Vampire-SAT---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : COM273_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:40:38 AM UTC 2026

% Result   : Theorem 5.66s 1.11s
% Output   : Refutation 5.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  211 (  84 unt;   0 typ;  18 def)
%            Number of atoms       :  369 ( 202 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  300 ( 142   ~; 120   |;  17   &)
%                                         (  11 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :   27 (  26 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  114 ( 112 usr;  12 prp; 0-3 aty)
%            Number of functors    :  513 ( 513 usr;  44 con; 0-4 aty)
%            Number of variables   :  149 (   0 sgn 137   !;  12   ?; 149   :)

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

tff(type_def_6,type,
    vYN: $tType ).

tff(type_def_7,type,
    vMapConf: $tType ).

tff(type_def_8,type,
    vOptAType: $tType ).

tff(type_def_9,type,
    vATMap: $tType ).

tff(type_def_10,type,
    vQuestionnaire: $tType ).

tff(type_def_11,type,
    vOptMapConf: $tType ).

tff(type_def_12,type,
    vQConf: $tType ).

tff(type_def_13,type,
    vstring: $tType ).

tff(type_def_14,type,
    vchar: $tType ).

tff(type_def_15,type,
    vAval: $tType ).

tff(type_def_16,type,
    vOptQConf: $tType ).

tff(type_def_17,type,
    vOptQuestion: $tType ).

tff(type_def_18,type,
    vAnsMap: $tType ).

tff(type_def_19,type,
    vExp: $tType ).

tff(type_def_20,type,
    vQMap: $tType ).

tff(type_def_21,type,
    vQID: $tType ).

tff(type_def_22,type,
    vLabel: $tType ).

tff(type_def_23,type,
    vOptAval: $tType ).

tff(type_def_24,type,
    vnat: $tType ).

tff(type_def_25,type,
    vOptExp: $tType ).

tff(type_def_26,type,
    vGID: $tType ).

tff(type_def_27,type,
    vATList: $tType ).

tff(type_def_28,type,
    vBinOpT: $tType ).

tff(type_def_29,type,
    vUnOpT: $tType ).

tff(type_def_30,type,
    vAType: $tType ).

tff(func_def_0,type,
    vconstant: vAval > vExp ).

tff(func_def_1,type,
    vqmempty: vQMap ).

tff(func_def_2,type,
    vquestion: ( vQID * vLabel * vAType ) > vEntry ).

tff(func_def_3,type,
    vsomeMapConf: vMapConf > vOptMapConf ).

tff(func_def_4,type,
    vsomeExp: vExp > vOptExp ).

tff(func_def_5,type,
    vsubop: vBinOpT ).

tff(func_def_6,type,
    vqcond: ( vExp * vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_7,type,
    vandop: vBinOpT ).

tff(func_def_8,type,
    vnotop: vUnOpT ).

tff(func_def_9,type,
    vNum: vnat > vAval ).

tff(func_def_10,type,
    vnoAType: vOptAType ).

tff(func_def_11,type,
    vyes: vYN ).

tff(func_def_12,type,
    ve1: vExp ).

tff(func_def_13,type,
    vT: vstring > vAval ).

tff(func_def_14,type,
    vNumber: vAType ).

tff(func_def_15,type,
    vdivop: vBinOpT ).

tff(func_def_16,type,
    vzero: vnat ).

tff(func_def_17,type,
    vsucc: vnat > vnat ).

tff(func_def_18,type,
    vabind: ( vQID * vAval * vAnsMap ) > vAnsMap ).

tff(func_def_19,type,
    vnoAval: vOptAval ).

tff(func_def_20,type,
    vYesNo: vAType ).

tff(func_def_21,type,
    vdefquestion: ( vQID * vLabel * vAType ) > vEntry ).

tff(func_def_22,type,
    vunop: ( vUnOpT * vExp ) > vExp ).

tff(func_def_23,type,
    vaempty: vAnsMap ).

tff(func_def_24,type,
    vatempty: vATList ).

tff(func_def_25,type,
    vscons: ( vchar * vstring ) > vstring ).

tff(func_def_26,type,
    vqseq: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_27,type,
    vmulop: vBinOpT ).

tff(func_def_28,type,
    vqempty: vQuestionnaire ).

tff(func_def_29,type,
    vsomeQConf: vQConf > vOptQConf ).

tff(func_def_30,type,
    vnoQConf: vOptQConf ).

tff(func_def_31,type,
    vnoExp: vOptExp ).

tff(func_def_32,type,
    vbinop: ( vExp * vBinOpT * vExp ) > vExp ).

tff(func_def_33,type,
    vB: vYN > vAval ).

tff(func_def_34,type,
    vQC: ( vAnsMap * vQMap * vQuestionnaire ) > vQConf ).

tff(func_def_35,type,
    vorop: vBinOpT ).

tff(func_def_36,type,
    veqop: vBinOpT ).

tff(func_def_37,type,
    vatcons: ( vAType * vATList ) > vATList ).

tff(func_def_38,type,
    vText: vAType ).

tff(func_def_39,type,
    vsomeAval: vAval > vOptAval ).

tff(func_def_40,type,
    vqsingle: vEntry > vQuestionnaire ).

tff(func_def_41,type,
    vMC: ( vATMap * vATMap ) > vMapConf ).

tff(func_def_42,type,
    vaddop: vBinOpT ).

tff(func_def_43,type,
    vsomeQuestion: ( vQID * vLabel * vAType ) > vOptQuestion ).

tff(func_def_44,type,
    vltop: vBinOpT ).

tff(func_def_45,type,
    vqvar: vQID > vExp ).

tff(func_def_46,type,
    vnoMapConf: vOptMapConf ).

tff(func_def_47,type,
    vatmbind: ( vQID * vAType * vATMap ) > vATMap ).

tff(func_def_48,type,
    vgtop: vBinOpT ).

tff(func_def_49,type,
    vsempty: vstring ).

tff(func_def_50,type,
    vqmbind: ( vQID * vLabel * vAType * vQMap ) > vQMap ).

tff(func_def_51,type,
    vask: vQID > vEntry ).

tff(func_def_52,type,
    vsomeAType: vAType > vOptAType ).

tff(func_def_53,type,
    vnoQuestion: vOptQuestion ).

tff(func_def_54,type,
    vqgroup: ( vGID * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_55,type,
    vatmempty: vATMap ).

tff(func_def_56,type,
    vno: vYN ).

tff(func_def_57,type,
    vvalue: ( vQID * vAType * vExp ) > vEntry ).

tff(func_def_58,type,
    vgetAnswer: ( vLabel * vAType ) > vAval ).

tff(func_def_59,type,
    vecheck: ( vATMap * vExp ) > vOptAType ).

tff(func_def_60,type,
    vgetAM: vQConf > vAnsMap ).

tff(func_def_61,type,
    venumGID: vGID > vGID ).

tff(func_def_62,type,
    vaskText: vLabel > vstring ).

tff(func_def_63,type,
    vminus: ( vnat * vnat ) > vnat ).

tff(func_def_64,type,
    vtypeOf: vAval > vAType ).

tff(func_def_65,type,
    vevalBinOp: ( vBinOpT * vAval * vAval ) > vOptExp ).

tff(func_def_66,type,
    vgetQM: vQConf > vQMap ).

tff(func_def_67,type,
    vinitQID: vQID ).

tff(func_def_68,type,
    vplus: ( vnat * vnat ) > vnat ).

tff(func_def_69,type,
    vaskYesNo: vLabel > vYN ).

tff(func_def_70,type,
    vtypeAM: vAnsMap > vATMap ).

tff(func_def_71,type,
    vlookupQMap: ( vQID * vQMap ) > vOptQuestion ).

tff(func_def_72,type,
    vaskNumber: vLabel > vnat ).

tff(func_def_73,type,
    vinitLabel: vLabel ).

tff(func_def_74,type,
    vdivide: ( vnat * vnat ) > vnat ).

tff(func_def_75,type,
    vappendATMap: ( vATMap * vATMap ) > vATMap ).

tff(func_def_76,type,
    vor: ( vYN * vYN ) > vYN ).

tff(func_def_77,type,
    vpred: vnat > vnat ).

tff(func_def_78,type,
    vlookupATMap: ( vQID * vATMap ) > vOptAType ).

tff(func_def_79,type,
    vqcappend: ( vQConf * vQuestionnaire ) > vQConf ).

tff(func_def_80,type,
    venumchar: vchar > vchar ).

tff(func_def_81,type,
    vinitchar: vchar ).

tff(func_def_82,type,
    vgetQuest: vQConf > vQuestionnaire ).

tff(func_def_83,type,
    vevalUnOp: ( vUnOpT * vAval ) > vOptExp ).

tff(func_def_84,type,
    vcheckBinOp: ( vBinOpT * vAType * vAType ) > vOptAType ).

tff(func_def_85,type,
    vnot: vYN > vYN ).

tff(func_def_86,type,
    vreduce: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_87,type,
    vmultiply: ( vnat * vnat ) > vnat ).

tff(func_def_88,type,
    vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_89,type,
    vcheckUnOp: ( vUnOpT * vAType ) > vOptAType ).

tff(func_def_90,type,
    vtypeQM: vQMap > vATMap ).

tff(func_def_91,type,
    vintersectATM: ( vATMap * vATMap ) > vATMap ).

tff(func_def_92,type,
    venumLabel: vLabel > vLabel ).

tff(func_def_93,type,
    vinitGID: vGID ).

tff(func_def_94,type,
    vlt: ( vnat * vnat ) > vYN ).

tff(func_def_95,type,
    vgt: ( vnat * vnat ) > vYN ).

tff(func_def_96,type,
    vlookupAnsMap: ( vQID * vAnsMap ) > vOptAval ).

tff(func_def_97,type,
    vreduceExp: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_98,type,
    venumQID: vQID > vQID ).

tff(func_def_99,type,
    vand: ( vYN * vYN ) > vYN ).

tff(func_def_100,type,
    vappend: ( vATList * vATList ) > vATList ).

tff(func_def_101,type,
    vgetQuestionQID: vOptQuestion > vQID ).

