↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU604^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:32:38 AM UTC 2026

% Result   : Theorem 157.89s 22.55s
% Output   : Refutation 157.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  110 (  48 unt;   0 typ;   6 def)
%            Number of atoms       : 2564 ( 686 equ;   0 cnn)
%            Maximal formula atoms :  122 (  23 avg)
%            Number of connectives : 1792 (  70   ~;  81   |; 363   &; 644   @)
%                                         (   0 <=>; 550  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  127 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  739 ( 735 usr; 251 con; 0-4 aty)
%                                         (  84  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  222 (  96   ^; 122   !;   4   ?; 222   :)

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

thf(func_def_0,type,
    in: $i > $i > $o ).

thf(func_def_1,type,
    exu: ( $i > $o ) > $o ).

thf(func_def_3,type,
    setextAx: $o ).

thf(func_def_5,type,
    emptysetAx: $o ).

thf(func_def_6,type,
    setadjoin: $i > $i > $i ).

thf(func_def_7,type,
    setadjoinAx: $o ).

thf(func_def_8,type,
    powerset: $i > $i ).

thf(func_def_9,type,
    powersetAx: $o ).

thf(func_def_10,type,
    setunion: $i > $i ).

thf(func_def_11,type,
    setunionAx: $o ).

thf(func_def_13,type,
    omega0Ax: $o ).

thf(func_def_14,type,
    omegaSAx: $o ).

thf(func_def_15,type,
    omegaIndAx: $o ).

thf(func_def_16,type,
    replAx: $o ).

thf(func_def_17,type,
    foundationAx: $o ).

thf(func_def_18,type,
    wellorderingAx: $o ).

thf(func_def_19,type,
    descr: ( $i > $o ) > $i ).

thf(func_def_20,type,
    descrp: $o ).

thf(func_def_21,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(func_def_22,type,
    dsetconstrI: $o ).

thf(func_def_23,type,
    dsetconstrEL: $o ).

thf(func_def_24,type,
    dsetconstrER: $o ).

thf(func_def_25,type,
    exuE1: $o ).

thf(func_def_26,type,
    prop2set: $o > $i ).

thf(func_def_27,type,
    prop2setE: $o ).

thf(func_def_28,type,
    emptysetE: $o ).

thf(func_def_29,type,
    emptysetimpfalse: $o ).

thf(func_def_30,type,
    notinemptyset: $o ).

thf(func_def_31,type,
    exuE3e: $o ).

thf(func_def_32,type,
    setext: $o ).

thf(func_def_33,type,
    emptyI: $o ).

thf(func_def_34,type,
    noeltsimpempty: $o ).

thf(func_def_35,type,
    setbeta: $o ).

thf(func_def_36,type,
    nonempty: $i > $o ).

thf(func_def_37,type,
    nonemptyE1: $o ).

thf(func_def_38,type,
    nonemptyI: $o ).

thf(func_def_39,type,
    nonemptyI1: $o ).

thf(func_def_40,type,
    setadjoinIL: $o ).

thf(func_def_41,type,
    emptyinunitempty: $o ).

thf(func_def_42,type,
    setadjoinIR: $o ).

thf(func_def_43,type,
    setadjoinE: $o ).

thf(func_def_44,type,
    setadjoinOr: $o ).

thf(func_def_45,type,
    setoftrueEq: $o ).

thf(func_def_46,type,
    powersetI: $o ).

thf(func_def_47,type,
    emptyinPowerset: $o ).

thf(func_def_48,type,
    emptyInPowerset: $o ).

thf(func_def_49,type,
    powersetE: $o ).

thf(func_def_50,type,
    setunionI: $o ).

thf(func_def_51,type,
    setunionE: $o ).

thf(func_def_52,type,
    subPowSU: $o ).

thf(func_def_53,type,
    exuE2: $o ).

thf(func_def_54,type,
    nonemptyImpWitness: $o ).

thf(func_def_55,type,
    uniqinunit: $o ).

thf(func_def_56,type,
    notinsingleton: $o ).

thf(func_def_57,type,
    eqinunit: $o ).

thf(func_def_58,type,
    singletonsswitch: $o ).

thf(func_def_59,type,
    upairsetE: $o ).

thf(func_def_60,type,
    upairsetIL: $o ).

thf(func_def_61,type,
    upairsetIR: $o ).

thf(func_def_62,type,
    emptyE1: $o ).

thf(func_def_63,type,
    vacuousDall: $o ).

thf(func_def_64,type,
    quantDeMorgan1: $o ).

thf(func_def_65,type,
    quantDeMorgan2: $o ).

thf(func_def_66,type,
    quantDeMorgan3: $o ).

thf(func_def_67,type,
    quantDeMorgan4: $o ).

thf(func_def_68,type,
    prop2setI: $o ).

thf(func_def_69,type,
    set2prop: $i > $o ).

thf(func_def_70,type,
    prop2set2propI: $o ).

thf(func_def_71,type,
    notdexE: $o ).

thf(func_def_72,type,
    notdallE: $o ).

thf(func_def_73,type,
    exuI1: $o ).

thf(func_def_74,type,
    exuI3: $o ).

thf(func_def_75,type,
    exuI2: $o ).

thf(func_def_76,type,
    inCongP: $o ).

thf(func_def_77,type,
    in__Cong: $o ).

thf(func_def_78,type,
    exuE3u: $o ).

thf(func_def_79,type,
    exu__Cong: $o ).

thf(func_def_80,type,
    emptyset__Cong: $o ).

thf(func_def_81,type,
    setadjoin__Cong: $o ).

thf(func_def_82,type,
    powerset__Cong: $o ).

thf(func_def_83,type,
    setunion__Cong: $o ).

thf(func_def_84,type,
    omega__Cong: $o ).

thf(func_def_85,type,
    exuEu: $o ).

thf(func_def_86,type,
    descr__Cong: $o ).

thf(func_def_87,type,
    dsetconstr__Cong: $o ).

thf(func_def_88,type,
    subset: $i > $i > $o ).

thf(func_def_89,type,
    disjoint: $i > $i > $o ).

thf(func_def_90,type,
    setsmeet: $i > $i > $o ).

thf(func_def_91,type,
    subsetI1: $o ).

thf(func_def_92,type,
    eqimpsubset2: $o ).

thf(func_def_93,type,
    eqimpsubset1: $o ).

thf(func_def_94,type,
    subsetI2: $o ).

thf(func_def_95,type,
    emptysetsubset: $o ).

thf(func_def_96,type,
    subsetE: $o ).

thf(func_def_97,type,
    subsetE2: $o ).

thf(func_def_98,type,
    notsubsetI: $o ).

thf(func_def_99,type,
    notequalI1: $o ).

thf(func_def_100,type,
    notequalI2: $o ).

thf(func_def_101,type,
    subsetRefl: $o ).

thf(func_def_102,type,
    subsetTrans: $o ).

thf(func_def_103,type,
    setadjoinSub: $o ).

thf(func_def_104,type,
    setadjoinSub2: $o ).

thf(func_def_105,type,
    subset2powerset: $o ).

thf(func_def_106,type,
    setextsub: $o ).

thf(func_def_107,type,
    subsetemptysetimpeq: $o ).

thf(func_def_108,type,
    powersetI1: $o ).

thf(func_def_109,type,
    powersetE1: $o ).

thf(func_def_110,type,
    inPowerset: $o ).

thf(func_def_111,type,
    powersetsubset: $o ).

thf(func_def_112,type,
    sepInPowerset: $o ).

thf(func_def_113,type,
    sepSubset: $o ).

thf(func_def_114,type,
    binunion: $i > $i > $i ).

thf(func_def_115,type,
    binunionIL: $o ).

thf(func_def_116,type,
    upairset2IR: $o ).

thf(func_def_117,type,
    binunionIR: $o ).

thf(func_def_118,type,
    binunionEcases: $o ).

thf(func_def_119,type,
    binunionE: $o ).

thf(func_def_120,type,
    binunionLsub: $o ).

thf(func_def_121,type,
    binunionRsub: $o ).

thf(func_def_122,type,
    binintersect: $i > $i > $i ).

thf(func_def_123,type,
    binintersectI: $o ).

thf(func_def_124,type,
    binintersectSubset5: $o ).

thf(func_def_125,type,
    binintersectEL: $o ).

thf(func_def_126,type,
    binintersectLsub: $o ).

thf(func_def_127,type,
    binintersectSubset2: $o ).

thf(func_def_128,type,
    binintersectSubset3: $o ).

thf(func_def_129,type,
    binintersectER: $o ).

thf(func_def_130,type,
    disjointsetsI1: $o ).

thf(func_def_131,type,
    binintersectRsub: $o ).

thf(func_def_132,type,
    binintersectSubset4: $o ).

thf(func_def_133,type,
    binintersectSubset1: $o ).

thf(func_def_134,type,
    bs114d: $o ).

thf(func_def_135,type,
    regular: $i > $o ).

thf(func_def_136,type,
    setminus: $i > $i > $i ).

thf(func_def_137,type,
    setminusI: $o ).

thf(func_def_138,type,
    setminusEL: $o ).

thf(func_def_139,type,
    setminusER: $o ).

thf(func_def_140,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_141,type,
    vIMP: $o > $o > $o ).

thf(func_def_142,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_143,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_144,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_145,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_146,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_147,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_148,type,
    vNOT: $o > $o ).

thf(func_def_149,type,
    vAND: $o > $o > $o ).

thf(func_def_150,type,
    vIFF: $o > $o > $o ).

thf(func_def_151,type,
    vOR: $o > $o > $o ).

thf(func_def_152,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_153,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_158,type,
    sF2: $o ).

thf(func_def_159,type,
    sF3: $o ).

thf(func_def_160,type,
    sF4: $o ).

thf(func_def_161,type,
    sF5: $o ).

thf(func_def_162,type,
    sF6: $o ).

thf(func_def_163,type,
    sF7: $o ).

thf(func_def_164,type,
    sF8: $o ).

thf(func_def_165,type,
    sF9: $o ).

thf(func_def_166,type,
    sF10: $o ).

thf(func_def_167,type,
    sF11: $o ).

thf(func_def_168,type,
    sF12: $o ).

thf(func_def_169,type,
    sF13: $o ).

thf(func_def_170,type,
    sF14: $o ).

thf(func_def_171,type,
    sF15: $o ).

thf(func_def_172,type,
    sF16: $o ).

thf(func_def_173,type,
    sF17: $o ).

thf(func_def_174,type,
    sF18: $o ).

thf(func_def_175,type,
    sF19: $o ).

thf(func_def_176,type,
    sF20: $o ).

thf(func_def_177,type,
    sF21: $o ).

thf(func_def_178,type,
    sF22: $o ).

thf(func_def_179,type,
    sF23: $o ).

thf(func_def_180,type,
    sF24: $o ).

thf(func_def_181,type,
    sF25: $o ).

thf(func_def_182,type,
    sF26: $o ).

thf(func_def_183,type,
    sF27: $o ).

thf(func_def_184,type,
    sF28: $o ).

thf(func_def_185,type,
    sF29: $o ).

thf(func_def_186,type,
    sF30: $o ).

thf(func_def_187,type,
    sF31: $o ).

thf(func_def_188,type,
    sF32: $o ).

thf(func_def_189,type,
    sF33: $o ).

thf(func_def_190,type,
    sF34: $o ).

thf(func_def_191,type,
    sF35: $o ).

thf(func_def_192,type,
    sF36: $o ).

thf(func_def_194,type,
    sF38: $o ).

thf(func_def_195,type,
    sF39: $o ).

thf(func_def_196,type,
    sF40: $o ).

thf(func_def_197,type,
    sF41: $o ).

thf(func_def_198,type,
    sF42: $o ).

thf(func_def_199,type,
    sF43: $o ).

thf(func_def_200,type,
    sF44: $o ).

thf(func_def_201,type,
    sF45: $o ).

thf(func_def_202,type,
    sF46: $o ).

thf(func_def_203,type,
    sF47: $o ).

thf(func_def_204,type,
    sF48: $o ).

thf(func_def_205,type,
    sF49: $o ).

thf(func_def_206,type,
    sF50: $o ).

thf(func_def_207,type,
    sF51: $o ).

thf(func_def_208,type,
    sF52: $o ).

thf(func_def_209,type,
    sF53: $o ).

thf(func_def_210,type,
    sF54: $o ).

thf(func_def_211,type,
    sF55: $o ).

thf(func_def_212,type,
    sF56: $o ).

thf(func_def_213,type,
    sF57: $o ).

thf(func_def_214,type,
    sF58: $o ).

thf(func_def_215,type,
    sF59: $o ).

thf(func_def_216,type,
    sF60: $o ).

thf(func_def_217,type,
    sF61: $o ).

thf(func_def_218,type,
    sF62: $o ).

thf(func_def_219,type,
    sF63: $o ).

thf(func_def_220,type,
    sF64: $o ).

thf(func_def_221,type,
    sF65: $o ).

thf(func_def_222,type,
    sF66: $o ).

thf(func_def_223,type,
    sF67: $o ).

thf(func_def_224,type,
    sF68: $o ).

thf(func_def_225,type,
    sF69: $o ).

thf(func_def_226,type,
    sF70: $o ).

thf(func_def_227,type,
    sF71: $o ).

thf(func_def_228,type,
    sF72: $o ).

thf(func_def_229,type,
    sF73: $o ).

thf(func_def_230,type,
    sF74: $o ).

thf(func_def_231,type,
    sF75: $o ).

thf(func_def_232,type,
    sF76: $o ).

thf(func_def_233,type,
    sF77: $o ).

thf(func_def_234,type,
    sF78: $o ).

thf(func_def_235,type,
    sF79: $o ).

thf(func_def_236,type,
    sF80: $o ).

thf(func_def_237,type,
    sF81: $o ).

thf(func_def_238,type,
    sF82: $o ).

thf(func_def_239,type,
    sF83: $o ).

thf(func_def_240,type,
    sF84: $o ).

thf(func_def_241,type,
    sF85: $o ).

thf(func_def_242,type,
    sF86: $o ).

thf(func_def_243,type,
    sF87: $o ).

thf(func_def_244,type,
    sF88: $o ).

thf(func_def_245,type,
    sF89: $o ).

thf(func_def_246,type,
    sF90: $o ).

thf(func_def_247,type,
    sF91: $o ).

thf(func_def_248,type,
    sF92: $o ).

thf(func_def_249,type,
    sF93: $o ).

thf(func_def_250,type,
    sF94: $o ).

thf(func_def_251,type,
    sF95: $o ).

thf(func_def_252,type,
    sF96: $o ).

thf(func_def_253,type,
    sF97: $o ).

thf(func_def_254,type,
    sF98: $o ).

thf(func_def_255,type,
    sF99: $o ).

thf(func_def_256,type,
    sF100: $o ).

thf(func_def_257,type,
    sF101: $o ).

thf(func_def_258,type,
    sF102: $o ).

thf(func_def_259,type,
    sF103: $o ).

thf(func_def_261,type,
    sF105: $o ).

thf(func_def_262,type,
    sF106: $o ).

thf(func_def_263,type,
    sF107: $o ).

thf(func_def_264,type,
    sF108: $o ).

thf(func_def_265,type,
    sF109: $o ).

thf(func_def_266,type,
    sF110: $o ).

thf(func_def_267,type,
    sF111: $o ).

thf(func_def_268,type,
    sF112: $o ).

thf(func_def_269,type,
    sF113: $o ).

thf(func_def_270,type,
    sF114: $o ).

thf(func_def_271,type,
    sF115: $o ).

thf(func_def_272,type,
    sF116: $o ).

thf(func_def_273,type,
    sF117: $o ).

thf(func_def_274,type,
    sF118: $o ).

thf(func_def_275,type,
    sF119: $o ).

thf(func_def_276,type,
    sF120: $o ).

thf(func_def_282,type,
    sK126: $i > ( $i > $o ) > $i ).

thf(func_def_284,type,
    sK128: $i > $o ).

thf(func_def_286,type,
    sK130: ( $i > $o ) > $i ).

thf(func_def_287,type,
    sK131: ( $i > $o ) > $i > $i ).

thf(func_def_288,type,
    sK132: $i > $o ).

thf(func_def_290,type,
    sK134: $o ).

thf(func_def_294,type,
    sK138: $i > $i ).

thf(func_def_295,type,
    sK139: $i > $i ).

thf(func_def_306,type,
    sK150: $i > $o ).

thf(func_def_321,type,
    sK165: $i > $o ).

thf(func_def_323,type,
    sK167: $i > $i ).

thf(func_def_324,type,
    sK168: ( $i > $o ) > $i ).

thf(func_def_325,type,
    sK169: ( $i > $o ) > $i > $i ).

thf(func_def_326,type,
    sK170: ( $i > $o ) > $i > $i ).

thf(func_def_328,type,
    sK172: $i > $i ).

thf(func_def_329,type,
    sK173: ( $i > $o ) > $i ).

thf(func_def_330,type,
    sK174: ( $i > $o ) > $i ).

thf(func_def_331,type,
    sK175: ( $i > $o ) > $i ).

thf(func_def_332,type,
    sK176: $i > $o ).

thf(func_def_334,type,
    sK178: $i > $i ).

thf(func_def_347,type,
    sK191: $o ).

thf(func_def_351,type,
    sK195: $i > $i ).

thf(func_def_352,type,
    sK196: $i > $i ).

thf(func_def_353,type,
    sK197: $i > $i ).

thf(func_def_354,type,
    sK198: $i > $i ).

thf(func_def_355,type,
    sK199: $i > $i ).

thf(func_def_356,type,
    sK200: $i > $i ).

thf(func_def_357,type,
    sK201: $i > $i ).

thf(func_def_358,type,
    sK202: $i > $i ).

thf(func_def_359,type,
    sK203: $i > $i ).

