TSTP Solution File: SWW834_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW834_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n011.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 : Sat Sep  2 14:24:08 EDT 2023

% Result   : Unsatisfiable 0.25s 0.67s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  234
% Syntax   : Number of formulae    :  273 (  12 unt; 217 typ;   0 def)
%            Number of atoms       :  133 (  58 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  136 (  59   ~;  46   |;  17   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  116 (  38 atm;  21 fun;  40 num;  17 var)
%            Number of types       :   12 (   9 usr;   2 ari)
%            Number of type conns  :  277 ( 172   >; 105   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  13 usr;   8 prp; 0-3 aty)
%            Number of functors    :  207 ( 202 usr;  39 con; 0-4 aty)
%            Number of variables   :   17 (;   7   !;  10   ?;  17   :)

% 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,
    'S4': $tType ).

tff(type_def_9,type,
    'S6': $tType ).

tff(type_def_10,type,
    'S5': $tType ).

tff(type_def_11,type,
    'S1': $tType ).

tff(type_def_12,type,
    'S3': $tType ).

tff(type_def_13,type,
    'S7': $tType ).

tff(func_def_0,type,
    f18: 'S7' ).

tff(func_def_1,type,
    f22: ( 'S9' * $int ) > $int ).

tff(func_def_2,type,
    f16: 'S6' ).

tff(func_def_3,type,
    f11: 'S2' ).

tff(func_def_4,type,
    f13: ( 'S5' * $real ) > 'S3' ).

tff(func_def_5,type,
    f4: 'S2' ).

tff(func_def_6,type,
    f26: 'S2' ).

tff(func_def_7,type,
    f10: 'S2' ).

tff(func_def_8,type,
    f20: 'S8' ).

tff(func_def_9,type,
    f9: 'S2' ).

tff(func_def_10,type,
    f19: ( 'S8' * 'S4' ) > $int ).

tff(func_def_11,type,
    f6: 'S2' ).

tff(func_def_12,type,
    f3: ( 'S2' * $real ) > $real ).

tff(func_def_13,type,
    f8: 'S2' ).

tff(func_def_14,type,
    f23: 'S9' ).

tff(func_def_15,type,
    f5: $real ).

tff(func_def_16,type,
    f1: 'S1' ).

tff(func_def_17,type,
    f7: $real ).

tff(func_def_18,type,
    f21: 'S2' ).

tff(func_def_19,type,
    f24: 'S2' ).

tff(func_def_20,type,
    f2: 'S1' ).

tff(func_def_21,type,
    f15: ( 'S6' * $int ) > 'S4' ).

tff(func_def_22,type,
    f12: ( 'S3' * 'S4' ) > $real ).

tff(func_def_23,type,
    f17: ( 'S7' * $int ) > $real ).

tff(func_def_24,type,
    f14: 'S5' ).

tff(func_def_25,type,
    f25: ( 'S2' * $real * $real ) > 'S1' ).

tff(func_def_44,type,
    sK6: $real > $real ).

tff(func_def_45,type,
    sK7: $real > $real ).

tff(func_def_46,type,
    sK8: $real > $real ).

tff(func_def_47,type,
    sK9: $real > $real ).

tff(func_def_48,type,
    sK10: $real > $real ).

tff(func_def_49,type,
    sK11: $real > $real ).

tff(func_def_50,type,
    sK12: $real > $real ).

tff(func_def_51,type,
    sK13: $real > $real ).

tff(func_def_52,type,
    sK14: $real > $real ).

tff(func_def_53,type,
    sK15: $real > $real ).

tff(func_def_54,type,
    sK16: $real > $real ).

tff(func_def_55,type,
    sK17: $real > $real ).

tff(func_def_56,type,
    sK18: $real > $real ).

tff(func_def_57,type,
    sK19: $real > $real ).

tff(func_def_58,type,
    sK20: $real > $real ).

tff(func_def_59,type,
    sK21: $real > $real ).

tff(func_def_60,type,
    sK22: $real > $real ).

tff(func_def_61,type,
    sK23: $real > $real ).

tff(func_def_62,type,
    sK24: $real > $real ).

tff(func_def_63,type,
    sK25: $real > $real ).

tff(func_def_64,type,
    sK26: $real > $real ).

tff(func_def_65,type,
    sK27: $real > $real ).