tff(func_def_102,type,
    vgetMapConf: vOptMapConf > vMapConf ).

tff(func_def_103,type,
    vgetQuestionLabel: vOptQuestion > vLabel ).

tff(func_def_104,type,
    vgetAType: vOptAType > vAType ).

tff(func_def_105,type,
    vgetQuestionAType: vOptQuestion > vAType ).

tff(func_def_106,type,
    vgetQC: vOptQConf > vQConf ).

tff(func_def_107,type,
    vgetExpValue: vExp > vAval ).

tff(func_def_108,type,
    vgetAval: vOptAval > vAval ).

tff(func_def_109,type,
    vgetExp: vOptExp > vExp ).

tff(func_def_110,type,
    sK92: vEntry > vQID ).

tff(func_def_111,type,
    sK93: vEntry > vLabel ).

tff(func_def_112,type,
    sK94: vEntry > vAType ).

tff(func_def_113,type,
    sK95: vEntry > vQID ).

tff(func_def_114,type,
    sK96: vEntry > vAType ).

tff(func_def_115,type,
    sK97: vEntry > vExp ).

tff(func_def_116,type,
    sK98: vEntry > vQID ).

tff(func_def_117,type,
    sK99: vEntry > vLabel ).

tff(func_def_118,type,
    sK100: vEntry > vAType ).

tff(func_def_119,type,
    sK101: vEntry > vQID ).

tff(func_def_120,type,
    sK102: vQMap > vQID ).

tff(func_def_121,type,
    sK103: vQMap > vLabel ).

tff(func_def_122,type,
    sK104: vQMap > vAType ).

tff(func_def_123,type,
    sK105: vQMap > vQMap ).

tff(func_def_124,type,
    sK106: vMapConf > vATMap ).

tff(func_def_125,type,
    sK107: vMapConf > vATMap ).

tff(func_def_126,type,
    sK108: vExp > vAval ).

tff(func_def_127,type,
    sK109: vExp > vQID ).

tff(func_def_128,type,
    sK110: vExp > vExp ).

tff(func_def_129,type,
    sK111: vExp > vBinOpT ).

tff(func_def_130,type,
    sK112: vExp > vExp ).

tff(func_def_131,type,
    sK113: vExp > vUnOpT ).

tff(func_def_132,type,
    sK114: vExp > vExp ).

tff(func_def_133,type,
    sK115: vnat > vnat ).

tff(func_def_134,type,
    sK116: vQuestionnaire > vEntry ).

tff(func_def_135,type,
    sK117: vQuestionnaire > vQuestionnaire ).

tff(func_def_136,type,
    sK118: vQuestionnaire > vQuestionnaire ).

tff(func_def_137,type,
    sK119: vQuestionnaire > vExp ).

tff(func_def_138,type,
    sK120: vQuestionnaire > vQuestionnaire ).

tff(func_def_139,type,
    sK121: vQuestionnaire > vQuestionnaire ).

tff(func_def_140,type,
    sK122: vQuestionnaire > vGID ).

tff(func_def_141,type,
    sK123: vQuestionnaire > vQuestionnaire ).

tff(func_def_142,type,
    sK124: vOptQConf > vQConf ).

tff(func_def_143,type,
    sK125: vOptAType > vAType ).

tff(func_def_144,type,
    sK126: vAval > vYN ).

tff(func_def_145,type,
    sK127: vAval > vnat ).

tff(func_def_146,type,
    sK128: vAval > vstring ).

tff(func_def_147,type,
    sK129: vOptExp > vExp ).

tff(func_def_148,type,
    sK130: vAnsMap > vQID ).

tff(func_def_149,type,
    sK131: vAnsMap > vAval ).

tff(func_def_150,type,
    sK132: vAnsMap > vAnsMap ).

tff(func_def_151,type,
    sK133: vATList > vAType ).

tff(func_def_152,type,
    sK134: vATList > vATList ).

tff(func_def_153,type,
    sK135: vOptQuestion > vQID ).

tff(func_def_154,type,
    sK136: vOptQuestion > vLabel ).

tff(func_def_155,type,
    sK137: vOptQuestion > vAType ).

tff(func_def_156,type,
    sK138: vATMap > vQID ).

tff(func_def_157,type,
    sK139: vATMap > vAType ).

tff(func_def_158,type,
    sK140: vATMap > vATMap ).

tff(func_def_159,type,
    sK141: vstring > vchar ).

tff(func_def_160,type,
    sK142: vstring > vstring ).

tff(func_def_161,type,
    sK143: vOptMapConf > vMapConf ).

tff(func_def_162,type,
    sK144: vQConf > vAnsMap ).

tff(func_def_163,type,
    sK145: vQConf > vQMap ).

tff(func_def_164,type,
    sK146: vQConf > vQuestionnaire ).

tff(func_def_165,type,
    sK147: vOptAval > vAval ).

tff(func_def_166,type,
    sK148: ( vYN * vYN ) > vYN ).

tff(func_def_167,type,
    sK149: ( vYN * vYN ) > vYN ).

tff(func_def_168,type,
    sK150: ( vYN * vYN ) > vYN ).

tff(func_def_169,type,
    sK151: ( vYN * vYN ) > vYN ).

tff(func_def_170,type,
    sK152: vnat > vnat ).

tff(func_def_171,type,
    sK153: ( vnat * vnat ) > vnat ).

tff(func_def_172,type,
    sK154: ( vnat * vnat ) > vnat ).

tff(func_def_173,type,
    sK155: ( vnat * vnat ) > vnat ).

tff(func_def_174,type,
    sK156: ( vnat * vnat ) > vnat ).

tff(func_def_175,type,
    sK157: ( vnat * vnat ) > vnat ).

tff(func_def_176,type,
    sK158: ( vnat * vnat ) > vnat ).

tff(func_def_177,type,
    sK159: ( vnat * vnat ) > vnat ).

tff(func_def_178,type,
    sK160: ( vnat * vnat ) > vnat ).

tff(func_def_179,type,
    sK161: ( vnat * vnat ) > vnat ).

tff(func_def_180,type,
    sK162: ( vnat * vnat ) > vnat ).

tff(func_def_181,type,
    sK163: ( vnat * vnat ) > vnat ).

tff(func_def_182,type,
    sK164: ( vnat * vnat ) > vnat ).

tff(func_def_183,type,
    sK165: ( vnat * vnat ) > vnat ).

tff(func_def_184,type,
    sK166: ( vnat * vnat ) > vnat ).

tff(func_def_185,type,
    sK167: ( vnat * vnat ) > vnat ).

tff(func_def_186,type,
    sK168: ( vnat * vnat ) > vnat ).

tff(func_def_187,type,
    sK169: ( vnat * vnat ) > vnat ).

tff(func_def_188,type,
    sK170: ( vnat * vnat ) > vnat ).

tff(func_def_189,type,
    sK171: ( vnat * vnat ) > vnat ).

tff(func_def_190,type,
    sK172: ( vnat * vnat ) > vnat ).

tff(func_def_191,type,
    sK173: ( vnat * vnat ) > vnat ).

tff(func_def_192,type,
    sK174: vOptAval > vAval ).

tff(func_def_193,type,
    sK175: vOptAType > vAType ).

tff(func_def_194,type,
    sK176: vAval > vYN ).

tff(func_def_195,type,
    sK177: vAval > vnat ).

tff(func_def_196,type,
    sK178: vAval > vstring ).

tff(func_def_197,type,
    sK179: ( vATList * vATList ) > vAType ).

tff(func_def_198,type,
    sK180: ( vATList * vATList ) > vATList ).

tff(func_def_199,type,
    sK181: ( vATList * vATList ) > vATList ).

tff(func_def_200,type,
    sK182: ( vATList * vATList ) > vATList ).

tff(func_def_201,type,
    sK183: ( vQID * vAnsMap ) > vQID ).

tff(func_def_202,type,
    sK184: ( vQID * vAnsMap ) > vAval ).

tff(func_def_203,type,
    sK185: ( vQID * vAnsMap ) > vAnsMap ).

tff(func_def_204,type,
    sK186: ( vQID * vAnsMap ) > vQID ).

tff(func_def_205,type,
    sK187: ( vQID * vAnsMap ) > vQID ).

tff(func_def_206,type,
    sK188: ( vQID * vAnsMap ) > vAval ).

tff(func_def_207,type,
    sK189: ( vQID * vAnsMap ) > vAnsMap ).

tff(func_def_208,type,
    sK190: ( vQID * vAnsMap ) > vQID ).

tff(func_def_209,type,
    sK191: ( vQID * vAnsMap ) > vQID ).

tff(func_def_210,type,
    sK192: ( vAnsMap * vAnsMap ) > vQID ).

tff(func_def_211,type,
    sK193: ( vAnsMap * vAnsMap ) > vAval ).

tff(func_def_212,type,
    sK194: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_213,type,
    sK195: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_214,type,
    sK196: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_215,type,
    sK197: vOptQuestion > vQID ).

tff(func_def_216,type,
    sK198: vOptQuestion > vLabel ).

tff(func_def_217,type,
    sK199: vOptQuestion > vAType ).

tff(func_def_218,type,
    sK200: ( vQID * vQMap ) > vQMap ).

tff(func_def_219,type,
    sK201: ( vQID * vQMap ) > vQID ).

tff(func_def_220,type,
    sK202: ( vQID * vQMap ) > vAType ).

tff(func_def_221,type,
    sK203: ( vQID * vQMap ) > vLabel ).

tff(func_def_222,type,
    sK204: ( vQID * vQMap ) > vQID ).

tff(func_def_223,type,
    sK205: ( vQID * vQMap ) > vQMap ).

tff(func_def_224,type,
    sK206: ( vQID * vQMap ) > vQID ).

tff(func_def_225,type,
    sK207: ( vQID * vQMap ) > vAType ).

tff(func_def_226,type,
    sK208: ( vQID * vQMap ) > vLabel ).

tff(func_def_227,type,
    sK209: ( vQID * vQMap ) > vQID ).

tff(func_def_228,type,
    sK210: ( vQID * vQMap ) > vQID ).

