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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : COM308_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:04:47 PM UTC 2026

% Result   : Theorem 253.69s 39.14s
% Output   : CNFRefutation 253.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   53 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :  269 (  37 equ)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  132 (  48   ~;  49   |;  29   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :  132 ( 132 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   87 (  85 usr;  22 prp; 0-3 aty)
%            Number of functors    :  337 ( 337 usr;   4 con; 0-5 aty)
%            Number of variables   :   92 (   0 sgn  80   !;  12   ?;  92   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    vrempty: vRow ).

tff(pred_def_1,type,
    vmatchingAttrL: ( vAttrL * vTType ) > $o ).

tff(pred_def_2,type,
    visSomeTType: vOptTType > $o ).

tff(pred_def_3,type,
    visSomeRawTable: vOptRawTable > $o ).

tff(pred_def_4,type,
    vsameLength: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_5,type,
    vfilterSingleRow: ( vRow * ( vAttrL * vPred ) ) > $o ).

tff(pred_def_6,type,
    vlessThan: ( vVal * vVal ) > $o ).

tff(pred_def_7,type,
    visSomeVal: vOptVal > $o ).

tff(pred_def_8,type,
    vwelltypedRawtable: ( vRawTable * vTType ) > $o ).

tff(pred_def_9,type,
    vgreaterThan: ( vVal * vVal ) > $o ).

tff(pred_def_10,type,
    visValue: vQuery > $o ).

tff(pred_def_11,type,
    vwelltypedtable: ( vTable * vTType ) > $o ).

tff(pred_def_12,type,
    visSomeFType: vOptFType > $o ).

tff(pred_def_13,type,
    vtcheckPred: ( vTType * vPred ) > $o ).

tff(pred_def_14,type,
    vrowIn: ( vRawTable * vRow ) > $o ).

tff(pred_def_15,type,
    visSomeTable: vOptTable > $o ).

tff(pred_def_16,type,
    vwelltypedRow: ( vRow * vTType ) > $o ).

tff(pred_def_17,type,
    visSomeQuery: vOptQuery > $o ).

tff(pred_def_18,type,
    vstoreContextConsistent: ( vTTContext * vTStore ) > $o ).

tff(pred_def_19,type,
    vptcheck: ( vTType * ( vQuery * vTTContext ) ) > $o ).

tff(pred_def_20,type,
    sP0: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_21,type,
    sP1: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_22,type,
    sP2: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_23,type,
    sP3: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_24,type,
    sP4: ( vAttrL * vTType ) > $o ).

tff(pred_def_25,type,
    sP5: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_26,type,
    sP6: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_27,type,
    sP7: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_28,type,
    sP8: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_29,type,
    sP9: ( vTStore * vQuery ) > $o ).

tff(pred_def_30,type,
    sP10: ( vTStore * vQuery ) > $o ).

tff(pred_def_31,type,
    sP11: ( vTStore * vQuery ) > $o ).

tff(pred_def_32,type,
    sP12: ( vTStore * vQuery ) > $o ).

tff(pred_def_33,type,
    sP13: ( vTStore * vQuery ) > $o ).

tff(pred_def_34,type,
    sP14: ( vTStore * vQuery ) > $o ).

tff(pred_def_35,type,
    sP15: ( vTStore * vQuery ) > $o ).

tff(pred_def_36,type,
    sP16: ( vTStore * vQuery ) > $o ).

tff(pred_def_37,type,
    sP17: ( vTStore * vQuery ) > $o ).

tff(pred_def_38,type,
    sP18: ( vTStore * vQuery ) > $o ).

tff(pred_def_39,type,
    sP19: ( vTStore * vQuery ) > $o ).

tff(pred_def_40,type,
    sP20: ( vTStore * vQuery ) > $o ).

tff(pred_def_41,type,
    sP21: ( vTStore * vQuery ) > $o ).

tff(pred_def_42,type,
    sP22: ( vTStore * vQuery ) > $o ).

tff(pred_def_43,type,
    sP23: ( vTStore * vQuery ) > $o ).

tff(pred_def_44,type,
    sP24: ( vTStore * vQuery ) > $o ).

tff(pred_def_45,type,
    sP25: ( vTStore * vQuery ) > $o ).

tff(pred_def_46,type,
    sP26: ( vTStore * vQuery ) > $o ).

tff(pred_def_47,type,
    sP27: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_48,type,
    sP28: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_49,type,
    sP29: ( vTStore * vName ) > $o ).

tff(pred_def_50,type,
    sP30: ( vTStore * vName ) > $o ).

tff(pred_def_51,type,
    sP31: ( vTable * vSelect ) > $o ).

tff(pred_def_52,type,
    sP32: ( vTable * vSelect ) > $o ).

tff(pred_def_53,type,
    sP33: ( vRawTable * ( vAttrL * vAttrL ) ) > $o ).

tff(pred_def_54,type,
    sP34: ( vRawTable * ( vAttrL * vAttrL ) ) > $o ).

tff(pred_def_55,type,
    sP35: ( vRawTable * ( vAttrL * vName ) ) > $o ).

tff(pred_def_56,type,
    sP36: ( vRawTable * ( vAttrL * vName ) ) > $o ).

tff(pred_def_57,type,
    sP37: ( vTType * vSelect ) > $o ).

tff(pred_def_58,type,
    sP38: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_59,type,
    sP39: ( vRawTable * vRawTable ) > $o ).

tff(pred_def_60,type,
    sP40: ( vTTContext * vName ) > $o ).

tff(pred_def_61,type,
    sP41: ( vTTContext * vName ) > $o ).

tff(pred_def_62,type,
    sP42: ( vPred * ( vAttrL * vRawTable ) ) > $o ).

tff(pred_def_63,type,
    sP43: ( vPred * ( vAttrL * vRawTable ) ) > $o ).

tff(func_def_64,type,
    vfindColType: ( vTType * vName ) > vOptFType ).

tff(func_def_65,type,
    vinitName: vName ).

tff(func_def_66,type,
    vfilterRows: ( vPred * ( vAttrL * vRawTable ) ) > vRawTable ).

tff(func_def_67,type,
    vprojectType: ( vTType * vSelect ) > vOptTType ).

tff(func_def_68,type,
    vprojectCols: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).

tff(func_def_69,type,
    vrawDifference: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_70,type,
    vappend: ( vAttrL * vAttrL ) > vAttrL ).

tff(func_def_71,type,
    vgetFType: vOptFType > vFType ).

tff(func_def_72,type,
    vgetQuery: vOptQuery > vQuery ).

tff(func_def_73,type,
    vgetTType: vOptTType > vTType ).

tff(func_def_74,type,
    vgetVal: vOptVal > vVal ).

tff(func_def_75,type,
    vgetTable: vOptTable > vTable ).