thf(func_def_360,type,
    sK204: $i > $i ).

thf(func_def_361,type,
    sK205: $i > $i ).

thf(func_def_362,type,
    sK206: $i > $i ).

thf(func_def_363,type,
    sK207: $i > $i ).

thf(func_def_364,type,
    sK208: $i > $i ).

thf(func_def_365,type,
    sK209: $i > $i ).

thf(func_def_366,type,
    sK210: $i > $i ).

thf(func_def_367,type,
    sK211: $i > $i ).

thf(func_def_368,type,
    sK212: $i > $i ).

thf(func_def_369,type,
    sK213: $i > $i ).

thf(func_def_370,type,
    sK214: $i > $i ).

thf(func_def_371,type,
    sK215: $i > $i ).

thf(func_def_372,type,
    sK216: $i > $i ).

thf(func_def_373,type,
    sK217: $i > $i ).

thf(func_def_374,type,
    sK218: $i > $i ).

thf(func_def_375,type,
    sK219: $i > $i ).

thf(func_def_376,type,
    sK220: $i > $i ).

thf(func_def_377,type,
    sK221: $i > $i ).

thf(func_def_378,type,
    sK222: $i > $i ).

thf(func_def_379,type,
    sK223: $i > $i ).

thf(func_def_380,type,
    sK224: $i > $i ).

thf(func_def_381,type,
    sK225: $i > $i ).

thf(func_def_382,type,
    sK226: $i > $i ).

thf(func_def_383,type,
    sK227: $i > $i ).

thf(func_def_384,type,
    sK228: $i > $i ).

thf(func_def_385,type,
    sK229: $i > $i ).

thf(func_def_386,type,
    sK230: $i > $i ).

thf(func_def_387,type,
    sK231: $i > $i ).

thf(func_def_388,type,
    sK232: $i > $i ).

thf(func_def_389,type,
    sK233: $i > $i ).

thf(func_def_390,type,
    sK234: $i > $i ).

thf(func_def_391,type,
    sK235: $i > $i ).

thf(func_def_392,type,
    sK236: $i > $i ).

thf(func_def_393,type,
    sK237: $i > $i ).

thf(func_def_394,type,
    sK238: $i > $i ).

thf(func_def_395,type,
    sK239: $i > $i ).

thf(func_def_396,type,
    sK240: $i > $i ).

thf(func_def_397,type,
    sK241: $i > $i ).

thf(func_def_398,type,
    sK242: $i > $i ).

thf(func_def_399,type,
    sK243: $i > $i ).

thf(func_def_400,type,
    sK244: $i > $i ).

thf(func_def_401,type,
    sK245: $i > $i ).

thf(func_def_402,type,
    sK246: $i > $i ).

thf(func_def_403,type,
    sK247: $i > $i > $i > $i ).

thf(func_def_404,type,
    sK248: $i > $i > $i ).

thf(func_def_405,type,
    sK249: $i > $i > $i > $i ).

thf(func_def_406,type,
    sK250: $i > $i > $i > $i ).

thf(func_def_407,type,
    sK251: $i > $i > $i ).

thf(func_def_408,type,
    sK252: $i > $i > $i > $i ).

thf(func_def_409,type,
    sK253: $i > $i > $i > $i ).

thf(func_def_410,type,
    sK254: $i > $i > $i > $i ).

thf(func_def_411,type,
    sK255: $i > $i > $i > $i ).

thf(func_def_412,type,
    sK256: $i > $i > $i ).

thf(func_def_413,type,
    sK257: $i > $i > $i > $i ).

thf(func_def_414,type,
    sK258: $i > $i > $i > $i ).

thf(func_def_415,type,
    sK259: $i > $i > $i ).

thf(func_def_416,type,
    sK260: $i > $i > $i > $i ).

thf(func_def_417,type,
    sK261: $i > $i > $i > $i ).

thf(func_def_418,type,
    sK262: $i > $i > $i > $i ).

thf(func_def_419,type,
    sK263: $i > $i > $i > $i ).

thf(func_def_420,type,
    sK264: $i > $i > $i ).

thf(func_def_421,type,
    sK265: $i > $i > $i > $i ).

thf(func_def_422,type,
    sK266: $i > $i > $i > $i ).

thf(func_def_423,type,
    sK267: $i > $i > $i > $i ).

thf(func_def_424,type,
    sK268: $i > $i > $i ).

thf(func_def_425,type,
    sK269: $i > $i > $i > $i ).

thf(func_def_426,type,
    sK270: $i > $i > $i > $i ).

thf(func_def_427,type,
    sK271: $i > $i > $i > $i ).

thf(func_def_428,type,
    sK272: $i > $i > $i ).

thf(func_def_429,type,
    sK273: $i > $i > $i > $i ).

thf(func_def_430,type,
    sK274: $i > $i > $i > $i ).

thf(func_def_431,type,
    sK275: $i > $i > $i ).

thf(func_def_432,type,
    sK276: $i > $i > $i > $i ).

thf(func_def_433,type,
    sK277: $i > $i > $i > $i ).

thf(func_def_434,type,
    sK278: $i > $i ).

thf(func_def_435,type,
    sK279: $i > $i > $i ).

thf(func_def_436,type,
    sK280: $i > $i > $i > $i ).

thf(func_def_437,type,
    sK281: $i > $i > $i > $i ).

thf(func_def_438,type,
    sK282: $i > $i > $i > $i ).

thf(func_def_439,type,
    sK283: $i > $i > $i ).

thf(func_def_440,type,
    sK284: $i > $i > $i > $i ).

thf(func_def_441,type,
    sK285: $i > $i > $i > $i ).

thf(func_def_442,type,
    sK286: $i > $i > $i > $i ).

thf(func_def_443,type,
    sK287: $i > $i ).

thf(func_def_444,type,
    sK288: $i > $i > $i > $i ).

thf(func_def_445,type,
    sK289: $i > $i > $i ).

thf(func_def_446,type,
    sK290: $i > $i > $i > $i ).

thf(func_def_447,type,
    sK291: $i > $i > $i > $i ).

thf(func_def_448,type,
    sK292: $i > $i > $i ).

thf(func_def_449,type,
    sK293: $i > $i > $i > $i ).

thf(func_def_450,type,
    sK294: $i > $i > $i > $i ).

thf(func_def_451,type,
    sK295: $i > $i > $i > $i ).

thf(func_def_452,type,
    sK296: $i > $i ).

thf(func_def_453,type,
    sK297: $i > $i > $i > $i ).

thf(func_def_454,type,
    sK298: $i > $i > $i ).

thf(func_def_455,type,
    sK299: $i > $i > $i > $i ).

thf(func_def_456,type,
    sK300: $i > $i > $i > $i ).

thf(func_def_457,type,
    sK301: $i > $i > $i > $i ).

thf(func_def_458,type,
    sK302: $i > $i > $i ).

thf(func_def_459,type,
    sK303: $i > $i > $i > $i ).

thf(func_def_460,type,
    sK304: $i > $i > $i > $i ).

thf(func_def_461,type,
    sK305: $i > $i ).

thf(func_def_462,type,
    sK306: $i > $i > $i > $i ).

thf(func_def_463,type,
    sK307: $i > $i > $i ).

thf(func_def_464,type,
    sK308: $i > $i > $i > $i ).

thf(func_def_465,type,
    sK309: $i > $i > $i > $i ).

thf(func_def_466,type,
    sK310: $i > $i > $i > $i ).

thf(func_def_467,type,
    sK311: $i > $i > $i ).

thf(func_def_468,type,
    sK312: $i > $i > $i > $i ).

thf(func_def_469,type,
    sK313: $i > $i > $i > $i ).

thf(func_def_470,type,
    sK314: $i > $i ).

thf(func_def_471,type,
    sK315: $i > $i > $i > $i ).

thf(func_def_472,type,
    sK316: $i > $i > $i ).

thf(func_def_473,type,
    sK317: $i > $i > $i > $i ).

thf(func_def_474,type,
    sK318: $i > $i > $i > $i ).

thf(func_def_475,type,
    sK319: $i > $i > $i ).

thf(func_def_476,type,
    sK320: $i > $i > $i > $i ).

thf(func_def_477,type,
    sK321: $i > $i > $i > $i ).

thf(func_def_478,type,
    sK322: $i > $i > $i > $i ).

thf(func_def_479,type,
    sK323: $i > $i > $i ).

thf(func_def_480,type,
    sK324: $i > $i > $i > $i ).

thf(func_def_481,type,
    sK325: $i > $i > $i > $i ).

thf(func_def_482,type,
    sK326: $i > $i > $i > $i ).

thf(func_def_483,type,
    sK327: $i > $i > $i ).

thf(func_def_484,type,
    sK328: $i > $i > $i > $i ).

thf(func_def_485,type,
    sK329: $i > $i > $i > $i ).

thf(func_def_486,type,
    sK330: $i > $i > $i > $i ).

thf(func_def_487,type,
    sK331: $i > $i > $i ).

thf(func_def_488,type,
    sK332: $i > $i > $i > $i ).

thf(func_def_489,type,
    sK333: $i > $i > $i > $i ).

thf(func_def_490,type,
    sK334: $i > $i > $i > $i ).

thf(func_def_491,type,
    sK335: $i > $i > $i ).

thf(func_def_492,type,
    sK336: $i > $i > $i > $i ).

thf(func_def_493,type,
    sK337: $i > $i > $i > $i ).

thf(func_def_494,type,
    sK338: $i > $i > $i > $i ).

thf(func_def_495,type,
    sK339: $i > $i > $i > $i ).

thf(func_def_496,type,
    sK340: $i > $i > $i ).

thf(func_def_497,type,
    sK341: $i > $i > $i > $i ).

thf(func_def_498,type,
    sK342: $i > $i > $i > $i ).

thf(func_def_499,type,
    sK343: $i > $i > $i ).

thf(func_def_500,type,
    sK344: $i > $i > $i > $i ).

thf(func_def_501,type,
    sK345: $i > $i > $i > $i ).

thf(func_def_502,type,
    sK346: $i > $i > $i > $i ).

thf(func_def_503,type,
    sK347: $i > $i ).

thf(func_def_504,type,
    sK348: $i > $i > $i > $i ).

thf(func_def_505,type,
    sK349: $i > $i > $i ).

thf(func_def_506,type,
    sK350: $i > $i > $i > $i ).

thf(func_def_507,type,
    sK351: $i > $i > $i > $i ).

thf(func_def_508,type,
    sK352: $i > $i > $i > $i ).

thf(func_def_509,type,
    sK353: $i > $i > $i ).

thf(func_def_510,type,
    sK354: $i > $i > $i > $i ).

thf(func_def_511,type,
    sK355: $i > $i > $i > $i ).

thf(func_def_512,type,
    sK356: $i > $i > $i ).

thf(func_def_513,type,
    sK357: $i > $i > $i > $i ).

thf(func_def_514,type,
    sK358: $i > $i > $i > $i ).

thf(func_def_515,type,
    sK359: $i > $i > $i > $i ).

thf(func_def_516,type,
    sK360: $i > $i > $i ).

thf(func_def_517,type,
    sK361: $i > $i > $i > $i ).

thf(func_def_518,type,
    sK362: $i > $i > $i > $i ).

thf(func_def_519,type,
    sK363: $i > $i > $i > $i ).

thf(func_def_520,type,
    sK364: $i > $i > $i > $i ).

thf(func_def_521,type,
    sK365: $i > $i > $i ).

thf(func_def_522,type,
    sK366: $i > $i > $i > $i ).

thf(func_def_523,type,
    sK367: $i > $i > $i > $i ).

thf(func_def_524,type,
    sK368: $i > $i > $i ).

thf(func_def_525,type,
    sK369: $i > $i > $i > $i ).

thf(func_def_526,type,
    sK370: $i > $i > $i > $i ).

thf(func_def_527,type,
    sK371: $i > $i > $i ).

thf(func_def_528,type,
    sK372: $i > $i > $i > $i ).

thf(func_def_529,type,
    sK373: $i > $i > $i > $i ).

thf(func_def_530,type,
    sK374: $i > $i > $i > $i ).

thf(func_def_531,type,
    sK375: $i > $i > $i > $i ).

thf(func_def_532,type,
    sK376: $i > $i > $i ).

thf(func_def_533,type,
    sK377: $i > $i > $i > $i ).

thf(func_def_534,type,
    sK378: $i > $i > $i > $i ).

thf(func_def_535,type,
    sK379: $i > $i ).

thf(func_def_536,type,
    sK380: $i > $i > $i > $i ).

thf(func_def_537,type,
    sK381: $i > $i > $i ).

thf(func_def_538,type,
    sK382: $i > $i > $i > $i ).

thf(func_def_539,type,
    sK383: $i > $i > $i > $i ).

thf(func_def_540,type,
    sK384: $i > $i > $i ).

thf(func_def_541,type,
    sK385: $i > $i > $i > $i ).

thf(func_def_542,type,
    sK386: $i > $i > $i > $i ).

thf(func_def_543,type,
    sK387: $i > $i > $i > $i ).

thf(func_def_544,type,
    sK388: $i > $i > $i > $i ).

thf(func_def_545,type,
    sK389: $i > $i > $i ).

thf(func_def_546,type,
    sK390: $i > $i > $i > $i ).

thf(func_def_547,type,
    sK391: $i > $i > $i > $i ).

thf(func_def_548,type,
    sK392: $i > $i > $i ).

thf(func_def_549,type,
    sK393: $i > $i > $i > $i ).

thf(func_def_550,type,
    sK394: $i > $i > $i > $i ).

thf(func_def_551,type,
    sK395: $i > $i > $i > $i ).

thf(func_def_552,type,
    sK396: $i > $i > $i ).

thf(func_def_553,type,
    sK397: $i > $i > $i > $i ).

thf(func_def_554,type,
    sK398: $i > $i > $i ).

thf(func_def_555,type,
    sK399: $i > $i > $i > $i ).

thf(func_def_556,type,
    sK400: $i > $i > $i > $i ).

thf(func_def_557,type,
    sK401: $i > $i > $i > $i ).

thf(func_def_558,type,
    sK402: $i > $i > $i ).

thf(func_def_559,type,
    sK403: $i > $i > $i > $i ).

thf(func_def_560,type,
    sK404: $i > $i > $i > $i ).

thf(func_def_561,type,
    sK405: $i > $i > $i > $i ).

thf(func_def_562,type,
    sK406: $i > $i > $i > $i ).

thf(func_def_563,type,
    sK407: $i > $i > $i ).

thf(func_def_564,type,
    sK408: $i > $i > $i > $i ).

thf(func_def_565,type,
    sK409: $i > $i > $i > $i ).

thf(func_def_566,type,
    sK410: $i > $i ).

thf(func_def_567,type,
    sK411: $i > $i > $i > $i ).

thf(func_def_568,type,
    sK412: $i > $i > $i ).

thf(func_def_569,type,
    sK413: $i > $i > $i > $i ).

thf(func_def_570,type,
    sK414: $i > $i > $i > $i ).

thf(func_def_571,type,
    sK415: $i > $i > $i > $i ).

thf(func_def_572,type,
    sK416: $i > $i > $i ).

thf(func_def_573,type,
    sK417: $i > $i > $i > $i ).

thf(func_def_574,type,
    sK418: $i > $i > $i > $i ).

thf(func_def_575,type,
    sK419: $i > $i > $i > $i ).

thf(func_def_576,type,
    sK420: $i > $i > $i ).

thf(func_def_577,type,
    sK421: $i > $i > $i > $i ).

thf(func_def_578,type,
    sK422: $i > $i > $i > $i ).

thf(func_def_579,type,
    sK423: $i > $i > $i ).

thf(func_def_580,type,
    sK424: $i > $i > $i > $i ).

thf(func_def_581,type,
    sK425: $i > $i > $i > $i ).

thf(func_def_582,type,
    sK426: $i > $i > $i > $i ).

thf(func_def_583,type,
    sK427: $i > $i > $i > $i ).

thf(func_def_584,type,
    sK428: $i > $i > $i ).

thf(func_def_585,type,
    sK429: $i > $i > $i > $i ).

thf(func_def_586,type,
    sK430: $i > $i > $i > $i ).

thf(func_def_587,type,
    sK431: $i > $i > $i ).

thf(func_def_588,type,
    sK432: $i > $i > $i > $i ).

thf(func_def_589,type,
    sK433: $i > $i > $i > $i ).

thf(func_def_590,type,
    sK434: $i > $i > $i > $i ).

thf(func_def_591,type,
    sK435: $i > $i > $i > $i ).

thf(func_def_592,type,
    sK436: $i > $i > $i ).

thf(func_def_593,type,
    sK437: $i > $i > $i > $i ).

thf(func_def_594,type,
    sK438: $i > $i > $i > $i ).

thf(func_def_595,type,
    sK439: $i > $i > $i > $i ).

thf(func_def_596,type,
    sK440: $i > $i > $i ).

thf(func_def_597,type,
    sK441: $i > $i > $i > $i ).

thf(func_def_598,type,
    sK442: $i > $i > $i > $i ).

thf(func_def_599,type,
    sK443: $i > $i > $i ).

thf(func_def_600,type,
    sK444: $i > $i > $i > $i ).

thf(func_def_601,type,
    sK445: $i > $i > $i > $i ).

thf(func_def_602,type,
    sK446: $i > $i > $i > $i ).

thf(func_def_603,type,
    sK447: $i > $i > $i > $i ).

thf(func_def_604,type,
    sK448: $i > $i > $i ).

thf(func_def_605,type,
    sK449: $i > $i > $i > $i ).

thf(func_def_606,type,
    sK450: $i > $i > $i ).

thf(func_def_607,type,
    sK451: $i > $i > $i > $i ).

thf(func_def_608,type,
    sK452: $i > $i > $i > $i ).