tff(func_def_66,type,
    sK28: $real > $real ).

tff(func_def_67,type,
    sK29: $real > $real ).

tff(func_def_68,type,
    sK30: $real > $real ).

tff(func_def_69,type,
    sK31: $real > $real ).

tff(func_def_70,type,
    sK32: $real > $real ).

tff(func_def_71,type,
    sK33: $real > $real ).

tff(func_def_72,type,
    sK34: $real > $real ).

tff(func_def_73,type,
    sK35: $real > $real ).

tff(func_def_74,type,
    sK36: $real > $real ).

tff(func_def_75,type,
    sK37: $real > $real ).

tff(func_def_76,type,
    sK38: $real > $real ).

tff(func_def_77,type,
    sK39: $real > $real ).

tff(func_def_78,type,
    sK40: $real > $real ).

tff(func_def_79,type,
    sK41: $real > $real ).

tff(func_def_80,type,
    sK42: $real > $real ).

tff(func_def_81,type,
    sK43: $real > $real ).

tff(func_def_82,type,
    sK44: $real > $real ).

tff(func_def_83,type,
    sK45: $real > $real ).

tff(func_def_84,type,
    sK46: $real > $real ).

tff(func_def_85,type,
    sK47: $real > $real ).

tff(func_def_86,type,
    sK48: $real > $real ).

tff(func_def_87,type,
    sK49: $real > 'S4' ).

tff(func_def_88,type,
    sK50: $real > 'S4' ).

tff(func_def_89,type,
    sK51: $real > 'S4' ).

tff(func_def_90,type,
    sK52: $real > 'S4' ).

tff(func_def_91,type,
    sK53: $real > 'S4' ).

tff(func_def_92,type,
    sK54: $real > 'S4' ).

tff(func_def_93,type,
    sK55: $real > 'S4' ).

tff(func_def_94,type,
    sK56: $real > $real ).

tff(func_def_95,type,
    sK57: $real > $real ).

tff(func_def_96,type,
    sK58: $real > $real ).

tff(func_def_97,type,
    sK59: $real > $real ).

tff(func_def_98,type,
    sK60: $real > $real ).

tff(func_def_99,type,
    sK61: $real > $real ).

tff(func_def_100,type,
    sK62: $real > $real ).

tff(func_def_101,type,
    sK63: $real > $real ).

tff(func_def_102,type,
    sK64: $real > $real ).

tff(func_def_103,type,
    sK65: $real > $real ).

tff(func_def_104,type,
    sK66: $real > $real ).

tff(func_def_105,type,
    sK67: $real > $real ).

tff(func_def_106,type,
    sK68: $real > $real ).

tff(func_def_107,type,
    sK69: $real > $real ).

tff(func_def_108,type,
    sK70: $real > $real ).

tff(func_def_109,type,
    sK71: $real > $real ).

tff(func_def_110,type,
    sK72: $real > $real ).

tff(func_def_111,type,
    sK73: $real > $real ).

tff(func_def_112,type,
    sK74: $real > $real ).

tff(func_def_113,type,
    sK75: $real > 'S4' ).

tff(func_def_114,type,
    sK76: $real > $real ).

tff(func_def_115,type,
    sK77: $real > 'S4' ).

tff(func_def_116,type,
    sK78: $real > $real ).

tff(func_def_117,type,
    sK79: $real > $real ).

tff(func_def_118,type,
    sK80: $real > $real ).

tff(func_def_119,type,
    sK81: $real > $real ).

tff(func_def_120,type,
    sK82: $real > $real ).

tff(func_def_121,type,
    sK83: $real > $real ).

tff(func_def_122,type,
    sK84: $real > $real ).

tff(func_def_123,type,
    sK85: $real > $real ).

tff(func_def_124,type,
    sK86: $real > $real ).

tff(func_def_125,type,
    sK87: $real > $real ).

tff(func_def_126,type,
    sK88: $real > $real ).

tff(func_def_127,type,
    sK89: $real > $real ).

tff(func_def_128,type,
    sK90: $real > $real ).

tff(func_def_129,type,
    sK91: $real > $real ).

tff(func_def_130,type,
    sK92: $real > $real ).

tff(func_def_131,type,
    sK93: $real > $real ).

tff(func_def_132,type,
    sK94: $real > $real ).