tff(func_def_76,type,
    vgetRawTable: vOptRawTable > vRawTable ).

tff(func_def_77,type,
    sK44: vRow ).

tff(func_def_78,type,
    sK45: vTType ).

tff(func_def_79,type,
    sK46: ( vTable * vTType ) > vTType ).

tff(func_def_80,type,
    sK47: ( vTable * vTType ) > vAttrL ).

tff(func_def_81,type,
    sK48: ( vTable * vTType ) > vRawTable ).

tff(func_def_82,type,
    sK49: ( vTable * vTType ) > vTType ).

tff(func_def_83,type,
    sK50: ( vTable * vTType ) > vAttrL ).

tff(func_def_84,type,
    sK51: ( vTable * vTType ) > vRawTable ).

tff(func_def_85,type,
    sK52: ( vRawTable * vTType ) > vRow ).

tff(func_def_86,type,
    sK53: ( vRawTable * vTType ) > vRawTable ).

tff(func_def_87,type,
    sK54: ( vRawTable * vTType ) > vTType ).

tff(func_def_88,type,
    sK55: ( vRawTable * vTType ) > vTType ).

tff(func_def_89,type,
    sK56: ( vRawTable * vTType ) > vRow ).

tff(func_def_90,type,
    sK57: ( vRawTable * vTType ) > vRawTable ).

tff(func_def_91,type,
    sK58: ( vRawTable * vTType ) > vTType ).

tff(func_def_92,type,
    sK59: vRawTable > vRow ).

tff(func_def_93,type,
    sK60: vRawTable > vRawTable ).

tff(func_def_94,type,
    sK61: ( vRawTable * vRow ) > vRow ).

tff(func_def_95,type,
    sK62: ( vRawTable * vRow ) > vRow ).

tff(func_def_96,type,
    sK63: ( vRawTable * vRow ) > vRawTable ).

tff(func_def_97,type,
    sK64: ( vRawTable * vRow ) > vRow ).

tff(func_def_98,type,
    sK65: ( vRawTable * vRow ) > vRow ).

tff(func_def_99,type,
    sK66: ( vRawTable * vRow ) > vRawTable ).

tff(func_def_100,type,
    sK67: ( vRawTable * vRow ) > vRow ).

tff(func_def_101,type,
    sK68: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_102,type,
    sK69: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_103,type,
    sK70: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_104,type,
    sK71: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_105,type,
    sK72: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_106,type,
    sK73: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_107,type,
    sK74: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_108,type,
    sK75: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_109,type,
    sK76: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_110,type,
    sK77: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_111,type,
    sK78: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_112,type,
    sK79: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_113,type,
    sK80: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_114,type,
    sK81: ( vRawTable * vRow ) > vRow ).

tff(func_def_115,type,
    sK82: ( vRawTable * vRow ) > vRow ).

tff(func_def_116,type,
    sK83: ( vAttrL * vTType ) > vTType ).

tff(func_def_117,type,
    sK84: ( vAttrL * vTType ) > vAttrL ).

tff(func_def_118,type,
    sK85: ( vAttrL * vTType ) > vTType ).

tff(func_def_119,type,
    sK86: ( vAttrL * vTType ) > vName ).

tff(func_def_120,type,
    sK87: ( vAttrL * vTType ) > vFType ).

tff(func_def_121,type,
    sK88: ( vAttrL * vTType ) > vName ).

tff(func_def_122,type,
    sK89: ( vAttrL * vTType ) > vAttrL ).

tff(func_def_123,type,
    sK90: ( vAttrL * vTType ) > vTType ).

tff(func_def_124,type,
    sK91: ( vAttrL * vTType ) > vName ).

tff(func_def_125,type,
    sK92: ( vAttrL * vTType ) > vFType ).

tff(func_def_126,type,
    sK93: ( vAttrL * vTType ) > vName ).

tff(func_def_127,type,
    sK94: ( vAttrL * vTType ) > vAttrL ).

tff(func_def_128,type,
    sK95: vTType > vName ).

tff(func_def_129,type,
    sK96: vTType > vFType ).

tff(func_def_130,type,
    sK97: vTType > vTType ).

tff(func_def_131,type,
    sK98: vAttrL > vName ).

tff(func_def_132,type,
    sK99: vAttrL > vAttrL ).

tff(func_def_133,type,
    sK100: vTable > vAttrL ).

tff(func_def_134,type,
    sK101: vTable > vRawTable ).

tff(func_def_135,type,
    sK102: vTType > vName ).

tff(func_def_136,type,
    sK103: vTType > vFType ).

tff(func_def_137,type,
    sK104: vTType > vTType ).

tff(func_def_138,type,
    sK105: vRow > vVal ).

tff(func_def_139,type,
    sK106: vRow > vRow ).

tff(func_def_140,type,
    sK107: vOptQuery > vQuery ).

tff(func_def_141,type,
    sK108: vOptQuery > vQuery ).

tff(func_def_142,type,
    sK109: ( vQuery * vQuery ) > vTable ).

tff(func_def_143,type,
    sK110: ( vQuery * vQuery ) > vTable ).

tff(func_def_144,type,
    sK111: ( vQuery * vQuery ) > vTable ).

tff(func_def_145,type,
    sK112: ( vQuery * vQuery ) > vQuery ).

tff(func_def_146,type,
    sK113: ( vQuery * vTable ) > vTable ).

tff(func_def_147,type,
    sK114: ( vQuery * vTable ) > vTable ).

tff(func_def_148,type,
    sK115: vQuery > vTable ).

tff(func_def_149,type,
    sK116: vQuery > vSelect ).

tff(func_def_150,type,
    sK117: vQuery > vName ).

tff(func_def_151,type,
    sK118: vQuery > vPred ).

tff(func_def_152,type,
    sK119: vQuery > vQuery ).

tff(func_def_153,type,
    sK120: vQuery > vQuery ).

tff(func_def_154,type,
    sK121: vQuery > vQuery ).

tff(func_def_155,type,
    sK122: vQuery > vQuery ).

tff(func_def_156,type,
    sK123: vQuery > vQuery ).

tff(func_def_157,type,
    sK124: vQuery > vQuery ).

tff(func_def_158,type,
    sK125: vTable > vAttrL ).

tff(func_def_159,type,
    sK126: vTable > vRawTable ).

tff(func_def_160,type,
    sK127: vTable > vAttrL ).

tff(func_def_161,type,
    sK128: vTable > vRawTable ).

tff(func_def_162,type,
    sK129: ( vQuery * vQuery ) > vTable ).

tff(func_def_163,type,
    sK130: ( vQuery * vQuery ) > vTable ).

tff(func_def_164,type,
    sK131: ( vQuery * vQuery ) > vTable ).

tff(func_def_165,type,
    sK132: ( vQuery * vQuery ) > vQuery ).

