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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG260^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 07:45:15 AM UTC 2026

% Result   : Theorem 1.27s 0.50s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  107 (  39 unt;   0 typ;  10 def)
%            Number of atoms       :  391 (  99 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  496 (  74   ~;  69   |;   0   &; 296   @)
%                                         (  10 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  407 ( 403 usr; 185 con; 0-4 aty)
%                                         (  28  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   96 (  12 sgn  21   !;   0   ?;  96   :)

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

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

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

thf(func_def_0,type,
    one: term ).

thf(func_def_1,type,
    ap: term > term > term ).

thf(func_def_2,type,
    lam: term > term ).

thf(func_def_3,type,
    sub: term > subst > term ).

thf(func_def_4,type,
    id: subst ).

thf(func_def_5,type,
    sh: subst ).

thf(func_def_6,type,
    push: term > subst > subst ).

thf(func_def_7,type,
    comp: subst > subst > subst ).

thf(func_def_8,type,
    var: term > $o ).

thf(func_def_9,type,
    pushprop_lem1v2: $o ).

thf(func_def_10,type,
    pushprop_lem1_gthm: $o ).

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

thf(func_def_12,type,
    pushprop_lem0_gthm: $o ).

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

thf(func_def_14,type,
    hoasinduction_lem1v2: $o ).

thf(func_def_15,type,
    hoasinduction_lem1v2_gthm: $o ).

thf(func_def_16,type,
    hoasap: subst > term > subst > term > term ).

thf(func_def_17,type,
    induction2lem: $o ).

thf(func_def_18,type,
    hoasinduction_lem3v2_f: $o ).

thf(func_def_19,type,
    axvarshift: $o ).

thf(func_def_20,type,
    hoasapinj2: $o ).

thf(func_def_21,type,
    hoasapnotvar_gthm: $o ).

thf(func_def_22,type,
    hoasapinj1: $o ).

thf(func_def_23,type,
    ulamvar1: $o ).

thf(func_def_24,type,
    induction2lem_lthm: $o ).

thf(func_def_25,type,
    hoasinduction_lem3v2_gthm: $o ).

thf(func_def_26,type,
    apnotvar: $o ).

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

thf(func_def_28,type,
    hoasinduction_lem3v2_f_lthm: $o ).

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

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

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

thf(func_def_32,type,
    hoasinduction_lem3aaa: $o ).

thf(func_def_33,type,
    induction2lem_gthm: $o ).

thf(func_def_34,type,
    hoasinduction_lem3aa_lthm: $o ).

thf(func_def_35,type,
    hoasinduction_lem3: $o ).

thf(func_def_36,type,
    hoasinduction_lem2: $o ).

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

thf(func_def_38,type,
    hoasinduction_lem1: $o ).

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

thf(func_def_40,type,
    pushprop_lem1v2_lthm: $o ).

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

thf(func_def_42,type,
    hoasinduction_lem0: $o ).

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

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

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

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

thf(func_def_47,type,
    pushprop_lem3v2_lthm: $o ).

thf(func_def_48,type,
    hoasinduction_lem3b_lthm: $o ).

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

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

thf(func_def_51,type,
    hoasinduction_lem3a_lthm: $o ).

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

thf(func_def_53,type,
    hoasinduction_lem3aa: $o ).

thf(func_def_54,type,
    pushprop_lem1v2_gthm: $o ).

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

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

thf(func_def_57,type,
    hoasinduction_lem3b_gthm: $o ).

thf(func_def_58,type,
    pushprop_lem2v2: $o ).

thf(func_def_59,type,
    hoasinduction_lem3a_gthm: $o ).

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

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

thf(func_def_62,type,
    hoasinduction_lem2v2: $o ).

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

thf(func_def_64,type,
    apinj2: $o ).

thf(func_def_65,type,
    apinj1: $o ).

thf(func_def_66,type,
    hoasapinj2_lthm: $o ).

thf(func_def_67,type,
    hoasinduction_lem3v2a: $o ).

thf(func_def_68,type,
    hoasapinj1_lthm: $o ).

thf(func_def_69,type,
    hoaslaminj_lthm: $o ).

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

thf(func_def_71,type,
    hoaslam: subst > ( subst > term > term ) > term ).

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

thf(func_def_73,type,
    hoasinduction_lem2v2_gthm: $o ).

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

thf(func_def_75,type,
    pushprop_lem1: $o ).

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

thf(func_def_77,type,
    hoasinduction_lem3_lthm: $o ).

thf(func_def_78,type,
    pushprop_lem0: $o ).

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

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

thf(func_def_81,type,
    hoasinduction_lem3v2a_lthm: $o ).

thf(func_def_82,type,
    hoasinduction_lem2_lthm: $o ).

thf(func_def_83,type,
    hoasapinj2_gthm: $o ).

thf(func_def_84,type,
    hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).

thf(func_def_85,type,
    hoasinduction_lem1_lthm: $o ).

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

thf(func_def_87,type,
    hoasapinj1_gthm: $o ).

thf(func_def_88,type,
    hoaslamnotvar: $o ).

thf(func_def_89,type,
    axidl: $o ).

thf(func_def_90,type,
    hoaslaminj_gthm: $o ).

thf(func_def_91,type,
    induction2_lthm: $o ).

thf(func_def_92,type,
    hoasinduction_lem0_lthm: $o ).

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

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

thf(func_def_95,type,
    hoasinduction_lem3_gthm: $o ).

thf(func_def_96,type,
    hoasinduction_lem2_gthm: $o ).

thf(func_def_97,type,
    hoasinduction_lem3b: $o ).

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

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

thf(func_def_100,type,
    hoasinduction_lem3a: $o ).

thf(func_def_101,type,
    hoasinduction_lem1_gthm: $o ).

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

thf(func_def_103,type,
    induction2_gthm: $o ).

thf(func_def_104,type,
    pushprop_lem2v2_lthm: $o ).

thf(func_def_105,type,
    hoasvar: subst > term > subst > $o ).

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

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

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

thf(func_def_109,type,
    induction2: $o ).

thf(func_def_110,type,
    pushprop_lem3v2: $o ).

thf(func_def_111,type,
    pushprop_lem2v2_gthm: $o ).

thf(func_def_112,type,
    pushprop_lem1_lthm: $o ).

thf(func_def_113,type,
    hoasinduction_lem3v2: $o ).

thf(func_def_114,type,
    axshiftcons: $o ).

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

thf(func_def_116,type,
    pushprop_lem0_lthm: $o ).

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

thf(func_def_118,type,
    hoasinduction_lem3v2_lthm: $o ).

thf(func_def_119,type,
    pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).

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

thf(func_def_121,type,
    hoasinduction_lthm_3: $o ).

thf(func_def_123,type,
    vIMP: $o > $o > $o ).

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

thf(func_def_125,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_126,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_127,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_128,type,
    db3: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_130,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_131,type,
    vNOT: $o > $o ).

thf(func_def_132,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_133,type,
    vAND: $o > $o > $o ).

thf(func_def_134,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_137,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_138,type,
    vIFF: $o > $o > $o ).

thf(func_def_139,type,
    sK0: subst ).

thf(func_def_140,type,
    sK1: subst ).

thf(func_def_141,type,
    sK2: subst ).

thf(func_def_142,type,
    sK3: ( subst > term > term ) > subst ).

thf(func_def_143,type,
    sK4: ( subst > term > term ) > subst ).

thf(func_def_144,type,
    sK5: ( subst > term > term ) > term ).

thf(func_def_145,type,
    sK6: subst > term > term ).

thf(func_def_146,type,
    sK7: ( subst > term > subst > $o ) > subst ).

thf(func_def_147,type,
    sK8: ( subst > term > subst > $o ) > subst ).

thf(func_def_148,type,
    sK9: ( subst > term > subst > $o ) > term ).

thf(func_def_149,type,
    sK10: ( subst > term > subst > $o ) > subst ).

thf(func_def_150,type,
    sK11: ( subst > term > subst > $o ) > subst ).

thf(func_def_151,type,
    sK12: ( subst > term > subst > $o ) > subst ).

thf(func_def_152,type,
    sK13: ( subst > term > subst > $o ) > subst ).

thf(func_def_153,type,
    sK14: ( subst > term > subst > $o ) > term ).

thf(func_def_154,type,
    sK15: ( subst > term > subst > $o ) > term ).

thf(func_def_155,type,
    sK16: ( subst > term > subst > $o ) > subst ).

thf(func_def_156,type,
    sK17: ( subst > term > subst > $o ) > subst ).

thf(func_def_157,type,
    sK18: ( subst > term > subst > $o ) > term ).

thf(func_def_158,type,
    sK19: ( subst > term > subst > $o ) > term ).

thf(func_def_159,type,
    sK20: subst > term > subst > $o ).

