TSTP Solution File: DAT133^1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : DAT133^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 19:51:35 EDT 2024

% Result   : Theorem 48.50s 7.32s
% Output   : Refutation 48.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :  146
% Syntax   : Number of formulae    :  180 (  31 unt; 138 typ;   0 def)
%            Number of atoms       :  878 (  44 equ;   0 cnn)
%            Maximal formula atoms :    3 (  20 avg)
%            Number of connectives :   42 (  30   ~;   8   |;   0   &;   0   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :  332 ( 331   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :  144 ( 141 usr;   7 con; 0-6 aty)
%            Number of variables   :  185 (  24   ^  35   !;   2   ?; 185   :)
%                                         ( 124  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(type_def_7,type,
    nat: $tType ).

thf(type_def_8,type,
    coindu1593790203_llist: $tType > $tType ).

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

thf(type_def_10,type,
    set: $tType > $tType ).

thf(type_def_11,type,
    a: $tType ).

thf(func_def_0,type,
    coindu1593790203_llist: $tType > $tType ).

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

thf(func_def_2,type,
    set: $tType > $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_18,type,
    ordere779506340up_add: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_19,type,
    ordere236663937imp_le: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_20,type,
    ordere223160158up_add: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_21,type,
    strict2144017051up_add: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_22,type,
    coindu493225792length: 
      !>[X0: $tType] : ( nat > coindu1593790203_llist(X0) > extended_enat ) ).

thf(func_def_23,type,
    coindu191418589_ldrop: 
      !>[X0: $tType] : ( extended_enat > coindu1593790203_llist(X0) > coindu1593790203_llist(X0) ) ).

thf(func_def_24,type,
    coindu438612276pWhile: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > coindu1593790203_llist(X0) ) ).

thf(func_def_25,type,
    coindu531130065ldropn: 
      !>[X0: $tType] : ( nat > coindu1593790203_llist(X0) > coindu1593790203_llist(X0) ) ).

thf(func_def_26,type,
    coindu1889960678filter: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > coindu1593790203_llist(X0) ) ).

thf(func_def_27,type,
    coindu1213758845finite: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > $o ) ).

thf(func_def_28,type,
    coindu2000965700_llast: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_29,type,
    coindu1018505716length: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > extended_enat ) ).

thf(func_def_30,type,
    coindu1046438764le_lhd: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_31,type,
    coindu335574135_lnull: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > $o ) ).

thf(func_def_32,type,
    coindu1112613586e_lset: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > set(X0) ) ).

thf(func_def_33,type,
    coindu1047225960le_ltl: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > coindu1593790203_llist(X0) ) ).

thf(func_def_34,type,
    coindu749330388e_lnth: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > nat > X0 ) ).

thf(func_def_35,type,
    coindu721411036eWhile: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > coindu1593790203_llist(X0) ) ).

thf(func_def_36,type,
    coindu1491768222unfold: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > X0 ) > X0 > extended_enat ) ).

thf(func_def_37,type,
    extended_enat2: nat > extended_enat ).

thf(func_def_38,type,
    extended_rec_enat: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 > extended_enat > X0 ) ).

thf(func_def_39,type,
    extended_the_enat: extended_enat > nat ).

thf(func_def_40,type,
    finite_finite2: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_41,type,
    one_one: 
      !>[X0: $tType] : X0 ).

thf(func_def_42,type,
    plus_plus: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_43,type,
    inf_inf: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_44,type,
    ord_less: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_45,type,
    ord_less_eq: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_46,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

thf(func_def_47,type,
    collect: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).

thf(func_def_48,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > set(X1) ) ).

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

thf(func_def_50,type,
    p: a > $o ).

thf(func_def_51,type,
    n: nat ).

thf(func_def_52,type,
    xs: coindu1593790203_llist(a) ).

thf(func_def_53,type,
    xsa: coindu1593790203_llist(a) ).

