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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW829_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 : n010.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 01:37:54 PM UTC 2026

% Result   : Unsatisfiable 8.04s 1.83s
% Output   : Refutation 10.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (  30 unt;   0 typ;   0 def)
%            Number of atoms       :   96 (  95 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   65 (  22   ~;  11   |;  26   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number arithmetic     :  208 (   0 atm;  92 fun; 105 num;  11 var)
%            Number of types       :   64 (  61 usr;   2 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :  472 ( 467 usr;  98 con; 0-6 aty)
%            Number of variables   :  126 ( 108   !;  18   ?; 126   :)

% 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,
    'S61': $tType ).

tff(type_def_61,type,
    'S29': $tType ).

tff(type_def_62,type,
    'S57': $tType ).

tff(type_def_63,type,
    'S11': $tType ).

tff(type_def_64,type,
    'S21': $tType ).

tff(type_def_65,type,
    'S44': $tType ).

tff(func_def_0,type,
    f4: 'S3' ).

tff(func_def_1,type,
    f123: 'S29' ).

tff(func_def_2,type,
    f37: ( 'S18' * 'S2' ) > 'S2' ).

tff(func_def_3,type,
    f91: ( 'S42' * 'S18' ) > 'S41' ).

tff(func_def_4,type,
    f103: ( 'S49' * 'S2' ) > 'S19' ).

tff(func_def_5,type,
    f51: 'S15' ).

tff(func_def_6,type,
    f47: 'S14' ).

tff(func_def_7,type,
    f78: ( 'S33' * 'S34' ) > 'S4' ).

tff(func_def_8,type,
    f132: 'S57' ).

tff(func_def_9,type,
    f84: ( 'S38' * 'S12' ) > 'S37' ).

tff(func_def_10,type,
    f61: ( 'S24' * 'S2' ) > 'S18' ).

tff(func_def_11,type,
    f49: 'S20' ).

tff(func_def_12,type,
    f110: 'S44' ).

tff(func_def_13,type,
    f20: 'S3' ).

tff(func_def_14,type,
    f130: 'S60' ).

tff(func_def_15,type,
    f77: 'S32' ).

tff(func_def_16,type,
    f15: 'S2' ).

tff(func_def_17,type,
    f80: 'S35' ).

tff(func_def_18,type,
    f102: 'S48' ).

tff(func_def_19,type,
    f75: ( 'S31' * 'S2' ) > 'S3' ).

tff(func_def_20,type,
    f53: 'S10' ).

tff(func_def_21,type,
    f42: 'S17' ).

tff(func_def_22,type,
    f52: 'S20' ).

tff(func_def_23,type,
    f35: 'S17' ).

tff(func_def_24,type,
    f10: 'S3' ).

tff(func_def_25,type,
    f105: ( 'S50' * $int ) > 'S20' ).

tff(func_def_26,type,
    f150: 'S4' ).

tff(func_def_27,type,
    f41: 'S20' ).

tff(func_def_28,type,
    f94: ( 'S44' * 'S9' ) > 'S43' ).

tff(func_def_29,type,
    f65: ( 'S26' * 'S3' ) > 'S7' ).

tff(func_def_30,type,
    f48: 'S19' ).

tff(func_def_31,type,
    f116: 'S6' ).

tff(func_def_32,type,
    f148: ( 'S2' * 'S34' ) > 'S1' ).

tff(func_def_33,type,
    f121: ( 'S57' * $int ) > 'S56' ).

tff(func_def_34,type,
    f146: ( 'S61' * 'S2' ) > 'S17' ).

tff(func_def_35,type,
    f151: 'S61' ).

tff(func_def_36,type,
    f117: ( 'S54' * $real ) > 'S37' ).

tff(func_def_37,type,
    f85: 'S38' ).

tff(func_def_38,type,
    f96: ( 'S45' * 'S34' ) > $int ).

tff(func_def_39,type,
    f122: 'S57' ).

tff(func_def_40,type,
    f28: 'S13' ).

tff(func_def_41,type,
    f135: 'S57' ).

tff(func_def_42,type,
    f39: 'S19' ).

tff(func_def_43,type,
    f27: ( 'S13' * $real ) > 'S12' ).

tff(func_def_44,type,
    f127: 'S55' ).

tff(func_def_45,type,
    f30: 'S14' ).

tff(func_def_46,type,
    f40: ( 'S20' * 'S9' ) > 'S9' ).

tff(func_def_47,type,
    f26: 'S12' ).

tff(func_def_48,type,
    f137: 'S55' ).

tff(func_def_49,type,
    f139: 'S57' ).

tff(func_def_50,type,
    f128: ( 'S59' * 'S2' ) > 'S24' ).

tff(func_def_51,type,
    f32: ( 'S16' * $real ) > 'S15' ).

tff(func_def_52,type,
    f74: 'S30' ).

tff(func_def_53,type,
    f143: 'S57' ).

tff(func_def_54,type,
    f125: 'S58' ).

tff(func_def_55,type,
    f62: 'S24' ).

tff(func_def_56,type,
    f21: 'S3' ).

tff(func_def_57,type,
    f86: ( 'S39' * 'S34' ) > $real ).

tff(func_def_58,type,
    f44: 'S19' ).

tff(func_def_59,type,
    f6: ( 'S6' * 'S4' ) > 'S5' ).

tff(func_def_60,type,
    f33: 'S16' ).

tff(func_def_61,type,
    f13: ( 'S9' * 'S2' ) > $int ).

tff(func_def_62,type,
    f97: ( 'S46' * 'S9' ) > 'S45' ).

tff(func_def_63,type,
    f87: ( 'S40' * 'S12' ) > 'S39' ).

tff(func_def_64,type,
    f67: ( 'S27' * 'S12' ) > 'S13' ).

tff(func_def_65,type,
    f119: 'S55' ).

tff(func_def_66,type,
    f59: ( 'S23' * 'S18' ) > 'S19' ).

tff(func_def_67,type,
    f142: 'S60' ).

tff(func_def_68,type,
    f70: 'S28' ).

tff(func_def_69,type,
    f79: ( 'S35' * 'S3' ) > 'S33' ).

tff(func_def_70,type,
    f46: 'S17' ).

tff(func_def_71,type,
    f145: 'S6' ).

tff(func_def_72,type,
    f136: 'S53' ).

tff(func_def_73,type,
    f3: ( 'S3' * 'S2' ) > 'S4' ).

tff(func_def_74,type,
    f14: 'S9' ).

tff(func_def_75,type,
    f19: 'S11' ).

tff(func_def_76,type,
    f147: 'S61' ).

tff(func_def_77,type,
    f114: ( 'S53' * 'S4' ) > 'S52' ).

tff(func_def_78,type,
    f1: 'S1' ).

tff(func_def_79,type,
    f89: 'S28' ).

tff(func_def_80,type,
    f81: ( 'S36' * 'S2' ) > 'S34' ).

tff(func_def_81,type,
    f24: 'S3' ).

tff(func_def_82,type,
    f149: ( 'S34' * 'S2' ) > 'S1' ).

tff(func_def_83,type,
    f90: ( 'S41' * 'S34' ) > 'S2' ).

tff(func_def_84,type,
    f66: 'S26' ).

tff(func_def_85,type,
    f138: 'S60' ).

tff(func_def_86,type,
    f23: 'S3' ).

tff(func_def_87,type,
    f95: 'S44' ).

tff(func_def_88,type,
    f72: ( 'S29' * $int ) > 'S9' ).

tff(func_def_89,type,
    f140: 'S53' ).

tff(func_def_90,type,
    f58: 'S22' ).

tff(func_def_91,type,
    f101: ( 'S48' * $real ) > 'S14' ).

tff(func_def_92,type,
    f60: 'S23' ).

tff(func_def_93,type,
    f64: 'S25' ).

tff(func_def_94,type,
    f131: 'S24' ).

tff(func_def_95,type,
    f73: ( 'S30' * 'S9' ) > 'S29' ).

tff(func_def_96,type,
    f25: ( 'S12' * 'S2' ) > $real ).

tff(func_def_97,type,
    f141: 'S55' ).

tff(func_def_98,type,
    f109: 'S28' ).

tff(func_def_99,type,
    f45: 'S20' ).

tff(func_def_100,type,
    f106: 'S50' ).

tff(func_def_101,type,
    f31: ( 'S15' * $real ) > $real ).

tff(func_def_102,type,
    f8: ( 'S7' * 'S4' ) > 'S3' ).

tff(func_def_103,type,
    f113: ( 'S52' * 'S4' ) > 'S31' ).

tff(func_def_104,type,
    f108: 'S38' ).

tff(func_def_105,type,
    f69: ( 'S28' * 'S18' ) > 'S24' ).

tff(func_def_106,type,
    f100: 'S47' ).

tff(func_def_107,type,
    f107: 'S32' ).

tff(func_def_108,type,
    f12: 'S8' ).

tff(func_def_109,type,
    f11: ( 'S8' * $int ) > 'S2' ).

tff(func_def_110,type,
    f63: ( 'S25' * 'S9' ) > 'S20' ).

tff(func_def_111,type,
    f120: ( 'S56' * $int ) > 'S43' ).

tff(func_def_112,type,
    f83: ( 'S37' * 'S2' ) > 'S12' ).

tff(func_def_113,type,
    f111: ( 'S51' * 'S2' ) > 'S14' ).

tff(func_def_114,type,
    f71: 'S24' ).

tff(func_def_115,type,
    f18: ( 'S11' * $int ) > 'S10' ).

tff(func_def_116,type,
    f7: 'S6' ).

tff(func_def_117,type,
    f98: 'S46' ).

tff(func_def_118,type,
    f56: 'S6' ).

tff(func_def_119,type,
    f76: ( 'S32' * 'S3' ) > 'S31' ).

tff(func_def_120,type,
    f93: ( 'S43' * 'S2' ) > 'S9' ).

tff(func_def_121,type,
    f2: 'S1' ).

tff(func_def_122,type,
    f5: ( 'S5' * 'S4' ) > 'S4' ).

tff(func_def_123,type,
    f82: 'S2' > 'S36' ).

tff(func_def_124,type,
    f68: 'S27' ).

tff(func_def_125,type,
    f22: 'S3' ).

tff(func_def_126,type,
    f133: 'S53' ).

tff(func_def_127,type,
    f36: 'S14' ).

tff(func_def_128,type,
    f29: ( 'S14' * 'S12' ) > 'S12' ).

tff(func_def_129,type,
    f126: 'S53' ).

tff(func_def_130,type,
    f55: 'S21' ).

tff(func_def_131,type,
    f17: ( 'S10' * $int ) > $int ).

tff(func_def_132,type,
    f92: 'S42' ).

tff(func_def_133,type,
    f54: ( 'S21' * 'S3' ) > 'S17' ).

