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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW842_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 : Tue Sep 29 01:37:55 PM UTC 2026

% Result   : Unsatisfiable 14.69s 3.04s
% Output   : Refutation 16.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   53 (  52 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  17   ~;  11   |;  10   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number arithmetic     :   44 (   0 atm;  21 fun;  23 num;   0 var)
%            Number of types       :   63 (  60 usr;   2 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :  531 ( 526 usr;  95 con; 0-6 aty)
%            Number of variables   :   65 (  58   !;   7   ?;  65   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'S2': $tType ).

tff(type_def_6,type,
    'S31': $tType ).

tff(type_def_7,type,
    'S8': $tType ).

tff(type_def_8,type,
    'S35': $tType ).

tff(type_def_9,type,
    'S9': $tType ).

tff(type_def_10,type,
    'S10': $tType ).

tff(type_def_11,type,
    'S42': $tType ).

tff(type_def_12,type,
    'S43': $tType ).

tff(type_def_13,type,
    'S12': $tType ).

tff(type_def_14,type,
    'S47': $tType ).

tff(type_def_15,type,
    'S55': $tType ).

tff(type_def_16,type,
    'S4': $tType ).

tff(type_def_17,type,
    'S54': $tType ).

tff(type_def_18,type,
    'S50': $tType ).

tff(type_def_19,type,
    'S6': $tType ).

tff(type_def_20,type,
    'S20': $tType ).

tff(type_def_21,type,
    'S41': $tType ).

tff(type_def_22,type,
    'S23': $tType ).

tff(type_def_23,type,
    'S5': $tType ).

tff(type_def_24,type,
    'S25': $tType ).

tff(type_def_25,type,
    'S28': $tType ).

tff(type_def_26,type,
    'S32': $tType ).

tff(type_def_27,type,
    'S1': $tType ).

tff(type_def_28,type,
    'S3': $tType ).

tff(type_def_29,type,
    'S49': $tType ).

tff(type_def_30,type,
    'S52': $tType ).

tff(type_def_31,type,
    'S19': $tType ).

tff(type_def_32,type,
    'S39': $tType ).

tff(type_def_33,type,
    'S13': $tType ).

tff(type_def_34,type,
    'S33': $tType ).

tff(type_def_35,type,
    'S40': $tType ).

tff(type_def_36,type,
    'S22': $tType ).

tff(type_def_37,type,
    'S37': $tType ).

tff(type_def_38,type,
    'S38': $tType ).

tff(type_def_39,type,
    'S30': $tType ).

tff(type_def_40,type,
    'S60': $tType ).

tff(type_def_41,type,
    'S46': $tType ).

tff(type_def_42,type,
    'S53': $tType ).

tff(type_def_43,type,
    'S59': $tType ).

tff(type_def_44,type,
    'S45': $tType ).

tff(type_def_45,type,
    'S24': $tType ).

tff(type_def_46,type,
    'S56': $tType ).

tff(type_def_47,type,
    'S14': $tType ).

tff(type_def_48,type,
    'S51': $tType ).

tff(type_def_49,type,
    'S16': $tType ).

tff(type_def_50,type,
    'S58': $tType ).

tff(type_def_51,type,
    'S48': $tType ).

tff(type_def_52,type,
    'S36': $tType ).

tff(type_def_53,type,
    'S7': $tType ).

tff(type_def_54,type,
    'S34': $tType ).

tff(type_def_55,type,
    'S17': $tType ).

tff(type_def_56,type,
    'S18': $tType ).

tff(type_def_57,type,
    'S15': $tType ).

tff(type_def_58,type,
    'S26': $tType ).

tff(type_def_59,type,
    'S27': $tType ).

tff(type_def_60,type,
    'S29': $tType ).

tff(type_def_61,type,
    'S57': $tType ).

tff(type_def_62,type,
    'S11': $tType ).

tff(type_def_63,type,
    'S21': $tType ).

tff(type_def_64,type,
    'S44': $tType ).

tff(func_def_0,type,
    f90: ( 'S41' * 'S4' ) > 'S40' ).

tff(func_def_1,type,
    f4: 'S3' ).

tff(func_def_2,type,
    f70: ( 'S30' * 'S2' ) > 'S28' ).

tff(func_def_3,type,
    f92: ( 'S42' * $real ) > 'S31' ).

tff(func_def_4,type,
    f87: ( 'S39' * 'S2' ) > 'S12' ).

tff(func_def_5,type,
    f67: ( 'S27' * 'S28' ) > 'S4' ).

tff(func_def_6,type,
    f36: 'S12' ).

tff(func_def_7,type,
    f80: ( 'S36' * $real ) > 'S12' ).

tff(func_def_8,type,
    f18: 'S3' ).

tff(func_def_9,type,
    f129: 'S55' ).

tff(func_def_10,type,
    f132: 'S4' ).

tff(func_def_11,type,
    f20: 'S3' ).

tff(func_def_12,type,
    f141: 'S60' ).

tff(func_def_13,type,
    f95: ( 'S44' * $int ) > 'S37' ).

tff(func_def_14,type,
    f64: ( 'S25' * 'S2' ) > 'S3' ).

tff(func_def_15,type,
    f133: 'S10' ).

tff(func_def_16,type,
    f140: ( 'S60' * 'S9' ) > 'S59' ).

tff(func_def_17,type,
    f89: ( 'S40' * 'S4' ) > 'S25' ).

tff(func_def_18,type,
    f15: 'S2' ).

tff(func_def_19,type,
    f127: ( 'S54' * 'S2' ) > 'S46' ).

tff(func_def_20,type,
    f51: 'S6' ).

tff(func_def_21,type,
    f56: 'S22' ).

tff(func_def_22,type,
    f55: 'S6' ).

tff(func_def_23,type,
    f47: 'S12' ).

tff(func_def_24,type,
    f42: 'S17' ).

tff(func_def_25,type,
    f24: ( 'S11' * $real ) > 'S10' ).

tff(func_def_26,type,
    f35: 'S17' ).

tff(func_def_27,type,
    f23: 'S10' ).

tff(func_def_28,type,
    f10: 'S3' ).

tff(func_def_29,type,
    f71: 'S2' > 'S30' ).

tff(func_def_30,type,
    f76: ( 'S34' * 'S10' ) > 'S33' ).

tff(func_def_31,type,
    f79: 'S35' ).

tff(func_def_32,type,
    f111: 'S43' ).

tff(func_def_33,type,
    f108: 'S20' ).

tff(func_def_34,type,
    f146: 'S4' ).

tff(func_def_35,type,
    f124: ( 'S52' * 'S2' ) > 'S11' ).

tff(func_def_36,type,
    f83: 'S32' ).

tff(func_def_37,type,
    f130: 'S47' ).

tff(func_def_38,type,
    f118: 'S43' ).

tff(func_def_39,type,
    f22: ( 'S10' * 'S2' ) > $real ).

tff(func_def_40,type,
    f121: ( 'S50' * 'S2' ) > 'S7' ).

tff(func_def_41,type,
    f101: 'S47' ).

tff(func_def_42,type,
    f138: 'S58' ).

tff(func_def_43,type,
    f31: ( 'S15' * $int ) > $int ).

tff(func_def_44,type,
    f30: 'S14' ).

tff(func_def_45,type,
    f144: ( 'S2' * 'S28' ) > 'S1' ).

tff(func_def_46,type,
    f32: ( 'S16' * $int ) > 'S15' ).

tff(func_def_47,type,
    f120: 'S45' ).

tff(func_def_48,type,
    f60: ( 'S24' * 'S10' ) > 'S11' ).

tff(func_def_49,type,
    f102: 'S41' ).

tff(func_def_50,type,
    f113: 'S41' ).

tff(func_def_51,type,
    f29: ( 'S14' * $real ) > 'S13' ).

tff(func_def_52,type,
    f119: 'S49' ).

tff(func_def_53,type,
    f145: 'S2' ).

tff(func_def_54,type,
    f37: ( 'S18' * 'S9' ) > 'S9' ).

tff(func_def_55,type,
    f21: 'S3' ).

tff(func_def_56,type,
    f6: ( 'S6' * 'S4' ) > 'S5' ).

tff(func_def_57,type,
    f33: 'S16' ).

tff(func_def_58,type,
    f99: 'S46' ).

tff(func_def_59,type,
    f13: ( 'S9' * 'S2' ) > $int ).

tff(func_def_60,type,
    f143: 'S56' ).

tff(func_def_61,type,
    f128: ( 'S55' * $int ) > 'S54' ).

tff(func_def_62,type,
    f26: ( 'S12' * 'S10' ) > 'S10' ).

tff(func_def_63,type,
    f28: ( 'S13' * $real ) > $real ).

tff(func_def_64,type,
    f125: ( 'S53' * $real ) > 'S52' ).

tff(func_def_65,type,
    f88: 'S39' ).

tff(func_def_66,type,
    f91: 'S41' ).

tff(func_def_67,type,
    f62: 'S23' ).

tff(func_def_68,type,
    f94: 'S43' ).

tff(func_def_69,type,
    f69: 'S29' ).

tff(func_def_70,type,
    f19: 'S3' ).

tff(func_def_71,type,
    f100: ( 'S47' * 'S2' ) > 'S26' ).

tff(func_def_72,type,
    f86: 'S38' ).

tff(func_def_73,type,
    f54: 'S21' ).

tff(func_def_74,type,
    f3: ( 'S3' * 'S2' ) > 'S4' ).

tff(func_def_75,type,
    f14: 'S9' ).

tff(func_def_76,type,
    f53: 'S22' ).

tff(func_def_77,type,
    f41: 'S18' ).

tff(func_def_78,type,
    f96: ( 'S45' * $int ) > 'S44' ).

tff(func_def_79,type,
    f59: 'S6' ).

tff(func_def_80,type,
    f1: 'S1' ).

tff(func_def_81,type,
    f57: ( 'S23' * 'S3' ) > 'S7' ).

tff(func_def_82,type,
    f40: 'S12' ).

tff(func_def_83,type,
    f66: 'S26' ).

tff(func_def_84,type,
    f112: 'S45' ).

tff(func_def_85,type,
    f27: 'S12' ).

tff(func_def_86,type,
    f25: 'S11' ).

tff(func_def_87,type,
    f122: ( 'S51' * 'S4' ) > 'S50' ).

tff(func_def_88,type,
    f8: ( 'S7' * 'S4' ) > 'S3' ).