thf(func_def_609,type,
    sK453: $i > $i > $i > $i ).

thf(func_def_610,type,
    sK454: $i > $i > $i > $i ).

thf(func_def_611,type,
    sK455: $i > $i > $i ).

thf(func_def_612,type,
    sK456: $i > $i > $i > $i ).

thf(func_def_613,type,
    sK457: $i > $i > $i > $i ).

thf(func_def_614,type,
    sK458: $i > $i ).

thf(func_def_615,type,
    sK459: $i > $i > $i ).

thf(func_def_616,type,
    sK460: $i > $i > $i > $i ).

thf(func_def_617,type,
    sK461: $i > $i > $i > $i ).

thf(func_def_618,type,
    sK462: $i > $i > $i > $i ).

thf(func_def_619,type,
    sK463: $i > $i > $i ).

thf(func_def_620,type,
    sK464: $i > $i > $i > $i ).

thf(func_def_621,type,
    sK465: $i > $i > $i > $i ).

thf(func_def_622,type,
    sK466: $i > $i ).

thf(func_def_623,type,
    sK467: $i > $i > $i > $i ).

thf(func_def_624,type,
    sK468: $i > $i > $i ).

thf(func_def_625,type,
    sK469: $i > $i > $i > $i ).

thf(func_def_626,type,
    sK470: $i > $i > $i > $i ).

thf(func_def_627,type,
    sK471: $i > $i > $i > $i ).

thf(func_def_628,type,
    sK472: $i > $i > $i ).

thf(func_def_629,type,
    sK473: $i > $i > $i > $i ).

thf(func_def_630,type,
    sK474: $i > $i > $i > $i ).

thf(func_def_631,type,
    sK475: $i > $i ).

thf(func_def_632,type,
    sK476: $i > $i > $i > $i ).

thf(func_def_633,type,
    sK477: $i > $i > $i ).

thf(func_def_634,type,
    sK478: $i > $i > $i > $i ).

thf(func_def_635,type,
    sK479: $i > $i > $i > $i ).

thf(func_def_636,type,
    sK480: $i > $i > $i > $i ).

thf(func_def_637,type,
    sK481: $i > $i > $i ).

thf(func_def_638,type,
    sK482: $i > $i > $i > $i ).

thf(func_def_639,type,
    sK483: $i > $i > $i > $i ).

thf(func_def_640,type,
    sK484: $i > $i ).

thf(func_def_641,type,
    sK485: $i > $i > $i > $i ).

thf(func_def_642,type,
    sK486: $i > $i > $i ).

thf(func_def_643,type,
    sK487: $i > $i > $i > $i ).

thf(func_def_644,type,
    sK488: $i > $i > $i > $i ).

thf(func_def_645,type,
    sK489: $i > $i > $i > $i ).

thf(func_def_646,type,
    sK490: $i > $i > $i ).

thf(func_def_647,type,
    sK491: $i > $i > $i > $i ).

thf(func_def_648,type,
    sK492: $i > $i > $i > $i ).

thf(func_def_649,type,
    sK493: $i > $i > $i ).

thf(func_def_650,type,
    sK494: $i > $i > $i > $i ).

thf(func_def_651,type,
    sK495: $i > $i > $i > $i ).

thf(func_def_652,type,
    sK496: $i > $i > $i > $i ).

thf(func_def_653,type,
    sK497: $i > $i > $i ).

thf(func_def_654,type,
    sK498: $i > $i > $i > $i ).

thf(func_def_655,type,
    sK499: $i > $i > $i > $i ).

thf(func_def_656,type,
    sK500: $i > $i ).

thf(func_def_657,type,
    sK501: $i > $i > $i ).

thf(func_def_658,type,
    sK502: $i > $i > $i > $i ).

thf(func_def_659,type,
    sK503: $i > $i > $i > $i ).

thf(func_def_660,type,
    sK504: $i > $i > $i > $i ).

thf(func_def_661,type,
    sK505: $i > $i > $i ).

thf(func_def_662,type,
    sK506: $i > $i > $i > $i ).

thf(func_def_663,type,
    sK507: $i > $i > $i > $i ).

thf(func_def_664,type,
    sK508: $i > $i > $i > $i ).

thf(func_def_665,type,
    sK509: $i > $i ).

thf(func_def_666,type,
    sK510: $i > $i > $i ).

thf(func_def_667,type,
    sK511: $i > $i > $i > $i ).

thf(func_def_668,type,
    sK512: $i > $i > $i > $i ).

thf(func_def_669,type,
    sK513: $i > $i > $i > $i ).

thf(func_def_670,type,
    sK514: $i > $i > $i ).

thf(func_def_671,type,
    sK515: $i > $i > $i > $i ).

thf(func_def_672,type,
    sK516: $i > $i > $i > $i ).

thf(func_def_673,type,
    sK517: $i > $i > $i ).

thf(func_def_674,type,
    sK518: $i > $i > $i > $i ).

thf(func_def_675,type,
    sK519: $i > $i > $i > $i ).

thf(func_def_676,type,
    sK520: $i > $i > $i > $i ).

thf(func_def_677,type,
    sK521: $i > $i > $i ).

thf(func_def_678,type,
    sK522: $i > $i > $i > $i ).

thf(func_def_679,type,
    sK523: $i > $i > $i > $i ).

thf(func_def_680,type,
    sK524: $i > $i > $i > $i ).

thf(func_def_681,type,
    sK525: $i > $i ).

thf(func_def_682,type,
    sK526: $i > $i > $i ).

thf(func_def_683,type,
    sK527: $i > $i > $i > $i ).

thf(func_def_684,type,
    sK528: $i > $i > $i > $i ).

thf(func_def_685,type,
    sK529: $i > $i > $i > $i ).

thf(func_def_686,type,
    sK530: $i > $i > $i > $i ).

thf(func_def_687,type,
    sK531: $i > $i > $i ).

thf(func_def_688,type,
    sK532: $i > $i > $i > $i ).

thf(func_def_689,type,
    sK533: $i > $i > $i > $i ).

thf(func_def_690,type,
    sK534: $i > $i ).

thf(func_def_691,type,
    sK535: $i > $i > $i > $i ).

thf(func_def_692,type,
    sK536: $i > $i > $i ).

thf(func_def_693,type,
    sK537: $i > $i > $i > $i ).

thf(func_def_694,type,
    sK538: $i > $i > $i ).

thf(func_def_695,type,
    sK539: $i > $i > $i > $i ).

thf(func_def_696,type,
    sK540: $i > $i > $i > $i ).

thf(func_def_697,type,
    sK541: $i > $i > $i > $i ).

thf(func_def_698,type,
    sK542: $i > $i ).

thf(func_def_699,type,
    sK543: $i > $i > $i > $i ).

thf(func_def_700,type,
    sK544: $i > $i > $i ).

thf(func_def_701,type,
    sK545: $i > $i > $i ).

thf(func_def_702,type,
    sK546: $i > $i > $i ).

thf(func_def_703,type,
    sK547: $i > $i > $i ).

thf(func_def_705,type,
    sK549: $i > $o ).

thf(func_def_708,type,
    sK552: $i > $o ).

thf(func_def_709,type,
    sK553: ( $i > $o ) > $i ).

thf(func_def_710,type,
    sK554: ( $i > $o ) > $i > $i ).

thf(func_def_711,type,
    sK555: $i > $o ).

thf(func_def_713,type,
    sK557: $i > $i ).

thf(func_def_714,type,
    sK558: ( $i > $o ) > $i > $i ).

thf(func_def_715,type,
    sK559: $i > $o ).

thf(func_def_720,type,
    sK564: $i > $o ).

thf(func_def_722,type,
    sK566: $i > $i ).

thf(func_def_723,type,
    sK567: ( $i > $o ) > $i ).

thf(func_def_724,type,
    sK568: ( $i > $o ) > $i > $i ).

thf(func_def_725,type,
    sK569: $i > $i > $i ).

thf(func_def_729,type,
    sK573: $i > $o ).

thf(func_def_735,type,
    sK579: $i > $i ).

thf(func_def_738,type,
    sK582: $i > $o ).

thf(func_def_740,type,
    sK584: ( $i > $o ) > $i > $i ).

thf(func_def_746,type,
    sK590: $i > $o ).

thf(func_def_748,type,
    sK592: $i > $o ).

thf(func_def_751,type,
    sK595: ( $i > $o ) > $i > $i ).

thf(func_def_752,type,
    sK596: $i > ( $i > $o ) > $i ).

thf(func_def_754,type,
    sK598: $i > $o ).

thf(func_def_768,type,
    sK612: $i > $o ).

thf(func_def_771,type,
    sK615: $i > $o ).

thf(func_def_775,type,
    sK619: $i > $i > $i ).

thf(func_def_776,type,
    sK620: $i > $i > $i ).

thf(func_def_783,type,
    sK627: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_784,type,
    sK628: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_785,type,
    sK629: ( $i > $o ) > $i > $i ).

thf(func_def_786,type,
    sK630: $i > ( $i > $o ) > $i ).

thf(func_def_787,type,
    sK631: $i > $o ).

thf(func_def_788,type,
    sK632: $i > $o ).

thf(func_def_791,type,
    sK635: $o > $i > $i > $i ).

thf(func_def_794,type,
    sK638: $o ).

thf(func_def_798,type,
    sK642: $o ).

thf(func_def_799,type,
    sK643: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_800,type,
    sK644: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_801,type,
    sK645: ( $i > $o ) > $i ).

thf(func_def_802,type,
    sK646: $i > ( $i > $o ) > $i ).

thf(func_def_803,type,
    sK647: $i > ( $i > $o ) > $i ).

thf(func_def_804,type,
    sK648: ( $i > $o ) > $i ).

thf(func_def_805,type,
    sK649: $i > ( $i > $o ) > $i ).

thf(func_def_806,type,
    sK650: $i > ( $i > $o ) > $i ).

thf(func_def_807,type,
    sK651: ( $i > $o ) > $i ).

thf(func_def_808,type,
    sK652: $i > ( $i > $o ) > $i ).

thf(func_def_809,type,
    sK653: $i > ( $i > $o ) > $i ).

thf(func_def_810,type,
    sK654: ( $i > $o ) > $i ).

thf(func_def_811,type,
    sK655: $i > ( $i > $o ) > $i ).

thf(func_def_812,type,
    sK656: $i > $o ).

thf(func_def_813,type,
    sK657: $i > $o ).

thf(func_def_814,type,
    sK658: $i > $i ).

thf(func_def_815,type,
    sK659: $i > $i ).

thf(func_def_832,type,
    sK676: ( $i > $i > $o ) > $i > $i ).

thf(func_def_833,type,
    sK677: ( $i > $i > $o ) > $i > $i ).

thf(func_def_834,type,
    sK678: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_835,type,
    sK679: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_836,type,
    sK680: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_837,type,
    sK681: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_838,type,
    sK682: $i > $i > $o ).

thf(func_def_840,type,
    sK684: $i > $i ).

thf(func_def_841,type,
    sK685: $i > $i ).

thf(func_def_842,type,
    sK686: $i > $i ).

thf(func_def_854,type,
    sK698: $i > $i > $i ).

thf(func_def_858,type,
    sK702: $i > $i ).

thf(func_def_864,type,
    sK708: $i > $i > $i ).

thf(func_def_876,type,
    sK720: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).

thf(func_def_877,type,
    sK721: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_880,type,
    sK724: $i > $o ).

thf(func_def_881,type,
    sK725: $i > $o ).

thf(func_def_882,type,
    sK726: $o ).

thf(func_def_890,type,
    sK734: $i > $o ).

thf(func_def_900,type,
    sK744: $i > $i > $i ).

thf(func_def_907,type,
    sK751: $i > $i > $i ).

thf(func_def_916,type,
    sK760: $o ).

thf(func_def_925,type,
    sK769: $i > $i > $i ).

thf(func_def_929,type,
    sK773: $i > $o ).

thf(func_def_930,type,
    sK774: ( $i > $o ) > $i ).

thf(func_def_931,type,
    sK775: ( $i > $o ) > $i > $i ).

thf(func_def_932,type,
    sK776: ( $i > $o ) > $i > $i ).

thf(func_def_933,type,
    sK777: $i > $o ).

thf(func_def_935,type,
    sK779: $i > $i ).

thf(func_def_937,type,
    sK781: ( $i > $o ) > $i > $i ).

thf(func_def_938,type,
    sK782: $i > $o ).

thf(func_def_948,type,
    sK792: $i > $i ).

thf(func_def_950,type,
    sK794: $i > $i > $i ).

thf(func_def_954,type,
    sK798: $i > $o ).

thf(func_def_957,type,
    sK801: ( $i > $o ) > $i > $i ).

thf(func_def_962,type,
    sK806: $o ).

thf(f24,axiom,
    ( emptyI
    = ( ! [X0: $i] :
          ( ! [X1: $i] :
              ~ ( in @ X1 @ X0 )
         => ( X0 = emptyset ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI) ).

thf(f85,axiom,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( in @ X2 @ X0 )
       => ( ~ ( in @ X2 @ X1 )
         => ~ ( subset @ X0 @ X1 ) ) )
      = notsubsetI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',notsubsetI) ).

thf(f121,axiom,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
       => ( in @ X2 @ X0 ) )
      = setminusEL ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusEL) ).

thf(f122,axiom,
    ( setminusER
    = ( ! [X1: $i,X0: $i,X2: $i] :
          ( ( in @ X2 @ ( setminus @ X0 @ X1 ) )
         => ~ ( in @ X2 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusER) ).

thf(f123,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( setadjoinAx
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( setadjoinIL
                                                           => ( emptyinunitempty
                                                             => ( setadjoinIR
                                                               => ( setadjoinE
                                                                 => ( setadjoinOr
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( uniqinunit
                                                                                         => ( notinsingleton
                                                                                           => ( eqinunit
                                                                                             => ( singletonsswitch
                                                                                               => ( upairsetE
                                                                                                 => ( upairsetIL
                                                                                                   => ( upairsetIR
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ( exu__Cong
                                                                                                                                       => ( emptyset__Cong
                                                                                                                                         => ( setadjoin__Cong
                                                                                                                                           => ( powerset__Cong
                                                                                                                                             => ( setunion__Cong
                                                                                                                                               => ( omega__Cong
                                                                                                                                                 => ( exuEu
                                                                                                                                                   => ( descr__Cong
                                                                                                                                                     => ( dsetconstr__Cong
                                                                                                                                                       => ( subsetI1
                                                                                                                                                         => ( eqimpsubset2
                                                                                                                                                           => ( eqimpsubset1
                                                                                                                                                             => ( subsetI2
                                                                                                                                                               => ( emptysetsubset
                                                                                                                                                                 => ( subsetE
                                                                                                                                                                   => ( subsetE2
                                                                                                                                                                     => ( notsubsetI
                                                                                                                                                                       => ( notequalI1
                                                                                                                                                                         => ( notequalI2
                                                                                                                                                                           => ( subsetRefl
                                                                                                                                                                             => ( subsetTrans
                                                                                                                                                                               => ( setadjoinSub
                                                                                                                                                                                 => ( setadjoinSub2
                                                                                                                                                                                   => ( subset2powerset
                                                                                                                                                                                     => ( setextsub
                                                                                                                                                                                       => ( subsetemptysetimpeq
                                                                                                                                                                                         => ( powersetI1
                                                                                                                                                                                           => ( powersetE1
                                                                                                                                                                                             => ( inPowerset
                                                                                                                                                                                               => ( powersetsubset
                                                                                                                                                                                                 => ( sepInPowerset
                                                                                                                                                                                                   => ( sepSubset
                                                                                                                                                                                                     => ( binunionIL
                                                                                                                                                                                                       => ( upairset2IR
                                                                                                                                                                                                         => ( binunionIR
                                                                                                                                                                                                           => ( binunionEcases
                                                                                                                                                                                                             => ( binunionE
                                                                                                                                                                                                               => ( binunionLsub
                                                                                                                                                                                                                 => ( binunionRsub
                                                                                                                                                                                                                   => ( binintersectI
                                                                                                                                                                                                                     => ( binintersectSubset5
                                                                                                                                                                                                                       => ( binintersectEL
                                                                                                                                                                                                                         => ( binintersectLsub
                                                                                                                                                                                                                           => ( binintersectSubset2
                                                                                                                                                                                                                             => ( binintersectSubset3
                                                                                                                                                                                                                               => ( binintersectER
                                                                                                                                                                                                                                 => ( disjointsetsI1
                                                                                                                                                                                                                                   => ( binintersectRsub
                                                                                                                                                                                                                                     => ( binintersectSubset4
                                                                                                                                                                                                                                       => ( binintersectSubset1
                                                                                                                                                                                                                                         => ( bs114d
                                                                                                                                                                                                                                           => ( setminusI
                                                                                                                                                                                                                                             => ( setminusEL
                                                                                                                                                                                                                                               => ( setminusER
                                                                                                                                                                                                                                                 => ! [X0: $i,X1: $i] :
                                                                                                                                                                                                                                                      ( ( subset @ X0 @ X1 )
                                                                                                                                                                                                                                                     => ( ( setminus @ X0 @ X1 )
                                                                                                                                                                                                                                                        = emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusSubset2) ).