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

thf(func_def_58,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

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

thf(func_def_60,type,
    vIMP: $o > $o > $o ).

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

thf(func_def_62,type,
    sCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

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

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

thf(func_def_65,type,
    vAND: $o > $o > $o ).

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

thf(func_def_67,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_68,type,
    vOR: $o > $o > $o ).

thf(func_def_69,type,
    sP0: 
      !>[X0: $tType] : ( ( coindu1593790203_llist(X0) > $o ) > $o ) ).

thf(func_def_70,type,
    sP1: 
      !>[X0: $tType] : ( ( coindu1593790203_llist(X0) > coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) > coindu1593790203_llist(X0) > $o ) ).

thf(func_def_71,type,
    sP2: 
      !>[X0: $tType] : ( ( X0 > coindu1593790203_llist(X0) > $o ) > $o ) ).

thf(func_def_72,type,
    sK3: nat ).

thf(func_def_73,type,
    sK4: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_74,type,
    sK5: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_75,type,
    sK6: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_76,type,
    sK7: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_77,type,
    sK8: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_78,type,
    sK9: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_79,type,
    sK10: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_80,type,
    sK11: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_81,type,
    sK12: ( nat > $o ) > nat ).

thf(func_def_82,type,
    sK13: ( extended_enat > $o ) > extended_enat ).

thf(func_def_83,type,
    sK14: ( nat > $o ) > nat ).

thf(func_def_84,type,
    sK15: set(nat) > nat > nat ).

thf(func_def_85,type,
    sK16: nat > set(nat) > nat ).

thf(func_def_86,type,
    sK17: extended_enat > extended_enat > nat ).

thf(func_def_87,type,
    sK18: 
      !>[X0: $tType] : ( coindu1593790203_llist(X0) > nat ) ).

thf(func_def_88,type,
    sK19: nat > extended_enat > nat ).

thf(func_def_89,type,
    sK20: extended_enat > nat ).

thf(func_def_90,type,
    sK21: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_91,type,
    sK22: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_92,type,
    sK23: 
      !>[X0: $tType] : ( nat > ( X0 > extended_enat ) > X0 ) ).

thf(func_def_93,type,
    sK24: 
      !>[X0: $tType] : ( ( X0 > extended_enat ) > X0 ) ).

thf(func_def_94,type,
    sK25: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_95,type,
    sK26: 
      !>[X0: $tType] : ( ( coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) ) ).

thf(func_def_96,type,
    sK27: 
      !>[X0: $tType] : ( ( coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) ) ).

thf(func_def_97,type,
    sK28: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_98,type,
    sK29: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_99,type,
    sK30: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_100,type,
    sK31: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > X0 ) ).

thf(func_def_101,type,
    sK32: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > X0 ) ).

thf(func_def_102,type,
    sK33: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > set(X1) > X1 > X0 ) ).

thf(func_def_103,type,
    sK34: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > set(X1) > X1 ) ).

thf(func_def_104,type,
    sK35: 
      !>[X0: $tType] : ( ( coindu1593790203_llist(X0) > coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) ) ).

thf(func_def_105,type,
    sK36: 
      !>[X0: $tType] : ( ( coindu1593790203_llist(X0) > coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) ) ).

thf(func_def_106,type,
    sK37: 
      !>[X0: $tType] : ( ( coindu1593790203_llist(X0) > coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) ) ).

thf(func_def_107,type,
    sK38: 
      !>[X0: $tType] : ( ( coindu1593790203_llist(X0) > coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) ) ).

thf(func_def_108,type,
    sK39: 
      !>[X0: $tType] : ( ( X0 > coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) ) ).

thf(func_def_109,type,
    sK40: 
      !>[X0: $tType] : ( ( X0 > coindu1593790203_llist(X0) > $o ) > X0 ) ).

thf(func_def_110,type,
    sK41: 
      !>[X0: $tType] : ( ( X0 > coindu1593790203_llist(X0) > $o ) > coindu1593790203_llist(X0) ) ).

