TSTP Solution File: SWW824_1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW824_1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:46:41 EDT 2024

% Result   : Unsatisfiable 1.74s 0.68s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  243
% Syntax   : Number of formulae    :  933 ( 258 unt;   0 typ;   0 def)
%            Number of atoms       : 1833 ( 509 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives : 1555 ( 655   ~; 591   |; 101   &)
%                                         ( 177 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number arithmetic     : 2108 ( 477 atm; 233 fun;1170 num; 228 var)
%            Number of types       :   23 (  21 usr;   2 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  171 ( 167 usr; 168 prp; 0-2 aty)
%            Number of functors    :  317 ( 301 usr;  46 con; 0-4 aty)
%            Number of variables   :  329 ( 245   !;  84   ?; 329   :)

% 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: ( $int * $int * $int ) > 'S13' ).

tff(func_def_66,type,
    sK1: $real ).

tff(func_def_67,type,
    sK2: ( $real * $real * $real ) > 'S2' ).

tff(func_def_68,type,
    sK3: ( $real * $real * $real ) > $real ).

tff(func_def_69,type,
    sK4: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_70,type,
    sK5: $real > $real ).

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

tff(func_def_72,type,
    sK7: ( 'S5' * 'S9' ) > 'S8' ).

tff(func_def_73,type,
    sK8: ( 'S5' * 'S9' ) > $int ).

tff(func_def_74,type,
    sK9: $real > $real ).

tff(func_def_75,type,
    sK10: ( $real * $real ) > 'S2' ).

tff(func_def_76,type,
    sK11: ( 'S5' * $int ) > 'S6' ).

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

tff(func_def_78,type,
    sK13: ( 'S9' * 'S5' ) > 'S8' ).

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

tff(func_def_80,type,
    sK15: ( 'S5' * 'S5' * $real ) > 'S4' ).

tff(func_def_81,type,
    sK16: $real > 'S5' ).

tff(func_def_82,type,
    sK17: ( $real * $real ) > $real ).

tff(func_def_83,type,
    sK18: ( $int * 'S5' ) > 'S6' ).

tff(func_def_84,type,
    sK19: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_85,type,
    sK20: ( $real * $real ) > 'S2' ).

tff(func_def_86,type,
    sK21: ( $real * $real ) > 'S2' ).

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

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

tff(func_def_89,type,
    sK24: ( $real * $real ) > $real ).

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

tff(func_def_91,type,
    sK26: ( $real * $real ) > $real ).

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

tff(func_def_93,type,
    sK28: $real > 'S5' ).

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

tff(func_def_95,type,
    sK30: $real > $real ).

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

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

tff(func_def_98,type,
    sK33: ( 'S5' * 'S9' ) > 'S9' ).

tff(func_def_99,type,
    sK34: 'S5' > $int ).

tff(func_def_100,type,
    sK35: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_101,type,
    sK36: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_102,type,
    sK37: ( $real * 'S5' ) > 'S4' ).

tff(func_def_103,type,
    sK38: ( 'S5' * $int * 'S5' ) > 'S6' ).

tff(func_def_104,type,
    sK39: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_105,type,
    sK40: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).

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

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

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

tff(func_def_109,type,
    sK44: $real > $real ).

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

tff(func_def_111,type,
    sK46: ( $real * $real * $real * $real ) > 'S2' ).

tff(func_def_112,type,
    sK47: ( $real * $real * $real ) > 'S2' ).

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

tff(func_def_114,type,
    sK49: ( $real * $real ) > $real ).

tff(func_def_115,type,
    sK50: ( $real * $real ) > $real ).

tff(func_def_116,type,
    sK51: ( $real * $real ) > 'S2' ).

tff(func_def_117,type,
    sK52: ( 'S9' * 'S5' ) > 'S8' ).

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

tff(func_def_119,type,
    sK54: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_120,type,
    sK55: ( 'S5' * $real ) > 'S4' ).

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

tff(func_def_122,type,
    sK57: ( 'S5' * $int ) > 'S6' ).

tff(func_def_123,type,
    sK58: ( 'S5' * $int ) > $int ).

tff(func_def_124,type,
    sK59: $real > $real ).

tff(func_def_125,type,
    sK60: ( 'S5' * 'S5' * 'S5' ) > $int ).

tff(func_def_126,type,
    sK61: ( 'S5' * 'S5' * 'S5' ) > $int ).

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

tff(func_def_128,type,
    sK63: ( 'S5' * $real ) > 'S4' ).

tff(func_def_129,type,
    sK64: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_130,type,
    sK65: ( 'S5' * $real ) > 'S4' ).

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

tff(func_def_132,type,
    sK67: ( 'S5' * $int ) > 'S6' ).

tff(func_def_133,type,
    sK68: ( 'S5' * 'S5' * $int ) > 'S6' ).

tff(func_def_134,type,
    sK69: ( 'S5' * 'S5' * $int ) > $int ).

tff(func_def_135,type,
    sK70: ( 'S5' * 'S5' * $int ) > $int ).

tff(func_def_136,type,
    sK71: ( $real * $real * $real ) > 'S2' ).

tff(func_def_137,type,
    sK72: ( $real * $real * $real ) > 'S2' ).

tff(func_def_138,type,
    sK73: ( 'S5' * $int ) > 'S6' ).

tff(func_def_139,type,
    sK74: ( 'S5' * 'S5' * 'S9' ) > 'S8' ).

tff(func_def_140,type,
    sK75: ( $real * $real * $real ) > 'S2' ).

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

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

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

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

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

tff(func_def_146,type,
    sK81: ( $int * $int * $int ) > 'S13' ).

tff(func_def_147,type,
    sK82: ( $int * $int * $int ) > 'S13' ).

tff(func_def_148,type,
    sK83: ( $real * 'S5' ) > 'S4' ).

tff(func_def_149,type,
    sK84: ( $real * 'S5' ) > $int ).

tff(func_def_150,type,
    sK85: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).

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

tff(func_def_152,type,
    sK87: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_153,type,
    sK88: $real > $real ).

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

tff(func_def_155,type,
    sK90: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).

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

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

tff(func_def_158,type,
    sK93: ( 'S5' * $int ) > 'S6' ).

tff(func_def_159,type,
    sK94: $real > $real ).

tff(func_def_160,type,
    sK95: $real > $real ).

tff(func_def_161,type,
    sK96: ( 'S5' * 'S5' * $real ) > 'S4' ).

tff(func_def_162,type,
    sK97: ( 'S5' * 'S5' * $real ) > $int ).

tff(func_def_163,type,
    sK98: ( 'S5' * 'S5' * $real ) > $int ).

tff(func_def_164,type,
    sK99: ( 'S5' * $real * 'S5' ) > 'S4' ).

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

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

tff(func_def_167,type,
    sK102: ( 'S5' * 'S9' ) > 'S8' ).

tff(func_def_168,type,
    sK103: ( 'S9' * 'S5' ) > 'S8' ).

tff(func_def_169,type,
    sK104: ( 'S9' * 'S5' * 'S5' ) > $int ).

tff(func_def_170,type,
    sK105: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).

tff(func_def_171,type,
    sK106: ( 'S9' * 'S5' * 'S5' ) > $int ).

tff(func_def_172,type,
    sK107: $real > $real ).

tff(func_def_173,type,
    sK108: $real > 'S5' ).

tff(func_def_174,type,
    sK109: 'S5' > 'S5' ).

tff(func_def_175,type,
    sK110: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_176,type,
    sK111: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_177,type,
    sK112: ( 'S9' * 'S5' ) > 'S8' ).

tff(func_def_178,type,
    sK113: ( 'S5' * $int ) > 'S6' ).

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

tff(func_def_180,type,
    sK115: ( 'S9' * 'S5' * 'S5' ) > 'S8' ).

tff(func_def_181,type,
    sK116: ( 'S5' * $real ) > 'S4' ).

tff(func_def_182,type,
    sK117: $real > $real ).

tff(func_def_183,type,
    sK118: $real > $real ).

tff(func_def_184,type,
    sK119: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

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

tff(func_def_186,type,
    sK121: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_187,type,
    sK122: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_188,type,
    sK123: $real > $real ).

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

tff(func_def_190,type,
    sK125: ( $real * $real * $real ) > 'S2' ).

tff(func_def_191,type,
    sK126: ( 'S5' * 'S5' ) > 'S17' ).

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

tff(func_def_193,type,
    sK128: ( $real * $real * $real ) > 'S2' ).

tff(func_def_194,type,
    sK129: ( 'S5' * $int ) > 'S6' ).

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

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

tff(func_def_197,type,
    sK132: ( 'S5' * 'S5' ) > 'S5' ).

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

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

tff(func_def_200,type,
    sK135: 'S5' > $int ).

tff(func_def_201,type,
    sK136: ( 'S5' * 'S9' * 'S5' ) > 'S8' ).

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

tff(func_def_203,type,
    sK138: $real > 'S5' ).

tff(func_def_204,type,
    sK139: $real > $real ).

tff(func_def_205,type,
    sK140: ( 'S5' * 'S5' * $real ) > 'S4' ).

tff(func_def_206,type,
    sK141: $int > 'S5' ).

tff(func_def_207,type,
    sK142: $real > $real ).

tff(func_def_208,type,
    sK143: ( 'S5' * 'S5' ) > $int ).

tff(func_def_209,type,
    sK144: ( 'S5' * $real ) > 'S4' ).

tff(func_def_210,type,
    sK145: ( 'S5' * $real ) > $real ).

tff(func_def_211,type,
    sK146: ( $int * 'S5' * 'S5' ) > 'S6' ).

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

tff(func_def_213,type,
    sK148: ( $real * $real ) > $real ).

tff(func_def_214,type,
    sK149: $real > 'S5' ).

tff(func_def_215,type,
    sK150: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_216,type,
    sK151: ( 'S5' * 'S5' ) > $int ).

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

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

tff(func_def_219,type,
    sK154: $real > $real ).

tff(func_def_220,type,
    sK155: $real > $real ).

tff(func_def_221,type,
    sK156: ( 'S5' * $int ) > 'S6' ).

tff(func_def_222,type,
    sK157: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

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

tff(func_def_224,type,
    sK159: ( $int * $int * $int * $int ) > 'S13' ).

tff(func_def_225,type,
    sK160: ( $int * $int * $int * $int ) > 'S13' ).

tff(func_def_226,type,
    sK161: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

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

tff(func_def_228,type,
    sK163: $real > $real ).

tff(func_def_229,type,
    sK164: $real > $real ).

tff(func_def_230,type,
    sK165: 'S5' > 'S5' ).

tff(func_def_231,type,
    sK166: $real > 'S5' ).

tff(func_def_232,type,
    sK167: ( $real * $real * $real ) > 'S2' ).

tff(func_def_233,type,
    sK168: ( 'S9' * 'S5' ) > 'S8' ).

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

tff(func_def_235,type,
    sK170: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_236,type,
    sK171: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_237,type,
    sK172: ( 'S5' * 'S5' ) > 'S5' ).

tff(func_def_238,type,
    sK173: ( 'S5' * $int ) > 'S6' ).

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

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

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

tff(func_def_242,type,
    sK177: ( $real * $real ) > $real ).

tff(func_def_243,type,
    sK178: $real > $real ).

tff(func_def_244,type,
    sK179: ( $real * $real ) > 'S5' ).

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

tff(func_def_246,type,
    sK181: $real ).

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

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

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

tff(func_def_250,type,
    sK185: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S9' ).

tff(func_def_251,type,
    sK186: ( 'S9' * 'S9' * 'S9' * 'S9' ) > 'S11' ).

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

tff(func_def_253,type,
    sK188: ( $real * $real ) > $real ).

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

tff(func_def_255,type,
    sK190: 'S5' > $int ).

tff(func_def_256,type,
    sK191: ( $int * $int * $int * $int ) > 'S13' ).

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

tff(func_def_258,type,
    sK193: ( 'S5' * 'S5' ) > $int ).

tff(func_def_259,type,
    sK194: ( $real * $real * $real ) > 'S2' ).

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

tff(func_def_261,type,
    sK196: $int > $int ).

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

tff(func_def_263,type,
    sK198: $real > $real ).

tff(func_def_264,type,
    sK199: ( $real * $real * $real * $real ) > 'S2' ).

tff(func_def_265,type,
    sK200: ( $real * $real * $real * $real ) > 'S2' ).

tff(func_def_266,type,
    sK201: ( $real * $real * $real ) > 'S2' ).

tff(func_def_267,type,
    sK202: ( 'S5' * 'S9' ) > 'S9' ).

tff(func_def_268,type,
    sK203: $real > $real ).

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

tff(func_def_270,type,
    sK205: ( 'S2' * $real * $real ) > $real ).

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

tff(func_def_272,type,
    sK207: ( $int * $int * $int * $int ) > $int ).

tff(func_def_273,type,
    sK208: ( $int * $int * $int * $int ) > 'S13' ).

tff(func_def_274,type,
    sK209: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

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

tff(func_def_276,type,
    sK211: $real > $real ).

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

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

tff(func_def_279,type,
    sK214: ( 'S5' * 'S5' ) > $int ).

tff(func_def_280,type,
    sK215: ( $real * $real * $real * $real ) > 'S2' ).

tff(func_def_281,type,
    sK216: ( 'S5' * 'S9' ) > 'S8' ).

tff(func_def_282,type,
    sK217: ( $real * $real * $real ) > 'S2' ).

tff(func_def_283,type,
    sK218: ( $real * 'S5' * 'S5' ) > 'S4' ).

tff(func_def_284,type,
    sK219: $real > $real ).

tff(func_def_285,type,
    sK220: $real ).

tff(func_def_286,type,
    sK221: $int > $int ).

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

tff(func_def_288,type,
    sK223: $real > 'S5' ).

tff(func_def_289,type,
    sK224: $real > 'S5' ).

tff(func_def_290,type,
    sK225: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_291,type,
    sK226: ( 'S5' * 'S5' ) > 'S17' ).

tff(func_def_292,type,
    sK227: ( $int * $int * $int ) > 'S13' ).

tff(func_def_293,type,
    sK228: 'S5' > $real ).

tff(func_def_294,type,
    sK229: ( 'S5' * 'S5' ) > 'S17' ).

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

tff(func_def_296,type,
    sK231: $real > $real ).

tff(func_def_297,type,
    sK232: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_298,type,
    sK233: ( 'S5' * $int ) > $int ).

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

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

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

tff(func_def_302,type,
    sK237: ( 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_303,type,
    sK238: ( $real * 'S5' ) > 'S4' ).

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

tff(func_def_305,type,
    sK240: $real > $real ).

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

tff(func_def_307,type,
    sK242: ( 'S5' * 'S5' * 'S5' * 'S5' ) > 'S17' ).

tff(func_def_308,type,
    sK243: ( 'S9' * 'S9' * 'S9' ) > 'S11' ).

tff(func_def_309,type,
    sK244: ( $int * $int * $int ) > 'S13' ).

tff(func_def_310,type,
    sK245: ( 'S5' * 'S5' * $int ) > 'S6' ).

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

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

tff(func_def_313,type,
    sK248: ( $real * 'S5' ) > 'S4' ).

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

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

tff(func_def_316,type,
    sK251: ( $real * $real ) > 'S5' ).

tff(func_def_317,type,
    sK252: ( $real * $real ) > 'S5' ).

tff(func_def_318,type,
    sK253: ( $real * $real ) > 'S2' ).

tff(func_def_319,type,
    sK254: ( 'S5' * 'S5' ) > 'S17' ).

tff(f7310,plain,
    $false,
    inference(avatar_smt_refutation,[],[f1649,f1653,f1657,f1661,f1665,f1669,f1673,f1677,f1681,f1685,f1689,f1693,f1697,f1702,f1707,f1712,f1717,f1721,f1725,f1729,f1733,f1737,f1767,f1771,f1775,f1779,f1783,f1787,f1804,f1808,f1826,f2003,f2123,f2302,f2827,f2963,f3068,f3077,f3084,f3095,f3099,f3108,f3109,f3116,f3122,f3130,f3134,f3138,f3144,f3155,f3167,f3200,f3219,f3223,f3227,f3231,f3235,f3240,f3245,f3249,f3273,f3311,f3322,f3336,f3398,f3423,f3430,f3435,f3442,f3450,f3495,f3499,f3503,f3507,f3511,f3520,f3524,f3531,f3535,f3539,f3543,f3547,f3551,f3565,f3569,f3573,f3587,f3592,f3600,f3606,f3608,f3642,f3648,f3668,f3676,f3684,f3692,f3700,f3706,f3712,f3716,f3724,f3728,f3740,f3748,f3752,f3760,f3772,f3778,f3960,f3964,f3969,f3993,f4033,f4039,f4045,f4056,f4084,f4118,f4139,f4156,f4196,f4213,f4224,f4230,f4254,f4273,f4314,f4328,f4332,f4336,f4367,f4371,f4446,f4466,f4470,f4474,f4475,f4476,f4477,f4755,f4861,f5469,f5473,f5692,f5898,f5928,f5941,f5953,f5962,f5976,f5992,f6011,f6178,f6182,f6195,f6227,f6231,f6305,f6344,f6464,f6477,f6672,f6675,f6685,f6686,f6758,f6764,f6862,f6882,f6907,f6973,f6980,f7071,f7083,f7261,f7290,f7295,f7307,f7309]) ).

tff(f7309,plain,
    ( ~ spl255_32
    | ~ spl255_160 ),
    inference(avatar_contradiction_clause,[],[f7308]) ).

tff(f7308,plain,
    ( $false
    | ~ spl255_32
    | ~ spl255_160 ),
    inference(evaluation,[],[f7303]) ).

tff(f7303,plain,
    ( $less(0.0,0.0)
    | ~ spl255_32
    | ~ spl255_160 ),
    inference(backward_demodulation,[],[f1999,f7297]) ).

tff(f7297,plain,
    ( ( 0.0 = sK181 )
    | ~ spl255_160 ),
    inference(forward_demodulation,[],[f7296,f6906]) ).

tff(f6906,plain,
    ( ( 0.0 = f3(f4,f3(f5(f6,$product(2.0,f7)),sK228(f10))) )
    | ~ spl255_160 ),
    inference(avatar_component_clause,[],[f6905]) ).

tff(f6905,plain,
    ( spl255_160
  <=> ( 0.0 = f3(f4,f3(f5(f6,$product(2.0,f7)),sK228(f10))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_160])]) ).

tff(f7296,plain,
    sK181 = f3(f4,f3(f5(f6,$product(2.0,f7)),sK228(f10))),
    inference(forward_demodulation,[],[f1403,f1530]) ).

tff(f1530,plain,
    ! [X0: 'S5'] : ( f8(f9,X0) = sK228(X0) ),
    inference(cnf_transformation,[],[f814]) ).

tff(f814,plain,
    ! [X0: 'S5'] :
    ? [X1: $real] :
      ( ( ( X1 = X1 )
        | $less(X1,0.0) )
      & ( ( $uminus(X1) = X1 )
        | ~ $less(X1,0.0) )
      & ( f8(f9,X0) = X1 ) ),
    inference(ennf_transformation,[],[f528]) ).

tff(f528,plain,
    ! [X0: 'S5'] :
    ? [X1: $real] :
      ( ( $less(X1,0.0)
       => ( $uminus(X1) = X1 ) )
      & ( f8(f9,X0) = X1 )
      & ( ~ $less(X1,0.0)
       => ( X1 = X1 ) ) ),
    inference(rectify,[],[f31]) ).

tff(f31,axiom,
    ! [X1: 'S5'] :
    ? [X9: $real] :
      ( ( f8(f9,X1) = X9 )
      & ( $less(X9,0.0)
       => ( $uminus(X9) = X9 ) )
      & ( ~ $less(X9,0.0)
       => ( X9 = X9 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1403,plain,
    f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = sK181,
    inference(cnf_transformation,[],[f901]) ).

tff(f901,plain,
    ? [X0: $real] :
      ( ( f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = X0 )
      & ( ~ $less(X0,0.0)
        | ( $uminus(X0) = 1.0 ) )
      & ( ( 1.0 = X0 )
        | $less(X0,0.0) ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f4,axiom,
    ? [X0: $real] :
      ( ( $less(X0,0.0)
       => ( $uminus(X0) = 1.0 ) )
      & ( ~ $less(X0,0.0)
       => ( 1.0 = X0 ) )
      & ( f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1999,plain,
    ( $less(sK181,0.0)
    | ~ spl255_32 ),
    inference(avatar_component_clause,[],[f1998]) ).

tff(f1998,plain,
    ( spl255_32
  <=> $less(sK181,0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_32])]) ).

tff(f7307,plain,
    ( spl255_167
    | ~ spl255_160 ),
    inference(avatar_split_clause,[],[f7297,f6905,f7305]) ).

tff(f7305,plain,
    ( spl255_167
  <=> ( 0.0 = sK181 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_167])]) ).

tff(f7295,plain,
    ( ~ spl255_33
    | ~ spl255_160 ),
    inference(avatar_contradiction_clause,[],[f7294]) ).

tff(f7294,plain,
    ( $false
    | ~ spl255_33
    | ~ spl255_160 ),
    inference(evaluation,[],[f7293]) ).

tff(f7293,plain,
    ( ( 0.0 = 1.0 )
    | ~ spl255_33
    | ~ spl255_160 ),
    inference(forward_demodulation,[],[f7292,f6906]) ).

tff(f7292,plain,
    ( ( 1.0 = f3(f4,f3(f5(f6,$product(2.0,f7)),sK228(f10))) )
    | ~ spl255_33 ),
    inference(forward_demodulation,[],[f7291,f1530]) ).

tff(f7291,plain,
    ( ( f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = 1.0 )
    | ~ spl255_33 ),
    inference(forward_demodulation,[],[f1403,f2002]) ).

tff(f2002,plain,
    ( ( 1.0 = sK181 )
    | ~ spl255_33 ),
    inference(avatar_component_clause,[],[f2001]) ).

tff(f2001,plain,
    ( spl255_33
  <=> ( 1.0 = sK181 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_33])]) ).

tff(f7290,plain,
    ( spl255_166
    | ~ spl255_131 ),
    inference(avatar_split_clause,[],[f4629,f4444,f7288]) ).

tff(f7288,plain,
    ( spl255_166
  <=> $less(0.0,sK145(f13(f14,0),2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_166])]) ).

tff(f4444,plain,
    ( spl255_131
  <=> $less(0.0,sK230(f13(f14,0),2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_131])]) ).

tff(f4629,plain,
    ( $less(0.0,sK145(f13(f14,0),2.0))
    | ~ spl255_131 ),
    inference(backward_demodulation,[],[f4445,f4611]) ).

tff(f4611,plain,
    ! [X0: 'S5',X1: $real] : ( sK145(X0,X1) = sK230(X0,X1) ),
    inference(backward_demodulation,[],[f1534,f3998]) ).

tff(f3998,plain,
    ! [X0: 'S5',X1: $real] : ( f8(f32(f33,X1),X0) = sK145(X0,X1) ),
    inference(forward_demodulation,[],[f1293,f1295]) ).

tff(f1295,plain,
    ! [X0: 'S5',X1: $real] : ( f32(f33,X1) = sK144(X0,X1) ),
    inference(cnf_transformation,[],[f733]) ).

