,X25)),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_Suc__leI) ).

thf(f21673,plain,
    ! [X0: nat,X1: nat] :
      ( ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,suc,X0)),X1) )
      | ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X1),one_one(nat))) ) ),
    inference(superposition,[],[f1614,f1321]) ).

thf(f1321,plain,
    ! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(nat,nat,suc,X0)),one_one(nat)) = X0 ),
    inference(cnf_transformation,[],[f825]) ).

thf(f825,plain,
    ! [X0: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(nat,nat,suc,X0)),one_one(nat)) = X0 ),
    inference(rectify,[],[f25]) ).

thf(f25,axiom,
    ! [X11: nat] : ( vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),vAPP(nat,nat,suc,X11)),one_one(nat)) = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_diff__Suc__1) ).

thf(f1614,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X1),X2)) )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) ) ),
    inference(cnf_transformation,[],[f1127]) ).

thf(f1127,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X1),X2)) )
      | ( $true != vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) ) ),
    inference(ennf_transformation,[],[f721]) ).

thf(f721,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1) )
     => ( $true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X1),X2)) ) ),
    inference(fool_elimination,[],[f720]) ).

thf(f720,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X0),X1)
     => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X0),X2)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X1),X2)) ),
    inference(rectify,[],[f116]) ).

thf(f116,axiom,
    ! [X25: nat,X11: nat,X52: nat] :
      ( vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),X25),X11)
     => vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X25),X52)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus(nat),X11),X52)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_diff__le__mono) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ITP061^2 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 17:28:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (3473)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (3476)WARNING: value z3 for option sas not known
% 0.13/0.38  % (3475)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38  % (3474)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38  % (3477)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  % (3476)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)
% 0.13/0.38  % (3478)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)
% 0.13/0.38  % (3479)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)
% 0.13/0.38  % (3480)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)
% 0.20/0.41  % (3480)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.42  % Exception at run slice level
% 0.20/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42  % Exception at run slice level
% 0.20/0.42  % Exception at run slice level
% 0.20/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.44  % (3483)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)
% 0.20/0.44  % (3481)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.44  % (3482)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)
% 0.20/0.47  % (3482)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.48  % (3481)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.48  % Exception at run slice level
% 0.20/0.48  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.49  % (3484)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)
% 249.66/35.98  % (3484)Time limit reached!
% 249.66/35.98  % (3484)------------------------------
% 249.66/35.98  % (3484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 249.66/35.98  % (3484)Termination reason: Time limit
% 249.66/35.98  % (3484)Termination phase: Saturation
% 249.66/35.98  
% 249.66/35.98  % (3484)Memory used [KB]: 74736
% 249.66/35.98  % (3484)Time elapsed: 35.500 s
% 249.66/35.98  % (3484)Instructions burned: 140059 (million)
% 249.66/35.98  % (3484)------------------------------
% 249.66/35.98  % (3484)------------------------------
% 249.80/36.00  % (3485)WARNING: value z3 for option sas not known
% 249.80/36.00  % (3485)ott-11_10:1_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:fsd=off:fde=none:gsp=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sas=z3:sp=occurrence_186 on theBenchmark for (186ds/0Mi)
% 249.80/36.01  % (3485)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 254.19/36.65  % (3483)First to succeed.
% 254.19/36.66  % (3483)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3473"
% 254.19/36.67  % (3483)Refutation found. Thanks to Tanya!
% 254.19/36.67  % SZS status Theorem for theBenchmark
% 254.19/36.67  % SZS output start Proof for theBenchmark
% See solution above
% 254.19/36.67  % (3483)------------------------------
% 254.19/36.67  % (3483)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 254.19/36.67  % (3483)Termination reason: Refutation
% 254.19/36.67  
% 254.19/36.67  % (3483)Memory used [KB]: 111282
% 254.19/36.67  % (3483)Time elapsed: 36.221 s
% 254.19/36.67  % (3483)Instructions burned: 128502 (million)
% 254.19/36.67  % (3473)Success in time 36.323 s
%------------------------------------------------------------------------------