thf(f124,negated_conjecture,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ( exu__Cong
                                                                                                                                         => ( emptyset__Cong
                                                                                                                                           => ( setadjoin__Cong
                                                                                                                                             => ( powerset__Cong
                                                                                                                                               => ( setunion__Cong
                                                                                                                                                 => ( omega__Cong
                                                                                                                                                   => ( exuEu
                                                                                                                                                     => ( descr__Cong
                                                                                                                                                       => ( dsetconstr__Cong
                                                                                                                                                         => ( subsetI1
                                                                                                                                                           => ( eqimpsubset2
                                                                                                                                                             => ( eqimpsubset1
                                                                                                                                                               => ( subsetI2
                                                                                                                                                                 => ( emptysetsubset
                                                                                                                                                                   => ( subsetE
                                                                                                                                                                     => ( subsetE2
                                                                                                                                                                       => ( notsubsetI
                                                                                                                                                                         => ( notequalI1
                                                                                                                                                                           => ( notequalI2
                                                                                                                                                                             => ( subsetRefl
                                                                                                                                                                               => ( subsetTrans
                                                                                                                                                                                 => ( setadjoinSub
                                                                                                                                                                                   => ( setadjoinSub2
                                                                                                                                                                                     => ( subset2powerset
                                                                                                                                                                                       => ( setextsub
                                                                                                                                                                                         => ( subsetemptysetimpeq
                                                                                                                                                                                           => ( powersetI1
                                                                                                                                                                                             => ( powersetE1
                                                                                                                                                                                               => ( inPowerset
                                                                                                                                                                                                 => ( powersetsubset
                                                                                                                                                                                                   => ( sepInPowerset
                                                                                                                                                                                                     => ( sepSubset
                                                                                                                                                                                                       => ( binunionIL
                                                                                                                                                                                                         => ( upairset2IR
                                                                                                                                                                                                           => ( binunionIR
                                                                                                                                                                                                             => ( binunionEcases
                                                                                                                                                                                                               => ( binunionE
                                                                                                                                                                                                                 => ( binunionLsub
                                                                                                                                                                                                                   => ( binunionRsub
                                                                                                                                                                                                                     => ( binintersectI
                                                                                                                                                                                                                       => ( binintersectSubset5
                                                                                                                                                                                                                         => ( binintersectEL
                                                                                                                                                                                                                           => ( binintersectLsub
                                                                                                                                                                                                                             => ( binintersectSubset2
                                                                                                                                                                                                                               => ( binintersectSubset3
                                                                                                                                                                                                                                 => ( binintersectER
                                                                                                                                                                                                                                   => ( disjointsetsI1
                                                                                                                                                                                                                                     => ( binintersectRsub
                                                                                                                                                                                                                                       => ( binintersectSubset4
                                                                                                                                                                                                                                         => ( binintersectSubset1
                                                                                                                                                                                                                                           => ( bs114d
                                                                                                                                                                                                                                             => ( setminusI
                                                                                                                                                                                                                                               => ( setminusEL
                                                                                                                                                                                                                                                 => ( setminusER
                                                                                                                                                                                                                                                   => ! [X0: $i,X1: $i] :
                                                                                                                                                                                                                                                        ( ( subset @ X0 @ X1 )
                                                                                                                                                                                                                                                       => ( ( setminus @ X0 @ X1 )
                                                                                                                                                                                                                                                          = emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f123]) ).

thf(f168,plain,
    ( setminusER
    = ( ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ X2 @ ( setminus @ X1 @ X0 ) )
         => ~ ( in @ X2 @ X0 ) ) ) ),
    inference(rectify,[],[f122]) ).

thf(f169,plain,
    ( setminusER
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
                 => ~ ( in @ Y0 @ Y2 ) ) ) ) ) ),
    inference(fool_elimination,[],[f168]) ).

thf(f229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( in @ X0 @ X1 )
       => ( ~ ( in @ X0 @ X2 )
         => ~ ( subset @ X1 @ X2 ) ) )
      = notsubsetI ),
    inference(rectify,[],[f85]) ).

thf(f230,plain,
    ( notsubsetI
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y1 )
                 => ( ~ ( in @ Y2 @ Y0 )
                   => ~ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f229]) ).

thf(f287,plain,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ( exu__Cong
                                                                                                                                         => ( emptyset__Cong
                                                                                                                                           => ( setadjoin__Cong
                                                                                                                                             => ( powerset__Cong
                                                                                                                                               => ( setunion__Cong
                                                                                                                                                 => ( omega__Cong
                                                                                                                                                   => ( exuEu
                                                                                                                                                     => ( descr__Cong
                                                                                                                                                       => ( dsetconstr__Cong
                                                                                                                                                         => ( subsetI1
                                                                                                                                                           => ( eqimpsubset2
                                                                                                                                                             => ( eqimpsubset1
                                                                                                                                                               => ( subsetI2
                                                                                                                                                                 => ( emptysetsubset
                                                                                                                                                                   => ( subsetE
                                                                                                                                                                     => ( subsetE2
                                                                                                                                                                       => ( notsubsetI
                                                                                                                                                                         => ( notequalI1
                                                                                                                                                                           => ( notequalI2
                                                                                                                                                                             => ( subsetRefl
                                                                                                                                                                               => ( subsetTrans
                                                                                                                                                                                 => ( setadjoinSub
                                                                                                                                                                                   => ( setadjoinSub2
                                                                                                                                                                                     => ( subset2powerset
                                                                                                                                                                                       => ( setextsub
                                                                                                                                                                                         => ( subsetemptysetimpeq
                                                                                                                                                                                           => ( powersetI1
                                                                                                                                                                                             => ( powersetE1
                                                                                                                                                                                               => ( inPowerset
                                                                                                                                                                                                 => ( powersetsubset
                                                                                                                                                                                                   => ( sepInPowerset
                                                                                                                                                                                                     => ( sepSubset
                                                                                                                                                                                                       => ( binunionIL
                                                                                                                                                                                                         => ( upairset2IR
                                                                                                                                                                                                           => ( binunionIR
                                                                                                                                                                                                             => ( binunionEcases
                                                                                                                                                                                                               => ( binunionE
                                                                                                                                                                                                                 => ( binunionLsub
                                                                                                                                                                                                                   => ( binunionRsub
                                                                                                                                                                                                                     => ( binintersectI
                                                                                                                                                                                                                       => ( binintersectSubset5
                                                                                                                                                                                                                         => ( binintersectEL
                                                                                                                                                                                                                           => ( binintersectLsub
                                                                                                                                                                                                                             => ( binintersectSubset2
                                                                                                                                                                                                                               => ( binintersectSubset3
                                                                                                                                                                                                                                 => ( binintersectER
                                                                                                                                                                                                                                   => ( disjointsetsI1
                                                                                                                                                                                                                                     => ( binintersectRsub
                                                                                                                                                                                                                                       => ( binintersectSubset4
                                                                                                                                                                                                                                         => ( binintersectSubset1
                                                                                                                                                                                                                                           => ( bs114d
                                                                                                                                                                                                                                             => ( setminusI
                                                                                                                                                                                                                                               => ( setminusEL
                                                                                                                                                                                                                                                 => ( setminusER
                                                                                                                                                                                                                                                   => ! [X0: $i,X1: $i] :
                                                                                                                                                                                                                                                        ( ( subset @ X0 @ X1 )
                                                                                                                                                                                                                                                       => ( ( setminus @ X0 @ X1 )
                                                                                                                                                                                                                                                          = emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f124]) ).

thf(f288,plain,
    ~ ( ( setextAx = $true )
     => ( ( emptysetAx = $true )
       => ( ( setadjoinAx = $true )
         => ( ( powersetAx = $true )
           => ( ( setunionAx = $true )
             => ( ( omega0Ax = $true )
               => ( ( omegaSAx = $true )
                 => ( ( omegaIndAx = $true )
                   => ( ( replAx = $true )
                     => ( ( foundationAx = $true )
                       => ( ( wellorderingAx = $true )
                         => ( ( descrp = $true )
                           => ( ( dsetconstrI = $true )
                             => ( ( dsetconstrEL = $true )
                               => ( ( dsetconstrER = $true )
                                 => ( ( exuE1 = $true )
                                   => ( ( prop2setE = $true )
                                     => ( ( emptysetE = $true )
                                       => ( ( emptysetimpfalse = $true )
                                         => ( ( notinemptyset = $true )
                                           => ( ( exuE3e = $true )
                                             => ( ( setext = $true )
                                               => ( ( emptyI = $true )
                                                 => ( ( noeltsimpempty = $true )
                                                   => ( ( setbeta = $true )
                                                     => ( ( nonemptyE1 = $true )
                                                       => ( ( nonemptyI = $true )
                                                         => ( ( nonemptyI1 = $true )
                                                           => ( ( setadjoinIL = $true )
                                                             => ( ( emptyinunitempty = $true )
                                                               => ( ( setadjoinIR = $true )
                                                                 => ( ( setadjoinE = $true )
                                                                   => ( ( setadjoinOr = $true )
                                                                     => ( ( setoftrueEq = $true )
                                                                       => ( ( powersetI = $true )
                                                                         => ( ( emptyinPowerset = $true )
                                                                           => ( ( emptyInPowerset = $true )
                                                                             => ( ( powersetE = $true )
                                                                               => ( ( setunionI = $true )
                                                                                 => ( ( setunionE = $true )
                                                                                   => ( ( subPowSU = $true )
                                                                                     => ( ( exuE2 = $true )
                                                                                       => ( ( nonemptyImpWitness = $true )
                                                                                         => ( ( uniqinunit = $true )
                                                                                           => ( ( notinsingleton = $true )
                                                                                             => ( ( eqinunit = $true )
                                                                                               => ( ( singletonsswitch = $true )
                                                                                                 => ( ( upairsetE = $true )
                                                                                                   => ( ( upairsetIL = $true )
                                                                                                     => ( ( upairsetIR = $true )
                                                                                                       => ( ( emptyE1 = $true )
                                                                                                         => ( ( vacuousDall = $true )
                                                                                                           => ( ( quantDeMorgan1 = $true )
                                                                                                             => ( ( quantDeMorgan2 = $true )
                                                                                                               => ( ( quantDeMorgan3 = $true )
                                                                                                                 => ( ( quantDeMorgan4 = $true )
                                                                                                                   => ( ( prop2setI = $true )
                                                                                                                     => ( ( prop2set2propI = $true )
                                                                                                                       => ( ( notdexE = $true )
                                                                                                                         => ( ( notdallE = $true )
                                                                                                                           => ( ( exuI1 = $true )
                                                                                                                             => ( ( exuI3 = $true )
                                                                                                                               => ( ( exuI2 = $true )
                                                                                                                                 => ( ( inCongP = $true )
                                                                                                                                   => ( ( in__Cong = $true )
                                                                                                                                     => ( ( exuE3u = $true )
                                                                                                                                       => ( ( exu__Cong = $true )
                                                                                                                                         => ( ( emptyset__Cong = $true )
                                                                                                                                           => ( ( setadjoin__Cong = $true )
                                                                                                                                             => ( ( powerset__Cong = $true )
                                                                                                                                               => ( ( setunion__Cong = $true )
                                                                                                                                                 => ( ( omega__Cong = $true )
                                                                                                                                                   => ( ( exuEu = $true )
                                                                                                                                                     => ( ( descr__Cong = $true )
                                                                                                                                                       => ( ( dsetconstr__Cong = $true )
                                                                                                                                                         => ( ( subsetI1 = $true )
                                                                                                                                                           => ( ( eqimpsubset2 = $true )
                                                                                                                                                             => ( ( eqimpsubset1 = $true )
                                                                                                                                                               => ( ( subsetI2 = $true )
                                                                                                                                                                 => ( ( emptysetsubset = $true )
                                                                                                                                                                   => ( ( subsetE = $true )
                                                                                                                                                                     => ( ( subsetE2 = $true )
                                                                                                                                                                       => ( ( notsubsetI = $true )
                                                                                                                                                                         => ( ( notequalI1 = $true )
                                                                                                                                                                           => ( ( notequalI2 = $true )
                                                                                                                                                                             => ( ( subsetRefl = $true )
                                                                                                                                                                               => ( ( subsetTrans = $true )
                                                                                                                                                                                 => ( ( setadjoinSub = $true )
                                                                                                                                                                                   => ( ( setadjoinSub2 = $true )
                                                                                                                                                                                     => ( ( subset2powerset = $true )
                                                                                                                                                                                       => ( ( setextsub = $true )
                                                                                                                                                                                         => ( ( subsetemptysetimpeq = $true )
                                                                                                                                                                                           => ( ( powersetI1 = $true )
                                                                                                                                                                                             => ( ( powersetE1 = $true )
                                                                                                                                                                                               => ( ( inPowerset = $true )
                                                                                                                                                                                                 => ( ( powersetsubset = $true )
                                                                                                                                                                                                   => ( ( sepInPowerset = $true )
                                                                                                                                                                                                     => ( ( sepSubset = $true )
                                                                                                                                                                                                       => ( ( binunionIL = $true )
                                                                                                                                                                                                         => ( ( upairset2IR = $true )
                                                                                                                                                                                                           => ( ( binunionIR = $true )
                                                                                                                                                                                                             => ( ( binunionEcases = $true )
                                                                                                                                                                                                               => ( ( binunionE = $true )
                                                                                                                                                                                                                 => ( ( binunionLsub = $true )
                                                                                                                                                                                                                   => ( ( binunionRsub = $true )
                                                                                                                                                                                                                     => ( ( binintersectI = $true )
                                                                                                                                                                                                                       => ( ( binintersectSubset5 = $true )
                                                                                                                                                                                                                         => ( ( binintersectEL = $true )
                                                                                                                                                                                                                           => ( ( binintersectLsub = $true )
                                                                                                                                                                                                                             => ( ( binintersectSubset2 = $true )
                                                                                                                                                                                                                               => ( ( binintersectSubset3 = $true )
                                                                                                                                                                                                                                 => ( ( binintersectER = $true )
                                                                                                                                                                                                                                   => ( ( disjointsetsI1 = $true )
                                                                                                                                                                                                                                     => ( ( binintersectRsub = $true )
                                                                                                                                                                                                                                       => ( ( binintersectSubset4 = $true )
                                                                                                                                                                                                                                         => ( ( binintersectSubset1 = $true )
                                                                                                                                                                                                                                           => ( ( bs114d = $true )
                                                                                                                                                                                                                                             => ( ( setminusI = $true )
                                                                                                                                                                                                                                               => ( ( setminusEL = $true )
                                                                                                                                                                                                                                                 => ( ( setminusER = $true )
                                                                                                                                                                                                                                                   => ! [X1: $i,X0: $i] :
                                                                                                                                                                                                                                                        ( ( ( subset @ X0 @ X1 )
                                                                                                                                                                                                                                                          = $true )
                                                                                                                                                                                                                                                       => ( emptyset
                                                                                                                                                                                                                                                          = ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f287]) ).

thf(f323,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( in @ X0 @ ( setminus @ X1 @ X2 ) )
       => ( in @ X0 @ X1 ) )
      = setminusEL ),
    inference(rectify,[],[f121]) ).

thf(f324,plain,
    ( setminusEL
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
                 => ( in @ Y2 @ Y1 ) ) ) ) ) ),
    inference(fool_elimination,[],[f323]) ).

thf(f329,plain,
    ( emptyI
    = ( ! [X0: $i] :
          ( ! [X1: $i] :
              ~ ( in @ X1 @ X0 )
         => ( X0 = emptyset ) ) ) ),
    inference(rectify,[],[f24]) ).

thf(f330,plain,
    ( emptyI
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( !! @ $i
            @ ^ [Y1: $i] :
                ~ ( in @ Y1 @ Y0 ) )
         => ( emptyset = Y0 ) ) ) ),
    inference(fool_elimination,[],[f329]) ).

thf(f364,plain,
    ( ? [X0: $i,X1: $i] :
        ( ( emptyset
         != ( setminus @ X0 @ X1 ) )
        & ( ( subset @ X0 @ X1 )
          = $true ) )
    & ( setminusER = $true )
    & ( setminusEL = $true )
    & ( setminusI = $true )
    & ( bs114d = $true )
    & ( binintersectSubset1 = $true )
    & ( binintersectSubset4 = $true )
    & ( binintersectRsub = $true )
    & ( disjointsetsI1 = $true )
    & ( binintersectER = $true )
    & ( binintersectSubset3 = $true )
    & ( binintersectSubset2 = $true )
    & ( binintersectLsub = $true )
    & ( binintersectEL = $true )
    & ( binintersectSubset5 = $true )
    & ( binintersectI = $true )
    & ( binunionRsub = $true )
    & ( binunionLsub = $true )
    & ( binunionE = $true )
    & ( binunionEcases = $true )
    & ( binunionIR = $true )
    & ( upairset2IR = $true )
    & ( binunionIL = $true )
    & ( sepSubset = $true )
    & ( sepInPowerset = $true )
    & ( powersetsubset = $true )
    & ( inPowerset = $true )
    & ( powersetE1 = $true )
    & ( powersetI1 = $true )
    & ( subsetemptysetimpeq = $true )
    & ( setextsub = $true )
    & ( subset2powerset = $true )
    & ( setadjoinSub2 = $true )
    & ( setadjoinSub = $true )
    & ( subsetTrans = $true )
    & ( subsetRefl = $true )
    & ( notequalI2 = $true )
    & ( notequalI1 = $true )
    & ( notsubsetI = $true )
    & ( subsetE2 = $true )
    & ( subsetE = $true )
    & ( emptysetsubset = $true )
    & ( subsetI2 = $true )
    & ( eqimpsubset1 = $true )
    & ( eqimpsubset2 = $true )
    & ( subsetI1 = $true )
    & ( dsetconstr__Cong = $true )
    & ( descr__Cong = $true )
    & ( exuEu = $true )
    & ( omega__Cong = $true )
    & ( setunion__Cong = $true )
    & ( powerset__Cong = $true )
    & ( setadjoin__Cong = $true )
    & ( emptyset__Cong = $true )
    & ( exu__Cong = $true )
    & ( exuE3u = $true )
    & ( in__Cong = $true )
    & ( inCongP = $true )
    & ( exuI2 = $true )
    & ( exuI3 = $true )
    & ( exuI1 = $true )
    & ( notdallE = $true )
    & ( notdexE = $true )
    & ( prop2set2propI = $true )
    & ( prop2setI = $true )
    & ( quantDeMorgan4 = $true )
    & ( quantDeMorgan3 = $true )
    & ( quantDeMorgan2 = $true )
    & ( quantDeMorgan1 = $true )
    & ( vacuousDall = $true )
    & ( emptyE1 = $true )
    & ( upairsetIR = $true )
    & ( upairsetIL = $true )
    & ( upairsetE = $true )
    & ( singletonsswitch = $true )
    & ( eqinunit = $true )
    & ( notinsingleton = $true )
    & ( uniqinunit = $true )
    & ( nonemptyImpWitness = $true )
    & ( exuE2 = $true )
    & ( subPowSU = $true )
    & ( setunionE = $true )
    & ( setunionI = $true )
    & ( powersetE = $true )
    & ( emptyInPowerset = $true )
    & ( emptyinPowerset = $true )
    & ( powersetI = $true )
    & ( setoftrueEq = $true )
    & ( setadjoinOr = $true )
    & ( setadjoinE = $true )
    & ( setadjoinIR = $true )
    & ( emptyinunitempty = $true )
    & ( setadjoinIL = $true )
    & ( nonemptyI1 = $true )
    & ( nonemptyI = $true )
    & ( nonemptyE1 = $true )
    & ( setbeta = $true )
    & ( noeltsimpempty = $true )
    & ( emptyI = $true )
    & ( setext = $true )
    & ( exuE3e = $true )
    & ( notinemptyset = $true )
    & ( emptysetimpfalse = $true )
    & ( emptysetE = $true )
    & ( prop2setE = $true )
    & ( exuE1 = $true )
    & ( dsetconstrER = $true )
    & ( dsetconstrEL = $true )
    & ( dsetconstrI = $true )
    & ( descrp = $true )
    & ( wellorderingAx = $true )
    & ( foundationAx = $true )
    & ( replAx = $true )
    & ( omegaIndAx = $true )
    & ( omegaSAx = $true )
    & ( omega0Ax = $true )
    & ( setunionAx = $true )
    & ( powersetAx = $true )
    & ( setadjoinAx = $true )
    & ( emptysetAx = $true )
    & ( setextAx = $true ) ),
    inference(ennf_transformation,[],[f288]) ).