tff(func_def_166,type,
    sK133: ( vQuery * vTable ) > vTable ).

tff(func_def_167,type,
    sK134: ( vQuery * vTable ) > vTable ).

tff(func_def_168,type,
    sK135: ( vQuery * vQuery ) > vTable ).

tff(func_def_169,type,
    sK136: ( vQuery * vQuery ) > vTable ).

tff(func_def_170,type,
    sK137: ( vQuery * vQuery ) > vTable ).

tff(func_def_171,type,
    sK138: ( vQuery * vQuery ) > vQuery ).

tff(func_def_172,type,
    sK139: ( vQuery * vTable ) > vTable ).

tff(func_def_173,type,
    sK140: ( vQuery * vTable ) > vTable ).

tff(func_def_174,type,
    sK141: vTType > vName ).

tff(func_def_175,type,
    sK142: vTType > vFType ).

tff(func_def_176,type,
    sK143: vTType > vTType ).

tff(func_def_177,type,
    sK144: vAttrL > vName ).

tff(func_def_178,type,
    sK145: vAttrL > vAttrL ).

tff(func_def_179,type,
    sK146: vRow > vVal ).

tff(func_def_180,type,
    sK147: vRow > vRow ).

tff(func_def_181,type,
    sK148: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_182,type,
    sK149: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_183,type,
    sK150: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_184,type,
    sK151: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_185,type,
    sK152: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_186,type,
    sK153: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_187,type,
    sK154: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_188,type,
    sK155: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_189,type,
    sK156: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_190,type,
    sK157: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_191,type,
    sK158: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_192,type,
    sK159: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_193,type,
    sK160: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_194,type,
    sK161: ( vRawTable * vRow ) > vRow ).

tff(func_def_195,type,
    sK162: ( vRawTable * vRow ) > vRow ).

tff(func_def_196,type,
    sK163: ( vTStore * vQuery ) > vTable ).

tff(func_def_197,type,
    sK164: ( vTStore * vQuery ) > vTable ).

tff(func_def_198,type,
    sK165: ( vTStore * vQuery ) > vTStore ).

tff(func_def_199,type,
    sK166: ( vTStore * vQuery ) > vTable ).

tff(func_def_200,type,
    sK167: ( vTStore * vQuery ) > vTable ).

tff(func_def_201,type,
    sK168: ( vTStore * vQuery ) > vTStore ).

tff(func_def_202,type,
    sK169: ( vTStore * vQuery ) > vTable ).

tff(func_def_203,type,
    sK170: ( vTStore * vQuery ) > vTable ).

tff(func_def_204,type,
    sK171: ( vTStore * vQuery ) > vTStore ).

tff(func_def_205,type,
    sK172: ( vTStore * vQuery ) > vPred ).

tff(func_def_206,type,
    sK173: ( vTStore * vQuery ) > vSelect ).

tff(func_def_207,type,
    sK174: ( vTStore * vQuery ) > vOptTable ).

tff(func_def_208,type,
    sK175: ( vTStore * vQuery ) > vTStore ).

tff(func_def_209,type,
    sK176: ( vTStore * vQuery ) > vName ).

tff(func_def_210,type,
    sK177: ( vTStore * vQuery ) > vTable ).

tff(func_def_211,type,
    sK178: ( vTStore * vQuery ) > vQuery ).

tff(func_def_212,type,
    sK179: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_213,type,
    sK180: ( vTStore * vQuery ) > vTStore ).

tff(func_def_214,type,
    sK181: ( vTStore * vQuery ) > vTable ).

tff(func_def_215,type,
    sK182: ( vTStore * vQuery ) > vQuery ).

tff(func_def_216,type,
    sK183: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_217,type,
    sK184: ( vTStore * vQuery ) > vTStore ).

tff(func_def_218,type,
    sK185: ( vTStore * vQuery ) > vTable ).

tff(func_def_219,type,
    sK186: ( vTStore * vQuery ) > vQuery ).

tff(func_def_220,type,
    sK187: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_221,type,
    sK188: ( vTStore * vQuery ) > vTStore ).

tff(func_def_222,type,
    sK189: ( vTStore * vQuery ) > vTable ).

tff(func_def_223,type,
    sK190: ( vTStore * vQuery ) > vQuery ).

tff(func_def_224,type,
    sK191: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_225,type,
    sK192: ( vTStore * vQuery ) > vTStore ).

tff(func_def_226,type,
    sK193: ( vTStore * vQuery ) > vTable ).

tff(func_def_227,type,
    sK194: ( vTStore * vQuery ) > vQuery ).

tff(func_def_228,type,
    sK195: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_229,type,
    sK196: ( vTStore * vQuery ) > vTStore ).

tff(func_def_230,type,
    sK197: ( vTStore * vQuery ) > vTable ).

tff(func_def_231,type,
    sK198: ( vTStore * vQuery ) > vQuery ).

tff(func_def_232,type,
    sK199: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_233,type,
    sK200: ( vTStore * vQuery ) > vTStore ).

tff(func_def_234,type,
    sK201: ( vTStore * vQuery ) > vQuery ).

tff(func_def_235,type,
    sK202: ( vTStore * vQuery ) > vQuery ).

tff(func_def_236,type,
    sK203: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_237,type,
    sK204: ( vTStore * vQuery ) > vTStore ).

tff(func_def_238,type,
    sK205: ( vTStore * vQuery ) > vQuery ).

tff(func_def_239,type,
    sK206: ( vTStore * vQuery ) > vQuery ).

tff(func_def_240,type,
    sK207: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_241,type,
    sK208: ( vTStore * vQuery ) > vTStore ).

tff(func_def_242,type,
    sK209: ( vTStore * vQuery ) > vQuery ).

tff(func_def_243,type,
    sK210: ( vTStore * vQuery ) > vQuery ).

tff(func_def_244,type,
    sK211: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_245,type,
    sK212: ( vTStore * vQuery ) > vTStore ).

tff(func_def_246,type,
    sK213: ( vTStore * vQuery ) > vQuery ).

tff(func_def_247,type,
    sK214: ( vTStore * vQuery ) > vQuery ).

tff(func_def_248,type,
    sK215: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_249,type,
    sK216: ( vTStore * vQuery ) > vTStore ).

tff(func_def_250,type,
    sK217: ( vTStore * vQuery ) > vQuery ).

tff(func_def_251,type,
    sK218: ( vTStore * vQuery ) > vQuery ).

tff(func_def_252,type,
    sK219: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_253,type,
    sK220: ( vTStore * vQuery ) > vTStore ).

tff(func_def_254,type,
    sK221: ( vTStore * vQuery ) > vQuery ).

tff(func_def_255,type,
    sK222: ( vTStore * vQuery ) > vQuery ).

tff(func_def_256,type,
    sK223: ( vTStore * vQuery ) > vOptQuery ).

