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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW824_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 : n005.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 01:37:53 PM UTC 2026

% Result   : Unsatisfiable 3.36s 1.22s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   6 unt;   0 typ;   4 def)
%            Number of atoms       :   33 (  16 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   21 (   3   ~;   6   |;   6   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :   48 (   8 atm;  11 fun;  27 num;   2 var)
%            Number of types       :   23 (  21 usr;   2 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :  306 ( 301 usr;  37 con; 0-4 aty)
%            Number of variables   :    2 (   0   !;   2   ?;   2   :)

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

tff(type_def_6,type,
    'S8': $tType ).

tff(type_def_7,type,
    'S9': $tType ).

tff(type_def_8,type,
    'S10': $tType ).

tff(type_def_9,type,
    'S12': $tType ).

tff(type_def_10,type,
    'S4': $tType ).

tff(type_def_11,type,
    'S6': $tType ).

tff(type_def_12,type,
    'S20': $tType ).

tff(type_def_13,type,
    'S5': $tType ).

tff(type_def_14,type,
    'S1': $tType ).

tff(type_def_15,type,
    'S3': $tType ).

tff(type_def_16,type,
    'S19': $tType ).

tff(type_def_17,type,
    'S13': $tType ).

tff(type_def_18,type,
    'S14': $tType ).

tff(type_def_19,type,
    'S16': $tType ).

tff(type_def_20,type,
    'S7': $tType ).

tff(type_def_21,type,
    'S17': $tType ).

tff(type_def_22,type,
    'S18': $tType ).

tff(type_def_23,type,
    'S15': $tType ).

tff(type_def_24,type,
    'S11': $tType ).

tff(type_def_25,type,
    'S21': $tType ).

tff(func_def_0,type,
    f28: ( 'S14' * $int ) > 'S13' ).

tff(func_def_1,type,
    f31: 'S2' ).

tff(func_def_2,type,
    f12: 'S6' ).

tff(func_def_3,type,
    f17: ( 'S10' * $real ) > 'S9' ).

tff(func_def_4,type,
    f20: 'S3' ).

tff(func_def_5,type,
    f33: 'S15' ).

tff(func_def_6,type,
    f4: 'S2' ).

tff(func_def_7,type,
    f25: 'S12' ).

tff(func_def_8,type,
    f29: 'S14' ).

tff(func_def_9,type,
    f23: ( 'S12' * 'S9' ) > 'S11' ).

tff(func_def_10,type,
    f24: 'S12' ).

tff(func_def_11,type,
    f35: 'S16' ).

tff(func_def_12,type,
    f6: 'S3' ).

tff(func_def_13,type,
    f30: 'S13' ).

tff(func_def_14,type,
    f39: 'S18' ).

tff(func_def_15,type,
    f15: ( 'S8' * 'S5' ) > 'S9' ).

tff(func_def_16,type,
    f3: ( 'S2' * $real ) > $real ).

tff(func_def_17,type,
    f42: ( 'S20' * $real ) > 'S10' ).

tff(func_def_18,type,
    f34: ( 'S16' * $int ) > 'S6' ).

tff(func_def_19,type,
    f14: 'S7' ).

tff(func_def_20,type,
    f41: 'S19' ).

tff(func_def_21,type,
    f11: ( 'S6' * 'S5' ) > $int ).

tff(func_def_22,type,
    f18: 'S10' ).

tff(func_def_23,type,
    f1: 'S1' ).

tff(func_def_24,type,
    f32: ( 'S15' * $real ) > 'S4' ).

tff(func_def_25,type,
    f19: 'S2' ).

tff(func_def_26,type,
    f16: 'S8' ).

tff(func_def_27,type,
    f27: ( 'S13' * $int ) > $int ).

tff(func_def_28,type,
    f9: 'S4' ).

tff(func_def_29,type,
    f13: ( 'S7' * $int ) > 'S5' ).

tff(func_def_30,type,
    f38: 'S18' ).

tff(func_def_31,type,
    f36: ( 'S17' * 'S5' ) > 'S5' ).

tff(func_def_32,type,
    f7: $real ).

tff(func_def_33,type,
    f10: 'S5' ).

tff(func_def_34,type,
    f43: 'S20' ).

tff(func_def_35,type,
    f40: ( 'S19' * 'S9' ) > 'S8' ).

tff(func_def_36,type,
    f21: 'S2' ).

tff(func_def_37,type,
    f8: ( 'S4' * 'S5' ) > $real ).