tff(func_def_133,type,
    sK95: ( $real * $real ) > $real ).

tff(func_def_134,type,
    sK96: ( $real * $real ) > $real ).

tff(func_def_135,type,
    sK97: ( $real * 'S4' ) > $real ).

tff(func_def_136,type,
    sK98: ( $real * $real ) > $real ).

tff(func_def_137,type,
    sK99: ( $real * $real ) > $real ).

tff(func_def_138,type,
    sK100: ( 'S4' * $real ) > $real ).

tff(func_def_139,type,
    sK101: ( 'S4' * $real ) > $real ).

tff(func_def_140,type,
    sK102: ( $real * $real ) > 'S4' ).

tff(func_def_141,type,
    sK103: ( $real * $real ) > 'S4' ).

tff(func_def_142,type,
    sK104: ( $real * $real ) > 'S4' ).

tff(func_def_143,type,
    sK105: ( $real * $real ) > 'S4' ).

tff(func_def_144,type,
    sK106: ( $real * $real ) > 'S4' ).

tff(func_def_145,type,
    sK107: ( $real * $real ) > 'S4' ).

tff(func_def_146,type,
    sK108: ( $real * $real ) > 'S4' ).

tff(func_def_147,type,
    sK109: ( $real * $real ) > 'S4' ).

tff(func_def_148,type,
    sK110: ( $real * $real ) > 'S4' ).

tff(func_def_149,type,
    sK111: ( $real * $real ) > 'S4' ).

tff(func_def_150,type,
    sK112: ( $real * $real ) > 'S4' ).

tff(func_def_151,type,
    sK113: ( $real * $real ) > $real ).

tff(func_def_152,type,
    sK114: ( $real * $real ) > 'S4' ).

tff(func_def_153,type,
    sK115: ( $real * $real ) > $real ).

tff(func_def_154,type,
    sK116: ( $real * $real ) > 'S4' ).

tff(func_def_155,type,
    sK117: ( $real * $real ) > $real ).

tff(func_def_156,type,
    sK118: ( $real * $real ) > $real ).

tff(func_def_157,type,
    sK119: ( $real * $real ) > $real ).

tff(func_def_158,type,
    sK120: ( $real * $real ) > $real ).

tff(func_def_159,type,
    sK121: ( $real * $real ) > $real ).

tff(func_def_160,type,
    sK122: ( $int * $int ) > $int ).

tff(func_def_161,type,
    sK123: ( $int * $real ) > $real ).

tff(func_def_162,type,
    sK124: ( $real * $real ) > $real ).

tff(func_def_163,type,
    sK125: ( $real * $real ) > $real ).

tff(func_def_164,type,
    sK126: ( $real * $real ) > $real ).

tff(func_def_165,type,
    sK127: ( $real * $real ) > 'S4' ).

tff(func_def_166,type,
    sK128: ( $real * $real ) > $real ).

tff(func_def_167,type,
    sK129: ( $real * $real ) > $real ).

tff(func_def_168,type,
    sK130: ( $real * $real ) > $real ).

tff(func_def_169,type,
    sK131: ( $real * $real ) > $real ).

tff(func_def_170,type,
    sK132: ( $real * $real ) > $real ).

tff(func_def_171,type,
    sK133: ( $real * $real ) > $real ).

tff(func_def_172,type,
    sK134: ( $real * $real ) > $real ).

tff(func_def_173,type,
    sK135: ( $real * $real ) > $real ).

tff(func_def_174,type,
    sK136: ( $real * $real ) > $real ).

tff(func_def_175,type,
    sK137: ( $real * $real ) > $real ).

tff(func_def_176,type,
    sK138: ( $real * $real ) > $real ).

tff(func_def_177,type,
    sK139: ( $real * $real ) > $real ).

tff(func_def_178,type,
    sK140: ( $real * $real ) > $real ).

tff(func_def_179,type,
    sK141: ( $real * $real ) > $real ).

tff(func_def_180,type,
    sK142: ( $real * $real ) > $real ).

tff(func_def_181,type,
    sK143: ( $real * $real ) > 'S4' ).

tff(func_def_182,type,
    sK144: ( $real * $real ) > $real ).

tff(func_def_183,type,
    sK145: ( $real * $real ) > $real ).

tff(func_def_184,type,
    sK146: ( $real * $real ) > $real ).