tff(func_def_229,type,
    sK211: vQConf > vAnsMap ).

tff(func_def_230,type,
    sK212: vQConf > vQMap ).

tff(func_def_231,type,
    sK213: vQConf > vQuestionnaire ).

tff(func_def_232,type,
    sK214: vQConf > vAnsMap ).

tff(func_def_233,type,
    sK215: vQConf > vQMap ).

tff(func_def_234,type,
    sK216: vQConf > vQuestionnaire ).

tff(func_def_235,type,
    sK217: vQConf > vAnsMap ).

tff(func_def_236,type,
    sK218: vQConf > vQMap ).

tff(func_def_237,type,
    sK219: vQConf > vQuestionnaire ).

tff(func_def_238,type,
    sK220: vQuestionnaire > vQuestionnaire ).

tff(func_def_239,type,
    sK221: vOptQConf > vQConf ).

tff(func_def_240,type,
    sK222: ( vQConf * vQuestionnaire ) > vAnsMap ).

tff(func_def_241,type,
    sK223: ( vQConf * vQuestionnaire ) > vQMap ).

tff(func_def_242,type,
    sK224: ( vQConf * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_243,type,
    sK225: ( vQConf * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_244,type,
    sK226: vOptExp > vExp ).

tff(func_def_245,type,
    sK227: vExp > vAval ).

tff(func_def_246,type,
    sK228: vExp > vAval ).

tff(func_def_247,type,
    sK229: vExp > vExp ).

tff(func_def_248,type,
    sK230: ( vLabel * vAType ) > vLabel ).

tff(func_def_249,type,
    sK231: ( vLabel * vAType ) > vLabel ).

tff(func_def_250,type,
    sK232: ( vLabel * vAType ) > vLabel ).

tff(func_def_251,type,
    sK233: vAval > vnat ).

tff(func_def_252,type,
    sK234: vAval > vnat ).

tff(func_def_253,type,
    sK235: vAval > vnat ).

tff(func_def_254,type,
    sK236: vAval > vnat ).

tff(func_def_255,type,
    sK237: vAval > vnat ).

tff(func_def_256,type,
    sK238: vAval > vnat ).

tff(func_def_257,type,
    sK239: vAval > vnat ).

tff(func_def_258,type,
    sK240: vAval > vnat ).

tff(func_def_259,type,
    sK241: vAval > vnat ).

tff(func_def_260,type,
    sK242: vAval > vnat ).

tff(func_def_261,type,
    sK243: vAval > vYN ).

tff(func_def_262,type,
    sK244: vAval > vYN ).

tff(func_def_263,type,
    sK245: vAval > vYN ).

tff(func_def_264,type,
    sK246: vAval > vYN ).

tff(func_def_265,type,
    sK247: vAval > vnat ).

tff(func_def_266,type,
    sK248: vAval > vnat ).

tff(func_def_267,type,
    sK249: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_268,type,
    sK250: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_269,type,
    sK251: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_270,type,
    sK252: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_271,type,
    sK253: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_272,type,
    sK254: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_273,type,
    sK255: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_274,type,
    sK256: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_275,type,
    sK257: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_276,type,
    sK258: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_277,type,
    sK259: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_278,type,
    sK260: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_279,type,
    sK261: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_280,type,
    sK262: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_281,type,
    sK263: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_282,type,
    sK264: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_283,type,
    sK265: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_284,type,
    sK266: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_285,type,
    sK267: ( vBinOpT * vAval * vAval ) > vBinOpT ).

tff(func_def_286,type,
    sK268: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_287,type,
    sK269: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_288,type,
    sK270: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_289,type,
    sK271: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_290,type,
    sK272: vAval > vYN ).

tff(func_def_291,type,
    sK273: ( vUnOpT * vAval ) > vUnOpT ).

tff(func_def_292,type,
    sK274: ( vUnOpT * vAval ) > vAval ).

tff(func_def_293,type,
    sK275: ( vUnOpT * vAval ) > vYN ).

tff(func_def_294,type,
    sK276: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_295,type,
    sK277: ( vExp * vAnsMap ) > vExp ).

tff(func_def_296,type,
    sK278: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_297,type,
    sK279: ( vExp * vAnsMap ) > vQID ).

tff(func_def_298,type,
    sK280: ( vExp * vAnsMap ) > vOptAval ).

tff(func_def_299,type,
    sK281: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_300,type,
    sK282: ( vExp * vAnsMap ) > vQID ).

tff(func_def_301,type,
    sK283: ( vExp * vAnsMap ) > vOptAval ).

tff(func_def_302,type,
    sK284: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_303,type,
    sK285: ( vExp * vAnsMap ) > vExp ).

tff(func_def_304,type,
    sK286: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_305,type,
    sK287: ( vExp * vAnsMap ) > vExp ).

tff(func_def_306,type,
    sK288: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_307,type,
    sK289: ( vExp * vAnsMap ) > vExp ).

tff(func_def_308,type,
    sK290: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_309,type,
    sK291: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_310,type,
    sK292: ( vExp * vAnsMap ) > vExp ).

tff(func_def_311,type,
    sK293: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_312,type,
    sK294: ( vExp * vAnsMap ) > vExp ).

tff(func_def_313,type,
    sK295: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_314,type,
    sK296: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_315,type,
    sK297: ( vExp * vAnsMap ) > vExp ).

tff(func_def_316,type,
    sK298: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_317,type,
    sK299: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_318,type,
    sK300: ( vExp * vAnsMap ) > vExp ).

tff(func_def_319,type,
    sK301: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_320,type,
    sK302: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_321,type,
    sK303: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_322,type,
    sK304: ( vExp * vAnsMap ) > vExp ).

tff(func_def_323,type,
    sK305: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_324,type,
    sK306: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_325,type,
    sK307: ( vExp * vAnsMap ) > vExp ).

tff(func_def_326,type,
    sK308: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_327,type,
    sK309: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_328,type,
    sK310: ( vExp * vAnsMap ) > vExp ).

tff(func_def_329,type,
    sK311: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_330,type,
    sK312: ( vExp * vAnsMap ) > vExp ).

tff(func_def_331,type,
    sK313: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_332,type,
    sK314: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_333,type,
    sK315: ( vExp * vAnsMap ) > vExp ).

tff(func_def_334,type,
    sK316: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_335,type,
    sK317: ( vExp * vAnsMap ) > vAval ).

tff(func_def_336,type,
    sK318: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_337,type,
    sK319: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_338,type,
    sK320: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_339,type,
    sK321: ( vExp * vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_340,type,
    sK322: ( vExp * vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_341,type,
    sK323: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_342,type,
    sK324: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_343,type,
    sK325: ( vExp * vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_344,type,
    sK326: ( vExp * vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_345,type,
    sK327: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_346,type,
    sK328: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_347,type,
    sK329: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_348,type,
    sK330: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_349,type,
    sK331: ( vQuestionnaire * vAnsMap * vQMap ) > vLabel ).

tff(func_def_350,type,
    sK332: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_351,type,
    sK333: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_352,type,
    sK334: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_353,type,
    sK335: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_354,type,
    sK336: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_355,type,
    sK337: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_356,type,
    sK338: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_357,type,
    sK339: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_358,type,
    sK340: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_359,type,
    sK341: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_360,type,
    sK342: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_361,type,
    sK343: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_362,type,
    sK344: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_363,type,
    sK345: ( vQuestionnaire * vAnsMap * vQMap ) > vGID ).

tff(func_def_364,type,
    sK346: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_365,type,
    sK347: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_366,type,
    sK348: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_367,type,
    sK349: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_368,type,
    sK350: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_369,type,
    sK351: ( vQuestionnaire * vAnsMap * vQMap ) > vLabel ).

tff(func_def_370,type,
    sK352: ( vQuestionnaire * vAnsMap * vQMap ) > vAval ).

tff(func_def_371,type,
    sK353: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_372,type,
    sK354: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_373,type,
    sK355: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_374,type,
    sK356: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_375,type,
    sK357: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_376,type,
    sK358: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_377,type,
    sK359: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_378,type,
    sK360: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_379,type,
    sK361: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQuestion ).

tff(func_def_380,type,
    sK362: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_381,type,
    sK363: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_382,type,
    sK364: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_383,type,
    sK365: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQuestion ).

tff(func_def_384,type,
    sK366: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_385,type,
    sK367: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_386,type,
    sK368: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_387,type,
    sK369: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_388,type,
    sK370: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_389,type,
    sK371: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_390,type,
    sK372: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_391,type,
    sK373: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_392,type,
    sK374: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_393,type,
    sK375: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_394,type,
    sK376: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_395,type,
    sK377: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_396,type,
    sK378: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_397,type,
    sK379: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_398,type,
    sK380: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_399,type,
    sK381: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_400,type,
    sK382: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_401,type,
    sK383: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_402,type,
    sK384: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_403,type,
    sK385: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_404,type,
    sK386: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_405,type,
    sK387: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_406,type,
    sK388: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_407,type,
    sK389: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_408,type,
    sK390: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_409,type,
    sK391: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_410,type,
    sK392: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_411,type,
    sK393: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_412,type,
    sK394: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_413,type,
    sK395: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_414,type,
    sK396: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_415,type,
    sK397: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_416,type,
    sK398: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_417,type,
    sK399: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_418,type,
    sK400: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_419,type,
    sK401: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_420,type,
    sK402: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_421,type,
    sK403: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_422,type,
    sK404: ( vQID * vATMap ) > vQID ).

tff(func_def_423,type,
    sK405: ( vQID * vATMap ) > vAType ).

tff(func_def_424,type,
    sK406: ( vQID * vATMap ) > vATMap ).

tff(func_def_425,type,
    sK407: ( vQID * vATMap ) > vQID ).

tff(func_def_426,type,
    sK408: ( vQID * vATMap ) > vQID ).

tff(func_def_427,type,
    sK409: ( vQID * vATMap ) > vAType ).

tff(func_def_428,type,
    sK410: ( vQID * vATMap ) > vATMap ).

tff(func_def_429,type,
    sK411: ( vQID * vATMap ) > vQID ).