tff(func_def_38,type,
    f2: 'S1' ).

tff(func_def_39,type,
    f46: 'S21' ).

tff(func_def_40,type,
    f37: ( 'S18' * 'S5' ) > 'S17' ).

tff(func_def_41,type,
    f5: ( 'S3' * $real ) > 'S2' ).

tff(func_def_42,type,
    f22: ( 'S11' * 'S9' ) > 'S9' ).

tff(func_def_43,type,
    f44: ( 'S21' * 'S9' ) > $real ).

tff(func_def_44,type,
    f45: 'S21' ).

tff(func_def_45,type,
    f26: 'S5' > 'S1' ).

tff(func_def_65,type,
    sK0: ( 'S5' * $real ) > $real ).

tff(func_def_66,type,
    sK1: ( $real * $real ) > 'S5' ).

tff(func_def_67,type,
    sK2: ( $real * $real ) > $real ).

tff(func_def_68,type,
    sK3: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_69,type,
    sK4: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_70,type,
    sK5: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_71,type,
    sK6: $real > $real ).

tff(func_def_72,type,
    sK7: ( 'S5' * $int ) > $int ).

tff(func_def_73,type,
    sK8: ( 'S5' * $int ) > 'S6' ).

tff(func_def_74,type,
    sK9: ( 'S5' * $int ) > 'S6' ).

tff(func_def_75,type,
    sK10: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_76,type,
    sK11: $real > $real ).

tff(func_def_77,type,
    sK12: ( 'S5' * 'S5' * $int ) > 'S6' ).

tff(func_def_78,type,
    sK13: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_79,type,
    sK14: $real > $real ).

tff(func_def_80,type,
    sK15: $real > $real ).

tff(func_def_81,type,
    sK16: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_82,type,
    sK17: ( 'S5' * 'S5' ) > 'S5' ).

tff(func_def_83,type,
    sK18: $real > 'S5' ).

tff(func_def_84,type,
    sK19: $real > 'S5' ).

tff(func_def_85,type,
    sK20: $real > $real ).

tff(func_def_86,type,
    sK21: ( 'S5' * 'S9' ) > 'S8' ).

tff(func_def_87,type,
    sK22: $real > $real ).

tff(func_def_88,type,
    sK23: ( 'S5' * 'S5' * $real ) > 'S4' ).

tff(func_def_89,type,
    sK24: ( 'S9' * 'S5' ) > 'S8' ).

tff(func_def_90,type,
    sK25: ( 'S9' * 'S5' ) > $int ).

tff(func_def_91,type,
    sK26: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_92,type,
    sK27: ( 'S5' * 'S5' ) > 'S5' ).

tff(func_def_93,type,
    sK28: ( $real * $real ) > $real ).

tff(func_def_94,type,
    sK29: ( $real * $real * $real ) > 'S2' ).

tff(func_def_95,type,
    sK30: ( 'S5' * 'S5' * 'S9' ) > $int ).

tff(func_def_96,type,
    sK31: ( 'S5' * 'S5' * 'S9' ) > $int ).

tff(func_def_97,type,
    sK32: ( 'S5' * 'S5' * 'S9' ) > 'S8' ).

tff(func_def_98,type,
    sK33: ( $real * $real * $real ) > 'S2' ).

tff(func_def_99,type,
    sK34: ( $real * $real ) > $real ).

tff(func_def_100,type,
    sK35: $int > $int ).

tff(func_def_101,type,
    sK36: ( $real * 'S5' * 'S5' ) > 'S4' ).

tff(func_def_102,type,
    sK37: ( $int * 'S5' ) > $int ).

tff(func_def_103,type,
    sK38: ( 'S5' * 'S5' * 'S5' ) > $int ).

tff(func_def_104,type,
    sK39: ( 'S5' * 'S5' * 'S5' ) > $int ).

tff(func_def_105,type,
    sK40: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_106,type,
    sK41: $real ).

tff(func_def_107,type,
    sK42: $real > $real ).

tff(func_def_108,type,
    sK43: $real > $real ).

tff(func_def_109,type,
    sK44: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_110,type,
    sK45: $real > $real ).

tff(func_def_111,type,
    sK46: ( $real * $real ) > 'S5' ).

tff(func_def_112,type,
    sK47: ( 'S5' * 'S9' ) > 'S8' ).

tff(func_def_113,type,
    sK48: ( 'S5' * 'S9' ) > 'S9' ).

tff(func_def_114,type,
    sK49: ( 'S5' * $int ) > 'S6' ).