tff(func_def_257,type,
    sK224: ( vTStore * vQuery ) > vTStore ).

tff(func_def_258,type,
    sK225: ( vTStore * vQuery ) > vPred ).

tff(func_def_259,type,
    sK226: ( vTStore * vQuery ) > vTable ).

tff(func_def_260,type,
    sK227: ( vTStore * vQuery ) > vSelect ).

tff(func_def_261,type,
    sK228: ( vTStore * vQuery ) > vOptTable ).

tff(func_def_262,type,
    sK229: ( vTStore * vQuery ) > vOptTable ).

tff(func_def_263,type,
    sK230: ( vTStore * vQuery ) > vTStore ).

tff(func_def_264,type,
    sK231: ( vTStore * vQuery ) > vName ).

tff(func_def_265,type,
    sK232: ( vTStore * vQuery ) > vPred ).

tff(func_def_266,type,
    sK233: ( vTStore * vQuery ) > vTable ).

tff(func_def_267,type,
    sK234: ( vTStore * vQuery ) > vSelect ).

tff(func_def_268,type,
    sK235: ( vTStore * vQuery ) > vOptTable ).

tff(func_def_269,type,
    sK236: ( vTStore * vQuery ) > vOptTable ).

tff(func_def_270,type,
    sK237: ( vTStore * vQuery ) > vTStore ).

tff(func_def_271,type,
    sK238: ( vTStore * vQuery ) > vName ).

tff(func_def_272,type,
    sK239: ( vTStore * vQuery ) > vTable ).

tff(func_def_273,type,
    sK240: ( vTStore * vQuery ) > vTStore ).

tff(func_def_274,type,
    sK241: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_275,type,
    sK242: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_276,type,
    sK243: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_277,type,
    sK244: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_278,type,
    sK245: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_279,type,
    sK246: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_280,type,
    sK247: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_281,type,
    sK248: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_282,type,
    sK249: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_283,type,
    sK250: vOptRawTable > vRawTable ).

tff(func_def_284,type,
    sK251: ( vTStore * vName ) > vName ).

tff(func_def_285,type,
    sK252: ( vTStore * vName ) > vTable ).

tff(func_def_286,type,
    sK253: ( vTStore * vName ) > vTStore ).

tff(func_def_287,type,
    sK254: ( vTStore * vName ) > vName ).

tff(func_def_288,type,
    sK255: ( vTStore * vName ) > vName ).

tff(func_def_289,type,
    sK256: ( vTStore * vName ) > vTable ).

tff(func_def_290,type,
    sK257: ( vTStore * vName ) > vTStore ).

tff(func_def_291,type,
    sK258: ( vTStore * vName ) > vName ).

tff(func_def_292,type,
    sK259: ( vTStore * vName ) > vName ).

tff(func_def_293,type,
    sK260: vOptTable > vTable ).

tff(func_def_294,type,
    sK261: vSelect > vAttrL ).

tff(func_def_295,type,
    sK262: ( vTable * vSelect ) > vAttrL ).

tff(func_def_296,type,
    sK263: ( vTable * vSelect ) > vOptRawTable ).

tff(func_def_297,type,
    sK264: ( vTable * vSelect ) > vTable ).

tff(func_def_298,type,
    sK265: ( vTable * vSelect ) > vAttrL ).

tff(func_def_299,type,
    sK266: ( vTable * vSelect ) > vOptRawTable ).

tff(func_def_300,type,
    sK267: ( vTable * vSelect ) > vTable ).

tff(func_def_301,type,
    sK268: ( vTable * vSelect ) > vTable ).

tff(func_def_302,type,
    sK269: ( vRawTable * ( vAttrL * vAttrL ) ) > vRawTable ).

tff(func_def_303,type,
    sK270: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).

tff(func_def_304,type,
    sK271: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).

tff(func_def_305,type,
    sK272: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).

tff(func_def_306,type,
    sK273: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).

tff(func_def_307,type,
    sK274: ( vRawTable * ( vAttrL * vAttrL ) ) > vName ).

tff(func_def_308,type,
    sK275: ( vRawTable * ( vAttrL * vAttrL ) ) > vRawTable ).

tff(func_def_309,type,
    sK276: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).

tff(func_def_310,type,
    sK277: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).

tff(func_def_311,type,
    sK278: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).

tff(func_def_312,type,
    sK279: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).

tff(func_def_313,type,
    sK280: ( vRawTable * ( vAttrL * vAttrL ) ) > vName ).

tff(func_def_314,type,
    sK281: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).

tff(func_def_315,type,
    sK282: ( vRawTable * ( vAttrL * vAttrL ) ) > vRawTable ).

tff(func_def_316,type,
    sK283: vTTContext > vName ).

tff(func_def_317,type,
    sK284: vTTContext > vTType ).

tff(func_def_318,type,
    sK285: vTTContext > vTTContext ).

tff(func_def_319,type,
    sK286: vOptTable > vTable ).

tff(func_def_320,type,
    sK287: ( vPred * vTable ) > vAttrL ).

tff(func_def_321,type,
    sK288: ( vPred * vTable ) > vRawTable ).

tff(func_def_322,type,
    sK289: ( vPred * vTable ) > vPred ).

tff(func_def_323,type,
    sK290: ( vQuery * vQuery ) > vTable ).

tff(func_def_324,type,
    sK291: ( vQuery * vQuery ) > vTable ).

tff(func_def_325,type,
    sK292: ( vQuery * vQuery ) > vTable ).

tff(func_def_326,type,
    sK293: ( vQuery * vQuery ) > vQuery ).

tff(func_def_327,type,
    sK294: ( vQuery * vTable ) > vTable ).

tff(func_def_328,type,
    sK295: ( vQuery * vTable ) > vTable ).

tff(func_def_329,type,
    sK296: ( vQuery * vQuery ) > vTable ).

tff(func_def_330,type,
    sK297: ( vQuery * vQuery ) > vTable ).

tff(func_def_331,type,
    sK298: ( vQuery * vQuery ) > vTable ).

tff(func_def_332,type,
    sK299: ( vQuery * vQuery ) > vQuery ).

tff(func_def_333,type,
    sK300: ( vQuery * vTable ) > vTable ).

tff(func_def_334,type,
    sK301: ( vQuery * vTable ) > vTable ).

tff(func_def_335,type,
    sK302: ( vQuery * vQuery ) > vTable ).

tff(func_def_336,type,
    sK303: ( vQuery * vQuery ) > vTable ).

tff(func_def_337,type,
    sK304: ( vQuery * vQuery ) > vTable ).

tff(func_def_338,type,
    sK305: ( vQuery * vQuery ) > vQuery ).

tff(func_def_339,type,
    sK306: ( vQuery * vTable ) > vTable ).