thf(func_def_111,type,
    sK42: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_112,type,
    sK43: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_113,type,
    sK44: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_114,type,
    sK45: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > set(X0) > set(X1) > X0 ) ).

thf(func_def_115,type,
    sK46: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > set(X0) > set(X1) > X1 ) ).

thf(func_def_116,type,
    sK47: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > set(X1) > ( X1 > X0 ) > X0 ) ).

thf(func_def_117,type,
    sK48: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_118,type,
    sK49: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X0 > X1 ) ).

thf(func_def_119,type,
    sK50: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_120,type,
    sK51: 
      !>[X0: $tType] : ( ( ( nat > X0 > X0 ) > nat > nat > X0 > $o ) > nat > X0 > X0 ) ).

thf(func_def_121,type,
    sK52: 
      !>[X0: $tType] : ( ( ( nat > X0 > X0 ) > nat > nat > X0 > $o ) > nat ) ).

thf(func_def_122,type,
    sK53: 
      !>[X0: $tType] : ( ( ( nat > X0 > X0 ) > nat > nat > X0 > $o ) > nat ) ).

thf(func_def_123,type,
    sK54: 
      !>[X0: $tType] : ( ( ( nat > X0 > X0 ) > nat > nat > X0 > $o ) > X0 ) ).

thf(func_def_124,type,
    sK55: a ).

thf(func_def_126,type,
    sK57: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X0 > X1 ) ).

thf(func_def_127,type,
    sK58: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > ( X1 > $o ) > X1 ) ).

thf(func_def_128,type,
    sK59: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_129,type,
    sK60: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_130,type,
    sK61: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_131,type,
    sK62: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_132,type,
    sK63: 
      !>[X0: $tType] : ( ( X0 > $o ) > coindu1593790203_llist(X0) > X0 ) ).

thf(func_def_133,type,
    sK64: 
      !>[X0: $tType] : ( X0 > coindu1593790203_llist(X0) > nat ) ).

thf(func_def_134,type,
    sK65: set(nat) > nat ).

thf(f96220,plain,
    $false,
    inference(trivial_inequality_removal,[],[f96219]) ).

thf(f96219,plain,
    $true = $false,
    inference(backward_demodulation,[],[f1517,f96216]) ).

thf(f96216,plain,
    $false = vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa))))))),
    inference(trivial_inequality_removal,[],[f96179]) ).

thf(f96179,plain,
    ( ( $true = $false )
    | ( $false = vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa))))))) ) ),
    inference(superposition,[],[f9957,f5703]) ).

thf(f5703,plain,
    ! [X0: $tType,X2: $tType,X3: X0 > X2,X1: set(X0)] :
      ( ( $true = vAPP(set(X2),$o,finite_finite2(X2),vAPP(set(X0),set(X2),vAPP(sTfun(X0,X2),sTfun(set(X0),set(X2)),image(X0,X2),X3),X1)) )
      | ( $false = vAPP(set(X0),$o,finite_finite2(X0),X1) ) ),
    inference(trivial_inequality_removal,[],[f5702]) ).

thf(f5702,plain,
    ! [X0: $tType,X2: $tType,X3: X0 > X2,X1: set(X0)] :
      ( ( $true != $true )
      | ( $true = vAPP(set(X2),$o,finite_finite2(X2),vAPP(set(X0),set(X2),vAPP(sTfun(X0,X2),sTfun(set(X0),set(X2)),image(X0,X2),X3),X1)) )
      | ( $false = vAPP(set(X0),$o,finite_finite2(X0),X1) ) ),
    inference(superposition,[],[f1425,f284]) ).

thf(f284,plain,
    ! [X0: $o] :
      ( ( $true = X0 )
      | ( $false = X0 ) ),
    introduced(fool_axiom,[]) ).