tff(func_def_115,type,
    sK50: ( 'S5' * $int ) > $int ).

tff(func_def_116,type,
    sK51: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_117,type,
    sK52: $int > $int ).

tff(func_def_118,type,
    sK53: ( 'S5' * 'S5' * 'S9' ) > 'S8' ).

tff(func_def_119,type,
    sK54: $real > $real ).

tff(func_def_120,type,
    sK55: $real > $real ).

tff(func_def_121,type,
    sK56: ( $real * 'S5' ) > $real ).

tff(func_def_122,type,
    sK57: $real > $real ).

tff(func_def_123,type,
    sK58: $real > $real ).

tff(func_def_124,type,
    sK59: ( 'S9' * 'S5' ) > 'S8' ).

tff(func_def_125,type,
    sK60: ( $real * $real * $real * $real ) > 'S2' ).

tff(func_def_126,type,
    sK61: ( $real * $real * $real * $real ) > 'S2' ).

tff(func_def_127,type,
    sK62: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_128,type,
    sK63: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_129,type,
    sK64: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S9' ).

tff(func_def_130,type,
    sK65: ( 'S5' * 'S9' ) > 'S8' ).

tff(func_def_131,type,
    sK66: ( 'S5' * 'S9' ) > 'S9' ).

tff(func_def_132,type,
    sK67: $real > 'S5' ).

tff(func_def_133,type,
    sK68: 'S5' > 'S5' ).

tff(func_def_134,type,
    sK69: $real > $real ).

tff(func_def_135,type,
    sK70: ( $real * $real ) > $real ).

tff(func_def_136,type,
    sK71: 'S5' > 'S5' ).

tff(func_def_137,type,
    sK72: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S5' ).

tff(func_def_138,type,
    sK73: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_139,type,
    sK74: ( $real * $real ) > 'S2' ).

tff(func_def_140,type,
    sK75: ( $real * $real ) > 'S5' ).

tff(func_def_141,type,
    sK76: ( 'S5' * $real ) > 'S4' ).

tff(func_def_142,type,
    sK77: ( 'S5' * $real ) > $int ).

tff(func_def_143,type,
    sK78: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_144,type,
    sK79: ( 'S5' * $real ) > 'S4' ).

tff(func_def_145,type,
    sK80: ( 'S5' * 'S5' * 'S9' ) > 'S8' ).

tff(func_def_146,type,
    sK81: ( $real * $real ) > $real ).

tff(func_def_147,type,
    sK82: ( $real * $real ) > $real ).

tff(func_def_148,type,
    sK83: ( $real * $real ) > 'S2' ).

tff(func_def_149,type,
    sK84: 'S5' > 'S5' ).

tff(func_def_150,type,
    sK85: $real > $real ).

tff(func_def_151,type,
    sK86: ( $int * 'S5' * 'S5' ) > $int ).

tff(func_def_152,type,
    sK87: ( $int * 'S5' * 'S5' ) > $int ).

tff(func_def_153,type,
    sK88: ( $int * 'S5' * 'S5' ) > 'S6' ).

tff(func_def_154,type,
    sK89: ( 'S5' * 'S9' ) > 'S8' ).

tff(func_def_155,type,
    sK90: $real > $real ).

tff(func_def_156,type,
    sK91: ( $real * $real ) > 'S2' ).

tff(func_def_157,type,
    sK92: ( $real * $real ) > $real ).

tff(func_def_158,type,
    sK93: ( $real * $real ) > $real ).

tff(func_def_159,type,
    sK94: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_160,type,
    sK95: ( $real * 'S5' ) > 'S4' ).

tff(func_def_161,type,
    sK96: ( 'S9' * 'S5' ) > 'S9' ).

tff(func_def_162,type,
    sK97: ( $real * $real ) > $real ).

tff(func_def_163,type,
    sK98: $real ).

tff(func_def_164,type,
    sK99: ( 'S5' * 'S5' * 'S9' ) > 'S8' ).

tff(func_def_165,type,
    sK100: $real > $real ).

tff(func_def_166,type,
    sK101: $real > 'S5' ).

tff(func_def_167,type,
    sK102: $real > $real ).

tff(func_def_168,type,
    sK103: $real > $real ).

tff(func_def_169,type,
    sK104: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_170,type,
    sK105: ( $real * 'S5' ) > 'S4' ).

tff(func_def_171,type,
    sK106: ( $real * 'S5' ) > $real ).