thf(func_def_160,type,
    sK21: term ).

thf(func_def_161,type,
    sK22: subst ).

thf(func_def_162,type,
    sK23: term ).

thf(func_def_163,type,
    sK24: subst ).

thf(func_def_164,type,
    sK25: term ).

thf(func_def_165,type,
    sK26: term ).

thf(func_def_166,type,
    sK27: term ).

thf(func_def_167,type,
    sK28: term ).

thf(func_def_168,type,
    sK29: subst ).

thf(func_def_169,type,
    sK30: term ).

thf(func_def_170,type,
    sK31: subst ).

thf(func_def_171,type,
    sK32: ( term > $o ) > subst > term ).

thf(func_def_172,type,
    sK33: term > $o ).

thf(func_def_173,type,
    sK34: subst ).

thf(func_def_174,type,
    sK35: term ).

thf(func_def_175,type,
    sK36: term ).

thf(func_def_176,type,
    sK37: ( subst > term > subst > $o ) > subst ).

thf(func_def_177,type,
    sK38: ( subst > term > subst > $o ) > subst ).

thf(func_def_178,type,
    sK39: ( subst > term > subst > $o ) > term ).

thf(func_def_179,type,
    sK40: ( subst > term > subst > $o ) > term ).

thf(func_def_180,type,
    sK41: ( subst > term > subst > $o ) > subst ).

thf(func_def_181,type,
    sK42: ( subst > term > subst > $o ) > subst ).

thf(func_def_182,type,
    sK43: ( subst > term > subst > $o ) > subst ).

thf(func_def_183,type,
    sK44: ( subst > term > subst > $o ) > subst ).

thf(func_def_184,type,
    sK45: ( subst > term > subst > $o ) > term ).

thf(func_def_185,type,
    sK46: ( subst > term > subst > $o ) > subst ).

thf(func_def_186,type,
    sK47: ( subst > term > subst > $o ) > subst ).

thf(func_def_187,type,
    sK48: ( subst > term > subst > $o ) > term ).

thf(func_def_188,type,
    sK49: ( subst > term > subst > $o ) > subst ).

thf(func_def_189,type,
    sK50: subst > term > subst > $o ).

thf(func_def_190,type,
    sK51: term > $o ).

thf(func_def_191,type,
    sK52: term ).

thf(func_def_192,type,
    sK53: term ).

thf(func_def_193,type,
    sK54: term ).

thf(func_def_194,type,
    sK55: ( subst > term > subst > $o ) > subst ).

thf(func_def_195,type,
    sK56: ( subst > term > subst > $o ) > subst ).

thf(func_def_196,type,
    sK57: ( subst > term > subst > $o ) > term ).

thf(func_def_197,type,
    sK58: ( subst > term > subst > $o ) > term ).

thf(func_def_198,type,
    sK59: ( subst > term > subst > $o ) > subst > term > term ).

thf(func_def_199,type,
    sK60: ( subst > term > subst > $o ) > term ).

thf(func_def_200,type,
    sK61: ( subst > term > subst > $o ) > term ).

thf(func_def_201,type,
    sK62: ( subst > term > subst > $o ) > term ).

thf(func_def_202,type,
    sK63: ( subst > term > subst > $o ) > subst ).

thf(func_def_203,type,
    sK64: ( subst > term > subst > $o ) > subst ).

thf(func_def_204,type,
    sK65: ( subst > term > subst > $o ) > subst ).

thf(func_def_205,type,
    sK66: ( subst > term > subst > $o ) > subst ).

thf(func_def_206,type,
    sK67: ( subst > term > subst > $o ) > subst ).

thf(func_def_207,type,
    sK68: ( subst > term > subst > $o ) > subst ).

thf(func_def_208,type,
    sK69: ( subst > term > subst > $o ) > subst ).

thf(func_def_209,type,
    sK70: ( subst > term > subst > $o ) > subst ).

thf(func_def_210,type,
    sK71: ( subst > term > subst > $o ) > subst ).

thf(func_def_211,type,
    sK72: ( subst > term > subst > $o ) > subst ).

thf(func_def_212,type,
    sK73: ( subst > term > subst > $o ) > subst ).

thf(func_def_213,type,
    sK74: ( subst > term > subst > $o ) > subst ).

thf(func_def_214,type,
    sK75: ( subst > term > subst > $o ) > subst ).

thf(func_def_215,type,
    sK76: ( subst > term > subst > $o ) > subst ).

thf(func_def_216,type,
    sK77: ( subst > term > subst > $o ) > subst ).

thf(func_def_217,type,
    sK78: ( subst > term > subst > $o ) > subst ).

thf(func_def_218,type,
    sK79: ( subst > term > subst > $o ) > subst ).

thf(func_def_219,type,
    sK80: ( subst > term > subst > $o ) > subst ).

thf(func_def_220,type,
    sK81: ( subst > term > subst > $o ) > subst ).

thf(func_def_221,type,
    sK82: ( subst > term > subst > $o ) > subst ).

thf(func_def_222,type,
    sK83: ( subst > term > subst > $o ) > subst ).

thf(func_def_223,type,
    sK84: ( subst > term > subst > $o ) > subst ).

thf(func_def_224,type,
    sK85: ( subst > term > subst > $o ) > subst ).

thf(func_def_225,type,
    sK86: ( subst > term > subst > $o ) > subst ).

thf(func_def_226,type,
    sK87: ( subst > term > subst > $o ) > subst ).

thf(func_def_227,type,
    sK88: ( subst > term > subst > $o ) > subst ).

thf(func_def_228,type,
    sK89: ( subst > term > subst > $o ) > subst ).

thf(func_def_229,type,
    sK90: ( subst > term > subst > $o ) > subst ).

thf(func_def_230,type,
    sK91: ( subst > term > subst > $o ) > subst ).

thf(func_def_231,type,
    sK92: ( subst > term > subst > $o ) > subst ).

thf(func_def_232,type,
    sK93: ( subst > term > subst > $o ) > subst ).

thf(func_def_233,type,
    sK94: ( subst > term > subst > $o ) > subst ).

thf(func_def_234,type,
    sK95: ( subst > term > subst > $o ) > subst ).

thf(func_def_235,type,
    sK96: ( subst > term > subst > $o ) > subst ).

thf(func_def_236,type,
    sK97: ( subst > term > subst > $o ) > subst ).

thf(func_def_237,type,
    sK98: ( subst > term > subst > $o ) > subst ).

thf(func_def_238,type,
    sK99: ( subst > term > subst > $o ) > subst ).

thf(func_def_239,type,
    sK100: ( subst > term > subst > $o ) > subst ).

thf(func_def_240,type,
    sK101: ( subst > term > subst > $o ) > subst ).

thf(func_def_241,type,
    sK102: ( subst > term > subst > $o ) > subst ).

thf(func_def_242,type,
    sK103: ( subst > term > subst > $o ) > subst ).

thf(func_def_243,type,
    sK104: ( subst > term > subst > $o ) > subst ).

thf(func_def_244,type,
    sK105: ( subst > term > subst > $o ) > subst ).

thf(func_def_245,type,
    sK106: ( subst > term > subst > $o ) > subst ).

thf(func_def_246,type,
    sK107: ( subst > term > subst > $o ) > subst ).

thf(func_def_247,type,
    sK108: ( subst > term > subst > $o ) > subst ).

thf(func_def_248,type,
    sK109: ( subst > term > subst > $o ) > subst ).

thf(func_def_249,type,
    sK110: ( subst > term > subst > $o ) > subst ).

thf(func_def_250,type,
    sK111: ( subst > term > subst > $o ) > subst ).

thf(func_def_251,type,
    sK112: ( subst > term > subst > $o ) > subst ).

thf(func_def_252,type,
    sK113: ( subst > term > subst > $o ) > subst ).

thf(func_def_253,type,
    sK114: ( subst > term > subst > $o ) > subst ).

thf(func_def_254,type,
    sK115: ( subst > term > subst > $o ) > subst ).

thf(func_def_255,type,
    sK116: ( subst > term > subst > $o ) > subst ).

thf(func_def_256,type,
    sK117: ( subst > term > subst > $o ) > subst ).

thf(func_def_257,type,
    sK118: ( subst > term > subst > $o ) > subst ).

thf(func_def_258,type,
    sK119: ( subst > term > subst > $o ) > subst ).

thf(func_def_259,type,
    sK120: ( subst > term > subst > $o ) > subst ).

thf(func_def_260,type,
    sK121: ( subst > term > subst > $o ) > subst ).

thf(func_def_261,type,
    sK122: ( subst > term > subst > $o ) > subst ).

thf(func_def_262,type,
    sK123: subst > term > subst > $o ).

thf(func_def_263,type,
    sK124: ( subst > term > term ) > subst ).