tff(func_def_430,type,
    sK412: ( vQID * vATMap ) > vQID ).

tff(func_def_431,type,
    sK413: ( vATMap * vATMap ) > vQID ).

tff(func_def_432,type,
    sK414: ( vATMap * vATMap ) > vAType ).

tff(func_def_433,type,
    sK415: ( vATMap * vATMap ) > vATMap ).

tff(func_def_434,type,
    sK416: ( vATMap * vATMap ) > vATMap ).

tff(func_def_435,type,
    sK417: ( vATMap * vATMap ) > vATMap ).

tff(func_def_436,type,
    sK418: ( vATMap * vATMap ) > vATMap ).

tff(func_def_437,type,
    sK419: ( vATMap * vATMap ) > vATMap ).

tff(func_def_438,type,
    sK420: ( vATMap * vATMap ) > vOptAType ).

tff(func_def_439,type,
    sK421: ( vATMap * vATMap ) > vAType ).

tff(func_def_440,type,
    sK422: ( vATMap * vATMap ) > vATMap ).

tff(func_def_441,type,
    sK423: ( vATMap * vATMap ) > vQID ).

tff(func_def_442,type,
    sK424: ( vATMap * vATMap ) > vATMap ).

tff(func_def_443,type,
    sK425: ( vATMap * vATMap ) > vATMap ).

tff(func_def_444,type,
    sK426: ( vATMap * vATMap ) > vOptAType ).

tff(func_def_445,type,
    sK427: ( vATMap * vATMap ) > vAType ).

tff(func_def_446,type,
    sK428: ( vATMap * vATMap ) > vATMap ).

tff(func_def_447,type,
    sK429: ( vATMap * vATMap ) > vQID ).

tff(func_def_448,type,
    sK430: ( vATMap * vATMap ) > vATMap ).

tff(func_def_449,type,
    sK431: vOptMapConf > vMapConf ).

tff(func_def_450,type,
    sK432: vAnsMap > vQID ).

tff(func_def_451,type,
    sK433: vAnsMap > vAval ).

tff(func_def_452,type,
    sK434: vAnsMap > vAnsMap ).

tff(func_def_453,type,
    sK435: vQMap > vQID ).

tff(func_def_454,type,
    sK436: vQMap > vLabel ).

tff(func_def_455,type,
    sK437: vQMap > vAType ).

tff(func_def_456,type,
    sK438: vQMap > vQMap ).

tff(func_def_457,type,
    sK439: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_458,type,
    sK440: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_459,type,
    sK441: ( vBinOpT * vAType * vAType ) > vBinOpT ).

tff(func_def_460,type,
    sK442: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_461,type,
    sK443: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_462,type,
    sK444: ( vUnOpT * vAType ) > vUnOpT ).

tff(func_def_463,type,
    sK445: ( vUnOpT * vAType ) > vAType ).

tff(func_def_464,type,
    sK446: ( vATMap * vExp ) > vnat ).

tff(func_def_465,type,
    sK447: ( vATMap * vExp ) > vATMap ).

tff(func_def_466,type,
    sK448: ( vATMap * vExp ) > vstring ).

tff(func_def_467,type,
    sK449: ( vATMap * vExp ) > vATMap ).

tff(func_def_468,type,
    sK450: ( vATMap * vExp ) > vQID ).

tff(func_def_469,type,
    sK451: ( vATMap * vExp ) > vATMap ).

tff(func_def_470,type,
    sK452: ( vATMap * vExp ) > vUnOpT ).

tff(func_def_471,type,
    sK453: ( vATMap * vExp ) > vExp ).

tff(func_def_472,type,
    sK454: ( vATMap * vExp ) > vOptAType ).

tff(func_def_473,type,
    sK455: ( vATMap * vExp ) > vATMap ).

tff(func_def_474,type,
    sK456: ( vATMap * vExp ) > vUnOpT ).

tff(func_def_475,type,
    sK457: ( vATMap * vExp ) > vExp ).

tff(func_def_476,type,
    sK458: ( vATMap * vExp ) > vOptAType ).

tff(func_def_477,type,
    sK459: ( vATMap * vExp ) > vATMap ).

tff(func_def_478,type,
    sK460: ( vATMap * vExp ) > vATMap ).

tff(func_def_479,type,
    sK461: ( vATMap * vExp ) > vOptAType ).

tff(func_def_480,type,
    sK462: ( vATMap * vExp ) > vExp ).

tff(func_def_481,type,
    sK463: ( vATMap * vExp ) > vOptAType ).

tff(func_def_482,type,
    sK464: ( vATMap * vExp ) > vExp ).

tff(func_def_483,type,
    sK465: ( vATMap * vExp ) > vBinOpT ).

tff(func_def_484,type,
    sK466: ( vATMap * vExp ) > vATMap ).

tff(func_def_485,type,
    sK467: ( vATMap * vExp ) > vOptAType ).

tff(func_def_486,type,
    sK468: ( vATMap * vExp ) > vExp ).

tff(func_def_487,type,
    sK469: ( vATMap * vExp ) > vOptAType ).

tff(func_def_488,type,
    sK470: ( vATMap * vExp ) > vExp ).

tff(func_def_489,type,
    sK471: ( vATMap * vExp ) > vBinOpT ).

tff(func_def_490,type,
    sK472: ( vATMap * vExp ) > vATMap ).

tff(func_def_491,type,
    sK473: ( vATMap * vExp ) > vYN ).

tff(func_def_492,type,
    sK474: ( vATMap * vQID ) > vAType ).

tff(func_def_493,type,
    sK475: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_494,type,
    sK476: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_495,type,
    sK477: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_496,type,
    sK478: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_497,type,
    sK479: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_498,type,
    sK480: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_499,type,
    sK481: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_500,type,
    sK482: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_501,type,
    sK483: ( vUnOpT * vAval ) > vExp ).

tff(func_def_502,type,
    sK484: vAnsMap ).

tff(func_def_503,type,
    sK485: vUnOpT ).

tff(func_def_504,type,
    sK486: vAType ).

tff(func_def_505,type,
    sK487: vExp ).

tff(func_def_506,type,
    sF488: vOptAType ).

tff(func_def_507,type,
    sF489: vATMap ).

tff(func_def_508,type,
    sF490: vOptAType ).

tff(func_def_509,type,
    sF491: vExp ).

tff(func_def_510,type,
    sF492: vOptAType ).

tff(func_def_511,type,
    sF493: vOptExp ).

tff(func_def_512,type,
    sF494: vOptExp ).

tff(pred_def_1,type,
    vexpIsValue: vExp > $o ).

tff(pred_def_2,type,
    visValue: vQuestionnaire > $o ).

tff(pred_def_3,type,
    visSomeAType: vOptAType > $o ).

tff(pred_def_4,type,
    visSomeQC: vOptQConf > $o ).

tff(pred_def_5,type,
    visSomeAval: vOptAval > $o ).

tff(pred_def_6,type,
    visSomeExp: vOptExp > $o ).

tff(pred_def_7,type,
    visSomeMapConf: vOptMapConf > $o ).

tff(pred_def_8,type,
    visSomeQuestion: vOptQuestion > $o ).

tff(pred_def_9,type,
    vptcheck: ( vMapConf * vQuestionnaire * vMapConf ) > $o ).

tff(pred_def_10,type,
    sP0: ( vYN * vYN ) > $o ).

tff(pred_def_11,type,
    sP1: ( vYN * vYN ) > $o ).

tff(pred_def_12,type,
    sP2: ( vnat * vnat ) > $o ).

tff(pred_def_13,type,
    sP3: ( vnat * vnat ) > $o ).

tff(pred_def_14,type,
    sP4: ( vnat * vnat ) > $o ).

tff(pred_def_15,type,
    sP5: ( vnat * vnat ) > $o ).

tff(pred_def_16,type,
    sP6: ( vnat * vnat ) > $o ).

tff(pred_def_17,type,
    sP7: ( vnat * vnat ) > $o ).

tff(pred_def_18,type,
    sP8: ( vnat * vnat ) > $o ).

tff(pred_def_19,type,
    sP9: ( vnat * vnat ) > $o ).

tff(pred_def_20,type,
    sP10: ( vATList * vATList ) > $o ).

tff(pred_def_21,type,
    sP11: ( vQID * vAnsMap ) > $o ).

tff(pred_def_22,type,
    sP12: ( vQID * vAnsMap ) > $o ).

tff(pred_def_23,type,
    sP13: ( vAnsMap * vAnsMap ) > $o ).

tff(pred_def_24,type,
    sP14: ( vQID * vQMap ) > $o ).

tff(pred_def_25,type,
    sP15: ( vQID * vQMap ) > $o ).

tff(pred_def_26,type,
    sP16: ( vLabel * vAType ) > $o ).

tff(pred_def_27,type,
    sP17: ( vLabel * vAType ) > $o ).

tff(pred_def_28,type,
    sP18: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_29,type,
    sP19: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_30,type,
    sP20: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_31,type,
    sP21: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_32,type,
    sP22: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_33,type,
    sP23: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_34,type,
    sP24: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_35,type,
    sP25: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_36,type,
    sP26: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_37,type,
    sP27: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_38,type,
    sP28: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_39,type,
    sP29: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_40,type,
    sP30: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_41,type,
    sP31: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_42,type,
    sP32: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_43,type,
    sP33: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_44,type,
    sP34: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_45,type,
    sP35: ( vUnOpT * vAval ) > $o ).

tff(pred_def_46,type,
    sP36: ( vExp * vAnsMap ) > $o ).

tff(pred_def_47,type,
    sP37: ( vExp * vAnsMap ) > $o ).

tff(pred_def_48,type,
    sP38: ( vExp * vAnsMap ) > $o ).

tff(pred_def_49,type,
    sP39: ( vExp * vAnsMap ) > $o ).

tff(pred_def_50,type,
    sP40: ( vExp * vAnsMap ) > $o ).

tff(pred_def_51,type,
    sP41: ( vExp * vAnsMap ) > $o ).

tff(pred_def_52,type,
    sP42: ( vExp * vAnsMap ) > $o ).

tff(pred_def_53,type,
    sP43: ( vExp * vAnsMap ) > $o ).