tff(func_def_172,type,
    sK107: ( 'S5' * 'S5' * $int ) > 'S6' ).

tff(func_def_173,type,
    sK108: $real > $real ).

tff(func_def_174,type,
    sK109: $real > $real ).

tff(func_def_175,type,
    sK110: $real > 'S5' ).

tff(func_def_176,type,
    sK111: ( 'S9' * 'S5' ) > 'S8' ).

tff(func_def_177,type,
    sK112: ( $int * 'S5' ) > 'S6' ).

tff(func_def_178,type,
    sK113: ( $int * 'S5' ) > $int ).

tff(func_def_179,type,
    sK114: ( $real * 'S5' ) > 'S4' ).

tff(func_def_180,type,
    sK115: $real > $real ).

tff(func_def_181,type,
    sK116: ( $int * $int * $int ) > 'S13' ).

tff(func_def_182,type,
    sK117: ( $int * $int * $int ) > 'S13' ).

tff(func_def_183,type,
    sK118: ( 'S5' * $int ) > 'S6' ).

tff(func_def_184,type,
    sK119: ( $int * 'S5' ) > 'S6' ).

tff(func_def_185,type,
    sK120: 'S5' > 'S5' ).

tff(func_def_186,type,
    sK121: $real > 'S5' ).

tff(func_def_187,type,
    sK122: ( 'S5' * 'S5' ) > $int ).

tff(func_def_188,type,
    sK123: ( 'S5' * 'S5' ) > $int ).

tff(func_def_189,type,
    sK124: ( $int * 'S5' ) > 'S6' ).

tff(func_def_190,type,
    sK125: ( $real * $real * $real ) > $real ).

tff(func_def_191,type,
    sK126: ( $real * $real * $real ) > 'S2' ).

tff(func_def_192,type,
    sK127: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_193,type,
    sK128: $real > $real ).

tff(func_def_194,type,
    sK129: $real > 'S5' ).

tff(func_def_195,type,
    sK130: ( 'S5' * 'S5' * $real ) > 'S4' ).

tff(func_def_196,type,
    sK131: ( $real * $real * $real * $real ) > 'S2' ).

tff(func_def_197,type,
    sK132: ( $real * $real * $real * $real ) > $real ).

tff(func_def_198,type,
    sK133: $int > 'S5' ).

tff(func_def_199,type,
    sK134: $real > 'S5' ).

tff(func_def_200,type,
    sK135: $real > $real ).

tff(func_def_201,type,
    sK136: $real ).

tff(func_def_202,type,
    sK137: 'S5' > $int ).

tff(func_def_203,type,
    sK138: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_204,type,
    sK139: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_205,type,
    sK140: $real > $real ).

tff(func_def_206,type,
    sK141: $real > $real ).

tff(func_def_207,type,
    sK142: 'S5' > $int ).

tff(func_def_208,type,
    sK143: $real > $real ).

tff(func_def_209,type,
    sK144: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_210,type,
    sK145: ( $real * $real * $real ) > 'S2' ).

tff(func_def_211,type,
    sK146: ( $real * $real * $real ) > 'S2' ).

tff(func_def_212,type,
    sK147: ( $int * 'S5' * 'S5' ) > 'S6' ).

tff(func_def_213,type,
    sK148: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_214,type,
    sK149: $real ).

tff(func_def_215,type,
    sK150: ( $int * $int * $int ) > 'S13' ).

tff(func_def_216,type,
    sK151: $real ).

tff(func_def_217,type,
    sK152: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_218,type,
    sK153: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_219,type,
    sK154: ( 'S5' * 'S5' ) > 'S5' ).

tff(func_def_220,type,
    sK155: ( 'S5' * 'S5' * $real ) > 'S4' ).

tff(func_def_221,type,
    sK156: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_222,type,
    sK157: $real > 'S5' ).

tff(func_def_223,type,
    sK158: $real > $real ).

tff(func_def_224,type,
    sK159: ( $real * 'S5' ) > 'S4' ).

tff(func_def_225,type,
    sK160: 'S5' > $real ).

tff(func_def_226,type,
    sK161: ( $real * $real * $real ) > 'S2' ).

tff(func_def_227,type,
    sK162: ( $real * $real * $real ) > 'S2' ).

tff(func_def_228,type,
    sK163: ( 'S9' * 'S5' ) > 'S8' ).

tff(func_def_229,type,
    sK164: ( 'S5' * 'S9' * 'S5' ) > 'S8' ).