thf(func_def_264,type,
    sK125: ( subst > term > term ) > term ).

thf(func_def_265,type,
    sK126: ( subst > term > term ) > term ).

thf(func_def_266,type,
    sK127: ( subst > term > term ) > subst ).

thf(func_def_267,type,
    sK128: ( subst > term > term ) > subst ).

thf(func_def_268,type,
    sK129: term ).

thf(func_def_269,type,
    sK130: ( subst > term > subst > $o ) > subst ).

thf(func_def_270,type,
    sK131: ( subst > term > subst > $o ) > subst > term > term ).

thf(func_def_271,type,
    sK132: ( subst > term > subst > $o ) > subst ).

thf(func_def_272,type,
    sK133: ( subst > term > subst > $o ) > term ).

thf(func_def_273,type,
    sK134: ( subst > term > subst > $o ) > subst ).

thf(func_def_274,type,
    sK135: ( subst > term > subst > $o ) > term > term ).

thf(func_def_275,type,
    sK136: ( subst > term > subst > $o ) > subst ).

thf(func_def_276,type,
    sK137: ( subst > term > subst > $o ) > subst ).

thf(func_def_277,type,
    sK138: ( subst > term > subst > $o ) > term ).

thf(func_def_278,type,
    sK139: ( subst > term > subst > $o ) > subst ).

thf(func_def_279,type,
    sK140: ( subst > term > subst > $o ) > subst ).

thf(func_def_280,type,
    sK141: ( subst > term > subst > $o ) > term ).

thf(func_def_281,type,
    sK142: ( subst > term > subst > $o ) > subst ).

thf(func_def_282,type,
    sK143: ( subst > term > subst > $o ) > term > term ).

thf(func_def_283,type,
    sK144: ( subst > term > subst > $o ) > subst ).

thf(func_def_284,type,
    sK145: ( subst > term > subst > $o ) > subst ).

thf(func_def_285,type,
    sK146: ( subst > term > subst > $o ) > subst ).

thf(func_def_286,type,
    sK147: ( subst > term > subst > $o ) > subst ).

thf(func_def_287,type,
    sK148: ( subst > term > subst > $o ) > term ).

thf(func_def_288,type,
    sK149: ( subst > term > subst > $o ) > subst ).

thf(func_def_289,type,
    sK150: ( subst > term > subst > $o ) > subst ).

thf(func_def_290,type,
    sK151: ( subst > term > subst > $o ) > subst ).

thf(func_def_291,type,
    sK152: ( subst > term > subst > $o ) > term ).

thf(func_def_292,type,
    sK153: ( subst > term > subst > $o ) > subst ).

thf(func_def_293,type,
    sK154: ( subst > term > subst > $o ) > term > term ).

thf(func_def_294,type,
    sK155: ( subst > term > subst > $o ) > subst ).

thf(func_def_295,type,
    sK156: ( subst > term > subst > $o ) > subst ).

thf(func_def_296,type,
    sK157: ( subst > term > subst > $o ) > subst ).

thf(func_def_297,type,
    sK158: ( subst > term > subst > $o ) > term ).

thf(func_def_298,type,
    sK159: ( subst > term > subst > $o ) > term ).

thf(func_def_299,type,
    sK160: ( subst > term > subst > $o ) > subst ).

thf(func_def_300,type,
    sK161: subst > term > subst > $o ).

thf(func_def_301,type,
    sK162: ( subst > term > term ) > subst ).

thf(func_def_302,type,
    sK163: ( subst > term > term ) > term ).

thf(func_def_303,type,
    sK164: ( subst > term > term ) > subst ).

thf(func_def_304,type,
    sK165: ( subst > term > term ) > term ).

thf(func_def_305,type,
    sK166: ( subst > term > term ) > term ).

thf(func_def_306,type,
    sK167: term ).

thf(func_def_307,type,
    sK168: ( subst > term > subst > $o ) > subst > term > term ).

thf(func_def_308,type,
    sK169: ( subst > term > subst > $o ) > term > term ).

thf(func_def_309,type,
    sK170: ( subst > term > subst > $o ) > term > term ).

thf(func_def_310,type,
    sK171: ( subst > term > subst > $o ) > term > term ).

thf(func_def_311,type,
    sK172: subst > term > subst > $o ).

thf(func_def_312,type,
    sK173: ( subst > term > term ) > term ).

thf(func_def_313,type,
    sK174: ( subst > term > term ) > term ).

thf(func_def_314,type,
    sK175: ( subst > term > term ) > subst ).

thf(func_def_315,type,
    sK176: ( subst > term > term ) > subst ).

thf(func_def_316,type,
    sK177: ( subst > term > term ) > subst ).

thf(func_def_317,type,
    sK178: ( subst > term > term ) > subst ).

thf(func_def_318,type,
    sK179: term ).

thf(func_def_319,type,
    sK180: subst ).

thf(func_def_320,type,
    sK181: term ).

thf(func_def_321,type,
    sK182: term ).

thf(func_def_322,type,
    sK183: term ).

thf(func_def_323,type,
    sK184: term ).

thf(func_def_324,type,
    sK185: subst ).

thf(func_def_325,type,
    sK186: subst ).

thf(func_def_326,type,
    sK187: term ).

thf(func_def_327,type,
    sK188: term ).

thf(func_def_328,type,
    sK189: term ).

thf(func_def_329,type,
    sK190: term ).

thf(func_def_330,type,
    sK191: term ).

thf(func_def_331,type,
    sK192: term ).

thf(func_def_332,type,
    sK193: term ).

thf(func_def_333,type,
    sK194: term ).

thf(func_def_334,type,
    sK195: term ).

thf(func_def_335,type,
    sK196: term ).

thf(func_def_336,type,
    sK197: ( term > $o ) > term ).

thf(func_def_337,type,
    sK198: ( term > $o ) > term ).

thf(func_def_338,type,
    sK199: ( term > $o ) > term ).

thf(func_def_339,type,
    sK200: ( term > $o ) > subst > term ).

thf(func_def_340,type,
    sK201: ( term > $o ) > subst > term ).

thf(func_def_341,type,
    sK202: ( term > $o ) > subst > term ).

thf(func_def_342,type,
    sK203: ( term > $o ) > term ).

thf(func_def_343,type,
    sK204: ( term > $o ) > subst > term ).

thf(func_def_344,type,
    sK205: term > $o ).

thf(func_def_345,type,
    sK206: term > term ).

thf(func_def_346,type,
    sK207: subst ).

thf(func_def_347,type,
    sK208: term ).

thf(func_def_348,type,
    sK209: term ).

thf(func_def_349,type,
    sK210: term ).

thf(func_def_350,type,
    sK211: subst ).

thf(func_def_351,type,
    sK212: term ).

thf(func_def_352,type,
    sK213: term ).

thf(func_def_353,type,
    sK214: term ).

thf(func_def_354,type,
    sK215: term ).

thf(func_def_355,type,
    sK216: ( subst > term > term ) > subst ).

thf(func_def_356,type,
    sK217: ( subst > term > term ) > subst ).

thf(func_def_357,type,
    sK218: ( subst > term > term ) > subst ).

thf(func_def_358,type,
    sK219: ( subst > term > term ) > term ).

thf(func_def_359,type,
    sK220: ( subst > term > term ) > term ).

thf(func_def_360,type,
    sK221: ( subst > term > term ) > subst ).

thf(func_def_361,type,
    sK222: subst > term > term ).

thf(func_def_362,type,
    sK223: subst > term > term ).

thf(func_def_363,type,
    sK224: term ).

thf(func_def_364,type,
    sK225: subst ).

thf(func_def_365,type,
    sK226: ( subst > term > term ) > subst ).

thf(func_def_366,type,
    sK227: ( subst > term > term ) > subst ).

thf(func_def_367,type,
    sK228: ( subst > term > term ) > term ).

thf(func_def_368,type,
    sK229: subst > term > term ).

thf(func_def_369,type,
    sK230: term ).

thf(func_def_370,type,
    sK231: term ).

thf(func_def_371,type,
    sK232: term ).

thf(func_def_372,type,
    sK233: term ).

thf(func_def_373,type,
    sK234: term ).

thf(func_def_374,type,
    sK235: ( term > $o ) > term ).

thf(func_def_375,type,
    sK236: ( term > $o ) > term ).

thf(func_def_376,type,
    sK237: ( term > $o ) > term ).

thf(func_def_377,type,
    sK238: ( term > $o ) > term ).

thf(func_def_378,type,
    sK239: term > $o ).

thf(func_def_379,type,
    sK240: term > term ).

thf(func_def_380,type,
    sK241: term ).

thf(func_def_381,type,
    sK242: term ).

thf(func_def_382,type,
    sK243: ( subst > term > subst > $o ) > subst > term > term ).