tff(func_def_185,type,
    sK147: ( $real * $real ) > $real ).

tff(func_def_186,type,
    sK148: ( $real * $real ) > $real ).

tff(func_def_187,type,
    sK149: 'S2' > $real ).

tff(func_def_188,type,
    sK150: ( $real * $real * $real ) > $real ).

tff(func_def_189,type,
    sK151: ( $real * $real * $real ) > 'S4' ).

tff(func_def_190,type,
    sK152: ( $real * $real * $real ) > $real ).

tff(func_def_191,type,
    sK153: ( $real * $real * $real ) > $real ).

tff(func_def_192,type,
    sK154: ( $real * $real * $real ) > 'S4' ).

tff(func_def_193,type,
    sK155: ( $real * $real * $real ) > $real ).

tff(func_def_194,type,
    sK156: ( $real * $real * 'S2' * $real ) > $real ).

tff(func_def_195,type,
    sK157: ( 'S2' * $real ) > $real ).

tff(func_def_196,type,
    sK158: ( $real * $real * $real * $real ) > $real ).

tff(func_def_197,type,
    sK159: ( $real * $real * $real * $real ) > $real ).

tff(func_def_198,type,
    sK160: ( $real * $real * $real * $real ) > 'S4' ).

tff(func_def_199,type,
    sK161: ( $real * $real * $real * $real ) > 'S4' ).

tff(func_def_200,type,
    sK162: ( $real * $real * $real * $real ) > 'S4' ).

tff(func_def_201,type,
    sK163: ( $real * $real * $real * $real ) > $real ).

tff(func_def_202,type,
    sK164: $real ).

tff(func_def_203,type,
    sK165: $real ).

tff(func_def_204,type,
    sK166: $real ).

tff(func_def_205,type,
    sK167: $real ).

tff(func_def_206,type,
    sK168: $real ).

tff(func_def_207,type,
    sK169: $real ).

tff(func_def_208,type,
    sK170: $real ).

tff(func_def_209,type,
    sK171: $real ).

tff(func_def_210,type,
    sK172: $real ).

tff(func_def_211,type,
    sK173: $real ).

tff(func_def_212,type,
    sK174: $real ).

tff(func_def_213,type,
    sK175: $real ).

tff(func_def_214,type,
    sK176: $real ).

tff(func_def_215,type,
    sK177: $real ).

tff(func_def_216,type,
    sK178: $real ).

tff(func_def_217,type,
    sK179: $real ).

tff(func_def_218,type,
    sK180: $real ).

tff(func_def_219,type,
    sK181: $real ).

tff(pred_def_5,type,
    sP0: $real > $o ).

tff(pred_def_6,type,
    sP1: $real > $o ).

tff(pred_def_7,type,
    sP2: ( $real * $real * $real ) > $o ).

tff(pred_def_8,type,
    sP3: ( $real * $real * $real ) > $o ).

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

tff(pred_def_10,type,
    sP5: ( $real * $real * $real ) > $o ).

tff(f13476,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1669,f1681,f1682,f1683,f2513,f12473,f12619,f13475]) ).

tff(f13475,plain,
    spl182_5,
    inference(avatar_contradiction_clause,[],[f13474]) ).

tff(f13474,plain,
    ( $false
    | spl182_5 ),
    inference(subsumption_resolution,[],[f13473,f1106]) ).

tff(f1106,plain,
    $less(0.0,f5),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,axiom,
    $less(0.0,f5),
    file('/export/starexec/sandbox/tmp/tmp.fbVdP8nfqj/Vampire---4.8_16898',formula_6) ).

tff(f13473,plain,
    ( ~ $less(0.0,f5)
    | spl182_5 ),
    inference(forward_demodulation,[],[f2504,f1611]) ).

tff(f1611,plain,
    0.0 = sK178,
    inference(cnf_transformation,[],[f1095]) ).

tff(f1095,plain,
    ( ( ( f3(f4,f5) != sK178 )
      | ~ $less(f5,f7)
      | ~ $less(sK178,f5) )
    & ( 0.0 = sK178 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK178])],[f777,f1094]) ).