tff(func_def_340,type,
    sK307: ( vQuery * vTable ) > vTable ).

tff(func_def_341,type,
    sK308: ( vRawTable * ( vAttrL * vName ) ) > vName ).

tff(func_def_342,type,
    sK309: ( vRawTable * ( vAttrL * vName ) ) > vAttrL ).

tff(func_def_343,type,
    sK310: ( vRawTable * ( vAttrL * vName ) ) > vName ).

tff(func_def_344,type,
    sK311: ( vRawTable * ( vAttrL * vName ) ) > vRawTable ).

tff(func_def_345,type,
    sK312: ( vRawTable * ( vAttrL * vName ) ) > vName ).

tff(func_def_346,type,
    sK313: ( vRawTable * ( vAttrL * vName ) ) > vAttrL ).

tff(func_def_347,type,
    sK314: ( vRawTable * ( vAttrL * vName ) ) > vName ).

tff(func_def_348,type,
    sK315: ( vRawTable * ( vAttrL * vName ) ) > vRawTable ).

tff(func_def_349,type,
    sK316: ( vRawTable * ( vAttrL * vName ) ) > vName ).

tff(func_def_350,type,
    sK317: ( vRawTable * ( vAttrL * vName ) ) > vRawTable ).

tff(func_def_351,type,
    sK318: vOptRawTable > vRawTable ).

tff(func_def_352,type,
    sK319: vTStore > vName ).

tff(func_def_353,type,
    sK320: vTStore > vTable ).

tff(func_def_354,type,
    sK321: vTStore > vTStore ).

tff(func_def_355,type,
    sK322: ( vTType * vSelect ) > vAttrL ).

tff(func_def_356,type,
    sK323: ( vTType * vSelect ) > vTType ).

tff(func_def_357,type,
    sK324: ( vTType * vSelect ) > vTType ).

tff(func_def_358,type,
    sK325: ( vRawTable * vRawTable ) > vVal ).

tff(func_def_359,type,
    sK326: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_360,type,
    sK327: ( vRawTable * vRawTable ) > vRow ).

tff(func_def_361,type,
    sK328: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_362,type,
    sK329: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_363,type,
    sK330: ( vRawTable * vRawTable ) > vRawTable ).

tff(func_def_364,type,
    sK331: vRawTable > vVal ).

tff(func_def_365,type,
    sK332: vRawTable > vRawTable ).

tff(func_def_366,type,
    sK333: vRawTable > vRow ).

tff(func_def_367,type,
    sK334: vRawTable > vRawTable ).

tff(func_def_368,type,
    sK335: vRawTable > vRow ).

tff(func_def_369,type,
    sK336: vRawTable > vRawTable ).

tff(func_def_370,type,
    sK337: ( vTTContext * vName ) > vName ).

tff(func_def_371,type,
    sK338: ( vTTContext * vName ) > vTType ).

tff(func_def_372,type,
    sK339: ( vTTContext * vName ) > vTTContext ).

tff(func_def_373,type,
    sK340: ( vTTContext * vName ) > vName ).

tff(func_def_374,type,
    sK341: ( vTTContext * vName ) > vName ).

tff(func_def_375,type,
    sK342: ( vTTContext * vName ) > vTType ).

tff(func_def_376,type,
    sK343: ( vTTContext * vName ) > vTTContext ).

tff(func_def_377,type,
    sK344: ( vTTContext * vName ) > vName ).

tff(func_def_378,type,
    sK345: ( vTTContext * vName ) > vName ).

tff(func_def_379,type,
    sK346: ( vPred * ( vAttrL * vRawTable ) ) > vPred ).

tff(func_def_380,type,
    sK347: ( vPred * ( vAttrL * vRawTable ) ) > vRow ).

tff(func_def_381,type,
    sK348: ( vPred * ( vAttrL * vRawTable ) ) > vRawTable ).

tff(func_def_382,type,
    sK349: ( vPred * ( vAttrL * vRawTable ) ) > vAttrL ).

tff(func_def_383,type,
    sK350: ( vPred * ( vAttrL * vRawTable ) ) > vRawTable ).

tff(func_def_384,type,
    sK351: ( vPred * ( vAttrL * vRawTable ) ) > vPred ).

tff(func_def_385,type,
    sK352: ( vPred * ( vAttrL * vRawTable ) ) > vRow ).

tff(func_def_386,type,
    sK353: ( vPred * ( vAttrL * vRawTable ) ) > vRawTable ).

tff(func_def_387,type,
    sK354: ( vPred * ( vAttrL * vRawTable ) ) > vAttrL ).

tff(func_def_388,type,
    sK355: ( vPred * ( vAttrL * vRawTable ) ) > vRawTable ).

tff(func_def_389,type,
    sK356: ( vPred * ( vAttrL * vRawTable ) ) > vAttrL ).

tff(func_def_390,type,
    sK357: ( vPred * ( vAttrL * vRawTable ) ) > vPred ).

tff(func_def_391,type,
    sK358: vRawTable > vRawTable ).

tff(func_def_392,type,
    sK359: vRawTable > vVal ).

tff(func_def_393,type,
    sK360: vRawTable > vRow ).

tff(func_def_394,type,
    sK361: vRawTable > vRawTable ).

tff(func_def_395,type,
    sK362: vRawTable > vRawTable ).

tff(func_def_396,type,
    sK363: vRawTable > vVal ).

tff(func_def_397,type,
    sK364: vRawTable > vRow ).

tff(func_def_398,type,
    sK365: vRawTable > vRawTable ).

tff(func_def_399,type,
    sK366: ( vTTContext * ( vName * ( vSelect * ( vTType * vPred ) ) ) ) > vTType ).

tff(f42,axiom,
    ! [X0: vRow,X1: vRawTable] : ( vtempty != vtcons(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-tempty-tcons') ).

tff(f113,axiom,
    ! [X0: vTType,X1: vRow,X2: vRawTable] :
      ( vwelltypedRawtable(X0,vtcons(X1,X2))
    <=> ( vwelltypedRawtable(X0,X2)
        & vwelltypedRow(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','welltypedRawtable-1') ).

tff(f121,axiom,
    ! [X0: vRow,X1: vRawTable] :
      ( vrowIn(X0,X1)
     => ? [X2: vRow,X3: vRawTable,X4: vRow] :
          ( ( vrowIn(X4,X3)
            | ( X4 = X2 ) )
          & ( X1 = vtcons(X2,X3) )
          & ( X0 = X4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rowIn-true-INV') ).

tff(f157,axiom,
    ! [X0: vRow,X1: vRawTable,X2: vRawTable] :
      ( ( ~ vrowIn(X0,X2)
        & ! [X3: vRow] :
            ( ( X1 != vtempty )
            | ( X0 != X3 ) ) )
     => ( vrawDifference(vtcons(X0,X1),X2) = vtcons(X0,vrawDifference(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rawDifference-3') ).