tff(pred_def_54,type,
    sP44: ( vExp * vAnsMap ) > $o ).

tff(pred_def_55,type,
    sP45: ( vExp * vAnsMap ) > $o ).

tff(pred_def_56,type,
    sP46: ( vExp * vQuestionnaire * vQuestionnaire ) > $o ).

tff(pred_def_57,type,
    sP47: ( vExp * vQuestionnaire * vQuestionnaire ) > $o ).

tff(pred_def_58,type,
    sP48: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_59,type,
    sP49: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_60,type,
    sP50: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_61,type,
    sP51: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_62,type,
    sP52: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_63,type,
    sP53: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_64,type,
    sP54: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_65,type,
    sP55: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_66,type,
    sP56: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_67,type,
    sP57: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_68,type,
    sP58: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_69,type,
    sP59: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_70,type,
    sP60: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_71,type,
    sP61: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_72,type,
    sP62: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_73,type,
    sP63: ( vQID * vATMap ) > $o ).

tff(pred_def_74,type,
    sP64: ( vQID * vATMap ) > $o ).

tff(pred_def_75,type,
    sP65: ( vATMap * vATMap ) > $o ).

tff(pred_def_76,type,
    sP66: ( vATMap * vATMap ) > $o ).

tff(pred_def_77,type,
    sP67: ( vATMap * vATMap ) > $o ).

tff(pred_def_78,type,
    sP68: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_79,type,
    sP69: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_80,type,
    sP70: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_81,type,
    sP71: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_82,type,
    sP72: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_83,type,
    sP73: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_84,type,
    sP74: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_85,type,
    sP75: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_86,type,
    sP76: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_87,type,
    sP77: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_88,type,
    sP78: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_89,type,
    sP79: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_90,type,
    sP80: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_91,type,
    sP81: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_92,type,
    sP82: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_93,type,
    sP83: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_94,type,
    sP84: ( vUnOpT * vAType ) > $o ).

tff(pred_def_95,type,
    sP85: ( vATMap * vExp ) > $o ).

tff(pred_def_96,type,
    sP86: ( vATMap * vExp ) > $o ).

tff(pred_def_97,type,
    sP87: ( vATMap * vExp ) > $o ).

tff(pred_def_98,type,
    sP88: ( vATMap * vExp ) > $o ).

tff(pred_def_99,type,
    sP89: ( vATMap * vExp ) > $o ).

tff(pred_def_100,type,
    sP90: ( vATMap * vExp ) > $o ).

tff(pred_def_101,type,
    sP91: ( vATMap * vExp ) > $o ).

tff(f60,axiom,
    ! [X0: vAType,X1: vAType] :
      ( ( vsomeAType(X0) = vsomeAType(X1) )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-someAType') ).

tff(f61,axiom,
    ! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noAType-someAType') ).

tff(f69,axiom,
    ! [X0: vUnOpT] : ( X0 = vnotop ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-UnOpT') ).

tff(f71,axiom,
    ! [X0: vExp,X1: vExp] :
      ( ( vsomeExp(X0) = vsomeExp(X1) )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-someExp') ).

tff(f72,axiom,
    ! [X0: vExp] : ( vnoExp != vsomeExp(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).

tff(f138,axiom,
    ! [X0: vAType] : ( vgetAType(vsomeAType(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getAType-0') ).

tff(f144,axiom,
    ! [X0: vAval] : ( vgetExpValue(vconstant(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getExpValue-0') ).

tff(f152,axiom,
    vnot(vyes) = vno,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not-0') ).

tff(f153,axiom,
    vnot(vno) = vyes,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not-1') ).

tff(f154,axiom,
    ! [X0: vYN] :
      ( ( ( X0 = vyes )
        & ( vnot(X0) = vno ) )
      | ( ( X0 = vno )
        & ( vnot(X0) = vyes ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not-INV') ).

tff(f183,axiom,
    ! [X0: vAType] : visSomeAType(vsomeAType(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeAType-1') ).

tff(f184,axiom,
    ! [X0: vOptAType] :
      ( visSomeAType(X0)
     => ? [X1: vAType] : ( X0 = vsomeAType(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeAType-true-INV') ).

tff(f185,axiom,
    ! [X0: vOptAType] :
      ( ~ visSomeAType(X0)
     => ( X0 = vnoAType ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeAType-false-INV') ).

tff(f229,axiom,
    ! [X0: vExp] :
      ( ! [X1: vAval] : ( X0 != vconstant(X1) )
     => ~ vexpIsValue(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','expIsValue-1') ).

tff(f244,axiom,
    ! [X0: vAval] : ( vevalBinOp(veqop,X0,X0) = vsomeExp(vconstant(vB(vyes))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','evalBinOp-8') ).

tff(f248,axiom,
    ! [X0: vYN] : ( vevalUnOp(vnotop,vB(X0)) = vsomeExp(vconstant(vB(vnot(X0)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','evalUnOp-0') ).

tff(f249,axiom,
    ! [X0: vUnOpT,X1: vAval] :
      ( ( ( X0 != vnotop )
        | ! [X2: vYN] : ( X1 != vB(X2) ) )
     => ( vevalUnOp(X0,X1) = vnoExp ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','evalUnOp-1') ).

tff(f259,axiom,
    ! [X0: vExp,X1: vUnOpT,X2: vAnsMap] :
      ( vexpIsValue(X0)
     => ( vreduceExp(vunop(X1,X0),X2) = vevalUnOp(X1,vgetExpValue(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduceExp-8') ).

tff(f312,axiom,
    vcheckUnOp(vnotop,vYesNo) = vsomeAType(vYesNo),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','checkUnOp-0') ).

tff(f315,axiom,
    ! [X0: vATMap,X1: vYN] : ( vecheck(X0,vconstant(vB(X1))) = vsomeAType(vYesNo) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','echeck-0') ).

tff(f321,axiom,
    ! [X0: vATMap,X1: vExp,X2: vUnOpT] :
      ( visSomeAType(vecheck(X0,X1))
     => ( vecheck(X0,vunop(X2,X1)) = vcheckUnOp(X2,vgetAType(vecheck(X0,X1))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','echeck-6') ).

tff(f363,conjecture,
    ! [X0: vAnsMap,X1: vUnOpT,X2: vAType,X3: vExp] :
      ( ( vexpIsValue(ve1)
        & ( vecheck(vtypeAM(X0),vunop(X1,ve1)) = vsomeAType(X2) )
        & ( vreduceExp(vunop(X1,ve1),X0) = vsomeExp(X3) ) )
     => ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduceExpPreservation-unop-expIsValue-True') ).

tff(f364,negated_conjecture,
    ~ ! [X0: vAnsMap,X1: vUnOpT,X2: vAType,X3: vExp] :
        ( ( vexpIsValue(ve1)
          & ( vecheck(vtypeAM(X0),vunop(X1,ve1)) = vsomeAType(X2) )
          & ( vreduceExp(vunop(X1,ve1),X0) = vsomeExp(X3) ) )
       => ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) ) ),
    inference(negated_conjecture,[status(cth)],[f363]) ).

tff(f387,plain,
    ! [X0: vAType,X1: vAType] :
      ( ( X0 = X1 )
      | ( vsomeAType(X1) != vsomeAType(X0) ) ),
    inference(ennf_transformation,[],[f60]) ).

tff(f391,plain,
    ! [X0: vExp,X1: vExp] :
      ( ( X0 = X1 )
      | ( vsomeExp(X1) != vsomeExp(X0) ) ),
    inference(ennf_transformation,[],[f71]) ).

tff(f408,plain,
    ! [X0: vOptAType] :
      ( ? [X1: vAType] : ( X0 = vsomeAType(X1) )
      | ~ visSomeAType(X0) ),
    inference(ennf_transformation,[],[f184]) ).

tff(f409,plain,
    ! [X0: vOptAType] :
      ( ( X0 = vnoAType )
      | visSomeAType(X0) ),
    inference(ennf_transformation,[],[f185]) ).

tff(f421,plain,
    ! [X0: vExp] :
      ( ~ vexpIsValue(X0)
      | ? [X1: vAval] : ( vconstant(X1) = X0 ) ),
    inference(ennf_transformation,[],[f229]) ).

tff(f427,plain,
    ! [X0: vUnOpT,X1: vAval] :
      ( ( vevalUnOp(X0,X1) = vnoExp )
      | ( ( vnotop = X0 )
        & ? [X2: vYN] : ( vB(X2) = X1 ) ) ),
    inference(ennf_transformation,[],[f249]) ).

tff(f440,plain,
    ! [X0: vExp,X1: vUnOpT,X2: vAnsMap] :
      ( ( vreduceExp(vunop(X1,X0),X2) = vevalUnOp(X1,vgetExpValue(X0)) )
      | ~ vexpIsValue(X0) ),
    inference(ennf_transformation,[],[f259]) ).

tff(f473,plain,
    ! [X0: vATMap,X1: vExp,X2: vUnOpT] :
      ( ( vecheck(X0,vunop(X2,X1)) = vcheckUnOp(X2,vgetAType(vecheck(X0,X1))) )
      | ~ visSomeAType(vecheck(X0,X1)) ),
    inference(ennf_transformation,[],[f321]) ).

tff(f528,plain,
    ? [X0: vAnsMap,X1: vUnOpT,X2: vAType,X3: vExp] :
      ( ( vsomeAType(X2) != vecheck(vtypeAM(X0),X3) )
      & vexpIsValue(ve1)
      & ( vecheck(vtypeAM(X0),vunop(X1,ve1)) = vsomeAType(X2) )
      & ( vreduceExp(vunop(X1,ve1),X0) = vsomeExp(X3) ) ),
    inference(ennf_transformation,[],[f364]) ).

tff(f529,plain,
    ? [X0: vAnsMap,X1: vUnOpT,X2: vAType,X3: vExp] :
      ( ( vsomeAType(X2) != vecheck(vtypeAM(X0),X3) )
      & vexpIsValue(ve1)
      & ( vecheck(vtypeAM(X0),vunop(X1,ve1)) = vsomeAType(X2) )
      & ( vreduceExp(vunop(X1,ve1),X0) = vsomeExp(X3) ) ),
    inference(flattening,[],[f528]) ).