thf(f1425,plain,
    ! [X1: $tType,X0: $tType,X2: set(X1),X3: X1 > X0] :
      ( ( $true != vAPP(set(X1),$o,finite_finite2(X1),X2) )
      | ( $true = vAPP(set(X0),$o,finite_finite2(X0),vAPP(set(X1),set(X0),vAPP(sTfun(X1,X0),sTfun(set(X1),set(X0)),image(X1,X0),X3),X2)) ) ),
    inference(cnf_transformation,[],[f1025]) ).

thf(f1025,plain,
    ! [X0: $tType,X1: $tType,X2: set(X1),X3: X1 > X0] :
      ( ( $true = vAPP(set(X0),$o,finite_finite2(X0),vAPP(set(X1),set(X0),vAPP(sTfun(X1,X0),sTfun(set(X1),set(X0)),image(X1,X0),X3),X2)) )
      | ( $true != vAPP(set(X1),$o,finite_finite2(X1),X2) ) ),
    inference(ennf_transformation,[],[f668]) ).

thf(f668,plain,
    ! [X0: $tType,X1: $tType,X2: set(X1),X3: X1 > X0] :
      ( ( $true = vAPP(set(X1),$o,finite_finite2(X1),X2) )
     => ( $true = vAPP(set(X0),$o,finite_finite2(X0),vAPP(set(X1),set(X0),vAPP(sTfun(X1,X0),sTfun(set(X1),set(X0)),image(X1,X0),X3),X2)) ) ),
    inference(fool_elimination,[],[f667]) ).

thf(f667,plain,
    ! [X0: $tType,X1: $tType,X2: set(X1),X3: X1 > X0] :
      ( vAPP(set(X1),$o,finite_finite2(X1),X2)
     => vAPP(set(X0),$o,finite_finite2(X0),vAPP(set(X1),set(X0),vAPP(sTfun(X1,X0),sTfun(set(X1),set(X0)),image(X1,X0),X3),X2)) ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ! [X2: $tType,X0: $tType,X5: set(X0),X7: X0 > X2] :
      ( vAPP(set(X0),$o,finite_finite2(X0),X5)
     => vAPP(set(X2),$o,finite_finite2(X2),vAPP(set(X0),set(X2),vAPP(sTfun(X0,X2),sTfun(set(X0),set(X2)),image(X0,X2),X7),X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_finite__imageI) ).

thf(f9957,plain,
    $false = vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),sK3),one_one(nat)))),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))))),
    inference(trivial_inequality_removal,[],[f9956]) ).

thf(f9956,plain,
    ( ( $true != $true )
    | ( $false = vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),sK3),one_one(nat)))),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))))) ) ),
    inference(superposition,[],[f1820,f284]) ).

thf(f1820,plain,
    $true != vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),sK3),one_one(nat)))),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))))),
    inference(backward_demodulation,[],[f1177,f1819]) ).

thf(f1819,plain,
    n = sK3,
    inference(forward_demodulation,[],[f1818,f1185]) ).

thf(f1185,plain,
    ! [X0: nat] : ( vAPP(extended_enat,nat,extended_the_enat,vAPP(nat,extended_enat,extended_enat2,X0)) = X0 ),
    inference(cnf_transformation,[],[f801]) ).

thf(f801,plain,
    ! [X0: nat] : ( vAPP(extended_enat,nat,extended_the_enat,vAPP(nat,extended_enat,extended_enat2,X0)) = X0 ),
    inference(rectify,[],[f191]) ).

thf(f191,axiom,
    ! [X27: nat] : ( vAPP(extended_enat,nat,extended_the_enat,vAPP(nat,extended_enat,extended_enat2,X27)) = X27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_the__enat_Osimps) ).

thf(f1818,plain,
    n = vAPP(extended_enat,nat,extended_the_enat,vAPP(nat,extended_enat,extended_enat2,sK3)),
    inference(superposition,[],[f1185,f1762]) ).