tff(f293,axiom,
    ! [X0: vTType,X1: vRawTable] :
      ( ( vwelltypedRawtable(X0,X1)
        & vwelltypedRawtable(X0,vrt2) )
     => vwelltypedRawtable(X0,vrawDifference(vrt2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rawDifferencePreservesWellTypedRaw-tcons-IH0') ).

tff(f294,conjecture,
    ! [X0: vRow,X1: vTType] :
      ( ( vwelltypedRawtable(X1,vtempty)
        & vwelltypedRawtable(X1,vtcons(X0,vrt2))
        & vrowIn(X0,vrt2) )
     => vwelltypedRawtable(X1,vrawDifference(vtcons(X0,vrt2),vtempty)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rawDifferencePreservesWellTypedRaw-tcons-tempty-rowIn-False') ).

tff(f295,negated_conjecture,
    ~ ! [X0: vRow,X1: vTType] :
        ( ( vwelltypedRawtable(X1,vtempty)
          & vwelltypedRawtable(X1,vtcons(X0,vrt2))
          & vrowIn(X0,vrt2) )
       => vwelltypedRawtable(X1,vrawDifference(vtcons(X0,vrt2),vtempty)) ),
    inference(negated_conjecture,[status(cth)],[f294]) ).

tff(f300,plain,
    ? [X0: vRow,X1: vTType] :
      ( vwelltypedRawtable(X1,vtempty)
      & vwelltypedRawtable(X1,vtcons(X0,vrt2))
      & vrowIn(X0,vrt2)
      & ~ vwelltypedRawtable(X1,vrawDifference(vtcons(X0,vrt2),vtempty)) ),
    inference(ennf_transformation,[],[f295]) ).

tff(f301,plain,
    ? [X0: vRow,X1: vTType] :
      ( vwelltypedRawtable(X1,vtempty)
      & vwelltypedRawtable(X1,vtcons(X0,vrt2))
      & vrowIn(X0,vrt2)
      & ~ vwelltypedRawtable(X1,vrawDifference(vtcons(X0,vrt2),vtempty)) ),
    inference(flattening,[],[f300]) ).

tff(f309,plain,
    ! [X0: vRow,X1: vRawTable] :
      ( ~ vrowIn(X0,X1)
      | ? [X2: vRow,X3: vRawTable,X4: vRow] :
          ( ( vrowIn(X4,X3)
            | ( X4 = X2 ) )
          & ( X1 = vtcons(X2,X3) )
          & ( X0 = X4 ) ) ),
    inference(ennf_transformation,[],[f121]) ).

tff(f311,plain,
    ! [X0: vTType,X1: vRawTable] :
      ( ~ vwelltypedRawtable(X0,X1)
      | ~ vwelltypedRawtable(X0,vrt2)
      | vwelltypedRawtable(X0,vrawDifference(vrt2,X1)) ),
    inference(ennf_transformation,[],[f293]) ).

tff(f312,plain,
    ! [X0: vTType,X1: vRawTable] :
      ( ~ vwelltypedRawtable(X0,X1)
      | ~ vwelltypedRawtable(X0,vrt2)
      | vwelltypedRawtable(X0,vrawDifference(vrt2,X1)) ),
    inference(flattening,[],[f311]) ).

tff(f315,plain,
    ! [X0: vRow,X1: vRawTable,X2: vRawTable] :
      ( vrowIn(X0,X2)
      | ? [X3: vRow] :
          ( ( vtempty = X1 )
          & ( X0 = X3 ) )
      | ( vrawDifference(vtcons(X0,X1),X2) = vtcons(X0,vrawDifference(X1,X2)) ) ),
    inference(ennf_transformation,[],[f157]) ).

tff(f316,plain,
    ! [X0: vRow,X1: vRawTable,X2: vRawTable] :
      ( vrowIn(X0,X2)
      | ? [X3: vRow] :
          ( ( vtempty = X1 )
          & ( X0 = X3 ) )
      | ( vrawDifference(vtcons(X0,X1),X2) = vtcons(X0,vrawDifference(X1,X2)) ) ),
    inference(flattening,[],[f315]) ).

tff(f475,plain,
    ( vwelltypedRawtable(sK45,vtempty)
    & vwelltypedRawtable(sK45,vtcons(sK44,vrt2))
    & vrowIn(sK44,vrt2)
    & ~ vwelltypedRawtable(sK45,vrawDifference(vtcons(sK44,vrt2),vtempty)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45]),skolemize(X0,sK44),skolemize(X1,sK45)],[f301]) ).

tff(f482,plain,
    ! [X0: vTType,X1: vRow,X2: vRawTable] :
      ( ( ~ vwelltypedRawtable(X0,vtcons(X1,X2))
        | ( vwelltypedRawtable(X0,X2)
          & vwelltypedRow(X0,X1) ) )
      & ( ~ vwelltypedRawtable(X0,X2)
        | ~ vwelltypedRow(X0,X1)
        | vwelltypedRawtable(X0,vtcons(X1,X2)) ) ),
    inference(nnf_transformation,[],[f113]) ).

tff(f483,plain,
    ! [X0: vTType,X1: vRow,X2: vRawTable] :
      ( ( ~ vwelltypedRawtable(X0,vtcons(X1,X2))
        | ( vwelltypedRawtable(X0,X2)
          & vwelltypedRow(X0,X1) ) )
      & ( ~ vwelltypedRawtable(X0,X2)
        | ~ vwelltypedRow(X0,X1)
        | vwelltypedRawtable(X0,vtcons(X1,X2)) ) ),
    inference(flattening,[],[f482]) ).

tff(f486,plain,
    ! [X0: vRow,X1: vRawTable] :
      ( ~ vrowIn(X0,X1)
      | ( ( vrowIn(sK67(X0,X1),sK66(X0,X1))
          | ( sK65(X0,X1) = sK67(X0,X1) ) )
        & ( vtcons(sK65(X0,X1),sK66(X0,X1)) = X1 )
        & ( sK67(X0,X1) = X0 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK65,sK66,sK67]),skolemize(X2,sK65(X0,X1)),skolemize(X3,sK66(X0,X1)),skolemize(X4,sK67(X0,X1))],[f309]) ).

tff(f503,plain,
    ! [X0: vRow,X1: vRawTable,X2: vRawTable] :
      ( vrowIn(X0,X2)
      | ( ( vtempty = X1 )
        & ( sK82(X0,X1) = X0 ) )
      | ( vrawDifference(vtcons(X0,X1),X2) = vtcons(X0,vrawDifference(X1,X2)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(X3,sK82(X0,X1))],[f316]) ).

tff(f675,plain,
    vwelltypedRawtable(sK45,vtempty),
    inference(cnf_transformation,[],[f475]) ).