thf(func_def_383,type,
    sK244: term > ( term > $o ) > term ).

thf(func_def_384,type,
    sK245: subst > term > subst > $o ).

thf(func_def_385,type,
    sK246: term > $o ).

thf(func_def_386,type,
    sK247: ( subst > term > term ) > subst ).

thf(func_def_387,type,
    sK248: ( subst > term > term ) > term ).

thf(func_def_388,type,
    sK249: ( subst > term > term ) > subst ).

thf(func_def_389,type,
    sK250: ( subst > term > term ) > term ).

thf(func_def_390,type,
    sK251: ( subst > term > term ) > subst ).

thf(func_def_391,type,
    sK252: ( subst > term > term ) > term ).

thf(func_def_392,type,
    sK253: term ).

thf(func_def_393,type,
    sK254: term ).

thf(func_def_394,type,
    sK255: subst ).

thf(f3,axiom,
    ( axvarid
    = ( ! [X0: term] :
          ( ( sub @ X0 @ id )
          = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarid) ).

thf(f22,axiom,
    ( lamnotvar
    = ( ! [X0: term] :
          ~ ( var @ ( lam @ X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',lamnotvar) ).

thf(f56,axiom,
    ( ( ^ [X0: subst,X1: subst > term > term] : ( lam @ ( X1 @ sh @ one ) ) )
    = hoaslam ),
    file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslam) ).

thf(f57,axiom,
    ( hoasvar
    = ( ^ [X0: subst,X1: term,X2: subst] : ( var @ ( sub @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasvar) ).

thf(f70,axiom,
    ! [X0: subst > term > term] :
      ( ( ! [X2: term,X3: subst,X1: subst] :
            ( ( sub @ ( X0 @ X1 @ X2 ) @ X3 )
            = ( X0 @ ( comp @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) )
       => ~ ( hoasvar @ id
            @ ( hoaslam @ id
              @ ^ [X1: subst,X2: term] : ( X0 @ X1 @ X2 ) )
            @ id ) )
      = hoaslamnotvar ),
    file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslamnotvar) ).

thf(f72,axiom,
    ( ( hoaslamnotvar_lthm = axvarid )
   => ( lamnotvar
     => hoaslamnotvar ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslamnotvar_lthm) ).

thf(f114,conjecture,
    hoaslamnotvar_lthm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

thf(f115,negated_conjecture,
    ~ hoaslamnotvar_lthm,
    inference(negated_conjecture,[status(cth)],[f114]) ).

thf(f148,plain,
    ( axvarid
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ( sub @ Y0 @ id )
          = Y0 ) ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f153,plain,
    ( lamnotvar
    = ( ! [X0: term] :
          ~ ( var @ ( lam @ X0 ) ) ) ),
    inference(rectify,[],[f22]) ).

thf(f154,plain,
    ( lamnotvar
    = ( !! @ term
      @ ^ [Y0: term] :
          ~ ( var @ ( lam @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f153]) ).

thf(f196,plain,
    ~ hoaslamnotvar_lthm,
    inference(rectify,[],[f115]) ).

thf(f197,plain,
    hoaslamnotvar_lthm != $true,
    inference(fool_elimination,[],[f196]) ).

thf(f212,plain,
    ! [X0: subst > term > term] :
      ( ( ! [X1: term,X2: subst,X3: subst] :
            ( ( X0 @ ( comp @ X3 @ X2 ) @ ( sub @ X1 @ X2 ) )
            = ( sub @ ( X0 @ X3 @ X1 ) @ X2 ) )
       => ~ ( hoasvar @ id
            @ ( hoaslam @ id
              @ ^ [X4: subst,X5: term] : ( X0 @ X4 @ X5 ) )
            @ id ) )
      = hoaslamnotvar ),
    inference(rectify,[],[f70]) ).

thf(f213,plain,
    ( hoaslamnotvar
    = ( !! @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( !! @ term
                    @ ^ [Y3: term] :
                        ( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) )
                        = ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 ) ) ) ) )
         => ~ ( hoasvar @ id
              @ ( hoaslam @ id
                @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
              @ id ) ) ) ),
    inference(fool_elimination,[],[f212]) ).

thf(f214,plain,
    ( ( hoaslamnotvar_lthm = axvarid )
   => ( lamnotvar
     => hoaslamnotvar ) ),
    inference(rectify,[],[f72]) ).

thf(f215,plain,
    ( hoaslamnotvar_lthm
    = ( axvarid
     => ( lamnotvar
       => hoaslamnotvar ) ) ),
    inference(fool_elimination,[],[f214]) ).

thf(f225,plain,
    ( hoasvar
    = ( ^ [Y0: subst,Y1: term,Y2: subst] : ( var @ ( sub @ Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f57]) ).

thf(f230,plain,
    ( hoaslam
    = ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
    inference(fool_elimination,[],[f56]) ).

thf(f322,plain,
    hoaslamnotvar_lthm != $true,
    inference(flattening,[],[f197]) ).

thf(f327,plain,
    ( lamnotvar
    = ( !! @ term
      @ ^ [Y0: term] :
          ~ ( var @ ( lam @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f154]) ).

thf(f328,plain,
    ( hoaslam
    = ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
    inference(cnf_transformation,[],[f230]) ).

thf(f329,plain,
    ( hoaslamnotvar_lthm
    = ( axvarid
     => ( lamnotvar
       => hoaslamnotvar ) ) ),
    inference(cnf_transformation,[],[f215]) ).

thf(f338,plain,
    ( hoaslamnotvar
    = ( !! @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( !! @ term
                    @ ^ [Y3: term] :
                        ( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) )
                        = ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 ) ) ) ) )
         => ~ ( hoasvar @ id
              @ ( hoaslam @ id
                @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
              @ id ) ) ) ),
    inference(cnf_transformation,[],[f213]) ).

thf(f339,plain,
    ( hoasvar
    = ( ^ [Y0: subst,Y1: term,Y2: subst] : ( var @ ( sub @ Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f225]) ).

thf(f341,plain,
    ( axvarid
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ( sub @ Y0 @ id )
          = Y0 ) ) ),
    inference(cnf_transformation,[],[f148]) ).

thf(f344,plain,
    hoaslamnotvar_lthm != $true,
    inference(cnf_transformation,[],[f322]) ).

thf(f363,plain,
    ( hoaslamnotvar
    = ( !! @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( !! @ term
                    @ ^ [Y3: term] :
                        ( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) )
                        = ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 ) ) ) ) )
         => ~ ( ^ [Y1: subst,Y2: term,Y3: subst] : ( var @ ( sub @ Y2 @ Y3 ) )
              @ id
              @ ( ^ [Y1: subst,Y2: subst > term > term] : ( lam @ ( Y2 @ sh @ one ) )
                @ id
                @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
              @ id ) ) ) ),
    inference(definition_unfolding,[],[f338,f339,f328]) ).

thf(f387,plain,
    ( ( hoaslamnotvar = $true )
    | ( ( !! @ ( subst > term > term )
        @ ^ [Y0: subst > term > term] :
            ( ( !! @ subst
              @ ^ [Y1: subst] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( !! @ term
                      @ ^ [Y3: term] :
                          ( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) )
                          = ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 ) ) ) ) )
           => ~ ( ^ [Y1: subst,Y2: term,Y3: subst] : ( var @ ( sub @ Y2 @ Y3 ) )
                @ id
                @ ( ^ [Y1: subst,Y2: subst > term > term] : ( lam @ ( Y2 @ sh @ one ) )
                  @ id
                  @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
                @ id ) ) )
      = $false ) ),
    inference(iff_proxy_clausification,[],[f363]) ).

thf(f400,plain,
    ( ( $false
      = ( ^ [Y0: subst > term > term] :
            ( ( !! @ subst
              @ ^ [Y1: subst] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( !! @ term
                      @ ^ [Y3: term] :
                          ( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) )
                          = ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 ) ) ) ) )
           => ~ ( ^ [Y1: subst,Y2: term,Y3: subst] : ( var @ ( sub @ Y2 @ Y3 ) )
                @ id
                @ ( ^ [Y1: subst,Y2: subst > term > term] : ( lam @ ( Y2 @ sh @ one ) )
                  @ id
                  @ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
                @ id ) )
        @ sK6 ) )
    | ( hoaslamnotvar = $true ) ),
    inference(sigma_proxy_clausification,[],[f387]) ).

thf(f401,plain,
    ( ( hoaslamnotvar = $true )
    | ( $false
      = ( ( !! @ subst
          @ ^ [Y0: subst] :
              ( !! @ subst
              @ ^ [Y1: subst] :
                  ( !! @ term
                  @ ^ [Y2: term] :
                      ( ( sK6 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y2 @ Y1 ) )
                      = ( sub @ ( sK6 @ Y0 @ Y2 ) @ Y1 ) ) ) ) )
       => ~ ( var @ ( sub @ ( lam @ ( sK6 @ sh @ one ) ) @ id ) ) ) ) ),
    inference(beta-eta_normalization,[],[f400]) ).