tff(func_def_89,type,
    f84: ( 'S37' * 'S2' ) > 'S9' ).

tff(func_def_90,type,
    f114: 'S43' ).

tff(func_def_91,type,
    f63: 'S24' ).

tff(func_def_92,type,
    f38: 'S18' ).

tff(func_def_93,type,
    f142: 'S15' ).

tff(func_def_94,type,
    f12: 'S8' ).

tff(func_def_95,type,
    f11: ( 'S8' * $int ) > 'S2' ).

tff(func_def_96,type,
    f137: ( 'S58' * 'S19' ) > 'S57' ).

tff(func_def_97,type,
    f110: 'S41' ).

tff(func_def_98,type,
    f103: 'S43' ).

tff(func_def_99,type,
    f73: ( 'S32' * 'S10' ) > 'S31' ).

tff(func_def_100,type,
    f106: 'S49' ).

tff(func_def_101,type,
    f117: 'S41' ).

tff(func_def_102,type,
    f61: 'S24' ).

tff(func_def_103,type,
    f7: 'S6' ).

tff(func_def_104,type,
    f52: ( 'S22' * 'S10' ) > 'S12' ).

tff(func_def_105,type,
    f2: 'S1' ).

tff(func_def_106,type,
    f109: 'S45' ).

tff(func_def_107,type,
    f5: ( 'S5' * 'S4' ) > 'S4' ).

tff(func_def_108,type,
    f136: ( 'S57' * 'S28' ) > 'S2' ).

tff(func_def_109,type,
    f97: 'S45' ).

tff(func_def_110,type,
    f43: 'S12' ).

tff(func_def_111,type,
    f44: ( 'S19' * 'S2' ) > 'S2' ).

tff(func_def_112,type,
    f115: 'S49' ).

tff(func_def_113,type,
    f139: ( 'S59' * 'S28' ) > $int ).

tff(func_def_114,type,
    f107: 'S20' ).

tff(func_def_115,type,
    f82: 'S26' ).

tff(func_def_116,type,
    f131: 'S3' ).

tff(func_def_117,type,
    f116: 'S45' ).

tff(func_def_118,type,
    f126: 'S53' ).

tff(func_def_119,type,
    f81: 'S36' ).

tff(func_def_120,type,
    f74: 'S32' ).

tff(func_def_121,type,
    f105: ( 'S49' * 'S2' ) > 'S48' ).

tff(func_def_122,type,
    f45: ( 'S20' * 'S2' ) > 'S19' ).

tff(func_def_123,type,
    f39: 'S17' ).

tff(func_def_124,type,
    f93: ( 'S43' * $real ) > 'S42' ).

tff(func_def_125,type,
    f85: ( 'S38' * 'S9' ) > 'S37' ).

tff(func_def_126,type,
    f68: ( 'S29' * 'S3' ) > 'S27' ).

tff(func_def_127,type,
    f123: 'S51' ).

tff(func_def_128,type,
    f9: 'S7' ).

tff(func_def_129,type,
    f77: 'S34' ).

tff(func_def_130,type,
    f17: 'S3' ).

tff(func_def_131,type,
    f50: 'S21' ).

tff(func_def_132,type,
    f78: ( 'S35' * 'S4' ) > 'S17' ).

tff(func_def_133,type,
    f16: 'S2' ).

tff(func_def_134,type,
    f34: ( 'S17' * 'S3' ) > 'S3' ).

tff(func_def_135,type,
    f134: ( 'S56' * 'S2' ) > 'S17' ).

tff(func_def_136,type,
    f75: ( 'S33' * 'S28' ) > $real ).

tff(func_def_137,type,
    f98: ( 'S46' * $int ) > 'S9' ).

tff(func_def_138,type,
    f46: 'S20' ).

tff(func_def_139,type,
    f135: 'S56' ).

tff(func_def_140,type,
    f49: ( 'S21' * 'S3' ) > 'S17' ).

tff(func_def_141,type,
    f65: ( 'S26' * 'S3' ) > 'S25' ).

tff(func_def_142,type,
    f58: 'S23' ).

tff(func_def_143,type,
    f104: ( 'S48' * 'S2' ) > 'S20' ).

tff(func_def_144,type,
    f48: 'S13' ).

tff(func_def_145,type,
    f72: ( 'S31' * 'S2' ) > 'S10' ).

tff(func_def_163,type,
    sK3: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_164,type,
    sK4: $real ).

tff(func_def_165,type,
    sK5: ( 'S2' * $real ) > 'S10' ).

tff(func_def_166,type,
    sK6: ( 'S2' * $real ) > $real ).

tff(func_def_167,type,
    sK7: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_168,type,
    sK8: ( 'S9' * 'S2' * 'S2' ) > 'S59' ).

tff(func_def_169,type,
    sK9: ( 'S9' * 'S2' * 'S2' ) > $int ).

tff(func_def_170,type,
    sK10: ( 'S2' * 'S9' ) > 'S59' ).

tff(func_def_171,type,
    sK11: ( 'S2' * 'S9' ) > 'S2' ).

tff(func_def_172,type,
    sK12: 'S3' > 'S2' ).

tff(func_def_173,type,
    sK13: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_174,type,
    sK14: ( 'S4' * 'S2' ) > 'S4' ).

tff(func_def_175,type,
    sK15: ( 'S2' * $real ) > $real ).

tff(func_def_176,type,
    sK16: ( 'S2' * 'S2' * $int ) > 'S9' ).

tff(func_def_177,type,
    sK17: ( 'S10' * 'S2' * 'S2' ) > $int ).

tff(func_def_178,type,
    sK18: ( 'S10' * 'S2' * 'S2' ) > $int ).

tff(func_def_179,type,
    sK19: 'S2' > $real ).

tff(func_def_180,type,
    sK20: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_181,type,
    sK21: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_182,type,
    sK22: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_183,type,
    sK23: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_184,type,
    sK24: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_185,type,
    sK25: ( 'S9' * 'S9' * $int * 'S2' ) > 'S2' ).

tff(func_def_186,type,
    sK26: ( 'S9' * 'S9' * 'S2' * 'S9' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_187,type,
    sK27: ( 'S9' * 'S9' * 'S2' * 'S9' * 'S2' * 'S2' ) > $int ).

tff(func_def_188,type,
    sK28: ( 'S9' * 'S9' * 'S2' * 'S9' * 'S2' * 'S2' ) > 'S2' ).

tff(func_def_189,type,
    sK29: ( $int * 'S2' * $int ) > 'S28' ).

tff(func_def_190,type,
    sK30: ( 'S4' * 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_191,type,
    sK31: ( 'S10' * 'S10' * 'S28' ) > 'S2' ).

tff(func_def_192,type,
    sK32: ( 'S10' * 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_193,type,
    sK33: ( 'S10' * 'S2' * 'S2' * 'S2' ) > 'S33' ).

tff(func_def_194,type,
    sK34: ( 'S10' * 'S2' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_195,type,
    sK35: ( 'S10' * 'S10' * 'S28' ) > 'S2' ).

tff(func_def_196,type,
    sK36: ( 'S2' * $int ) > $int ).

tff(func_def_197,type,
    sK37: ( 'S2' * $int ) > 'S9' ).

tff(func_def_198,type,
    sK38: ( 'S4' * 'S2' * 'S4' * 'S2' ) > 'S2' ).

tff(func_def_199,type,
    sK39: ( 'S4' * 'S2' * 'S4' * 'S2' ) > 'S3' ).

tff(func_def_200,type,
    sK40: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_201,type,
    sK41: ( 'S2' * 'S2' * $int ) > $int ).

tff(func_def_202,type,
    sK42: ( 'S2' * 'S2' * $int ) > 'S9' ).

tff(func_def_203,type,
    sK43: ( 'S2' * 'S2' * $int ) > $int ).

tff(func_def_204,type,
    sK44: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_205,type,
    sK45: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_206,type,
    sK46: $real > $real ).

tff(func_def_207,type,
    sK47: ( 'S2' * 'S2' * 'S2' ) > 'S28' ).

tff(func_def_208,type,
    sK48: ( 'S4' * 'S2' * 'S2' ) > 'S3' ).

tff(func_def_209,type,
    sK49: $real > $real ).

tff(func_def_210,type,
    sK50: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_211,type,
    sK51: ( 'S3' * 'S28' * 'S3' ) > 'S2' ).

tff(func_def_212,type,
    sK52: ( 'S2' * 'S10' ) > 'S33' ).

tff(func_def_213,type,
    sK53: ( 'S2' * 'S10' ) > 'S2' ).

tff(func_def_214,type,
    sK54: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_215,type,
    sK55: 'S2' > $int ).

tff(func_def_216,type,
    sK56: ( 'S2' * 'S2' * 'S9' ) > 'S59' ).

tff(func_def_217,type,
    sK57: ( 'S2' * 'S2' * 'S9' ) > 'S30' ).

tff(func_def_218,type,
    sK58: 'S2' > $int ).

tff(func_def_219,type,
    sK59: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_220,type,
    sK60: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_221,type,
    sK61: ( 'S2' * 'S2' * $real ) > 'S10' ).

tff(func_def_222,type,
    sK62: ( 'S2' * $real ) > 'S10' ).

tff(func_def_223,type,
    sK63: ( $real * $real * $real ) > $real ).

tff(func_def_224,type,
    sK64: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_225,type,
    sK65: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_226,type,
    sK66: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_227,type,
    sK67: ( $real * $real * $real * $real ) > $real ).

tff(func_def_228,type,
    sK68: $real > $real ).

tff(func_def_229,type,
    sK69: 'S2' > $int ).

tff(func_def_230,type,
    sK70: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_231,type,
    sK71: ( 'S4' * 'S4' ) > 'S2' ).

tff(func_def_232,type,
    sK72: ( 'S2' * $int ) > 'S9' ).

tff(func_def_233,type,
    sK73: ( 'S2' * 'S2' ) > $int ).

tff(func_def_234,type,
    sK74: ( 'S2' * 'S2' * 'S2' ) > 'S19' ).

tff(func_def_235,type,
    sK75: $real > $real ).

tff(func_def_236,type,
    sK76: ( 'S2' * $int * $int * 'S2' ) > 'S9' ).

tff(func_def_237,type,
    sK77: ( 'S2' * $int * $int * 'S2' ) > 'S2' ).

tff(func_def_238,type,
    sK78: ( $int * 'S2' ) > 'S9' ).