tff(f676,plain,
    vwelltypedRawtable(sK45,vtcons(sK44,vrt2)),
    inference(cnf_transformation,[],[f475]) ).

tff(f677,plain,
    vrowIn(sK44,vrt2),
    inference(cnf_transformation,[],[f475]) ).

tff(f678,plain,
    ~ vwelltypedRawtable(sK45,vrawDifference(vtcons(sK44,vrt2),vtempty)),
    inference(cnf_transformation,[],[f475]) ).

tff(f700,plain,
    ! [X2: vRawTable,X0: vTType,X1: vRow] :
      ( ~ vwelltypedRawtable(X0,vtcons(X1,X2))
      | vwelltypedRawtable(X0,X2) ),
    inference(cnf_transformation,[],[f483]) ).

tff(f701,plain,
    ! [X2: vRawTable,X0: vTType,X1: vRow] :
      ( ~ vwelltypedRawtable(X0,vtcons(X1,X2))
      | vwelltypedRow(X0,X1) ),
    inference(cnf_transformation,[],[f483]) ).

tff(f702,plain,
    ! [X2: vRawTable,X0: vTType,X1: vRow] :
      ( ~ vwelltypedRawtable(X0,X2)
      | ~ vwelltypedRow(X0,X1)
      | vwelltypedRawtable(X0,vtcons(X1,X2)) ),
    inference(cnf_transformation,[],[f483]) ).

tff(f704,plain,
    ! [X0: vRow,X1: vRawTable] : ( vtempty != vtcons(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f715,plain,
    ! [X0: vRow,X1: vRawTable] :
      ( ~ vrowIn(X0,X1)
      | ( vtcons(sK65(X0,X1),sK66(X0,X1)) = X1 ) ),
    inference(cnf_transformation,[],[f486]) ).

tff(f723,plain,
    ! [X0: vTType,X1: vRawTable] :
      ( ~ vwelltypedRawtable(X0,X1)
      | ~ vwelltypedRawtable(X0,vrt2)
      | vwelltypedRawtable(X0,vrawDifference(vrt2,X1)) ),
    inference(cnf_transformation,[],[f312]) ).

tff(f750,plain,
    ! [X2: vRawTable,X0: vRow,X1: vRawTable] :
      ( vrowIn(X0,X2)
      | ( vtempty = X1 )
      | ( vrawDifference(vtcons(X0,X1),X2) = vtcons(X0,vrawDifference(X1,X2)) ) ),
    inference(cnf_transformation,[],[f503]) ).

tcf(c_49,negated_conjecture,
    ~ vwelltypedRawtable(sK45,vrawDifference(vtcons(sK44,vrt2),vtempty)),
    inference(cnf_transformation,[],[f678]) ).

tcf(c_50,negated_conjecture,
    vrowIn(sK44,vrt2),
    inference(cnf_transformation,[],[f677]) ).

tcf(c_51,negated_conjecture,
    vwelltypedRawtable(sK45,vtcons(sK44,vrt2)),
    inference(cnf_transformation,[],[f676]) ).

tcf(c_52,negated_conjecture,
    vwelltypedRawtable(sK45,vtempty),
    inference(cnf_transformation,[],[f675]) ).

tcf(c_74,plain,
    ! [X0_vRow: vRow,X0_vRawTable: vRawTable,X0_vTType: vTType] :
      ( vwelltypedRawtable(X0_vTType,vtcons(X0_vRow,X0_vRawTable))
      | ~ vwelltypedRow(X0_vTType,X0_vRow)
      | ~ vwelltypedRawtable(X0_vTType,X0_vRawTable) ),
    inference(cnf_transformation,[],[f702]) ).

tcf(c_75,plain,
    ! [X0_vRow: vRow,X0_vRawTable: vRawTable,X0_vTType: vTType] :
      ( vwelltypedRow(X0_vTType,X0_vRow)
      | ~ vwelltypedRawtable(X0_vTType,vtcons(X0_vRow,X0_vRawTable)) ),
    inference(cnf_transformation,[],[f701]) ).

tcf(c_76,plain,
    ! [X0_vRow: vRow,X0_vRawTable: vRawTable,X0_vTType: vTType] :
      ( vwelltypedRawtable(X0_vTType,X0_vRawTable)
      | ~ vwelltypedRawtable(X0_vTType,vtcons(X0_vRow,X0_vRawTable)) ),
    inference(cnf_transformation,[],[f700]) ).

tcf(c_78,plain,
    ! [X0_vRow: vRow,X0_vRawTable: vRawTable] : vtcons(X0_vRow,X0_vRawTable) != vtempty,
    inference(cnf_transformation,[],[f704]) ).

tcf(c_89,plain,
    ! [X0_vRow: vRow,X0_vRawTable: vRawTable] :
      ( ( vtcons(sK65(X0_vRow,X0_vRawTable),sK66(X0_vRow,X0_vRawTable)) = X0_vRawTable )
      | ~ vrowIn(X0_vRow,X0_vRawTable) ),
    inference(cnf_transformation,[],[f715]) ).

tcf(c_97,plain,
    ! [X0_vRawTable: vRawTable,X0_vTType: vTType] :
      ( vwelltypedRawtable(X0_vTType,vrawDifference(vrt2,X0_vRawTable))
      | ~ vwelltypedRawtable(X0_vTType,vrt2)
      | ~ vwelltypedRawtable(X0_vTType,X0_vRawTable) ),
    inference(cnf_transformation,[],[f723]) ).

tcf(c_125,plain,
    ! [X0_vRow: vRow,X0_vRawTable: vRawTable,X1_vRawTable: vRawTable] :
      ( vrowIn(X0_vRow,X1_vRawTable)
      | ( X0_vRawTable = vtempty )
      | ( vtcons(X0_vRow,vrawDifference(X0_vRawTable,X1_vRawTable)) = vrawDifference(vtcons(X0_vRow,X0_vRawTable),X1_vRawTable) ) ),
    inference(cnf_transformation,[],[f750]) ).

tcf(c_62706,plain,
    vwelltypedRawtable(sK45,vrt2),
    inference(superposition,[status(thm)],[c_51,c_76]) ).

tcf(c_79607,plain,
    ! [X0_vRawTable: vRawTable] :
      ( vwelltypedRawtable(sK45,vrawDifference(vrt2,X0_vRawTable))
      | ~ vwelltypedRawtable(sK45,vrt2)
      | ~ vwelltypedRawtable(sK45,X0_vRawTable) ),
    inference(instantiation,[status(thm)],[c_97]) ).

tcf(c_79608,plain,
    ( vwelltypedRawtable(sK45,vrawDifference(vrt2,vtempty))
    | ~ vwelltypedRawtable(sK45,vrt2)
    | ~ vwelltypedRawtable(sK45,vtempty) ),
    inference(instantiation,[status(thm)],[c_79607]) ).