tff(f733,plain,
    ! [X1: $real,X0: 'S5'] :
    ? [X2: 'S4'] :
      ( ? [X3: $real] :
          ( ( f8(X2,f13(f14,$product(2,f11(f12,X0)))) = f3(f5(f20,X3),X3) )
          & ( f8(X2,X0) = X3 ) )
      & ( f32(f33,X1) = X2 ) ),
    inference(rectify,[],[f234]) ).

tff(f234,axiom,
    ! [X5: 'S5',X1: $real] :
    ? [X134: 'S4'] :
      ( ( f32(f33,X1) = X134 )
      & ? [X135: $real] :
          ( ( f8(X134,f13(f14,$product(2,f11(f12,X5)))) = f3(f5(f20,X135),X135) )
          & ( f8(X134,X5) = X135 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1293,plain,
    ! [X0: 'S5',X1: $real] : ( sK145(X0,X1) = f8(sK144(X0,X1),X0) ),
    inference(cnf_transformation,[],[f733]) ).

tff(f1534,plain,
    ! [X0: 'S5',X1: $real] : ( f8(f32(f33,X1),X0) = sK230(X0,X1) ),
    inference(cnf_transformation,[],[f692]) ).

tff(f692,plain,
    ! [X1: $real,X0: 'S5'] :
    ? [X2: $real] :
      ( ( f8(f32(f33,X1),X0) = X2 )
      & ( f3(f5(f20,X2),X1) = f3(f5(f20,X1),X2) ) ),
    inference(rectify,[],[f327]) ).

tff(f327,axiom,
    ! [X5: 'S5',X1: $real] :
    ? [X217: $real] :
      ( ( f8(f32(f33,X1),X5) = X217 )
      & ( f3(f5(f20,X217),X1) = f3(f5(f20,X1),X217) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4445,plain,
    ( $less(0.0,sK230(f13(f14,0),2.0))
    | ~ spl255_131 ),
    inference(avatar_component_clause,[],[f4444]) ).

tff(f7261,plain,
    spl255_165,
    inference(avatar_split_clause,[],[f7138,f7259]) ).

tff(f7259,plain,
    ( spl255_165
  <=> ( f3(f4,f3(f5(f6,f7),3.0)) = sK9(1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_165])]) ).

tff(f7138,plain,
    f3(f4,f3(f5(f6,f7),3.0)) = sK9(1.0),
    inference(forward_demodulation,[],[f1258,f930]) ).

tff(f930,plain,
    ! [X0: $real] : ( f3(f5(f6,X0),2.0) = sK9(X0) ),
    inference(cnf_transformation,[],[f635]) ).

tff(f635,plain,
    ! [X0: $real] :
    ? [X1: $real] :
      ( ( $sum(X1,X1) = X0 )
      & ( f3(f5(f6,X0),2.0) = X1 ) ),
    inference(rectify,[],[f67]) ).

tff(f67,axiom,
    ! [X1: $real] :
    ? [X19: $real] :
      ( ( f3(f5(f6,X1),2.0) = X19 )
      & ( $sum(X19,X19) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1258,plain,
    f3(f4,f3(f5(f6,f7),3.0)) = f3(f5(f6,1.0),2.0),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,axiom,
    f3(f4,f3(f5(f6,f7),3.0)) = f3(f5(f6,1.0),2.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f7083,plain,
    spl255_164,
    inference(avatar_split_clause,[],[f7049,f7081]) ).

tff(f7081,plain,
    ( spl255_164
  <=> ( f1 = f26(f13(f14,2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_164])]) ).

tff(f7049,plain,
    f1 = f26(f13(f14,2)),
    inference(superposition,[],[f7031,f5092]) ).

tff(f5092,plain,
    ! [X0: 'S5'] : ( 2 = sK34(sK127(X0)) ),
    inference(evaluation,[],[f5089]) ).

tff(f5089,plain,
    ! [X0: 'S5'] : ( sK34(sK127(X0)) = $product(2,1) ),
    inference(superposition,[],[f3241,f4945]) ).

tff(f4945,plain,
    ! [X0: 'S5'] : ( 1 = sK31(sK127(X0)) ),
    inference(evaluation,[],[f4933]) ).

tff(f4933,plain,
    ! [X0: 'S5'] :
      ( $less(1,0)
      | ( 1 = sK31(sK127(X0)) ) ),
    inference(superposition,[],[f4923,f1600]) ).

tff(f1600,plain,
    ! [X0: 'S5'] : ( f13(f14,1) = sK127(X0) ),
    inference(evaluation,[],[f1231]) ).

tff(f1231,plain,
    ! [X0: 'S5'] : ( f13(f14,$sum(0,1)) = sK127(X0) ),
    inference(cnf_transformation,[],[f749]) ).

tff(f749,plain,
    ! [X0: 'S5'] :
    ? [X1: 'S5'] :
      ( ( f13(f14,$sum(0,1)) = X1 )
      & ( f36(f37(f38,X1),X0) = X1 ) ),
    inference(rectify,[],[f318]) ).

tff(f318,axiom,
    ! [X1: 'S5'] :
    ? [X212: 'S5'] :
      ( ( f13(f14,$sum(0,1)) = X212 )
      & ( f36(f37(f38,X212),X1) = X212 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4923,plain,
    ! [X0: $int] :
      ( ( sK31(f13(f14,X0)) = X0 )
      | $less(X0,0) ),
    inference(forward_demodulation,[],[f1098,f986]) ).

tff(f986,plain,
    ! [X0: 'S5'] : ( f11(f12,X0) = sK31(X0) ),
    inference(cnf_transformation,[],[f878]) ).

tff(f878,plain,
    ! [X0: 'S5'] :
    ? [X1: $int] :
      ( ( f11(f12,X0) = X1 )
      & ( ( ( f1 != f26(f13(f14,$sum(X1,$uminus(1)))) )
        <=> ( f1 = f26(X0) ) )
        | ~ $less(0,X1) ) ),
    inference(ennf_transformation,[],[f479]) ).

tff(f479,plain,
    ! [X0: 'S5'] :
    ? [X1: $int] :
      ( ( f11(f12,X0) = X1 )
      & ( $less(0,X1)
       => ( ( f1 != f26(f13(f14,$sum(X1,$uminus(1)))) )
        <=> ( f1 = f26(X0) ) ) ) ),
    inference(rectify,[],[f360]) ).

tff(f360,plain,
    ! [X1: 'S5'] :
    ? [X44: $int] :
      ( ( $less(0,X44)
       => ( ( f1 != f26(f13(f14,$sum(X44,$uminus(1)))) )
        <=> ( f1 = f26(X1) ) ) )
      & ( f11(f12,X1) = X44 ) ),
    inference(theory_normalization,[],[f110]) ).

tff(f110,axiom,
    ! [X1: 'S5'] :
    ? [X44: $int] :
      ( ( $less(0,X44)
       => ( ( f1 != f26(f13(f14,$difference(X44,1))) )
        <=> ( f1 = f26(X1) ) ) )
      & ( f11(f12,X1) = X44 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1098,plain,
    ! [X0: $int] :
      ( $less(X0,0)
      | ( f11(f12,f13(f14,X0)) = X0 ) ),
    inference(cnf_transformation,[],[f840]) ).

tff(f840,plain,
    ! [X0: $int] :
      ( $less(X0,0)
      | ( f11(f12,f13(f14,X0)) = X0 ) ),
    inference(ennf_transformation,[],[f631]) ).

tff(f631,plain,
    ! [X0: $int] :
      ( ~ $less(X0,0)
     => ( f11(f12,f13(f14,X0)) = X0 ) ),
    inference(rectify,[],[f402]) ).

tff(f402,plain,
    ! [X1: $int] :
      ( ~ $less(X1,0)
     => ( f11(f12,f13(f14,X1)) = X1 ) ),
    inference(theory_normalization,[],[f358]) ).

tff(f358,axiom,
    ! [X1: $int] :
      ( $lesseq(0,X1)
     => ( f11(f12,f13(f14,X1)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3241,plain,
    ! [X0: 'S5'] : ( sK34(X0) = $product(2,sK31(X0)) ),
    inference(forward_demodulation,[],[f992,f986]) ).

tff(f992,plain,
    ! [X0: 'S5'] : ( $product(2,f11(f12,X0)) = sK34(X0) ),
    inference(cnf_transformation,[],[f870]) ).

tff(f870,plain,
    ! [X0: 'S5'] :
    ? [X1: $int] :
      ( ( ( f13(f14,X1) = f13(f14,$sum($sum(f11(f12,f13(f14,$sum(X1,$uminus(2)))),1),1)) )
        | ( f13(f14,0) = X0 ) )
      & ( $product(2,f11(f12,X0)) = X1 ) ),
    inference(ennf_transformation,[],[f612]) ).

tff(f612,plain,
    ! [X0: 'S5'] :
    ? [X1: $int] :
      ( ( $product(2,f11(f12,X0)) = X1 )
      & ( ( f13(f14,0) != X0 )
       => ( f13(f14,X1) = f13(f14,$sum($sum(f11(f12,f13(f14,$sum(X1,$uminus(2)))),1),1)) ) ) ),
    inference(rectify,[],[f395]) ).

tff(f395,plain,
    ! [X1: 'S5'] :
    ? [X110: $int] :
      ( ( $product(2,f11(f12,X1)) = X110 )
      & ( ( f13(f14,0) != X1 )
       => ( f13(f14,X110) = f13(f14,$sum($sum(f11(f12,f13(f14,$sum(X110,$uminus(2)))),1),1)) ) ) ),
    inference(theory_normalization,[],[f204]) ).

tff(f204,axiom,
    ! [X1: 'S5'] :
    ? [X110: $int] :
      ( ( $product(2,f11(f12,X1)) = X110 )
      & ( ( f13(f14,0) != X1 )
       => ( f13(f14,$sum($sum(f11(f12,f13(f14,$difference(X110,2))),1),1)) = f13(f14,X110) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f7031,plain,
    ! [X1: 'S5'] : ( f1 = f26(f13(f14,sK34(X1))) ),
    inference(gaussian_variable_elimination,[],[f7030]) ).

tff(f7030,plain,
    ! [X0: 'S5',X1: 'S5'] :
      ( ( f13(f14,sK34(X1)) != X0 )
      | ( f1 = f26(X0) ) ),
    inference(forward_demodulation,[],[f7029,f3241]) ).

tff(f7029,plain,
    ! [X0: 'S5',X1: 'S5'] :
      ( ( f13(f14,$product(2,sK31(X1))) != X0 )
      | ( f1 = f26(X0) ) ),
    inference(forward_demodulation,[],[f1071,f986]) ).

tff(f1071,plain,
    ! [X0: 'S5',X1: 'S5'] :
      ( ( f13(f14,$product(2,f11(f12,X1))) != X0 )
      | ( f1 = f26(X0) ) ),
    inference(cnf_transformation,[],[f511]) ).

tff(f511,plain,
    ! [X0: 'S5'] :
      ( ? [X1: 'S5'] : ( f13(f14,$product(2,f11(f12,X1))) = X0 )
    <=> ( f1 = f26(X0) ) ),
    inference(rectify,[],[f122]) ).

tff(f122,axiom,
    ! [X1: 'S5'] :
      ( ? [X5: 'S5'] : ( f13(f14,$product(2,f11(f12,X5))) = X1 )
    <=> ( f1 = f26(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f7071,plain,
    spl255_163,
    inference(avatar_split_clause,[],[f7047,f7069]) ).

tff(f7069,plain,
    ( spl255_163
  <=> ( f1 = f26(f13(f14,4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_163])]) ).

tff(f7047,plain,
    f1 = f26(f13(f14,4)),
    inference(superposition,[],[f7031,f5031]) ).

tff(f5031,plain,
    ! [X0: $real] : ( 4 = sK34(sK114(X0)) ),
    inference(evaluation,[],[f5028]) ).

tff(f5028,plain,
    ! [X0: $real] : ( $product(2,2) = sK34(sK114(X0)) ),
    inference(superposition,[],[f3241,f4941]) ).

tff(f4941,plain,
    ! [X0: $real] : ( 2 = sK31(sK114(X0)) ),
    inference(evaluation,[],[f4924]) ).

tff(f4924,plain,
    ! [X0: $real] :
      ( $less(2,0)
      | ( 2 = sK31(sK114(X0)) ) ),
    inference(superposition,[],[f4923,f1191]) ).

tff(f1191,plain,
    ! [X0: $real] : ( f13(f14,2) = sK114(X0) ),
    inference(cnf_transformation,[],[f769]) ).

tff(f769,plain,
    ! [X0: $real] :
    ? [X1: 'S5'] :
      ( ( f8(f32(f33,f3(f31,X0)),X1) = $sum(1.0,$uminus(f8(f32(f33,f3(f4,X0)),X1))) )
      & ( f13(f14,2) = X1 ) ),
    inference(rectify,[],[f435]) ).

tff(f435,plain,
    ! [X1: $real] :
    ? [X84: 'S5'] :
      ( ( f13(f14,2) = X84 )
      & ( f8(f32(f33,f3(f31,X1)),X84) = $sum(1.0,$uminus(f8(f32(f33,f3(f4,X1)),X84))) ) ),
    inference(theory_normalization,[],[f155]) ).

tff(f155,axiom,
    ! [X1: $real] :
    ? [X84: 'S5'] :
      ( ( f13(f14,2) = X84 )
      & ( f8(f32(f33,f3(f31,X1)),X84) = $difference(1.0,f8(f32(f33,f3(f4,X1)),X84)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6980,plain,
    ( spl255_162
    | spl255_161 ),
    inference(avatar_split_clause,[],[f6974,f6971,f6978]) ).

tff(f6978,plain,
    ( spl255_162
  <=> $less(sK164(0.0),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_162])]) ).

tff(f6971,plain,
    ( spl255_161
  <=> $less(0.0,sK164(0.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_161])]) ).

tff(f6974,plain,
    ( $less(sK164(0.0),1.0)
    | spl255_161 ),
    inference(resolution,[],[f6972,f3921]) ).

tff(f3921,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | $less(X0,1.0) ),
    inference(superposition,[],[f3183,f462]) ).

tff(f462,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_145,[]) ).

tff(f3183,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(1.0,X0))
      | $less(X0,X1) ),
    inference(superposition,[],[f469,f460]) ).

tff(f460,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f469,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_155,[]) ).

tff(f6972,plain,
    ( ~ $less(0.0,sK164(0.0))
    | spl255_161 ),
    inference(avatar_component_clause,[],[f6971]) ).

tff(f6973,plain,
    ( ~ spl255_161
    | spl255_150 ),
    inference(avatar_split_clause,[],[f6961,f6225,f6971]) ).

tff(f6225,plain,
    ( spl255_150
  <=> $less(0.0,f3(f5(f20,0.0),0.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_150])]) ).

tff(f6961,plain,
    ( ~ $less(0.0,sK164(0.0))
    | spl255_150 ),
    inference(backward_demodulation,[],[f6226,f6937]) ).

tff(f6937,plain,
    ! [X0: $real] : ( f3(f5(f20,X0),X0) = sK164(X0) ),
    inference(forward_demodulation,[],[f1065,f1355]) ).

tff(f1355,plain,
    ! [X0: $real] : ( f8(f32(f33,X0),f13(f14,2)) = sK164(X0) ),
    inference(cnf_transformation,[],[f665]) ).

tff(f665,plain,
    ! [X0: $real] :
    ? [X1: $real] :
      ( ( f3(f19,X1) = X1 )
      & ( f8(f32(f33,X0),f13(f14,2)) = X1 ) ),
    inference(rectify,[],[f214]) ).

tff(f214,axiom,
    ! [X1: $real] :
    ? [X119: $real] :
      ( ( f3(f19,X119) = X119 )
      & ( f8(f32(f33,X1),f13(f14,2)) = X119 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1065,plain,
    ! [X0: $real] : ( f3(f5(f20,X0),X0) = f8(f32(f33,X0),f13(f14,2)) ),
    inference(cnf_transformation,[],[f602]) ).

tff(f602,plain,
    ! [X0: $real] : ( f3(f5(f20,X0),X0) = f8(f32(f33,X0),f13(f14,2)) ),
    inference(rectify,[],[f226]) ).

tff(f226,axiom,
    ! [X1: $real] : ( f3(f5(f20,X1),X1) = f8(f32(f33,X1),f13(f14,2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6226,plain,
    ( ~ $less(0.0,f3(f5(f20,0.0),0.0))
    | spl255_150 ),
    inference(avatar_component_clause,[],[f6225]) ).

tff(f6907,plain,
    spl255_160,
    inference(avatar_split_clause,[],[f6903,f6905]) ).

tff(f6903,plain,
    0.0 = f3(f4,f3(f5(f6,$product(2.0,f7)),sK228(f10))),
    inference(forward_demodulation,[],[f1064,f1530]) ).

tff(f1064,plain,
    f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = 0.0,
    inference(cnf_transformation,[],[f3]) ).

tff(f3,axiom,
    f3(f4,f3(f5(f6,$product(2.0,f7)),f8(f9,f10))) = 0.0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6882,plain,
    ( ~ spl255_159
    | ~ spl255_157 ),
    inference(avatar_split_clause,[],[f6846,f6762,f6880]) ).

tff(f6880,plain,
    ( spl255_159
  <=> $less(sK31(f13(f14,3)),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_159])]) ).

tff(f6762,plain,
    ( spl255_157
  <=> $less(0,sK31(f13(f14,3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_157])]) ).

tff(f6846,plain,
    ( ~ $less(sK31(f13(f14,3)),0)
    | ~ spl255_157 ),
    inference(resolution,[],[f6763,f4502]) ).

tff(f4502,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,X0)
      | ~ $less(X0,X1) ),
    inference(resolution,[],[f3338,f459]) ).

tff(f459,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_169,[]) ).

tff(f3338,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,$sum(X1,1))
      | ~ $less(X0,X1) ),
    inference(resolution,[],[f448,f3168]) ).

tff(f3168,plain,
    ! [X0: $int] : $less(X0,$sum(X0,1)),
    inference(resolution,[],[f451,f447]) ).

tff(f447,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_150,[]) ).

tff(f451,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_155,[]) ).

tff(f448,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | $less(X0,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_151,[]) ).

tff(f6763,plain,
    ( $less(0,sK31(f13(f14,3)))
    | ~ spl255_157 ),
    inference(avatar_component_clause,[],[f6762]) ).

tff(f6862,plain,
    ( ~ spl255_158
    | ~ spl255_157 ),
    inference(avatar_split_clause,[],[f6845,f6762,f6860]) ).

tff(f6860,plain,
    ( spl255_158
  <=> $less(sK31(f13(f14,3)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_158])]) ).

tff(f6845,plain,
    ( ~ $less(sK31(f13(f14,3)),1)
    | ~ spl255_157 ),
    inference(resolution,[],[f6763,f3359]) ).

tff(f3359,plain,
    ! [X0: $int] :
      ( ~ $less(0,X0)
      | ~ $less(X0,1) ),
    inference(superposition,[],[f3178,f444]) ).

tff(f444,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_145,[]) ).

tff(f3178,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(1,X0))
      | ~ $less(X0,X1) ),
    inference(superposition,[],[f459,f442]) ).

tff(f442,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f6764,plain,
    ( spl255_157
    | ~ spl255_149 ),
    inference(avatar_split_clause,[],[f6269,f6193,f6762]) ).

tff(f6193,plain,
    ( spl255_149
  <=> $less(0.0,sK228(f13(f14,3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_149])]) ).

tff(f6269,plain,
    ( $less(0,sK31(f13(f14,3)))
    | ~ spl255_149 ),
    inference(resolution,[],[f6194,f5420]) ).

tff(f5420,plain,
    ! [X0: 'S5'] :
      ( ~ $less(0.0,sK228(X0))
      | $less(0,sK31(X0)) ),
    inference(forward_demodulation,[],[f5419,f1530]) ).

tff(f5419,plain,
    ! [X0: 'S5'] :
      ( $less(0,sK31(X0))
      | ~ $less(0.0,f8(f9,X0)) ),
    inference(forward_demodulation,[],[f1526,f986]) ).

tff(f1526,plain,
    ! [X0: 'S5'] :
      ( $less(0,f11(f12,X0))
      | ~ $less(0.0,f8(f9,X0)) ),
    inference(cnf_transformation,[],[f590]) ).

tff(f590,plain,
    ! [X0: 'S5'] :
      ( $less(0,f11(f12,X0))
    <=> $less(0.0,f8(f9,X0)) ),
    inference(rectify,[],[f28]) ).

tff(f28,axiom,
    ! [X1: 'S5'] :
      ( $less(0,f11(f12,X1))
    <=> $less(0.0,f8(f9,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6194,plain,
    ( $less(0.0,sK228(f13(f14,3)))
    | ~ spl255_149 ),
    inference(avatar_component_clause,[],[f6193]) ).

tff(f6758,plain,
    ( ~ spl255_156
    | ~ spl255_109
    | ~ spl255_124 ),
    inference(avatar_split_clause,[],[f6754,f4252,f3776,f6756]) ).

tff(f6756,plain,
    ( spl255_156
  <=> $less(0.0,sK139(sK9(f7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_156])]) ).

tff(f3776,plain,
    ( spl255_109
  <=> $less(sK139(sK9(f7)),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_109])]) ).

tff(f4252,plain,
    ( spl255_124
  <=> ( -1.0 = sK5(sK139(sK9(f7))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_124])]) ).

tff(f6754,plain,
    ( ~ $less(0.0,sK139(sK9(f7)))
    | ~ spl255_109
    | ~ spl255_124 ),
    inference(subsumption_resolution,[],[f6752,f3777]) ).

tff(f3777,plain,
    ( $less(sK139(sK9(f7)),2.0)
    | ~ spl255_109 ),
    inference(avatar_component_clause,[],[f3776]) ).

tff(f6752,plain,
    ( ~ $less(sK139(sK9(f7)),2.0)
    | ~ $less(0.0,sK139(sK9(f7)))
    | ~ spl255_124 ),
    inference(evaluation,[],[f6747]) ).

tff(f6747,plain,
    ( $less(0.0,-1.0)
    | ~ $less(0.0,sK139(sK9(f7)))
    | ~ $less(sK139(sK9(f7)),2.0)
    | ~ spl255_124 ),
    inference(superposition,[],[f6736,f4253]) ).

tff(f4253,plain,
    ( ( -1.0 = sK5(sK139(sK9(f7))) )
    | ~ spl255_124 ),
    inference(avatar_component_clause,[],[f4252]) ).

tff(f6736,plain,
    ! [X0: $real] :
      ( $less(0.0,sK5(X0))
      | ~ $less(X0,2.0)
      | ~ $less(0.0,X0) ),
    inference(forward_demodulation,[],[f6735,f943]) ).

tff(f943,plain,
    ! [X0: $real] : ( 0.0 = sK14(X0) ),
    inference(cnf_transformation,[],[f866]) ).

tff(f866,plain,
    ! [X0: $real] :
    ? [X1: $real] :
      ( ( $less(X1,f3(f31,X0))
        | ~ $less(X0,2.0)
        | ~ $less(X1,X0) )
      & ( 0.0 = X1 ) ),
    inference(flattening,[],[f865]) ).