tff(func_def_134,type,
    f38: ( 'S19' * 'S18' ) > 'S18' ).

tff(func_def_135,type,
    f104: 'S49' ).

tff(func_def_136,type,
    f43: 'S14' ).

tff(func_def_137,type,
    f57: ( 'S22' * 'S12' ) > 'S14' ).

tff(func_def_138,type,
    f9: 'S7' ).

tff(func_def_139,type,
    f88: 'S40' ).

tff(func_def_140,type,
    f50: 'S14' ).

tff(func_def_141,type,
    f112: 'S51' ).

tff(func_def_142,type,
    f16: 'S2' ).

tff(func_def_143,type,
    f34: ( 'S17' * 'S3' ) > 'S3' ).

tff(func_def_144,type,
    f118: ( 'S55' * $real ) > 'S54' ).

tff(func_def_145,type,
    f99: ( 'S47' * 'S4' ) > 'S17' ).

tff(func_def_146,type,
    f129: ( 'S60' * 'S2' ) > 'S59' ).

tff(func_def_147,type,
    f144: 'S58' ).

tff(func_def_148,type,
    f152: 'S16' ).

tff(func_def_149,type,
    f134: 'S55' ).

tff(func_def_150,type,
    f124: ( 'S58' * 'S2' ) > 'S32' ).

tff(func_def_151,type,
    f115: 'S53' ).

tff(func_def_168,type,
    sK5: ( $real * $real * $real ) > 'S15' ).

tff(func_def_169,type,
    sK6: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_170,type,
    sK7: ( 'S2' * 'S18' * 'S2' ) > $int ).

tff(func_def_171,type,
    sK8: ( 'S2' * 'S18' * 'S2' ) > $int ).

tff(func_def_172,type,
    sK9: ( $real * $real ) > 'S2' ).

tff(func_def_173,type,
    sK10: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_174,type,
    sK11: ( $int * $int * $int * $int ) > 'S10' ).

tff(func_def_175,type,
    sK12: ( $int * $int * $int * $int ) > 'S10' ).

tff(func_def_176,type,
    sK13: ( $real * 'S2' * $real ) > 'S34' ).

tff(func_def_177,type,
    sK14: ( 'S2' * 'S2' * 'S12' ) > 'S39' ).

tff(func_def_178,type,
    sK15: ( 'S2' * 'S2' * 'S12' ) > $int ).

tff(func_def_179,type,
    sK16: ( 'S9' * 'S2' ) > 'S36' ).

tff(func_def_180,type,
    sK17: ( 'S9' * 'S2' ) > 'S34' ).

tff(func_def_181,type,
    sK18: ( 'S2' * $int ) > 'S9' ).

tff(func_def_182,type,
    sK19: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_183,type,
    sK20: ( 'S2' * 'S2' * 'S18' * 'S2' ) > 'S41' ).

tff(func_def_184,type,
    sK21: ( 'S2' * 'S2' * 'S18' * 'S2' ) > $int ).

tff(func_def_185,type,
    sK22: ( 'S2' * 'S2' * 'S18' * 'S2' ) > 'S36' ).

tff(func_def_186,type,
    sK23: ( 'S2' * $int * 'S2' ) > 'S9' ).

tff(func_def_187,type,
    sK24: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_188,type,
    sK25: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_189,type,
    sK26: ( 'S18' * 'S2' * 'S2' ) > 'S36' ).

tff(func_def_190,type,
    sK27: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_191,type,
    sK28: ( 'S2' * 'S2' * 'S4' ) > 'S3' ).

tff(func_def_192,type,
    sK29: ( $real * $real * $real * $real ) > 'S15' ).

tff(func_def_193,type,
    sK30: ( $real * $real * $real * $real ) > 'S15' ).

tff(func_def_194,type,
    sK31: ( $int * $int * $int ) > 'S10' ).

tff(func_def_195,type,
    sK32: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_196,type,
    sK33: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_197,type,
    sK34: ( 'S2' * $real * 'S2' * $real ) > 'S12' ).

tff(func_def_198,type,
    sK35: ( $real * $real * 'S2' ) > 'S34' ).

tff(func_def_199,type,
    sK36: ( 'S12' * 'S2' * 'S2' * 'S2' ) > 'S39' ).

tff(func_def_200,type,
    sK37: ( 'S12' * 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_201,type,
    sK38: ( 'S12' * 'S2' * 'S2' * 'S2' ) > 'S36' ).

tff(func_def_202,type,
    sK39: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_203,type,
    sK40: ( 'S2' * 'S2' * $real ) > 'S12' ).

tff(func_def_204,type,
    sK41: ( 'S34' * 'S12' * 'S12' ) > 'S2' ).

tff(func_def_205,type,
    sK42: 'S2' > $int ).

tff(func_def_206,type,
    sK43: ( 'S2' * 'S2' * 'S2' ) > 'S34' ).

tff(func_def_207,type,
    sK44: ( $real * $real * $real * $real ) > 'S15' ).

tff(func_def_208,type,
    sK45: ( $real * $real * $real * $real ) > 'S15' ).

tff(func_def_209,type,
    sK46: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_210,type,
    sK47: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_211,type,
    sK48: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_212,type,
    sK49: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_213,type,
    sK50: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_214,type,
    sK51: ( 'S12' * 'S2' ) > 'S36' ).

tff(func_def_215,type,
    sK52: ( 'S12' * 'S2' ) > 'S34' ).

tff(func_def_216,type,
    sK53: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_217,type,
    sK54: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_218,type,
    sK55: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_219,type,
    sK56: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_220,type,
    sK57: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_221,type,
    sK58: ( 'S2' * $real ) > 'S12' ).

tff(func_def_222,type,
    sK59: ( 'S2' * 'S18' * 'S2' * 'S2' ) > $int ).

tff(func_def_223,type,
    sK60: ( $real * $real * $real ) > 'S15' ).

tff(func_def_224,type,
    sK61: ( $real * $real * $real ) > 'S15' ).

tff(func_def_225,type,
    sK62: ( $int * 'S2' * 'S18' * 'S18' ) > 'S2' ).

tff(func_def_226,type,
    sK63: ( 'S18' * 'S2' * 'S18' * 'S2' * 'S2' * 'S18' ) > 'S36' ).

tff(func_def_227,type,
    sK64: ( 'S18' * 'S2' * 'S18' * 'S2' * 'S2' * 'S18' ) > $int ).

tff(func_def_228,type,
    sK65: ( 'S18' * 'S2' * 'S18' * 'S2' * 'S2' * 'S18' ) > 'S2' ).

tff(func_def_229,type,
    sK66: ( 'S2' * 'S3' * 'S3' * $int ) > 'S2' ).

tff(func_def_230,type,
    sK67: ( 'S2' * 'S2' * 'S3' * 'S2' * 'S3' * 'S3' ) > 'S36' ).

tff(func_def_231,type,
    sK68: ( 'S2' * 'S2' * 'S3' * 'S2' * 'S3' * 'S3' ) > $int ).

tff(func_def_232,type,
    sK69: ( 'S2' * 'S2' * 'S3' * 'S2' * 'S3' * 'S3' ) > 'S2' ).

tff(func_def_233,type,
    sK70: ( 'S2' * 'S12' * 'S2' ) > 'S39' ).

tff(func_def_234,type,
    sK71: ( 'S2' * 'S12' * 'S2' ) > 'S36' ).

tff(func_def_235,type,
    sK72: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_236,type,
    sK73: ( 'S2' * 'S2' ) > $int ).

tff(func_def_237,type,
    sK74: ( 'S2' * 'S2' ) > $int ).

tff(func_def_238,type,
    sK75: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_239,type,
    sK76: ( $real * 'S2' * 'S2' ) > 'S12' ).

tff(func_def_240,type,
    sK77: ( $int * $int * $int ) > 'S10' ).

tff(func_def_241,type,
    sK78: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_242,type,
    sK79: ( 'S2' * $real * 'S2' ) > 'S12' ).

tff(func_def_243,type,
    sK80: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_244,type,
    sK81: ( 'S2' * 'S2' * 'S2' ) > 'S10' ).

tff(func_def_245,type,
    sK82: ( 'S2' * 'S2' * 'S4' ) > 'S3' ).

tff(func_def_246,type,
    sK83: ( 'S2' * 'S2' * 'S4' ) > $int ).

tff(func_def_247,type,
    sK84: ( 'S2' * 'S2' * 'S4' ) > $int ).

tff(func_def_248,type,
    sK85: $real > $real ).

tff(func_def_249,type,
    sK86: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_250,type,
    sK87: $int > 'S2' ).

tff(func_def_251,type,
    sK88: ( 'S18' * 'S2' ) > 'S36' ).

tff(func_def_252,type,
    sK89: ( 'S18' * 'S2' ) > 'S34' ).

tff(func_def_253,type,
    sK90: ( 'S2' * 'S12' * 'S2' ) > 'S36' ).

tff(func_def_254,type,
    sK91: ( 'S2' * 'S2' ) > 'S2' ).

tff(func_def_255,type,
    sK92: ( $int * $int * $int * $int ) > $int ).

tff(func_def_256,type,
    sK93: ( $int * $int * $int * $int ) > 'S10' ).

tff(func_def_257,type,
    sK94: $real > $real ).

tff(func_def_258,type,
    sK95: ( $int * 'S2' * $int ) > 'S34' ).

tff(func_def_259,type,
    sK96: ( 'S34' * 'S9' * 'S9' ) > 'S2' ).

tff(func_def_260,type,
    sK97: ( $real * 'S2' ) > 'S12' ).

tff(func_def_261,type,
    sK98: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_262,type,
    sK99: ( 'S4' * 'S2' ) > 'S4' ).

tff(func_def_263,type,
    sK100: 'S12' > 'S2' ).

tff(func_def_264,type,
    sK101: ( 'S9' * 'S2' * 'S2' ) > $int ).

tff(func_def_265,type,
    sK102: ( 'S9' * 'S2' * 'S2' ) > $int ).

tff(func_def_266,type,
    sK103: $real > 'S2' ).

tff(func_def_267,type,
    sK104: ( $int * $int * $int ) > 'S10' ).

tff(func_def_268,type,
    sK105: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_269,type,
    sK106: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_270,type,
    sK107: ( $int * 'S2' ) > 'S9' ).

tff(func_def_271,type,
    sK108: ( $int * 'S2' ) > $int ).

tff(func_def_272,type,
    sK109: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_273,type,
    sK110: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_274,type,
    sK111: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_275,type,
    sK112: $real > $real ).

tff(func_def_276,type,
    sK113: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_277,type,
    sK114: ( $real * $real ) > 'S2' ).

tff(func_def_278,type,
    sK115: ( $real * $real ) > $real ).