tff(func_def_239,type,
    sK79: ( 'S2' * 'S2' * 'S4' ) > $int ).

tff(func_def_240,type,
    sK80: ( 'S2' * 'S2' * 'S4' ) > 'S3' ).

tff(func_def_241,type,
    sK81: ( 'S2' * 'S2' * 'S4' ) > $int ).

tff(func_def_242,type,
    sK82: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_243,type,
    sK83: ( $real * $real ) > $real ).

tff(func_def_244,type,
    sK84: ( 'S2' * $real * 'S2' ) > $int ).

tff(func_def_245,type,
    sK85: ( 'S2' * $real * 'S2' ) > $int ).

tff(func_def_246,type,
    sK86: ( 'S2' * $real * 'S2' ) > 'S10' ).

tff(func_def_247,type,
    sK87: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_248,type,
    sK88: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_249,type,
    sK89: ( $int * $int ) > 'S2' ).

tff(func_def_250,type,
    sK90: ( 'S10' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_251,type,
    sK91: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_252,type,
    sK92: ( 'S2' * 'S2' * $real * $real ) > 'S2' ).

tff(func_def_253,type,
    sK93: ( 'S2' * 'S2' * $real * $real ) > 'S10' ).

tff(func_def_254,type,
    sK94: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_255,type,
    sK95: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_256,type,
    sK96: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_257,type,
    sK97: ( 'S2' * $int ) > 'S9' ).

tff(func_def_258,type,
    sK98: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_259,type,
    sK99: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_260,type,
    sK100: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_261,type,
    sK101: ( 'S2' * $int ) > 'S9' ).

tff(func_def_262,type,
    sK102: ( 'S2' * $int ) > $int ).

tff(func_def_263,type,
    sK103: 'S2' > $int ).

tff(func_def_264,type,
    sK104: ( 'S2' * $real ) > 'S10' ).

tff(func_def_265,type,
    sK105: ( 'S2' * $real ) > $real ).

tff(func_def_266,type,
    sK106: ( 'S2' * 'S3' * 'S2' * 'S2' ) > 'S27' ).

tff(func_def_267,type,
    sK107: ( 'S2' * 'S3' * 'S2' * 'S2' ) > $int ).

tff(func_def_268,type,
    sK108: ( 'S2' * 'S3' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_269,type,
    sK109: ( 'S2' * 'S2' * 'S2' ) > 'S19' ).

tff(func_def_270,type,
    sK110: ( 'S2' * 'S2' * 'S2' * 'S10' ) > 'S33' ).

tff(func_def_271,type,
    sK111: ( 'S2' * 'S2' * 'S2' * 'S10' ) > 'S30' ).

tff(func_def_272,type,
    sK112: ( 'S2' * 'S2' * 'S2' * 'S10' ) > $int ).

tff(func_def_273,type,
    sK113: ( 'S2' * 'S3' ) > 'S2' ).

tff(func_def_274,type,
    sK114: ( 'S2' * 'S3' ) > 'S27' ).

tff(func_def_275,type,
    sK115: $real > $real ).

tff(func_def_276,type,
    sK116: 'S2' > $int ).

tff(func_def_277,type,
    sK117: ( 'S2' * 'S2' ) > $int ).

tff(func_def_278,type,
    sK118: ( $real * $real ) > $real ).

tff(func_def_279,type,
    sK119: ( $real * $real ) > 'S2' ).

tff(func_def_280,type,
    sK120: ( $int * $int * 'S2' ) > 'S2' ).

tff(func_def_281,type,
    sK121: ( $int * 'S3' * 'S3' * 'S2' ) > 'S2' ).

tff(func_def_282,type,
    sK122: ( 'S3' * 'S3' * 'S2' * 'S3' * 'S2' * 'S2' ) > $int ).

tff(func_def_283,type,
    sK123: ( 'S3' * 'S3' * 'S2' * 'S3' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_284,type,
    sK124: ( 'S3' * 'S3' * 'S2' * 'S3' * 'S2' * 'S2' ) > 'S2' ).

tff(func_def_285,type,
    sK125: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_286,type,
    sK126: ( $real * 'S2' ) > $real ).

tff(func_def_287,type,
    sK127: ( 'S2' * $int * 'S2' ) > 'S9' ).

tff(func_def_288,type,
    sK128: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_289,type,
    sK129: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_290,type,
    sK130: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_291,type,
    sK131: ( $real * $real * 'S2' ) > 'S28' ).

tff(func_def_292,type,
    sK132: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_293,type,
    sK133: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_294,type,
    sK134: ( 'S2' * 'S2' ) > $int ).

tff(func_def_295,type,
    sK135: ( 'S2' * $real ) > 'S10' ).

tff(func_def_296,type,
    sK136: ( $real * 'S2' * $real ) > 'S2' ).

tff(func_def_297,type,
    sK137: ( $real * 'S2' ) > 'S10' ).

tff(func_def_298,type,
    sK138: ( $real * 'S2' ) > $int ).

tff(func_def_299,type,
    sK139: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_300,type,
    sK140: ( 'S2' * 'S3' ) > 'S30' ).

tff(func_def_301,type,
    sK141: ( 'S2' * 'S3' ) > 'S28' ).

tff(func_def_302,type,
    sK142: $real > $real ).

tff(func_def_303,type,
    sK143: $real > $real ).

tff(func_def_304,type,
    sK144: ( 'S2' * 'S2' * 'S2' ) > 'S19' ).

tff(func_def_305,type,
    sK145: ( 'S9' * 'S2' ) > 'S30' ).

tff(func_def_306,type,
    sK146: ( 'S9' * 'S2' ) > 'S28' ).

tff(func_def_307,type,
    sK147: ( 'S2' * $real ) > 'S10' ).

tff(func_def_308,type,
    sK148: ( 'S2' * $real * 'S2' ) > 'S10' ).

tff(func_def_309,type,
    sK149: ( $real * 'S2' * 'S2' ) > 'S10' ).

tff(func_def_310,type,
    sK150: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_311,type,
    sK151: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_312,type,
    sK152: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_313,type,
    sK153: ( 'S4' * 'S2' * 'S4' ) > 'S2' ).

tff(func_def_314,type,
    sK154: 'S2' > 'S2' ).

tff(func_def_315,type,
    sK155: ( 'S28' * 'S3' * 'S3' ) > 'S2' ).

tff(func_def_316,type,
    sK156: ( 'S2' * 'S2' ) > $int ).

tff(func_def_317,type,
    sK157: ( 'S2' * 'S2' ) > $int ).

tff(func_def_318,type,
    sK158: ( 'S2' * 'S2' * 'S2' * 'S10' ) > $int ).

tff(func_def_319,type,
    sK159: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_320,type,
    sK160: ( 'S2' * 'S2' * 'S3' * 'S2' ) > $int ).

tff(func_def_321,type,
    sK161: ( $real * 'S2' * 'S2' ) > $int ).

tff(func_def_322,type,
    sK162: ( $real * 'S2' * 'S2' ) > 'S10' ).

tff(func_def_323,type,
    sK163: ( $real * 'S2' * 'S2' ) > $int ).

tff(func_def_324,type,
    sK164: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_325,type,
    sK165: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_326,type,
    sK166: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_327,type,
    sK167: ( $int * 'S10' * 'S10' * 'S2' ) > 'S2' ).

tff(func_def_328,type,
    sK168: ( 'S2' * 'S10' * 'S10' * 'S2' * 'S10' * 'S2' ) > 'S30' ).

tff(func_def_329,type,
    sK169: ( 'S2' * 'S10' * 'S10' * 'S2' * 'S10' * 'S2' ) > $int ).

tff(func_def_330,type,
    sK170: ( 'S2' * 'S10' * 'S10' * 'S2' * 'S10' * 'S2' ) > 'S2' ).

tff(func_def_331,type,
    sK171: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_332,type,
    sK172: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_333,type,
    sK173: 'S2' > $int ).

tff(func_def_334,type,
    sK174: ( 'S2' * 'S2' ) > $int ).

tff(func_def_335,type,
    sK175: ( 'S2' * 'S2' ) > $int ).

tff(func_def_336,type,
    sK176: ( 'S2' * 'S2' ) > $int ).

tff(func_def_337,type,
    sK177: ( 'S2' * 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_338,type,
    sK178: ( 'S2' * 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_339,type,
    sK179: ( 'S2' * 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_340,type,
    sK180: ( 'S2' * 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_341,type,
    sK181: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_342,type,
    sK182: ( 'S2' * 'S2' ) > $int ).

tff(func_def_343,type,
    sK183: ( 'S2' * 'S2' ) > $int ).

tff(func_def_344,type,
    sK184: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_345,type,
    sK185: ( 'S2' * 'S4' ) > 'S4' ).

tff(func_def_346,type,
    sK186: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_347,type,
    sK187: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_348,type,
    sK188: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_349,type,
    sK189: $real > $real ).

tff(func_def_350,type,
    sK190: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_351,type,
    sK191: ( $int * $int ) > 'S2' ).

tff(func_def_352,type,
    sK192: $real > $real ).

tff(func_def_353,type,
    sK193: ( 'S2' * 'S2' * 'S3' * 'S2' ) > 'S30' ).

tff(func_def_354,type,
    sK194: ( 'S2' * 'S2' * 'S3' * 'S2' ) > 'S27' ).

tff(func_def_355,type,
    sK195: ( 'S2' * 'S2' * 'S3' * 'S2' ) > $int ).

tff(func_def_356,type,
    sK196: ( 'S2' * 'S9' * 'S2' ) > 'S59' ).

tff(func_def_357,type,
    sK197: ( 'S2' * 'S9' * 'S2' ) > 'S30' ).

tff(func_def_358,type,
    sK198: ( 'S2' * 'S2' ) > $int ).

tff(func_def_359,type,
    sK199: ( 'S2' * 'S2' ) > $int ).

tff(func_def_360,type,
    sK200: ( 'S2' * 'S2' * 'S9' * 'S2' ) > 'S59' ).

tff(func_def_361,type,
    sK201: ( 'S2' * 'S2' * 'S9' * 'S2' ) > 'S30' ).

tff(func_def_362,type,
    sK202: ( 'S2' * 'S2' * 'S9' * 'S2' ) > $int ).

tff(func_def_363,type,
    sK203: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_364,type,
    sK204: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_365,type,
    sK205: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_366,type,
    sK206: $real > $real ).