tff(f1094,plain,
    ( ? [X0: $real] :
        ( ( ( f3(f4,f5) != X0 )
          | ~ $less(f5,f7)
          | ~ $less(X0,f5) )
        & ( 0.0 = X0 ) )
   => ( ( ( f3(f4,f5) != sK178 )
        | ~ $less(f5,f7)
        | ~ $less(sK178,f5) )
      & ( 0.0 = sK178 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f777,plain,
    ? [X0: $real] :
      ( ( ( f3(f4,f5) != X0 )
        | ~ $less(f5,f7)
        | ~ $less(X0,f5) )
      & ( 0.0 = X0 ) ),
    inference(flattening,[],[f776]) ).

tff(f776,plain,
    ? [X0: $real] :
      ( ( ( f3(f4,f5) != X0 )
        | ~ $less(f5,f7)
        | ~ $less(X0,f5) )
      & ( 0.0 = X0 ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,axiom,
    ? [X0: $real] :
      ( ( $less(X0,f5)
       => ( $less(f5,f7)
         => ( f3(f4,f5) != X0 ) ) )
      & ( 0.0 = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.fbVdP8nfqj/Vampire---4.8_16898',formula_3) ).

tff(f2504,plain,
    ( ~ $less(sK178,f5)
    | spl182_5 ),
    inference(avatar_component_clause,[],[f2502]) ).

tff(f2502,plain,
    ( spl182_5
  <=> $less(sK178,f5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl182_5])]) ).

tff(f12619,plain,
    ( ~ spl182_4
    | spl182_7 ),
    inference(avatar_contradiction_clause,[],[f12618]) ).

tff(f12618,plain,
    ( $false
    | ~ spl182_4
    | spl182_7 ),
    inference(subsumption_resolution,[],[f12617,f1611]) ).

tff(f12617,plain,
    ( ( 0.0 != sK178 )
    | ~ spl182_4
    | spl182_7 ),
    inference(forward_demodulation,[],[f2512,f3127]) ).

tff(f3127,plain,
    ( ( 0.0 = sK94(f5) )
    | ~ spl182_4 ),
    inference(superposition,[],[f1410,f1677]) ).

tff(f1677,plain,
    ( ( f3(f4,f5) = 0.0 )
    | ~ spl182_4 ),
    inference(avatar_component_clause,[],[f1676]) ).

tff(f1676,plain,
    ( spl182_4
  <=> ( f3(f4,f5) = 0.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl182_4])]) ).

tff(f1410,plain,
    ! [X0: $real] : ( f3(f4,X0) = sK94(X0) ),
    inference(cnf_transformation,[],[f958]) ).

tff(f958,plain,
    ! [X0: $real] :
      ( ( 1.0 = $sum($product(sK93(X0),sK93(X0)),$product(sK94(X0),sK94(X0))) )
      & ( f3(f4,X0) = sK94(X0) )
      & ( f3(f6,X0) = sK93(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK93,sK94])],[f510,f957]) ).

tff(f957,plain,
    ! [X0: $real] :
      ( ? [X1: $real,X2: $real] :
          ( ( 1.0 = $sum($product(X1,X1),$product(X2,X2)) )
          & ( f3(f4,X0) = X2 )
          & ( f3(f6,X0) = X1 ) )
     => ( ( 1.0 = $sum($product(sK93(X0),sK93(X0)),$product(sK94(X0),sK94(X0))) )
        & ( f3(f4,X0) = sK94(X0) )
        & ( f3(f6,X0) = sK93(X0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f510,plain,
    ! [X0: $real] :
    ? [X1: $real,X2: $real] :
      ( ( 1.0 = $sum($product(X1,X1),$product(X2,X2)) )
      & ( f3(f4,X0) = X2 )
      & ( f3(f6,X0) = X1 ) ),
    inference(rectify,[],[f20]) ).

tff(f20,axiom,
    ! [X2: $real] :
    ? [X5: $real,X6: $real] :
      ( ( 1.0 = $sum($product(X5,X5),$product(X6,X6)) )
      & ( f3(f4,X2) = X6 )
      & ( f3(f6,X2) = X5 ) ),
    file('/export/starexec/sandbox/tmp/tmp.fbVdP8nfqj/Vampire---4.8_16898',formula_20) ).

tff(f2512,plain,
    ( ( sK178 != sK94(f5) )
    | spl182_7 ),
    inference(avatar_component_clause,[],[f2510]) ).

tff(f2510,plain,
    ( spl182_7
  <=> ( sK178 = sK94(f5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl182_7])]) ).