thf(f402,plain,
    ( ( $false
      = ( ~ ( var @ ( sub @ ( lam @ ( sK6 @ sh @ one ) ) @ id ) ) ) )
    | ( hoaslamnotvar = $true ) ),
    inference(imp_proxy_clausification,[],[f401]) ).

thf(f411,plain,
    ( ( ( var @ ( sub @ ( lam @ ( sK6 @ sh @ one ) ) @ id ) )
      = $true )
    | ( hoaslamnotvar = $true ) ),
    inference(not_proxy_clausification,[],[f402]) ).

thf(f1338,plain,
    ( ( $true
      = ( !! @ term
        @ ^ [Y0: term] :
            ~ ( var @ ( lam @ Y0 ) ) ) )
    | ( lamnotvar = $false ) ),
    inference(iff_proxy_clausification,[],[f327]) ).

thf(f1339,plain,
    ! [X1: term] :
      ( ( ( ^ [Y0: term] :
              ~ ( var @ ( lam @ Y0 ) )
          @ X1 )
        = $true )
      | ( lamnotvar = $false ) ),
    inference(pi_proxy_clausification,[],[f1338]) ).

thf(f1340,plain,
    ! [X1: term] :
      ( ( lamnotvar = $false )
      | ( $true
        = ( ~ ( var @ ( lam @ X1 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f1339]) ).

thf(f1341,plain,
    ! [X1: term] :
      ( ( lamnotvar = $false )
      | ( $false
        = ( var @ ( lam @ X1 ) ) ) ),
    inference(not_proxy_clausification,[],[f1340]) ).

thf(f1599,plain,
    ( ( $false
      = ( axvarid
       => ( lamnotvar
         => hoaslamnotvar ) ) )
    | ( hoaslamnotvar_lthm = $true ) ),
    inference(iff_proxy_clausification,[],[f329]) ).

thf(f1603,plain,
    ( ( $false
      = ( lamnotvar
       => hoaslamnotvar ) )
    | ( hoaslamnotvar_lthm = $true ) ),
    inference(imp_proxy_clausification,[],[f1599]) ).

thf(f1604,plain,
    ( ( axvarid = $true )
    | ( hoaslamnotvar_lthm = $true ) ),
    inference(imp_proxy_clausification,[],[f1599]) ).

thf(f1605,plain,
    ( ( hoaslamnotvar_lthm = $true )
    | ( hoaslamnotvar = $false ) ),
    inference(imp_proxy_clausification,[],[f1603]) ).

thf(f1606,plain,
    ( ( lamnotvar = $true )
    | ( hoaslamnotvar_lthm = $true ) ),
    inference(imp_proxy_clausification,[],[f1603]) ).

thf(f1702,plain,
    ( ( axvarid = $false )
    | ( ( !! @ term
        @ ^ [Y0: term] :
            ( ( sub @ Y0 @ id )
            = Y0 ) )
      = $true ) ),
    inference(iff_proxy_clausification,[],[f341]) ).

thf(f1703,plain,
    ! [X1: term] :
      ( ( axvarid = $false )
      | ( ( ^ [Y0: term] :
              ( ( sub @ Y0 @ id )
              = Y0 )
          @ X1 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f1702]) ).

thf(f1704,plain,
    ! [X1: term] :
      ( ( axvarid = $false )
      | ( ( ( sub @ X1 @ id )
          = X1 )
        = $true ) ),
    inference(beta-eta_normalization,[],[f1703]) ).

thf(f1705,plain,
    ! [X1: term] :
      ( ( axvarid = $false )
      | ( ( sub @ X1 @ id )
        = X1 ) ),
    inference(equality_proxy_clausification,[],[f1704]) ).

thf(f1815,definition,
    ( spl256_6
  <=> ( hoaslamnotvar = $false ) ),
    introduced(definition,[new_symbols(definition,[spl256_6])],[avatar_definition]) ).

thf(f1817,plain,
    ( ( hoaslamnotvar = $false )
    | ~ spl256_6 ),
    inference(avatar_component_clause,[],[f1815]) ).

thf(f1820,definition,
    ( spl256_7
  <=> ( hoaslamnotvar = $true ) ),
    introduced(definition,[new_symbols(definition,[spl256_7])],[avatar_definition]) ).

thf(f1822,plain,
    ( ( hoaslamnotvar = $true )
    | ~ spl256_7 ),
    inference(avatar_component_clause,[],[f1820]) ).

thf(f1828,definition,
    ( spl256_9
  <=> ( ( var @ ( sub @ ( lam @ ( sK6 @ sh @ one ) ) @ id ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl256_9])],[avatar_definition]) ).

thf(f1830,plain,
    ( ( ( var @ ( sub @ ( lam @ ( sK6 @ sh @ one ) ) @ id ) )
      = $true )
    | ~ spl256_9 ),
    inference(avatar_component_clause,[],[f1828]) ).

thf(f1831,plain,
    ( spl256_9
    | spl256_7 ),
    inference(avatar_split_clause,[],[f411,f1820,f1828]) ).

thf(f2668,definition,
    ( spl256_213
  <=> ! [X1: term] :
        ( $false
        = ( var @ ( lam @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl256_213])],[avatar_definition]) ).

thf(f2669,plain,
    ( ! [X1: term] :
        ( $false
        = ( var @ ( lam @ X1 ) ) )
    | ~ spl256_213 ),
    inference(avatar_component_clause,[],[f2668]) ).

thf(f2671,definition,
    ( spl256_214
  <=> ( lamnotvar = $false ) ),
    introduced(definition,[new_symbols(definition,[spl256_214])],[avatar_definition]) ).

thf(f2673,plain,
    ( ( lamnotvar = $false )
    | ~ spl256_214 ),
    inference(avatar_component_clause,[],[f2671]) ).

thf(f2674,plain,
    ( spl256_213
    | spl256_214 ),
    inference(avatar_split_clause,[],[f1341,f2671,f2668]) ).

thf(f2680,definition,
    ( spl256_216
  <=> ( lamnotvar = $true ) ),
    introduced(definition,[new_symbols(definition,[spl256_216])],[avatar_definition]) ).

thf(f2682,plain,
    ( ( lamnotvar = $true )
    | ~ spl256_216 ),
    inference(avatar_component_clause,[],[f2680]) ).

thf(f2913,definition,
    ( spl256_271
  <=> ( axvarid = $false ) ),
    introduced(definition,[new_symbols(definition,[spl256_271])],[avatar_definition]) ).

thf(f2915,plain,
    ( ( axvarid = $false )
    | ~ spl256_271 ),
    inference(avatar_component_clause,[],[f2913]) ).

thf(f2922,definition,
    ( spl256_273
  <=> ( hoaslamnotvar_lthm = $true ) ),
    introduced(definition,[new_symbols(definition,[spl256_273])],[avatar_definition]) ).

thf(f2926,definition,
    ( spl256_274
  <=> ( axvarid = $true ) ),
    introduced(definition,[new_symbols(definition,[spl256_274])],[avatar_definition]) ).

thf(f2928,plain,
    ( ( axvarid = $true )
    | ~ spl256_274 ),
    inference(avatar_component_clause,[],[f2926]) ).

thf(f2929,plain,
    ( spl256_273
    | spl256_274 ),
    inference(avatar_split_clause,[],[f1604,f2926,f2922]) ).

thf(f2930,plain,
    ( spl256_273
    | spl256_216 ),
    inference(avatar_split_clause,[],[f1606,f2680,f2922]) ).

thf(f2931,plain,
    ( spl256_273
    | spl256_6 ),
    inference(avatar_split_clause,[],[f1605,f1815,f2922]) ).

thf(f3041,definition,
    ( spl256_301
  <=> ! [X1: term] :
        ( ( sub @ X1 @ id )
        = X1 ) ),
    introduced(definition,[new_symbols(definition,[spl256_301])],[avatar_definition]) ).

thf(f3042,plain,
    ( ! [X1: term] :
        ( ( sub @ X1 @ id )
        = X1 )
    | ~ spl256_301 ),
    inference(avatar_component_clause,[],[f3041]) ).

thf(f3043,plain,
    ( spl256_271
    | spl256_301 ),
    inference(avatar_split_clause,[],[f1705,f3041,f2913]) ).

thf(f3120,plain,
    ~ spl256_273,
    inference(avatar_split_clause,[],[f344,f2922]) ).

thf(f3121,plain,
    ( ( $false = $true )
    | ~ spl256_271
    | ~ spl256_274 ),
    inference(forward_demodulation,[],[f2928,f2915]) ).