tff(func_def_367,type,
    sK207: $int > $int ).

tff(func_def_368,type,
    sK208: ( 'S2' * 'S3' * 'S2' ) > 'S27' ).

tff(func_def_369,type,
    sK209: ( 'S2' * 'S3' * 'S2' ) > 'S30' ).

tff(func_def_370,type,
    sK210: ( 'S28' * 'S10' * 'S10' ) > 'S2' ).

tff(func_def_371,type,
    sK211: ( 'S2' * 'S4' ) > $int ).

tff(func_def_372,type,
    sK212: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_373,type,
    sK213: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_374,type,
    sK214: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_375,type,
    sK215: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_376,type,
    sK216: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_377,type,
    sK217: ( 'S2' * 'S3' * 'S2' ) > $int ).

tff(func_def_378,type,
    sK218: ( 'S2' * 'S3' * 'S2' ) > $int ).

tff(func_def_379,type,
    sK219: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_380,type,
    sK220: ( 'S2' * 'S2' ) > $int ).

tff(func_def_381,type,
    sK221: ( 'S2' * 'S2' ) > $int ).

tff(func_def_382,type,
    sK222: ( 'S2' * 'S2' ) > $int ).

tff(func_def_383,type,
    sK223: ( 'S4' * 'S2' * 'S4' ) > 'S28' ).

tff(func_def_384,type,
    sK224: ( $real * $real ) > $real ).

tff(func_def_385,type,
    sK225: ( 'S2' * $real * 'S2' ) > 'S10' ).

tff(func_def_386,type,
    sK226: ( 'S2' * 'S10' * 'S2' ) > $int ).

tff(func_def_387,type,
    sK227: ( 'S2' * 'S10' * 'S2' ) > 'S30' ).

tff(func_def_388,type,
    sK228: ( 'S2' * 'S10' * 'S2' ) > 'S33' ).

tff(func_def_389,type,
    sK229: $real > $real ).

tff(func_def_390,type,
    sK230: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_391,type,
    sK231: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S4' ).

tff(func_def_392,type,
    sK232: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_393,type,
    sK233: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_394,type,
    sK234: ( 'S4' * 'S2' * 'S2' ) > 'S3' ).

tff(func_def_395,type,
    sK235: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_396,type,
    sK236: ( $int * $int * 'S2' ) > 'S28' ).

tff(func_def_397,type,
    sK237: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_398,type,
    sK238: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_399,type,
    sK239: ( $real * 'S2' ) > $real ).

tff(func_def_400,type,
    sK240: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_401,type,
    sK241: ( 'S3' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_402,type,
    sK242: ( $real * $real ) > 'S2' ).

tff(func_def_403,type,
    sK243: ( $real * $real ) > $real ).

tff(func_def_404,type,
    sK244: ( $int * 'S2' ) > 'S9' ).

tff(func_def_405,type,
    sK245: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_406,type,
    sK246: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_407,type,
    sK247: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_408,type,
    sK248: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_409,type,
    sK249: ( $real * $real * $real * $real ) > $real ).

tff(func_def_410,type,
    sK250: ( 'S2' * $int ) > 'S9' ).

tff(func_def_411,type,
    sK251: ( $real * $real * $real * $real ) > $real ).

tff(func_def_412,type,
    sK252: ( 'S2' * 'S2' ) > $int ).

tff(func_def_413,type,
    sK253: ( 'S2' * 'S2' ) > $int ).

tff(func_def_414,type,
    sK254: ( 'S2' * 'S2' ) > $int ).

tff(func_def_415,type,
    sK255: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_416,type,
    sK256: ( 'S2' * 'S2' * 'S2' ) > 'S28' ).

tff(func_def_417,type,
    sK257: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_418,type,
    sK258: ( 'S4' * 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_419,type,
    sK259: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_420,type,
    sK260: ( $real * 'S2' ) > 'S10' ).

tff(func_def_421,type,
    sK261: ( 'S2' * 'S2' ) > $int ).

tff(func_def_422,type,
    sK262: ( 'S2' * 'S2' ) > $int ).

tff(func_def_423,type,
    sK263: ( 'S2' * 'S2' ) > $int ).

tff(func_def_424,type,
    sK264: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_425,type,
    sK265: ( $real * $real ) > $real ).

tff(func_def_426,type,
    sK266: ( 'S2' * 'S4' * 'S2' ) > 'S3' ).

tff(func_def_427,type,
    sK267: ( 'S2' * 'S2' * 'S9' ) > 'S59' ).

tff(func_def_428,type,
    sK268: ( 'S2' * 'S2' * 'S9' ) > 'S30' ).

tff(func_def_429,type,
    sK269: ( 'S2' * 'S2' * 'S9' ) > $int ).

tff(func_def_430,type,
    sK270: ( 'S4' * 'S2' * 'S2' ) > $int ).

tff(func_def_431,type,
    sK271: ( 'S4' * 'S2' * 'S2' ) > 'S3' ).

tff(func_def_432,type,
    sK272: ( 'S4' * 'S2' * 'S2' ) > $int ).

tff(func_def_433,type,
    sK273: ( $int * $int * $int * $int ) > $int ).

tff(func_def_434,type,
    sK274: ( 'S2' * 'S9' * 'S2' * 'S2' ) > $int ).

tff(func_def_435,type,
    sK275: ( 'S2' * 'S9' * 'S2' * 'S2' ) > 'S59' ).

tff(func_def_436,type,
    sK276: ( 'S2' * 'S9' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_437,type,
    sK277: ( $real * $real ) > 'S2' ).

tff(func_def_438,type,
    sK278: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_439,type,
    sK279: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_440,type,
    sK280: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_441,type,
    sK281: 'S30' ).

tff(func_def_442,type,
    sK282: 'S28' ).

tff(func_def_443,type,
    sK283: ( 'S2' * 'S10' * 'S2' ) > 'S33' ).

tff(func_def_444,type,
    sK284: ( 'S2' * 'S10' * 'S2' ) > 'S30' ).

tff(func_def_445,type,
    sK285: ( 'S2' * $real * $real ) > 'S28' ).

tff(func_def_446,type,
    sK286: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_447,type,
    sK287: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_448,type,
    sK288: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_449,type,
    sK289: ( 'S4' * 'S2' * 'S4' ) > 'S28' ).

tff(func_def_450,type,
    sK290: ( $int * 'S2' ) > 'S9' ).

tff(func_def_451,type,
    sK291: $real > $real ).

tff(func_def_452,type,
    sK292: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_453,type,
    sK293: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_454,type,
    sK294: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_455,type,
    sK295: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_456,type,
    sK296: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_457,type,
    sK297: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_458,type,
    sK298: ( 'S2' * $int ) > 'S9' ).

tff(func_def_459,type,
    sK299: ( 'S2' * $int ) > $int ).

tff(func_def_460,type,
    sK300: ( 'S2' * 'S10' * 'S2' ) > 'S30' ).

tff(func_def_461,type,
    sK301: ( 'S2' * 'S10' * 'S2' ) > 'S33' ).

tff(func_def_462,type,
    sK302: ( $real * $real * $real * $real ) > $real ).

tff(func_def_463,type,
    sK303: ( $real * $real * $real * $real ) > $real ).

tff(func_def_464,type,
    sK304: ( $real * 'S2' * $real ) > 'S28' ).

tff(func_def_465,type,
    sK305: 'S9' > 'S2' ).

tff(func_def_466,type,
    sK306: ( 'S2' * $real ) > 'S10' ).

tff(func_def_467,type,
    sK307: ( 'S2' * 'S2' ) > $int ).

tff(func_def_468,type,
    sK308: ( 'S2' * 'S2' ) > $int ).

tff(func_def_469,type,
    sK309: ( 'S2' * 'S2' ) > $int ).

tff(func_def_470,type,
    sK310: ( 'S2' * 'S2' * 'S3' ) > $int ).

tff(func_def_471,type,
    sK311: ( 'S2' * 'S2' * 'S3' ) > 'S30' ).

tff(func_def_472,type,
    sK312: ( 'S2' * 'S2' * 'S3' ) > 'S27' ).

tff(func_def_473,type,
    sK313: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_474,type,
    sK314: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_475,type,
    sK315: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_476,type,
    sK316: ( $real * $real ) > 'S2' ).

tff(func_def_477,type,
    sK317: ( 'S2' * 'S2' ) > $int ).

tff(func_def_478,type,
    sK318: ( 'S2' * 'S2' ) > $int ).

tff(func_def_479,type,
    sK319: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_480,type,
    sK320: ( 'S2' * 'S2' * 'S2' ) > 'S19' ).

tff(func_def_481,type,
    sK321: 'S10' > 'S2' ).

tff(func_def_482,type,
    sK322: $real > $real ).

tff(func_def_483,type,
    sK323: 'S28' ).

tff(func_def_484,type,
    sK324: ( $int * $int * $int * $int ) > $int ).

tff(func_def_485,type,
    sK325: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_486,type,
    sK326: ( 'S28' * 'S10' ) > $real ).

tff(func_def_487,type,
    sK327: ( $real * $real * $real * $real ) > $real ).

tff(func_def_488,type,
    sK328: ( $real * 'S2' * $real * 'S2' ) > 'S10' ).

tff(func_def_489,type,
    sK329: ( 'S4' * 'S2' * 'S2' ) > 'S3' ).

tff(func_def_490,type,
    sK330: ( 'S3' * 'S2' * 'S2' ) > 'S17' ).

tff(func_def_491,type,
    sK331: ( 'S3' * 'S2' * 'S2' ) > 'S2' ).

tff(func_def_492,type,
    sK332: ( 'S2' * 'S2' * 'S2' ) > 'S19' ).

tff(func_def_493,type,
    sK333: ( 'S2' * 'S3' * 'S2' ) > 'S27' ).

tff(func_def_494,type,
    sK334: ( 'S2' * 'S3' * 'S2' ) > $int ).

tff(func_def_495,type,
    sK335: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_496,type,
    sK336: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S4' ).

tff(func_def_497,type,
    sK337: ( 'S10' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_498,type,
    sK338: ( 'S10' * 'S2' * 'S2' ) > 'S33' ).

tff(func_def_499,type,
    sK339: ( $int * 'S2' * $int * 'S2' ) > 'S9' ).

tff(func_def_500,type,
    sK340: ( 'S2' * $int * $int ) > 'S28' ).