thf(f1762,plain,
    vAPP(nat,extended_enat,extended_enat2,n) = vAPP(nat,extended_enat,extended_enat2,sK3),
    inference(backward_demodulation,[],[f1180,f1181]) ).

thf(f1181,plain,
    vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)) = vAPP(nat,extended_enat,extended_enat2,sK3),
    inference(cnf_transformation,[],[f1085]) ).

thf(f1085,plain,
    vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)) = vAPP(nat,extended_enat,extended_enat2,sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f863,f1084]) ).

thf(f1084,plain,
    ( ? [X0: nat] : ( vAPP(nat,extended_enat,extended_enat2,X0) = vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)) )
   => ( vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)) = vAPP(nat,extended_enat,extended_enat2,sK3) ) ),
    introduced(choice_axiom,[]) ).

thf(f863,plain,
    ? [X0: nat] : ( vAPP(nat,extended_enat,extended_enat2,X0) = vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)) ),
    inference(ennf_transformation,[],[f292]) ).

thf(f292,plain,
    ~ ! [X0: nat] : ( vAPP(nat,extended_enat,extended_enat2,X0) != vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)) ),
    inference(fool_elimination,[],[f291]) ).

thf(f291,plain,
    ~ ! [X0: nat] :
        ( vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
            vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
              vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),
                ^ [X1: a] : ~ vAPP(a,$o,p,X1)),
              xsa)) != vAPP(nat,extended_enat,extended_enat2,X0) ),
    inference(rectify,[],[f8]) ).

thf(f8,axiom,
    ~ ! [X11: nat] :
        ( vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
            vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
              vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),
                ^ [X4: a] : ~ vAPP(a,$o,p,X4)),
              xsa)) != vAPP(nat,extended_enat,extended_enat2,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062n_O_Allength_A_IltakeWhile_A_I_092_060lambda_062x_O_A_092_060not_062_AP_Ax_J_Axs_J_A_061_Aenat_An_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).

thf(f1180,plain,
    vAPP(nat,extended_enat,extended_enat2,n) = vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)),
    inference(cnf_transformation,[],[f290]) ).

thf(f290,plain,
    vAPP(nat,extended_enat,extended_enat2,n) = vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)),
    inference(fool_elimination,[],[f289]) ).

thf(f289,plain,
    ( vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
        vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
          vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),
            ^ [X0: a] : ~ vAPP(a,$o,p,X0)),
          xsa)) = vAPP(nat,extended_enat,extended_enat2,n) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ( vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
        vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
          vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu721411036eWhile(a),
            ^ [X4: a] : ~ vAPP(a,$o,p,X4)),
          xsa)) = vAPP(nat,extended_enat,extended_enat2,n) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_n) ).

thf(f1177,plain,
    $true != vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),n),one_one(nat)))),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))))),
    inference(cnf_transformation,[],[f797]) ).

thf(f797,plain,
    $true != vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),n),one_one(nat)))),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))))),
    inference(flattening,[],[f286]) ).

thf(f286,plain,
    $true != vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),n),one_one(nat)))),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))))),
    inference(fool_elimination,[],[f285]) ).

thf(f285,plain,
    ~ vAPP(set(nat),$o,finite_finite2(nat),
        vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),n),one_one(nat)))),
          vAPP(set(nat),set(nat),
            vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),
              vAPP(sTfun(nat,$o),set(nat),collect(nat),
                ^ [X0: nat] :
                  vAPP(extended_enat,$o,vAPP(extended_enat,sTfun(extended_enat,$o),ord_less(extended_enat),vAPP(nat,extended_enat,extended_enat2,X0)),
                    vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
                      vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                        vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                          vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                            ^ [X1: a] : ~ vAPP(a,$o,p,X1)),
                          xsa)))))),
            vAPP(sTfun(nat,$o),set(nat),collect(nat),
              ^ [X2: nat] :
                vAPP(a,$o,p,
                  vAPP(nat,a,
                    vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),
                      vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                        vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                          vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                            ^ [X3: a] : ~ vAPP(a,$o,p,X3)),
                          xsa))),
                    X2)))))),
    inference(rectify,[],[f282]) ).