tff(func_def_279,type,
    sK116: ( $real * $real ) > 'S2' ).

tff(func_def_280,type,
    sK117: 'S2' > $int ).

tff(func_def_281,type,
    sK118: ( $real * 'S2' * $real ) > 'S34' ).

tff(func_def_282,type,
    sK119: ( 'S3' * 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_283,type,
    sK120: ( 'S9' * 'S34' ) > $int ).

tff(func_def_284,type,
    sK121: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_285,type,
    sK122: ( $int * 'S2' * 'S2' ) > 'S9' ).

tff(func_def_286,type,
    sK123: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_287,type,
    sK124: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_288,type,
    sK125: ( 'S2' * 'S2' * 'S2' * 'S3' ) > $int ).

tff(func_def_289,type,
    sK126: ( 'S2' * 'S2' * 'S2' * 'S3' ) > 'S36' ).

tff(func_def_290,type,
    sK127: ( 'S2' * 'S2' * 'S2' * 'S3' ) > 'S33' ).

tff(func_def_291,type,
    sK128: ( 'S2' * 'S2' * $real ) > 'S12' ).

tff(func_def_292,type,
    sK129: ( 'S2' * 'S2' * $real ) > $int ).

tff(func_def_293,type,
    sK130: ( 'S2' * 'S2' * $real ) > $int ).

tff(func_def_294,type,
    sK131: ( $real * $real * 'S2' * 'S2' ) > 'S12' ).

tff(func_def_295,type,
    sK132: ( $real * $real * 'S2' * 'S2' ) > 'S2' ).

tff(func_def_296,type,
    sK133: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_297,type,
    sK134: ( $real * $real * $real ) > 'S15' ).

tff(func_def_298,type,
    sK135: ( $real * $real * $real ) > 'S15' ).

tff(func_def_299,type,
    sK136: ( 'S2' * 'S3' * 'S2' ) > 'S33' ).

tff(func_def_300,type,
    sK137: ( 'S2' * 'S3' * 'S2' ) > $int ).

tff(func_def_301,type,
    sK138: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_302,type,
    sK139: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_303,type,
    sK140: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_304,type,
    sK141: 'S18' > 'S2' ).

tff(func_def_305,type,
    sK142: 'S2' > 'S2' ).

tff(func_def_306,type,
    sK143: ( 'S34' * 'S12' ) > $real ).

tff(func_def_307,type,
    sK144: ( $int * 'S2' ) > 'S9' ).

tff(func_def_308,type,
    sK145: ( 'S2' * $int * $int * 'S2' ) > 'S2' ).

tff(func_def_309,type,
    sK146: ( 'S2' * $int * $int * 'S2' ) > 'S9' ).

tff(func_def_310,type,
    sK147: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_311,type,
    sK148: ( 'S2' * 'S9' * 'S2' * 'S2' ) > $int ).

tff(func_def_312,type,
    sK149: ( 'S2' * 'S9' * 'S2' * 'S2' ) > 'S36' ).

tff(func_def_313,type,
    sK150: ( 'S2' * 'S9' * 'S2' * 'S2' ) > 'S45' ).

tff(func_def_314,type,
    sK151: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_315,type,
    sK152: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_316,type,
    sK153: ( 'S2' * 'S4' * 'S2' ) > 'S3' ).

tff(func_def_317,type,
    sK154: ( 'S2' * 'S4' * 'S2' ) > $int ).

tff(func_def_318,type,
    sK155: ( 'S2' * 'S4' * 'S2' ) > $int ).

tff(func_def_319,type,
    sK156: ( 'S4' * 'S2' ) > 'S4' ).

tff(func_def_320,type,
    sK157: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_321,type,
    sK158: ( 'S3' * 'S2' * 'S2' ) > 'S36' ).

tff(func_def_322,type,
    sK159: ( 'S18' * 'S18' * 'S34' ) > 'S2' ).

tff(func_def_323,type,
    sK160: ( $real * $real * $real ) > 'S15' ).

tff(func_def_324,type,
    sK161: ( $real * $real * $real * $real ) > 'S15' ).

tff(func_def_325,type,
    sK162: ( $real * $real * $real * $real ) > 'S15' ).

tff(func_def_326,type,
    sK163: $real > $real ).

tff(func_def_327,type,
    sK164: ( 'S2' * $real ) > 'S12' ).

tff(func_def_328,type,
    sK165: ( 'S2' * $real ) > $real ).

tff(func_def_329,type,
    sK166: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_330,type,
    sK167: ( 'S2' * 'S3' * 'S2' ) > $int ).

tff(func_def_331,type,
    sK168: ( 'S2' * 'S3' * 'S2' ) > $int ).

tff(func_def_332,type,
    sK169: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_333,type,
    sK170: ( 'S2' * $real ) > 'S12' ).

tff(func_def_334,type,
    sK171: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_335,type,
    sK172: ( 'S2' * $int * $int ) > 'S34' ).

tff(func_def_336,type,
    sK173: ( 'S34' * 'S3' * 'S3' ) > 'S2' ).

tff(func_def_337,type,
    sK174: ( 'S18' * 'S2' * 'S2' ) > $int ).

tff(func_def_338,type,
    sK175: ( 'S18' * 'S2' * 'S2' ) > 'S41' ).

tff(func_def_339,type,
    sK176: ( $int * $int * $int * $int ) > 'S10' ).

tff(func_def_340,type,
    sK177: ( $int * $int * $int * $int ) > 'S10' ).

tff(func_def_341,type,
    sK178: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_342,type,
    sK179: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_343,type,
    sK180: ( $real * 'S2' ) > $real ).

tff(func_def_344,type,
    sK181: ( 'S2' * 'S2' * 'S18' ) > 'S36' ).

tff(func_def_345,type,
    sK182: ( 'S2' * 'S2' * 'S18' ) > 'S41' ).

tff(func_def_346,type,
    sK183: ( 'S4' * 'S4' * 'S2' * 'S2' ) > 'S3' ).

tff(func_def_347,type,
    sK184: ( $int * 'S2' ) > 'S9' ).

tff(func_def_348,type,
    sK185: ( 'S2' * 'S2' * 'S9' ) > 'S36' ).

tff(func_def_349,type,
    sK186: ( 'S2' * 'S4' * 'S4' ) > 'S34' ).

tff(func_def_350,type,
    sK187: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_351,type,
    sK188: ( 'S4' * 'S2' * 'S4' ) > 'S34' ).

tff(func_def_352,type,
    sK189: ( 'S2' * 'S2' * $int ) > 'S9' ).

tff(func_def_353,type,
    sK190: ( 'S2' * 'S2' ) > $int ).

tff(func_def_354,type,
    sK191: ( 'S2' * $int ) > 'S9' ).

tff(func_def_355,type,
    sK192: ( 'S2' * $int ) > $int ).

tff(func_def_356,type,
    sK193: ( 'S2' * 'S12' * 'S12' * $int ) > 'S2' ).

tff(func_def_357,type,
    sK194: ( 'S12' * 'S2' * 'S12' * 'S2' * 'S12' * 'S2' ) > $int ).

tff(func_def_358,type,
    sK195: ( 'S12' * 'S2' * 'S12' * 'S2' * 'S12' * 'S2' ) > 'S36' ).

tff(func_def_359,type,
    sK196: ( 'S12' * 'S2' * 'S12' * 'S2' * 'S12' * 'S2' ) > 'S2' ).

tff(func_def_360,type,
    sK197: ( $int * 'S2' ) > 'S9' ).

tff(func_def_361,type,
    sK198: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_362,type,
    sK199: ( 'S2' * 'S2' ) > $int ).

tff(func_def_363,type,
    sK200: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_364,type,
    sK201: ( $int * 'S2' ) > 'S9' ).

tff(func_def_365,type,
    sK202: ( 'S2' * $real ) > 'S12' ).

tff(func_def_366,type,
    sK203: 'S2' > $int ).

tff(func_def_367,type,
    sK204: ( 'S4' * 'S2' * 'S2' ) > 'S3' ).

tff(func_def_368,type,
    sK205: 'S36' ).

tff(func_def_369,type,
    sK206: 'S34' ).

tff(func_def_370,type,
    sK207: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_371,type,
    sK208: ( $real * $real * $real * $real ) > 'S15' ).

tff(func_def_372,type,
    sK209: ( 'S2' * 'S2' * 'S9' ) > $int ).

tff(func_def_373,type,
    sK210: ( 'S2' * 'S2' * 'S9' ) > 'S45' ).

tff(func_def_374,type,
    sK211: ( $real * $real * $real ) > 'S15' ).

tff(func_def_375,type,
    sK212: ( 'S2' * 'S2' * $real ) > 'S12' ).

tff(func_def_376,type,
    sK213: ( 'S2' * 'S2' * $real ) > $int ).

tff(func_def_377,type,
    sK214: ( 'S2' * 'S2' * $real ) > $int ).

tff(func_def_378,type,
    sK215: ( $int * $int * $int * $int ) > 'S10' ).

tff(func_def_379,type,
    sK216: ( $int * $int * $int * $int ) > 'S10' ).

tff(func_def_380,type,
    sK217: ( $real * $real ) > $real ).

tff(func_def_381,type,
    sK218: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_382,type,
    sK219: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_383,type,
    sK220: ( $int * $int * $int ) > 'S10' ).

tff(func_def_384,type,
    sK221: ( $real * $real * $real ) > 'S15' ).

tff(func_def_385,type,
    sK222: ( 'S2' * 'S2' * 'S12' * 'S2' ) > $int ).

tff(func_def_386,type,
    sK223: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_387,type,
    sK224: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_388,type,
    sK225: ( 'S2' * $real * 'S2' ) > 'S12' ).

tff(func_def_389,type,
    sK226: ( $real * $real * $real ) > 'S15' ).

tff(func_def_390,type,
    sK227: ( 'S2' * 'S3' ) > 'S36' ).

tff(func_def_391,type,
    sK228: ( 'S2' * 'S3' ) > 'S34' ).

tff(func_def_392,type,
    sK229: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_393,type,
    sK230: ( $real * $real * $real * $real ) > $real ).

tff(func_def_394,type,
    sK231: ( $real * $real * $real * $real ) > 'S15' ).

tff(func_def_395,type,
    sK232: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_396,type,
    sK233: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_397,type,
    sK234: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_398,type,
    sK235: ( 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_399,type,
    sK236: ( 'S2' * $int ) > $int ).

tff(func_def_400,type,
    sK237: ( 'S2' * 'S2' * $int ) > 'S9' ).

tff(func_def_401,type,
    sK238: $int > $int ).

tff(func_def_402,type,
    sK239: ( $real * $real * $real ) > 'S15' ).

tff(func_def_403,type,
    sK240: 'S3' > 'S2' ).