tff(f703,plain,
    ! [X0: vOptAType] :
      ( ( vsomeAType(sK175(X0)) = X0 )
      | ~ visSomeAType(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK175]),skolemize(X1,sK175(X0))],[f408]) ).

tff(f735,plain,
    ! [X0: vExp] :
      ( ~ vexpIsValue(X0)
      | ( vconstant(sK227(X0)) = X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK227]),skolemize(X1,sK227(X0))],[f421]) ).

tff(f798,plain,
    ! [X0: vUnOpT,X1: vAval] :
      ( ( vevalUnOp(X0,X1) = vnoExp )
      | ( ( vnotop = X0 )
        & ( vB(sK272(X1)) = X1 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK272]),skolemize(X2,sK272(X1))],[f427]) ).

tff(f960,plain,
    ( ( vsomeAType(sK486) != vecheck(vtypeAM(sK484),sK487) )
    & vexpIsValue(ve1)
    & ( vsomeAType(sK486) = vecheck(vtypeAM(sK484),vunop(sK485,ve1)) )
    & ( vreduceExp(vunop(sK485,ve1),sK484) = vsomeExp(sK487) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK484,sK485,sK486,sK487]),skolemize(X0,sK484),skolemize(X1,sK485),skolemize(X2,sK486),skolemize(X3,sK487)],[f529]) ).

tff(f1037,plain,
    ! [X0: vAType,X1: vAType] :
      ( ( vsomeAType(X1) != vsomeAType(X0) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f387]) ).

tff(f1038,plain,
    ! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f1046,plain,
    ! [X0: vUnOpT] : ( vnotop = X0 ),
    inference(cnf_transformation,[],[f69]) ).

tff(f1048,plain,
    ! [X0: vExp,X1: vExp] :
      ( ( vsomeExp(X1) != vsomeExp(X0) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f391]) ).

tff(f1049,plain,
    ! [X0: vExp] : ( vnoExp != vsomeExp(X0) ),
    inference(cnf_transformation,[],[f72]) ).

tff(f1125,plain,
    ! [X0: vAType] : ( vgetAType(vsomeAType(X0)) = X0 ),
    inference(cnf_transformation,[],[f138]) ).

tff(f1131,plain,
    ! [X0: vAval] : ( vgetExpValue(vconstant(X0)) = X0 ),
    inference(cnf_transformation,[],[f144]) ).

tff(f1153,plain,
    vno = vnot(vyes),
    inference(cnf_transformation,[],[f152]) ).

tff(f1154,plain,
    vyes = vnot(vno),
    inference(cnf_transformation,[],[f153]) ).

tff(f1158,plain,
    ! [X0: vYN] :
      ( ( vno = X0 )
      | ( vyes = X0 ) ),
    inference(cnf_transformation,[],[f154]) ).

tff(f1228,plain,
    ! [X0: vAType] : visSomeAType(vsomeAType(X0)),
    inference(cnf_transformation,[],[f183]) ).

tff(f1229,plain,
    ! [X0: vOptAType] :
      ( ~ visSomeAType(X0)
      | ( vsomeAType(sK175(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f703]) ).

tff(f1230,plain,
    ! [X0: vOptAType] :
      ( visSomeAType(X0)
      | ( vnoAType = X0 ) ),
    inference(cnf_transformation,[],[f409]) ).

tff(f1317,plain,
    ! [X0: vExp] :
      ( ~ vexpIsValue(X0)
      | ( vconstant(sK227(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f735]) ).

tff(f1341,plain,
    ! [X0: vAval] : ( vevalBinOp(veqop,X0,X0) = vsomeExp(vconstant(vB(vyes))) ),
    inference(cnf_transformation,[],[f244]) ).

tff(f1422,plain,
    ! [X0: vYN] : ( vevalUnOp(vnotop,vB(X0)) = vsomeExp(vconstant(vB(vnot(X0)))) ),
    inference(cnf_transformation,[],[f248]) ).

tff(f1423,plain,
    ! [X0: vUnOpT,X1: vAval] :
      ( ( vnoExp = vevalUnOp(X0,X1) )
      | ( vB(sK272(X1)) = X1 ) ),
    inference(cnf_transformation,[],[f798]) ).

tff(f1440,plain,
    ! [X2: vAnsMap,X0: vExp,X1: vUnOpT] :
      ( ~ vexpIsValue(X0)
      | ( vreduceExp(vunop(X1,X0),X2) = vevalUnOp(X1,vgetExpValue(X0)) ) ),
    inference(cnf_transformation,[],[f440]) ).

tff(f1761,plain,
    vsomeAType(vYesNo) = vcheckUnOp(vnotop,vYesNo),
    inference(cnf_transformation,[],[f312]) ).

tff(f1771,plain,
    ! [X0: vATMap,X1: vYN] : ( vsomeAType(vYesNo) = vecheck(X0,vconstant(vB(X1))) ),
    inference(cnf_transformation,[],[f315]) ).

tff(f1778,plain,
    ! [X2: vUnOpT,X0: vATMap,X1: vExp] :
      ( ~ visSomeAType(vecheck(X0,X1))
      | ( vecheck(X0,vunop(X2,X1)) = vcheckUnOp(X2,vgetAType(vecheck(X0,X1))) ) ),
    inference(cnf_transformation,[],[f473]) ).

tff(f1854,plain,
    vreduceExp(vunop(sK485,ve1),sK484) = vsomeExp(sK487),
    inference(cnf_transformation,[],[f960]) ).

tff(f1855,plain,
    vsomeAType(sK486) = vecheck(vtypeAM(sK484),vunop(sK485,ve1)),
    inference(cnf_transformation,[],[f960]) ).

tff(f1856,plain,
    vexpIsValue(ve1),
    inference(cnf_transformation,[],[f960]) ).

tff(f1857,plain,
    vsomeAType(sK486) != vecheck(vtypeAM(sK484),sK487),
    inference(cnf_transformation,[],[f960]) ).

tff(f1898,definition,
    sF488 = vsomeAType(sK486),
    introduced(definition,[new_symbols(definition,[sF488])],[function_definition]) ).

tff(f1899,plain,
    vsomeAType(sK486) = sF488,
    inference(reorient_equations,[],[f1898]) ).

tff(f1900,definition,
    sF489 = vtypeAM(sK484),
    introduced(definition,[new_symbols(definition,[sF489])],[function_definition]) ).

tff(f1901,plain,
    vtypeAM(sK484) = sF489,
    inference(reorient_equations,[],[f1900]) ).

tff(f1902,definition,
    sF490 = vecheck(sF489,sK487),
    introduced(definition,[new_symbols(definition,[sF490])],[function_definition]) ).

tff(f1903,plain,
    vecheck(sF489,sK487) = sF490,
    inference(reorient_equations,[],[f1902]) ).

tff(f1904,plain,
    sF488 != sF490,
    inference(definition_folding,[],[f1857,f1903,f1901,f1899]) ).

tff(f1905,definition,
    sF491 = vunop(sK485,ve1),
    introduced(definition,[new_symbols(definition,[sF491])],[function_definition]) ).

tff(f1906,plain,
    vunop(sK485,ve1) = sF491,
    inference(reorient_equations,[],[f1905]) ).

tff(f1907,definition,
    sF492 = vecheck(sF489,sF491),
    introduced(definition,[new_symbols(definition,[sF492])],[function_definition]) ).

tff(f1908,plain,
    vecheck(sF489,sF491) = sF492,
    inference(reorient_equations,[],[f1907]) ).

tff(f1909,plain,
    sF488 = sF492,
    inference(definition_folding,[],[f1855,f1908,f1906,f1901,f1899]) ).

tff(f1910,definition,
    sF493 = vreduceExp(sF491,sK484),
    introduced(definition,[new_symbols(definition,[sF493])],[function_definition]) ).

tff(f1911,plain,
    vreduceExp(sF491,sK484) = sF493,
    inference(reorient_equations,[],[f1910]) ).

tff(f1912,definition,
    sF494 = vsomeExp(sK487),
    introduced(definition,[new_symbols(definition,[sF494])],[function_definition]) ).

tff(f1913,plain,
    vsomeExp(sK487) = sF494,
    inference(reorient_equations,[],[f1912]) ).

tff(f1914,plain,
    sF493 = sF494,
    inference(definition_folding,[],[f1854,f1913,f1911,f1906]) ).

tff(f1928,plain,
    sF491 = vunop(vnotop,ve1),
    inference(forward_demodulation,[],[f1906,f1046]) ).

tff(f1929,plain,
    sF488 = vecheck(sF489,sF491),
    inference(forward_demodulation,[],[f1908,f1909]) ).

tff(f1930,plain,
    vsomeExp(sK487) = sF493,
    inference(forward_demodulation,[],[f1913,f1914]) ).

tff(f1931,plain,
    ! [X0: vUnOpT,X1: vUnOpT] : ( X0 = X1 ),
    inference(superposition,[],[f1046,f1046]) ).

tff(f1935,plain,
    vnoExp != sF493,
    inference(superposition,[],[f1049,f1930]) ).

tff(f1949,plain,
    ! [X0: vUnOpT] : ( sF491 = vunop(X0,ve1) ),
    inference(superposition,[],[f1928,f1931]) ).

tff(f1964,plain,
    vYesNo = vgetAType(vcheckUnOp(vnotop,vYesNo)),
    inference(superposition,[],[f1125,f1761]) ).

tff(f1965,plain,
    vnoAType != vcheckUnOp(vnotop,vYesNo),
    inference(superposition,[],[f1038,f1761]) ).

tff(f1966,plain,
    visSomeAType(vcheckUnOp(vnotop,vYesNo)),
    inference(superposition,[],[f1228,f1761]) ).

tff(f1972,plain,
    ! [X0: vUnOpT] : ( vnoAType != vcheckUnOp(X0,vYesNo) ),
    inference(superposition,[],[f1965,f1931]) ).