tff(f12473,plain,
    ( spl182_1
    | spl182_6
    | spl182_3 ),
    inference(avatar_split_clause,[],[f11381,f1672,f2506,f1661]) ).

tff(f1661,plain,
    ( spl182_1
  <=> ( f5 = f7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl182_1])]) ).

tff(f2506,plain,
    ( spl182_6
  <=> $less(f5,f7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl182_6])]) ).

tff(f1672,plain,
    ( spl182_3
  <=> $less(f7,f5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl182_3])]) ).

tff(f11381,plain,
    ( $less(f5,f7)
    | ( f5 = f7 )
    | spl182_3 ),
    inference(resolution,[],[f372,f1674]) ).

tff(f1674,plain,
    ( ~ $less(f7,f5)
    | spl182_3 ),
    inference(avatar_component_clause,[],[f1672]) ).

tff(f372,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_147,[]) ).

tff(f2513,plain,
    ( ~ spl182_5
    | ~ spl182_6
    | ~ spl182_7 ),
    inference(avatar_split_clause,[],[f2500,f2510,f2506,f2502]) ).

tff(f2500,plain,
    ( ( sK178 != sK94(f5) )
    | ~ $less(f5,f7)
    | ~ $less(sK178,f5) ),
    inference(forward_demodulation,[],[f1612,f1410]) ).

tff(f1612,plain,
    ( ( f3(f4,f5) != sK178 )
    | ~ $less(f5,f7)
    | ~ $less(sK178,f5) ),
    inference(cnf_transformation,[],[f1095]) ).

tff(f1683,plain,
    spl182_4,
    inference(avatar_split_clause,[],[f1142,f1676]) ).

tff(f1142,plain,
    f3(f4,f5) = 0.0,
    inference(cnf_transformation,[],[f608]) ).

tff(f608,plain,
    ( ( f3(f6,f5) = 1.0 )
    & ( f3(f4,f5) = 0.0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,axiom,
    ~ ( ( f3(f6,f5) != 1.0 )
      | ( f3(f4,f5) != 0.0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.fbVdP8nfqj/Vampire---4.8_16898',formula_2) ).

tff(f1682,plain,
    spl182_2,
    inference(avatar_split_clause,[],[f1143,f1665]) ).

tff(f1665,plain,
    ( spl182_2
  <=> ( f3(f6,f5) = 1.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl182_2])]) ).

tff(f1143,plain,
    f3(f6,f5) = 1.0,
    inference(cnf_transformation,[],[f608]) ).

tff(f1681,plain,
    ( ~ spl182_3
    | ~ spl182_4 ),
    inference(avatar_split_clause,[],[f1680,f1676,f1672]) ).

tff(f1680,plain,
    ( ( f3(f4,f5) != 0.0 )
    | ~ $less(f7,f5) ),
    inference(subsumption_resolution,[],[f1141,f1117]) ).

tff(f1117,plain,
    $less(f5,$product(2.0,f7)),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,axiom,
    $less(f5,$product(2.0,f7)),
    file('/export/starexec/sandbox/tmp/tmp.fbVdP8nfqj/Vampire---4.8_16898',formula_7) ).

tff(f1141,plain,
    ( ( f3(f4,f5) != 0.0 )
    | ~ $less(f5,$product(2.0,f7))
    | ~ $less(f7,f5) ),
    inference(cnf_transformation,[],[f607]) ).

tff(f607,plain,
    ( ( f3(f4,f5) != 0.0 )
    | ~ $less(f5,$product(2.0,f7))
    | ~ $less(f7,f5) ),
    inference(flattening,[],[f606]) ).

tff(f606,plain,
    ( ( f3(f4,f5) != 0.0 )
    | ~ $less(f5,$product(2.0,f7))
    | ~ $less(f7,f5) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,axiom,
    ( $less(f7,f5)
   => ( $less(f5,$product(2.0,f7))
     => ( f3(f4,f5) != 0.0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.fbVdP8nfqj/Vampire---4.8_16898',formula_12) ).

tff(f1669,plain,
    ( ~ spl182_1
    | ~ spl182_2 ),
    inference(avatar_split_clause,[],[f1139,f1665,f1661]) ).

tff(f1139,plain,
    ( ( f3(f6,f5) != 1.0 )
    | ( f5 != f7 ) ),
    inference(cnf_transformation,[],[f603]) ).