thf(f365,plain,
    ( ( quantDeMorgan3 = $true )
    & ( subPowSU = $true )
    & ( exuE3e = $true )
    & ( exuE2 = $true )
    & ( bs114d = $true )
    & ( eqimpsubset1 = $true )
    & ( setadjoinOr = $true )
    & ( setadjoin__Cong = $true )
    & ( notinsingleton = $true )
    & ( powersetE1 = $true )
    & ( binunionE = $true )
    & ( setadjoinAx = $true )
    & ( noeltsimpempty = $true )
    & ( notdexE = $true )
    & ( nonemptyI1 = $true )
    & ( binintersectSubset1 = $true )
    & ( binunionIR = $true )
    & ( binintersectSubset2 = $true )
    & ( inPowerset = $true )
    & ( exuI2 = $true )
    & ( disjointsetsI1 = $true )
    & ( exuI1 = $true )
    & ( binintersectSubset5 = $true )
    & ( inCongP = $true )
    & ( singletonsswitch = $true )
    & ( setadjoinSub = $true )
    & ( powersetI1 = $true )
    & ( eqimpsubset2 = $true )
    & ( prop2setE = $true )
    & ( descrp = $true )
    & ( notequalI1 = $true )
    & ( omega__Cong = $true )
    & ( foundationAx = $true )
    & ( prop2setI = $true )
    & ( binintersectSubset4 = $true )
    & ( setextAx = $true )
    & ( setminusI = $true )
    & ( setminusEL = $true )
    & ( emptyset__Cong = $true )
    & ( emptyinunitempty = $true )
    & ( binunionRsub = $true )
    & ( setunionAx = $true )
    & ( setext = $true )
    & ( setunion__Cong = $true )
    & ( binintersectEL = $true )
    & ( omegaIndAx = $true )
    & ( binintersectLsub = $true )
    & ( powersetE = $true )
    & ( emptysetAx = $true )
    & ( subset2powerset = $true )
    & ( nonemptyI = $true )
    & ( binintersectSubset3 = $true )
    & ( exu__Cong = $true )
    & ( setminusER = $true )
    & ( dsetconstrER = $true )
    & ( setunionE = $true )
    & ( binintersectI = $true )
    & ( subsetE2 = $true )
    & ( powerset__Cong = $true )
    & ( setadjoinSub2 = $true )
    & ( emptyInPowerset = $true )
    & ( subsetI2 = $true )
    & ( dsetconstr__Cong = $true )
    & ( emptysetE = $true )
    & ( setadjoinIL = $true )
    & ( binunionEcases = $true )
    & ( uniqinunit = $true )
    & ( binintersectRsub = $true )
    & ( quantDeMorgan1 = $true )
    & ( exuEu = $true )
    & ( exuE3u = $true )
    & ( subsetTrans = $true )
    & ( quantDeMorgan4 = $true )
    & ( descr__Cong = $true )
    & ( binintersectER = $true )
    & ( omegaSAx = $true )
    & ( emptysetimpfalse = $true )
    & ( upairsetIR = $true )
    & ( emptyE1 = $true )
    & ? [X0: $i,X1: $i] :
        ( ( emptyset
         != ( setminus @ X0 @ X1 ) )
        & ( ( subset @ X0 @ X1 )
          = $true ) )
    & ( quantDeMorgan2 = $true )
    & ( emptysetsubset = $true )
    & ( upairset2IR = $true )
    & ( setadjoinIR = $true )
    & ( powersetI = $true )
    & ( nonemptyImpWitness = $true )
    & ( setextsub = $true )
    & ( setbeta = $true )
    & ( dsetconstrI = $true )
    & ( exuI3 = $true )
    & ( nonemptyE1 = $true )
    & ( subsetRefl = $true )
    & ( prop2set2propI = $true )
    & ( setunionI = $true )
    & ( sepSubset = $true )
    & ( setadjoinE = $true )
    & ( omega0Ax = $true )
    & ( subsetI1 = $true )
    & ( subsetE = $true )
    & ( emptyinPowerset = $true )
    & ( upairsetE = $true )
    & ( in__Cong = $true )
    & ( wellorderingAx = $true )
    & ( notdallE = $true )
    & ( dsetconstrEL = $true )
    & ( replAx = $true )
    & ( setoftrueEq = $true )
    & ( eqinunit = $true )
    & ( powersetsubset = $true )
    & ( emptyI = $true )
    & ( notinemptyset = $true )
    & ( subsetemptysetimpeq = $true )
    & ( vacuousDall = $true )
    & ( sepInPowerset = $true )
    & ( upairsetIL = $true )
    & ( binunionLsub = $true )
    & ( binunionIL = $true )
    & ( notsubsetI = $true )
    & ( powersetAx = $true )
    & ( notequalI2 = $true )
    & ( exuE1 = $true ) ),
    inference(flattening,[],[f364]) ).

thf(f366,plain,
    ( ( quantDeMorgan3 = $true )
    & ( subPowSU = $true )
    & ( exuE3e = $true )
    & ( exuE2 = $true )
    & ( bs114d = $true )
    & ( eqimpsubset1 = $true )
    & ( setadjoinOr = $true )
    & ( setadjoin__Cong = $true )
    & ( notinsingleton = $true )
    & ( powersetE1 = $true )
    & ( binunionE = $true )
    & ( setadjoinAx = $true )
    & ( noeltsimpempty = $true )
    & ( notdexE = $true )
    & ( nonemptyI1 = $true )
    & ( binintersectSubset1 = $true )
    & ( binunionIR = $true )
    & ( binintersectSubset2 = $true )
    & ( inPowerset = $true )
    & ( exuI2 = $true )
    & ( disjointsetsI1 = $true )
    & ( exuI1 = $true )
    & ( binintersectSubset5 = $true )
    & ( inCongP = $true )
    & ( singletonsswitch = $true )
    & ( setadjoinSub = $true )
    & ( powersetI1 = $true )
    & ( eqimpsubset2 = $true )
    & ( prop2setE = $true )
    & ( descrp = $true )
    & ( notequalI1 = $true )
    & ( omega__Cong = $true )
    & ( foundationAx = $true )
    & ( prop2setI = $true )
    & ( binintersectSubset4 = $true )
    & ( setextAx = $true )
    & ( setminusI = $true )
    & ( setminusEL = $true )
    & ( emptyset__Cong = $true )
    & ( emptyinunitempty = $true )
    & ( binunionRsub = $true )
    & ( setunionAx = $true )
    & ( setext = $true )
    & ( setunion__Cong = $true )
    & ( binintersectEL = $true )
    & ( omegaIndAx = $true )
    & ( binintersectLsub = $true )
    & ( powersetE = $true )
    & ( emptysetAx = $true )
    & ( subset2powerset = $true )
    & ( nonemptyI = $true )
    & ( binintersectSubset3 = $true )
    & ( exu__Cong = $true )
    & ( setminusER = $true )
    & ( dsetconstrER = $true )
    & ( setunionE = $true )
    & ( binintersectI = $true )
    & ( subsetE2 = $true )
    & ( powerset__Cong = $true )
    & ( setadjoinSub2 = $true )
    & ( emptyInPowerset = $true )
    & ( subsetI2 = $true )
    & ( dsetconstr__Cong = $true )
    & ( emptysetE = $true )
    & ( setadjoinIL = $true )
    & ( binunionEcases = $true )
    & ( uniqinunit = $true )
    & ( binintersectRsub = $true )
    & ( quantDeMorgan1 = $true )
    & ( exuEu = $true )
    & ( exuE3u = $true )
    & ( subsetTrans = $true )
    & ( quantDeMorgan4 = $true )
    & ( descr__Cong = $true )
    & ( binintersectER = $true )
    & ( omegaSAx = $true )
    & ( emptysetimpfalse = $true )
    & ( upairsetIR = $true )
    & ( emptyE1 = $true )
    & ( emptyset
     != ( setminus @ sK0 @ sK1 ) )
    & ( ( subset @ sK0 @ sK1 )
      = $true )
    & ( quantDeMorgan2 = $true )
    & ( emptysetsubset = $true )
    & ( upairset2IR = $true )
    & ( setadjoinIR = $true )
    & ( powersetI = $true )
    & ( nonemptyImpWitness = $true )
    & ( setextsub = $true )
    & ( setbeta = $true )
    & ( dsetconstrI = $true )
    & ( exuI3 = $true )
    & ( nonemptyE1 = $true )
    & ( subsetRefl = $true )
    & ( prop2set2propI = $true )
    & ( setunionI = $true )
    & ( sepSubset = $true )
    & ( setadjoinE = $true )
    & ( omega0Ax = $true )
    & ( subsetI1 = $true )
    & ( subsetE = $true )
    & ( emptyinPowerset = $true )
    & ( upairsetE = $true )
    & ( in__Cong = $true )
    & ( wellorderingAx = $true )
    & ( notdallE = $true )
    & ( dsetconstrEL = $true )
    & ( replAx = $true )
    & ( setoftrueEq = $true )
    & ( eqinunit = $true )
    & ( powersetsubset = $true )
    & ( emptyI = $true )
    & ( notinemptyset = $true )
    & ( subsetemptysetimpeq = $true )
    & ( vacuousDall = $true )
    & ( sepInPowerset = $true )
    & ( upairsetIL = $true )
    & ( binunionLsub = $true )
    & ( binunionIL = $true )
    & ( notsubsetI = $true )
    & ( powersetAx = $true )
    & ( notequalI2 = $true )
    & ( exuE1 = $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f365]) ).

thf(f384,plain,
    ( emptyI
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( !! @ $i
            @ ^ [Y1: $i] :
                ~ ( in @ Y1 @ Y0 ) )
         => ( emptyset = Y0 ) ) ) ),
    inference(cnf_transformation,[],[f330]) ).

thf(f401,plain,
    ( setminusEL
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
                 => ( in @ Y2 @ Y1 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f324]) ).

thf(f407,plain,
    notsubsetI = $true,
    inference(cnf_transformation,[],[f366]) ).

thf(f415,plain,
    emptyI = $true,
    inference(cnf_transformation,[],[f366]) ).

thf(f445,plain,
    ( ( subset @ sK0 @ sK1 )
    = $true ),
    inference(cnf_transformation,[],[f366]) ).

thf(f446,plain,
    ( emptyset
   != ( setminus @ sK0 @ sK1 ) ),
    inference(cnf_transformation,[],[f366]) ).

thf(f472,plain,
    setminusER = $true,
    inference(cnf_transformation,[],[f366]) ).

thf(f488,plain,
    setminusEL = $true,
    inference(cnf_transformation,[],[f366]) ).

thf(f529,plain,
    ( notsubsetI
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y1 )
                 => ( ~ ( in @ Y2 @ Y0 )
                   => ~ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f230]) ).

thf(f564,plain,
    ( setminusER
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
                 => ~ ( in @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f169]) ).

thf(f630,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( !! @ $i
            @ ^ [Y1: $i] :
                ~ ( in @ Y1 @ Y0 ) )
         => ( emptyset = Y0 ) ) )
    = $true ),
    inference(definition_unfolding,[],[f384,f415]) ).

thf(f646,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
                 => ( in @ Y2 @ Y1 ) ) ) ) ) ),
    inference(definition_unfolding,[],[f401,f488]) ).

thf(f652,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y1 )
                 => ( ~ ( in @ Y2 @ Y0 )
                   => ~ ( subset @ Y1 @ Y0 ) ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f529,f407]) ).

thf(f687,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
                 => ~ ( in @ Y0 @ Y2 ) ) ) ) ) ),
    inference(definition_unfolding,[],[f564,f472]) ).

thf(f762,definition,
    ( sF13
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( !! @ $i
            @ ^ [Y1: $i] :
                ~ ( in @ Y1 @ Y0 ) )
         => ( emptyset = Y0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

thf(f763,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( !! @ $i
            @ ^ [Y1: $i] :
                ~ ( in @ Y1 @ Y0 ) )
         => ( emptyset = Y0 ) ) )
    = sF13 ),
    inference(reorient_equations,[],[f762]) ).

thf(f777,plain,
    sF13 = $true,
    inference(definition_folding,[],[f630,f763]) ).

thf(f814,definition,
    ( sF34
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
                 => ( in @ Y2 @ Y1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).

thf(f815,plain,
    sF34 = $true,
    inference(definition_folding,[],[f646,f814]) ).

thf(f821,definition,
    ( sF37
    = ( setminus @ sK0 @ sK1 ) ),
    introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).

thf(f822,plain,
    emptyset != sF37,
    inference(definition_folding,[],[f446,f821]) ).

thf(f823,definition,
    ( sF38
    = ( subset @ sK0 @ sK1 ) ),
    introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).

thf(f824,plain,
    ( ( subset @ sK0 @ sK1 )
    = sF38 ),
    inference(reorient_equations,[],[f823]) ).

thf(f825,plain,
    $true = sF38,
    inference(definition_folding,[],[f445,f824]) ).

thf(f832,definition,
    ( sF42
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y1 )
                 => ( ~ ( in @ Y2 @ Y0 )
                   => ~ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sF42])],[function_definition]) ).

thf(f833,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y1 )
                 => ( ~ ( in @ Y2 @ Y0 )
                   => ~ ( subset @ Y1 @ Y0 ) ) ) ) ) )
    = sF42 ),
    inference(reorient_equations,[],[f832]) ).

thf(f834,plain,
    $true = sF42,
    inference(definition_folding,[],[f652,f833]) ).

thf(f922,definition,
    ( sF77
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
                 => ~ ( in @ Y0 @ Y2 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sF77])],[function_definition]) ).

thf(f923,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
                 => ~ ( in @ Y0 @ Y2 ) ) ) ) )
    = sF77 ),
    inference(reorient_equations,[],[f922]) ).

thf(f924,plain,
    $true = sF77,
    inference(definition_folding,[],[f687,f923]) ).

thf(f1286,plain,
    ( ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
                   => ~ ( in @ Y0 @ Y2 ) ) ) ) ) )
    | ( $false = sF77 ) ),
    inference(iff_proxy_clausification,[],[f923]) ).

thf(f1297,plain,
    ! [X1: $i] :
      ( ( $false = sF77 )
      | ( $true
        = ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y0 @ ( setminus @ Y1 @ Y2 ) )
                     => ~ ( in @ Y0 @ Y2 ) ) ) )
          @ X1 ) ) ),
    inference(pi_proxy_clausification,[],[f1286]) ).

thf(f1298,plain,
    ! [X1: $i] :
      ( ( $false = sF77 )
      | ( ( !! @ $i
          @ ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ X1 @ ( setminus @ Y0 @ Y1 ) )
                 => ~ ( in @ X1 @ Y1 ) ) ) )
        = $true ) ),
    inference(beta-eta_normalization,[],[f1297]) ).

thf(f1299,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ X1 @ ( setminus @ Y0 @ Y1 ) )
                 => ~ ( in @ X1 @ Y1 ) ) )
          @ X2 )
        = $true )
      | ( $false = sF77 ) ),
    inference(pi_proxy_clausification,[],[f1298]) ).

thf(f1300,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false = sF77 )
      | ( $true
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( in @ X1 @ ( setminus @ X2 @ Y0 ) )
             => ~ ( in @ X1 @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f1299]) ).

thf(f1301,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( $false = sF77 )
      | ( ( ^ [Y0: $i] :
              ( ( in @ X1 @ ( setminus @ X2 @ Y0 ) )
             => ~ ( in @ X1 @ Y0 ) )
          @ X3 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f1300]) ).

thf(f1302,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( ( in @ X1 @ ( setminus @ X2 @ X3 ) )
         => ~ ( in @ X1 @ X3 ) )
        = $true )
      | ( $false = sF77 ) ),
    inference(beta-eta_normalization,[],[f1301]) ).