tff(f1981,plain,
    ! [X0: vOptAType] :
      ( ( vsomeAType(sK175(X0)) = X0 )
      | ( vnoAType = X0 ) ),
    inference(resolution,[],[f1229,f1230]) ).

tff(f1982,plain,
    ! [X0: vAType] : ( vsomeAType(X0) = vsomeAType(sK175(vsomeAType(X0))) ),
    inference(resolution,[],[f1229,f1228]) ).

tff(f2000,plain,
    ve1 = vconstant(sK227(ve1)),
    inference(resolution,[],[f1317,f1856]) ).

tff(f2009,plain,
    sK227(ve1) = vgetExpValue(ve1),
    inference(superposition,[],[f1131,f2000]) ).

tff(f2093,plain,
    ! [X0: vAType] : ( vgetAType(vsomeAType(X0)) = sK175(vsomeAType(X0)) ),
    inference(superposition,[],[f1125,f1982]) ).

tff(f2096,plain,
    ! [X0: vAType] : ( sK175(vsomeAType(X0)) = X0 ),
    inference(forward_demodulation,[],[f2093,f1125]) ).

tff(f2102,plain,
    vYesNo = sK175(vcheckUnOp(vnotop,vYesNo)),
    inference(superposition,[],[f2096,f1761]) ).

tff(f2114,plain,
    ! [X0: vUnOpT] : ( vYesNo = sK175(vcheckUnOp(X0,vYesNo)) ),
    inference(superposition,[],[f2102,f1931]) ).

tff(f2176,plain,
    ! [X0: vAType] :
      ( ( vsomeAType(X0) != sF488 )
      | ( sK486 = X0 ) ),
    inference(superposition,[],[f1037,f1899]) ).

tff(f2231,plain,
    ! [X0: vExp] :
      ( ( vsomeExp(X0) != sF493 )
      | ( sK487 = X0 ) ),
    inference(superposition,[],[f1048,f1930]) ).

tff(f2283,definition,
    ( spl495_1
  <=> ( vYesNo = sK486 ) ),
    introduced(definition,[new_symbols(definition,[spl495_1])],[avatar_definition]) ).

tff(f2285,plain,
    ( ( vYesNo = sK486 )
    | ~ spl495_1 ),
    inference(avatar_component_clause,[],[f2283]) ).

tff(f2287,definition,
    ( spl495_2
  <=> ( vcheckUnOp(vnotop,vYesNo) = sF488 ) ),
    introduced(definition,[new_symbols(definition,[spl495_2])],[avatar_definition]) ).

tff(f2288,plain,
    ( ( vcheckUnOp(vnotop,vYesNo) = sF488 )
    | ~ spl495_2 ),
    inference(avatar_component_clause,[],[f2287]) ).

tff(f2289,plain,
    ( ( vcheckUnOp(vnotop,vYesNo) != sF488 )
    | spl495_2 ),
    inference(avatar_component_clause,[],[f2287]) ).

tff(f2389,plain,
    ! [X0: vUnOpT] :
      ( ( vsomeAType(vYesNo) = vcheckUnOp(X0,vYesNo) )
      | ( vnoAType = vcheckUnOp(X0,vYesNo) ) ),
    inference(superposition,[],[f1981,f2114]) ).

tff(f2398,plain,
    ! [X0: vUnOpT] : ( vsomeAType(vYesNo) = vcheckUnOp(X0,vYesNo) ),
    inference(forward_subsumption_resolution,[],[f2389,f1972]) ).

tff(f2410,plain,
    ! [X0: vUnOpT] :
      ( ( sF488 != vcheckUnOp(X0,vYesNo) )
      | ( vYesNo = sK486 ) ),
    inference(superposition,[],[f2176,f2398]) ).

tff(f2417,definition,
    ( spl495_5
  <=> ! [X0: vUnOpT] : ( sF488 != vcheckUnOp(X0,vYesNo) ) ),
    introduced(definition,[new_symbols(definition,[spl495_5])],[avatar_definition]) ).

tff(f2418,plain,
    ( ! [X0: vUnOpT] : ( sF488 != vcheckUnOp(X0,vYesNo) )
    | ~ spl495_5 ),
    inference(avatar_component_clause,[],[f2417]) ).

tff(f2419,plain,
    ( spl495_1
    | spl495_5 ),
    inference(avatar_split_clause,[],[f2410,f2417,f2283]) ).

tff(f2468,plain,
    ( ( vsomeAType(vYesNo) = sF488 )
    | ~ spl495_1 ),
    inference(superposition,[],[f1899,f2285]) ).

tff(f2469,plain,
    ( ( vcheckUnOp(vnotop,vYesNo) = sF488 )
    | ~ spl495_1 ),
    inference(forward_demodulation,[],[f2468,f1761]) ).

tff(f2470,plain,
    ( $false
    | ~ spl495_1
    | spl495_2 ),
    inference(forward_subsumption_resolution,[],[f2469,f2289]) ).

tff(f2471,plain,
    ( ~ spl495_1
    | spl495_2 ),
    inference(avatar_contradiction_clause,[],[f2470]) ).

tff(f2709,plain,
    ! [X0: vAval] :
      ( ( vevalBinOp(veqop,X0,X0) != sF493 )
      | ( vconstant(vB(vyes)) = sK487 ) ),
    inference(superposition,[],[f2231,f1341]) ).

tff(f2711,definition,
    ( spl495_7
  <=> ( vconstant(vB(vyes)) = sK487 ) ),
    introduced(definition,[new_symbols(definition,[spl495_7])],[avatar_definition]) ).

tff(f2713,plain,
    ( ( vconstant(vB(vyes)) = sK487 )
    | ~ spl495_7 ),
    inference(avatar_component_clause,[],[f2711]) ).

tff(f2715,definition,
    ( spl495_8
  <=> ! [X0: vAval] : ( vevalBinOp(veqop,X0,X0) != sF493 ) ),
    introduced(definition,[new_symbols(definition,[spl495_8])],[avatar_definition]) ).

tff(f2716,plain,
    ( ! [X0: vAval] : ( vevalBinOp(veqop,X0,X0) != sF493 )
    | ~ spl495_8 ),
    inference(avatar_component_clause,[],[f2715]) ).

tff(f2717,plain,
    ( spl495_7
    | spl495_8 ),
    inference(avatar_split_clause,[],[f2709,f2715,f2711]) ).

tff(f2719,plain,
    ( ( sF490 = vecheck(sF489,vconstant(vB(vyes))) )
    | ~ spl495_7 ),
    inference(superposition,[],[f1903,f2713]) ).

tff(f2721,plain,
    ( ( vsomeAType(vYesNo) = sF490 )
    | ~ spl495_7 ),
    inference(forward_demodulation,[],[f2719,f1771]) ).

tff(f2722,plain,
    ( ( vcheckUnOp(vnotop,vYesNo) = sF490 )
    | ~ spl495_7 ),
    inference(forward_demodulation,[],[f2721,f1761]) ).

tff(f3291,plain,
    ( ( vsomeExp(vconstant(vB(vyes))) != sF493 )
    | ~ spl495_8 ),
    inference(superposition,[],[f2716,f1341]) ).

tff(f3509,plain,
    vsomeExp(vconstant(vB(vyes))) = vevalUnOp(vnotop,vB(vno)),
    inference(superposition,[],[f1422,f1154]) ).

tff(f3525,plain,
    ! [X0: vYN] :
      ( ( vevalUnOp(vnotop,vB(X0)) != sF493 )
      | ( vconstant(vB(vnot(X0))) = sK487 ) ),
    inference(superposition,[],[f2231,f1422]) ).

tff(f3530,plain,
    ! [X0: vUnOpT,X1: vYN] :
      ( ( sF493 != vevalUnOp(X0,vB(X1)) )
      | ( sK487 = vconstant(vB(vnot(X1))) ) ),
    inference(superposition,[],[f3525,f1931]) ).

tff(f4781,definition,
    ( spl495_17
  <=> ( vconstant(vB(vno)) = sK487 ) ),
    introduced(definition,[new_symbols(definition,[spl495_17])],[avatar_definition]) ).

tff(f4782,plain,
    ( ( vconstant(vB(vno)) != sK487 )
    | spl495_17 ),
    inference(avatar_component_clause,[],[f4781]) ).

tff(f4783,plain,
    ( ( vconstant(vB(vno)) = sK487 )
    | ~ spl495_17 ),
    inference(avatar_component_clause,[],[f4781]) ).

tff(f4923,plain,
    ! [X0: vUnOpT,X1: vAnsMap] : ( vreduceExp(vunop(X0,ve1),X1) = vevalUnOp(X0,vgetExpValue(ve1)) ),
    inference(resolution,[],[f1440,f1856]) ).

tff(f4930,plain,
    ! [X0: vUnOpT,X1: vAnsMap] : ( vreduceExp(vunop(X0,ve1),X1) = vevalUnOp(X0,sK227(ve1)) ),
    inference(forward_demodulation,[],[f4923,f2009]) ).

tff(f4932,plain,
    ! [X0: vUnOpT,X1: vAnsMap] : ( vevalUnOp(X0,sK227(ve1)) = vreduceExp(sF491,X1) ),
    inference(forward_demodulation,[],[f4930,f1949]) ).

tff(f5114,plain,
    ( ( sF493 != vevalUnOp(vnotop,vB(vno)) )
    | ~ spl495_8 ),
    inference(forward_demodulation,[],[f3291,f3509]) ).

tff(f5119,plain,
    ( ( sF490 = vecheck(sF489,vconstant(vB(vno))) )
    | ~ spl495_17 ),
    inference(superposition,[],[f1903,f4783]) ).

tff(f5122,plain,
    ( ( vsomeAType(vYesNo) = sF490 )
    | ~ spl495_17 ),
    inference(forward_demodulation,[],[f5119,f1771]) ).

tff(f5125,plain,
    ( ( vcheckUnOp(vnotop,vYesNo) = sF490 )
    | ~ spl495_17 ),
    inference(forward_demodulation,[],[f5122,f1761]) ).

tff(f5264,plain,
    ! [X2: vAnsMap,X0: vAnsMap] : ( vreduceExp(sF491,X0) = vreduceExp(sF491,X2) ),
    inference(superposition,[],[f4932,f4932]) ).