tff(func_def_501,type,
    sK341: ( $int * 'S2' ) > $int ).

tff(func_def_502,type,
    sK342: $real > $real ).

tff(func_def_503,type,
    sK343: ( $real * 'S2' ) > 'S10' ).

tff(func_def_504,type,
    sK344: ( $real * $real ) > $real ).

tff(func_def_505,type,
    sK345: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_506,type,
    sK346: ( 'S3' * 'S28' * 'S3' ) > 'S2' ).

tff(func_def_507,type,
    sK347: ( 'S2' * $real ) > 'S10' ).

tff(func_def_508,type,
    sK348: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_509,type,
    sK349: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_510,type,
    sK350: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_511,type,
    sK351: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_512,type,
    sK352: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_513,type,
    sK353: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_514,type,
    sK354: ( 'S4' * 'S2' * 'S4' ) > 'S28' ).

tff(func_def_515,type,
    sK355: ( 'S2' * 'S4' * 'S4' * 'S2' ) > 'S3' ).

tff(func_def_516,type,
    sK356: ( 'S10' * 'S2' * 'S2' ) > 'S33' ).

tff(func_def_517,type,
    sK357: ( 'S10' * 'S2' * 'S2' ) > 'S30' ).

tff(func_def_518,type,
    sK358: ( 'S2' * $real ) > 'S10' ).

tff(func_def_519,type,
    sK359: ( 'S2' * $real ) > $real ).

tff(func_def_520,type,
    sK360: ( 'S2' * 'S4' ) > 'S4' ).

tff(func_def_521,type,
    sK361: $real > $real ).

tff(func_def_522,type,
    sK362: ( $real * $real * $real ) > $real ).

tff(func_def_523,type,
    sK363: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_524,type,
    sK364: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_525,type,
    sK365: ( 'S10' * 'S2' ) > 'S30' ).

tff(func_def_526,type,
    sK366: ( 'S10' * 'S2' ) > 'S28' ).

tff(func_def_527,type,
    sK367: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_528,type,
    sK368: ( 'S2' * 'S2' * 'S2' ) > 'S19' ).

tff(func_def_529,type,
    sK369: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_530,type,
    sK370: ( 'S2' * 'S2' ) > 'S19' ).

tff(func_def_531,type,
    sK371: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_532,type,
    sK372: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_533,type,
    sK373: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_534,type,
    sK374: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_535,type,
    sK375: ( 'S2' * 'S2' * 'S10' ) > $int ).

tff(func_def_536,type,
    sK376: ( 'S2' * 'S2' * 'S10' ) > 'S33' ).

tff(func_def_537,type,
    sK377: $real > 'S2' ).

tff(func_def_538,type,
    sK378: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_539,type,
    sK379: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_540,type,
    sK380: ( 'S2' * 'S3' * 'S2' ) > 'S27' ).

tff(func_def_541,type,
    sK381: ( 'S2' * 'S3' * 'S2' ) > 'S30' ).

tff(func_def_542,type,
    sK382: ( 'S2' * 'S2' ) > 'S2' ).

tff(pred_def_5,type,
    sP0: ( 'S9' * 'S9' * $int * 'S2' ) > $o ).

tff(pred_def_6,type,
    sP1: ( $int * 'S3' * 'S3' * 'S2' ) > $o ).

tff(pred_def_7,type,
    sP2: ( $int * 'S10' * 'S10' * 'S2' ) > $o ).

tff(f2,axiom,
    ! [X0: 'S2'] : ( f3(f4,X0) = f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X0))),f3(f17,f11(f12,$sum($product(2,f13(f14,X0)),1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).

tff(f6,axiom,
    ! [X0: 'S2'] : ( f3(f21,X0) = f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X0)),f3(f17,f11(f12,$sum($product(2,f13(f14,X0)),1))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).

tff(f62,negated_conjecture,
    ? [X0: 'S28'] :
      ( ( X0 = f70(f71(f11(f12,0)),f15) )
      & ( f67(f68(f69,f4),X0) != f67(f68(f69,f21),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_62) ).

tff(f177,axiom,
    ! [X2: 'S4',X0: 'S4',X1: 'S4'] :
    ? [X3: 'S5'] :
      ( ( f5(X3,f5(f6(f7,X1),X2)) = f5(f6(f7,f5(X3,X1)),X2) )
      & ( X3 = f6(f7,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_177) ).

tff(f304,axiom,
    ! [X3: 'S3',X1: 'S28',X0: 'S28',X2: 'S3'] :
      ( ( X0 = X1 )
     => ( ! [X4: 'S2'] :
            ( ( f144(X4,X1) = f1 )
           => ( f3(X2,X4) = f3(X3,X4) ) )
       => ( f67(f68(f69,X2),X0) = f67(f68(f69,X3),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_304) ).

tff(f743,plain,
    ! [X0: 'S4',X2: 'S4',X1: 'S4'] :
    ? [X3: 'S5'] :
      ( ( f5(f6(f7,f5(X3,X2)),X0) = f5(X3,f5(f6(f7,X2),X0)) )
      & ( f6(f7,X1) = X3 ) ),
    inference(rectify,[],[f177]) ).

tff(f963,plain,
    ! [X3: 'S3',X2: 'S28',X0: 'S3',X1: 'S28'] :
      ( ( X1 = X2 )
     => ( ! [X4: 'S2'] :
            ( ( f144(X4,X1) = f1 )
           => ( f3(X3,X4) = f3(X0,X4) ) )
       => ( f67(f68(f69,X0),X1) = f67(f68(f69,X3),X2) ) ) ),
    inference(rectify,[],[f304]) ).

tff(f1065,plain,
    ! [X3: 'S3',X2: 'S28',X0: 'S3',X1: 'S28'] :
      ( ( f67(f68(f69,X0),X1) = f67(f68(f69,X3),X2) )
      | ? [X4: 'S2'] :
          ( ( f3(X3,X4) != f3(X0,X4) )
          & ( f144(X4,X1) = f1 ) )
      | ( X1 != X2 ) ),
    inference(ennf_transformation,[],[f963]) ).

tff(f1066,plain,
    ! [X1: 'S28',X2: 'S28',X0: 'S3',X3: 'S3'] :
      ( ( X1 != X2 )
      | ? [X4: 'S2'] :
          ( ( f3(X3,X4) != f3(X0,X4) )
          & ( f144(X4,X1) = f1 ) )
      | ( f67(f68(f69,X0),X1) = f67(f68(f69,X3),X2) ) ),
    inference(flattening,[],[f1065]) ).

tff(f1243,plain,
    ! [X0: 'S4',X1: 'S4',X2: 'S4'] :
    ? [X3: 'S5'] :
      ( ( f5(f6(f7,f5(X3,X1)),X0) = f5(X3,f5(f6(f7,X1),X0)) )
      & ( f6(f7,X2) = X3 ) ),
    inference(rectify,[],[f743]) ).

tff(f1244,plain,
    ! [X0: 'S4',X1: 'S4',X2: 'S4'] :
      ( ( f5(sK64(X0,X1,X2),f5(f6(f7,X1),X0)) = f5(f6(f7,f5(sK64(X0,X1,X2),X1)),X0) )
      & ( f6(f7,X2) = sK64(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(X3,sK64(X0,X1,X2))],[f1243]) ).

tff(f1382,plain,
    ! [X0: 'S28',X1: 'S28',X2: 'S3',X3: 'S3'] :
      ( ( X0 != X1 )
      | ? [X4: 'S2'] :
          ( ( f3(X2,X4) != f3(X3,X4) )
          & ( f1 = f144(X4,X0) ) )
      | ( f67(f68(f69,X2),X0) = f67(f68(f69,X3),X1) ) ),
    inference(rectify,[],[f1066]) ).

tff(f1383,plain,
    ! [X0: 'S28',X1: 'S28',X2: 'S3',X3: 'S3'] :
      ( ( X0 != X1 )
      | ( ( f3(X2,sK155(X0,X2,X3)) != f3(X3,sK155(X0,X2,X3)) )
        & ( f1 = f144(sK155(X0,X2,X3),X0) ) )
      | ( f67(f68(f69,X2),X0) = f67(f68(f69,X3),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK155]),skolemize(X4,sK155(X0,X2,X3))],[f1382]) ).

tff(f1677,plain,
    ( ( f70(f71(f11(f12,0)),f15) = sK323 )
    & ( f67(f68(f69,f4),sK323) != f67(f68(f69,f21),sK323) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK323]),skolemize(X0,sK323)],[f62]) ).

tff(f1839,plain,
    ! [X0: 'S2'] : ( f3(f4,X0) = f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X0))),f3(f17,f11(f12,$sum($product(2,f13(f14,X0)),1)))) ),
    inference(cnf_transformation,[],[f2]) ).

tff(f1985,plain,
    ! [X2: 'S4',X0: 'S4',X1: 'S4'] : ( f6(f7,X2) = sK64(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1244]) ).

tff(f1986,plain,
    ! [X2: 'S4',X0: 'S4',X1: 'S4'] : ( f5(sK64(X0,X1,X2),f5(f6(f7,X1),X0)) = f5(f6(f7,f5(sK64(X0,X1,X2),X1)),X0) ),
    inference(cnf_transformation,[],[f1244]) ).

tff(f2203,plain,
    ! [X2: 'S3',X3: 'S3',X0: 'S28',X1: 'S28'] :
      ( ( X0 != X1 )
      | ( f3(X2,sK155(X0,X2,X3)) != f3(X3,sK155(X0,X2,X3)) )
      | ( f67(f68(f69,X2),X0) = f67(f68(f69,X3),X1) ) ),
    inference(cnf_transformation,[],[f1383]) ).

tff(f2263,plain,
    ! [X0: 'S2'] : ( f3(f21,X0) = f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X0)),f3(f17,f11(f12,$sum($product(2,f13(f14,X0)),1))))) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f2643,plain,
    f67(f68(f69,f4),sK323) != f67(f68(f69,f21),sK323),
    inference(cnf_transformation,[],[f1677]) ).

tff(f2874,plain,
    ! [X2: 'S4',X0: 'S4',X1: 'S4'] : ( f5(f6(f7,f5(f6(f7,X2),X1)),X0) = f5(f6(f7,X2),f5(f6(f7,X1),X0)) ),
    inference(definition_unfolding,[],[f1986,f1985,f1985]) ).