tff(f865,plain,
    ! [X0: $real] :
    ? [X1: $real] :
      ( ( 0.0 = X1 )
      & ( $less(X1,f3(f31,X0))
        | ~ $less(X0,2.0)
        | ~ $less(X1,X0) ) ),
    inference(ennf_transformation,[],[f657]) ).

tff(f657,plain,
    ! [X0: $real] :
    ? [X1: $real] :
      ( ( 0.0 = X1 )
      & ( $less(X1,X0)
       => ( $less(X0,2.0)
         => $less(X1,f3(f31,X0)) ) ) ),
    inference(rectify,[],[f159]) ).

tff(f159,axiom,
    ! [X1: $real] :
    ? [X88: $real] :
      ( ( $less(X88,X1)
       => ( $less(X1,2.0)
         => $less(X88,f3(f31,X1)) ) )
      & ( 0.0 = X88 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6735,plain,
    ! [X0: $real] :
      ( ~ $less(X0,2.0)
      | ~ $less(0.0,X0)
      | $less(sK14(X0),sK5(X0)) ),
    inference(forward_demodulation,[],[f6734,f943]) ).

tff(f6734,plain,
    ! [X0: $real] :
      ( ~ $less(sK14(X0),X0)
      | $less(sK14(X0),sK5(X0))
      | ~ $less(X0,2.0) ),
    inference(forward_demodulation,[],[f942,f925]) ).

tff(f925,plain,
    ! [X0: $real] : ( f3(f31,X0) = sK5(X0) ),
    inference(cnf_transformation,[],[f579]) ).

tff(f579,plain,
    ! [X0: $real] :
    ? [X2: $real,X1: $real] :
      ( ( f3(f31,X0) = X2 )
      & ( 1.0 = $sum(f3(f5(f20,X1),X1),f3(f5(f20,X2),X2)) )
      & ( f3(f4,X0) = X1 ) ),
    inference(rectify,[],[f177]) ).

tff(f177,axiom,
    ! [X1: $real] :
    ? [X96: $real,X97: $real] :
      ( ( f3(f31,X1) = X97 )
      & ( f3(f4,X1) = X96 )
      & ( 1.0 = $sum(f3(f5(f20,X96),X96),f3(f5(f20,X97),X97)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f942,plain,
    ! [X0: $real] :
      ( $less(sK14(X0),f3(f31,X0))
      | ~ $less(sK14(X0),X0)
      | ~ $less(X0,2.0) ),
    inference(cnf_transformation,[],[f866]) ).

tff(f6686,plain,
    ( spl255_155
    | ~ spl255_147 ),
    inference(avatar_split_clause,[],[f6264,f6176,f6475]) ).

tff(f6475,plain,
    ( spl255_155
  <=> ( 2 = sK34(f13(f14,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_155])]) ).

tff(f6176,plain,
    ( spl255_147
  <=> ( 1 = sK31(f13(f14,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_147])]) ).

tff(f6264,plain,
    ( ( 2 = sK34(f13(f14,1)) )
    | ~ spl255_147 ),
    inference(evaluation,[],[f6262]) ).

tff(f6262,plain,
    ( ( $product(2,1) = sK34(f13(f14,1)) )
    | ~ spl255_147 ),
    inference(superposition,[],[f3241,f6177]) ).

tff(f6177,plain,
    ( ( 1 = sK31(f13(f14,1)) )
    | ~ spl255_147 ),
    inference(avatar_component_clause,[],[f6176]) ).

tff(f6685,plain,
    ( spl255_154
    | ~ spl255_147 ),
    inference(avatar_split_clause,[],[f6263,f6176,f6462]) ).

tff(f6462,plain,
    ( spl255_154
  <=> ( 4 = sK183(f13(f14,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_154])]) ).

tff(f6263,plain,
    ( ( 4 = sK183(f13(f14,1)) )
    | ~ spl255_147 ),
    inference(evaluation,[],[f6261]) ).

tff(f6261,plain,
    ( ( $product(4,1) = sK183(f13(f14,1)) )
    | ~ spl255_147 ),
    inference(superposition,[],[f3327,f6177]) ).

tff(f3327,plain,
    ! [X0: 'S5'] : ( sK183(X0) = $product(4,sK31(X0)) ),
    inference(forward_demodulation,[],[f1410,f986]) ).

tff(f1410,plain,
    ! [X0: 'S5'] : ( $product(4,f11(f12,X0)) = sK183(X0) ),
    inference(cnf_transformation,[],[f808]) ).

tff(f808,plain,
    ! [X0: 'S5'] :
    ? [X1: $int] :
      ( ( ( f13(f14,X1) = f13(f14,$sum($sum(f11(f12,f13(f14,$sum(X1,$uminus(2)))),1),1)) )
        | ( f13(f14,0) = X0 ) )
      & ( $product(4,f11(f12,X0)) = X1 ) ),
    inference(ennf_transformation,[],[f704]) ).

tff(f704,plain,
    ! [X0: 'S5'] :
    ? [X1: $int] :
      ( ( ( f13(f14,0) != X0 )
       => ( f13(f14,X1) = f13(f14,$sum($sum(f11(f12,f13(f14,$sum(X1,$uminus(2)))),1),1)) ) )
      & ( $product(4,f11(f12,X0)) = X1 ) ),
    inference(rectify,[],[f419]) ).

tff(f419,plain,
    ! [X1: 'S5'] :
    ? [X111: $int] :
      ( ( ( f13(f14,0) != X1 )
       => ( f13(f14,X111) = f13(f14,$sum($sum(f11(f12,f13(f14,$sum(X111,$uminus(2)))),1),1)) ) )
      & ( $product(4,f11(f12,X1)) = X111 ) ),
    inference(theory_normalization,[],[f205]) ).

tff(f205,axiom,
    ! [X1: 'S5'] :
    ? [X111: $int] :
      ( ( ( f13(f14,0) != X1 )
       => ( f13(f14,$sum($sum(f11(f12,f13(f14,$difference(X111,2))),1),1)) = f13(f14,X111) ) )
      & ( $product(4,f11(f12,X1)) = X111 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6675,plain,
    ( spl255_152
    | ~ spl255_146 ),
    inference(avatar_split_clause,[],[f6251,f6009,f6303]) ).

tff(f6303,plain,
    ( spl255_152
  <=> ( 8 = sK183(f13(f14,2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_152])]) ).

tff(f6009,plain,
    ( spl255_146
  <=> ( 2 = sK31(f13(f14,2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_146])]) ).

tff(f6251,plain,
    ( ( 8 = sK183(f13(f14,2)) )
    | ~ spl255_146 ),
    inference(evaluation,[],[f6246]) ).

tff(f6246,plain,
    ( ( $product(4,2) = sK183(f13(f14,2)) )
    | ~ spl255_146 ),
    inference(superposition,[],[f3327,f6010]) ).

tff(f6010,plain,
    ( ( 2 = sK31(f13(f14,2)) )
    | ~ spl255_146 ),
    inference(avatar_component_clause,[],[f6009]) ).

tff(f6672,plain,
    ( spl255_153
    | ~ spl255_146 ),
    inference(avatar_split_clause,[],[f6249,f6009,f6342]) ).

tff(f6342,plain,
    ( spl255_153
  <=> ( 4 = sK34(f13(f14,2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_153])]) ).

tff(f6249,plain,
    ( ( 4 = sK34(f13(f14,2)) )
    | ~ spl255_146 ),
    inference(evaluation,[],[f6247]) ).

tff(f6247,plain,
    ( ( $product(2,2) = sK34(f13(f14,2)) )
    | ~ spl255_146 ),
    inference(superposition,[],[f3241,f6010]) ).

tff(f6477,plain,
    spl255_155,
    inference(avatar_split_clause,[],[f5513,f6475]) ).

tff(f5513,plain,
    2 = sK34(f13(f14,1)),
    inference(superposition,[],[f5092,f1600]) ).

tff(f6464,plain,
    spl255_154,
    inference(avatar_split_clause,[],[f5445,f6462]) ).

tff(f5445,plain,
    4 = sK183(f13(f14,1)),
    inference(superposition,[],[f5091,f1600]) ).

tff(f5091,plain,
    ! [X0: 'S5'] : ( 4 = sK183(sK127(X0)) ),
    inference(evaluation,[],[f5088]) ).

tff(f5088,plain,
    ! [X0: 'S5'] : ( sK183(sK127(X0)) = $product(4,1) ),
    inference(superposition,[],[f3327,f4945]) ).

tff(f6344,plain,
    spl255_153,
    inference(avatar_split_clause,[],[f5125,f6342]) ).

tff(f5125,plain,
    4 = sK34(f13(f14,2)),
    inference(superposition,[],[f4963,f1514]) ).

tff(f1514,plain,
    ! [X0: $real] : ( f13(f14,2) = sK224(X0) ),
    inference(cnf_transformation,[],[f715]) ).

tff(f715,plain,
    ! [X0: $real] :
    ? [X1: 'S5'] :
      ( ( f13(f14,2) = X1 )
      & ( f8(f32(f33,f3(f4,X0)),X1) = $sum(1.0,$uminus(f8(f32(f33,f3(f31,X0)),X1))) ) ),
    inference(rectify,[],[f422]) ).

tff(f422,plain,
    ! [X1: $real] :
    ? [X85: 'S5'] :
      ( ( f13(f14,2) = X85 )
      & ( f8(f32(f33,f3(f4,X1)),X85) = $sum(1.0,$uminus(f8(f32(f33,f3(f31,X1)),X85))) ) ),
    inference(theory_normalization,[],[f156]) ).

tff(f156,axiom,
    ! [X1: $real] :
    ? [X85: 'S5'] :
      ( ( f13(f14,2) = X85 )
      & ( f8(f32(f33,f3(f4,X1)),X85) = $difference(1.0,f8(f32(f33,f3(f31,X1)),X85)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4963,plain,
    ! [X0: $real] : ( 4 = sK34(sK224(X0)) ),
    inference(evaluation,[],[f4960]) ).

tff(f4960,plain,
    ! [X0: $real] : ( sK34(sK224(X0)) = $product(2,2) ),
    inference(superposition,[],[f3241,f4937]) ).

tff(f4937,plain,
    ! [X0: $real] : ( 2 = sK31(sK224(X0)) ),
    inference(evaluation,[],[f4932]) ).

tff(f4932,plain,
    ! [X0: $real] :
      ( $less(2,0)
      | ( 2 = sK31(sK224(X0)) ) ),
    inference(superposition,[],[f4923,f1514]) ).

tff(f6305,plain,
    spl255_152,
    inference(avatar_split_clause,[],[f5114,f6303]) ).

tff(f5114,plain,
    8 = sK183(f13(f14,2)),
    inference(superposition,[],[f4962,f1514]) ).

tff(f4962,plain,
    ! [X0: $real] : ( 8 = sK183(sK224(X0)) ),
    inference(evaluation,[],[f4959]) ).

tff(f4959,plain,
    ! [X0: $real] : ( sK183(sK224(X0)) = $product(4,2) ),
    inference(superposition,[],[f3327,f4937]) ).

tff(f6231,plain,
    spl255_151,
    inference(avatar_split_clause,[],[f5923,f6229]) ).

tff(f6229,plain,
    ( spl255_151
  <=> $less(0.0,sK228(f13(f14,2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_151])]) ).

tff(f5923,plain,
    $less(0.0,sK228(f13(f14,2))),
    inference(evaluation,[],[f5905]) ).

tff(f5905,plain,
    $less(0.0,sK228(f13(f14,$sum(1,1)))),
    inference(superposition,[],[f5894,f4945]) ).

tff(f5894,plain,
    ! [X0: 'S5'] : $less(0.0,sK228(f13(f14,$sum(1,sK31(X0))))),
    inference(forward_demodulation,[],[f5893,f986]) ).

tff(f5893,plain,
    ! [X0: 'S5'] : $less(0.0,sK228(f13(f14,$sum(1,f11(f12,X0))))),
    inference(forward_demodulation,[],[f5892,f442]) ).

tff(f5892,plain,
    ! [X0: 'S5'] : $less(0.0,sK228(f13(f14,$sum(f11(f12,X0),1)))),
    inference(forward_demodulation,[],[f1243,f1530]) ).

tff(f1243,plain,
    ! [X0: 'S5'] : $less(0.0,f8(f9,f13(f14,$sum(f11(f12,X0),1)))),
    inference(cnf_transformation,[],[f623]) ).

tff(f623,plain,
    ! [X0: 'S5'] : $less(0.0,f8(f9,f13(f14,$sum(f11(f12,X0),1)))),
    inference(rectify,[],[f35]) ).

tff(f35,axiom,
    ! [X1: 'S5'] : $less(0.0,f8(f9,f13(f14,$sum(f11(f12,X1),1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6227,plain,
    ~ spl255_150,
    inference(avatar_split_clause,[],[f6222,f6225]) ).

tff(f6222,plain,
    ~ $less(0.0,f3(f5(f20,0.0),0.0)),
    inference(gaussian_variable_elimination,[],[f6221]) ).

tff(f6221,plain,
    ! [X0: $real] :
      ( ( 0.0 != X0 )
      | ~ $less(0.0,f3(f5(f20,X0),X0)) ),
    inference(forward_demodulation,[],[f6220,f1466]) ).

tff(f1466,plain,
    ! [X0: $real] : ( 0.0 = sK203(X0) ),
    inference(cnf_transformation,[],[f492]) ).

tff(f492,plain,
    ! [X0: $real] :
    ? [X1: $real] :
      ( ( 0.0 = X1 )
      & ( ~ $less(X1,f3(f5(f20,X0),X0))
      <=> ( X0 = X1 ) ) ),
    inference(rectify,[],[f104]) ).

tff(f104,axiom,
    ! [X1: $real] :
    ? [X42: $real] :
      ( ( 0.0 = X42 )
      & ( ~ $less(X42,f3(f5(f20,X1),X1))
      <=> ( X1 = X42 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6220,plain,
    ! [X0: $real] :
      ( ~ $less(sK203(X0),f3(f5(f20,X0),X0))
      | ( 0.0 != X0 ) ),
    inference(forward_demodulation,[],[f1464,f1466]) ).

tff(f1464,plain,
    ! [X0: $real] :
      ( ( sK203(X0) != X0 )
      | ~ $less(sK203(X0),f3(f5(f20,X0),X0)) ),
    inference(cnf_transformation,[],[f492]) ).

tff(f6195,plain,
    spl255_149,
    inference(avatar_split_clause,[],[f5913,f6193]) ).

tff(f5913,plain,
    $less(0.0,sK228(f13(f14,3))),
    inference(evaluation,[],[f5908]) ).

tff(f5908,plain,
    $less(0.0,sK228(f13(f14,$sum(1,2)))),
    inference(superposition,[],[f5894,f4938]) ).

tff(f4938,plain,
    ! [X0: $real] : ( 2 = sK31(sK166(X0)) ),
    inference(evaluation,[],[f4928]) ).

tff(f4928,plain,
    ! [X0: $real] :
      ( ( 2 = sK31(sK166(X0)) )
      | $less(2,0) ),
    inference(superposition,[],[f4923,f1363]) ).

tff(f1363,plain,
    ! [X0: $real] : ( f13(f14,2) = sK166(X0) ),
    inference(cnf_transformation,[],[f685]) ).

tff(f685,plain,
    ! [X0: $real] :
    ? [X1: 'S5'] :
      ( ( f13(f14,2) = X1 )
      & ( $product(4.0,f8(f32(f33,X0),X1)) = f8(f32(f33,$product(2.0,X0)),X1) ) ),
    inference(rectify,[],[f168]) ).

tff(f168,axiom,
    ! [X1: $real] :
    ? [X94: 'S5'] :
      ( ( $product(4.0,f8(f32(f33,X1),X94)) = f8(f32(f33,$product(2.0,X1)),X94) )
      & ( f13(f14,2) = X94 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f6182,plain,
    ( spl255_148
    | ~ spl255_59 ),
    inference(avatar_split_clause,[],[f5461,f3243,f6180]) ).

tff(f6180,plain,
    ( spl255_148
  <=> $less(0,sK31(f13(f14,1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_148])]) ).

tff(f3243,plain,
    ( spl255_59
  <=> ( 1.0 = sK228(f13(f14,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_59])]) ).

tff(f5461,plain,
    ( $less(0,sK31(f13(f14,1)))
    | ~ spl255_59 ),
    inference(evaluation,[],[f5457]) ).

tff(f5457,plain,
    ( $less(0,sK31(f13(f14,1)))
    | ~ $less(0.0,1.0)
    | ~ spl255_59 ),
    inference(superposition,[],[f5420,f3244]) ).

tff(f3244,plain,
    ( ( 1.0 = sK228(f13(f14,1)) )
    | ~ spl255_59 ),
    inference(avatar_component_clause,[],[f3243]) ).

tff(f6178,plain,
    spl255_147,
    inference(avatar_split_clause,[],[f5086,f6176]) ).

tff(f5086,plain,
    1 = sK31(f13(f14,1)),
    inference(superposition,[],[f4945,f1600]) ).

tff(f6011,plain,
    spl255_146,
    inference(avatar_split_clause,[],[f4947,f6009]) ).

tff(f4947,plain,
    2 = sK31(f13(f14,2)),
    inference(superposition,[],[f4937,f1514]) ).

tff(f5992,plain,
    ( ~ spl255_145
    | ~ spl255_141 ),
    inference(avatar_split_clause,[],[f5965,f5939,f5990]) ).

tff(f5990,plain,
    ( spl255_145
  <=> $less(sK31(sK86(1.0)),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_145])]) ).

tff(f5939,plain,
    ( spl255_141
  <=> $less(0,sK31(sK86(1.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_141])]) ).

tff(f5965,plain,
    ( ~ $less(sK31(sK86(1.0)),0)
    | ~ spl255_141 ),
    inference(resolution,[],[f5940,f4502]) ).

tff(f5940,plain,
    ( $less(0,sK31(sK86(1.0)))
    | ~ spl255_141 ),
    inference(avatar_component_clause,[],[f5939]) ).

tff(f5976,plain,
    ( ~ spl255_144
    | ~ spl255_141 ),
    inference(avatar_split_clause,[],[f5964,f5939,f5974]) ).

tff(f5974,plain,
    ( spl255_144
  <=> $less(sK31(sK86(1.0)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_144])]) ).

tff(f5964,plain,
    ( ~ $less(sK31(sK86(1.0)),1)
    | ~ spl255_141 ),
    inference(resolution,[],[f5940,f3359]) ).

tff(f5962,plain,
    ( ~ spl255_143
    | ~ spl255_137 ),
    inference(avatar_split_clause,[],[f5509,f5471,f5960]) ).

tff(f5960,plain,
    ( spl255_143
  <=> $less(sK31(sK16(0.0)),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_143])]) ).

tff(f5471,plain,
    ( spl255_137
  <=> $less(0,sK31(sK16(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_137])]) ).

tff(f5509,plain,
    ( ~ $less(sK31(sK16(0.0)),0)
    | ~ spl255_137 ),
    inference(resolution,[],[f5472,f4502]) ).

tff(f5472,plain,
    ( $less(0,sK31(sK16(0.0)))
    | ~ spl255_137 ),
    inference(avatar_component_clause,[],[f5471]) ).

tff(f5953,plain,
    ( ~ spl255_142
    | ~ spl255_136 ),
    inference(avatar_split_clause,[],[f5477,f5467,f5951]) ).

tff(f5951,plain,
    ( spl255_142
  <=> $less(sK31(sK86(0.0)),0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_142])]) ).

tff(f5467,plain,
    ( spl255_136
  <=> $less(0,sK31(sK86(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_136])]) ).

tff(f5477,plain,
    ( ~ $less(sK31(sK86(0.0)),0)
    | ~ spl255_136 ),
    inference(resolution,[],[f5468,f4502]) ).

tff(f5468,plain,
    ( $less(0,sK31(sK86(0.0)))
    | ~ spl255_136 ),
    inference(avatar_component_clause,[],[f5467]) ).

tff(f5941,plain,
    spl255_141,
    inference(avatar_split_clause,[],[f5460,f5939]) ).

tff(f5460,plain,
    $less(0,sK31(sK86(1.0))),
    inference(evaluation,[],[f5451]) ).

tff(f5451,plain,
    $less(0,sK31(sK86($sum(0.0,1.0)))),
    inference(resolution,[],[f5420,f4107]) ).

tff(f4107,plain,
    ! [X0: $real] : $less(X0,sK228(sK86($sum(X0,1.0)))),
    inference(resolution,[],[f4103,f469]) ).

tff(f4103,plain,
    ! [X0: $real] : ~ $less(sK228(sK86(X0)),X0),
    inference(resolution,[],[f3376,f465]) ).

tff(f465,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_150,[]) ).

tff(f3376,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,sK228(sK86(X1)))
      | ~ $less(X0,X1) ),
    inference(resolution,[],[f466,f2188]) ).

tff(f2188,plain,
    ! [X0: $real] : $less(X0,sK228(sK86(X0))),
    inference(backward_demodulation,[],[f1130,f1530]) ).

tff(f1130,plain,
    ! [X0: $real] : $less(X0,f8(f9,sK86(X0))),
    inference(cnf_transformation,[],[f776]) ).

tff(f776,plain,
    ! [X0: $real] :
    ? [X1: 'S5'] : $less(X0,f8(f9,X1)),
    inference(rectify,[],[f124]) ).

tff(f124,axiom,
    ! [X1: $real] :
    ? [X5: 'S5'] : $less(X1,f8(f9,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f466,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_151,[]) ).

tff(f5928,plain,
    ( ~ spl255_140
    | ~ spl255_137 ),
    inference(avatar_split_clause,[],[f5508,f5471,f5926]) ).

tff(f5926,plain,
    ( spl255_140
  <=> $less(sK31(sK16(0.0)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_140])]) ).

tff(f5508,plain,
    ( ~ $less(sK31(sK16(0.0)),1)
    | ~ spl255_137 ),
    inference(resolution,[],[f5472,f3359]) ).

tff(f5898,plain,
    ( ~ spl255_139
    | ~ spl255_136 ),
    inference(avatar_split_clause,[],[f5476,f5467,f5896]) ).

tff(f5896,plain,
    ( spl255_139
  <=> $less(sK31(sK86(0.0)),1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_139])]) ).

tff(f5476,plain,
    ( ~ $less(sK31(sK86(0.0)),1)
    | ~ spl255_136 ),
    inference(resolution,[],[f5468,f3359]) ).

tff(f5692,plain,
    ( spl255_138
    | ~ spl255_137 ),
    inference(avatar_split_clause,[],[f5507,f5471,f5690]) ).

tff(f5690,plain,
    ( spl255_138
  <=> $less(0.0,sK228(sK16(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_138])]) ).

tff(f5507,plain,
    ( $less(0.0,sK228(sK16(0.0)))
    | ~ spl255_137 ),
    inference(resolution,[],[f5472,f5475]) ).

tff(f5475,plain,
    ! [X0: 'S5'] :
      ( ~ $less(0,sK31(X0))
      | $less(0.0,sK228(X0)) ),
    inference(forward_demodulation,[],[f5474,f1530]) ).