thf(f1303,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( in @ X1 @ ( setminus @ X2 @ X3 ) )
        = $false )
      | ( $false = sF77 )
      | ( $true
        = ( ~ ( in @ X1 @ X3 ) ) ) ),
    inference(imp_proxy_clausification,[],[f1302]) ).

thf(f1304,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( in @ X1 @ ( setminus @ X2 @ X3 ) )
        = $false )
      | ( $false = sF77 )
      | ( ( in @ X1 @ X3 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f1303]) ).

thf(f1546,plain,
    ( ( ( subset @ sK0 @ sK1 )
      = $true )
    | ( sF38 = $false ) ),
    inference(iff_proxy_clausification,[],[f824]) ).

thf(f5839,plain,
    ( ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ Y1 )
                   => ( ~ ( in @ Y2 @ Y0 )
                     => ~ ( subset @ Y1 @ Y0 ) ) ) ) ) )
      = $true )
    | ( sF42 = $false ) ),
    inference(iff_proxy_clausification,[],[f833]) ).

thf(f5853,plain,
    ! [X1: $i] :
      ( ( sF42 = $false )
      | ( ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y1 )
                     => ( ~ ( in @ Y2 @ Y0 )
                       => ~ ( subset @ Y1 @ Y0 ) ) ) ) )
          @ X1 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f5839]) ).

thf(f5854,plain,
    ! [X1: $i] :
      ( ( ( !! @ $i
          @ ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ Y0 )
                 => ( ~ ( in @ Y1 @ X1 )
                   => ~ ( subset @ Y0 @ X1 ) ) ) ) )
        = $true )
      | ( sF42 = $false ) ),
    inference(beta-eta_normalization,[],[f5853]) ).

thf(f5855,plain,
    ! [X2: $i,X1: $i] :
      ( ( sF42 = $false )
      | ( ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ Y0 )
                 => ( ~ ( in @ Y1 @ X1 )
                   => ~ ( subset @ Y0 @ X1 ) ) ) )
          @ X2 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f5854]) ).

thf(f5856,plain,
    ! [X2: $i,X1: $i] :
      ( ( sF42 = $false )
      | ( $true
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ X2 )
             => ( ~ ( in @ Y0 @ X1 )
               => ~ ( subset @ X2 @ X1 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f5855]) ).

thf(f5857,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( sF42 = $false )
      | ( ( ^ [Y0: $i] :
              ( ( in @ Y0 @ X2 )
             => ( ~ ( in @ Y0 @ X1 )
               => ~ ( subset @ X2 @ X1 ) ) )
          @ X3 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f5856]) ).

thf(f5858,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( ( in @ X3 @ X2 )
         => ( ~ ( in @ X3 @ X1 )
           => ~ ( subset @ X2 @ X1 ) ) )
        = $true )
      | ( sF42 = $false ) ),
    inference(beta-eta_normalization,[],[f5857]) ).

thf(f5859,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( in @ X3 @ X2 )
        = $false )
      | ( ( ~ ( in @ X3 @ X1 )
         => ~ ( subset @ X2 @ X1 ) )
        = $true )
      | ( sF42 = $false ) ),
    inference(imp_proxy_clausification,[],[f5858]) ).

thf(f5860,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( sF42 = $false )
      | ( ( in @ X3 @ X2 )
        = $false )
      | ( ( ~ ( subset @ X2 @ X1 ) )
        = $true )
      | ( ( ~ ( in @ X3 @ X1 ) )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f5859]) ).

thf(f5861,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( sF42 = $false )
      | ( ( in @ X3 @ X2 )
        = $false )
      | ( ( subset @ X2 @ X1 )
        = $false )
      | ( ( ~ ( in @ X3 @ X1 ) )
        = $false ) ),
    inference(not_proxy_clausification,[],[f5860]) ).

thf(f5862,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( sF42 = $false )
      | ( ( in @ X3 @ X2 )
        = $false )
      | ( ( in @ X3 @ X1 )
        = $true )
      | ( ( subset @ X2 @ X1 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f5861]) ).

thf(f5938,plain,
    ( ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( !! @ $i
              @ ^ [Y1: $i] :
                  ~ ( in @ Y1 @ Y0 ) )
           => ( emptyset = Y0 ) ) )
      = $true )
    | ( sF13 = $false ) ),
    inference(iff_proxy_clausification,[],[f763]) ).

thf(f5948,plain,
    ! [X1: $i] :
      ( ( ( ^ [Y0: $i] :
              ( ( !! @ $i
                @ ^ [Y1: $i] :
                    ~ ( in @ Y1 @ Y0 ) )
             => ( emptyset = Y0 ) )
          @ X1 )
        = $true )
      | ( sF13 = $false ) ),
    inference(pi_proxy_clausification,[],[f5938]) ).

thf(f5949,plain,
    ! [X1: $i] :
      ( ( ( ( !! @ $i
            @ ^ [Y0: $i] :
                ~ ( in @ Y0 @ X1 ) )
         => ( emptyset = X1 ) )
        = $true )
      | ( sF13 = $false ) ),
    inference(beta-eta_normalization,[],[f5948]) ).

thf(f5950,plain,
    ! [X1: $i] :
      ( ( sF13 = $false )
      | ( ( !! @ $i
          @ ^ [Y0: $i] :
              ~ ( in @ Y0 @ X1 ) )
        = $false )
      | ( ( emptyset = X1 )
        = $true ) ),
    inference(imp_proxy_clausification,[],[f5949]) ).

thf(f5951,plain,
    ! [X1: $i] :
      ( ( sF13 = $false )
      | ( ( ^ [Y0: $i] :
              ~ ( in @ Y0 @ X1 )
          @ ( sK702 @ X1 ) )
        = $false )
      | ( ( emptyset = X1 )
        = $true ) ),
    inference(sigma_proxy_clausification,[],[f5950]) ).

thf(f5952,plain,
    ! [X1: $i] :
      ( ( emptyset = X1 )
      | ( ( ^ [Y0: $i] :
              ~ ( in @ Y0 @ X1 )
          @ ( sK702 @ X1 ) )
        = $false )
      | ( sF13 = $false ) ),
    inference(equality_proxy_clausification,[],[f5951]) ).

thf(f5953,plain,
    ! [X1: $i] :
      ( ( sF13 = $false )
      | ( ( ~ ( in @ ( sK702 @ X1 ) @ X1 ) )
        = $false )
      | ( emptyset = X1 ) ),
    inference(beta-eta_normalization,[],[f5952]) ).

thf(f5954,plain,
    ! [X1: $i] :
      ( ( emptyset = X1 )
      | ( sF13 = $false )
      | ( $true
        = ( in @ ( sK702 @ X1 ) @ X1 ) ) ),
    inference(not_proxy_clausification,[],[f5953]) ).

thf(f6375,plain,
    ( ( sF34 = $false )
    | ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
                   => ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
    inference(iff_proxy_clausification,[],[f814]) ).

thf(f6376,plain,
    ! [X1: $i] :
      ( ( ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ ( setminus @ Y1 @ Y0 ) )
                     => ( in @ Y2 @ Y1 ) ) ) )
          @ X1 )
        = $true )
      | ( sF34 = $false ) ),
    inference(pi_proxy_clausification,[],[f6375]) ).

thf(f6377,plain,
    ! [X1: $i] :
      ( ( sF34 = $false )
      | ( ( !! @ $i
          @ ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ ( setminus @ Y0 @ X1 ) )
                 => ( in @ Y1 @ Y0 ) ) ) )
        = $true ) ),
    inference(beta-eta_normalization,[],[f6376]) ).

thf(f6378,plain,
    ! [X2: $i,X1: $i] :
      ( ( sF34 = $false )
      | ( ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ ( setminus @ Y0 @ X1 ) )
                 => ( in @ Y1 @ Y0 ) ) )
          @ X2 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f6377]) ).

thf(f6379,plain,
    ! [X2: $i,X1: $i] :
      ( ( sF34 = $false )
      | ( ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ ( setminus @ X2 @ X1 ) )
             => ( in @ Y0 @ X2 ) ) )
        = $true ) ),
    inference(beta-eta_normalization,[],[f6378]) ).

thf(f6380,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( ^ [Y0: $i] :
              ( ( in @ Y0 @ ( setminus @ X2 @ X1 ) )
             => ( in @ Y0 @ X2 ) )
          @ X3 )
        = $true )
      | ( sF34 = $false ) ),
    inference(pi_proxy_clausification,[],[f6379]) ).

thf(f6381,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( sF34 = $false )
      | ( ( ( in @ X3 @ ( setminus @ X2 @ X1 ) )
         => ( in @ X3 @ X2 ) )
        = $true ) ),
    inference(beta-eta_normalization,[],[f6380]) ).

thf(f6382,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( sF34 = $false )
      | ( ( in @ X3 @ X2 )
        = $true )
      | ( ( in @ X3 @ ( setminus @ X2 @ X1 ) )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f6381]) ).

thf(f6731,plain,
    ( ( $true = $false )
    | ( ( subset @ sK0 @ sK1 )
      = $true ) ),
    inference(forward_demodulation,[],[f1546,f825]) ).

thf(f6732,plain,
    ( ( subset @ sK0 @ sK1 )
    = $true ),
    inference(trivial_inequality_removal,[],[f6731]) ).

thf(f6779,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( in @ X3 @ X2 )
        = $false )
      | ( ( subset @ X2 @ X1 )
        = $false )
      | ( ( in @ X3 @ X1 )
        = $true )
      | ( $true = $false ) ),
    inference(forward_demodulation,[],[f5862,f834]) ).

thf(f6780,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( in @ X3 @ X1 )
        = $true )
      | ( ( subset @ X2 @ X1 )
        = $false )
      | ( ( in @ X3 @ X2 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f6779]) ).

thf(f6787,plain,
    ! [X1: $i] :
      ( ( emptyset = X1 )
      | ( $true
        = ( in @ ( sK702 @ X1 ) @ X1 ) )
      | ( $true = $false ) ),
    inference(forward_demodulation,[],[f5954,f777]) ).

thf(f6788,plain,
    ! [X1: $i] :
      ( ( $true
        = ( in @ ( sK702 @ X1 ) @ X1 ) )
      | ( emptyset = X1 ) ),
    inference(trivial_inequality_removal,[],[f6787]) ).

thf(f6835,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( $true = $false )
      | ( ( in @ X3 @ ( setminus @ X2 @ X1 ) )
        = $false )
      | ( ( in @ X3 @ X2 )
        = $true ) ),
    inference(forward_demodulation,[],[f6382,f815]) ).

thf(f6836,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( in @ X3 @ ( setminus @ X2 @ X1 ) )
        = $false )
      | ( ( in @ X3 @ X2 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f6835]) ).

thf(f7137,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true = $false )
      | ( $true
        = ( in @ ( sK702 @ ( setminus @ X0 @ X1 ) ) @ X0 ) )
      | ( emptyset
        = ( setminus @ X0 @ X1 ) ) ),
    inference(constrained_superposition,[],[f6836,f6788]) ).

thf(f7143,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( in @ ( sK702 @ ( setminus @ X0 @ X1 ) ) @ X0 ) )
      | ( emptyset
        = ( setminus @ X0 @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f7137]) ).

thf(f7311,plain,
    ! [X0: $i] :
      ( ( $true
        = ( in @ X0 @ sK1 ) )
      | ( ( in @ X0 @ sK0 )
        = $false )
      | ( $true = $false ) ),
    inference(constrained_superposition,[],[f6732,f6780]) ).

thf(f7339,plain,
    ! [X0: $i] :
      ( ( $true
        = ( in @ X0 @ sK1 ) )
      | ( ( in @ X0 @ sK0 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f7311]) ).

thf(f9726,plain,
    ! [X0: $i,X1: $i] :
      ( ( emptyset
        = ( setminus @ X0 @ X1 ) )
      | ( ( in @ ( sK702 @ ( setminus @ X0 @ X1 ) ) @ X1 )
        = $false )
      | ( $true = $false )
      | ( $false = sF77 ) ),
    inference(constrained_superposition,[],[f1304,f6788]) ).

thf(f9742,plain,
    ! [X0: $i,X1: $i] :
      ( ( emptyset
        = ( setminus @ X0 @ X1 ) )
      | ( ( in @ ( sK702 @ ( setminus @ X0 @ X1 ) ) @ X1 )
        = $false )
      | ( $false = sF77 ) ),
    inference(trivial_inequality_removal,[],[f9726]) ).

thf(f9763,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( in @ ( sK702 @ ( setminus @ X0 @ X1 ) ) @ X1 )
        = $false )
      | ( $true = $false )
      | ( emptyset
        = ( setminus @ X0 @ X1 ) ) ),
    inference(forward_demodulation,[],[f9742,f924]) ).

thf(f9764,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( in @ ( sK702 @ ( setminus @ X0 @ X1 ) ) @ X1 )
        = $false )
      | ( emptyset
        = ( setminus @ X0 @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f9763]) ).

thf(f30601,plain,
    ( ( emptyset = sF37 )
    | ( $true
      = ( in @ ( sK702 @ sF37 ) @ sK0 ) ) ),
    inference(constrained_superposition,[],[f7143,f821]) ).

thf(f30864,plain,
    ( $true
    = ( in @ ( sK702 @ sF37 ) @ sK0 ) ),
    inference(forward_subsumption_resolution,[],[f30601,f822]) ).

thf(f32211,plain,
    ( ( ( in @ ( sK702 @ sF37 ) @ sK1 )
      = $false )
    | ( emptyset = sF37 ) ),
    inference(constrained_superposition,[],[f9764,f821]) ).

thf(f32413,plain,
    ( ( in @ ( sK702 @ sF37 ) @ sK1 )
    = $false ),
    inference(forward_subsumption_resolution,[],[f32211,f822]) ).

thf(f33460,plain,
    ( ( $false
      = ( in @ ( sK702 @ sF37 ) @ sK0 ) )
    | ( $true = $false ) ),
    inference(constrained_superposition,[],[f7339,f32413]) ).

thf(f33476,plain,
    ( $false
    = ( in @ ( sK702 @ sF37 ) @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f33460]) ).

thf(f38498,plain,
    $true = $false,
    inference(constrained_superposition,[],[f33476,f30864]) ).