tff(f3196,plain,
    ! [X2: 'S3',X3: 'S3',X1: 'S28'] :
      ( ( f3(X2,sK155(X1,X2,X3)) != f3(X3,sK155(X1,X2,X3)) )
      | ( f67(f68(f69,X3),X1) = f67(f68(f69,X2),X1) ) ),
    inference(equality_resolution,[],[f2203]) ).

tff(f3308,plain,
    f3(f21,sK155(sK323,f21,f4)) != f3(f4,sK155(sK323,f21,f4)),
    inference(unit_resulting_resolution,[],[f3196,f2643]) ).

tff(f3396,plain,
    f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),sK155(sK323,f21,f4)))),f3(f17,f11(f12,$sum($product(2,f13(f14,sK155(sK323,f21,f4))),1)))) != f3(f21,sK155(sK323,f21,f4)),
    inference(forward_demodulation,[],[f3308,f1839]) ).

tff(f3460,plain,
    f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),sK155(sK323,f21,f4)))),f3(f17,f11(f12,$sum($product(2,f13(f14,sK155(sK323,f21,f4))),1)))) != f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),sK155(sK323,f21,f4))),f3(f17,f11(f12,$sum($product(2,f13(f14,sK155(sK323,f21,f4))),1))))),
    inference(forward_demodulation,[],[f3396,f2263]) ).