tff(func_def_404,type,
    sK241: ( 'S4' * 'S2' * 'S4' ) > 'S34' ).

tff(func_def_405,type,
    sK242: ( 'S2' * $real ) > 'S12' ).

tff(func_def_406,type,
    sK243: ( 'S2' * $int * 'S2' ) > 'S9' ).

tff(func_def_407,type,
    sK244: ( 'S2' * $int * 'S2' ) > $int ).

tff(func_def_408,type,
    sK245: ( 'S2' * $int * 'S2' ) > $int ).

tff(func_def_409,type,
    sK246: ( 'S12' * 'S2' * 'S2' ) > 'S39' ).

tff(func_def_410,type,
    sK247: ( 'S12' * 'S2' * 'S2' ) > 'S36' ).

tff(func_def_411,type,
    sK248: 'S2' > $int ).

tff(func_def_412,type,
    sK249: ( $int * 'S2' ) > 'S9' ).

tff(func_def_413,type,
    sK250: ( $int * 'S2' ) > $int ).

tff(func_def_414,type,
    sK251: ( 'S2' * $int ) > 'S9' ).

tff(func_def_415,type,
    sK252: 'S2' > $int ).

tff(func_def_416,type,
    sK253: 'S2' > 'S3' ).

tff(func_def_417,type,
    sK254: ( 'S2' * 'S4' * 'S2' ) > 'S3' ).

tff(func_def_418,type,
    sK255: ( 'S2' * 'S2' * 'S4' ) > 'S3' ).

tff(func_def_419,type,
    sK256: 'S34' ).

tff(func_def_420,type,
    sK257: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_421,type,
    sK258: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_422,type,
    sK259: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S2' ).

tff(func_def_423,type,
    sK260: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_424,type,
    sK261: $int > $int ).

tff(func_def_425,type,
    sK262: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_426,type,
    sK263: ( 'S18' * 'S34' * 'S18' ) > 'S2' ).

tff(func_def_427,type,
    sK264: ( 'S2' * 'S2' * 'S2' ) > 'S10' ).

tff(func_def_428,type,
    sK265: ( 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_429,type,
    sK266: ( 'S2' * 'S9' * 'S2' ) > 'S45' ).

tff(func_def_430,type,
    sK267: ( 'S2' * 'S9' * 'S2' ) > 'S36' ).

tff(func_def_431,type,
    sK268: ( 'S2' * 'S3' * 'S2' ) > 'S36' ).

tff(func_def_432,type,
    sK269: ( 'S2' * 'S3' * 'S2' ) > 'S33' ).

tff(func_def_433,type,
    sK270: ( 'S2' * $int * $int ) > 'S34' ).

tff(func_def_434,type,
    sK271: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_435,type,
    sK272: ( $real * $real * $real ) > 'S15' ).

tff(func_def_436,type,
    sK273: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_437,type,
    sK274: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_438,type,
    sK275: ( 'S2' * 'S4' * 'S4' * 'S2' ) > 'S3' ).

tff(func_def_439,type,
    sK276: ( 'S2' * 'S4' * 'S4' * 'S2' ) > 'S2' ).

tff(func_def_440,type,
    sK277: ( 'S2' * $real ) > $int ).

tff(func_def_441,type,
    sK278: ( 'S2' * $real ) > 'S12' ).

tff(func_def_442,type,
    sK279: ( $int * $int * $int * $int ) > 'S10' ).

tff(func_def_443,type,
    sK280: ( 'S2' * 'S2' * 'S2' ) > 'S34' ).

tff(func_def_444,type,
    sK281: ( $real * 'S2' ) > 'S12' ).

tff(func_def_445,type,
    sK282: ( 'S2' * $int * 'S2' * $int ) > 'S9' ).

tff(func_def_446,type,
    sK283: ( 'S2' * 'S12' * 'S2' ) > $int ).

tff(func_def_447,type,
    sK284: ( 'S2' * 'S12' * 'S2' ) > $int ).

tff(func_def_448,type,
    sK285: ( 'S9' * 'S9' * 'S2' * $int ) > 'S2' ).

tff(func_def_449,type,
    sK286: ( 'S9' * 'S2' * 'S2' * 'S9' * 'S2' * 'S9' ) > 'S36' ).

tff(func_def_450,type,
    sK287: ( 'S9' * 'S2' * 'S2' * 'S9' * 'S2' * 'S9' ) > $int ).

tff(func_def_451,type,
    sK288: ( 'S9' * 'S2' * 'S2' * 'S9' * 'S2' * 'S9' ) > 'S2' ).

tff(func_def_452,type,
    sK289: ( $real * $real ) > $real ).

tff(func_def_453,type,
    sK290: 'S9' > 'S2' ).

tff(func_def_454,type,
    sK291: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_455,type,
    sK292: ( 'S2' * 'S4' ) > 'S3' ).

tff(func_def_456,type,
    sK293: ( 'S2' * 'S4' ) > 'S4' ).

tff(func_def_457,type,
    sK294: ( $real * $real * $real ) > 'S15' ).

tff(func_def_458,type,
    sK295: ( 'S2' * 'S2' ) > $int ).

tff(func_def_459,type,
    sK296: ( 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_460,type,
    sK297: ( 'S2' * $real ) > 'S12' ).

tff(func_def_461,type,
    sK298: ( 'S2' * $real ) > $real ).

tff(func_def_462,type,
    sK299: ( 'S34' * 'S3' * 'S3' ) > 'S2' ).

tff(func_def_463,type,
    sK300: ( 'S12' * 'S12' * 'S34' ) > 'S2' ).

tff(func_def_464,type,
    sK301: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_465,type,
    sK302: ( $int * $int * $int ) > 'S10' ).

tff(func_def_466,type,
    sK303: ( $int * $int * $int ) > 'S10' ).

tff(func_def_467,type,
    sK304: ( 'S4' * 'S2' ) > 'S3' ).

tff(func_def_468,type,
    sK305: ( 'S4' * 'S2' ) > $int ).

tff(func_def_469,type,
    sK306: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S4' ).

tff(func_def_470,type,
    sK307: ( 'S4' * 'S4' * 'S4' * 'S4' ) > 'S5' ).

tff(func_def_471,type,
    sK308: ( 'S3' * 'S2' * 'S2' ) > 'S2' ).

tff(func_def_472,type,
    sK309: ( 'S3' * 'S2' * 'S2' ) > 'S17' ).

tff(func_def_473,type,
    sK310: ( 'S2' * 'S12' * 'S2' ) > 'S39' ).

tff(func_def_474,type,
    sK311: ( 'S2' * 'S12' * 'S2' ) > 'S36' ).

tff(func_def_475,type,
    sK312: ( 'S34' * 'S9' * 'S9' ) > 'S2' ).

tff(func_def_476,type,
    sK313: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_477,type,
    sK314: ( 'S2' * 'S2' * 'S2' * 'S2' ) > 'S18' ).

tff(func_def_478,type,
    sK315: ( 'S9' * 'S2' * 'S2' * 'S2' ) > $int ).

tff(func_def_479,type,
    sK316: ( $real * $real * $real ) > $real ).

tff(func_def_480,type,
    sK317: ( 'S2' * 'S2' ) > 'S18' ).

tff(func_def_481,type,
    sK318: ( $real * 'S2' ) > 'S12' ).

tff(func_def_482,type,
    sK319: ( $int * 'S2' ) > 'S9' ).

tff(pred_def_5,type,
    sP0: ( $int * 'S2' * 'S18' * 'S18' ) > $o ).

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

tff(pred_def_7,type,
    sP2: ( 'S2' * 'S12' * 'S12' * $int ) > $o ).

tff(pred_def_8,type,
    sP3: ( 'S9' * 'S9' * 'S2' * $int ) > $o ).

tff(pred_def_9,type,
    sP4: ( $real * $real * $real * $real ) > $o ).

tff(f2,axiom,
    ! [X0: 'S2'] :
    ? [X2: $int,X1: 'S3'] :
      ( ( X2 = $product(2,f13(f14,X0)) )
      & ( f3(f4,X0) = f5(f6(f7,f5(f6(f7,f3(X1,f16)),f3(X1,f11(f12,f17(f18(f19,f13(f14,f16)),X2))))),f3(f20,f11(f12,$sum(X2,1)))) )
      & ( X1 = f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).

tff(f6,axiom,
    ! [X0: 'S2'] : ( f3(f24,X0) = f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X0)),f3(f20,f11(f12,$sum($product(2,f13(f14,X0)),1))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).

tff(f64,negated_conjecture,
    ? [X0: 'S34'] :
      ( ( X0 = f81(f82(f11(f12,0)),f15) )
      & ( f78(f79(f80,f4),X0) != f78(f79(f80,f24),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_64) ).

tff(f67,axiom,
    ! [X2: 'S2',X0: 'S2',X1: 'S2'] :
    ? [X4: $int,X3: 'S10'] :
      ( ( X4 = f13(f14,X2) )
      & ( X3 = f18(f19,f13(f14,X1)) )
      & ( f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,X0))))),f11(f12,f17(X3,$product(2,X4)))) = f3(f8(f9,f3(f10,X0)),f11(f12,f17(X3,X4))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_67) ).

tff(f111,axiom,
    ! [X1: $int,X0: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_111) ).

tff(f208,axiom,
    ! [X0: 'S4',X1: 'S4',X2: 'S4'] :
    ? [X3: 'S5'] :
      ( ( X3 = f6(f7,X0) )
      & ( f5(X3,f5(f6(f7,X1),X2)) = f5(f6(f7,f5(X3,X1)),X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_208) ).

tff(f288,axiom,
    ! [X1: 'S2',X2: 'S2',X0: 'S4'] :
    ? [X3: 'S3'] :
      ( ( f3(X3,f11(f12,f17(f18(f19,f13(f14,X1)),f13(f14,X2)))) = f3(f8(f9,f3(X3,X1)),X2) )
      & ( X3 = f8(f9,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_288) ).

tff(f370,axiom,
    ! [X2: 'S3',X3: 'S3',X1: 'S34',X0: 'S34'] :
      ( ( X0 = X1 )
     => ( ! [X4: 'S2'] :
            ( ( f148(X4,X1) = f1 )
           => ( f3(X2,X4) = f3(X3,X4) ) )
       => ( f78(f79(f80,X2),X0) = f78(f79(f80,X3),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_370) ).

tff(f476,plain,
    ! [X0: 'S2'] :
    ? [X1: $int,X2: 'S3'] :
      ( ( f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))) = X2 )
      & ( f3(f4,X0) = f5(f6(f7,f5(f6(f7,f3(X2,f16)),f3(X2,f11(f12,f17(f18(f19,f13(f14,f16)),X1))))),f3(f20,f11(f12,$sum(X1,1)))) )
      & ( $product(2,f13(f14,X0)) = X1 ) ),
    inference(rectify,[],[f2]) ).