tff(f5474,plain,
    ! [X0: 'S5'] :
      ( ~ $less(0,sK31(X0))
      | $less(0.0,f8(f9,X0)) ),
    inference(forward_demodulation,[],[f1527,f986]) ).

tff(f1527,plain,
    ! [X0: 'S5'] :
      ( ~ $less(0,f11(f12,X0))
      | $less(0.0,f8(f9,X0)) ),
    inference(cnf_transformation,[],[f590]) ).

tff(f5473,plain,
    spl255_137,
    inference(avatar_split_clause,[],[f5462,f5471]) ).

tff(f5462,plain,
    $less(0,sK31(sK16(0.0))),
    inference(evaluation,[],[f5453]) ).

tff(f5453,plain,
    ( $less(0,sK31(sK16(0.0)))
    | $less(0.0,0.0) ),
    inference(resolution,[],[f5420,f3438]) ).

tff(f3438,plain,
    ! [X0: $real] :
      ( $less(X0,sK228(sK16(X0)))
      | $less(X0,0.0) ),
    inference(forward_demodulation,[],[f946,f1530]) ).

tff(f946,plain,
    ! [X0: $real] :
      ( $less(X0,0.0)
      | $less(X0,f8(f9,sK16(X0))) ),
    inference(cnf_transformation,[],[f888]) ).

tff(f888,plain,
    ! [X0: $real] :
      ( $less(X0,0.0)
      | ? [X1: 'S5'] :
          ( ~ $less(X0,f8(f9,f13(f14,$sum(f11(f12,X1),$uminus(1)))))
          & $less(X0,f8(f9,X1)) ) ),
    inference(ennf_transformation,[],[f542]) ).

tff(f542,plain,
    ! [X0: $real] :
      ( ~ $less(X0,0.0)
     => ? [X1: 'S5'] :
          ( ~ $less(X0,f8(f9,f13(f14,$sum(f11(f12,X1),$uminus(1)))))
          & $less(X0,f8(f9,X1)) ) ),
    inference(rectify,[],[f378]) ).

tff(f378,plain,
    ! [X1: $real] :
      ( ~ $less(X1,0.0)
     => ? [X5: 'S5'] :
          ( $less(X1,f8(f9,X5))
          & ~ $less(X1,f8(f9,f13(f14,$sum(f11(f12,X5),$uminus(1))))) ) ),
    inference(theory_normalization,[],[f126]) ).

tff(f126,axiom,
    ! [X1: $real] :
      ( $lesseq(0.0,X1)
     => ? [X5: 'S5'] :
          ( $less(X1,f8(f9,X5))
          & $lesseq(f8(f9,f13(f14,$difference(f11(f12,X5),1))),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f5469,plain,
    spl255_136,
    inference(avatar_split_clause,[],[f5449,f5467]) ).

tff(f5449,plain,
    $less(0,sK31(sK86(0.0))),
    inference(resolution,[],[f5420,f2188]) ).

tff(f4861,plain,
    ( spl255_135
    | ~ spl255_121 ),
    inference(avatar_split_clause,[],[f4640,f4211,f4753]) ).

tff(f4753,plain,
    ( spl255_135
  <=> $less(0.0,sK145(sK149(0.0),2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_135])]) ).

tff(f4211,plain,
    ( spl255_121
  <=> ( 0.0 = sK228(sK149(0.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_121])]) ).

tff(f4640,plain,
    ( $less(0.0,sK145(sK149(0.0),2.0))
    | ~ spl255_121 ),
    inference(superposition,[],[f4627,f4212]) ).

tff(f4212,plain,
    ( ( 0.0 = sK228(sK149(0.0)) )
    | ~ spl255_121 ),
    inference(avatar_component_clause,[],[f4211]) ).

tff(f4627,plain,
    ! [X0: 'S5'] : $less(sK228(X0),sK145(X0,2.0)),
    inference(backward_demodulation,[],[f4241,f4611]) ).

tff(f4241,plain,
    ! [X0: 'S5'] : $less(sK228(X0),sK230(X0,2.0)),
    inference(backward_demodulation,[],[f4105,f1534]) ).

tff(f4105,plain,
    ! [X0: 'S5'] : $less(sK228(X0),f8(f32(f33,2.0),X0)),
    inference(forward_demodulation,[],[f1381,f1530]) ).

tff(f1381,plain,
    ! [X0: 'S5'] : $less(f8(f9,X0),f8(f32(f33,2.0),X0)),
    inference(cnf_transformation,[],[f748]) ).

tff(f748,plain,
    ! [X0: 'S5'] : $less(f8(f9,X0),f8(f32(f33,2.0),X0)),
    inference(rectify,[],[f151]) ).

tff(f151,axiom,
    ! [X1: 'S5'] : $less(f8(f9,X1),f8(f32(f33,2.0),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4755,plain,
    ( spl255_135
    | ~ spl255_126 ),
    inference(avatar_split_clause,[],[f4630,f4326,f4753]) ).

tff(f4326,plain,
    ( spl255_126
  <=> $less(0.0,sK230(sK149(0.0),2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_126])]) ).

tff(f4630,plain,
    ( $less(0.0,sK145(sK149(0.0),2.0))
    | ~ spl255_126 ),
    inference(backward_demodulation,[],[f4327,f4611]) ).

tff(f4327,plain,
    ( $less(0.0,sK230(sK149(0.0),2.0))
    | ~ spl255_126 ),
    inference(avatar_component_clause,[],[f4326]) ).

tff(f4477,plain,
    ( spl255_134
    | ~ spl255_129 ),
    inference(avatar_split_clause,[],[f4394,f4365,f4472]) ).

tff(f4472,plain,
    ( spl255_134
  <=> ( sK6(sK5(1.0)) = sK6(sK5(-1.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_134])]) ).

tff(f4365,plain,
    ( spl255_129
  <=> ( sK5(1.0) = sK139(sK5(-1.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_129])]) ).

tff(f4394,plain,
    ( ( sK6(sK5(1.0)) = sK6(sK5(-1.0)) )
    | ~ spl255_129 ),
    inference(superposition,[],[f3304,f4366]) ).

tff(f4366,plain,
    ( ( sK5(1.0) = sK139(sK5(-1.0)) )
    | ~ spl255_129 ),
    inference(avatar_component_clause,[],[f4365]) ).

tff(f3304,plain,
    ! [X0: $real] : ( sK6(X0) = sK6(sK139(X0)) ),
    inference(superposition,[],[f3299,f923]) ).

tff(f923,plain,
    ! [X0: $real] : ( f3(f4,X0) = sK6(X0) ),
    inference(cnf_transformation,[],[f579]) ).

tff(f3299,plain,
    ! [X0: $real] : ( sK6(X0) = f3(f4,sK139(X0)) ),
    inference(forward_demodulation,[],[f3298,f923]) ).

tff(f3298,plain,
    ! [X0: $real] : ( f3(f4,X0) = f3(f4,sK139(X0)) ),
    inference(forward_demodulation,[],[f1292,f1268]) ).

tff(f1268,plain,
    ! [X0: $real] : ( $uminus(X0) = sK139(X0) ),
    inference(cnf_transformation,[],[f489]) ).

tff(f489,plain,
    ! [X0: $real] :
    ? [X1: 'S5',X2: $real] :
      ( ( $uminus(X0) = X2 )
      & ( f13(f14,2) = X1 )
      & ( 0.0 = $sum(f8(f32(f33,$sum(f3(f31,X2),f3(f31,X0))),X1),f8(f32(f33,$sum(f3(f4,X2),$uminus(f3(f4,X0)))),X1)) ) ),
    inference(rectify,[],[f363]) ).

tff(f363,plain,
    ! [X1: $real] :
    ? [X80: 'S5',X81: $real] :
      ( ( $uminus(X1) = X81 )
      & ( 0.0 = $sum(f8(f32(f33,$sum(f3(f31,X81),f3(f31,X1))),X80),f8(f32(f33,$sum(f3(f4,X81),$uminus(f3(f4,X1)))),X80)) )
      & ( f13(f14,2) = X80 ) ),
    inference(theory_normalization,[],[f152]) ).

tff(f152,axiom,
    ! [X1: $real] :
    ? [X80: 'S5',X81: $real] :
      ( ( $uminus(X1) = X81 )
      & ( 0.0 = $sum(f8(f32(f33,$sum(f3(f31,X81),f3(f31,X1))),X80),f8(f32(f33,$difference(f3(f4,X81),f3(f4,X1))),X80)) )
      & ( f13(f14,2) = X80 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1292,plain,
    ! [X0: $real] : ( f3(f4,X0) = f3(f4,$uminus(X0)) ),
    inference(cnf_transformation,[],[f683]) ).

tff(f683,plain,
    ! [X0: $real] : ( f3(f4,X0) = f3(f4,$uminus(X0)) ),
    inference(rectify,[],[f40]) ).

tff(f40,axiom,
    ! [X1: $real] : ( f3(f4,X1) = f3(f4,$uminus(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4476,plain,
    ( spl255_132
    | ~ spl255_129 ),
    inference(avatar_split_clause,[],[f4392,f4365,f4464]) ).

tff(f4464,plain,
    ( spl255_132
  <=> ( 0.0 = $sum(sK5(1.0),sK5(-1.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_132])]) ).

tff(f4392,plain,
    ( ( 0.0 = $sum(sK5(1.0),sK5(-1.0)) )
    | ~ spl255_129 ),
    inference(superposition,[],[f2268,f4366]) ).

tff(f2268,plain,
    ! [X0: $real] : ( 0.0 = $sum(sK139(X0),X0) ),
    inference(superposition,[],[f1751,f1740]) ).

tff(f1740,plain,
    ! [X0: $real] : ( sK139(sK139(X0)) = X0 ),
    inference(superposition,[],[f1713,f1268]) ).

tff(f1713,plain,
    ! [X0: $real] : ( $uminus(sK139(X0)) = X0 ),
    inference(backward_demodulation,[],[f470,f1268]) ).

tff(f470,plain,
    ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_156,[]) ).

tff(f1751,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,sK139(X0)) ),
    inference(forward_demodulation,[],[f464,f1268]) ).

tff(f464,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_148,[]) ).

tff(f4475,plain,
    ( spl255_133
    | ~ spl255_129 ),
    inference(avatar_split_clause,[],[f4391,f4365,f4468]) ).

tff(f4468,plain,
    ( spl255_133
  <=> ( 0.0 = $sum(sK5(-1.0),sK5(1.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_133])]) ).

tff(f4391,plain,
    ( ( 0.0 = $sum(sK5(-1.0),sK5(1.0)) )
    | ~ spl255_129 ),
    inference(superposition,[],[f1751,f4366]) ).

tff(f4474,plain,
    ( spl255_134
    | ~ spl255_127 ),
    inference(avatar_split_clause,[],[f4380,f4330,f4472]) ).

tff(f4330,plain,
    ( spl255_127
  <=> ( sK5(-1.0) = sK139(sK5(1.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_127])]) ).

tff(f4380,plain,
    ( ( sK6(sK5(1.0)) = sK6(sK5(-1.0)) )
    | ~ spl255_127 ),
    inference(superposition,[],[f3304,f4331]) ).

tff(f4331,plain,
    ( ( sK5(-1.0) = sK139(sK5(1.0)) )
    | ~ spl255_127 ),
    inference(avatar_component_clause,[],[f4330]) ).

tff(f4470,plain,
    ( spl255_133
    | ~ spl255_127 ),
    inference(avatar_split_clause,[],[f4378,f4330,f4468]) ).

tff(f4378,plain,
    ( ( 0.0 = $sum(sK5(-1.0),sK5(1.0)) )
    | ~ spl255_127 ),
    inference(superposition,[],[f2268,f4331]) ).

tff(f4466,plain,
    ( spl255_132
    | ~ spl255_127 ),
    inference(avatar_split_clause,[],[f4377,f4330,f4464]) ).

tff(f4377,plain,
    ( ( 0.0 = $sum(sK5(1.0),sK5(-1.0)) )
    | ~ spl255_127 ),
    inference(superposition,[],[f1751,f4331]) ).

tff(f4446,plain,
    ( spl255_131
    | ~ spl255_52 ),
    inference(avatar_split_clause,[],[f4248,f3198,f4444]) ).

tff(f3198,plain,
    ( spl255_52
  <=> ( 0.0 = sK228(f13(f14,0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_52])]) ).

tff(f4248,plain,
    ( $less(0.0,sK230(f13(f14,0),2.0))
    | ~ spl255_52 ),
    inference(superposition,[],[f4241,f3199]) ).

tff(f3199,plain,
    ( ( 0.0 = sK228(f13(f14,0)) )
    | ~ spl255_52 ),
    inference(avatar_component_clause,[],[f3198]) ).

tff(f4371,plain,
    ( spl255_130
    | ~ spl255_43 ),
    inference(avatar_split_clause,[],[f4304,f3106,f4369]) ).

tff(f4369,plain,
    ( spl255_130
  <=> ( sK5(1.0) = $uminus(sK5(-1.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_130])]) ).

tff(f3106,plain,
    ( spl255_43
  <=> ( -1.0 = sK139(1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_43])]) ).

tff(f4304,plain,
    ( ( sK5(1.0) = $uminus(sK5(-1.0)) )
    | ~ spl255_43 ),
    inference(superposition,[],[f4014,f3107]) ).

tff(f3107,plain,
    ( ( -1.0 = sK139(1.0) )
    | ~ spl255_43 ),
    inference(avatar_component_clause,[],[f3106]) ).

tff(f4014,plain,
    ! [X0: $real] : ( sK5(X0) = $uminus(sK5(sK139(X0))) ),
    inference(superposition,[],[f1713,f3984]) ).

tff(f3984,plain,
    ! [X0: $real] : ( sK5(sK139(X0)) = sK139(sK5(X0)) ),
    inference(superposition,[],[f3980,f1268]) ).

tff(f3980,plain,
    ! [X0: $real] : ( sK5(sK139(X0)) = $uminus(sK5(X0)) ),
    inference(forward_demodulation,[],[f3979,f925]) ).

tff(f3979,plain,
    ! [X0: $real] : ( $uminus(f3(f31,X0)) = sK5(sK139(X0)) ),
    inference(forward_demodulation,[],[f3978,f1268]) ).

tff(f3978,plain,
    ! [X0: $real] : ( $uminus(f3(f31,X0)) = sK5($uminus(X0)) ),
    inference(forward_demodulation,[],[f1261,f925]) ).

tff(f1261,plain,
    ! [X0: $real] : ( $uminus(f3(f31,X0)) = f3(f31,$uminus(X0)) ),
    inference(cnf_transformation,[],[f687]) ).

tff(f687,plain,
    ! [X0: $real] : ( $uminus(f3(f31,X0)) = f3(f31,$uminus(X0)) ),
    inference(rectify,[],[f162]) ).

tff(f162,axiom,
    ! [X1: $real] : ( $uminus(f3(f31,X1)) = f3(f31,$uminus(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4367,plain,
    ( spl255_129
    | ~ spl255_43 ),
    inference(avatar_split_clause,[],[f4303,f3106,f4365]) ).

tff(f4303,plain,
    ( ( sK5(1.0) = sK139(sK5(-1.0)) )
    | ~ spl255_43 ),
    inference(superposition,[],[f4013,f3107]) ).

tff(f4013,plain,
    ! [X0: $real] : ( sK5(X0) = sK139(sK5(sK139(X0))) ),
    inference(superposition,[],[f1740,f3984]) ).

tff(f4336,plain,
    ( spl255_128
    | ~ spl255_42 ),
    inference(avatar_split_clause,[],[f4281,f3097,f4334]) ).

tff(f4334,plain,
    ( spl255_128
  <=> ( sK5(-1.0) = $uminus(sK5(1.0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_128])]) ).

tff(f3097,plain,
    ( spl255_42
  <=> ( 1.0 = sK139(-1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_42])]) ).

tff(f4281,plain,
    ( ( sK5(-1.0) = $uminus(sK5(1.0)) )
    | ~ spl255_42 ),
    inference(superposition,[],[f4014,f3098]) ).

tff(f3098,plain,
    ( ( 1.0 = sK139(-1.0) )
    | ~ spl255_42 ),
    inference(avatar_component_clause,[],[f3097]) ).

tff(f4332,plain,
    ( spl255_127
    | ~ spl255_42 ),
    inference(avatar_split_clause,[],[f4280,f3097,f4330]) ).

tff(f4280,plain,
    ( ( sK5(-1.0) = sK139(sK5(1.0)) )
    | ~ spl255_42 ),
    inference(superposition,[],[f4013,f3098]) ).

tff(f4328,plain,
    ( spl255_126
    | ~ spl255_121 ),
    inference(avatar_split_clause,[],[f4250,f4211,f4326]) ).

tff(f4250,plain,
    ( $less(0.0,sK230(sK149(0.0),2.0))
    | ~ spl255_121 ),
    inference(superposition,[],[f4241,f4212]) ).

tff(f4314,plain,
    ( spl255_125
    | ~ spl255_43
    | ~ spl255_117 ),
    inference(avatar_split_clause,[],[f4296,f4116,f3106,f4312]) ).

tff(f4312,plain,
    ( spl255_125
  <=> $less(-1.0,sK228(sK86(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_125])]) ).

tff(f4116,plain,
    ( spl255_117
  <=> $less(sK139(1.0),sK228(sK86(0.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_117])]) ).

tff(f4296,plain,
    ( $less(-1.0,sK228(sK86(0.0)))
    | ~ spl255_43
    | ~ spl255_117 ),
    inference(backward_demodulation,[],[f4117,f3107]) ).

tff(f4117,plain,
    ( $less(sK139(1.0),sK228(sK86(0.0)))
    | ~ spl255_117 ),
    inference(avatar_component_clause,[],[f4116]) ).

tff(f4273,plain,
    ( spl255_42
    | ~ spl255_123
    | ~ spl255_124 ),
    inference(avatar_split_clause,[],[f4270,f4252,f4228,f3097]) ).

tff(f4228,plain,
    ( spl255_123
  <=> ( 1.0 = sK5(sK9(f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_123])]) ).

tff(f4270,plain,
    ( ( 1.0 = sK139(-1.0) )
    | ~ spl255_123
    | ~ spl255_124 ),
    inference(forward_demodulation,[],[f4260,f4229]) ).

tff(f4229,plain,
    ( ( 1.0 = sK5(sK9(f7)) )
    | ~ spl255_123 ),
    inference(avatar_component_clause,[],[f4228]) ).

tff(f4260,plain,
    ( ( sK139(-1.0) = sK5(sK9(f7)) )
    | ~ spl255_124 ),
    inference(superposition,[],[f4013,f4253]) ).

tff(f4254,plain,
    ( spl255_124
    | ~ spl255_123 ),
    inference(avatar_split_clause,[],[f4237,f4228,f4252]) ).

tff(f4237,plain,
    ( ( -1.0 = sK5(sK139(sK9(f7))) )
    | ~ spl255_123 ),
    inference(evaluation,[],[f4235]) ).

tff(f4235,plain,
    ( ( $uminus(1.0) = sK5(sK139(sK9(f7))) )
    | ~ spl255_123 ),
    inference(superposition,[],[f3980,f4229]) ).

tff(f4230,plain,
    ( spl255_123
    | ~ spl255_122 ),
    inference(avatar_split_clause,[],[f4225,f4222,f4228]) ).

tff(f4222,plain,
    ( spl255_122
  <=> ( 1.0 = f3(f31,sK9(f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_122])]) ).

tff(f4225,plain,
    ( ( 1.0 = sK5(sK9(f7)) )
    | ~ spl255_122 ),
    inference(superposition,[],[f4223,f925]) ).

tff(f4223,plain,
    ( ( 1.0 = f3(f31,sK9(f7)) )
    | ~ spl255_122 ),
    inference(avatar_component_clause,[],[f4222]) ).

tff(f4224,plain,
    spl255_122,
    inference(avatar_split_clause,[],[f4220,f4222]) ).

tff(f4220,plain,
    1.0 = f3(f31,sK9(f7)),
    inference(forward_demodulation,[],[f1486,f930]) ).

tff(f1486,plain,
    1.0 = f3(f31,f3(f5(f6,f7),2.0)),
    inference(cnf_transformation,[],[f182]) ).

tff(f182,axiom,
    1.0 = f3(f31,f3(f5(f6,f7),2.0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4213,plain,
    spl255_121,
    inference(avatar_split_clause,[],[f4208,f4211]) ).

tff(f4208,plain,
    0.0 = sK228(sK149(0.0)),
    inference(evaluation,[],[f4204]) ).

tff(f4204,plain,
    ( ( 0.0 = sK228(sK149(0.0)) )
    | $less(0.0,0.0) ),
    inference(resolution,[],[f3415,f4022]) ).

tff(f4022,plain,
    ! [X0: $real] :
      ( ~ $less(X0,sK228(sK149(X0)))
      | $less(X0,0.0) ),
    inference(forward_demodulation,[],[f1309,f1530]) ).

tff(f1309,plain,
    ! [X0: $real] :
      ( $less(X0,0.0)
      | ~ $less(X0,f8(f9,sK149(X0))) ),
    inference(cnf_transformation,[],[f871]) ).

tff(f871,plain,
    ! [X0: $real] :
      ( $less(X0,0.0)
      | ? [X1: 'S5'] :
          ( $less(X0,f8(f9,f13(f14,$sum(f11(f12,X1),1))))
          & ~ $less(X0,f8(f9,X1)) ) ),
    inference(ennf_transformation,[],[f643]) ).

tff(f643,plain,
    ! [X0: $real] :
      ( ~ $less(X0,0.0)
     => ? [X1: 'S5'] :
          ( $less(X0,f8(f9,f13(f14,$sum(f11(f12,X1),1))))
          & ~ $less(X0,f8(f9,X1)) ) ),
    inference(rectify,[],[f405]) ).

tff(f405,plain,
    ! [X1: $real] :
      ( ~ $less(X1,0.0)
     => ? [X5: 'S5'] :
          ( ~ $less(X1,f8(f9,X5))
          & $less(X1,f8(f9,f13(f14,$sum(f11(f12,X5),1)))) ) ),
    inference(theory_normalization,[],[f125]) ).

tff(f125,axiom,
    ! [X1: $real] :
      ( $lesseq(0.0,X1)
     => ? [X5: 'S5'] :
          ( $lesseq(f8(f9,X5),X1)
          & $less(X1,f8(f9,f13(f14,$sum(f11(f12,X5),1)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3415,plain,
    ! [X0: 'S5'] :
      ( $less(0.0,sK228(X0))
      | ( 0.0 = sK228(X0) ) ),
    inference(resolution,[],[f467,f2187]) ).

tff(f2187,plain,
    ! [X0: 'S5'] : ~ $less(sK228(X0),0.0),
    inference(backward_demodulation,[],[f1289,f1530]) ).

tff(f1289,plain,
    ! [X0: 'S5'] : ~ $less(f8(f9,X0),0.0),
    inference(cnf_transformation,[],[f774]) ).

tff(f774,plain,
    ! [X0: 'S5'] : ~ $less(f8(f9,X0),0.0),
    inference(rectify,[],[f36]) ).