thf(f282,negated_conjecture,
    ~ vAPP(set(nat),$o,finite_finite2(nat),
        vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),n),one_one(nat)))),
          vAPP(set(nat),set(nat),
            vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),
              vAPP(sTfun(nat,$o),set(nat),collect(nat),
                ^ [X3: nat] :
                  vAPP(extended_enat,$o,vAPP(extended_enat,sTfun(extended_enat,$o),ord_less(extended_enat),vAPP(nat,extended_enat,extended_enat2,X3)),
                    vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
                      vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                        vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                          vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                            ^ [X4: a] : ~ vAPP(a,$o,p,X4)),
                          xsa)))))),
            vAPP(sTfun(nat,$o),set(nat),collect(nat),
              ^ [X3: nat] :
                vAPP(a,$o,p,
                  vAPP(nat,a,
                    vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),
                      vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                        vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                          vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                            ^ [X4: a] : ~ vAPP(a,$o,p,X4)),
                          xsa))),
                    X3)))))),
    inference(negated_conjecture,[],[f281]) ).

thf(f281,conjecture,
    vAPP(set(nat),$o,finite_finite2(nat),
      vAPP(set(nat),set(nat),vAPP(sTfun(nat,nat),sTfun(set(nat),set(nat)),image(nat,nat),vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),n),one_one(nat)))),
        vAPP(set(nat),set(nat),
          vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),
            vAPP(sTfun(nat,$o),set(nat),collect(nat),
              ^ [X3: nat] :
                vAPP(extended_enat,$o,vAPP(extended_enat,sTfun(extended_enat,$o),ord_less(extended_enat),vAPP(nat,extended_enat,extended_enat2,X3)),
                  vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
                    vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                      vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                        vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                          ^ [X4: a] : ~ vAPP(a,$o,p,X4)),
                        xsa)))))),
          vAPP(sTfun(nat,$o),set(nat),collect(nat),
            ^ [X3: nat] :
              vAPP(a,$o,p,
                vAPP(nat,a,
                  vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),
                    vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                      vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                        vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                          ^ [X4: a] : ~ vAPP(a,$o,p,X4)),
                        xsa))),
                  X3)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f1517,plain,
    $true = vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa))))))),
    inference(cnf_transformation,[],[f796]) ).

thf(f796,plain,
    $true = vAPP(set(nat),$o,finite_finite2(nat),vAPP(set(nat),set(nat),vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(extended_enat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(extended_enat,$o)),sTfun(extended_enat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o)),vAPP(sTfun(extended_enat,sTfun(extended_enat,$o)),sTfun(sTfun(nat,extended_enat),sTfun(nat,sTfun(extended_enat,$o))),bCOMB,ord_less(extended_enat)),extended_enat2)),vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa)))))),vAPP(sTfun(nat,$o),set(nat),collect(nat),vAPP(sTfun(nat,a),sTfun(nat,$o),vAPP(sTfun(a,$o),sTfun(sTfun(nat,a),sTfun(nat,$o)),bCOMB,p),vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun($o,$o),sTfun(sTfun(a,$o),sTfun(a,$o)),bCOMB,vNOT),p)),xsa))))))),
    inference(fool_elimination,[],[f795]) ).