tff(f3514,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3460,f2874]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW842_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  % Computer : n014.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 14:32:23 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23  Running first-order theorem proving
% 0.10/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.60/1.57  % (1819807)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.60/1.57  % (1819857)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4394482:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.60/1.57  % (1819862)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=406645438:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.60/1.57  % (1819856)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1019032486:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.60/1.57  % (1819856)Instruction limit reached! 
% 4.60/1.57  % (1819856)------------------------------
% 4.60/1.57  % (1819856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.57  % (1819856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.57  % (1819856)CaDiCaL version: 2.1.3
% 4.60/1.57  % (1819856)Termination reason: Instruction limit
% 4.60/1.57  % (1819856)Termination phase: Property scanning
% 4.60/1.57  % (1819856)Time elapsed: 0.012 s
% 4.60/1.57  % (1819856)Peak memory usage: 85 MB
% 4.60/1.57  % (1819856)Instructions burned: 13 (million)
% 4.60/1.57  % (1819860)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2868785859:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.60/1.57  % (1819859)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2548813323:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.60/1.57  % (1819857)Instruction limit reached! 
% 4.60/1.57  % (1819857)------------------------------
% 4.60/1.57  % (1819857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.57  % (1819857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.57  % (1819857)CaDiCaL version: 2.1.3
% 4.60/1.57  % (1819857)Termination reason: Instruction limit
% 4.60/1.57  % (1819857)Termination phase: Saturation
% 4.60/1.57  % (1819857)Time elapsed: 0.117 s
% 4.60/1.57  % (1819857)Peak memory usage: 121 MB
% 4.60/1.57  % (1819857)Instructions burned: 317 (million)
% 4.60/1.57  % (1819860)Instruction limit reached! 
% 4.60/1.57  % (1819860)------------------------------
% 4.60/1.57  % (1819860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.57  % (1819860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.57  % (1819860)CaDiCaL version: 2.1.3
% 4.60/1.57  % (1819860)Termination reason: Instruction limit
% 4.60/1.57  % (1819860)Termination phase: Property scanning
% 4.60/1.57  % (1819860)Time elapsed: 0.006 s
% 4.60/1.57  % (1819860)Peak memory usage: 86 MB
% 4.60/1.57  % (1819860)Instructions burned: 7 (million)
% 4.60/1.57  % (1819859)Instruction limit reached! 
% 4.60/1.57  % (1819859)------------------------------
% 4.60/1.57  % (1819859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.57  % (1819859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.57  % (1819859)CaDiCaL version: 2.1.3
% 4.60/1.57  % (1819859)Termination reason: Instruction limit
% 4.60/1.57  % (1819859)Termination phase: Property scanning
% 4.60/1.57  % (1819859)Time elapsed: 0.008 s
% 4.60/1.57  % (1819859)Peak memory usage: 86 MB
% 4.60/1.57  % (1819859)Instructions burned: 8 (million)
% 4.60/1.57  % (1819862)Instruction limit reached! 
% 4.60/1.57  % (1819862)------------------------------
% 4.60/1.57  % (1819862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.57  % (1819862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.57  % (1819862)CaDiCaL version: 2.1.3
% 4.60/1.57  % (1819862)Termination reason: Instruction limit
% 4.60/1.57  % (1819862)Termination phase: Preprocessing 3
% 4.60/1.57  % (1819862)Time elapsed: 0.031 s
% 4.60/1.57  % (1819862)Peak memory usage: 87 MB
% 4.60/1.57  % (1819862)Instructions burned: 34 (million)
% 4.60/1.57  % (1819858)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3158126389:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.60/1.57  % (1819861)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1060255502:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.60/1.57  % (1819861)Instruction limit reached! 
% 4.60/1.57  % (1819861)------------------------------
% 4.60/1.57  % (1819861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.57  % (1819861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.85  % (1819861)CaDiCaL version: 2.1.3
% 6.24/1.85  % (1819861)Termination reason: Instruction limit
% 6.24/1.85  % (1819861)Termination phase: Property scanning
% 6.24/1.85  % (1819861)Time elapsed: 0.030 s
% 6.24/1.85  % (1819861)Peak memory usage: 88 MB
% 6.24/1.85  % (1819861)Instructions burned: 47 (million)
% 6.24/1.85  % (1819882)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2522257563:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 6.24/1.85  % (1819882)Instruction limit reached! 
% 6.24/1.85  % (1819882)------------------------------
% 6.24/1.85  % (1819882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.85  % (1819882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.85  % (1819882)CaDiCaL version: 2.1.3
% 6.24/1.85  % (1819882)Termination reason: Instruction limit
% 6.24/1.85  % (1819882)Termination phase: Preprocessing 1
% 6.24/1.85  % (1819882)Time elapsed: 0.014 s
% 6.24/1.85  % (1819882)Peak memory usage: 86 MB
% 6.24/1.85  % (1819882)Instructions burned: 29 (million)
% 6.24/1.85  % (1819880)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2457535099:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 6.24/1.85  % (1819880)Instruction limit reached! 
% 6.24/1.85  % (1819880)------------------------------
% 6.24/1.85  % (1819880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.85  % (1819880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.85  % (1819880)CaDiCaL version: 2.1.3
% 6.24/1.85  % (1819880)Termination reason: Instruction limit
% 6.24/1.85  % (1819880)Termination phase: SInE selection
% 6.24/1.85  % (1819880)Time elapsed: 0.009 s
% 6.24/1.85  % (1819880)Peak memory usage: 86 MB
% 6.24/1.85  % (1819880)Instructions burned: 15 (million)
% 6.24/1.85  % (1819858)Instruction limit reached! 
% 6.24/1.85  % (1819858)------------------------------
% 6.24/1.85  % (1819858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.85  % (1819858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.85  % (1819858)CaDiCaL version: 2.1.3
% 6.24/1.85  % (1819858)Termination reason: Instruction limit
% 6.24/1.85  % (1819858)Termination phase: Saturation
% 6.24/1.85  % (1819858)Time elapsed: 0.224 s
% 6.24/1.85  % (1819858)Peak memory usage: 118 MB
% 6.24/1.85  % (1819858)Instructions burned: 201 (million)
% 6.24/1.85  % (1819892)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=4248565510:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 6.24/1.85  % (1819886)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1281540938:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 6.24/1.85  % (1819885)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3086482938:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 6.24/1.85  % (1819883)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2139551968:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 6.24/1.85  % (1819883)Instruction limit reached! 
% 6.24/1.85  % (1819883)------------------------------
% 6.24/1.85  % (1819883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.85  % (1819883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.85  % (1819883)CaDiCaL version: 2.1.3
% 6.24/1.85  % (1819883)Termination reason: Instruction limit
% 6.24/1.85  % (1819883)Termination phase: Preprocessing 1
% 6.24/1.85  % (1819883)Time elapsed: 0.015 s
% 6.24/1.85  % (1819883)Peak memory usage: 86 MB
% 6.24/1.85  % (1819883)Instructions burned: 16 (million)
% 6.24/1.85  % (1819885)Instruction limit reached! 
% 6.24/1.85  % (1819885)------------------------------
% 6.24/1.85  % (1819885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.85  % (1819885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.85  % (1819885)CaDiCaL version: 2.1.3
% 6.24/1.85  % (1819885)Termination reason: Instruction limit
% 6.24/1.85  % (1819885)Termination phase: Property scanning
% 6.24/1.85  % (1819885)Time elapsed: 0.023 s
% 6.24/1.85  % (1819885)Peak memory usage: 86 MB
% 6.24/1.85  % (1819885)Instructions burned: 25 (million)
% 6.24/1.85  % (1819886)Instruction limit reached! 
% 6.24/1.85  % (1819886)------------------------------
% 9.75/2.10  % (1819886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.10  % (1819886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.10  % (1819886)CaDiCaL version: 2.1.3
% 9.75/2.10  % (1819886)Termination reason: Instruction limit
% 9.75/2.10  % (1819886)Termination phase: Preprocessing 1
% 9.75/2.10  % (1819886)Time elapsed: 0.026 s
% 9.75/2.10  % (1819886)Peak memory usage: 86 MB
% 9.75/2.10  % (1819886)Instructions burned: 29 (million)
% 9.75/2.10  % (1819892)Instruction limit reached! 
% 9.75/2.10  % (1819892)------------------------------
% 9.75/2.10  % (1819892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.10  % (1819892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.10  % (1819892)CaDiCaL version: 2.1.3
% 9.75/2.10  % (1819892)Termination reason: Instruction limit
% 9.75/2.10  % (1819892)Termination phase: Property scanning
% 9.75/2.10  % (1819892)Time elapsed: 0.067 s
% 9.75/2.10  % (1819892)Peak memory usage: 88 MB
% 9.75/2.10  % (1819892)Instructions burned: 86 (million)
% 9.75/2.10  % (1819901)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=125607974:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 9.75/2.10  % (1819904)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1205771883:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 9.75/2.10  % (1819901)Instruction limit reached! 
% 9.75/2.10  % (1819901)------------------------------
% 9.75/2.10  % (1819901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.10  % (1819901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.10  % (1819901)CaDiCaL version: 2.1.3
% 9.75/2.10  % (1819901)Termination reason: Instruction limit
% 9.75/2.10  % (1819901)Termination phase: shuffling
% 9.75/2.10  % (1819901)Time elapsed: 0.002 s
% 9.75/2.10  % (1819901)Peak memory usage: 85 MB
% 9.75/2.10  % (1819901)Instructions burned: 3 (million)
% 9.75/2.10  % (1819904)Refutation not found, incomplete strategy
% 9.75/2.10  % (1819904)------------------------------
% 9.75/2.10  % (1819904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.10  % (1819904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.10  % (1819904)CaDiCaL version: 2.1.3
% 9.75/2.10  % (1819904)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.10  % (1819904)Time elapsed: 0.011 s
% 9.75/2.10  % (1819904)Peak memory usage: 88 MB
% 9.75/2.10  % (1819904)Instructions burned: 18 (million)
% 9.75/2.10  % (1819905)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1952573346:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 9.75/2.10  % (1819905)Instruction limit reached! 
% 9.75/2.10  % (1819905)------------------------------
% 9.75/2.10  % (1819905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.10  % (1819905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.10  % (1819905)CaDiCaL version: 2.1.3
% 9.75/2.10  % (1819905)Termination reason: Instruction limit
% 9.75/2.10  % (1819905)Termination phase: Property scanning
% 9.75/2.10  % (1819905)Time elapsed: 0.005 s
% 9.75/2.10  % (1819905)Peak memory usage: 86 MB
% 9.75/2.10  % (1819905)Instructions burned: 4 (million)
% 9.75/2.10  % (1819914)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=551275748:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 9.75/2.10  % (1819914)Instruction limit reached! 
% 9.75/2.10  % (1819914)------------------------------
% 9.75/2.10  % (1819914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.10  % (1819914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.10  % (1819914)CaDiCaL version: 2.1.3
% 9.75/2.10  % (1819914)Termination reason: Instruction limit
% 9.75/2.10  % (1819914)Termination phase: shuffling
% 9.75/2.10  % (1819914)Time elapsed: 0.006 s
% 9.75/2.10  % (1819914)Peak memory usage: 85 MB
% 9.75/2.10  % (1819914)Instructions burned: 11 (million)
% 9.75/2.10  % (1819913)lrs+10_1_thi=all:si=on:fd=off:random_seed=4278946264:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 9.75/2.10  % (1819912)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2689943175:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 11.26/2.44  % (1819913)Instruction limit reached! 
% 11.26/2.44  % (1819913)------------------------------
% 11.26/2.44  % (1819913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44  % (1819913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44  % (1819913)CaDiCaL version: 2.1.3
% 11.26/2.44  % (1819913)Termination reason: Instruction limit
% 11.26/2.44  % (1819913)Termination phase: Preprocessing 1
% 11.26/2.44  % (1819913)Time elapsed: 0.045 s
% 11.26/2.44  % (1819913)Peak memory usage: 86 MB
% 11.26/2.44  % (1819913)Instructions burned: 53 (million)
% 11.26/2.44  % (1819923)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3700575124:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 11.26/2.44  % (1819916)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=416443257:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 11.26/2.44  % (1819923)Instruction limit reached! 
% 11.26/2.44  % (1819923)------------------------------
% 11.26/2.44  % (1819923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44  % (1819923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44  % (1819923)CaDiCaL version: 2.1.3
% 11.26/2.44  % (1819923)Termination reason: Instruction limit
% 11.26/2.44  % (1819923)Termination phase: shuffling
% 11.26/2.44  % (1819923)Time elapsed: 0.002 s
% 11.26/2.44  % (1819923)Peak memory usage: 85 MB
% 11.26/2.44  % (1819923)Instructions burned: 3 (million)
% 11.26/2.44  % (1819916)Instruction limit reached! 
% 11.26/2.44  % (1819916)------------------------------
% 11.26/2.44  % (1819916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44  % (1819916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44  % (1819916)CaDiCaL version: 2.1.3
% 11.26/2.44  % (1819916)Termination reason: Instruction limit
% 11.26/2.44  % (1819916)Termination phase: shuffling
% 11.26/2.44  % (1819916)Time elapsed: 0.003 s
% 11.26/2.44  % (1819916)Peak memory usage: 85 MB
% 11.26/2.44  % (1819916)Instructions burned: 2 (million)
% 11.26/2.44  % (1819912)Instruction limit reached! 
% 11.26/2.44  % (1819912)------------------------------
% 11.26/2.44  % (1819912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44  % (1819912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44  % (1819912)CaDiCaL version: 2.1.3
% 11.26/2.44  % (1819912)Termination reason: Instruction limit
% 11.26/2.44  % (1819912)Termination phase: Function definition elimination
% 11.26/2.44  % (1819912)Time elapsed: 0.062 s
% 11.26/2.44  % (1819912)Peak memory usage: 88 MB
% 11.26/2.44  % (1819912)Instructions burned: 67 (million)
% 11.26/2.44  % (1819929)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2751879547:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 11.26/2.44  % (1819931)dis+10_1_si=on:random_seed=1369407420:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 11.26/2.44  % (1819931)Instruction limit reached! 
% 11.26/2.44  % (1819931)------------------------------
% 11.26/2.44  % (1819931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/2.44  % (1819931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/2.44  % (1819931)CaDiCaL version: 2.1.3