tff(f36,axiom,
    ! [X1: 'S5'] : ~ $less(f8(f9,X1),0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f467,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_152,[]) ).

tff(f4196,plain,
    ( spl255_79
    | spl255_120
    | ~ spl255_104 ),
    inference(avatar_split_clause,[],[f4183,f3738,f4194,f3529]) ).

tff(f3529,plain,
    ( spl255_79
  <=> ( -1.0 = sK6(2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_79])]) ).

tff(f4194,plain,
    ( spl255_120
  <=> $less(-1.0,sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_120])]) ).

tff(f3738,plain,
    ( spl255_104
  <=> $less(sK6(2.0),sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_104])]) ).

tff(f4183,plain,
    ( ( -1.0 = sK6(2.0) )
    | $less(-1.0,sK42)
    | ~ spl255_104 ),
    inference(resolution,[],[f3412,f3744]) ).

tff(f3744,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,sK6(2.0))
        | $less(X0,sK42) )
    | ~ spl255_104 ),
    inference(resolution,[],[f3739,f466]) ).

tff(f3739,plain,
    ( $less(sK6(2.0),sK42)
    | ~ spl255_104 ),
    inference(avatar_component_clause,[],[f3738]) ).

tff(f3412,plain,
    ! [X0: $real] :
      ( $less(-1.0,sK6(X0))
      | ( sK6(X0) = -1.0 ) ),
    inference(resolution,[],[f467,f1753]) ).

tff(f1753,plain,
    ! [X0: $real] : ~ $less(sK6(X0),-1.0),
    inference(backward_demodulation,[],[f1626,f923]) ).

tff(f1626,plain,
    ! [X0: $real] : ~ $less(f3(f4,X0),-1.0),
    inference(evaluation,[],[f1077]) ).

tff(f1077,plain,
    ! [X0: $real] : ~ $less(f3(f4,X0),$uminus(1.0)),
    inference(cnf_transformation,[],[f754]) ).

tff(f754,plain,
    ! [X0: $real] : ~ $less(f3(f4,X0),$uminus(1.0)),
    inference(rectify,[],[f433]) ).

tff(f433,plain,
    ! [X1: $real] : ~ $less(f3(f4,X1),$uminus(1.0)),
    inference(theory_normalization,[],[f43]) ).

tff(f43,axiom,
    ! [X1: $real] : $lesseq($uminus(1.0),f3(f4,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4156,plain,
    ( spl255_119
    | ~ spl255_64 ),
    inference(avatar_split_clause,[],[f4152,f3334,f4154]) ).

tff(f4154,plain,
    ( spl255_119
  <=> $less(sK139(sK9(f7)),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_119])]) ).

tff(f3334,plain,
    ( spl255_64
  <=> $less(sK139(sK9(f7)),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_64])]) ).

tff(f4152,plain,
    ( $less(sK139(sK9(f7)),1.0)
    | ~ spl255_64 ),
    inference(evaluation,[],[f4150]) ).

tff(f4150,plain,
    ( $less(sK139(sK9(f7)),1.0)
    | $less(0.0,0.0)
    | ~ spl255_64 ),
    inference(resolution,[],[f3386,f3921]) ).

tff(f3386,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,sK139(sK9(f7)))
        | $less(X0,0.0) )
    | ~ spl255_64 ),
    inference(resolution,[],[f466,f3335]) ).

tff(f3335,plain,
    ( $less(sK139(sK9(f7)),0.0)
    | ~ spl255_64 ),
    inference(avatar_component_clause,[],[f3334]) ).

tff(f4139,plain,
    spl255_118,
    inference(avatar_split_clause,[],[f4132,f4137]) ).

tff(f4137,plain,
    ( spl255_118
  <=> $less(0.0,sK228(sK86(1.0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_118])]) ).

tff(f4132,plain,
    $less(0.0,sK228(sK86(1.0))),
    inference(superposition,[],[f4108,f462]) ).

tff(f4108,plain,
    ! [X0: $real] : $less(X0,sK228(sK86($sum(1.0,X0)))),
    inference(resolution,[],[f4103,f3183]) ).

tff(f4118,plain,
    spl255_117,
    inference(avatar_split_clause,[],[f4114,f4116]) ).

tff(f4114,plain,
    $less(sK139(1.0),sK228(sK86(0.0))),
    inference(superposition,[],[f4107,f2268]) ).

tff(f4084,plain,
    ( spl255_116
    | ~ spl255_60
    | ~ spl255_61 ),
    inference(avatar_split_clause,[],[f4015,f3271,f3247,f4054]) ).

tff(f4054,plain,
    ( spl255_116
  <=> ( 0.0 = sK5(sK139($product(2.0,f7))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_116])]) ).

tff(f3247,plain,
    ( spl255_60
  <=> ( 0.0 = sK5($product(2.0,f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_60])]) ).

tff(f3271,plain,
    ( spl255_61
  <=> ( 0.0 = sK139(0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_61])]) ).

tff(f4015,plain,
    ( ( 0.0 = sK5(sK139($product(2.0,f7))) )
    | ~ spl255_60
    | ~ spl255_61 ),
    inference(forward_demodulation,[],[f4006,f3272]) ).

tff(f3272,plain,
    ( ( 0.0 = sK139(0.0) )
    | ~ spl255_61 ),
    inference(avatar_component_clause,[],[f3271]) ).

tff(f4006,plain,
    ( ( sK139(0.0) = sK5(sK139($product(2.0,f7))) )
    | ~ spl255_60 ),
    inference(superposition,[],[f3984,f3248]) ).

tff(f3248,plain,
    ( ( 0.0 = sK5($product(2.0,f7)) )
    | ~ spl255_60 ),
    inference(avatar_component_clause,[],[f3247]) ).

tff(f4056,plain,
    ( spl255_116
    | ~ spl255_60 ),
    inference(avatar_split_clause,[],[f3988,f3247,f4054]) ).

tff(f3988,plain,
    ( ( 0.0 = sK5(sK139($product(2.0,f7))) )
    | ~ spl255_60 ),
    inference(evaluation,[],[f3982]) ).

tff(f3982,plain,
    ( ( $uminus(0.0) = sK5(sK139($product(2.0,f7))) )
    | ~ spl255_60 ),
    inference(superposition,[],[f3980,f3248]) ).

tff(f4045,plain,
    ( spl255_115
    | ~ spl255_114 ),
    inference(avatar_split_clause,[],[f4040,f4037,f4043]) ).

tff(f4043,plain,
    ( spl255_115
  <=> ( 0.0 = sK6(sK9(f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_115])]) ).

tff(f4037,plain,
    ( spl255_114
  <=> ( 0.0 = f3(f4,sK9(f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_114])]) ).

tff(f4040,plain,
    ( ( 0.0 = sK6(sK9(f7)) )
    | ~ spl255_114 ),
    inference(superposition,[],[f4038,f923]) ).

tff(f4038,plain,
    ( ( 0.0 = f3(f4,sK9(f7)) )
    | ~ spl255_114 ),
    inference(avatar_component_clause,[],[f4037]) ).

tff(f4039,plain,
    spl255_114,
    inference(avatar_split_clause,[],[f4035,f4037]) ).

tff(f4035,plain,
    0.0 = f3(f4,sK9(f7)),
    inference(forward_demodulation,[],[f1318,f930]) ).

tff(f1318,plain,
    0.0 = f3(f4,f3(f5(f6,f7),2.0)),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    0.0 = f3(f4,f3(f5(f6,f7),2.0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f4033,plain,
    spl255_113,
    inference(avatar_split_clause,[],[f4029,f4031]) ).

tff(f4031,plain,
    ( spl255_113
  <=> $less(sK228(sK149(0.0)),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_113])]) ).

tff(f4029,plain,
    $less(sK228(sK149(0.0)),1.0),
    inference(evaluation,[],[f4027]) ).

tff(f4027,plain,
    ( $less(sK228(sK149(0.0)),1.0)
    | $less(0.0,0.0) ),
    inference(resolution,[],[f4022,f3921]) ).

tff(f3993,plain,
    ( spl255_112
    | ~ spl255_29 ),
    inference(avatar_split_clause,[],[f3987,f1802,f3991]) ).

tff(f3991,plain,
    ( spl255_112
  <=> ( 0.0 = sK5(sK139(f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_112])]) ).

tff(f1802,plain,
    ( spl255_29
  <=> ( 0.0 = sK5(f7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_29])]) ).

tff(f3987,plain,
    ( ( 0.0 = sK5(sK139(f7)) )
    | ~ spl255_29 ),
    inference(evaluation,[],[f3981]) ).

tff(f3981,plain,
    ( ( $uminus(0.0) = sK5(sK139(f7)) )
    | ~ spl255_29 ),
    inference(superposition,[],[f3980,f1803]) ).

tff(f1803,plain,
    ( ( 0.0 = sK5(f7) )
    | ~ spl255_29 ),
    inference(avatar_component_clause,[],[f1802]) ).

tff(f3969,plain,
    ( spl255_111
    | ~ spl255_92 ),
    inference(avatar_split_clause,[],[f3955,f3640,f3967]) ).

tff(f3967,plain,
    ( spl255_111
  <=> $less(sK139(1.0),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_111])]) ).

tff(f3640,plain,
    ( spl255_92
  <=> $less(sK139(1.0),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_92])]) ).

tff(f3955,plain,
    ( $less(sK139(1.0),1.0)
    | ~ spl255_92 ),
    inference(evaluation,[],[f3952]) ).

tff(f3952,plain,
    ( $less(0.0,0.0)
    | $less(sK139(1.0),1.0)
    | ~ spl255_92 ),
    inference(resolution,[],[f3921,f3644]) ).

tff(f3644,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,sK139(1.0))
        | $less(X0,0.0) )
    | ~ spl255_92 ),
    inference(resolution,[],[f3641,f466]) ).

tff(f3641,plain,
    ( $less(sK139(1.0),0.0)
    | ~ spl255_92 ),
    inference(avatar_component_clause,[],[f3640]) ).

tff(f3964,plain,
    ( spl255_110
    | ~ spl255_24 ),
    inference(avatar_split_clause,[],[f3954,f1769,f3958]) ).

tff(f3958,plain,
    ( spl255_110
  <=> $less(sK6(2.0),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_110])]) ).

tff(f1769,plain,
    ( spl255_24
  <=> $less(sK6(2.0),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_24])]) ).

tff(f3954,plain,
    ( $less(sK6(2.0),1.0)
    | ~ spl255_24 ),
    inference(evaluation,[],[f3938]) ).

tff(f3938,plain,
    ( $less(sK6(2.0),1.0)
    | $less(0.0,0.0)
    | ~ spl255_24 ),
    inference(resolution,[],[f3921,f3383]) ).

tff(f3383,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,sK6(2.0))
        | $less(X0,0.0) )
    | ~ spl255_24 ),
    inference(resolution,[],[f466,f1770]) ).

tff(f1770,plain,
    ( $less(sK6(2.0),0.0)
    | ~ spl255_24 ),
    inference(avatar_component_clause,[],[f1769]) ).

tff(f3960,plain,
    ( spl255_110
    | spl255_23 ),
    inference(avatar_split_clause,[],[f3925,f1765,f3958]) ).

tff(f1765,plain,
    ( spl255_23
  <=> $less(0.0,sK6(2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_23])]) ).

tff(f3925,plain,
    ( $less(sK6(2.0),1.0)
    | spl255_23 ),
    inference(resolution,[],[f3921,f1766]) ).

tff(f1766,plain,
    ( ~ $less(0.0,sK6(2.0))
    | spl255_23 ),
    inference(avatar_component_clause,[],[f1765]) ).

tff(f3778,plain,
    ( spl255_109
    | ~ spl255_91
    | ~ spl255_108 ),
    inference(avatar_split_clause,[],[f3773,f3770,f3598,f3776]) ).

tff(f3598,plain,
    ( spl255_91
  <=> $less(sK42,2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_91])]) ).

tff(f3770,plain,
    ( spl255_108
  <=> $less(sK139(sK9(f7)),sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_108])]) ).

tff(f3773,plain,
    ( $less(sK139(sK9(f7)),2.0)
    | ~ spl255_91
    | ~ spl255_108 ),
    inference(resolution,[],[f3771,f3619]) ).

tff(f3619,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,sK42)
        | $less(X0,2.0) )
    | ~ spl255_91 ),
    inference(resolution,[],[f3599,f466]) ).

tff(f3599,plain,
    ( $less(sK42,2.0)
    | ~ spl255_91 ),
    inference(avatar_component_clause,[],[f3598]) ).

tff(f3771,plain,
    ( $less(sK139(sK9(f7)),sK42)
    | ~ spl255_108 ),
    inference(avatar_component_clause,[],[f3770]) ).

tff(f3772,plain,
    ( spl255_108
    | ~ spl255_64
    | ~ spl255_95 ),
    inference(avatar_split_clause,[],[f3736,f3679,f3334,f3770]) ).

tff(f3679,plain,
    ( spl255_95
  <=> $less(0.0,sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_95])]) ).

tff(f3736,plain,
    ( $less(sK139(sK9(f7)),sK42)
    | ~ spl255_64
    | ~ spl255_95 ),
    inference(resolution,[],[f3685,f3335]) ).

tff(f3685,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,0.0)
        | $less(X0,sK42) )
    | ~ spl255_95 ),
    inference(resolution,[],[f3680,f466]) ).

tff(f3680,plain,
    ( $less(0.0,sK42)
    | ~ spl255_95 ),
    inference(avatar_component_clause,[],[f3679]) ).

tff(f3760,plain,
    ( spl255_107
    | ~ spl255_91
    | ~ spl255_105 ),
    inference(avatar_split_clause,[],[f3753,f3746,f3598,f3758]) ).

tff(f3758,plain,
    ( spl255_107
  <=> $less(sK139(1.0),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_107])]) ).

tff(f3746,plain,
    ( spl255_105
  <=> $less(sK139(1.0),sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_105])]) ).

tff(f3753,plain,
    ( $less(sK139(1.0),2.0)
    | ~ spl255_91
    | ~ spl255_105 ),
    inference(resolution,[],[f3747,f3619]) ).

tff(f3747,plain,
    ( $less(sK139(1.0),sK42)
    | ~ spl255_105 ),
    inference(avatar_component_clause,[],[f3746]) ).

tff(f3752,plain,
    ( spl255_106
    | ~ spl255_91
    | ~ spl255_104 ),
    inference(avatar_split_clause,[],[f3743,f3738,f3598,f3750]) ).

tff(f3750,plain,
    ( spl255_106
  <=> $less(sK6(2.0),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_106])]) ).

tff(f3743,plain,
    ( $less(sK6(2.0),2.0)
    | ~ spl255_91
    | ~ spl255_104 ),
    inference(resolution,[],[f3739,f3619]) ).

tff(f3748,plain,
    ( spl255_105
    | ~ spl255_92
    | ~ spl255_95 ),
    inference(avatar_split_clause,[],[f3735,f3679,f3640,f3746]) ).

tff(f3735,plain,
    ( $less(sK139(1.0),sK42)
    | ~ spl255_92
    | ~ spl255_95 ),
    inference(resolution,[],[f3685,f3641]) ).

tff(f3740,plain,
    ( spl255_104
    | ~ spl255_24
    | ~ spl255_95 ),
    inference(avatar_split_clause,[],[f3734,f3679,f1769,f3738]) ).

tff(f3734,plain,
    ( $less(sK6(2.0),sK42)
    | ~ spl255_24
    | ~ spl255_95 ),
    inference(resolution,[],[f3685,f1770]) ).

tff(f3728,plain,
    ( spl255_103
    | ~ spl255_12
    | ~ spl255_101 ),
    inference(avatar_split_clause,[],[f3719,f3714,f1691,f3726]) ).

tff(f3726,plain,
    ( spl255_103
  <=> $less(sK9(f7),4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_103])]) ).

tff(f1691,plain,
    ( spl255_12
  <=> $less(f7,4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_12])]) ).

tff(f3714,plain,
    ( spl255_101
  <=> $less(sK9(f7),f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_101])]) ).

tff(f3719,plain,
    ( $less(sK9(f7),4.0)
    | ~ spl255_12
    | ~ spl255_101 ),
    inference(resolution,[],[f3715,f3380]) ).

tff(f3380,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,f7)
        | $less(X0,4.0) )
    | ~ spl255_12 ),
    inference(resolution,[],[f466,f1692]) ).

tff(f1692,plain,
    ( $less(f7,4.0)
    | ~ spl255_12 ),
    inference(avatar_component_clause,[],[f1691]) ).

tff(f3715,plain,
    ( $less(sK9(f7),f7)
    | ~ spl255_101 ),
    inference(avatar_component_clause,[],[f3714]) ).

tff(f3724,plain,
    ( spl255_102
    | ~ spl255_12
    | ~ spl255_100 ),
    inference(avatar_split_clause,[],[f3717,f3710,f1691,f3722]) ).

tff(f3722,plain,
    ( spl255_102
  <=> $less(sK9(2.0),4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_102])]) ).

tff(f3710,plain,
    ( spl255_100
  <=> $less(sK9(2.0),f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_100])]) ).

tff(f3717,plain,
    ( $less(sK9(2.0),4.0)
    | ~ spl255_12
    | ~ spl255_100 ),
    inference(resolution,[],[f3711,f3380]) ).

tff(f3711,plain,
    ( $less(sK9(2.0),f7)
    | ~ spl255_100 ),
    inference(avatar_component_clause,[],[f3710]) ).

tff(f3716,plain,
    ( spl255_101
    | ~ spl255_54
    | ~ spl255_71 ),
    inference(avatar_split_clause,[],[f3695,f3448,f3221,f3714]) ).

tff(f3221,plain,
    ( spl255_54
  <=> $less(sK9(f7),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_54])]) ).

tff(f3448,plain,
    ( spl255_71
  <=> $less(2.0,f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_71])]) ).

tff(f3695,plain,
    ( $less(sK9(f7),f7)
    | ~ spl255_54
    | ~ spl255_71 ),
    inference(resolution,[],[f3616,f3222]) ).

tff(f3222,plain,
    ( $less(sK9(f7),2.0)
    | ~ spl255_54 ),
    inference(avatar_component_clause,[],[f3221]) ).

tff(f3616,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,2.0)
        | $less(X0,f7) )
    | ~ spl255_71 ),
    inference(resolution,[],[f3449,f466]) ).

tff(f3449,plain,
    ( $less(2.0,f7)
    | ~ spl255_71 ),
    inference(avatar_component_clause,[],[f3448]) ).

tff(f3712,plain,
    ( spl255_100
    | ~ spl255_71
    | ~ spl255_73 ),
    inference(avatar_split_clause,[],[f3694,f3497,f3448,f3710]) ).

tff(f3497,plain,
    ( spl255_73
  <=> $less(sK9(2.0),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_73])]) ).

tff(f3694,plain,
    ( $less(sK9(2.0),f7)
    | ~ spl255_71
    | ~ spl255_73 ),
    inference(resolution,[],[f3616,f3498]) ).

tff(f3498,plain,
    ( $less(sK9(2.0),2.0)
    | ~ spl255_73 ),
    inference(avatar_component_clause,[],[f3497]) ).

tff(f3706,plain,
    ( spl255_99
    | ~ spl255_12
    | ~ spl255_98 ),
    inference(avatar_split_clause,[],[f3701,f3698,f1691,f3704]) ).

tff(f3704,plain,
    ( spl255_99
  <=> $less(sK42,4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_99])]) ).

tff(f3698,plain,
    ( spl255_98
  <=> $less(sK42,f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_98])]) ).

tff(f3701,plain,
    ( $less(sK42,4.0)
    | ~ spl255_12
    | ~ spl255_98 ),
    inference(resolution,[],[f3699,f3380]) ).

tff(f3699,plain,
    ( $less(sK42,f7)
    | ~ spl255_98 ),
    inference(avatar_component_clause,[],[f3698]) ).

tff(f3700,plain,
    ( spl255_98
    | ~ spl255_71
    | ~ spl255_91 ),
    inference(avatar_split_clause,[],[f3696,f3598,f3448,f3698]) ).

tff(f3696,plain,
    ( $less(sK42,f7)
    | ~ spl255_71
    | ~ spl255_91 ),
    inference(resolution,[],[f3616,f3599]) ).

tff(f3692,plain,
    ( spl255_97
    | ~ spl255_12
    | ~ spl255_35 ),
    inference(avatar_split_clause,[],[f3389,f2300,f1691,f3690]) ).

tff(f3690,plain,
    ( spl255_97
  <=> $less(sK139($product(2.0,f7)),4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_97])]) ).

tff(f2300,plain,
    ( spl255_35
  <=> $less(sK139($product(2.0,f7)),f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_35])]) ).

tff(f3389,plain,
    ( $less(sK139($product(2.0,f7)),4.0)
    | ~ spl255_12
    | ~ spl255_35 ),
    inference(resolution,[],[f3380,f2301]) ).

tff(f2301,plain,
    ( $less(sK139($product(2.0,f7)),f7)
    | ~ spl255_35 ),
    inference(avatar_component_clause,[],[f2300]) ).

tff(f3684,plain,
    ( spl255_95
    | spl255_96
    | spl255_14 ),
    inference(avatar_split_clause,[],[f3414,f1700,f3682,f3679]) ).

tff(f3682,plain,
    ( spl255_96
  <=> ( 0.0 = sK42 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_96])]) ).

tff(f1700,plain,
    ( spl255_14
  <=> $less(sK42,0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_14])]) ).

tff(f3414,plain,
    ( ( 0.0 = sK42 )
    | $less(0.0,sK42)
    | spl255_14 ),
    inference(resolution,[],[f467,f1701]) ).

tff(f1701,plain,
    ( ~ $less(sK42,0.0)
    | spl255_14 ),
    inference(avatar_component_clause,[],[f1700]) ).

tff(f3676,plain,
    ( spl255_94
    | ~ spl255_12
    | ~ spl255_93 ),
    inference(avatar_split_clause,[],[f3669,f3666,f1691,f3674]) ).

tff(f3674,plain,
    ( spl255_94
  <=> $less(sK139(1.0),4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_94])]) ).

tff(f3666,plain,
    ( spl255_93
  <=> $less(sK139(1.0),f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_93])]) ).

tff(f3669,plain,
    ( $less(sK139(1.0),4.0)
    | ~ spl255_12
    | ~ spl255_93 ),
    inference(resolution,[],[f3667,f3380]) ).

tff(f3667,plain,
    ( $less(sK139(1.0),f7)
    | ~ spl255_93 ),
    inference(avatar_component_clause,[],[f3666]) ).

tff(f3668,plain,
    ( spl255_93
    | ~ spl255_3
    | ~ spl255_92 ),
    inference(avatar_split_clause,[],[f3663,f3640,f1655,f3666]) ).

tff(f1655,plain,
    ( spl255_3
  <=> $less(0.0,f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_3])]) ).

tff(f3663,plain,
    ( $less(sK139(1.0),f7)
    | ~ spl255_3
    | ~ spl255_92 ),
    inference(resolution,[],[f3381,f3641]) ).

tff(f3381,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,0.0)
        | $less(X0,f7) )
    | ~ spl255_3 ),
    inference(resolution,[],[f466,f1656]) ).