thf(f795,plain,
    vAPP(set(nat),$o,finite_finite2(nat),
      vAPP(set(nat),set(nat),
        vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),
          vAPP(sTfun(nat,$o),set(nat),collect(nat),
            ^ [X0: nat] :
              vAPP(extended_enat,$o,vAPP(extended_enat,sTfun(extended_enat,$o),ord_less(extended_enat),vAPP(nat,extended_enat,extended_enat2,X0)),
                vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
                  vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                    vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                      vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                        ^ [X1: a] : ~ vAPP(a,$o,p,X1)),
                      xsa)))))),
        vAPP(sTfun(nat,$o),set(nat),collect(nat),
          ^ [X2: nat] :
            vAPP(a,$o,p,
              vAPP(nat,a,
                vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),
                  vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                    vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                      vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                        ^ [X3: a] : ~ vAPP(a,$o,p,X3)),
                      xsa))),
                X2))))),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    vAPP(set(nat),$o,finite_finite2(nat),
      vAPP(set(nat),set(nat),
        vAPP(set(nat),sTfun(set(nat),set(nat)),inf_inf(set(nat)),
          vAPP(sTfun(nat,$o),set(nat),collect(nat),
            ^ [X3: nat] :
              vAPP(extended_enat,$o,vAPP(extended_enat,sTfun(extended_enat,$o),ord_less(extended_enat),vAPP(nat,extended_enat,extended_enat2,X3)),
                vAPP(coindu1593790203_llist(a),extended_enat,coindu1018505716length(a),
                  vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                    vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                      vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                        ^ [X4: a] : ~ vAPP(a,$o,p,X4)),
                      xsa)))))),
        vAPP(sTfun(nat,$o),set(nat),collect(nat),
          ^ [X3: nat] :
            vAPP(a,$o,p,
              vAPP(nat,a,
                vAPP(coindu1593790203_llist(a),sTfun(nat,a),coindu749330388e_lnth(a),
                  vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),coindu1047225960le_ltl(a),
                    vAPP(coindu1593790203_llist(a),coindu1593790203_llist(a),
                      vAPP(sTfun(a,$o),sTfun(coindu1593790203_llist(a),coindu1593790203_llist(a)),coindu438612276pWhile(a),
                        ^ [X4: a] : ~ vAPP(a,$o,p,X4)),
                      xsa))),
                X3))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062finite_A_I_123n_O_Aenat_An_A_060_Allength_A_Iltl_A_IldropWhile_A_I_092_060lambda_062x_O_A_092_060not_062_AP_Ax_J_Axs_J_J_125_A_092_060inter_062_A_123n_O_AP_A_Ilnth_A_Iltl_A_IldropWhile_A_I_092_060lambda_062x_O_A_092_060not_062_AP_Ax_J_Axs_J_J_An_J_125_J_092_060close_062) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT133^1 : TPTP v8.2.0. Released v7.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 23:17:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (23485)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (23486)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39  % (23489)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39  % (23490)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)
% 0.21/0.39  % (23492)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)
% 0.21/0.39  % (23491)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)
% 0.21/0.39  % (23487)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  % (23488)WARNING: value z3 for option sas not known
% 0.21/0.40  % (23488)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)
% 0.21/0.42  % (23492)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.43  % Exception at run slice level
% 0.21/0.43  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.44  % Exception at run slice level
% 0.21/0.44  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.44  % (23493)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.44  % Exception at run slice level
% 0.21/0.44  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.46  % (23494)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)
% 0.21/0.46  % (23495)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)
% 0.21/0.48  % (23493)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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
% 0.21/0.50  % (23494)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.51  % (23496)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)
% 47.65/7.19  % (23495)First to succeed.
% 48.29/7.28  % (23495)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23485"
% 48.50/7.32  % (23495)Refutation found. Thanks to Tanya!
% 48.50/7.32  % SZS status Theorem for theBenchmark
% 48.50/7.32  % SZS output start Proof for theBenchmark
% See solution above
% 48.50/7.32  % (23495)------------------------------
% 48.50/7.32  % (23495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 48.50/7.32  % (23495)Termination reason: Refutation
% 48.50/7.32  
% 48.50/7.32  % (23495)Memory used [KB]: 108317
% 48.50/7.32  % (23495)Time elapsed: 6.816 s
% 48.50/7.32  % (23495)Instructions burned: 24496 (million)
% 48.50/7.32  % (23485)Success in time 6.937 s
%------------------------------------------------------------------------------