tff(func_def_230,type,
    sK165: ( $real * $real * $real ) > 'S2' ).

tff(func_def_231,type,
    sK166: ( $int * $int * $int ) > 'S13' ).

tff(func_def_232,type,
    sK167: ( $int * $int * $int * $int ) > $int ).

tff(func_def_233,type,
    sK168: ( $int * $int * $int * $int ) > 'S13' ).

tff(func_def_234,type,
    sK169: 'S5' > 'S5' ).

tff(func_def_235,type,
    sK170: ( 'S5' * $int ) > 'S6' ).

tff(func_def_236,type,
    sK171: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_237,type,
    sK172: $real > $real ).

tff(func_def_238,type,
    sK173: 'S5' > $int ).

tff(func_def_239,type,
    sK174: ( $int * 'S5' ) > 'S6' ).

tff(func_def_240,type,
    sK175: ( $real * $real * $real ) > 'S2' ).

tff(func_def_241,type,
    sK176: ( 'S5' * $real ) > 'S4' ).

tff(func_def_242,type,
    sK177: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_243,type,
    sK178: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_244,type,
    sK179: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_245,type,
    sK180: ( $real * 'S5' ) > $real ).

tff(func_def_246,type,
    sK181: 'S5' > $int ).

tff(func_def_247,type,
    sK182: $real > 'S5' ).

tff(func_def_248,type,
    sK183: $real > 'S5' ).

tff(func_def_249,type,
    sK184: ( 'S5' * 'S5' ) > $int ).

tff(func_def_250,type,
    sK185: ( 'S5' * 'S5' ) > $int ).

tff(func_def_251,type,
    sK186: ( $real * $real ) > $real ).

tff(func_def_252,type,
    sK187: $real > $real ).

tff(func_def_253,type,
    sK188: ( $int * $int * $int * $int ) > 'S13' ).

tff(func_def_254,type,
    sK189: ( $real * $real ) > 'S2' ).

tff(func_def_255,type,
    sK190: ( $real * $real ) > $real ).

tff(func_def_256,type,
    sK191: ( $real * $real ) > $real ).

tff(func_def_257,type,
    sK192: ( $int * 'S5' ) > 'S6' ).

tff(func_def_258,type,
    sK193: ( 'S5' * 'S9' ) > 'S8' ).

tff(func_def_259,type,
    sK194: $real > $real ).

tff(func_def_260,type,
    sK195: ( $real * 'S5' ) > 'S4' ).

tff(func_def_261,type,
    sK196: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_262,type,
    sK197: ( $real * $real ) > 'S5' ).

tff(func_def_263,type,
    sK198: ( 'S5' * 'S5' ) > $int ).

tff(func_def_264,type,
    sK199: ( 'S5' * 'S5' ) > 'S5' ).

tff(func_def_265,type,
    sK200: ( 'S5' * 'S5' ) > $int ).

tff(func_def_266,type,
    sK201: $real ).

tff(func_def_267,type,
    sK202: $real ).

tff(func_def_268,type,
    sK203: ( $int * 'S5' * 'S5' ) > 'S6' ).

tff(func_def_269,type,
    sK204: ( $real * $real * $real ) > 'S2' ).

tff(func_def_270,type,
    sK205: $real > 'S5' ).

tff(func_def_271,type,
    sK206: ( $real * $real * 'S2' ) > $real ).

tff(func_def_272,type,
    sK207: ( $real * $real * 'S2' ) > $real ).

tff(func_def_273,type,
    sK208: ( $real * $real * 'S2' ) > 'S2' ).

tff(func_def_274,type,
    sK209: ( $real * $real ) > 'S2' ).

tff(func_def_275,type,
    sK210: $real > 'S5' ).

tff(func_def_276,type,
    sK211: ( 'S5' * $real ) > 'S4' ).

tff(func_def_277,type,
    sK212: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_278,type,
    sK213: ( 'S5' * 'S5' ) > $int ).

tff(func_def_279,type,
    sK214: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_280,type,
    sK215: ( 'S5' * 'S5' ) > 'S5' ).

tff(func_def_281,type,
    sK216: 'S5' > $int ).

tff(func_def_282,type,
    sK217: ( $real * $real ) > $real ).

tff(func_def_283,type,
    sK218: ( $real * $real ) > 'S5' ).

tff(func_def_284,type,
    sK219: ( 'S9' * 'S5' ) > 'S8' ).

tff(func_def_285,type,
    sK220: 'S5' > $int ).

tff(func_def_286,type,
    sK221: $real > 'S5' ).