tff(f1656,plain,
    ( $less(0.0,f7)
    | ~ spl255_3 ),
    inference(avatar_component_clause,[],[f1655]) ).

tff(f3648,plain,
    ( spl255_62
    | ~ spl255_63 ),
    inference(avatar_split_clause,[],[f3323,f3320,f3309]) ).

tff(f3309,plain,
    ( spl255_62
  <=> ( sK6(1.0) = sK6(-1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_62])]) ).

tff(f3320,plain,
    ( spl255_63
  <=> ( sK6(1.0) = f3(f4,-1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_63])]) ).

tff(f3323,plain,
    ( ( sK6(1.0) = sK6(-1.0) )
    | ~ spl255_63 ),
    inference(superposition,[],[f3321,f923]) ).

tff(f3321,plain,
    ( ( sK6(1.0) = f3(f4,-1.0) )
    | ~ spl255_63 ),
    inference(avatar_component_clause,[],[f3320]) ).

tff(f3642,plain,
    spl255_92,
    inference(avatar_split_clause,[],[f3193,f3640]) ).

tff(f3193,plain,
    $less(sK139(1.0),0.0),
    inference(superposition,[],[f3185,f1751]) ).

tff(f3185,plain,
    ! [X0: $real] : $less(X0,$sum(1.0,X0)),
    inference(superposition,[],[f3182,f460]) ).

tff(f3182,plain,
    ! [X0: $real] : $less(X0,$sum(X0,1.0)),
    inference(resolution,[],[f469,f465]) ).

tff(f3608,plain,
    ( ~ spl255_27
    | spl255_28
    | ~ spl255_90 ),
    inference(avatar_contradiction_clause,[],[f3607]) ).

tff(f3607,plain,
    ( $false
    | ~ spl255_27
    | spl255_28
    | ~ spl255_90 ),
    inference(subsumption_resolution,[],[f3601,f1786]) ).

tff(f1786,plain,
    ( ( 0.0 != sK6(2.0) )
    | spl255_28 ),
    inference(avatar_component_clause,[],[f1785]) ).

tff(f1785,plain,
    ( spl255_28
  <=> ( 0.0 = sK6(2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_28])]) ).

tff(f3601,plain,
    ( ( 0.0 = sK6(2.0) )
    | ~ spl255_27
    | ~ spl255_90 ),
    inference(backward_demodulation,[],[f1782,f3596]) ).

tff(f3596,plain,
    ( ( 2.0 = sK42 )
    | ~ spl255_90 ),
    inference(avatar_component_clause,[],[f3595]) ).

tff(f3595,plain,
    ( spl255_90
  <=> ( 2.0 = sK42 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_90])]) ).

tff(f1782,plain,
    ( ( 0.0 = sK6(sK42) )
    | ~ spl255_27 ),
    inference(avatar_component_clause,[],[f1781]) ).

tff(f1781,plain,
    ( spl255_27
  <=> ( 0.0 = sK6(sK42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_27])]) ).

tff(f3606,plain,
    ( spl255_18
    | ~ spl255_22
    | ~ spl255_90 ),
    inference(avatar_contradiction_clause,[],[f3605]) ).

tff(f3605,plain,
    ( $false
    | spl255_18
    | ~ spl255_22
    | ~ spl255_90 ),
    inference(subsumption_resolution,[],[f3602,f1720]) ).

tff(f1720,plain,
    ( ( 0.0 != f3(f4,2.0) )
    | spl255_18 ),
    inference(avatar_component_clause,[],[f1719]) ).

tff(f1719,plain,
    ( spl255_18
  <=> ( 0.0 = f3(f4,2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_18])]) ).

tff(f3602,plain,
    ( ( 0.0 = f3(f4,2.0) )
    | ~ spl255_22
    | ~ spl255_90 ),
    inference(backward_demodulation,[],[f1736,f3596]) ).

tff(f1736,plain,
    ( ( 0.0 = f3(f4,sK42) )
    | ~ spl255_22 ),
    inference(avatar_component_clause,[],[f1735]) ).

tff(f1735,plain,
    ( spl255_22
  <=> ( 0.0 = f3(f4,sK42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_22])]) ).

tff(f3600,plain,
    ( spl255_90
    | spl255_91
    | spl255_5 ),
    inference(avatar_split_clause,[],[f3406,f1663,f3598,f3595]) ).

tff(f1663,plain,
    ( spl255_5
  <=> $less(2.0,sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_5])]) ).

tff(f3406,plain,
    ( $less(sK42,2.0)
    | ( 2.0 = sK42 )
    | spl255_5 ),
    inference(resolution,[],[f467,f1664]) ).

tff(f1664,plain,
    ( ~ $less(2.0,sK42)
    | spl255_5 ),
    inference(avatar_component_clause,[],[f1663]) ).

tff(f3592,plain,
    ( spl255_89
    | ~ spl255_69
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3486,f3445,f3440,f3590]) ).

tff(f3590,plain,
    ( spl255_89
  <=> $less(sK139(sK9(2.0)),4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_89])]) ).

tff(f3440,plain,
    ( spl255_69
  <=> $less(sK139(sK9(f7)),4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_69])]) ).

tff(f3445,plain,
    ( spl255_70
  <=> ( 2.0 = f7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_70])]) ).

tff(f3486,plain,
    ( $less(sK139(sK9(2.0)),4.0)
    | ~ spl255_69
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3441,f3446]) ).

tff(f3446,plain,
    ( ( 2.0 = f7 )
    | ~ spl255_70 ),
    inference(avatar_component_clause,[],[f3445]) ).

tff(f3441,plain,
    ( $less(sK139(sK9(f7)),4.0)
    | ~ spl255_69 ),
    inference(avatar_component_clause,[],[f3440]) ).

tff(f3587,plain,
    ( spl255_88
    | ~ spl255_68
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3485,f3445,f3433,f3585]) ).

tff(f3585,plain,
    ( spl255_88
  <=> $less(sK139(sK9(2.0)),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_88])]) ).

tff(f3433,plain,
    ( spl255_68
  <=> $less(sK139(sK9(f7)),f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_68])]) ).

tff(f3485,plain,
    ( $less(sK139(sK9(2.0)),2.0)
    | ~ spl255_68
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3434,f3446]) ).

tff(f3434,plain,
    ( $less(sK139(sK9(f7)),f7)
    | ~ spl255_68 ),
    inference(avatar_component_clause,[],[f3433]) ).

tff(f3573,plain,
    ( spl255_87
    | ~ spl255_45
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3490,f3445,f3120,f3571]) ).

tff(f3571,plain,
    ( spl255_87
  <=> ( 0.0 = f3(f31,4.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_87])]) ).

tff(f3120,plain,
    ( spl255_45
  <=> ( 0.0 = f3(f31,$product(2.0,f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_45])]) ).

tff(f3490,plain,
    ( ( 0.0 = f3(f31,4.0) )
    | ~ spl255_45
    | ~ spl255_70 ),
    inference(evaluation,[],[f3463]) ).

tff(f3463,plain,
    ( ( 0.0 = f3(f31,$product(2.0,2.0)) )
    | ~ spl255_45
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3121,f3446]) ).

tff(f3121,plain,
    ( ( 0.0 = f3(f31,$product(2.0,f7)) )
    | ~ spl255_45 ),
    inference(avatar_component_clause,[],[f3120]) ).

tff(f3569,plain,
    ( spl255_86
    | ~ spl255_36
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3488,f3445,f2825,f3567]) ).

tff(f3567,plain,
    ( spl255_86
  <=> ( 1.0 = f3(f4,4.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_86])]) ).

tff(f2825,plain,
    ( spl255_36
  <=> ( 1.0 = f3(f4,$product(2.0,f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_36])]) ).

tff(f3488,plain,
    ( ( 1.0 = f3(f4,4.0) )
    | ~ spl255_36
    | ~ spl255_70 ),
    inference(evaluation,[],[f3462]) ).

tff(f3462,plain,
    ( ( 1.0 = f3(f4,$product(2.0,2.0)) )
    | ~ spl255_36
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f2826,f3446]) ).

tff(f2826,plain,
    ( ( 1.0 = f3(f4,$product(2.0,f7)) )
    | ~ spl255_36 ),
    inference(avatar_component_clause,[],[f2825]) ).

tff(f3565,plain,
    ( spl255_85
    | ~ spl255_64
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3480,f3445,f3334,f3563]) ).

tff(f3563,plain,
    ( spl255_85
  <=> $less(sK139(sK9(2.0)),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_85])]) ).

tff(f3480,plain,
    ( $less(sK139(sK9(2.0)),0.0)
    | ~ spl255_64
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3335,f3446]) ).

tff(f3551,plain,
    ( spl255_84
    | ~ spl255_60
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3491,f3445,f3247,f3549]) ).

tff(f3549,plain,
    ( spl255_84
  <=> ( 0.0 = sK5(4.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_84])]) ).

tff(f3491,plain,
    ( ( 0.0 = sK5(4.0) )
    | ~ spl255_60
    | ~ spl255_70 ),
    inference(evaluation,[],[f3474]) ).

tff(f3474,plain,
    ( ( 0.0 = sK5($product(2.0,2.0)) )
    | ~ spl255_60
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3248,f3446]) ).

tff(f3547,plain,
    ( spl255_83
    | ~ spl255_51
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3489,f3445,f3165,f3545]) ).

tff(f3545,plain,
    ( spl255_83
  <=> ( 1.0 = sK6(4.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_83])]) ).

tff(f3165,plain,
    ( spl255_51
  <=> ( 1.0 = sK6($product(2.0,f7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_51])]) ).

tff(f3489,plain,
    ( ( 1.0 = sK6(4.0) )
    | ~ spl255_51
    | ~ spl255_70 ),
    inference(evaluation,[],[f3466]) ).

tff(f3466,plain,
    ( ( 1.0 = sK6($product(2.0,2.0)) )
    | ~ spl255_51
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3166,f3446]) ).

tff(f3166,plain,
    ( ( 1.0 = sK6($product(2.0,f7)) )
    | ~ spl255_51 ),
    inference(avatar_component_clause,[],[f3165]) ).

tff(f3543,plain,
    ( ~ spl255_82
    | spl255_58
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3473,f3445,f3238,f3541]) ).

tff(f3541,plain,
    ( spl255_82
  <=> ( 0.0 = sK9(2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_82])]) ).

tff(f3238,plain,
    ( spl255_58
  <=> ( 0.0 = sK9(f7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_58])]) ).

tff(f3473,plain,
    ( ( 0.0 != sK9(2.0) )
    | spl255_58
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3239,f3446]) ).

tff(f3239,plain,
    ( ( 0.0 != sK9(f7) )
    | spl255_58 ),
    inference(avatar_component_clause,[],[f3238]) ).

tff(f3539,plain,
    ( ~ spl255_81
    | spl255_57
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3471,f3445,f3233,f3537]) ).

tff(f3537,plain,
    ( spl255_81
  <=> ( 2.0 = sK9(2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_81])]) ).

tff(f3233,plain,
    ( spl255_57
  <=> ( 2.0 = sK9(f7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_57])]) ).

tff(f3471,plain,
    ( ( 2.0 != sK9(2.0) )
    | spl255_57
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3234,f3446]) ).

tff(f3234,plain,
    ( ( 2.0 != sK9(f7) )
    | spl255_57 ),
    inference(avatar_component_clause,[],[f3233]) ).

tff(f3535,plain,
    ( spl255_80
    | ~ spl255_29
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3460,f3445,f1802,f3533]) ).

tff(f3533,plain,
    ( spl255_80
  <=> ( 0.0 = sK5(2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_80])]) ).

tff(f3460,plain,
    ( ( 0.0 = sK5(2.0) )
    | ~ spl255_29
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f1803,f3446]) ).

tff(f3531,plain,
    ( spl255_79
    | ~ spl255_25
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3459,f3445,f1773,f3529]) ).

tff(f1773,plain,
    ( spl255_25
  <=> ( -1.0 = sK6(f7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_25])]) ).

tff(f3459,plain,
    ( ( -1.0 = sK6(2.0) )
    | ~ spl255_25
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f1774,f3446]) ).

tff(f1774,plain,
    ( ( -1.0 = sK6(f7) )
    | ~ spl255_25 ),
    inference(avatar_component_clause,[],[f1773]) ).

tff(f3524,plain,
    ( spl255_78
    | ~ spl255_20
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3458,f3445,f1727,f3522]) ).

tff(f3522,plain,
    ( spl255_78
  <=> ( f3(f4,2.0) = -1.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_78])]) ).

tff(f1727,plain,
    ( spl255_20
  <=> ( f3(f4,f7) = -1.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_20])]) ).

tff(f3458,plain,
    ( ( f3(f4,2.0) = -1.0 )
    | ~ spl255_20
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f1728,f3446]) ).

tff(f1728,plain,
    ( ( f3(f4,f7) = -1.0 )
    | ~ spl255_20 ),
    inference(avatar_component_clause,[],[f1727]) ).

tff(f3520,plain,
    ( spl255_77
    | ~ spl255_17
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3457,f3445,f1715,f3518]) ).

tff(f3518,plain,
    ( spl255_77
  <=> ( 0.0 = f3(f31,2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_77])]) ).

tff(f1715,plain,
    ( spl255_17
  <=> ( 0.0 = f3(f31,f7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_17])]) ).

tff(f3457,plain,
    ( ( 0.0 = f3(f31,2.0) )
    | ~ spl255_17
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f1716,f3446]) ).

tff(f1716,plain,
    ( ( 0.0 = f3(f31,f7) )
    | ~ spl255_17 ),
    inference(avatar_component_clause,[],[f1715]) ).

tff(f3511,plain,
    ( spl255_76
    | ~ spl255_35
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3487,f3445,f2300,f3509]) ).

tff(f3509,plain,
    ( spl255_76
  <=> $less(sK139(4.0),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_76])]) ).

tff(f3487,plain,
    ( $less(sK139(4.0),2.0)
    | ~ spl255_35
    | ~ spl255_70 ),
    inference(evaluation,[],[f3461]) ).

tff(f3461,plain,
    ( $less(sK139($product(2.0,2.0)),2.0)
    | ~ spl255_35
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f2301,f3446]) ).

tff(f3507,plain,
    ( spl255_75
    | ~ spl255_56
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3470,f3445,f3229,f3505]) ).

tff(f3505,plain,
    ( spl255_75
  <=> $less(0.0,sK9(2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_75])]) ).

tff(f3229,plain,
    ( spl255_56
  <=> $less(0.0,sK9(f7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_56])]) ).

tff(f3470,plain,
    ( $less(0.0,sK9(2.0))
    | ~ spl255_56
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3230,f3446]) ).

tff(f3230,plain,
    ( $less(0.0,sK9(f7))
    | ~ spl255_56 ),
    inference(avatar_component_clause,[],[f3229]) ).

tff(f3503,plain,
    ( ~ spl255_74
    | spl255_55
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3469,f3445,f3225,f3501]) ).

tff(f3501,plain,
    ( spl255_74
  <=> $less(sK9(2.0),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_74])]) ).

tff(f3225,plain,
    ( spl255_55
  <=> $less(sK9(f7),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_55])]) ).

tff(f3469,plain,
    ( ~ $less(sK9(2.0),0.0)
    | spl255_55
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3226,f3446]) ).

tff(f3226,plain,
    ( ~ $less(sK9(f7),0.0)
    | spl255_55 ),
    inference(avatar_component_clause,[],[f3225]) ).

tff(f3499,plain,
    ( spl255_73
    | ~ spl255_54
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3468,f3445,f3221,f3497]) ).

tff(f3468,plain,
    ( $less(sK9(2.0),2.0)
    | ~ spl255_54
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3222,f3446]) ).

tff(f3495,plain,
    ( ~ spl255_72
    | spl255_53
    | ~ spl255_70 ),
    inference(avatar_split_clause,[],[f3467,f3445,f3217,f3493]) ).

tff(f3493,plain,
    ( spl255_72
  <=> $less(2.0,sK9(2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_72])]) ).

tff(f3217,plain,
    ( spl255_53
  <=> $less(2.0,sK9(f7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_53])]) ).

tff(f3467,plain,
    ( ~ $less(2.0,sK9(2.0))
    | spl255_53
    | ~ spl255_70 ),
    inference(backward_demodulation,[],[f3218,f3446]) ).

tff(f3218,plain,
    ( ~ $less(2.0,sK9(f7))
    | spl255_53 ),
    inference(avatar_component_clause,[],[f3217]) ).

tff(f3450,plain,
    ( spl255_70
    | spl255_71
    | spl255_10 ),
    inference(avatar_split_clause,[],[f3404,f1683,f3448,f3445]) ).

tff(f1683,plain,
    ( spl255_10
  <=> $less(f7,2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_10])]) ).

tff(f3404,plain,
    ( ( 2.0 = f7 )
    | $less(2.0,f7)
    | spl255_10 ),
    inference(resolution,[],[f467,f1684]) ).

tff(f1684,plain,
    ( ~ $less(f7,2.0)
    | spl255_10 ),
    inference(avatar_component_clause,[],[f1683]) ).

tff(f3442,plain,
    ( spl255_69
    | ~ spl255_12
    | ~ spl255_68 ),
    inference(avatar_split_clause,[],[f3436,f3433,f1691,f3440]) ).

tff(f3436,plain,
    ( $less(sK139(sK9(f7)),4.0)
    | ~ spl255_12
    | ~ spl255_68 ),
    inference(resolution,[],[f3434,f3380]) ).

tff(f3435,plain,
    ( spl255_68
    | ~ spl255_3
    | ~ spl255_64 ),
    inference(avatar_split_clause,[],[f3392,f3334,f1655,f3433]) ).

tff(f3392,plain,
    ( $less(sK139(sK9(f7)),f7)
    | ~ spl255_3
    | ~ spl255_64 ),
    inference(resolution,[],[f3381,f3335]) ).

tff(f3430,plain,
    ( spl255_67
    | ~ spl255_12
    | ~ spl255_66 ),
    inference(avatar_split_clause,[],[f3424,f3421,f1691,f3428]) ).

tff(f3428,plain,
    ( spl255_67
  <=> $less(sK6(2.0),4.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_67])]) ).

tff(f3421,plain,
    ( spl255_66
  <=> $less(sK6(2.0),f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_66])]) ).

tff(f3424,plain,
    ( $less(sK6(2.0),4.0)
    | ~ spl255_12
    | ~ spl255_66 ),
    inference(resolution,[],[f3422,f3380]) ).

tff(f3422,plain,
    ( $less(sK6(2.0),f7)
    | ~ spl255_66 ),
    inference(avatar_component_clause,[],[f3421]) ).

tff(f3423,plain,
    ( spl255_66
    | ~ spl255_3
    | ~ spl255_24 ),
    inference(avatar_split_clause,[],[f3391,f1769,f1655,f3421]) ).

tff(f3391,plain,
    ( $less(sK6(2.0),f7)
    | ~ spl255_3
    | ~ spl255_24 ),
    inference(resolution,[],[f3381,f1770]) ).

tff(f3398,plain,
    ( spl255_65
    | ~ spl255_3
    | ~ spl255_43 ),
    inference(avatar_split_clause,[],[f3394,f3106,f1655,f3396]) ).

tff(f3396,plain,
    ( spl255_65
  <=> $less(-1.0,f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_65])]) ).

tff(f3394,plain,
    ( $less(-1.0,f7)
    | ~ spl255_3
    | ~ spl255_43 ),
    inference(evaluation,[],[f3393]) ).

tff(f3393,plain,
    ( $less(-1.0,f7)
    | $less(0.0,0.0)
    | ~ spl255_3
    | ~ spl255_43 ),
    inference(resolution,[],[f3381,f3268]) ).

tff(f3268,plain,
    ( ! [X0: $real] :
        ( $less(-1.0,X0)
        | $less(X0,0.0) )
    | ~ spl255_43 ),
    inference(forward_demodulation,[],[f3267,f3107]) ).

tff(f3267,plain,
    ! [X0: $real] :
      ( $less(sK139(1.0),X0)
      | $less(X0,0.0) ),
    inference(superposition,[],[f469,f2268]) ).

tff(f3336,plain,
    spl255_64,
    inference(avatar_split_clause,[],[f3332,f3334]) ).

tff(f3332,plain,
    $less(sK139(sK9(f7)),0.0),
    inference(forward_demodulation,[],[f3331,f930]) ).

tff(f3331,plain,
    $less(sK139(f3(f5(f6,f7),2.0)),0.0),
    inference(forward_demodulation,[],[f1579,f1268]) ).

tff(f1579,plain,
    $less($uminus(f3(f5(f6,f7),2.0)),0.0),
    inference(cnf_transformation,[],[f55]) ).

tff(f55,axiom,
    $less($uminus(f3(f5(f6,f7),2.0)),0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3322,plain,
    ( spl255_63
    | ~ spl255_43 ),
    inference(avatar_split_clause,[],[f3301,f3106,f3320]) ).

tff(f3301,plain,
    ( ( sK6(1.0) = f3(f4,-1.0) )
    | ~ spl255_43 ),
    inference(superposition,[],[f3299,f3107]) ).

tff(f3311,plain,
    ( spl255_62
    | ~ spl255_42 ),
    inference(avatar_split_clause,[],[f3306,f3097,f3309]) ).

tff(f3306,plain,
    ( ( sK6(1.0) = sK6(-1.0) )
    | ~ spl255_42 ),
    inference(forward_demodulation,[],[f3303,f923]) ).

tff(f3303,plain,
    ( ( sK6(-1.0) = f3(f4,1.0) )
    | ~ spl255_42 ),
    inference(superposition,[],[f3299,f3098]) ).

tff(f3273,plain,
    spl255_61,
    inference(avatar_split_clause,[],[f3260,f3271]) ).

tff(f3260,plain,
    0.0 = sK139(0.0),
    inference(superposition,[],[f2268,f462]) ).

tff(f3249,plain,
    ( spl255_60
    | ~ spl255_45 ),
    inference(avatar_split_clause,[],[f3150,f3120,f3247]) ).

tff(f3150,plain,
    ( ( 0.0 = sK5($product(2.0,f7)) )
    | ~ spl255_45 ),
    inference(superposition,[],[f3121,f925]) ).

tff(f3245,plain,
    ( spl255_59
    | ~ spl255_44 ),
    inference(avatar_split_clause,[],[f3148,f3114,f3243]) ).

tff(f3114,plain,
    ( spl255_44
  <=> ( 1.0 = f8(f9,f13(f14,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_44])]) ).

tff(f3148,plain,
    ( ( 1.0 = sK228(f13(f14,1)) )
    | ~ spl255_44 ),
    inference(superposition,[],[f3115,f1530]) ).

tff(f3115,plain,
    ( ( 1.0 = f8(f9,f13(f14,1)) )
    | ~ spl255_44 ),
    inference(avatar_component_clause,[],[f3114]) ).

tff(f3240,plain,
    ( ~ spl255_58
    | spl255_46 ),
    inference(avatar_split_clause,[],[f3215,f3128,f3238]) ).

tff(f3128,plain,
    ( spl255_46
  <=> ( 0.0 = f3(f5(f6,f7),2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_46])]) ).