tff(f505,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    inference(rectify,[],[f111]) ).

tff(f544,plain,
    ! [X1: 'S2',X2: 'S4',X0: 'S2'] :
    ? [X3: 'S3'] :
      ( ( f8(f9,X2) = X3 )
      & ( f3(f8(f9,f3(X3,X0)),X1) = f3(X3,f11(f12,f17(f18(f19,f13(f14,X0)),f13(f14,X1)))) ) ),
    inference(rectify,[],[f288]) ).

tff(f690,plain,
    ! [X3: 'S34',X2: 'S34',X1: 'S3',X0: 'S3'] :
      ( ( X2 = X3 )
     => ( ! [X4: 'S2'] :
            ( ( f1 = f148(X4,X2) )
           => ( f3(X0,X4) = f3(X1,X4) ) )
       => ( f78(f79(f80,X1),X2) = f78(f79(f80,X0),X3) ) ) ),
    inference(rectify,[],[f370]) ).

tff(f692,plain,
    ! [X0: 'S2',X1: 'S2',X2: 'S2'] :
    ? [X4: 'S10',X3: $int] :
      ( ( f18(f19,f13(f14,X2)) = X4 )
      & ( f13(f14,X0) = X3 )
      & ( f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,X1))))),f11(f12,f17(X4,$product(2,X3)))) = f3(f8(f9,f3(f10,X1)),f11(f12,f17(X4,X3))) ) ),
    inference(rectify,[],[f67]) ).

tff(f782,plain,
    ! [X3: 'S34',X2: 'S34',X1: 'S3',X0: 'S3'] :
      ( ( f78(f79(f80,X1),X2) = f78(f79(f80,X0),X3) )
      | ? [X4: 'S2'] :
          ( ( f3(X0,X4) != f3(X1,X4) )
          & ( f1 = f148(X4,X2) ) )
      | ( X2 != X3 ) ),
    inference(ennf_transformation,[],[f690]) ).

tff(f783,plain,
    ! [X2: 'S34',X0: 'S3',X1: 'S3',X3: 'S34'] :
      ( ( f78(f79(f80,X1),X2) = f78(f79(f80,X0),X3) )
      | ? [X4: 'S2'] :
          ( ( f3(X0,X4) != f3(X1,X4) )
          & ( f1 = f148(X4,X2) ) )
      | ( X2 != X3 ) ),
    inference(flattening,[],[f782]) ).

tff(f1106,plain,
    ! [X0: 'S4',X1: 'S4',X2: 'S4'] :
      ( ( f6(f7,X0) = sK169(X0,X1,X2) )
      & ( f5(sK169(X0,X1,X2),f5(f6(f7,X1),X2)) = f5(f6(f7,f5(sK169(X0,X1,X2),X1)),X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK169]),skolemize(X3,sK169(X0,X1,X2))],[f208]) ).

tff(f1114,plain,
    ! [X0: 'S34',X1: 'S3',X2: 'S3',X3: 'S34'] :
      ( ( f78(f79(f80,X2),X0) = f78(f79(f80,X1),X3) )
      | ? [X4: 'S2'] :
          ( ( f3(X2,X4) != f3(X1,X4) )
          & ( f1 = f148(X4,X0) ) )
      | ( X0 != X3 ) ),
    inference(rectify,[],[f783]) ).

tff(f1115,plain,
    ! [X0: 'S34',X1: 'S3',X2: 'S3',X3: 'S34'] :
      ( ( f78(f79(f80,X2),X0) = f78(f79(f80,X1),X3) )
      | ( ( f3(X2,sK173(X0,X1,X2)) != f3(X1,sK173(X0,X1,X2)) )
        & ( f1 = f148(sK173(X0,X1,X2),X0) ) )
      | ( X0 != X3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK173]),skolemize(X4,sK173(X0,X1,X2))],[f1114]) ).

tff(f1243,plain,
    ! [X0: 'S2'] :
      ( ( f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))) = sK253(X0) )
      & ( f3(f4,X0) = f5(f6(f7,f5(f6(f7,f3(sK253(X0),f16)),f3(sK253(X0),f11(f12,f17(f18(f19,f13(f14,f16)),sK252(X0)))))),f3(f20,f11(f12,$sum(sK252(X0),1)))) )
      & ( $product(2,f13(f14,X0)) = sK252(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK252,sK253]),skolemize(X1,sK252(X0)),skolemize(X2,sK253(X0))],[f476]) ).

tff(f1245,plain,
    ! [X0: 'S2',X1: 'S4',X2: 'S2'] :
    ? [X3: 'S3'] :
      ( ( f8(f9,X1) = X3 )
      & ( f3(f8(f9,f3(X3,X2)),X0) = f3(X3,f11(f12,f17(f18(f19,f13(f14,X2)),f13(f14,X0)))) ) ),
    inference(rectify,[],[f544]) ).

tff(f1246,plain,
    ! [X0: 'S2',X1: 'S4',X2: 'S2'] :
      ( ( f8(f9,X1) = sK254(X0,X1,X2) )
      & ( f3(sK254(X0,X1,X2),f11(f12,f17(f18(f19,f13(f14,X2)),f13(f14,X0)))) = f3(f8(f9,f3(sK254(X0,X1,X2),X2)),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK254]),skolemize(X3,sK254(X0,X1,X2))],[f1245]) ).

tff(f1252,plain,
    ( ( f81(f82(f11(f12,0)),f15) = sK256 )
    & ( f78(f79(f80,f24),sK256) != f78(f79(f80,f4),sK256) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK256]),skolemize(X0,sK256)],[f64]) ).

tff(f1263,plain,
    ! [X0: 'S2',X1: 'S2',X2: 'S2'] :
    ? [X3: 'S10',X4: $int] :
      ( ( f18(f19,f13(f14,X2)) = X3 )
      & ( f13(f14,X0) = X4 )
      & ( f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,X1))))),f11(f12,f17(X3,$product(2,X4)))) = f3(f8(f9,f3(f10,X1)),f11(f12,f17(X3,X4))) ) ),
    inference(rectify,[],[f692]) ).

tff(f1264,plain,
    ! [X0: 'S2',X1: 'S2',X2: 'S2'] :
      ( ( f18(f19,f13(f14,X2)) = sK264(X0,X1,X2) )
      & ( f13(f14,X0) = sK265(X0,X1,X2) )
      & ( f3(f8(f9,f3(f10,X1)),f11(f12,f17(sK264(X0,X1,X2),sK265(X0,X1,X2)))) = f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,X1))))),f11(f12,f17(sK264(X0,X1,X2),$product(2,sK265(X0,X1,X2))))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK264,sK265]),skolemize(X3,sK264(X0,X1,X2)),skolemize(X4,sK265(X0,X1,X2))],[f1263]) ).

tff(f1475,plain,
    ! [X0: 'S2'] : ( f3(f24,X0) = f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X0)),f3(f20,f11(f12,$sum($product(2,f13(f14,X0)),1))))) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f1755,plain,
    ! [X2: 'S4',X0: 'S4',X1: 'S4'] : ( f5(sK169(X0,X1,X2),f5(f6(f7,X1),X2)) = f5(f6(f7,f5(sK169(X0,X1,X2),X1)),X2) ),
    inference(cnf_transformation,[],[f1106]) ).

tff(f1756,plain,
    ! [X2: 'S4',X0: 'S4',X1: 'S4'] : ( f6(f7,X0) = sK169(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1106]) ).

tff(f1769,plain,
    ! [X2: 'S3',X3: 'S34',X0: 'S34',X1: 'S3'] :
      ( ( f78(f79(f80,X2),X0) = f78(f79(f80,X1),X3) )
      | ( f3(X2,sK173(X0,X1,X2)) != f3(X1,sK173(X0,X1,X2)) )
      | ( X0 != X3 ) ),
    inference(cnf_transformation,[],[f1115]) ).

tff(f1895,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    inference(cnf_transformation,[],[f505]) ).

tff(f1949,plain,
    ! [X0: 'S2'] : ( $product(2,f13(f14,X0)) = sK252(X0) ),
    inference(cnf_transformation,[],[f1243]) ).

tff(f1950,plain,
    ! [X0: 'S2'] : ( f3(f4,X0) = f5(f6(f7,f5(f6(f7,f3(sK253(X0),f16)),f3(sK253(X0),f11(f12,f17(f18(f19,f13(f14,f16)),sK252(X0)))))),f3(f20,f11(f12,$sum(sK252(X0),1)))) ),
    inference(cnf_transformation,[],[f1243]) ).

tff(f1951,plain,
    ! [X0: 'S2'] : ( f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))) = sK253(X0) ),
    inference(cnf_transformation,[],[f1243]) ).

tff(f1953,plain,
    ! [X2: 'S2',X0: 'S2',X1: 'S4'] : ( f3(sK254(X0,X1,X2),f11(f12,f17(f18(f19,f13(f14,X2)),f13(f14,X0)))) = f3(f8(f9,f3(sK254(X0,X1,X2),X2)),X0) ),
    inference(cnf_transformation,[],[f1246]) ).

tff(f1954,plain,
    ! [X2: 'S2',X0: 'S2',X1: 'S4'] : ( f8(f9,X1) = sK254(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1246]) ).

tff(f1962,plain,
    f78(f79(f80,f24),sK256) != f78(f79(f80,f4),sK256),
    inference(cnf_transformation,[],[f1252]) ).

tff(f1963,plain,
    f81(f82(f11(f12,0)),f15) = sK256,
    inference(cnf_transformation,[],[f1252]) ).

tff(f1979,plain,
    ! [X2: 'S2',X0: 'S2',X1: 'S2'] : ( f3(f8(f9,f3(f10,X1)),f11(f12,f17(sK264(X0,X1,X2),sK265(X0,X1,X2)))) = f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,X1))))),f11(f12,f17(sK264(X0,X1,X2),$product(2,sK265(X0,X1,X2))))) ),
    inference(cnf_transformation,[],[f1264]) ).

tff(f1980,plain,
    ! [X2: 'S2',X0: 'S2',X1: 'S2'] : ( f13(f14,X0) = sK265(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1264]) ).

tff(f1981,plain,
    ! [X2: 'S2',X0: 'S2',X1: 'S2'] : ( f18(f19,f13(f14,X2)) = sK264(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1264]) ).

tff(f2273,plain,
    ! [X2: 'S4',X0: 'S4',X1: 'S4'] : ( f5(f6(f7,X0),f5(f6(f7,X1),X2)) = f5(f6(f7,f5(f6(f7,X0),X1)),X2) ),
    inference(definition_unfolding,[],[f1755,f1756,f1756]) ).