tff(func_def_287,type,
    sK222: $real > 'S5' ).

tff(func_def_288,type,
    sK223: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_289,type,
    sK224: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_290,type,
    sK225: ( $real * $real ) > $real ).

tff(func_def_291,type,
    sK226: ( $real * $real ) > $real ).

tff(func_def_292,type,
    sK227: ( $real * $real ) > $real ).

tff(func_def_293,type,
    sK228: ( $real * $real ) > 'S2' ).

tff(func_def_294,type,
    sK229: ( $real * $real ) > 'S2' ).

tff(func_def_295,type,
    sK230: ( $real * $real ) > 'S5' ).

tff(func_def_296,type,
    sK231: ( $int * $int * $int * $int ) > 'S13' ).

tff(func_def_297,type,
    sK232: ( $int * $int * $int * $int ) > 'S13' ).

tff(func_def_298,type,
    sK233: $real > $real ).

tff(func_def_299,type,
    sK234: $real > $real ).

tff(func_def_300,type,
    sK235: ( 'S5' * $real ) > 'S4' ).

tff(func_def_301,type,
    sK236: ( 'S5' * $real ) > $real ).

tff(func_def_302,type,
    sK237: ( 'S5' * 'S5' * $real ) > 'S4' ).

tff(func_def_303,type,
    sK238: ( 'S5' * 'S5' * $real ) > $int ).

tff(func_def_304,type,
    sK239: ( 'S5' * 'S5' * $real ) > $int ).

tff(func_def_305,type,
    sK240: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_306,type,
    sK241: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_307,type,
    sK242: ( $real * 'S5' ) > $real ).

tff(func_def_308,type,
    sK243: ( $real * $real ) > 'S5' ).

tff(func_def_309,type,
    sK244: ( 'S5' * 'S5' ) > $int ).

tff(func_def_310,type,
    sK245: $real > $real ).

tff(func_def_311,type,
    sK246: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_312,type,
    sK247: $real > 'S5' ).

tff(func_def_313,type,
    sK248: ( $real * $real * $real * $real ) > 'S2' ).

tff(func_def_314,type,
    sK249: $real > 'S5' ).

tff(func_def_315,type,
    sK250: $real > $real ).

tff(func_def_316,type,
    sK251: ( $real * $real ) > $real ).

tff(func_def_317,type,
    sK252: ( $real * $real * $real ) > 'S2' ).

tff(func_def_318,type,
    sK253: $real > $real ).

tff(func_def_319,type,
    sK254: ( $int * $int * $int ) > 'S13' ).

tff(f3,axiom,
    f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = 0/1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).

tff(f4,axiom,
    ? [X0: $real] :
      ( ( $less(X0,0/1)
       => ( $uminus(X0) = 1/1 ) )
      & ( X0 = f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) )
      & ( ~ $less(X0,0/1)
       => ( X0 = 1/1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4) ).

tff(f675,plain,
    ? [X0: $real] :
      ( ( ~ $less(X0,0/1)
        | ( $uminus(X0) = 1/1 ) )
      & ( X0 = f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) )
      & ( $less(X0,0/1)
        | ( X0 = 1/1 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f900,plain,
    ( ( ~ $less(sK136,0/1)
      | ( 1/1 = $uminus(sK136) ) )
    & ( f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = sK136 )
    & ( $less(sK136,0/1)
      | ( 1/1 = sK136 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK136]),skolemize(X0,sK136)],[f675]) ).

tff(f1282,plain,
    f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = 0/1,
    inference(cnf_transformation,[],[f3]) ).

tff(f1462,plain,
    ( $less(sK136,0/1)
    | ( 1/1 = sK136 ) ),
    inference(cnf_transformation,[],[f900]) ).

tff(f1463,plain,
    f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = sK136,
    inference(cnf_transformation,[],[f900]) ).

tff(f2181,definition,
    ( spl255_21
  <=> ( f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = 0/1 ) ),
    introduced(definition,[new_symbols(definition,[spl255_21])],[avatar_definition]) ).

tff(f2184,plain,
    spl255_21,
    inference(avatar_split_clause,[],[f1282,f2181]) ).

tff(f2196,definition,
    ( spl255_24
  <=> ( f3(f4,f3(f5(f6,$product(2/1,f7)),f8(f9,f10))) = sK136 ) ),
    introduced(definition,[new_symbols(definition,[spl255_24])],[avatar_definition]) ).