thf(f3122,plain,
    ( $false
    | ~ spl256_271
    | ~ spl256_274 ),
    inference(trivial_inequality_removal,[],[f3121]) ).

thf(f3123,plain,
    ( ~ spl256_271
    | ~ spl256_274 ),
    inference(avatar_contradiction_clause,[],[f3122]) ).

thf(f3166,plain,
    ( ( $false = $true )
    | ~ spl256_6
    | ~ spl256_7 ),
    inference(forward_demodulation,[],[f1822,f1817]) ).

thf(f3167,plain,
    ( $false
    | ~ spl256_6
    | ~ spl256_7 ),
    inference(trivial_inequality_removal,[],[f3166]) ).

thf(f3168,plain,
    ( ~ spl256_6
    | ~ spl256_7 ),
    inference(avatar_contradiction_clause,[],[f3167]) ).

thf(f3175,plain,
    ( ( $false = $true )
    | ~ spl256_214
    | ~ spl256_216 ),
    inference(superposition,[],[f2673,f2682]) ).

thf(f3181,plain,
    ( $false
    | ~ spl256_214
    | ~ spl256_216 ),
    inference(trivial_inequality_removal,[],[f3175]) ).

thf(f3182,plain,
    ( ~ spl256_214
    | ~ spl256_216 ),
    inference(avatar_contradiction_clause,[],[f3181]) ).

thf(f3384,plain,
    ( ( ( var @ ( lam @ ( sK6 @ sh @ one ) ) )
      = $true )
    | ~ spl256_9
    | ~ spl256_301 ),
    inference(forward_demodulation,[],[f1830,f3042]) ).

thf(f3385,plain,
    ( ( $false = $true )
    | ~ spl256_9
    | ~ spl256_213
    | ~ spl256_301 ),
    inference(forward_demodulation,[],[f3384,f2669]) ).

thf(f3386,plain,
    ( $false
    | ~ spl256_9
    | ~ spl256_213
    | ~ spl256_301 ),
    inference(trivial_inequality_removal,[],[f3385]) ).

thf(f3387,plain,
    ( ~ spl256_9
    | ~ spl256_213
    | ~ spl256_301 ),
    inference(avatar_contradiction_clause,[],[f3386]) ).

cnf(s5,plain,
    ( spl256_7
    | spl256_9 ),
    inference(sat_conversion,[],[f1831]) ).

cnf(s179,plain,
    ( spl256_213
    | spl256_214 ),
    inference(sat_conversion,[],[f2674]) ).

cnf(s220,plain,
    ( spl256_273
    | spl256_274 ),
    inference(sat_conversion,[],[f2929]) ).

cnf(s221,plain,
    ( spl256_216
    | spl256_273 ),
    inference(sat_conversion,[],[f2930]) ).

cnf(s222,plain,
    ( spl256_6
    | spl256_273 ),
    inference(sat_conversion,[],[f2931]) ).

cnf(s244,plain,
    ( spl256_271
    | spl256_301 ),
    inference(sat_conversion,[],[f3043]) ).

cnf(s259,plain,
    ~ spl256_273,
    inference(sat_conversion,[],[f3120]) ).

cnf(s260,plain,
    ( ~ spl256_271
    | ~ spl256_274 ),
    inference(sat_conversion,[],[f3123]) ).

cnf(s263,plain,
    ( ~ spl256_6
    | ~ spl256_7 ),
    inference(sat_conversion,[],[f3168]) ).

cnf(s266,plain,
    ( ~ spl256_214
    | ~ spl256_216 ),
    inference(sat_conversion,[],[f3182]) ).

cnf(s292,plain,
    ( ~ spl256_9
    | ~ spl256_213
    | ~ spl256_301 ),
    inference(sat_conversion,[],[f3387]) ).

cnf(s294,plain,
    spl256_6,
    inference(rat,[],[s222,s259]) ).

cnf(s295,plain,
    ~ spl256_7,
    inference(rat,[],[s263,s294]) ).

cnf(s296,plain,
    spl256_216,
    inference(rat,[],[s221,s259]) ).

cnf(s297,plain,
    ~ spl256_214,
    inference(rat,[],[s266,s296]) ).

cnf(s298,plain,
    spl256_274,
    inference(rat,[],[s220,s259]) ).

cnf(s299,plain,
    ~ spl256_271,
    inference(rat,[],[s260,s298]) ).

cnf(s300,plain,
    spl256_301,
    inference(rat,[],[s244,s299]) ).

cnf(s302,plain,
    spl256_213,
    inference(rat,[],[s179,s297]) ).

cnf(s303,plain,
    ~ spl256_9,
    inference(rat,[],[s292,s300,s302]) ).

cnf(s305,plain,
    $false,
    inference(rat,[],[s5,s303,s295]) ).