tff(f2342,plain,
    ! [X0: 'S2'] : ( f3(f4,X0) = f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f11(f12,f17(f18(f19,f13(f14,f16)),$product(2,f13(f14,X0))))))),f3(f20,f11(f12,$sum($product(2,f13(f14,X0)),1)))) ),
    inference(definition_unfolding,[],[f1950,f1951,f1951,f1949,f1949]) ).

tff(f2343,plain,
    ! [X2: 'S2',X0: 'S2',X1: 'S4'] : ( f3(f8(f9,f3(f8(f9,X1),X2)),X0) = f3(f8(f9,X1),f11(f12,f17(f18(f19,f13(f14,X2)),f13(f14,X0)))) ),
    inference(definition_unfolding,[],[f1953,f1954,f1954]) ).

tff(f2349,plain,
    ! [X2: 'S2',X0: 'S2',X1: 'S2'] : ( f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,X1))))),f11(f12,f17(f18(f19,f13(f14,X2)),$product(2,f13(f14,X0))))) = f3(f8(f9,f3(f10,X1)),f11(f12,f17(f18(f19,f13(f14,X2)),f13(f14,X0)))) ),
    inference(definition_unfolding,[],[f1979,f1981,f1980,f1981,f1980]) ).

tff(f2432,plain,
    ! [X2: 'S3',X3: 'S34',X1: 'S3'] :
      ( ( f3(X2,sK173(X3,X1,X2)) != f3(X1,sK173(X3,X1,X2)) )
      | ( f78(f79(f80,X2),X3) = f78(f79(f80,X1),X3) ) ),
    inference(equality_resolution,[],[f1769]) ).

tff(f2485,plain,
    f3(f24,sK173(sK256,f4,f24)) != f3(f4,sK173(sK256,f4,f24)),
    inference(unit_resulting_resolution,[],[f2432,f1962]) ).

tff(f2533,plain,
    f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f11(f12,f17(f18(f19,f13(f14,f16)),$product(2,f13(f14,sK173(sK256,f4,f24)))))))),f3(f20,f11(f12,$sum($product(2,f13(f14,sK173(sK256,f4,f24))),1)))) != f3(f24,sK173(sK256,f4,f24)),
    inference(forward_demodulation,[],[f2485,f2342]) ).

tff(f2557,plain,
    f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f11(f12,f17(f18(f19,f13(f14,f16)),$product(2,f13(f14,sK173(sK256,f4,f24)))))))),f3(f20,f11(f12,$sum($product(2,f13(f14,sK173(sK256,f4,f24))),1)))) != f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),sK173(sK256,f4,f24))),f3(f20,f11(f12,$sum($product(2,f13(f14,sK173(sK256,f4,f24))),1))))),
    inference(forward_demodulation,[],[f2533,f1475]) ).

tff(f2577,plain,
    f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f11(f12,f17(f18(f19,f13(f14,f16)),$product(2,f13(f14,sK173(sK256,f4,f24)))))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(sK256,f4,f24))))))) != f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),sK173(sK256,f4,f24))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(sK256,f4,f24)))))))),
    inference(forward_demodulation,[],[f2557,f1895]) ).

tff(f2596,plain,
    f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f11(f12,f17(f18(f19,f13(f14,f16)),$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24))))))) != f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),sK173(f81(f82(f11(f12,0)),f15),f4,f24))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))))),
    inference(forward_demodulation,[],[f2577,f1963]) ).

tff(f2608,plain,
    f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f11(f12,f17(f18(f19,f13(f14,f16)),$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24))))))) != f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f10,f15)),f11(f12,f17(f18(f19,f13(f14,f16)),f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))))),
    inference(forward_demodulation,[],[f2596,f2343]) ).

tff(f2620,plain,
    f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f10,f15)),f11(f12,f17(f18(f19,f13(f14,f16)),f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))))) != f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f11(f12,f17(f18(f19,f13(f14,f16)),$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24))))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))))),
    inference(forward_demodulation,[],[f2608,f2273]) ).

tff(f2624,plain,
    f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f10,f15)),f11(f12,f17(f18(f19,f13(f14,f16)),f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))))) != f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f10,f15)),f11(f12,f17(f18(f19,f13(f14,f16)),f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,sK173(f81(f82(f11(f12,0)),f15),f4,f24)))))))),
    inference(forward_demodulation,[],[f2620,f2349]) ).