tff(f2199,plain,
    spl255_24,
    inference(avatar_split_clause,[],[f1463,f2196]) ).

tff(f2205,definition,
    ( spl255_26
  <=> $less(sK136,0/1) ),
    introduced(definition,[new_symbols(definition,[spl255_26])],[avatar_definition]) ).

tff(f2280,definition,
    ( spl255_41
  <=> ( 1/1 = sK136 ) ),
    introduced(definition,[new_symbols(definition,[spl255_41])],[avatar_definition]) ).

tff(f2283,plain,
    ( spl255_41
    | spl255_26 ),
    inference(avatar_split_clause,[],[f1462,f2205,f2280]) ).

tff(f2304,plain,
    $false,
    inference(avatar_smt_refutation,[],[f2283,f2199,f2184]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW824_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n005.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 14:30:46 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 3.36/1.22  % (828969)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.36/1.22  % (829100)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=840021199:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.36/1.22  % (829100)Instruction limit reached! 
% 3.36/1.22  % (829100)------------------------------
% 3.36/1.22  % (829100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829100)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829100)Termination reason: Instruction limit
% 3.36/1.22  % (829100)Termination phase: Property scanning
% 3.36/1.22  % (829100)Time elapsed: 0.002 s
% 3.36/1.22  % (829100)Peak memory usage: 86 MB
% 3.36/1.22  % (829100)Instructions burned: 7 (million)
% 3.36/1.22  % (829096)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1543065079:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.36/1.22  % (829098)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1631669471:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.36/1.22  % (829097)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1313607194:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.36/1.22  % (829095)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3926263411:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.36/1.22  % (829098)Instruction limit reached! 
% 3.36/1.22  % (829098)------------------------------
% 3.36/1.22  % (829098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829098)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829098)Termination reason: Instruction limit
% 3.36/1.22  % (829098)Termination phase: Property scanning
% 3.36/1.22  % (829098)Time elapsed: 0.004 s
% 3.36/1.22  % (829098)Peak memory usage: 85 MB
% 3.36/1.22  % (829098)Instructions burned: 8 (million)
% 3.36/1.22  % (829095)Instruction limit reached! 
% 3.36/1.22  % (829095)------------------------------
% 3.36/1.22  % (829095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829095)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829095)Termination reason: Instruction limit
% 3.36/1.22  % (829095)Termination phase: Property scanning
% 3.36/1.22  % (829095)Time elapsed: 0.007 s
% 3.36/1.22  % (829095)Peak memory usage: 85 MB
% 3.36/1.22  % (829095)Instructions burned: 13 (million)
% 3.36/1.22  % (829101)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1366234158:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.36/1.22  % (829102)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1110110729:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.36/1.22  % (829101)Instruction limit reached! 
% 3.36/1.22  % (829101)------------------------------
% 3.36/1.22  % (829101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829101)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829101)Termination reason: Instruction limit
% 3.36/1.22  % (829101)Termination phase: Saturation
% 3.36/1.22  % (829101)Time elapsed: 0.024 s
% 3.36/1.22  % (829101)Peak memory usage: 89 MB
% 3.36/1.22  % (829101)Instructions burned: 48 (million)
% 3.36/1.22  % (829102)Instruction limit reached! 
% 3.36/1.22  % (829102)------------------------------
% 3.36/1.22  % (829102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829102)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829102)Termination reason: Instruction limit
% 3.36/1.22  % (829102)Termination phase: Property scanning
% 3.36/1.22  % (829102)Time elapsed: 0.018 s
% 3.36/1.22  % (829102)Peak memory usage: 87 MB
% 3.36/1.22  % (829102)Instructions burned: 34 (million)
% 3.36/1.22  % (829096)First to succeed.
% 3.36/1.22  % (829096)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-828969"
% 3.36/1.22  % (829129)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3266693214:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.36/1.22  % (829129)Refutation not found, incomplete strategy
% 3.36/1.22  % (829129)------------------------------
% 3.36/1.22  % (829129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829129)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829129)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.22  % (829129)Time elapsed: 0.004 s
% 3.36/1.22  % (829129)Peak memory usage: 88 MB
% 3.36/1.22  % (829129)Instructions burned: 12 (million)
% 3.36/1.22  % (829135)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1523667667:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.36/1.22  % (829134)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=2667727893:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 3.36/1.22  % (829097)Instruction limit reached! 