tff(f3215,plain,
    ( ( 0.0 != sK9(f7) )
    | spl255_46 ),
    inference(superposition,[],[f3129,f930]) ).

tff(f3129,plain,
    ( ( 0.0 != f3(f5(f6,f7),2.0) )
    | spl255_46 ),
    inference(avatar_component_clause,[],[f3128]) ).

tff(f3235,plain,
    ( ~ spl255_57
    | spl255_48 ),
    inference(avatar_split_clause,[],[f3214,f3136,f3233]) ).

tff(f3136,plain,
    ( spl255_48
  <=> ( 2.0 = f3(f5(f6,f7),2.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_48])]) ).

tff(f3214,plain,
    ( ( 2.0 != sK9(f7) )
    | spl255_48 ),
    inference(superposition,[],[f3137,f930]) ).

tff(f3137,plain,
    ( ( 2.0 != f3(f5(f6,f7),2.0) )
    | spl255_48 ),
    inference(avatar_component_clause,[],[f3136]) ).

tff(f3231,plain,
    ( spl255_56
    | ~ spl255_37 ),
    inference(avatar_split_clause,[],[f3213,f2961,f3229]) ).

tff(f2961,plain,
    ( spl255_37
  <=> $less(0.0,f3(f5(f6,f7),2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_37])]) ).

tff(f3213,plain,
    ( $less(0.0,sK9(f7))
    | ~ spl255_37 ),
    inference(backward_demodulation,[],[f2962,f930]) ).

tff(f2962,plain,
    ( $less(0.0,f3(f5(f6,f7),2.0))
    | ~ spl255_37 ),
    inference(avatar_component_clause,[],[f2961]) ).

tff(f3227,plain,
    ( ~ spl255_55
    | spl255_47 ),
    inference(avatar_split_clause,[],[f3212,f3132,f3225]) ).

tff(f3132,plain,
    ( spl255_47
  <=> $less(f3(f5(f6,f7),2.0),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_47])]) ).

tff(f3212,plain,
    ( ~ $less(sK9(f7),0.0)
    | spl255_47 ),
    inference(backward_demodulation,[],[f3133,f930]) ).

tff(f3133,plain,
    ( ~ $less(f3(f5(f6,f7),2.0),0.0)
    | spl255_47 ),
    inference(avatar_component_clause,[],[f3132]) ).

tff(f3223,plain,
    ( spl255_54
    | ~ spl255_49 ),
    inference(avatar_split_clause,[],[f3211,f3142,f3221]) ).

tff(f3142,plain,
    ( spl255_49
  <=> $less(f3(f5(f6,f7),2.0),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_49])]) ).

tff(f3211,plain,
    ( $less(sK9(f7),2.0)
    | ~ spl255_49 ),
    inference(backward_demodulation,[],[f3143,f930]) ).

tff(f3143,plain,
    ( $less(f3(f5(f6,f7),2.0),2.0)
    | ~ spl255_49 ),
    inference(avatar_component_clause,[],[f3142]) ).

tff(f3219,plain,
    ( ~ spl255_53
    | spl255_50 ),
    inference(avatar_split_clause,[],[f3210,f3153,f3217]) ).

tff(f3153,plain,
    ( spl255_50
  <=> $less(2.0,f3(f5(f6,f7),2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_50])]) ).

tff(f3210,plain,
    ( ~ $less(2.0,sK9(f7))
    | spl255_50 ),
    inference(backward_demodulation,[],[f3154,f930]) ).

tff(f3154,plain,
    ( ~ $less(2.0,f3(f5(f6,f7),2.0))
    | spl255_50 ),
    inference(avatar_component_clause,[],[f3153]) ).

tff(f3200,plain,
    ( spl255_52
    | ~ spl255_38 ),
    inference(avatar_split_clause,[],[f3145,f3066,f3198]) ).

tff(f3066,plain,
    ( spl255_38
  <=> ( 0.0 = f8(f9,f13(f14,0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_38])]) ).

tff(f3145,plain,
    ( ( 0.0 = sK228(f13(f14,0)) )
    | ~ spl255_38 ),
    inference(superposition,[],[f3067,f1530]) ).

tff(f3067,plain,
    ( ( 0.0 = f8(f9,f13(f14,0)) )
    | ~ spl255_38 ),
    inference(avatar_component_clause,[],[f3066]) ).

tff(f3167,plain,
    ( spl255_51
    | ~ spl255_36 ),
    inference(avatar_split_clause,[],[f3139,f2825,f3165]) ).

tff(f3139,plain,
    ( ( 1.0 = sK6($product(2.0,f7)) )
    | ~ spl255_36 ),
    inference(superposition,[],[f2826,f923]) ).

tff(f3155,plain,
    ( ~ spl255_50
    | ~ spl255_13 ),
    inference(avatar_split_clause,[],[f3123,f1695,f3153]) ).

tff(f1695,plain,
    ( spl255_13
  <=> ( 2.0 = sK220 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_13])]) ).

tff(f3123,plain,
    ( ~ $less(2.0,f3(f5(f6,f7),2.0))
    | ~ spl255_13 ),
    inference(forward_demodulation,[],[f1505,f1696]) ).

tff(f1696,plain,
    ( ( 2.0 = sK220 )
    | ~ spl255_13 ),
    inference(avatar_component_clause,[],[f1695]) ).

tff(f1505,plain,
    ~ $less(sK220,f3(f5(f6,f7),sK220)),
    inference(cnf_transformation,[],[f552]) ).

tff(f552,plain,
    ? [X0: $real] :
      ( ( 2.0 = X0 )
      & ~ $less(X0,f3(f5(f6,f7),X0)) ),
    inference(rectify,[],[f381]) ).

tff(f381,plain,
    ? [X12: $real] :
      ( ~ $less(X12,f3(f5(f6,f7),X12))
      & ( 2.0 = X12 ) ),
    inference(theory_normalization,[],[f53]) ).

tff(f53,axiom,
    ? [X12: $real] :
      ( $lesseq(f3(f5(f6,f7),X12),X12)
      & ( 2.0 = X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3144,plain,
    ( spl255_49
    | ~ spl255_11 ),
    inference(avatar_split_clause,[],[f3064,f1687,f3142]) ).

tff(f1687,plain,
    ( spl255_11
  <=> ( 2.0 = sK92 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_11])]) ).

tff(f3064,plain,
    ( $less(f3(f5(f6,f7),2.0),2.0)
    | ~ spl255_11 ),
    inference(forward_demodulation,[],[f1145,f1688]) ).

tff(f1688,plain,
    ( ( 2.0 = sK92 )
    | ~ spl255_11 ),
    inference(avatar_component_clause,[],[f1687]) ).

tff(f1145,plain,
    $less(f3(f5(f6,f7),sK92),sK92),
    inference(cnf_transformation,[],[f516]) ).

tff(f516,plain,
    ? [X0: $real] :
      ( $less(f3(f5(f6,f7),X0),X0)
      & ( 2.0 = X0 ) ),
    inference(rectify,[],[f54]) ).

tff(f54,axiom,
    ? [X13: $real] :
      ( $less(f3(f5(f6,f7),X13),X13)
      & ( 2.0 = X13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3138,plain,
    ( ~ spl255_48
    | ~ spl255_8 ),
    inference(avatar_split_clause,[],[f2795,f1675,f3136]) ).

tff(f1675,plain,
    ( spl255_8
  <=> ( 2.0 = sK43 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_8])]) ).

tff(f2795,plain,
    ( ( 2.0 != f3(f5(f6,f7),2.0) )
    | ~ spl255_8 ),
    inference(forward_demodulation,[],[f1015,f1676]) ).

tff(f1676,plain,
    ( ( 2.0 = sK43 )
    | ~ spl255_8 ),
    inference(avatar_component_clause,[],[f1675]) ).

tff(f1015,plain,
    sK43 != f3(f5(f6,f7),sK43),
    inference(cnf_transformation,[],[f713]) ).

tff(f713,plain,
    ? [X0: $real] :
      ( ( f3(f5(f6,f7),X0) != X0 )
      & ( 2.0 = X0 ) ),
    inference(rectify,[],[f58]) ).

tff(f58,axiom,
    ? [X14: $real] :
      ( ( 2.0 = X14 )
      & ( f3(f5(f6,f7),X14) != X14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3134,plain,
    ~ spl255_47,
    inference(avatar_split_clause,[],[f1596,f3132]) ).

tff(f1596,plain,
    ~ $less(f3(f5(f6,f7),2.0),0.0),
    inference(cnf_transformation,[],[f403]) ).

tff(f403,plain,
    ~ $less(f3(f5(f6,f7),2.0),0.0),
    inference(theory_normalization,[],[f56]) ).

tff(f56,axiom,
    $lesseq(0.0,f3(f5(f6,f7),2.0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3130,plain,
    ~ spl255_46,
    inference(avatar_split_clause,[],[f1582,f3128]) ).

tff(f1582,plain,
    0.0 != f3(f5(f6,f7),2.0),
    inference(cnf_transformation,[],[f59]) ).

tff(f59,axiom,
    0.0 != f3(f5(f6,f7),2.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3122,plain,
    spl255_45,
    inference(avatar_split_clause,[],[f1494,f3120]) ).

tff(f1494,plain,
    0.0 = f3(f31,$product(2.0,f7)),
    inference(cnf_transformation,[],[f148]) ).

tff(f148,axiom,
    0.0 = f3(f31,$product(2.0,f7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3116,plain,
    spl255_44,
    inference(avatar_split_clause,[],[f1438,f3114]) ).

tff(f1438,plain,
    1.0 = f8(f9,f13(f14,1)),
    inference(cnf_transformation,[],[f34]) ).

tff(f34,axiom,
    1.0 = f8(f9,f13(f14,1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f3109,plain,
    ( spl255_43
    | ~ spl255_40
    | ~ spl255_41 ),
    inference(avatar_split_clause,[],[f3104,f3093,f3082,f3106]) ).

tff(f3082,plain,
    ( spl255_40
  <=> ( 1.0 = sK139(sK181) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_40])]) ).

tff(f3093,plain,
    ( spl255_41
  <=> ( sK181 = -1.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_41])]) ).

tff(f3104,plain,
    ( ( -1.0 = sK139(1.0) )
    | ~ spl255_40
    | ~ spl255_41 ),
    inference(forward_demodulation,[],[f3086,f3094]) ).

tff(f3094,plain,
    ( ( sK181 = -1.0 )
    | ~ spl255_41 ),
    inference(avatar_component_clause,[],[f3093]) ).

tff(f3086,plain,
    ( ( sK181 = sK139(1.0) )
    | ~ spl255_40 ),
    inference(superposition,[],[f1740,f3083]) ).

tff(f3083,plain,
    ( ( 1.0 = sK139(sK181) )
    | ~ spl255_40 ),
    inference(avatar_component_clause,[],[f3082]) ).

tff(f3108,plain,
    ( spl255_43
    | ~ spl255_42 ),
    inference(avatar_split_clause,[],[f3101,f3097,f3106]) ).

tff(f3101,plain,
    ( ( -1.0 = sK139(1.0) )
    | ~ spl255_42 ),
    inference(superposition,[],[f1740,f3098]) ).

tff(f3099,plain,
    ( spl255_42
    | ~ spl255_40 ),
    inference(avatar_split_clause,[],[f3089,f3082,f3097]) ).

tff(f3089,plain,
    ( ( 1.0 = sK139(-1.0) )
    | ~ spl255_40 ),
    inference(backward_demodulation,[],[f3083,f3088]) ).

tff(f3088,plain,
    ( ( sK181 = -1.0 )
    | ~ spl255_40 ),
    inference(evaluation,[],[f3087]) ).

tff(f3087,plain,
    ( ( $uminus(1.0) = sK181 )
    | ~ spl255_40 ),
    inference(superposition,[],[f1713,f3083]) ).

tff(f3095,plain,
    ( spl255_41
    | ~ spl255_40 ),
    inference(avatar_split_clause,[],[f3088,f3082,f3093]) ).

tff(f3084,plain,
    ( spl255_40
    | ~ spl255_39 ),
    inference(avatar_split_clause,[],[f3078,f3075,f3082]) ).

tff(f3075,plain,
    ( spl255_39
  <=> ( 1.0 = $uminus(sK181) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_39])]) ).

tff(f3078,plain,
    ( ( 1.0 = sK139(sK181) )
    | ~ spl255_39 ),
    inference(superposition,[],[f3076,f1268]) ).

tff(f3076,plain,
    ( ( 1.0 = $uminus(sK181) )
    | ~ spl255_39 ),
    inference(avatar_component_clause,[],[f3075]) ).

tff(f3077,plain,
    ( spl255_39
    | ~ spl255_32 ),
    inference(avatar_split_clause,[],[f3073,f1998,f3075]) ).

tff(f3073,plain,
    ( ( 1.0 = $uminus(sK181) )
    | ~ spl255_32 ),
    inference(subsumption_resolution,[],[f1401,f1999]) ).

tff(f1401,plain,
    ( ~ $less(sK181,0.0)
    | ( 1.0 = $uminus(sK181) ) ),
    inference(cnf_transformation,[],[f901]) ).

tff(f3068,plain,
    spl255_38,
    inference(avatar_split_clause,[],[f1190,f3066]) ).

tff(f1190,plain,
    0.0 = f8(f9,f13(f14,0)),
    inference(cnf_transformation,[],[f33]) ).

tff(f33,axiom,
    0.0 = f8(f9,f13(f14,0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2963,plain,
    spl255_37,
    inference(avatar_split_clause,[],[f1055,f2961]) ).

tff(f1055,plain,
    $less(0.0,f3(f5(f6,f7),2.0)),
    inference(cnf_transformation,[],[f57]) ).

tff(f57,axiom,
    $less(0.0,f3(f5(f6,f7),2.0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2827,plain,
    spl255_36,
    inference(avatar_split_clause,[],[f1033,f2825]) ).

tff(f1033,plain,
    1.0 = f3(f4,$product(2.0,f7)),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,axiom,
    1.0 = f3(f4,$product(2.0,f7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2302,plain,
    spl255_35,
    inference(avatar_split_clause,[],[f1996,f2300]) ).

tff(f1996,plain,
    $less(sK139($product(2.0,f7)),f7),
    inference(forward_demodulation,[],[f1395,f1268]) ).

tff(f1395,plain,
    $less($uminus($product(2.0,f7)),f7),
    inference(cnf_transformation,[],[f46]) ).

tff(f46,axiom,
    $less($uminus($product(2.0,f7)),f7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2123,plain,
    ~ spl255_34,
    inference(avatar_split_clause,[],[f1478,f2121]) ).

tff(f2121,plain,
    ( spl255_34
  <=> ( f1 = f26(f13(f14,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_34])]) ).

tff(f1478,plain,
    f1 != f26(f13(f14,1)),
    inference(cnf_transformation,[],[f117]) ).

tff(f117,axiom,
    f1 != f26(f13(f14,1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2003,plain,
    ( spl255_32
    | spl255_33 ),
    inference(avatar_split_clause,[],[f1402,f2001,f1998]) ).

tff(f1402,plain,
    ( $less(sK181,0.0)
    | ( 1.0 = sK181 ) ),
    inference(cnf_transformation,[],[f901]) ).

tff(f1826,plain,
    spl255_31,
    inference(avatar_split_clause,[],[f1201,f1824]) ).

tff(f1824,plain,
    ( spl255_31
  <=> ( f1 = f26(f13(f14,0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_31])]) ).

tff(f1201,plain,
    f1 = f26(f13(f14,0)),
    inference(cnf_transformation,[],[f118]) ).

tff(f118,axiom,
    f1 = f26(f13(f14,0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1808,plain,
    ( spl255_30
    | ~ spl255_21 ),
    inference(avatar_split_clause,[],[f1791,f1731,f1806]) ).

tff(f1806,plain,
    ( spl255_30
  <=> ( 0.0 = sK5(0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_30])]) ).

tff(f1731,plain,
    ( spl255_21
  <=> ( 0.0 = f3(f31,0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_21])]) ).

tff(f1791,plain,
    ( ( 0.0 = sK5(0.0) )
    | ~ spl255_21 ),
    inference(superposition,[],[f925,f1732]) ).

tff(f1732,plain,
    ( ( 0.0 = f3(f31,0.0) )
    | ~ spl255_21 ),
    inference(avatar_component_clause,[],[f1731]) ).

tff(f1804,plain,
    ( spl255_29
    | ~ spl255_17 ),
    inference(avatar_split_clause,[],[f1790,f1715,f1802]) ).

tff(f1790,plain,
    ( ( 0.0 = sK5(f7) )
    | ~ spl255_17 ),
    inference(superposition,[],[f925,f1716]) ).

tff(f1787,plain,
    ( ~ spl255_28
    | spl255_18 ),
    inference(avatar_split_clause,[],[f1761,f1719,f1785]) ).

tff(f1761,plain,
    ( ( 0.0 != sK6(2.0) )
    | spl255_18 ),
    inference(superposition,[],[f1720,f923]) ).

tff(f1783,plain,
    ( spl255_27
    | ~ spl255_22 ),
    inference(avatar_split_clause,[],[f1759,f1735,f1781]) ).

tff(f1759,plain,
    ( ( 0.0 = sK6(sK42) )
    | ~ spl255_22 ),
    inference(superposition,[],[f923,f1736]) ).

tff(f1779,plain,
    ( spl255_26
    | ~ spl255_16 ),
    inference(avatar_split_clause,[],[f1758,f1710,f1777]) ).

tff(f1777,plain,
    ( spl255_26
  <=> ( 1.0 = sK6(0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_26])]) ).

tff(f1710,plain,
    ( spl255_16
  <=> ( 1.0 = f3(f4,0.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_16])]) ).

tff(f1758,plain,
    ( ( 1.0 = sK6(0.0) )
    | ~ spl255_16 ),
    inference(superposition,[],[f923,f1711]) ).

tff(f1711,plain,
    ( ( 1.0 = f3(f4,0.0) )
    | ~ spl255_16 ),
    inference(avatar_component_clause,[],[f1710]) ).

tff(f1775,plain,
    ( spl255_25
    | ~ spl255_20 ),
    inference(avatar_split_clause,[],[f1757,f1727,f1773]) ).

tff(f1757,plain,
    ( ( -1.0 = sK6(f7) )
    | ~ spl255_20 ),
    inference(superposition,[],[f923,f1728]) ).

tff(f1771,plain,
    ( spl255_24
    | ~ spl255_15 ),
    inference(avatar_split_clause,[],[f1756,f1705,f1769]) ).

tff(f1705,plain,
    ( spl255_15
  <=> $less(f3(f4,2.0),0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_15])]) ).

tff(f1756,plain,
    ( $less(sK6(2.0),0.0)
    | ~ spl255_15 ),
    inference(backward_demodulation,[],[f1706,f923]) ).

tff(f1706,plain,
    ( $less(f3(f4,2.0),0.0)
    | ~ spl255_15 ),
    inference(avatar_component_clause,[],[f1705]) ).

tff(f1767,plain,
    ( ~ spl255_23
    | spl255_19 ),
    inference(avatar_split_clause,[],[f1755,f1723,f1765]) ).

tff(f1723,plain,
    ( spl255_19
  <=> $less(0.0,f3(f4,2.0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_19])]) ).

tff(f1755,plain,
    ( ~ $less(0.0,sK6(2.0))
    | spl255_19 ),
    inference(backward_demodulation,[],[f1724,f923]) ).

tff(f1724,plain,
    ( ~ $less(0.0,f3(f4,2.0))
    | spl255_19 ),
    inference(avatar_component_clause,[],[f1723]) ).

tff(f1737,plain,
    ( spl255_22
    | ~ spl255_6 ),
    inference(avatar_split_clause,[],[f1708,f1667,f1735]) ).

tff(f1667,plain,
    ( spl255_6
  <=> ( 0.0 = sK41 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_6])]) ).

tff(f1708,plain,
    ( ( 0.0 = f3(f4,sK42) )
    | ~ spl255_6 ),
    inference(forward_demodulation,[],[f1013,f1668]) ).

tff(f1668,plain,
    ( ( 0.0 = sK41 )
    | ~ spl255_6 ),
    inference(avatar_component_clause,[],[f1667]) ).

tff(f1013,plain,
    sK41 = f3(f4,sK42),
    inference(cnf_transformation,[],[f848]) ).

tff(f848,plain,
    ? [X1: $real,X0: $real] :
      ( ( f3(f4,X0) = X1 )
      & ~ $less(X0,X1)
      & ! [X2: $real] :
          ( ( X0 = X2 )
          | $less(2.0,X2)
          | $less(X2,X1)
          | ( f3(f4,X2) != X1 ) )
      & ( 0.0 = X1 )
      & ~ $less(2.0,X0) ),
    inference(flattening,[],[f847]) ).

tff(f847,plain,
    ? [X0: $real,X1: $real] :
      ( ! [X2: $real] :
          ( ( X0 = X2 )
          | ( f3(f4,X2) != X1 )
          | $less(X2,X1)
          | $less(2.0,X2) )
      & ( f3(f4,X0) = X1 )
      & ~ $less(X0,X1)
      & ~ $less(2.0,X0)
      & ( 0.0 = X1 ) ),
    inference(ennf_transformation,[],[f601]) ).

tff(f601,plain,
    ? [X0: $real,X1: $real] :
      ( ! [X2: $real] :
          ( ( ( f3(f4,X2) = X1 )
            & ~ $less(X2,X1)
            & ~ $less(2.0,X2) )
         => ( X0 = X2 ) )
      & ( f3(f4,X0) = X1 )
      & ~ $less(X0,X1)
      & ~ $less(2.0,X0)
      & ( 0.0 = X1 ) ),
    inference(rectify,[],[f393]) ).

tff(f393,plain,
    ? [X1: $real,X16: $real] :
      ( ! [X5: $real] :
          ( ( ( f3(f4,X5) = X16 )
            & ~ $less(X5,X16)
            & ~ $less(2.0,X5) )
         => ( X1 = X5 ) )
      & ~ $less(2.0,X1)
      & ~ $less(X1,X16)
      & ( 0.0 = X16 )
      & ( f3(f4,X1) = X16 ) ),
    inference(theory_normalization,[],[f63]) ).

tff(f63,axiom,
    ? [X1: $real,X16: $real] :
      ( ! [X5: $real] :
          ( ( ( f3(f4,X5) = X16 )
            & $lesseq(X16,X5)
            & $lesseq(X5,2.0) )
         => ( X1 = X5 ) )
      & $lesseq(X1,2.0)
      & $lesseq(X16,X1)
      & ( 0.0 = X16 )
      & ( f3(f4,X1) = X16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1733,plain,
    ( spl255_21
    | ~ spl255_1 ),
    inference(avatar_split_clause,[],[f1703,f1647,f1731]) ).

tff(f1647,plain,
    ( spl255_1
  <=> ( 0.0 = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_1])]) ).

tff(f1703,plain,
    ( ( 0.0 = f3(f31,0.0) )
    | ~ spl255_1 ),
    inference(forward_demodulation,[],[f913,f1648]) ).

tff(f1648,plain,
    ( ( 0.0 = sK1 )
    | ~ spl255_1 ),
    inference(avatar_component_clause,[],[f1647]) ).