thf(f38560,plain,
    $false,
    inference(trivial_inequality_removal,[],[f38498]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU604^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n016.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 14:02:05 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.90/1.00  % (400787)Will run a generic schedule for satisfiability detection.
% 3.90/1.00  % (400811)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3593905044:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.90/1.00  % (400808)% WARNING: option uhcvi not known.
% 3.90/1.00  % (400811)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.90/1.00  % (400809)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4192785387:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.90/1.00  % (400807)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3362779053_2999 on theBenchmark for (2999ds/0Mi)
% 3.90/1.00  % (400808)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=773524703:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.90/1.00  % (400810)dis+10_1_sil=32000:sp=arity:random_seed=1278032506:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.90/1.00  % (400812)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1676214282:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.90/1.00  % (400813)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2317905155:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.90/1.00  % (400808)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.90/1.00  % Exception at run slice level
% 3.90/1.00  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.90/1.00  % (400808)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.90/1.00  % (400811)Instruction limit reached! 
% 3.90/1.00  % (400811)------------------------------
% 3.90/1.00  % (400811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00  % (400811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00  % (400811)CaDiCaL version: 2.1.3
% 3.90/1.00  % (400811)Termination reason: Instruction limit
% 3.90/1.00  % (400811)Termination phase: Saturation
% 3.90/1.00  % (400811)Time elapsed: 0.029 s
% 3.90/1.00  % (400811)Peak memory usage: 13 MB
% 3.90/1.00  % (400811)Instructions burned: 118 (million)
% 3.90/1.00  % (400839)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1275334332:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.90/1.00  % (400838)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1240700127:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.90/1.00  % (400810)Instruction limit reached! 
% 3.90/1.00  % (400810)------------------------------
% 3.90/1.00  % (400810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00  % (400810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00  % (400810)CaDiCaL version: 2.1.3
% 3.90/1.00  % (400810)Termination reason: Instruction limit
% 3.90/1.00  % (400810)Termination phase: Saturation
% 3.90/1.00  % (400810)Time elapsed: 0.048 s
% 3.90/1.00  % (400810)Peak memory usage: 13 MB
% 3.90/1.00  % (400810)Instructions burned: 104 (million)
% 3.90/1.00  % Exception at run slice level
% 3.90/1.00  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.90/1.00  % (400812)Instruction limit reached! 
% 3.90/1.00  % (400812)------------------------------
% 3.90/1.00  % (400812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00  % (400812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00  % (400812)CaDiCaL version: 2.1.3
% 3.90/1.00  % (400812)Termination reason: Instruction limit
% 3.90/1.00  % (400812)Termination phase: Saturation
% 3.90/1.00  % (400812)Time elapsed: 0.061 s
% 3.90/1.00  % (400812)Peak memory usage: 13 MB
% 3.90/1.00  % (400812)Instructions burned: 132 (million)
% 3.90/1.00  % (400839)Instruction limit reached! 
% 3.90/1.00  % (400839)------------------------------
% 3.90/1.00  % (400839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00  % (400839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00  % (400839)CaDiCaL version: 2.1.3
% 3.90/1.00  % (400839)Termination reason: Instruction limit
% 3.90/1.00  % (400839)Termination phase: Saturation
% 3.90/1.00  % (400839)Time elapsed: 0.033 s
% 3.90/1.00  % (400839)Peak memory usage: 13 MB
% 3.90/1.00  % (400839)Instructions burned: 135 (million)
% 3.90/1.00  % (400849)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3015086008:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 17.69/2.95  % (400813)Instruction limit reached! 
% 17.69/2.95  % (400813)------------------------------
% 17.69/2.95  % (400813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.69/2.95  % (400813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/2.95  % (400813)CaDiCaL version: 2.1.3
% 17.69/2.95  % (400813)Termination reason: Instruction limit
% 17.69/2.95  % (400813)Termination phase: Saturation
% 17.69/2.95  % (400813)Time elapsed: 0.073 s
% 17.69/2.95  % (400813)Peak memory usage: 13 MB
% 17.69/2.95  % (400813)Instructions burned: 160 (million)
% 17.69/2.95  % (400859)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1835254926:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.69/2.95  % (400854)ott-21_1_sil=16000:fs=off:random_seed=3816187683:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.69/2.95  % (400856)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2394332359:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.69/2.95  % (400849)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.69/2.95  % Exception at run slice level
% 17.69/2.95  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.69/2.95  % (400849)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.69/2.95  % (400865)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2733543259:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.69/2.95  % (400876)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=993706948:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.69/2.95  % Exception at run slice level
% 17.69/2.95  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.69/2.95  % (400890)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2968607460:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 17.69/2.95  % (400890)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.69/2.95  % (400854)Instruction limit reached! 
% 17.69/2.95  % (400854)------------------------------
% 17.69/2.95  % (400854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.69/2.95  % (400854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/2.95  % (400854)CaDiCaL version: 2.1.3
% 17.69/2.95  % (400854)Termination reason: Instruction limit
% 17.69/2.95  % (400854)Termination phase: Saturation
% 17.69/2.95  % (400854)Time elapsed: 0.085 s
% 17.69/2.95  % (400854)Peak memory usage: 13 MB
% 17.69/2.95  % (400854)Instructions burned: 181 (million)
% 17.69/2.95  % (400907)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1554192833:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 17.69/2.95  % (400907)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.69/2.95  % (400890)Instruction limit reached! 
% 17.69/2.95  % (400890)------------------------------
% 17.69/2.95  % (400890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.69/2.95  % (400890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/2.95  % (400890)CaDiCaL version: 2.1.3
% 17.69/2.95  % (400890)Termination reason: Instruction limit
% 17.69/2.95  % (400890)Termination phase: Saturation
% 17.69/2.95  % (400890)Time elapsed: 0.149 s
% 17.69/2.95  % (400890)Peak memory usage: 15 MB
% 17.69/2.95  % (400890)Instructions burned: 695 (million)
% 17.69/2.95  % (400947)fmb+10_1_sil=64000:random_seed=1215095160:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 17.69/2.95  % (400947)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.69/2.95  % Exception at run slice level
% 17.69/2.95  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.69/2.95  % (400962)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1531290665:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 17.69/2.95  % (400856)Instruction limit reached! 
% 17.69/2.95  % (400856)------------------------------
% 17.69/2.95  % (400856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.69/2.95  % (400856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.11/5.21  % (400856)CaDiCaL version: 2.1.3
% 35.11/5.21  % (400856)Termination reason: Instruction limit
% 35.11/5.21  % (400856)Termination phase: Saturation
% 35.11/5.21  % (400856)Time elapsed: 0.249 s
% 35.11/5.21  % (400856)Peak memory usage: 14 MB
% 35.11/5.21  % (400856)Instructions burned: 479 (million)
% 35.11/5.21  % (400849)Instruction limit reached! 
% 35.11/5.21  % (400849)------------------------------
% 35.11/5.21  % (400849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.11/5.21  % (400849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.11/5.21  % (400849)CaDiCaL version: 2.1.3
% 35.11/5.21  % (400849)Termination reason: Instruction limit
% 35.11/5.21  % (400849)Termination phase: Saturation
% 35.11/5.21  % (400849)Time elapsed: 0.266 s
% 35.11/5.21  % (400849)Peak memory usage: 14 MB
% 35.11/5.21  % (400849)Instructions burned: 685 (million)
% 35.11/5.21  % Exception at run slice level
% 35.11/5.21  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.11/5.21  % (400973)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3508023200:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 35.11/5.21  % (400970)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3090376673:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 35.11/5.21  % (400972)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2921598946:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 35.11/5.21  % (400973)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 35.11/5.21  % (400973)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.11/5.21  % (400972)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 35.11/5.21  % Exception at run slice level
% 35.11/5.21  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.11/5.21  % (400981)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3587065178:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 35.11/5.21  % Exception at run slice level
% 35.11/5.21  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.11/5.21  % (400983)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3697046174:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 35.11/5.21  % Exception at run slice level
% 35.11/5.21  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.11/5.21  % (400985)ott-2_1_sil=16000:newcnf=on:random_seed=532613649:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 35.11/5.21  % (400985)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 35.11/5.21  % (400907)Instruction limit reached! 
% 35.11/5.21  % (400907)------------------------------
% 35.11/5.21  % (400907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.11/5.21  % (400907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.11/5.21  % (400907)CaDiCaL version: 2.1.3
% 35.11/5.21  % (400907)Termination reason: Instruction limit
% 35.11/5.21  % (400907)Termination phase: Saturation
% 35.11/5.21  % (400907)Time elapsed: 0.432 s
% 35.11/5.21  % (400907)Peak memory usage: 18 MB
% 35.11/5.21  % (400907)Instructions burned: 879 (million)
% 35.11/5.21  % (400987)ott+10_1_sil=32000:tgt=ground:random_seed=183394480:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 35.11/5.21  % (400865)Instruction limit reached! 
% 35.11/5.21  % (400865)------------------------------
% 35.11/5.21  % (400865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.11/5.21  % (400865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.11/5.21  % (400865)CaDiCaL version: 2.1.3
% 35.11/5.21  % (400865)Termination reason: Instruction limit
% 35.11/5.21  % (400865)Termination phase: Saturation
% 35.11/5.21  % (400865)Time elapsed: 0.574 s
% 35.11/5.21  % (400865)Peak memory usage: 18 MB
% 35.11/5.21  % (400865)Instructions burned: 1180 (million)
% 35.11/5.21  % (400989)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4180036541:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 35.11/5.21  % Exception at run slice level
% 35.11/5.21  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 35.11/5.21  % (400973)Instruction limit reached! 
% 35.11/5.21  % (400973)------------------------------
% 93.27/13.43  % (400973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.27/13.43  % (400973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.27/13.43  % (400973)CaDiCaL version: 2.1.3
% 93.27/13.43  % (400973)Termination reason: Instruction limit
% 93.27/13.43  % (400973)Termination phase: Saturation
% 93.27/13.43  % (400973)Time elapsed: 0.363 s
% 93.27/13.43  % (400973)Peak memory usage: 24 MB
% 93.27/13.43  % (400973)Instructions burned: 1475 (million)
% 93.27/13.43  % (400992)dis+21_1_sil=32000:sas=cadical:random_seed=3937878831:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 93.27/13.43  % (400991)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1212184251:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 93.27/13.43  % (400991)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 93.27/13.43  % (400985)Instruction limit reached! 
% 93.27/13.43  % (400985)------------------------------
% 93.27/13.43  % (400985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.27/13.43  % (400985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.27/13.43  % (400985)CaDiCaL version: 2.1.3
% 93.27/13.43  % (400985)Termination reason: Instruction limit
% 93.27/13.43  % (400985)Termination phase: Saturation
% 93.27/13.43  % (400985)Time elapsed: 0.385 s
% 93.27/13.43  % (400985)Peak memory usage: 15 MB
% 93.27/13.43  % (400985)Instructions burned: 871 (million)
% 93.27/13.43  % (400995)ott+11_1_sil=16000:gs=on:random_seed=1340984408:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2990 on theBenchmark for (2990ds/2251Mi)
% 93.27/13.43  % (400995)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 93.27/13.43  % (400992)Instruction limit reached! 
% 93.27/13.43  % (400992)------------------------------
% 93.27/13.43  % (400992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.27/13.43  % (400992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.27/13.43  % (400992)CaDiCaL version: 2.1.3
% 93.27/13.43  % (400992)Termination reason: Instruction limit
% 93.27/13.43  % (400992)Termination phase: Saturation
% 93.27/13.43  % (400992)Time elapsed: 0.923 s
% 93.27/13.43  % (400992)Peak memory usage: 23 MB
% 93.27/13.43  % (400992)Instructions burned: 3774 (million)
% 93.27/13.43  % (400997)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1982600980:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 93.27/13.43  % Exception at run slice level
% 93.27/13.43  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 93.27/13.43  % (400999)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=70894556:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 93.27/13.43  % (400995)Instruction limit reached! 
% 93.27/13.43  % (400995)------------------------------
% 93.27/13.43  % (400995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.27/13.43  % (400995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.27/13.43  % (400995)CaDiCaL version: 2.1.3
% 93.27/13.43  % (400995)Termination reason: Instruction limit
% 93.27/13.43  % (400995)Termination phase: Saturation
% 93.27/13.43  % (400995)Time elapsed: 0.937 s
% 93.27/13.43  % (400995)Peak memory usage: 15 MB
% 93.27/13.43  % (400995)Instructions burned: 2251 (million)
% 93.27/13.43  % (401001)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3028655182:i=29340_2981 on theBenchmark for (2981ds/29340Mi)
% 93.27/13.43  % (400991)Instruction limit reached! 
% 93.27/13.43  % (400991)------------------------------
% 93.27/13.43  % (400991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.27/13.43  % (400991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.27/13.43  % (400991)CaDiCaL version: 2.1.3
% 93.27/13.43  % (400991)Termination reason: Instruction limit
% 93.27/13.43  % (400991)Termination phase: Saturation
% 93.27/13.43  % (400991)Time elapsed: 1.589 s
% 93.27/13.43  % (400991)Peak memory usage: 22 MB
% 93.27/13.43  % (400991)Instructions burned: 3514 (million)
% 93.27/13.43  % (401003)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=877086066:i=5211_2976 on theBenchmark for (2976ds/5211Mi)
% 93.27/13.43  % (400972)Instruction limit reached! 
% 93.27/13.43  % (400972)------------------------------
% 93.27/13.43  % (400972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 93.27/13.43  % (400972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.79/16.34  % (400972)CaDiCaL version: 2.1.3
% 113.79/16.34  % (400972)Termination reason: Instruction limit
% 113.79/16.34  % (400972)Termination phase: Saturation
% 113.79/16.34  % (400972)Time elapsed: 2.309 s
% 113.79/16.34  % (400972)Peak memory usage: 25 MB
% 113.79/16.34  % (400972)Instructions burned: 5132 (million)
% 113.79/16.34  % (401005)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1316239205:i=5497:nm=2_2972 on theBenchmark for (2972ds/5497Mi)
% 113.79/16.34  % Exception at run slice level
% 113.79/16.34  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 113.79/16.34  % (401007)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=875827190:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 113.79/16.34  % Exception at run slice level
% 113.79/16.34  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 113.79/16.34  % (401009)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1630379432:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 113.79/16.34  % Exception at run slice level
% 113.79/16.34  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 113.79/16.34  % (400999)Instruction limit reached! 
% 113.79/16.34  % (400999)------------------------------
% 113.79/16.34  % (400999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 113.79/16.34  % (400999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.79/16.34  % (400999)CaDiCaL version: 2.1.3
% 113.79/16.34  % (400999)Termination reason: Instruction limit
% 113.79/16.34  % (400999)Termination phase: Saturation
% 113.79/16.34  % (400999)Time elapsed: 1.112 s
% 113.79/16.34  % (400999)Peak memory usage: 32 MB
% 113.79/16.34  % (400999)Instructions burned: 4593 (million)
% 113.79/16.34  % (401012)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3504366273:i=8173:av=off_2971 on theBenchmark for (2971ds/8173Mi)
% 113.79/16.34  % (401011)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2492425596:i=22565:add=on:rawr=on_2971 on theBenchmark for (2971ds/22565Mi)
% 113.79/16.34  % (400987)Instruction limit reached! 
% 113.79/16.34  % (400987)------------------------------
% 113.79/16.34  % (400987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 113.79/16.34  % (400987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.79/16.34  % (400987)CaDiCaL version: 2.1.3
% 113.79/16.34  % (400987)Termination reason: Instruction limit
% 113.79/16.34  % (400987)Termination phase: Saturation
% 113.79/16.34  % (400987)Time elapsed: 2.389 s
% 113.79/16.34  % (400987)Peak memory usage: 30 MB
% 113.79/16.34  % (400987)Instructions burned: 5114 (million)
% 113.79/16.34  % (401015)dis+10_16:1_sil=16000:random_seed=2914263858:i=9155:fsr=off_2969 on theBenchmark for (2969ds/9155Mi)
% 113.79/16.34  % (401012)Instruction limit reached! 
% 113.79/16.34  % (401012)------------------------------
% 113.79/16.34  % (401012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 113.79/16.34  % (401012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.79/16.34  % (401012)CaDiCaL version: 2.1.3
% 113.79/16.34  % (401012)Termination reason: Instruction limit
% 113.79/16.34  % (401012)Termination phase: Saturation
% 113.79/16.34  % (401012)Time elapsed: 1.874 s
% 113.79/16.34  % (401012)Peak memory usage: 32 MB
% 113.79/16.34  % (401012)Instructions burned: 8174 (million)
% 113.79/16.34  % (401017)ott-3_8_sil=64000:random_seed=3876001914:i=20139:bs=on_2952 on theBenchmark for (2952ds/20139Mi)
% 113.79/16.34  % (401003)Instruction limit reached! 
% 113.79/16.34  % (401003)------------------------------
% 113.79/16.34  % (401003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 113.79/16.34  % (401003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.79/16.34  % (401003)CaDiCaL version: 2.1.3
% 113.79/16.34  % (401003)Termination reason: Instruction limit
% 113.79/16.34  % (401003)Termination phase: Saturation
% 113.79/16.34  % (401003)Time elapsed: 2.522 s
% 113.79/16.34  % (401003)Peak memory usage: 34 MB
% 113.79/16.34  % (401003)Instructions burned: 5211 (million)
% 113.79/16.34  % (401019)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2737923762:fmbsr=2:i=32576_2950 on theBenchmark for (2950ds/32576Mi)
% 113.79/16.34  % Exception at run slice level
% 113.79/16.34  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 113.79/16.34  % (401021)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=545037999:i=11404_2950 on theBenchmark for (2950ds/11404Mi)
% 121.92/17.59  % (401015)Instruction limit reached! 
% 121.92/17.59  % (401015)------------------------------
% 121.92/17.59  % (401015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.92/17.59  % (401015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.92/17.59  % (401015)CaDiCaL version: 2.1.3
% 121.92/17.59  % (401015)Termination reason: Instruction limit
% 121.92/17.59  % (401015)Termination phase: Saturation
% 121.92/17.59  % (401015)Time elapsed: 4.086 s
% 121.92/17.59  % (401015)Peak memory usage: 35 MB
% 121.92/17.59  % (401015)Instructions burned: 9157 (million)