tff(f2625,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2624]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW829_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18  % Computer : n010.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Mon Sep 28 14:31:17 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22  Running first-order theorem proving
% 0.10/0.22  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
% 2.85/0.94  % (1966425)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.85/0.94  % (1966525)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=163941134:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.85/0.94  % (1966522)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1467637501:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.85/0.94  % (1966521)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1672406487:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.85/0.94  % (1966524)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1746609691:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.85/0.94  % (1966527)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3662210417:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.85/0.94  % (1966518)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2056362981:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.85/0.94  % (1966520)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=174334440:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.85/0.94  % (1966524)Instruction limit reached! 
% 2.85/0.94  % (1966524)------------------------------
% 2.85/0.94  % (1966524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/0.94  % (1966524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.94  % (1966524)CaDiCaL version: 2.1.3
% 2.85/0.94  % (1966524)Termination reason: Instruction limit
% 2.85/0.94  % (1966524)Termination phase: Property scanning
% 2.85/0.94  % (1966524)Time elapsed: 0.003 s
% 2.85/0.94  % (1966524)Peak memory usage: 86 MB
% 2.85/0.94  % (1966524)Instructions burned: 5 (million)
% 2.85/0.94  % (1966522)Instruction limit reached! 
% 2.85/0.94  % (1966522)------------------------------
% 2.85/0.94  % (1966522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/0.94  % (1966522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.94  % (1966522)CaDiCaL version: 2.1.3
% 2.85/0.94  % (1966522)Termination reason: Instruction limit
% 2.85/0.94  % (1966522)Termination phase: Property scanning
% 2.85/0.94  % (1966522)Time elapsed: 0.004 s
% 2.85/0.94  % (1966522)Peak memory usage: 86 MB
% 2.85/0.94  % (1966522)Instructions burned: 8 (million)
% 2.85/0.94  % (1966518)Instruction limit reached! 
% 2.85/0.94  % (1966518)------------------------------
% 2.85/0.94  % (1966518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/0.94  % (1966518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.94  % (1966518)CaDiCaL version: 2.1.3
% 2.85/0.94  % (1966518)Termination reason: Instruction limit
% 2.85/0.94  % (1966518)Termination phase: Property scanning
% 2.85/0.94  % (1966518)Time elapsed: 0.006 s
% 2.85/0.94  % (1966518)Peak memory usage: 85 MB
% 2.85/0.94  % (1966518)Instructions burned: 15 (million)
% 2.85/0.94  % (1966525)Instruction limit reached! 
% 2.85/0.94  % (1966525)------------------------------
% 2.85/0.94  % (1966525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/0.94  % (1966525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.94  % (1966525)CaDiCaL version: 2.1.3
% 2.85/0.94  % (1966525)Termination reason: Instruction limit
% 2.85/0.94  % (1966525)Termination phase: Function definition elimination
% 2.85/0.94  % (1966525)Time elapsed: 0.013 s
% 2.85/0.94  % (1966525)Peak memory usage: 87 MB
% 2.85/0.94  % (1966525)Instructions burned: 47 (million)
% 2.85/0.94  % (1966527)Instruction limit reached! 
% 2.85/0.94  % (1966527)------------------------------
% 2.85/0.94  % (1966527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/0.94  % (1966527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.94  % (1966527)CaDiCaL version: 2.1.3
% 2.85/0.94  % (1966527)Termination reason: Instruction limit
% 2.85/0.94  % (1966527)Termination phase: Preprocessing 3
% 2.85/0.94  % (1966527)Time elapsed: 0.018 s
% 2.85/0.94  % (1966527)Peak memory usage: 87 MB
% 2.85/0.94  % (1966527)Instructions burned: 34 (million)
% 2.85/0.94  % (1966589)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1744394432:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.85/0.94  % (1966589)Instruction limit reached! 
% 4.16/1.08  % (1966589)------------------------------
% 4.16/1.08  % (1966589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.08  % (1966589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.08  % (1966589)CaDiCaL version: 2.1.3
% 4.16/1.08  % (1966589)Termination reason: Instruction limit
% 4.16/1.08  % (1966589)Termination phase: Naming
% 4.16/1.08  % (1966589)Time elapsed: 0.005 s
% 4.16/1.08  % (1966589)Peak memory usage: 86 MB
% 4.16/1.08  % (1966589)Instructions burned: 18 (million)
% 4.16/1.08  % (1966587)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1737491511:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.16/1.08  % (1966588)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=963370314:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.16/1.08  % (1966521)Instruction limit reached! 
% 4.16/1.08  % (1966521)------------------------------
% 4.16/1.08  % (1966521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.08  % (1966521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.08  % (1966521)CaDiCaL version: 2.1.3
% 4.16/1.08  % (1966521)Termination reason: Instruction limit
% 4.16/1.08  % (1966521)Termination phase: Saturation
% 4.16/1.08  % (1966521)Time elapsed: 0.138 s
% 4.16/1.08  % (1966521)Peak memory usage: 118 MB
% 4.16/1.08  % (1966521)Instructions burned: 201 (million)
% 4.16/1.08  % (1966587)Instruction limit reached! 
% 4.16/1.08  % (1966587)------------------------------
% 4.16/1.08  % (1966587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.08  % (1966587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.08  % (1966587)CaDiCaL version: 2.1.3
% 4.16/1.08  % (1966587)Termination reason: Instruction limit
% 4.16/1.08  % (1966587)Termination phase: SInE selection
% 4.16/1.08  % (1966587)Time elapsed: 0.008 s
% 4.16/1.08  % (1966587)Peak memory usage: 85 MB
% 4.16/1.08  % (1966587)Instructions burned: 15 (million)
% 4.16/1.08  % (1966588)Instruction limit reached! 
% 4.16/1.08  % (1966588)------------------------------
% 4.16/1.08  % (1966588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.08  % (1966588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.08  % (1966588)CaDiCaL version: 2.1.3
% 4.16/1.08  % (1966588)Termination reason: Instruction limit
% 4.16/1.08  % (1966588)Termination phase: Preprocessing 3
% 4.16/1.08  % (1966588)Time elapsed: 0.015 s
% 4.16/1.08  % (1966588)Peak memory usage: 87 MB
% 4.16/1.08  % (1966588)Instructions burned: 30 (million)
% 4.16/1.08  % (1966590)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3398234711:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.16/1.08  % (1966591)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=942267300:i=27:canc=cautious:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/27Mi)
% 4.16/1.08  % (1966590)Instruction limit reached! 
% 4.16/1.08  % (1966590)------------------------------
% 4.16/1.08  % (1966590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.08  % (1966590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.08  % (1966590)CaDiCaL version: 2.1.3
% 4.16/1.08  % (1966590)Termination reason: Instruction limit
% 4.16/1.08  % (1966590)Termination phase: Preprocessing 1
% 4.16/1.08  % (1966590)Time elapsed: 0.012 s
% 4.16/1.08  % (1966590)Peak memory usage: 86 MB
% 4.16/1.08  % (1966590)Instructions burned: 25 (million)
% 4.16/1.08  % (1966591)Instruction limit reached! 
% 4.16/1.08  % (1966591)------------------------------
% 4.16/1.08  % (1966591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.08  % (1966591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.08  % (1966591)CaDiCaL version: 2.1.3
% 4.16/1.08  % (1966591)Termination reason: Instruction limit
% 4.16/1.08  % (1966591)Termination phase: Naming
% 4.16/1.08  % (1966591)Time elapsed: 0.014 s
% 4.16/1.08  % (1966591)Peak memory usage: 86 MB
% 4.16/1.08  % (1966591)Instructions burned: 28 (million)
% 4.16/1.08  % (1966520)Instruction limit reached! 
% 4.16/1.08  % (1966520)------------------------------
% 4.16/1.08  % (1966520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.08  % (1966520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26  % (1966520)CaDiCaL version: 2.1.3
% 4.98/1.26  % (1966520)Termination reason: Instruction limit
% 4.98/1.26  % (1966520)Termination phase: Saturation
% 4.98/1.26  % (1966520)Time elapsed: 0.195 s
% 4.98/1.26  % (1966520)Peak memory usage: 119 MB
% 4.98/1.26  % (1966520)Instructions burned: 307 (million)
% 4.98/1.26  % (1966593)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=21610855:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.98/1.26  % (1966593)Instruction limit reached! 
% 4.98/1.26  % (1966593)------------------------------
% 4.98/1.26  % (1966593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.26  % (1966593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26  % (1966593)CaDiCaL version: 2.1.3
% 4.98/1.26  % (1966593)Termination reason: Instruction limit
% 4.98/1.26  % (1966593)Termination phase: Property scanning
% 4.98/1.26  % (1966593)Time elapsed: 0.022 s
% 4.98/1.26  % (1966593)Peak memory usage: 88 MB
% 4.98/1.26  % (1966593)Instructions burned: 86 (million)
% 4.98/1.26  % (1966597)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1154948380:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.98/1.26  % (1966596)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1133368244:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.98/1.26  % (1966596)Instruction limit reached! 
% 4.98/1.26  % (1966596)------------------------------
% 4.98/1.26  % (1966596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.26  % (1966596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26  % (1966596)CaDiCaL version: 2.1.3
% 4.98/1.26  % (1966596)Termination reason: Instruction limit
% 4.98/1.26  % (1966596)Termination phase: shuffling
% 4.98/1.26  % (1966596)Time elapsed: 0.002 s
% 4.98/1.26  % (1966596)Peak memory usage: 85 MB
% 4.98/1.26  % (1966596)Instructions burned: 2 (million)
% 4.98/1.26  % (1966600)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3890084988:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.98/1.26  % (1966600)Instruction limit reached! 
% 4.98/1.26  % (1966600)------------------------------
% 4.98/1.26  % (1966600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.26  % (1966600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26  % (1966600)CaDiCaL version: 2.1.3
% 4.98/1.26  % (1966600)Termination reason: Instruction limit
% 4.98/1.26  % (1966600)Termination phase: Property scanning
% 4.98/1.26  % (1966600)Time elapsed: 0.003 s
% 4.98/1.26  % (1966600)Peak memory usage: 86 MB
% 4.98/1.26  % (1966600)Instructions burned: 4 (million)
% 4.98/1.26  % (1966597)Refutation not found, incomplete strategy
% 4.98/1.26  % (1966597)------------------------------
% 4.98/1.26  % (1966597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.26  % (1966597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26  % (1966597)CaDiCaL version: 2.1.3
% 4.98/1.26  % (1966597)Termination reason: Refutation not found, incomplete strategy
% 4.98/1.26  % (1966597)Time elapsed: 0.009 s
% 4.98/1.26  % (1966597)Peak memory usage: 88 MB
% 4.98/1.26  % (1966597)Instructions burned: 16 (million)
% 4.98/1.26  % (1966601)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=167462507:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.98/1.26  % (1966602)lrs+10_1_thi=all:si=on:fd=off:random_seed=3230226713:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.98/1.26  % (1966602)Instruction limit reached! 
% 4.98/1.26  % (1966602)------------------------------
% 4.98/1.26  % (1966602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.26  % (1966602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.26  % (1966602)CaDiCaL version: 2.1.3
% 4.98/1.26  % (1966602)Termination reason: Instruction limit
% 4.98/1.26  % (1966602)Termination phase: Preprocessing 3
% 4.98/1.26  % (1966602)Time elapsed: 0.026 s
% 4.98/1.26  % (1966602)Peak memory usage: 87 MB
% 4.98/1.26  % (1966602)Instructions burned: 54 (million)
% 4.98/1.26  % (1966601)Instruction limit reached! 
% 4.98/1.26  % (1966601)------------------------------
% 4.98/1.26  % (1966601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.26  % (1966601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.45  % (1966601)CaDiCaL version: 2.1.3
% 5.85/1.45  % (1966601)Termination reason: Instruction limit
% 5.85/1.45  % (1966601)Termination phase: Property scanning
% 5.85/1.45  % (1966601)Time elapsed: 0.034 s
% 5.85/1.45  % (1966601)Peak memory usage: 88 MB
% 5.85/1.45  % (1966601)Instructions burned: 67 (million)
% 5.85/1.45  % (1966605)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1120275797:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.85/1.45  % (1966605)Instruction limit reached! 
% 5.85/1.45  % (1966605)------------------------------
% 5.85/1.45  % (1966605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.45  % (1966605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.45  % (1966605)CaDiCaL version: 2.1.3
% 5.85/1.45  % (1966605)Termination reason: Instruction limit
% 5.85/1.45  % (1966605)Termination phase: Property scanning
% 5.85/1.45  % (1966605)Time elapsed: 0.002 s
% 5.85/1.45  % (1966605)Peak memory usage: 86 MB
% 5.85/1.45  % (1966605)Instructions burned: 6 (million)
% 5.85/1.45  % (1966603)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=3002768814:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.85/1.45  % (1966603)Instruction limit reached! 
% 5.85/1.45  % (1966603)------------------------------
% 5.85/1.45  % (1966603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.45  % (1966603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.45  % (1966603)CaDiCaL version: 2.1.3
% 5.85/1.45  % (1966603)Termination reason: Instruction limit
% 5.85/1.45  % (1966603)Termination phase: Property scanning
% 5.85/1.45  % (1966603)Time elapsed: 0.004 s
% 5.85/1.45  % (1966603)Peak memory usage: 85 MB
% 5.85/1.45  % (1966603)Instructions burned: 9 (million)
% 5.85/1.45  % (1966609)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2955993259:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.85/1.45  % (1966609)Instruction limit reached! 
% 5.85/1.45  % (1966609)------------------------------
% 5.85/1.45  % (1966609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.45  % (1966609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.45  % (1966609)CaDiCaL version: 2.1.3
% 5.85/1.45  % (1966609)Termination reason: Instruction limit