thf(f3388,plain,
    $false,
    inference(avatar_sat_refutation,[],[s305]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG260^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n008.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 17:34:39 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running higher-order theorem proving
% 0.20/0.27  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.39  % (3473440)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.51/0.39  % (3473450)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=38415414:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.51/0.39  % (3473451)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.51/0.39  % (3473451)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.51/0.39  % (3473445)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3112910595:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.51/0.39  % (3473446)lrs+10_16_si=on:nwc=1.5:random_seed=4034180065:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.51/0.39  % (3473447)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2370434468:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.51/0.39  % (3473448)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1538958003:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.51/0.39  % (3473449)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3110201179:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.51/0.39  % (3473451)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2046655460:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.51/0.39  % (3473447)Instruction limit reached! 
% 0.51/0.39  % (3473447)------------------------------
% 0.51/0.39  % (3473447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.39  % (3473447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.39  % (3473447)CaDiCaL version: 2.1.3
% 0.51/0.39  % (3473447)Termination reason: Instruction limit
% 0.51/0.39  % (3473447)Termination phase: shuffling
% 0.51/0.39  % (3473447)Time elapsed: 0.002 s
% 0.51/0.39  % (3473447)Peak memory usage: 10 MB
% 0.51/0.39  % (3473447)Instructions burned: 4 (million)
% 0.51/0.39  % (3473446)Instruction limit reached! 
% 0.51/0.39  % (3473446)------------------------------
% 0.51/0.39  % (3473446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.39  % (3473446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.39  % (3473446)CaDiCaL version: 2.1.3
% 0.51/0.39  % (3473446)Termination reason: Instruction limit
% 0.51/0.39  % (3473446)Termination phase: shuffling
% 0.51/0.39  % (3473446)Time elapsed: 0.008 s
% 0.51/0.39  % (3473446)Peak memory usage: 10 MB
% 0.51/0.39  % (3473446)Instructions burned: 18 (million)
% 0.51/0.39  % (3473450)Instruction limit reached! 
% 0.51/0.39  % (3473450)------------------------------
% 0.51/0.39  % (3473450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.39  % (3473450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.39  % (3473450)CaDiCaL version: 2.1.3
% 0.51/0.39  % (3473450)Termination reason: Instruction limit
% 0.51/0.39  % (3473450)Termination phase: Clausification
% 0.51/0.39  % (3473450)Time elapsed: 0.021 s
% 0.51/0.39  % (3473450)Peak memory usage: 12 MB
% 0.51/0.39  % (3473450)Instructions burned: 86 (million)
% 0.51/0.39  % (3473449)Instruction limit reached! 
% 0.51/0.39  % (3473449)------------------------------
% 0.51/0.39  % (3473449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.39  % (3473449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.39  % (3473449)CaDiCaL version: 2.1.3
% 0.51/0.39  % (3473449)Termination reason: Instruction limit
% 0.51/0.39  % (3473449)Termination phase: Preprocessing 3
% 0.51/0.39  % (3473449)Time elapsed: 0.013 s
% 0.51/0.39  % (3473449)Peak memory usage: 11 MB
% 0.51/0.39  % (3473449)Instructions burned: 28 (million)
% 0.51/0.39  % (3473459)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3495402854:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.39  % (3473461)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.42  % (3473459)Instruction limit reached! 
% 0.51/0.42  % (3473459)------------------------------
% 0.51/0.42  % (3473459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42  % (3473459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42  % (3473459)CaDiCaL version: 2.1.3
% 0.51/0.42  % (3473459)Termination reason: Instruction limit
% 0.51/0.42  % (3473459)Termination phase: shuffling
% 0.51/0.42  % (3473459)Time elapsed: 0.002 s
% 0.51/0.42  % (3473459)Peak memory usage: 10 MB
% 0.51/0.42  % (3473459)Instructions burned: 4 (million)
% 0.51/0.42  % (3473461)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3111155927:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.51/0.42  % (3473461)Instruction limit reached! 
% 0.51/0.42  % (3473461)------------------------------
% 0.51/0.42  % (3473461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42  % (3473461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42  % (3473461)CaDiCaL version: 2.1.3
% 0.51/0.42  % (3473461)Termination reason: Instruction limit
% 0.51/0.42  % (3473461)Termination phase: shuffling
% 0.51/0.42  % (3473461)Time elapsed: 0.003 s
% 0.51/0.42  % (3473461)Peak memory usage: 10 MB
% 0.51/0.42  % (3473461)Instructions burned: 15 (million)
% 0.51/0.42  % (3473460)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=885935550:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.51/0.42  % (3473460)Instruction limit reached! 
% 0.51/0.42  % (3473460)------------------------------
% 0.51/0.42  % (3473460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42  % (3473460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42  % (3473460)CaDiCaL version: 2.1.3
% 0.51/0.42  % (3473460)Termination reason: Instruction limit
% 0.51/0.42  % (3473460)Termination phase: shuffling
% 0.51/0.42  % (3473460)Time elapsed: 0.003 s
% 0.51/0.42  % (3473460)Peak memory usage: 10 MB
% 0.51/0.42  % (3473460)Instructions burned: 7 (million)
% 0.51/0.42  % (3473462)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1132165950:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.51/0.42  % (3473445)Instruction limit reached! 
% 0.51/0.42  % (3473445)------------------------------
% 0.51/0.42  % (3473445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42  % (3473445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42  % (3473445)CaDiCaL version: 2.1.3
% 0.51/0.42  % (3473445)Termination reason: Instruction limit
% 0.51/0.42  % (3473445)Termination phase: Function definition elimination
% 0.51/0.42  % (3473445)Time elapsed: 0.039 s
% 0.51/0.42  % (3473445)Peak memory usage: 12 MB
% 0.51/0.42  % (3473445)Instructions burned: 87 (million)
% 0.51/0.42  % (3473467)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2765746815:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.51/0.42  % (3473465)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.51/0.42  % (3473465)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.42  % (3473462)Instruction limit reached! 
% 0.51/0.42  % (3473462)------------------------------
% 0.51/0.42  % (3473462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.42  % (3473462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.42  % (3473462)CaDiCaL version: 2.1.3
% 0.51/0.42  % (3473462)Termination reason: Instruction limit
% 0.51/0.42  % (3473462)Termination phase: shuffling
% 0.51/0.42  % (3473462)Time elapsed: 0.007 s
% 0.51/0.42  % (3473462)Peak memory usage: 10 MB
% 0.51/0.42  % (3473462)Instructions burned: 14 (million)
% 0.51/0.42  % (3473465)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2571959703:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.51/0.42  % (3473468)lrs+10_1_si=on:cs=on:random_seed=3218183199:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.51/0.42  % (3473471)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.51/0.45  % (3473468)Instruction limit reached! 
% 0.51/0.45  % (3473468)------------------------------
% 0.51/0.45  % (3473468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45  % (3473468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45  % (3473468)CaDiCaL version: 2.1.3
% 0.51/0.45  % (3473468)Termination reason: Instruction limit
% 0.51/0.45  % (3473468)Termination phase: shuffling
% 0.51/0.45  % (3473468)Time elapsed: 0.004 s
% 0.51/0.45  % (3473468)Peak memory usage: 10 MB
% 0.51/0.45  % (3473468)Instructions burned: 9 (million)
% 0.51/0.45  % (3473465)Instruction limit reached! 
% 0.51/0.45  % (3473465)------------------------------
% 0.51/0.45  % (3473465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45  % (3473465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45  % (3473465)CaDiCaL version: 2.1.3
% 0.51/0.45  % (3473465)Termination reason: Instruction limit
% 0.51/0.45  % (3473465)Termination phase: Property scanning
% 0.51/0.45  % (3473465)Time elapsed: 0.013 s
% 0.51/0.45  % (3473465)Peak memory usage: 10 MB
% 0.51/0.45  % (3473465)Instructions burned: 30 (million)
% 0.51/0.45  % (3473471)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3654942940:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.45  % (3473467)Instruction limit reached! 
% 0.51/0.45  % (3473467)------------------------------
% 0.51/0.45  % (3473467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45  % (3473467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45  % (3473467)CaDiCaL version: 2.1.3
% 0.51/0.45  % (3473467)Termination reason: Instruction limit
% 0.51/0.45  % (3473467)Termination phase: Saturation
% 0.51/0.45  % (3473467)Time elapsed: 0.019 s
% 0.51/0.45  % (3473467)Peak memory usage: 12 MB
% 0.51/0.45  % (3473467)Instructions burned: 87 (million)
% 0.51/0.45  % (3473471)Instruction limit reached! 
% 0.51/0.45  % (3473471)------------------------------
% 0.51/0.45  % (3473471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45  % (3473471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45  % (3473471)CaDiCaL version: 2.1.3
% 0.51/0.45  % (3473471)Termination reason: Instruction limit
% 0.51/0.45  % (3473471)Termination phase: shuffling
% 0.51/0.45  % (3473471)Time elapsed: 0.002 s
% 0.51/0.45  % (3473471)Peak memory usage: 10 MB
% 0.51/0.45  % (3473471)Instructions burned: 4 (million)
% 0.51/0.45  % (3473472)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1360213388:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.51/0.45  % (3473451)Instruction limit reached! 
% 0.51/0.45  % (3473451)------------------------------
% 0.51/0.45  % (3473451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45  % (3473451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45  % (3473451)CaDiCaL version: 2.1.3
% 0.51/0.45  % (3473451)Termination reason: Instruction limit
% 0.51/0.45  % (3473451)Termination phase: Saturation
% 0.51/0.45  % (3473451)Time elapsed: 0.066 s
% 0.51/0.45  % (3473451)Peak memory usage: 13 MB
% 0.51/0.45  % (3473451)Instructions burned: 158 (million)
% 0.51/0.45  % (3473478)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2662060237:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.51/0.45  % (3473478)Instruction limit reached! 
% 0.51/0.45  % (3473478)------------------------------
% 0.51/0.45  % (3473478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.45  % (3473478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.45  % (3473478)CaDiCaL version: 2.1.3
% 0.51/0.45  % (3473478)Termination reason: Instruction limit
% 0.51/0.45  % (3473478)Termination phase: shuffling
% 0.51/0.45  % (3473478)Time elapsed: 0.004 s
% 0.51/0.45  % (3473478)Peak memory usage: 10 MB
% 0.51/0.45  % (3473478)Instructions burned: 18 (million)
% 0.51/0.45  % (3473475)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2236155534:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.51/0.45  % (3473472)Refutation not found, incomplete strategy
% 0.51/0.45  % (3473472)------------------------------
% 1.27/0.49  % (3473472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.49  % (3473472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.49  % (3473472)CaDiCaL version: 2.1.3
% 1.27/0.49  % (3473472)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.49  % (3473472)Time elapsed: 0.012 s
% 1.27/0.49  % (3473472)Peak memory usage: 12 MB
% 1.27/0.49  % (3473472)Instructions burned: 25 (million)
% 1.27/0.49  % (3473472)------------------------------
% 1.27/0.49  % (3473472)------------------------------