% 11.26/2.44  % (1819931)Termination reason: Instruction limit
% 11.26/2.44  % (1819931)Termination phase: Property scanning
% 11.26/2.44  % (1819931)Time elapsed: 0.011 s
% 11.26/2.44  % (1819931)Peak memory usage: 86 MB
% 11.26/2.44  % (1819931)Instructions burned: 10 (million)
% 11.26/2.44  % (1819904)------------------------------
% 11.26/2.44  % (1819904)------------------------------
% 11.26/2.44  % (1819945)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=498561136:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 11.26/2.44  % (1819940)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2342824610:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 11.26/2.44  % (1819943)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=738009390:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 11.26/2.44  % (1819945)Instruction limit reached! 
% 11.26/2.44  % (1819945)------------------------------
% 11.26/2.44  % (1819945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.92  % (1819945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.92  % (1819945)CaDiCaL version: 2.1.3
% 12.80/2.92  % (1819945)Termination reason: Instruction limit
% 12.80/2.92  % (1819945)Termination phase: Property scanning
% 12.80/2.92  % (1819945)Time elapsed: 0.005 s
% 12.80/2.92  % (1819945)Peak memory usage: 86 MB
% 12.80/2.92  % (1819945)Instructions burned: 10 (million)
% 12.80/2.92  % (1819940)Instruction limit reached! 
% 12.80/2.92  % (1819940)------------------------------
% 12.80/2.92  % (1819940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.92  % (1819940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.92  % (1819940)CaDiCaL version: 2.1.3
% 12.80/2.92  % (1819940)Termination reason: Instruction limit
% 12.80/2.92  % (1819940)Termination phase: Preprocessing 1
% 12.80/2.92  % (1819940)Time elapsed: 0.020 s
% 12.80/2.92  % (1819940)Peak memory usage: 86 MB
% 12.80/2.92  % (1819940)Instructions burned: 26 (million)
% 12.80/2.92  % (1819943)Instruction limit reached! 
% 12.80/2.92  % (1819943)------------------------------
% 12.80/2.92  % (1819943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.92  % (1819943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.92  % (1819943)CaDiCaL version: 2.1.3
% 12.80/2.92  % (1819943)Termination reason: Instruction limit
% 12.80/2.92  % (1819943)Termination phase: shuffling
% 12.80/2.92  % (1819943)Time elapsed: 0.028 s
% 12.80/2.92  % (1819943)Peak memory usage: 86 MB
% 12.80/2.92  % (1819943)Instructions burned: 35 (million)
% 12.80/2.92  % (1819944)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1683999624:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 12.80/2.92  % (1819944)Instruction limit reached! 
% 12.80/2.92  % (1819944)------------------------------
% 12.80/2.92  % (1819944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.92  % (1819944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.92  % (1819944)CaDiCaL version: 2.1.3
% 12.80/2.92  % (1819944)Termination reason: Instruction limit
% 12.80/2.92  % (1819944)Termination phase: shuffling
% 12.80/2.92  % (1819944)Time elapsed: 0.003 s
% 12.80/2.92  % (1819944)Peak memory usage: 85 MB
% 12.80/2.92  % (1819944)Instructions burned: 2 (million)
% 12.80/2.92  % (1819929)Instruction limit reached! 
% 12.80/2.92  % (1819929)------------------------------
% 12.80/2.92  % (1819929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.92  % (1819929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.92  % (1819929)CaDiCaL version: 2.1.3
% 12.80/2.92  % (1819929)Termination reason: Instruction limit
% 12.80/2.92  % (1819929)Termination phase: Saturation
% 12.80/2.92  % (1819929)Time elapsed: 0.148 s
% 12.80/2.92  % (1819929)Peak memory usage: 115 MB
% 12.80/2.92  % (1819929)Instructions burned: 128 (million)
% 12.80/2.92  % (1819955)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3064891630:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2988 on theBenchmark for (2988ds/13Mi)
% 12.80/2.92  % (1819953)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3342319288:i=370:ep=RS:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/370Mi)
% 12.80/2.92  % (1819955)Instruction limit reached! 
% 12.80/2.92  % (1819955)------------------------------
% 12.80/2.92  % (1819955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.92  % (1819955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.92  % (1819955)CaDiCaL version: 2.1.3
% 12.80/2.92  % (1819955)Termination reason: Instruction limit
% 12.80/2.92  % (1819955)Termination phase: Property scanning
% 12.80/2.92  % (1819955)Time elapsed: 0.013 s
% 12.80/2.92  % (1819955)Peak memory usage: 85 MB
% 12.80/2.92  % (1819955)Instructions burned: 14 (million)
% 12.80/2.92  % (1819961)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=242211904:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 12.80/2.92  % (1819960)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3721289857:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 12.80/2.92  % (1819958)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=4085419403:i=226:rtra=on:gtg=position:ss=axioms_2988 on theBenchmark for (2988ds/226Mi)
% 12.80/2.92  % (1819960)Instruction limit reached! 
% 12.80/2.92  % (1819960)------------------------------
% 12.80/2.92  % (1819960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/3.03  % (1819960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/3.03  % (1819960)CaDiCaL version: 2.1.3
% 12.80/3.03  % (1819960)Termination reason: Instruction limit
% 12.80/3.03  % (1819960)Termination phase: Property scanning
% 12.80/3.03  % (1819960)Time elapsed: 0.008 s
% 12.80/3.03  % (1819960)Peak memory usage: 86 MB
% 12.80/3.03  % (1819960)Instructions burned: 10 (million)
% 12.80/3.03  % (1819963)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=248144383:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2988 on theBenchmark for (2988ds/75Mi)
% 12.80/3.03  % (1819961)Instruction limit reached! 
% 12.80/3.03  % (1819961)------------------------------
% 12.80/3.03  % (1819961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/3.03  % (1819961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/3.03  % (1819961)CaDiCaL version: 2.1.3
% 12.80/3.03  % (1819961)Termination reason: Instruction limit
% 12.80/3.03  % (1819961)Termination phase: Property scanning
% 12.80/3.03  % (1819961)Time elapsed: 0.060 s
% 12.80/3.03  % (1819961)Peak memory usage: 88 MB
% 12.80/3.03  % (1819961)Instructions burned: 71 (million)
% 12.80/3.03  % (1819958)Refutation not found, incomplete strategy
% 12.80/3.03  % (1819958)------------------------------
% 12.80/3.03  % (1819958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/3.03  % (1819958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/3.03  % (1819958)CaDiCaL version: 2.1.3
% 12.80/3.03  % (1819958)Termination reason: Refutation not found, incomplete strategy
% 12.80/3.03  % (1819958)Time elapsed: 0.062 s
% 12.80/3.03  % (1819958)Peak memory usage: 112 MB
% 12.80/3.03  % (1819958)Instructions burned: 34 (million)
% 12.80/3.03  % (1819963)Instruction limit reached! 
% 12.80/3.03  % (1819963)------------------------------
% 12.80/3.03  % (1819963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/3.03  % (1819963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/3.03  % (1819963)CaDiCaL version: 2.1.3
% 12.80/3.03  % (1819963)Termination reason: Instruction limit
% 12.80/3.03  % (1819963)Termination phase: Property scanning
% 12.80/3.03  % (1819963)Time elapsed: 0.042 s
% 12.80/3.03  % (1819963)Peak memory usage: 89 MB
% 12.80/3.03  % (1819963)Instructions burned: 77 (million)
% 12.80/3.03  % (1819967)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1045180324:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 12.80/3.03  % (1819973)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1800080652:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2986 on theBenchmark for (2986ds/130Mi)
% 12.80/3.03  % (1819973)Instruction limit reached! 
% 12.80/3.03  % (1819973)------------------------------
% 12.80/3.03  % (1819973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/3.03  % (1819973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/3.03  % (1819973)CaDiCaL version: 2.1.3
% 12.80/3.03  % (1819973)Termination reason: Instruction limit
% 12.80/3.03  % (1819973)Termination phase: Saturation
% 12.80/3.03  % (1819973)Time elapsed: 0.049 s
% 12.80/3.03  % (1819973)Peak memory usage: 115 MB
% 12.80/3.03  % (1819973)Instructions burned: 132 (million)
% 12.80/3.03  % (1819953)Instruction limit reached! 
% 12.80/3.03  % (1819953)------------------------------
% 12.80/3.03  % (1819953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/3.03  % (1819953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/3.03  % (1819953)CaDiCaL version: 2.1.3
% 12.80/3.03  % (1819953)Termination reason: Instruction limit
% 12.80/3.03  % (1819953)Termination phase: Saturation
% 12.80/3.03  % (1819953)Time elapsed: 0.306 s
% 12.80/3.03  % (1819953)Peak memory usage: 93 MB
% 12.80/3.03  % (1819953)Instructions burned: 370 (million)
% 12.80/3.03  % (1819977)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=3947407385:i=131:rtra=on_2986 on theBenchmark for (2986ds/131Mi)
% 12.80/3.03  % (1819983)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=4098769617:i=307:rtra=on:gtg=exists_top_2985 on theBenchmark for (2985ds/307Mi)
% 12.80/3.03  % (1819981)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3105910567:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2985 on theBenchmark for (2985ds/40Mi)
% 14.69/3.03  % (1819981)Instruction limit reached! 
% 14.69/3.03  % (1819981)------------------------------
% 14.69/3.03  % (1819981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.69/3.03  % (1819981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/3.03  % (1819981)CaDiCaL version: 2.1.3
% 14.69/3.03  % (1819981)Termination reason: Instruction limit
% 14.69/3.03  % (1819981)Termination phase: Property scanning
% 14.69/3.03  % (1819981)Time elapsed: 0.035 s
% 14.69/3.03  % (1819981)Peak memory usage: 86 MB
% 14.69/3.03  % (1819981)Instructions burned: 41 (million)
% 14.69/3.03  % (1819958)------------------------------
% 14.69/3.03  % (1819958)------------------------------
% 14.69/3.03  % (1819967)Instruction limit reached! 
% 14.69/3.03  % (1819967)------------------------------
% 14.69/3.03  % (1819967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.69/3.03  % (1819967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/3.03  % (1819967)CaDiCaL version: 2.1.3
% 14.69/3.03  % (1819967)Termination reason: Instruction limit
% 14.69/3.03  % (1819967)Termination phase: Saturation
% 14.69/3.04  % (1819967)Time elapsed: 0.295 s
% 14.69/3.04  % (1819967)Peak memory usage: 93 MB
% 14.69/3.04  % (1819967)Instructions burned: 295 (million)
% 14.69/3.04  % (1819990)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=339097819:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/598Mi)
% 14.69/3.04  % (1819977)Instruction limit reached! 
% 14.69/3.04  % (1819977)------------------------------
% 14.69/3.04  % (1819977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.69/3.04  % (1819977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/3.04  % (1819977)CaDiCaL version: 2.1.3
% 14.69/3.04  % (1819977)Termination reason: Instruction limit
% 14.69/3.04  % (1819977)Termination phase: Saturation
% 14.69/3.04  % (1819977)Time elapsed: 0.182 s
% 14.69/3.04  % (1819977)Peak memory usage: 132 MB
% 14.69/3.04  % (1819977)Instructions burned: 131 (million)
% 14.69/3.04  % (1819983)First to succeed.
% 14.69/3.04  % (1819983)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1819807"
% 14.69/3.04  % (1819996)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1956265107:i=131:canc=cautious:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/131Mi)
% 14.69/3.04  % (1820001)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=1316364059:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2982 on theBenchmark for (2982ds/259Mi)
% 14.69/3.04  % (1820004)dis+10_1_si=on:random_seed=1705644965:s2a=on:i=1000:rtra=on:gtg=exists_all_2981 on theBenchmark for (2981ds/1000Mi)
% 14.69/3.04  % (1820005)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=361031452:i=383:fsr=off:rtra=on:ev=force_2981 on theBenchmark for (2981ds/383Mi)
% 14.69/3.04  % (1820001)Refutation not found, incomplete strategy
% 14.69/3.04  % (1820001)------------------------------
% 14.69/3.04  % (1820001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.69/3.04  % (1820001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/3.04  % (1820001)CaDiCaL version: 2.1.3
% 14.69/3.04  % (1820001)Termination reason: Refutation not found, incomplete strategy
% 14.69/3.04  % (1820001)Time elapsed: 0.067 s
% 14.69/3.04  % (1820001)Peak memory usage: 112 MB
% 14.69/3.04  % (1820001)Instructions burned: 36 (million)
% 14.69/3.04  % (1819996)Instruction limit reached! 
% 14.69/3.04  % (1819996)------------------------------
% 14.69/3.04  % (1819996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.69/3.04  % (1819996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/3.04  % (1819996)CaDiCaL version: 2.1.3
% 14.69/3.04  % (1819996)Termination reason: Instruction limit
% 14.69/3.04  % (1819996)Termination phase: Saturation
% 14.69/3.04  % (1819996)Time elapsed: 0.151 s
% 14.69/3.04  % (1819996)Peak memory usage: 115 MB
% 14.69/3.04  % (1819996)Instructions burned: 131 (million)
% 14.69/3.04  % (1820006)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=3032613351:i=141:doe=on:rtra=on_2981 on theBenchmark for (2981ds/141Mi)
% 14.69/3.04  % (1819990)Instruction limit reached! 
% 14.69/3.04  % (1819990)------------------------------
% 14.69/3.04  % (1819990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.69/3.04  % (1819990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/3.04  % (1819990)CaDiCaL version: 2.1.3
% 14.69/3.04  % (1819990)Termination reason: Instruction limit
% 14.69/3.04  % (1819990)Termination phase: Saturation
% 14.69/3.04  % (1819990)Time elapsed: 0.393 s
% 14.69/3.04  % (1819990)Peak memory usage: 143 MB
% 14.69/3.04  % (1819990)Instructions burned: 598 (million)
% 14.69/3.04  % (1820006)Instruction limit reached! 
% 14.69/3.04  % (1820006)------------------------------
% 14.69/3.04  % (1820006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.69/3.04  % (1820006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/3.04  % (1820006)CaDiCaL version: 2.1.3
% 14.69/3.04  % (1820006)Termination reason: Instruction limit
% 14.69/3.04  % (1820006)Termination phase: Saturation
% 14.69/3.04  % (1820006)Time elapsed: 0.133 s
% 14.69/3.04  % (1820006)Peak memory usage: 91 MB
% 14.69/3.04  % (1820006)Instructions burned: 143 (million)
% 14.69/3.04  % (1819983)Refutation found. Thanks to Tanya!
% 14.69/3.04  % SZS status Unsatisfiable for theBenchmark
% 14.69/3.04  % SZS output start Proof for theBenchmark
% See solution above
% 16.68/3.26  % (1819983)------------------------------
% 16.68/3.26  % (1819983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/3.26  % (1819983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/3.26  % (1819983)CaDiCaL version: 2.1.3
% 16.68/3.26  % (1819983)Termination reason: Refutation
% 16.68/3.26  % (1819983)Time elapsed: 0.182 s
% 16.68/3.26  % (1819983)Peak memory usage: 93 MB
% 16.68/3.26  % (1819983)Instructions burned: 186 (million)
% 16.68/3.26  % (1819983)------------------------------
% 16.68/3.26  % (1819983)------------------------------
% 16.68/3.26  % (1819807)Success in time 2.315 s
% 16.68/3.26  % Vampire exiting
%------------------------------------------------------------------------------