tff(f913,plain,
    sK1 = f3(f31,sK1),
    inference(cnf_transformation,[],[f638]) ).

tff(f638,plain,
    ? [X0: $real] :
      ( ( 0.0 = X0 )
      & ( f3(f31,X0) = X0 ) ),
    inference(rectify,[],[f166]) ).

tff(f166,axiom,
    ? [X93: $real] :
      ( ( 0.0 = X93 )
      & ( f3(f31,X93) = X93 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1729,plain,
    spl255_20,
    inference(avatar_split_clause,[],[f1612,f1727]) ).

tff(f1612,plain,
    f3(f4,f7) = -1.0,
    inference(evaluation,[],[f1536]) ).

tff(f1536,plain,
    f3(f4,f7) = $uminus(1.0),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,axiom,
    f3(f4,f7) = $uminus(1.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1725,plain,
    ~ spl255_19,
    inference(avatar_split_clause,[],[f1468,f1723]) ).

tff(f1468,plain,
    ~ $less(0.0,f3(f4,2.0)),
    inference(cnf_transformation,[],[f431]) ).

tff(f431,plain,
    ~ $less(0.0,f3(f4,2.0)),
    inference(theory_normalization,[],[f38]) ).

tff(f38,axiom,
    $lesseq(f3(f4,2.0),0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1721,plain,
    ~ spl255_18,
    inference(avatar_split_clause,[],[f1447,f1719]) ).

tff(f1447,plain,
    0.0 != f3(f4,2.0),
    inference(cnf_transformation,[],[f45]) ).

tff(f45,axiom,
    0.0 != f3(f4,2.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1717,plain,
    spl255_17,
    inference(avatar_split_clause,[],[f1404,f1715]) ).

tff(f1404,plain,
    0.0 = f3(f31,f7),
    inference(cnf_transformation,[],[f144]) ).

tff(f144,axiom,
    0.0 = f3(f31,f7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1712,plain,
    spl255_16,
    inference(avatar_split_clause,[],[f1148,f1710]) ).

tff(f1148,plain,
    1.0 = f3(f4,0.0),
    inference(cnf_transformation,[],[f44]) ).

tff(f44,axiom,
    1.0 = f3(f4,0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1707,plain,
    spl255_15,
    inference(avatar_split_clause,[],[f1005,f1705]) ).

tff(f1005,plain,
    $less(f3(f4,2.0),0.0),
    inference(cnf_transformation,[],[f39]) ).

tff(f39,axiom,
    $less(f3(f4,2.0),0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1702,plain,
    ( ~ spl255_14
    | ~ spl255_6
    | spl255_7 ),
    inference(avatar_split_clause,[],[f1698,f1671,f1667,f1700]) ).

tff(f1671,plain,
    ( spl255_7
  <=> $less(sK42,sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_7])]) ).

tff(f1698,plain,
    ( ~ $less(sK42,0.0)
    | ~ spl255_6
    | spl255_7 ),
    inference(forward_demodulation,[],[f1672,f1668]) ).

tff(f1672,plain,
    ( ~ $less(sK42,sK41)
    | spl255_7 ),
    inference(avatar_component_clause,[],[f1671]) ).

tff(f1697,plain,
    spl255_13,
    inference(avatar_split_clause,[],[f1506,f1695]) ).

tff(f1506,plain,
    2.0 = sK220,
    inference(cnf_transformation,[],[f552]) ).

tff(f1693,plain,
    spl255_12,
    inference(avatar_split_clause,[],[f1149,f1691]) ).

tff(f1149,plain,
    $less(f7,4.0),
    inference(cnf_transformation,[],[f48]) ).

tff(f48,axiom,
    $less(f7,4.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1689,plain,
    spl255_11,
    inference(avatar_split_clause,[],[f1144,f1687]) ).

tff(f1144,plain,
    2.0 = sK92,
    inference(cnf_transformation,[],[f516]) ).

tff(f1685,plain,
    ~ spl255_10,
    inference(avatar_split_clause,[],[f1125,f1683]) ).

tff(f1125,plain,
    ~ $less(f7,2.0),
    inference(cnf_transformation,[],[f386]) ).

tff(f386,plain,
    ~ $less(f7,2.0),
    inference(theory_normalization,[],[f47]) ).

tff(f47,axiom,
    $lesseq(2.0,f7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1681,plain,
    ~ spl255_9,
    inference(avatar_split_clause,[],[f1034,f1679]) ).

tff(f1679,plain,
    ( spl255_9
  <=> ( f7 = 0.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_9])]) ).

tff(f1034,plain,
    f7 != 0.0,
    inference(cnf_transformation,[],[f52]) ).

tff(f52,axiom,
    f7 != 0.0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1677,plain,
    spl255_8,
    inference(avatar_split_clause,[],[f1014,f1675]) ).

tff(f1014,plain,
    2.0 = sK43,
    inference(cnf_transformation,[],[f713]) ).

tff(f1673,plain,
    ~ spl255_7,
    inference(avatar_split_clause,[],[f1012,f1671]) ).

tff(f1012,plain,
    ~ $less(sK42,sK41),
    inference(cnf_transformation,[],[f848]) ).

tff(f1669,plain,
    spl255_6,
    inference(avatar_split_clause,[],[f1011,f1667]) ).

tff(f1011,plain,
    0.0 = sK41,
    inference(cnf_transformation,[],[f848]) ).

tff(f1665,plain,
    ~ spl255_5,
    inference(avatar_split_clause,[],[f1010,f1663]) ).

tff(f1010,plain,
    ~ $less(2.0,sK42),
    inference(cnf_transformation,[],[f848]) ).

tff(f1661,plain,
    ~ spl255_4,
    inference(avatar_split_clause,[],[f982,f1659]) ).

tff(f1659,plain,
    ( spl255_4
  <=> $less(f7,0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_4])]) ).

tff(f982,plain,
    ~ $less(f7,0.0),
    inference(cnf_transformation,[],[f51]) ).

tff(f51,axiom,
    ~ $less(f7,0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1657,plain,
    spl255_3,
    inference(avatar_split_clause,[],[f950,f1655]) ).

tff(f950,plain,
    $less(0.0,f7),
    inference(cnf_transformation,[],[f50]) ).

tff(f50,axiom,
    $less(0.0,f7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1653,plain,
    ~ spl255_2,
    inference(avatar_split_clause,[],[f934,f1651]) ).

tff(f1651,plain,
    ( spl255_2
  <=> ( f1 = f2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl255_2])]) ).

tff(f934,plain,
    f1 != f2,
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    f1 != f2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1649,plain,
    spl255_1,
    inference(avatar_split_clause,[],[f914,f1647]) ).

tff(f914,plain,
    0.0 = sK1,
    inference(cnf_transformation,[],[f638]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWW824_1 : TPTP v8.2.0. Released v7.0.0.
% 0.12/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 04:17:09 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a TF0_UNS_EQU_ARI problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.45  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (25089)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.21/0.45  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (25091)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.45  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (25095)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.21/0.45  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (25093)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.45  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (25092)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.45  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (25090)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.45  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (25094)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.45  % (25092)Instruction limit reached!
% 0.21/0.45  % (25092)------------------------------
% 0.21/0.45  % (25092)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (25092)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (25092)Termination reason: Time limit
% 0.21/0.45  % (25092)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (25092)Memory used [KB]: 1138
% 0.21/0.45  % (25092)Time elapsed: 0.004 s
% 0.21/0.45  % (25092)Instructions burned: 2 (million)
% 0.21/0.45  % (25091)Instruction limit reached!
% 0.21/0.45  % (25091)------------------------------
% 0.21/0.45  % (25091)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (25091)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (25091)Termination reason: Time limit
% 0.21/0.45  % (25091)Termination phase: Property scanning
% 0.21/0.45  
% 0.21/0.45  % (25091)Memory used [KB]: 1157
% 0.21/0.45  % (25091)Time elapsed: 0.007 s
% 0.21/0.45  % (25091)Instructions burned: 9 (million)
% 0.21/0.46  % (25094)Instruction limit reached!
% 0.21/0.46  % (25094)------------------------------
% 0.21/0.46  % (25094)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46  % (25094)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46  % (25094)Termination reason: Time limit
% 0.21/0.46  % (25094)Termination phase: Property scanning
% 0.21/0.46  
% 0.21/0.46  % (25094)Memory used [KB]: 1163
% 0.21/0.46  % (25094)Time elapsed: 0.009 s
% 0.21/0.46  % (25094)Instructions burned: 15 (million)
% 0.21/0.46  % (25095)Refutation not found, incomplete strategy% (25095)------------------------------
% 0.21/0.46  % (25095)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46  % (25095)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46  % (25095)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46  
% 0.21/0.46  % (25095)Memory used [KB]: 1181
% 0.21/0.46  % (25095)Time elapsed: 0.014 s
% 0.21/0.46  % (25095)Instructions burned: 23 (million)
% 0.21/0.46  % (25095)------------------------------
% 0.21/0.46  % (25095)------------------------------
% 0.21/0.46  % (25090)Instruction limit reached!
% 0.21/0.46  % (25090)------------------------------
% 0.21/0.46  % (25090)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (25090)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (25090)Termination reason: Time limit
% 0.21/0.47  % (25090)Termination phase: Preprocessing 3
% 0.21/0.47  
% 0.21/0.47  % (25090)Memory used [KB]: 1928
% 0.21/0.47  % (25090)Time elapsed: 0.020 s
% 0.21/0.47  % (25090)Instructions burned: 35 (million)
% 0.21/0.47  % (25093)Instruction limit reached!
% 0.21/0.47  % (25093)------------------------------
% 0.21/0.47  % (25093)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (25093)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (25093)Termination reason: Time limit
% 0.21/0.47  % (25093)Termination phase: Preprocessing 3
% 0.21/0.47  
% 0.21/0.47  % (25093)Memory used [KB]: 1867
% 0.21/0.47  % (25093)Time elapsed: 0.022 s
% 0.21/0.47  % (25093)Instructions burned: 38 (million)
% 0.21/0.51  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (25111)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.21/0.51  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (25112)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.21/0.52  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (25113)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (25113)Instruction limit reached!
% 0.21/0.52  % (25113)------------------------------
% 0.21/0.52  % (25113)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.52  % (25113)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.52  % (25113)Termination reason: Time limit
% 0.21/0.52  % (25113)Termination phase: shuffling
% 0.21/0.52  
% 0.21/0.52  % (25113)Memory used [KB]: 1156
% 0.21/0.52  % (25113)Time elapsed: 0.004 s
% 0.21/0.52  % (25113)Instructions burned: 3 (million)
% 0.21/0.52  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (25114)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.21/0.53  % (25112)Instruction limit reached!
% 0.21/0.53  % (25112)------------------------------
% 0.21/0.53  % (25112)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53  % (25112)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53  % (25112)Termination reason: Time limit
% 0.21/0.53  % (25112)Termination phase: Preprocessing 1
% 0.21/0.53  
% 0.21/0.53  % (25112)Memory used [KB]: 1421
% 0.21/0.53  % (25112)Time elapsed: 0.016 s
% 0.21/0.53  % (25112)Instructions burned: 28 (million)
% 0.21/0.53  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (25115)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.53  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (25116)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (25116)Instruction limit reached!
% 0.21/0.53  % (25116)------------------------------
% 0.21/0.53  % (25116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53  % (25116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53  % (25116)Termination reason: Time limit
% 0.21/0.53  % (25116)Termination phase: shuffling
% 0.21/0.53  
% 0.21/0.53  % (25116)Memory used [KB]: 1137
% 0.21/0.53  % (25111)Instruction limit reached!
% 0.21/0.53  % (25111)------------------------------
% 0.21/0.53  % (25111)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53  % (25111)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53  % (25111)Termination reason: Time limit
% 0.21/0.53  % (25111)Termination phase: Preprocessing 3
% 0.21/0.53  
% 0.21/0.53  % (25111)Memory used [KB]: 1932
% 0.21/0.53  % (25111)Time elapsed: 0.021 s
% 0.21/0.53  % (25111)Instructions burned: 36 (million)
% 0.21/0.53  % (25116)Time elapsed: 0.003 s
% 0.21/0.53  % (25116)Instructions burned: 2 (million)
% 0.21/0.53  % (25115)Instruction limit reached!
% 0.21/0.53  % (25115)------------------------------
% 0.21/0.53  % (25115)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53  % (25115)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53  % (25115)Termination reason: Time limit
% 0.21/0.53  % (25115)Termination phase: Property scanning
% 0.21/0.53  
% 0.21/0.53  % (25115)Memory used [KB]: 1157
% 0.21/0.53  % (25115)Time elapsed: 0.004 s
% 0.21/0.53  % (25115)Instructions burned: 4 (million)
% 0.21/0.53  % (25114)Instruction limit reached!
% 0.21/0.53  % (25114)------------------------------
% 0.21/0.53  % (25114)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53  % (25114)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53  % (25114)Termination reason: Time limit
% 0.21/0.53  % (25114)Termination phase: Preprocessing 3
% 0.21/0.53  
% 0.21/0.53  % (25114)Memory used [KB]: 2003
% 0.21/0.53  % (25114)Time elapsed: 0.016 s
% 0.21/0.53  % (25114)Instructions burned: 37 (million)
% 0.21/0.56  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.56  % (25120)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.21/0.57  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.57  % (25121)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.21/0.57  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.57  % (25123)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.21/0.57  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.57  % (25124)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 0.21/0.57  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.57  % (25122)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.21/0.57  % (25088)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.57  % (25125)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.21/0.57  % (25123)Instruction limit reached!
% 0.21/0.57  % (25123)------------------------------
% 0.21/0.57  % (25123)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57  % (25123)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57  % (25123)Termination reason: Time limit
% 0.21/0.57  % (25123)Termination phase: Property scanning
% 0.21/0.57  
% 0.21/0.57  % (25123)Memory used [KB]: 1157
% 0.21/0.57  % (25123)Time elapsed: 0.003 s
% 0.21/0.57  % (25123)Instructions burned: 4 (million)
% 0.21/0.57  % (25122)Instruction limit reached!
% 0.21/0.57  % (25122)------------------------------
% 0.21/0.57  % (25122)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57  % (25122)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57  % (25122)Termination reason: Time limit
% 0.21/0.57  % (25122)Termination phase: Property scanning
% 0.21/0.57  
% 0.21/0.57  % (25122)Memory used [KB]: 1158
% 0.21/0.57  % (25122)Time elapsed: 0.003 s
% 0.21/0.57  % (25122)Instructions burned: 4 (million)
% 0.21/0.57  % (25120)Instruction limit reached!
% 0.21/0.57  % (25120)------------------------------
% 0.21/0.57  % (25120)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57  % (25120)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57  % (25120)Termination reason: Time limit
% 0.21/0.57  % (25120)Termination phase: Preprocessing 3
% 0.21/0.57  
% 0.21/0.57  % (25120)Memory used [KB]: 1674
% 0.21/0.57  % (25120)Time elapsed: 0.010 s
% 0.21/0.57  % (25120)Instructions burned: 23 (million)
% 0.21/0.57  % (25125)Instruction limit reached!
% 0.21/0.57  % (25125)------------------------------
% 0.21/0.57  % (25125)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57  % (25125)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57  % (25125)Termination reason: Time limit
% 0.21/0.57  % (25125)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (25125)Memory used [KB]: 1195
% 0.21/0.57  % (25125)Time elapsed: 0.006 s
% 0.21/0.57  % (25125)Instructions burned: 16 (million)
% 0.21/0.58  % (25121)Instruction limit reached!
% 0.21/0.58  % (25121)------------------------------
% 0.21/0.58  % (25121)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.58  % (25121)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.58  % (25121)Termination reason: Time limit
% 0.21/0.58  % (25121)Termination phase: Function definition elimination
% 0.21/0.58  
% 0.21/0.58  % (25121)Memory used [KB]: 2290
% 0.21/0.58  % (25121)Time elapsed: 0.017 s
% 0.21/0.58  % (25121)Instructions burned: 51 (million)
% 1.56/0.59  % (25124)Instruction limit reached!
% 1.56/0.59  % (25124)------------------------------
% 1.56/0.59  % (25124)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.59  % (25124)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.59  % (25124)Termination reason: Time limit
% 1.56/0.59  % (25124)Termination phase: Property scanning
% 1.56/0.59  
% 1.56/0.59  % (25124)Memory used [KB]: 2184
% 1.56/0.59  % (25124)Time elapsed: 0.020 s
% 1.56/0.59  % (25124)Instructions burned: 50 (million)
% 1.56/0.60  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.56/0.60  % (25133)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.56/0.60  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.56/0.60  % (25134)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.56/0.60  % (25133)Instruction limit reached!
% 1.56/0.60  % (25133)------------------------------
% 1.56/0.60  % (25133)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.60  % (25133)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.60  % (25133)Termination reason: Time limit
% 1.56/0.60  % (25133)Termination phase: shuffling
% 1.56/0.60  
% 1.56/0.60  % (25133)Memory used [KB]: 1155
% 1.56/0.60  % (25133)Time elapsed: 0.003 s
% 1.56/0.60  % (25133)Instructions burned: 3 (million)
% 1.56/0.61  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.56/0.61  % (25136)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.56/0.61  % (25134)Instruction limit reached!
% 1.56/0.61  % (25134)------------------------------
% 1.56/0.61  % (25134)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.61  % (25134)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.61  % (25134)Termination reason: Time limit
% 1.56/0.61  % (25134)Termination phase: Property scanning
% 1.56/0.61  
% 1.56/0.61  % (25134)Memory used [KB]: 1163
% 1.56/0.61  % (25134)Time elapsed: 0.006 s
% 1.56/0.61  % (25134)Instructions burned: 16 (million)
% 1.69/0.61  % (25136)Refutation not found, incomplete strategy% (25136)------------------------------
% 1.69/0.61  % (25136)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.69/0.61  % (25136)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.69/0.61  % (25136)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.61  
% 1.69/0.61  % (25136)Memory used [KB]: 1181
% 1.69/0.61  % (25136)Time elapsed: 0.009 s
% 1.69/0.61  % (25136)Instructions burned: 25 (million)
% 1.69/0.61  % (25136)------------------------------
% 1.69/0.61  % (25136)------------------------------
% 1.69/0.62  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.69/0.62  % (25137)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.69/0.62  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.69/0.62  % (25135)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.74/0.63  % (25135)Instruction limit reached!
% 1.74/0.63  % (25135)------------------------------
% 1.74/0.63  % (25135)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.63  % (25135)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.63  % (25135)Termination reason: Time limit
% 1.74/0.63  % (25135)Termination phase: Preprocessing 3
% 1.74/0.63  
% 1.74/0.63  % (25135)Memory used [KB]: 1641
% 1.74/0.63  % (25135)Time elapsed: 0.012 s
% 1.74/0.63  % (25135)Instructions burned: 23 (million)
% 1.74/0.63  % (25137)Instruction limit reached!
% 1.74/0.63  % (25137)------------------------------
% 1.74/0.63  % (25137)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.63  % (25137)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.63  % (25137)Termination reason: Time limit
% 1.74/0.63  % (25137)Termination phase: Function definition elimination
% 1.74/0.63  
% 1.74/0.63  % (25137)Memory used [KB]: 2276
% 1.74/0.63  % (25137)Time elapsed: 0.017 s
% 1.74/0.63  % (25137)Instructions burned: 52 (million)
% 1.74/0.63  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.63  % (25138)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.74/0.64  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.64  % (25139)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 1.74/0.64  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.64  % (25140)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/43Mi)
% 1.74/0.65  % (25138)Instruction limit reached!
% 1.74/0.65  % (25138)------------------------------
% 1.74/0.65  % (25138)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.65  % (25138)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.65  % (25138)Termination reason: Time limit
% 1.74/0.65  % (25138)Termination phase: Property scanning
% 1.74/0.65  
% 1.74/0.65  % (25138)Memory used [KB]: 2184
% 1.74/0.65  % (25138)Time elapsed: 0.019 s
% 1.74/0.65  % (25138)Instructions burned: 47 (million)
% 1.74/0.65  % (25139)Instruction limit reached!
% 1.74/0.65  % (25139)------------------------------
% 1.74/0.65  % (25139)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.65  % (25139)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.65  % (25139)Termination reason: Time limit
% 1.74/0.65  % (25139)Termination phase: Property scanning
% 1.74/0.65  
% 1.74/0.65  % (25139)Memory used [KB]: 2184
% 1.74/0.65  % (25139)Time elapsed: 0.015 s
% 1.74/0.65  % (25139)Instructions burned: 45 (million)
% 1.74/0.65  % (25140)Instruction limit reached!
% 1.74/0.65  % (25140)------------------------------
% 1.74/0.65  % (25140)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.65  % (25140)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.65  % (25140)Termination reason: Time limit
% 1.74/0.65  % (25140)Termination phase: Property scanning
% 1.74/0.65  
% 1.74/0.65  % (25140)Memory used [KB]: 2183
% 1.74/0.65  % (25140)Time elapsed: 0.015 s
% 1.74/0.65  % (25140)Instructions burned: 47 (million)
% 1.74/0.66  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.66  % (25141)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 1.74/0.67  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.67  % (25143)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/41Mi)
% 1.74/0.67  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.67  % (25142)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 1.74/0.67  % (25141)Instruction limit reached!
% 1.74/0.67  % (25141)------------------------------
% 1.74/0.67  % (25141)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.67  % (25141)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.67  % (25141)Termination reason: Time limit
% 1.74/0.67  % (25141)Termination phase: Preprocessing 3
% 1.74/0.67  
% 1.74/0.67  % (25141)Memory used [KB]: 1630
% 1.74/0.67  % (25141)Time elapsed: 0.008 s
% 1.74/0.67  % (25141)Instructions burned: 22 (million)
% 1.74/0.67  % (25089)First to succeed.
% 1.74/0.67  % (25142)Instruction limit reached!
% 1.74/0.67  % (25142)------------------------------
% 1.74/0.67  % (25142)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.67  % (25142)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.67  % (25142)Termination reason: Time limit
% 1.74/0.67  % (25142)Termination phase: Preprocessing 1
% 1.74/0.67  
% 1.74/0.67  % (25142)Memory used [KB]: 1284
% 1.74/0.67  % (25142)Time elapsed: 0.007 s
% 1.74/0.67  % (25142)Instructions burned: 22 (million)
% 1.74/0.68  % (25089)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25088"
% 1.74/0.68  % (25088)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.68  % (25089)Refutation found. Thanks to Tanya!
% 1.74/0.68  % SZS status Unsatisfiable for theBenchmark
% 1.74/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.68  % (25089)------------------------------
% 1.74/0.68  % (25089)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.68  % (25089)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.68  % (25089)Termination reason: Refutation
% 1.74/0.68  
% 1.74/0.68  % (25089)Memory used [KB]: 3913
% 1.74/0.68  % (25089)Time elapsed: 0.232 s
% 1.74/0.68  % (25089)Instructions burned: 509 (million)
% 1.74/0.68  % (25089)------------------------------
% 1.74/0.68  % (25089)------------------------------
% 1.74/0.68  % (25088)Success in time 0.297 s
%------------------------------------------------------------------------------