% 1.27/0.49  % (3473476)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=645420037:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.27/0.49  % (3473479)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1515596356:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.27/0.49  % (3473484)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=102097365:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.27/0.49  % (3473484)Instruction limit reached! 
% 1.27/0.49  % (3473484)------------------------------
% 1.27/0.49  % (3473484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.49  % (3473484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.49  % (3473484)CaDiCaL version: 2.1.3
% 1.27/0.49  % (3473484)Termination reason: Instruction limit
% 1.27/0.49  % (3473484)Termination phase: shuffling
% 1.27/0.49  % (3473484)Time elapsed: 0.001 s
% 1.27/0.49  % (3473484)Peak memory usage: 10 MB
% 1.27/0.49  % (3473484)Instructions burned: 3 (million)
% 1.27/0.49  % (3473481)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3392922887:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.27/0.49  % (3473476)Instruction limit reached! 
% 1.27/0.49  % (3473476)------------------------------
% 1.27/0.49  % (3473476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.49  % (3473476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.49  % (3473476)CaDiCaL version: 2.1.3
% 1.27/0.49  % (3473476)Termination reason: Instruction limit
% 1.27/0.49  % (3473476)Termination phase: Preprocessing 1
% 1.27/0.49  % (3473476)Time elapsed: 0.011 s
% 1.27/0.49  % (3473476)Peak memory usage: 10 MB
% 1.27/0.49  % (3473476)Instructions burned: 25 (million)
% 1.27/0.49  % (3473481)Instruction limit reached! 
% 1.27/0.49  % (3473481)------------------------------
% 1.27/0.49  % (3473481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.49  % (3473481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.49  % (3473481)CaDiCaL version: 2.1.3
% 1.27/0.49  % (3473481)Termination reason: Instruction limit
% 1.27/0.49  % (3473481)Termination phase: shuffling
% 1.27/0.49  % (3473481)Time elapsed: 0.007 s
% 1.27/0.49  % (3473481)Peak memory usage: 10 MB
% 1.27/0.49  % (3473481)Instructions burned: 16 (million)
% 1.27/0.49  % (3473486)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2561423761:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.27/0.49  % (3473475)Refutation not found, incomplete strategy
% 1.27/0.49  % (3473475)------------------------------
% 1.27/0.49  % (3473475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.49  % (3473475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.49  % (3473475)CaDiCaL version: 2.1.3
% 1.27/0.49  % (3473475)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.49  % (3473475)Time elapsed: 0.021 s
% 1.27/0.49  % (3473475)Peak memory usage: 12 MB
% 1.27/0.49  % (3473475)Instructions burned: 49 (million)
% 1.27/0.49  % (3473489)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2432166949:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.27/0.49  % (3473475)------------------------------
% 1.27/0.49  % (3473475)------------------------------
% 1.27/0.49  % (3473489)Instruction limit reached! 
% 1.27/0.49  % (3473489)------------------------------
% 1.27/0.49  % (3473489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.49  % (3473489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.49  % (3473489)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473489)Termination reason: Instruction limit
% 1.27/0.50  % (3473489)Termination phase: Property scanning
% 1.27/0.50  % (3473489)Time elapsed: 0.006 s
% 1.27/0.50  % (3473489)Peak memory usage: 10 MB
% 1.27/0.50  % (3473489)Instructions burned: 28 (million)
% 1.27/0.50  % (3473486)Instruction limit reached! 
% 1.27/0.50  % (3473486)------------------------------
% 1.27/0.50  % (3473486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473486)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473486)Termination reason: Instruction limit
% 1.27/0.50  % (3473486)Termination phase: Property scanning
% 1.27/0.50  % (3473486)Time elapsed: 0.012 s
% 1.27/0.50  % (3473486)Peak memory usage: 10 MB
% 1.27/0.50  % (3473486)Instructions burned: 27 (million)
% 1.27/0.50  % (3473491)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=847191871:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.27/0.50  % (3473493)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.27/0.50  % (3473493)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.27/0.50  % (3473495)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.27/0.50  % (3473496)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3029002598:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.27/0.50  % (3473493)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=828818967:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.27/0.50  % (3473495)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1600475882:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.27/0.50  % (3473495)Instruction limit reached! 
% 1.27/0.50  % (3473495)------------------------------
% 1.27/0.50  % (3473495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473495)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473495)Termination reason: Instruction limit
% 1.27/0.50  % (3473495)Termination phase: shuffling
% 1.27/0.50  % (3473495)Time elapsed: 0.004 s
% 1.27/0.50  % (3473495)Peak memory usage: 10 MB
% 1.27/0.50  % (3473495)Instructions burned: 9 (million)
% 1.27/0.50  % (3473496)Instruction limit reached! 
% 1.27/0.50  % (3473496)------------------------------
% 1.27/0.50  % (3473496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473496)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473493)Instruction limit reached! 
% 1.27/0.50  % (3473493)------------------------------
% 1.27/0.50  % (3473493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473496)Termination reason: Instruction limit
% 1.27/0.50  % (3473496)Termination phase: Property scanning
% 1.27/0.50  % (3473496)Time elapsed: 0.007 s
% 1.27/0.50  % (3473496)Peak memory usage: 10 MB
% 1.27/0.50  % (3473496)Instructions burned: 32 (million)
% 1.27/0.50  % (3473493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473493)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473493)Termination reason: Instruction limit
% 1.27/0.50  % (3473493)Termination phase: shuffling
% 1.27/0.50  % (3473493)Time elapsed: 0.007 s
% 1.27/0.50  % (3473493)Peak memory usage: 10 MB
% 1.27/0.50  % (3473493)Instructions burned: 15 (million)
% 1.27/0.50  % (3473498)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2413495782:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.27/0.50  % (3473498)Instruction limit reached! 
% 1.27/0.50  % (3473498)------------------------------
% 1.27/0.50  % (3473498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473498)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473498)Termination reason: Instruction limit
% 1.27/0.50  % (3473498)Termination phase: shuffling
% 1.27/0.50  % (3473498)Time elapsed: 0.004 s
% 1.27/0.50  % (3473498)Peak memory usage: 10 MB
% 1.27/0.50  % (3473498)Instructions burned: 9 (million)
% 1.27/0.50  % (3473503)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3560486044:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.27/0.50  % (3473491)Instruction limit reached! 
% 1.27/0.50  % (3473491)------------------------------
% 1.27/0.50  % (3473491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473491)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473491)Termination reason: Instruction limit
% 1.27/0.50  % (3473491)Termination phase: Property scanning
% 1.27/0.50  % (3473491)Time elapsed: 0.028 s
% 1.27/0.50  % (3473491)Peak memory usage: 12 MB
% 1.27/0.50  % (3473491)Instructions burned: 62 (million)
% 1.27/0.50  % (3473503)Instruction limit reached! 
% 1.27/0.50  % (3473503)------------------------------
% 1.27/0.50  % (3473503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473503)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473503)Termination reason: Instruction limit
% 1.27/0.50  % (3473503)Termination phase: Property scanning
% 1.27/0.50  % (3473503)Time elapsed: 0.005 s
% 1.27/0.50  % (3473503)Peak memory usage: 10 MB
% 1.27/0.50  % (3473503)Instructions burned: 21 (million)
% 1.27/0.50  % (3473502)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1069216805:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.27/0.50  % (3473504)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2721260096:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.27/0.50  % (3473508)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=767418902:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.27/0.50  % (3473506)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3451949056:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.27/0.50  % (3473502)Instruction limit reached! 
% 1.27/0.50  % (3473502)------------------------------
% 1.27/0.50  % (3473502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473502)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473502)Termination reason: Instruction limit
% 1.27/0.50  % (3473502)Termination phase: Property scanning
% 1.27/0.50  % (3473502)Time elapsed: 0.011 s
% 1.27/0.50  % (3473502)Peak memory usage: 10 MB
% 1.27/0.50  % (3473502)Instructions burned: 24 (million)
% 1.27/0.50  % (3473509)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1970477818:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.27/0.50  % (3473508)Refutation not found, incomplete strategy
% 1.27/0.50  % (3473508)------------------------------
% 1.27/0.50  % (3473508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473508)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473508)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.50  % (3473508)Time elapsed: 0.014 s
% 1.27/0.50  % (3473508)Peak memory usage: 13 MB
% 1.27/0.50  % (3473508)Instructions burned: 59 (million)
% 1.27/0.50  % (3473508)------------------------------
% 1.27/0.50  % (3473508)------------------------------
% 1.27/0.50  % (3473514)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.27/0.50  % (3473514)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1818573242:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.27/0.50  % (3473516)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=277096216:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.27/0.50  % (3473514)Instruction limit reached! 
% 1.27/0.50  % (3473514)------------------------------
% 1.27/0.50  % (3473514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473514)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473514)Termination reason: Instruction limit
% 1.27/0.50  % (3473514)Termination phase: shuffling
% 1.27/0.50  % (3473514)Time elapsed: 0.004 s
% 1.27/0.50  % (3473514)Peak memory usage: 10 MB
% 1.27/0.50  % (3473514)Instructions burned: 9 (million)
% 1.27/0.50  % (3473509)Instruction limit reached! 
% 1.27/0.50  % (3473509)------------------------------
% 1.27/0.50  % (3473509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473509)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473509)Termination reason: Instruction limit
% 1.27/0.50  % (3473509)Termination phase: Property scanning
% 1.27/0.50  % (3473509)Time elapsed: 0.019 s
% 1.27/0.50  % (3473509)Peak memory usage: 11 MB
% 1.27/0.50  % (3473509)Instructions burned: 45 (million)
% 1.27/0.50  % (3473479) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3473440-3473479"...
% 1.27/0.50  % (3473479)...printing done.
% 1.27/0.50  % (3473479)Refutation found. Thanks to Tanya!
% 1.27/0.50  % SZS status Theorem for theBenchmark
% 1.27/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.50  % (3473479)------------------------------
% 1.27/0.50  % (3473479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50  % (3473479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50  % (3473479)CaDiCaL version: 2.1.3
% 1.27/0.50  % (3473479)Termination reason: Refutation
% 1.27/0.50  % (3473479)Time elapsed: 0.098 s
% 1.27/0.50  % (3473479)Peak memory usage: 15 MB
% 1.27/0.50  % (3473479)Instructions burned: 218 (million)
% 1.27/0.50  % (3473440)Success in time 0.222 s
% 1.27/0.50  % Vampire exiting
%------------------------------------------------------------------------------