tff(f603,plain,
    ( ( f3(f6,f5) != 1.0 )
    | ( f5 != f7 ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f4,axiom,
    ( ( f5 = f7 )
   => ( f3(f6,f5) != 1.0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.fbVdP8nfqj/Vampire---4.8_16898',formula_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.16  % Problem    : SWW834_1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.18  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.39  % Computer : n011.cluster.edu
% 0.18/0.39  % Model    : x86_64 x86_64
% 0.18/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39  % Memory   : 8042.1875MB
% 0.18/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39  % CPULimit   : 300
% 0.18/0.39  % WCLimit    : 300
% 0.18/0.39  % DateTime   : Wed Aug 30 16:48:12 EDT 2023
% 0.18/0.39  % CPUTime    : 
% 0.25/0.45  % (17075)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.47  % (17076)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.25/0.47  % (17077)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.25/0.47  % (17078)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.25/0.47  % (17079)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.25/0.47  % (17080)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.25/0.47  % (17081)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.25/0.47  % (17082)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.25/0.48  % (17076)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.25/0.48  % (17077)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.25/0.48  % (17076)Terminated due to inappropriate strategy.
% 0.25/0.48  % (17076)------------------------------
% 0.25/0.48  % (17076)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.48  % (17077)Terminated due to inappropriate strategy.
% 0.25/0.48  % (17077)------------------------------
% 0.25/0.48  % (17077)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.48  % (17076)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.48  % (17076)Termination reason: Inappropriate
% 0.25/0.48  
% 0.25/0.48  % (17077)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.48  % (17077)Termination reason: Inappropriate
% 0.25/0.48  
% 0.25/0.48  % (17076)Memory used [KB]: 2046
% 0.25/0.48  % (17076)Time elapsed: 0.014 s
% 0.25/0.48  % (17077)Memory used [KB]: 2046
% 0.25/0.48  % (17076)------------------------------
% 0.25/0.48  % (17076)------------------------------
% 0.25/0.48  % (17077)Time elapsed: 0.014 s
% 0.25/0.48  % (17077)------------------------------
% 0.25/0.48  % (17077)------------------------------
% 0.25/0.48  % (17079)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.25/0.48  % (17079)Terminated due to inappropriate strategy.
% 0.25/0.48  % (17079)------------------------------
% 0.25/0.48  % (17079)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.48  % (17079)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.48  % (17079)Termination reason: Inappropriate
% 0.25/0.48  
% 0.25/0.48  % (17079)Memory used [KB]: 2046
% 0.25/0.48  % (17079)Time elapsed: 0.014 s
% 0.25/0.48  % (17079)------------------------------
% 0.25/0.48  % (17079)------------------------------
% 0.25/0.48  % (17083)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.25/0.48  % (17085)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.25/0.48  % (17084)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.25/0.50  % (17083)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.25/0.50  % (17083)Terminated due to inappropriate strategy.
% 0.25/0.50  % (17083)------------------------------
% 0.25/0.50  % (17083)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.50  % (17083)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.50  % (17083)Termination reason: Inappropriate
% 0.25/0.50  
% 0.25/0.50  % (17083)Memory used [KB]: 2046
% 0.25/0.50  % (17083)Time elapsed: 0.014 s
% 0.25/0.50  % (17083)------------------------------
% 0.25/0.50  % (17083)------------------------------
% 0.25/0.50  % (17086)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.25/0.67  % (17085)First to succeed.
% 0.25/0.67  % (17085)Refutation found. Thanks to Tanya!
% 0.25/0.67  % SZS status Unsatisfiable for Vampire---4
% 0.25/0.67  % SZS output start Proof for Vampire---4
% See solution above
% 0.25/0.67  % (17085)------------------------------
% 0.25/0.67  % (17085)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.67  % (17085)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.67  % (17085)Termination reason: Refutation
% 0.25/0.67  
% 0.25/0.67  % (17085)Memory used [KB]: 9978
% 0.25/0.67  % (17085)Time elapsed: 0.183 s
% 0.25/0.67  % (17085)------------------------------
% 0.25/0.67  % (17085)------------------------------
% 0.25/0.67  % (17075)Success in time 0.272 s
% 0.25/0.67  % Vampire---4.8 exiting
%------------------------------------------------------------------------------