% 3.36/1.22  % (829097)------------------------------
% 3.36/1.22  % (829097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829097)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829097)Termination reason: Instruction limit
% 3.36/1.22  % (829097)Termination phase: Saturation
% 3.36/1.22  % (829097)Time elapsed: 0.161 s
% 3.36/1.22  % (829097)Peak memory usage: 119 MB
% 3.36/1.22  % (829097)Instructions burned: 201 (million)
% 3.36/1.22  % (829135)Instruction limit reached! 
% 3.36/1.22  % (829135)------------------------------
% 3.36/1.22  % (829135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829135)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829135)Termination reason: Instruction limit
% 3.36/1.22  % (829135)Termination phase: Preprocessing 3
% 3.36/1.22  % (829135)Time elapsed: 0.010 s
% 3.36/1.22  % (829135)Peak memory usage: 87 MB
% 3.36/1.22  % (829135)Instructions burned: 16 (million)
% 3.36/1.22  % (829134)Instruction limit reached! 
% 3.36/1.22  % (829134)------------------------------
% 3.36/1.22  % (829134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829134)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829134)Termination reason: Instruction limit
% 3.36/1.22  % (829134)Termination phase: Preprocessing 3
% 3.36/1.22  % (829134)Time elapsed: 0.016 s
% 3.36/1.22  % (829134)Peak memory usage: 87 MB
% 3.36/1.22  % (829134)Instructions burned: 29 (million)
% 3.36/1.22  % (829138)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1603901030:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.36/1.22  % (829139)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=1284633845:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.36/1.22  % (829138)Instruction limit reached! 
% 3.36/1.22  % (829138)------------------------------
% 3.36/1.22  % (829138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829138)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829138)Termination reason: Instruction limit
% 3.36/1.22  % (829138)Termination phase: Preprocessing 3
% 3.36/1.22  % (829138)Time elapsed: 0.014 s
% 3.36/1.22  % (829138)Peak memory usage: 87 MB
% 3.36/1.22  % (829138)Instructions burned: 25 (million)
% 3.36/1.22  % (829139)Instruction limit reached! 
% 3.36/1.22  % (829139)------------------------------
% 3.36/1.22  % (829139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829139)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829139)Termination reason: Instruction limit
% 3.36/1.22  % (829139)Termination phase: Preprocessing 3
% 3.36/1.22  % (829139)Time elapsed: 0.015 s
% 3.36/1.22  % (829139)Peak memory usage: 87 MB
% 3.36/1.22  % (829139)Instructions burned: 27 (million)
% 3.36/1.22  % (829129)------------------------------
% 3.36/1.22  % (829129)------------------------------
% 3.36/1.22  % (829182)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=599219563:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.36/1.22  % (829188)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1676245361:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.36/1.22  % (829184)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2673288057:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.36/1.22  % (829184)Instruction limit reached! 
% 3.36/1.22  % (829184)------------------------------
% 3.36/1.22  % (829184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829184)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829184)Termination reason: Instruction limit
% 3.36/1.22  % (829184)Termination phase: Property scanning
% 3.36/1.22  % (829184)Time elapsed: 0.002 s
% 3.36/1.22  % (829184)Peak memory usage: 86 MB
% 3.36/1.22  % (829184)Instructions burned: 2 (million)
% 3.36/1.22  % (829188)Refutation not found, incomplete strategy
% 3.36/1.22  % (829188)------------------------------
% 3.36/1.22  % (829188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.22  % (829188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.22  % (829188)CaDiCaL version: 2.1.3
% 3.36/1.22  % (829188)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.22  % (829188)Time elapsed: 0.007 s
% 3.36/1.22  % (829188)Peak memory usage: 88 MB
% 3.36/1.22  % (829188)Instructions burned: 11 (million)
% 3.36/1.22  % (829096)Refutation found. Thanks to Tanya!
% 3.36/1.22  % SZS status Unsatisfiable for theBenchmark
% 3.36/1.22  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.41  % (829096)------------------------------
% 0.21/1.41  % (829096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.41  % (829096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.41  % (829096)CaDiCaL version: 2.1.3
% 0.21/1.41  % (829096)Termination reason: Refutation
% 0.21/1.41  % (829096)Time elapsed: 0.069 s
% 0.21/1.41  % (829096)Peak memory usage: 117 MB
% 0.21/1.41  % (829096)Instructions burned: 81 (million)
% 0.21/1.41  % (829096)------------------------------
% 0.21/1.41  % (829096)------------------------------
% 0.21/1.41  % (828969)Success in time 0.541 s
% 0.21/1.41  % Vampire exiting
%------------------------------------------------------------------------------