tcf(c_101138,plain,
    vtcons(sK65(sK44,vrt2),sK66(sK44,vrt2)) = vrt2,
    inference(superposition,[status(thm)],[c_50,c_89]) ).

tcf(c_101621,plain,
    vtempty != vrt2,
    inference(superposition,[status(thm)],[c_101138,c_78]) ).

tcf(c_296980,plain,
    vwelltypedRow(sK45,sK44),
    inference(superposition,[status(thm)],[c_51,c_75]) ).

tcf(c_297654,plain,
    ! [X0_vRow: vRow,X0_vRawTable: vRawTable,X1_vRawTable: vRawTable] :
      ( ( X1_vRawTable = vtempty )
      | ( vtcons(X0_vRow,vrawDifference(X1_vRawTable,X0_vRawTable)) = vrawDifference(vtcons(X0_vRow,X1_vRawTable),X0_vRawTable) )
      | ( vtcons(sK65(X0_vRow,X0_vRawTable),sK66(X0_vRow,X0_vRawTable)) = X0_vRawTable ) ),
    inference(superposition,[status(thm)],[c_125,c_89]) ).

tcf(c_341972,plain,
    ( ( vtempty = vrt2 )
    | ( vtcons(sK65(sK44,vtempty),sK66(sK44,vtempty)) = vtempty )
    | ~ vwelltypedRawtable(sK45,vtcons(sK44,vrawDifference(vrt2,vtempty))) ),
    inference(superposition,[status(thm)],[c_297654,c_49]) ).

tcf(c_342052,plain,
    ~ vwelltypedRawtable(sK45,vtcons(sK44,vrawDifference(vrt2,vtempty))),
    inference(forward_subsumption_resolution,[status(thm)],[c_341972,c_101621,c_78]) ).

tcf(c_345022,plain,
    ( ~ vwelltypedRow(sK45,sK44)
    | ~ vwelltypedRawtable(sK45,vrawDifference(vrt2,vtempty)) ),
    inference(superposition,[status(thm)],[c_74,c_342052]) ).

tcf(c_345023,plain,
    ~ vwelltypedRawtable(sK45,vrawDifference(vrt2,vtempty)),
    inference(forward_subsumption_resolution,[status(thm)],[c_345022,c_296980]) ).

tcf(c_345024,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_345023,c_79608,c_62706,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : COM308_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.44  % Computer : n014.cluster.edu
% 0.17/5.44  % Model    : x86_64 x86_64
% 0.17/5.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44  % Memory   : 8046.5625MB
% 0.17/5.44  % OS       : Linux 6.8.0-71-generic
% 0.17/5.44  % CPULimit : 300
% 0.17/5.44  % WCLimit  : 300
% 0.17/5.44  % DateTime : Fri Sep 25 08:05:08 UTC 2026
% 0.17/5.45  % CPUTime  : 
% 0.17/5.45  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.22/5.51  Running first-order theorem proving
% 0.22/5.51  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/5.52  
% 0.22/5.52  % ======== iProver multi-core TPTP/SMT =========
% 0.22/5.52  
% 0.22/5.52  % Detected problem language: tptp
% 0.22/5.54  % Proving...
% 253.69/39.14  % SZS status Started for theBenchmark.p
% 253.69/39.14  % SZS status Theorem for theBenchmark.p
% 253.69/39.14  
% 253.69/39.14  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 253.69/39.14  
% 253.69/39.14  % ------  iProver source info
% 253.69/39.14  
% 253.69/39.14  % git: date: 2026-07-19 20:42:38 +0200
% 253.69/39.14  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 253.69/39.14  % git: non_committed_changes: false
% 253.69/39.14  
% 253.69/39.14  % ------ Parsing...
% 253.69/39.14  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 253.69/39.14  % 
% 253.69/39.14  
% 253.69/39.14  % ------ Preprocessing... sup_sim: 5  pe_s  pe_e  sup_sim: 0  pe_s  pe_e % 
% 253.69/39.14  
% 253.69/39.14  % ------ Preprocessing...% ------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 253.69/39.14   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % ------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 253.69/39.14  % 
% 253.69/39.14  
% 253.69/39.14  % ------ Preprocessing...
% 253.69/39.14  % ------ Proving...
% 253.69/39.14  % ------ Problem Properties 
% 253.69/39.14  
% 253.69/39.14  % 
% 253.69/39.14  % clauses                               551
% 253.69/39.14  % conjectures                           3
% 253.69/39.14  % EPR                                   23
% 253.69/39.14  % Horn                                  377
% 253.69/39.14  % unary                                 70
% 253.69/39.14  % binary                                326
% 253.69/39.14  % lits                                  1265
% 253.69/39.14  % lits eq                               665
% 253.69/39.14  % fd_pure                               0
% 253.69/39.14  % fd_pseudo                             0
% 253.69/39.14  % fd_cond                               30
% 253.69/39.14  % fd_pseudo_cond                        37
% 253.69/39.14  % AC symbols                            0
% 253.69/39.14  
% 253.69/39.14  % ------ Schedule dynamic 5 is on 
% 253.69/39.14  
% 253.69/39.14  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 253.69/39.14  
% 253.69/39.14  
% 253.69/39.14  % ------ 
% 253.69/39.14  % Current options:
% 253.69/39.14  % ------ 
% 253.69/39.14  
% 253.69/39.14  
% 253.69/39.14  % 
% 253.69/39.14  
% 253.69/39.14  % ------ Proving...
% 253.69/39.14  % Proof_search_loop: time out after: 4383 full_loop iterations
% 253.69/39.14  
% 253.69/39.14  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 253.69/39.14  
% 253.69/39.14  
% 253.69/39.14  % ------ 
% 253.69/39.14  % Current options:
% 253.69/39.14  % ------ 
% 253.69/39.14  
% 253.69/39.14  
% 253.69/39.14  % 
% 253.69/39.14  
% 253.69/39.14  % ------ Proving...
% 253.69/39.14  % Proof_search_loop: time out after: 9181 full_loop iterations
% 253.69/39.14  
% 253.69/39.14  % ------ Option_1: Negative Selections Time Limit: 35.
% 253.69/39.14  
% 253.69/39.14  
% 253.69/39.14  % ------ 
% 253.69/39.14  % Current options:
% 253.69/39.14  % ------ 
% 253.69/39.14  
% 253.69/39.14  
% 253.69/39.14  % 
% 253.69/39.14  
% 253.69/39.14  % ------ Proving...
% 253.69/39.14  % 
% 253.69/39.14  
% 253.69/39.14  % SZS status Theorem for theBenchmark.p
% 253.69/39.14  
% 253.69/39.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 253.69/39.14  
% 253.69/39.14  
%------------------------------------------------------------------------------