% 5.85/1.45  % (1966609)Termination phase: shuffling
% 5.85/1.45  % (1966609)Time elapsed: 0.002 s
% 5.85/1.45  % (1966609)Peak memory usage: 85 MB
% 5.85/1.45  % (1966609)Instructions burned: 2 (million)
% 5.85/1.45  % (1966617)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1293709246: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_2994 on theBenchmark for (2994ds/35Mi)
% 5.85/1.45  % (1966610)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=871285380:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 5.85/1.45  % (1966617)Instruction limit reached! 
% 5.85/1.45  % (1966617)------------------------------
% 5.85/1.45  % (1966617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.45  % (1966617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.45  % (1966617)CaDiCaL version: 2.1.3
% 5.85/1.45  % (1966617)Termination reason: Instruction limit
% 5.85/1.45  % (1966617)Termination phase: Preprocessing 3
% 5.85/1.45  % (1966617)Time elapsed: 0.011 s
% 5.85/1.45  % (1966617)Peak memory usage: 87 MB
% 5.85/1.45  % (1966617)Instructions burned: 37 (million)
% 5.85/1.45  % (1966616)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4282350042:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 5.85/1.45  % (1966613)dis+10_1_si=on:random_seed=2802591183:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 5.85/1.45  % (1966613)Instruction limit reached! 
% 5.85/1.45  % (1966613)------------------------------
% 5.85/1.45  % (1966613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/1.45  % (1966613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/1.45  % (1966613)CaDiCaL version: 2.1.3
% 5.85/1.45  % (1966613)Termination reason: Instruction limit
% 5.85/1.45  % (1966613)Termination phase: Property scanning
% 5.85/1.45  % (1966613)Time elapsed: 0.006 s
% 5.85/1.45  % (1966613)Peak memory usage: 85 MB
% 7.49/1.76  % (1966613)Instructions burned: 12 (million)
% 7.49/1.76  % (1966616)Instruction limit reached! 
% 7.49/1.76  % (1966616)------------------------------
% 7.49/1.76  % (1966616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.76  % (1966616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.76  % (1966616)CaDiCaL version: 2.1.3
% 7.49/1.76  % (1966616)Termination reason: Instruction limit
% 7.49/1.76  % (1966616)Termination phase: Preprocessing 2
% 7.49/1.76  % (1966616)Time elapsed: 0.014 s
% 7.49/1.76  % (1966616)Peak memory usage: 86 MB
% 7.49/1.76  % (1966616)Instructions burned: 27 (million)
% 7.49/1.76  % (1966618)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2289624946:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 7.49/1.76  % (1966618)Instruction limit reached! 
% 7.49/1.76  % (1966618)------------------------------
% 7.49/1.76  % (1966618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.76  % (1966618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.76  % (1966618)CaDiCaL version: 2.1.3
% 7.49/1.76  % (1966618)Termination reason: Instruction limit
% 7.49/1.76  % (1966618)Termination phase: shuffling
% 7.49/1.76  % (1966618)Time elapsed: 0.002 s
% 7.49/1.76  % (1966618)Peak memory usage: 85 MB
% 7.49/1.76  % (1966618)Instructions burned: 2 (million)
% 7.49/1.76  % (1966597)------------------------------
% 7.49/1.76  % (1966597)------------------------------
% 7.49/1.76  % (1966610)Instruction limit reached! 
% 7.49/1.76  % (1966610)------------------------------
% 7.49/1.76  % (1966610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.76  % (1966610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.76  % (1966610)CaDiCaL version: 2.1.3
% 7.49/1.76  % (1966610)Termination reason: Instruction limit
% 7.49/1.76  % (1966610)Termination phase: Saturation
% 7.49/1.76  % (1966610)Time elapsed: 0.092 s
% 7.49/1.76  % (1966610)Peak memory usage: 118 MB
% 7.49/1.76  % (1966610)Instructions burned: 127 (million)
% 7.49/1.76  % (1966623)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=634722322:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 7.49/1.76  % (1966620)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3305903536:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 7.49/1.76  % (1966620)Instruction limit reached! 
% 7.49/1.76  % (1966620)------------------------------
% 7.49/1.76  % (1966620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.76  % (1966620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.76  % (1966620)CaDiCaL version: 2.1.3
% 7.49/1.76  % (1966620)Termination reason: Instruction limit
% 7.49/1.76  % (1966620)Termination phase: Property scanning
% 7.49/1.76  % (1966620)Time elapsed: 0.005 s
% 7.49/1.76  % (1966620)Peak memory usage: 86 MB
% 7.49/1.76  % (1966620)Instructions burned: 10 (million)
% 7.49/1.76  % (1966626)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2969589634:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 7.49/1.76  % (1966626)Instruction limit reached! 
% 7.49/1.76  % (1966626)------------------------------
% 7.49/1.76  % (1966626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.76  % (1966626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.76  % (1966626)CaDiCaL version: 2.1.3
% 7.49/1.76  % (1966626)Termination reason: Instruction limit
% 7.49/1.76  % (1966626)Termination phase: Property scanning
% 7.49/1.76  % (1966626)Time elapsed: 0.006 s
% 7.49/1.76  % (1966626)Peak memory usage: 85 MB
% 7.49/1.76  % (1966626)Instructions burned: 13 (million)
% 7.49/1.76  % (1966627)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2794944993:i=226:rtra=on:gtg=position:ss=axioms_2993 on theBenchmark for (2993ds/226Mi)
% 7.49/1.76  % (1966629)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3986587846:i=10:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 7.49/1.76  % (1966623)Instruction limit reached! 
% 7.49/1.76  % (1966623)------------------------------
% 7.49/1.76  % (1966623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.76  % (1966623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966623)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966623)Termination reason: Instruction limit
% 8.04/1.83  % (1966623)Termination phase: Saturation
% 8.04/1.83  % (1966623)Time elapsed: 0.098 s
% 8.04/1.83  % (1966623)Peak memory usage: 92 MB
% 8.04/1.83  % (1966623)Instructions burned: 371 (million)
% 8.04/1.83  % (1966629)Instruction limit reached! 
% 8.04/1.83  % (1966629)------------------------------
% 8.04/1.83  % (1966629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966629)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966629)Termination reason: Instruction limit
% 8.04/1.83  % (1966629)Termination phase: Property scanning
% 8.04/1.83  % (1966629)Time elapsed: 0.006 s
% 8.04/1.83  % (1966629)Peak memory usage: 86 MB
% 8.04/1.83  % (1966629)Instructions burned: 10 (million)
% 8.04/1.83  % (1966627)Refutation not found, incomplete strategy
% 8.04/1.83  % (1966627)------------------------------
% 8.04/1.83  % (1966627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966627)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966627)Termination reason: Refutation not found, incomplete strategy
% 8.04/1.83  % (1966627)Time elapsed: 0.039 s
% 8.04/1.83  % (1966627)Peak memory usage: 112 MB
% 8.04/1.83  % (1966627)Instructions burned: 30 (million)
% 8.04/1.83  % (1966630)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3722859484:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 8.04/1.83  % (1966631)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=2702349201:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 8.04/1.83  % (1966630)Instruction limit reached! 
% 8.04/1.83  % (1966630)------------------------------
% 8.04/1.83  % (1966630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966630)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966630)Termination reason: Instruction limit
% 8.04/1.83  % (1966630)Termination phase: Function definition elimination
% 8.04/1.83  % (1966630)Time elapsed: 0.036 s
% 8.04/1.83  % (1966630)Peak memory usage: 88 MB
% 8.04/1.83  % (1966630)Instructions burned: 71 (million)
% 8.04/1.83  % (1966631)Instruction limit reached! 
% 8.04/1.83  % (1966631)------------------------------
% 8.04/1.83  % (1966631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966631)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966631)Termination reason: Instruction limit
% 8.04/1.83  % (1966631)Termination phase: Saturation
% 8.04/1.83  % (1966631)Time elapsed: 0.037 s
% 8.04/1.83  % (1966631)Peak memory usage: 88 MB
% 8.04/1.83  % (1966631)Instructions burned: 76 (million)
% 8.04/1.83  % (1966634)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=150378462:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 8.04/1.83  % (1966637)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=665295752:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2992 on theBenchmark for (2992ds/130Mi)
% 8.04/1.83  % (1966639)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=321429690:i=131:rtra=on_2991 on theBenchmark for (2991ds/131Mi)
% 8.04/1.83  % (1966640)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2185461028:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2991 on theBenchmark for (2991ds/40Mi)
% 8.04/1.83  % (1966640)Instruction limit reached! 
% 8.04/1.83  % (1966640)------------------------------
% 8.04/1.83  % (1966640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966640)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966640)Termination reason: Instruction limit
% 8.04/1.83  % (1966640)Termination phase: Property scanning
% 8.04/1.83  % (1966640)Time elapsed: 0.017 s
% 8.04/1.83  % (1966640)Peak memory usage: 86 MB
% 8.04/1.83  % (1966640)Instructions burned: 40 (million)
% 8.04/1.83  % (1966639)Instruction limit reached! 
% 8.04/1.83  % (1966639)------------------------------
% 8.04/1.83  % (1966639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966639)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966639)Termination reason: Instruction limit
% 8.04/1.83  % (1966639)Termination phase: Saturation
% 8.04/1.83  % (1966639)Time elapsed: 0.068 s
% 8.04/1.83  % (1966639)Peak memory usage: 135 MB
% 8.04/1.83  % (1966639)Instructions burned: 133 (million)
% 8.04/1.83  % (1966637)Instruction limit reached! 
% 8.04/1.83  % (1966637)------------------------------
% 8.04/1.83  % (1966637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966637)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966637)Termination reason: Instruction limit
% 8.04/1.83  % (1966637)Termination phase: Saturation
% 8.04/1.83  % (1966637)Time elapsed: 0.088 s
% 8.04/1.83  % (1966637)Peak memory usage: 114 MB
% 8.04/1.83  % (1966637)Instructions burned: 130 (million)
% 8.04/1.83  % (1966644)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3737555849:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/598Mi)
% 8.04/1.83  % (1966643)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1182622153:i=307:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/307Mi)
% 8.04/1.83  % (1966634)Instruction limit reached! 
% 8.04/1.83  % (1966634)------------------------------
% 8.04/1.83  % (1966634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966634)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966634)Termination reason: Instruction limit
% 8.04/1.83  % (1966634)Termination phase: Saturation
% 8.04/1.83  % (1966634)Time elapsed: 0.175 s
% 8.04/1.83  % (1966634)Peak memory usage: 93 MB
% 8.04/1.83  % (1966634)Instructions burned: 294 (million)
% 8.04/1.83  % (1966627)------------------------------
% 8.04/1.83  % (1966627)------------------------------
% 8.04/1.83  % (1966643)First to succeed.
% 8.04/1.83  % (1966643)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1966425"
% 8.04/1.83  % (1966650)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=3893552990:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2989 on theBenchmark for (2989ds/259Mi)
% 8.04/1.83  % (1966649)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1024022969:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 8.04/1.83  % (1966650)Refutation not found, incomplete strategy
% 8.04/1.83  % (1966650)------------------------------
% 8.04/1.83  % (1966650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966650)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966650)Termination reason: Refutation not found, incomplete strategy
% 8.04/1.83  % (1966650)Time elapsed: 0.024 s
% 8.04/1.83  % (1966650)Peak memory usage: 112 MB
% 8.04/1.83  % (1966650)Instructions burned: 32 (million)
% 8.04/1.83  % (1966651)dis+10_1_si=on:random_seed=816436753:s2a=on:i=1000:rtra=on:gtg=exists_all_2989 on theBenchmark for (2989ds/1000Mi)
% 8.04/1.83  % (1966654)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=2157667790:i=383:fsr=off:rtra=on:ev=force_2989 on theBenchmark for (2989ds/383Mi)
% 8.04/1.83  % (1966655)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=1204037573:i=141:doe=on:rtra=on_2989 on theBenchmark for (2989ds/141Mi)
% 8.04/1.83  % (1966649)Instruction limit reached! 
% 8.04/1.83  % (1966649)------------------------------
% 8.04/1.83  % (1966649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966649)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966649)Termination reason: Instruction limit
% 8.04/1.83  % (1966649)Termination phase: Saturation
% 8.04/1.83  % (1966649)Time elapsed: 0.094 s
% 8.04/1.83  % (1966649)Peak memory usage: 118 MB
% 8.04/1.83  % (1966649)Instructions burned: 132 (million)
% 8.04/1.83  % (1966650)------------------------------
% 8.04/1.83  % (1966650)------------------------------
% 8.04/1.83  % (1966655)Instruction limit reached! 
% 8.04/1.83  % (1966655)------------------------------
% 8.04/1.83  % (1966655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/1.83  % (1966655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.83  % (1966655)CaDiCaL version: 2.1.3
% 8.04/1.83  % (1966655)Termination reason: Instruction limit
% 8.04/1.83  % (1966655)Termination phase: Saturation
% 8.04/1.83  % (1966655)Time elapsed: 0.078 s
% 8.04/1.83  % (1966655)Peak memory usage: 91 MB
% 8.04/1.83  % (1966655)Instructions burned: 142 (million)
% 8.04/1.83  % (1966643)Refutation found. Thanks to Tanya!
% 8.04/1.83  % SZS status Unsatisfiable for theBenchmark
% 8.04/1.83  % SZS output start Proof for theBenchmark
% See solution above
% 10.02/2.01  % (1966643)------------------------------
% 10.02/2.01  % (1966643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.02/2.01  % (1966643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.01  % (1966643)CaDiCaL version: 2.1.3
% 10.02/2.01  % (1966643)Termination reason: Refutation
% 10.02/2.01  % (1966643)Time elapsed: 0.086 s
% 10.02/2.01  % (1966643)Peak memory usage: 92 MB
% 10.02/2.01  % (1966643)Instructions burned: 158 (million)
% 10.02/2.01  % (1966643)------------------------------
% 10.02/2.01  % (1966643)------------------------------
% 10.02/2.01  % (1966425)Success in time 1.393 s
% 10.02/2.01  % Vampire exiting
%------------------------------------------------------------------------------