% 121.92/17.59  % (401023)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2106499902:i=14134_2928 on theBenchmark for (2928ds/14134Mi)
% 121.92/17.59  % (401023)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 121.92/17.59  % (401017)Instruction limit reached! 
% 121.92/17.59  % (401017)------------------------------
% 121.92/17.59  % (401017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.92/17.59  % (401017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.92/17.59  % (401017)CaDiCaL version: 2.1.3
% 121.92/17.59  % (401017)Termination reason: Instruction limit
% 121.92/17.59  % (401017)Termination phase: Saturation
% 121.92/17.59  % (401017)Time elapsed: 3.973 s
% 121.92/17.59  % (401017)Peak memory usage: 19 MB
% 121.92/17.59  % (401017)Instructions burned: 20144 (million)
% 121.92/17.59  % (401025)dis+33_16_sil=32000:sac=on:random_seed=917494630:i=15851:nm=0_2912 on theBenchmark for (2912ds/15851Mi)
% 121.92/17.59  % (401011)Instruction limit reached! 
% 121.92/17.59  % (401011)------------------------------
% 121.92/17.59  % (401011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.92/17.59  % (401011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.92/17.59  % (401011)CaDiCaL version: 2.1.3
% 121.92/17.59  % (401011)Termination reason: Instruction limit
% 121.92/17.59  % (401011)Termination phase: Saturation
% 121.92/17.59  % (401011)Time elapsed: 6.907 s
% 121.92/17.59  % (401011)Peak memory usage: 19 MB
% 121.92/17.59  % (401011)Instructions burned: 22567 (million)
% 121.92/17.59  % (401027)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1955044016:avsq=on:i=17627:add=on:amm=off_2902 on theBenchmark for (2902ds/17627Mi)
% 121.92/17.59  % (401021)Instruction limit reached! 
% 121.92/17.59  % (401021)------------------------------
% 121.92/17.59  % (401021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.92/17.59  % (401021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.92/17.59  % (401021)CaDiCaL version: 2.1.3
% 121.92/17.59  % (401021)Termination reason: Instruction limit
% 121.92/17.59  % (401021)Termination phase: Saturation
% 121.92/17.59  % (401021)Time elapsed: 5.435 s
% 121.92/17.59  % (401021)Peak memory usage: 50 MB
% 121.92/17.59  % (401021)Instructions burned: 11405 (million)
% 121.92/17.59  % (401029)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1041770674:s2a=on:i=53295_2895 on theBenchmark for (2895ds/53295Mi)
% 121.92/17.59  % (401025)Instruction limit reached! 
% 121.92/17.59  % (401025)------------------------------
% 121.92/17.59  % (401025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.92/17.59  % (401025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.92/17.59  % (401025)CaDiCaL version: 2.1.3
% 121.92/17.59  % (401025)Termination reason: Instruction limit
% 121.92/17.59  % (401025)Termination phase: Saturation
% 121.92/17.59  % (401025)Time elapsed: 3.062 s
% 121.92/17.59  % (401025)Peak memory usage: 17 MB
% 121.92/17.59  % (401025)Instructions burned: 15851 (million)
% 121.92/17.59  % (401031)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=4269153171:i=26857:ins=20_2882 on theBenchmark for (2882ds/26857Mi)
% 121.92/17.59  % Exception at run slice level
% 121.92/17.59  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 121.92/17.59  % (401033)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=1898908842:i=28120:bs=on:fsr=off_2881 on theBenchmark for (2881ds/28120Mi)
% 121.92/17.59  % (401023)Instruction limit reached! 
% 121.92/17.59  % (401023)------------------------------
% 121.92/17.59  % (401023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.92/17.59  % (401023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.92/17.59  % (401023)CaDiCaL version: 2.1.3
% 121.92/17.59  % (401023)Termination reason: Instruction limit
% 121.92/17.59  % (401023)Termination phase: Saturation
% 121.92/17.59  % (401023)Time elapsed: 5.979 s
% 136.19/19.53  % (401023)Peak memory usage: 41 MB
% 136.19/19.53  % (401023)Instructions burned: 14135 (million)
% 136.19/19.53  % (401035)fmb+10_1_sil=256000:fmbss=7:random_seed=587388902:fmbsr=1.6:i=182295_2868 on theBenchmark for (2868ds/182295Mi)
% 136.19/19.53  % Exception at run slice level
% 136.19/19.53  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 136.19/19.53  % (401037)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=1626933846:i=44625:gsp=on_2867 on theBenchmark for (2867ds/44625Mi)
% 136.19/19.53  % (401037)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 136.19/19.53  % (401037)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 136.19/19.53  % Exception at run slice level
% 136.19/19.53  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 136.19/19.53  % (401039)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=3969256022:i=160505_2867 on theBenchmark for (2867ds/160505Mi)
% 136.19/19.53  % Exception at run slice level
% 136.19/19.53  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 136.19/19.53  % (401041)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=371569712:fmbsr=1.3:i=225729_2866 on theBenchmark for (2866ds/225729Mi)
% 136.19/19.53  % Exception at run slice level
% 136.19/19.53  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 136.19/19.53  % (401043)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=1274023354:fmbsr=2:i=185024:ins=7_2866 on theBenchmark for (2866ds/185024Mi)
% 136.19/19.53  % Exception at run slice level
% 136.19/19.53  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 136.19/19.53  % (401045)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=240217721:rtra=on_2865 on theBenchmark for (2865ds/0Mi)
% 136.19/19.53  % Exception at run slice level
% 136.19/19.53  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 136.19/19.53  % (401048)% WARNING: option uhcvi not known.
% 136.19/19.53  % (401048)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2436629716:i=271062:add=off:rtra=on:rawr=on_2865 on theBenchmark for (2865ds/271062Mi)
% 136.19/19.53  % (401048)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 136.19/19.53  % (401048)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 136.19/19.53  % (401001)Instruction limit reached! 
% 136.19/19.53  % (401001)------------------------------
% 136.19/19.53  % (401001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 136.19/19.53  % (401001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.19/19.53  % (401001)CaDiCaL version: 2.1.3
% 136.19/19.53  % (401001)Termination reason: Instruction limit
% 136.19/19.53  % (401001)Termination phase: Saturation
% 136.19/19.53  % (401001)Time elapsed: 12.028 s
% 136.19/19.53  % (401001)Peak memory usage: 61 MB
% 136.19/19.53  % (401001)Instructions burned: 29341 (million)
% 136.19/19.53  % (401236)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=127432715:i=176048:add=on:rtra=on:rawr=on_2860 on theBenchmark for (2860ds/176048Mi)
% 136.19/19.53  % (401027)Instruction limit reached! 
% 136.19/19.53  % (401027)------------------------------
% 136.19/19.53  % (401027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 136.19/19.53  % (401027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.19/19.53  % (401027)CaDiCaL version: 2.1.3
% 136.19/19.53  % (401027)Termination reason: Instruction limit
% 136.19/19.53  % (401027)Termination phase: Saturation
% 136.19/19.53  % (401027)Time elapsed: 6.193 s
% 136.19/19.53  % (401027)Peak memory usage: 17 MB
% 136.19/19.53  % (401027)Instructions burned: 17628 (million)
% 136.19/19.53  % (401328)dis+10_1_sil=32000:si=on:sp=arity:random_seed=459169855:i=206:fgj=on:rtra=on_2840 on theBenchmark for (2840ds/206Mi)
% 136.19/19.53  % (401328)Instruction limit reached! 
% 136.19/19.53  % (401328)------------------------------
% 136.19/19.53  % (401328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 136.19/19.53  % (401328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.19/19.53  % (401328)CaDiCaL version: 2.1.3
% 136.19/19.53  % (401328)Termination reason: Instruction limit
% 136.19/19.53  % (401328)Termination phase: Saturation
% 136.19/19.53  % (401328)Time elapsed: 0.102 s
% 145.41/20.88  % (401328)Peak memory usage: 13 MB
% 145.41/20.88  % (401328)Instructions burned: 207 (million)
% 145.41/20.88  % (401330)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=3037711913:i=232:rtra=on_2838 on theBenchmark for (2838ds/232Mi)
% 145.41/20.88  % (401330)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 145.41/20.88  % (401330)Instruction limit reached! 
% 145.41/20.88  % (401330)------------------------------
% 145.41/20.88  % (401330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.41/20.88  % (401330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.41/20.88  % (401330)CaDiCaL version: 2.1.3
% 145.41/20.88  % (401330)Termination reason: Instruction limit
% 145.41/20.88  % (401330)Termination phase: Saturation
% 145.41/20.88  % (401330)Time elapsed: 0.110 s
% 145.41/20.88  % (401330)Peak memory usage: 14 MB
% 145.41/20.88  % (401330)Instructions burned: 233 (million)
% 145.41/20.88  % (401332)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=1549878960:i=262:rtra=on_2837 on theBenchmark for (2837ds/262Mi)
% 145.41/20.88  % (401332)Instruction limit reached! 
% 145.41/20.88  % (401332)------------------------------
% 145.41/20.88  % (401332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.41/20.88  % (401332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.41/20.88  % (401332)CaDiCaL version: 2.1.3
% 145.41/20.88  % (401332)Termination reason: Instruction limit
% 145.41/20.88  % (401332)Termination phase: Saturation
% 145.41/20.88  % (401332)Time elapsed: 0.174 s
% 145.41/20.88  % (401332)Peak memory usage: 14 MB
% 145.41/20.88  % (401332)Instructions burned: 262 (million)
% 145.41/20.88  % (401340)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=2253893923:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2835 on theBenchmark for (2835ds/318Mi)
% 145.41/20.88  % (401340)Instruction limit reached! 
% 145.41/20.88  % (401340)------------------------------
% 145.41/20.88  % (401340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.41/20.88  % (401340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.41/20.88  % (401340)CaDiCaL version: 2.1.3
% 145.41/20.88  % (401340)Termination reason: Instruction limit
% 145.41/20.88  % (401340)Termination phase: Saturation
% 145.41/20.88  % (401340)Time elapsed: 0.144 s
% 145.41/20.88  % (401340)Peak memory usage: 14 MB
% 145.41/20.88  % (401340)Instructions burned: 320 (million)
% 145.41/20.88  % (401343)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=3063730513:i=1428:nm=2:rtra=on_2834 on theBenchmark for (2834ds/1428Mi)
% 145.41/20.88  % Exception at run slice level
% 145.41/20.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 145.41/20.88  % (401346)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=2204283044:i=262:bd=preordered:rtra=on:fsd=on_2833 on theBenchmark for (2833ds/262Mi)
% 145.41/20.88  % (401346)Instruction limit reached! 
% 145.41/20.88  % (401346)------------------------------
% 145.41/20.88  % (401346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.41/20.88  % (401346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.41/20.88  % (401346)CaDiCaL version: 2.1.3
% 145.41/20.88  % (401346)Termination reason: Instruction limit
% 145.41/20.88  % (401346)Termination phase: Saturation
% 145.41/20.88  % (401346)Time elapsed: 0.126 s
% 145.41/20.88  % (401346)Peak memory usage: 13 MB
% 145.41/20.88  % (401346)Instructions burned: 264 (million)
% 145.41/20.88  % (401386)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1100553803:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2832 on theBenchmark for (2832ds/1368Mi)
% 145.41/20.88  % (401386)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 145.41/20.88  % (401386)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 145.41/20.88  % (401386)Instruction limit reached! 
% 145.41/20.88  % (401386)------------------------------
% 145.41/20.88  % (401386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.41/20.88  % (401386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.41/20.88  % (401386)CaDiCaL version: 2.1.3
% 145.41/20.88  % (401386)Termination reason: Instruction limit
% 145.41/20.88  % (401386)Termination phase: Saturation
% 145.41/20.88  % (401386)Time elapsed: 0.524 s
% 145.41/20.88  % (401386)Peak memory usage: 15 MB
% 145.41/20.88  % (401386)Instructions burned: 1369 (million)
% 145.41/20.88  % (401388)ott-21_1_sil=16000:si=on:fs=off:random_seed=2837992886:i=360:av=off:fsr=off:rtra=on_2826 on theBenchmark for (2826ds/360Mi)
% 157.89/22.55  % (401388)Instruction limit reached! 
% 157.89/22.55  % (401388)------------------------------
% 157.89/22.55  % (401388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401388)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401388)Termination reason: Instruction limit
% 157.89/22.55  % (401388)Termination phase: Saturation
% 157.89/22.55  % (401388)Time elapsed: 0.167 s
% 157.89/22.55  % (401388)Peak memory usage: 14 MB
% 157.89/22.55  % (401388)Instructions burned: 361 (million)
% 157.89/22.55  % (401390)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1428781393:i=954:bd=all:rtra=on_2824 on theBenchmark for (2824ds/954Mi)
% 157.89/22.55  % (401390)Instruction limit reached! 
% 157.89/22.55  % (401390)------------------------------
% 157.89/22.55  % (401390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401390)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401390)Termination reason: Instruction limit
% 157.89/22.55  % (401390)Termination phase: Saturation
% 157.89/22.55  % (401390)Time elapsed: 0.503 s
% 157.89/22.55  % (401390)Peak memory usage: 14 MB
% 157.89/22.55  % (401390)Instructions burned: 954 (million)
% 157.89/22.55  % (401392)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=3545121955:fmbsr=1.3:i=1730:ins=25:rtra=on_2819 on theBenchmark for (2819ds/1730Mi)
% 157.89/22.55  % Exception at run slice level
% 157.89/22.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 157.89/22.55  % (401394)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=3194679769:i=2358:rtra=on_2819 on theBenchmark for (2819ds/2358Mi)
% 157.89/22.55  % (401033)Instruction limit reached! 
% 157.89/22.55  % (401033)------------------------------
% 157.89/22.55  % (401033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401033)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401033)Termination reason: Instruction limit
% 157.89/22.55  % (401033)Termination phase: Saturation
% 157.89/22.55  % (401033)Time elapsed: 6.731 s
% 157.89/22.55  % (401033)Peak memory usage: 57 MB
% 157.89/22.55  % (401033)Instructions burned: 28123 (million)
% 157.89/22.55  % (401396)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=33582276:i=1778:ins=1:rtra=on_2814 on theBenchmark for (2814ds/1778Mi)
% 157.89/22.55  % Exception at run slice level
% 157.89/22.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 157.89/22.55  % (401398)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:si=on:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1202300972:avsq=on:s2a=on:i=1384:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rtra=on:rawr=on_2814 on theBenchmark for (2814ds/1384Mi)
% 157.89/22.55  % (401398)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 157.89/22.55  % (401398)Instruction limit reached! 
% 157.89/22.55  % (401398)------------------------------
% 157.89/22.55  % (401398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401398)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401398)Termination reason: Instruction limit
% 157.89/22.55  % (401398)Termination phase: Saturation
% 157.89/22.55  % (401398)Time elapsed: 0.286 s
% 157.89/22.55  % (401398)Peak memory usage: 16 MB
% 157.89/22.55  % (401398)Instructions burned: 1385 (million)
% 157.89/22.55  % (401400)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=387789451:i=1758:kws=inv_precedence:fsr=off:rtra=on_2811 on theBenchmark for (2811ds/1758Mi)
% 157.89/22.55  % (401400)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 157.89/22.55  % (401394)Instruction limit reached! 
% 157.89/22.55  % (401394)------------------------------
% 157.89/22.55  % (401394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401394)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401394)Termination reason: Instruction limit
% 157.89/22.55  % (401394)Termination phase: Saturation
% 157.89/22.55  % (401394)Time elapsed: 1.197 s
% 157.89/22.55  % (401394)Peak memory usage: 23 MB
% 157.89/22.55  % (401394)Instructions burned: 2359 (million)
% 157.89/22.55  % (401460)fmb+10_1_sil=64000:si=on:random_seed=1192217519:i=44122:nm=2:rtra=on:gsp=on_2807 on theBenchmark for (2807ds/44122Mi)
% 157.89/22.55  % (401460)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 157.89/22.55  % Exception at run slice level
% 157.89/22.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 157.89/22.55  % (401475)fmb+10_1_sil=16000:sas=cadical:si=on:fmbss=20:random_seed=2323981689:i=19030:nm=5:rtra=on_2806 on theBenchmark for (2806ds/19030Mi)
% 157.89/22.55  % (401400)Instruction limit reached! 
% 157.89/22.55  % (401400)------------------------------
% 157.89/22.55  % (401400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401400)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401400)Termination reason: Instruction limit
% 157.89/22.55  % (401400)Termination phase: Saturation
% 157.89/22.55  % (401400)Time elapsed: 0.465 s
% 157.89/22.55  % (401400)Peak memory usage: 21 MB
% 157.89/22.55  % (401400)Instructions burned: 1759 (million)
% 157.89/22.55  % (401486)fmb+10_1_sil=64000:sas=cadical:si=on:fmbss=8:random_seed=1156136563:fmbsr=1.7:i=1840:rtra=on_2806 on theBenchmark for (2806ds/1840Mi)
% 157.89/22.55  % Exception at run slice level
% 157.89/22.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 157.89/22.55  % Exception at run slice level
% 157.89/22.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 157.89/22.55  % (401501)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:si=on:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3462815580:i=2944:ins=7:rtra=on:fdi=8:gsp=on_2806 on theBenchmark for (2806ds/2944Mi)
% 157.89/22.55  % (401499)dis-4_1_sil=16000:drc=ordering:si=on:sp=const_frequency:sac=on:newcnf=on:random_seed=1613295889:i=10262:rtra=on_2806 on theBenchmark for (2806ds/10262Mi)
% 157.89/22.55  % (401501)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 157.89/22.55  % (401501)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 157.89/22.55  % (401499)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 157.89/22.55  % (401501)Instruction limit reached! 
% 157.89/22.55  % (401501)------------------------------
% 157.89/22.55  % (401501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401501)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401501)Termination reason: Instruction limit
% 157.89/22.55  % (401501)Termination phase: Saturation
% 157.89/22.55  % (401501)Time elapsed: 0.733 s
% 157.89/22.55  % (401501)Peak memory usage: 26 MB
% 157.89/22.55  % (401501)Instructions burned: 2948 (million)
% 157.89/22.55  % (401526)fmb+10_1_sil=16000:sas=cadical:si=on:bce=on:fmbss=77:random_seed=669521482:i=12648:rtra=on_2798 on theBenchmark for (2798ds/12648Mi)
% 157.89/22.55  % Exception at run slice level
% 157.89/22.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 157.89/22.55  % (401528)fmb+10_1_fmbas=function:sil=32000:sas=cadical:si=on:fmbss=16:random_seed=2934914156:fmbsr=2.30978:i=4348:rtra=on_2798 on theBenchmark for (2798ds/4348Mi)
% 157.89/22.55  % Exception at run slice level
% 157.89/22.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 157.89/22.55  % (401530)ott-2_1_sil=16000:si=on:newcnf=on:random_seed=1624512723:avsq=on:i=1738:avsqr=1,16:kws=inv_arity_squared:rtra=on_2798 on theBenchmark for (2798ds/1738Mi)
% 157.89/22.55  % (401530)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 157.89/22.55  % (401530)Instruction limit reached! 
% 157.89/22.55  % (401530)------------------------------
% 157.89/22.55  % (401530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401530)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401530)Termination reason: Instruction limit
% 157.89/22.55  % (401530)Termination phase: Saturation
% 157.89/22.55  % (401530)Time elapsed: 0.446 s
% 157.89/22.55  % (401530)Peak memory usage: 17 MB
% 157.89/22.55  % (401530)Instructions burned: 1743 (million)
% 157.89/22.55  % (401532)ott+10_1_sil=32000:tgt=ground:si=on:random_seed=2819222210:i=10228:av=off:rtra=on_2793 on theBenchmark for (2793ds/10228Mi)
% 157.89/22.55  % (401532) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-400787-401532"...
% 157.89/22.55  % (401532)...printing done.
% 157.89/22.55  % (401532)Refutation found. Thanks to Tanya!
% 157.89/22.55  % SZS status Theorem for theBenchmark
% 157.89/22.55  % SZS output start Proof for theBenchmark
% See solution above
% 157.89/22.55  % (401532)------------------------------
% 157.89/22.55  % (401532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 157.89/22.55  % (401532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.89/22.55  % (401532)CaDiCaL version: 2.1.3
% 157.89/22.55  % (401532)Termination reason: Refutation
% 157.89/22.55  % (401532)Time elapsed: 1.654 s
% 157.89/22.55  % (401532)Peak memory usage: 30 MB
% 157.89/22.55  % (401532)Instructions burned: 6716 (million)
% 157.89/22.55  % (400787)Success in time 22.311 s
% 157.89/22.55  % Vampire exiting
%------------------------------------------------------------------------------