tff(f5265,plain,
    ! [X1: vAnsMap] :
      ( ( vnoExp = vreduceExp(sF491,X1) )
      | ( sK227(ve1) = vB(sK272(sK227(ve1))) ) ),
    inference(superposition,[],[f4932,f1423]) ).

tff(f5271,plain,
    ! [X0: vUnOpT] : ( sF493 = vevalUnOp(X0,sK227(ve1)) ),
    inference(superposition,[],[f1911,f4932]) ).

tff(f5274,definition,
    ( spl495_30
  <=> ( sK227(ve1) = vB(sK272(sK227(ve1))) ) ),
    introduced(definition,[new_symbols(definition,[spl495_30])],[avatar_definition]) ).

tff(f5276,plain,
    ( ( sK227(ve1) = vB(sK272(sK227(ve1))) )
    | ~ spl495_30 ),
    inference(avatar_component_clause,[],[f5274]) ).

tff(f5278,definition,
    ( spl495_31
  <=> ! [X0: vAnsMap] : ( vnoExp = vreduceExp(sF491,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl495_31])],[avatar_definition]) ).

tff(f5279,plain,
    ( ! [X0: vAnsMap] : ( vnoExp = vreduceExp(sF491,X0) )
    | ~ spl495_31 ),
    inference(avatar_component_clause,[],[f5278]) ).

tff(f5282,plain,
    ( spl495_30
    | spl495_31 ),
    inference(avatar_split_clause,[],[f5265,f5278,f5274]) ).

tff(f5295,plain,
    ! [X0: vAnsMap] : ( sF493 = vreduceExp(sF491,X0) ),
    inference(superposition,[],[f1911,f5264]) ).

tff(f5304,plain,
    ( ( vB(vno) = sK227(ve1) )
    | ( vyes = sK272(sK227(ve1)) )
    | ~ spl495_30 ),
    inference(superposition,[],[f5276,f1158]) ).

tff(f5314,plain,
    ( ! [X0: vATMap] : ( vsomeAType(vYesNo) = vecheck(X0,vconstant(sK227(ve1))) )
    | ~ spl495_30 ),
    inference(superposition,[],[f1771,f5276]) ).

tff(f5328,plain,
    ( ! [X0: vATMap] : ( vsomeAType(vYesNo) = vecheck(X0,ve1) )
    | ~ spl495_30 ),
    inference(forward_demodulation,[],[f5314,f2000]) ).

tff(f5333,definition,
    ( spl495_33
  <=> ( vB(vyes) = sK227(ve1) ) ),
    introduced(definition,[new_symbols(definition,[spl495_33])],[avatar_definition]) ).

tff(f5335,plain,
    ( ( vB(vyes) = sK227(ve1) )
    | ~ spl495_33 ),
    inference(avatar_component_clause,[],[f5333]) ).

tff(f5338,definition,
    ( spl495_34
  <=> ( vyes = sK272(sK227(ve1)) ) ),
    introduced(definition,[new_symbols(definition,[spl495_34])],[avatar_definition]) ).

tff(f5340,plain,
    ( ( vyes = sK272(sK227(ve1)) )
    | ~ spl495_34 ),
    inference(avatar_component_clause,[],[f5338]) ).

tff(f5348,definition,
    ( spl495_36
  <=> ( vB(vno) = sK227(ve1) ) ),
    introduced(definition,[new_symbols(definition,[spl495_36])],[avatar_definition]) ).

tff(f5350,plain,
    ( ( vB(vno) = sK227(ve1) )
    | ~ spl495_36 ),
    inference(avatar_component_clause,[],[f5348]) ).

tff(f5351,plain,
    ( spl495_34
    | spl495_36
    | ~ spl495_30 ),
    inference(avatar_split_clause,[],[f5304,f5274,f5348,f5338]) ).

tff(f5354,plain,
    ( ! [X0: vATMap] : ( vcheckUnOp(vnotop,vYesNo) = vecheck(X0,ve1) )
    | ~ spl495_30 ),
    inference(forward_demodulation,[],[f5328,f1761]) ).

tff(f5365,plain,
    ( ( vnoExp = sF493 )
    | ~ spl495_31 ),
    inference(superposition,[],[f5279,f1911]) ).

tff(f5375,plain,
    ( $false
    | ~ spl495_31 ),
    inference(forward_subsumption_resolution,[],[f5365,f1935]) ).

tff(f5376,plain,
    ~ spl495_31,
    inference(avatar_contradiction_clause,[],[f5375]) ).

tff(f5422,plain,
    ( ( vB(vyes) = sK227(ve1) )
    | ~ spl495_30
    | ~ spl495_34 ),
    inference(superposition,[],[f5276,f5340]) ).

tff(f5450,plain,
    ( spl495_33
    | ~ spl495_30
    | ~ spl495_34 ),
    inference(avatar_split_clause,[],[f5422,f5338,f5274,f5333]) ).

tff(f5459,plain,
    ( ! [X0: vUnOpT,X1: vAnsMap] : ( vreduceExp(sF491,X1) = vevalUnOp(X0,vB(vyes)) )
    | ~ spl495_33 ),
    inference(superposition,[],[f4932,f5335]) ).

tff(f5876,plain,
    ( ! [X0: vAnsMap] :
        ( ( sF493 != vreduceExp(sF491,X0) )
        | ( sK487 = vconstant(vB(vnot(vyes))) ) )
    | ~ spl495_33 ),
    inference(superposition,[],[f3530,f5459]) ).

tff(f6178,plain,
    ( ( sK487 = vconstant(vB(vnot(vyes))) )
    | ~ spl495_33 ),
    inference(forward_subsumption_resolution,[],[f5876,f5295]) ).

tff(f6208,plain,
    ( ( vconstant(vB(vno)) = sK487 )
    | ~ spl495_33 ),
    inference(forward_demodulation,[],[f6178,f1153]) ).

tff(f6213,plain,
    ( $false
    | spl495_17
    | ~ spl495_33 ),
    inference(forward_subsumption_resolution,[],[f6208,f4782]) ).

tff(f6214,plain,
    ( spl495_17
    | ~ spl495_33 ),
    inference(avatar_contradiction_clause,[],[f6213]) ).

tff(f6335,plain,
    ( ! [X0: vUnOpT] : ( sF493 = vevalUnOp(X0,vB(vno)) )
    | ~ spl495_36 ),
    inference(forward_demodulation,[],[f5271,f5350]) ).

tff(f6447,plain,
    ( ( vcheckUnOp(vnotop,vYesNo) != sF488 )
    | ~ spl495_7 ),
    inference(superposition,[],[f1904,f2722]) ).

tff(f6623,plain,
    ( ! [X0: vUnOpT,X1: vUnOpT] : ( vevalUnOp(X0,vB(vno)) = vevalUnOp(X1,vB(vno)) )
    | ~ spl495_36 ),
    inference(superposition,[],[f6335,f6335]) ).

tff(f6651,plain,
    ( ! [X0: vUnOpT] : ( vevalUnOp(vnotop,vB(vno)) != vevalUnOp(X0,vB(vno)) )
    | ~ spl495_8
    | ~ spl495_36 ),
    inference(superposition,[],[f5114,f6335]) ).

tff(f7293,plain,
    ( ! [X0: vUnOpT,X1: vUnOpT] : ( vevalUnOp(X0,vB(vno)) != vevalUnOp(X1,vB(vno)) )
    | ~ spl495_8
    | ~ spl495_36 ),
    inference(superposition,[],[f6651,f1046]) ).

tff(f7339,plain,
    ( $false
    | ~ spl495_8
    | ~ spl495_36 ),
    inference(forward_subsumption_resolution,[],[f7293,f6623]) ).

tff(f7340,plain,
    ( ~ spl495_8
    | ~ spl495_36 ),
    inference(avatar_contradiction_clause,[],[f7339]) ).

tff(f7575,plain,
    ( ( vcheckUnOp(vnotop,vYesNo) != sF488 )
    | ~ spl495_17 ),
    inference(superposition,[],[f1904,f5125]) ).

tff(f10839,plain,
    ( ! [X0: vATMap,X1: vUnOpT] :
        ( ~ visSomeAType(vcheckUnOp(vnotop,vYesNo))
        | ( vecheck(X0,vunop(X1,ve1)) = vcheckUnOp(X1,vgetAType(vcheckUnOp(vnotop,vYesNo))) ) )
    | ~ spl495_30 ),
    inference(superposition,[],[f1778,f5354]) ).

tff(f10854,plain,
    ( ! [X0: vATMap,X1: vUnOpT] : ( vecheck(X0,vunop(X1,ve1)) = vcheckUnOp(X1,vgetAType(vcheckUnOp(vnotop,vYesNo))) )
    | ~ spl495_30 ),
    inference(forward_subsumption_resolution,[],[f10839,f1966]) ).

tff(f10861,plain,
    ( ! [X0: vATMap,X1: vUnOpT] : ( vcheckUnOp(X1,vYesNo) = vecheck(X0,vunop(X1,ve1)) )
    | ~ spl495_30 ),
    inference(forward_demodulation,[],[f10854,f1964]) ).

tff(f10867,plain,
    ( ! [X0: vATMap,X1: vUnOpT] : ( vcheckUnOp(X1,vYesNo) = vecheck(X0,sF491) )
    | ~ spl495_30 ),
    inference(forward_demodulation,[],[f10861,f1949]) ).

tff(f10880,plain,
    ( ! [X0: vUnOpT] : ( sF488 = vcheckUnOp(X0,vYesNo) )
    | ~ spl495_30 ),
    inference(superposition,[],[f10867,f1929]) ).

tff(f10903,plain,
    ( $false
    | ~ spl495_5
    | ~ spl495_30 ),
    inference(forward_subsumption_resolution,[],[f10880,f2418]) ).

tff(f10904,plain,
    ( ~ spl495_5
    | ~ spl495_30 ),
    inference(avatar_contradiction_clause,[],[f10903]) ).

tff(f10913,plain,
    ( $false
    | ~ spl495_2
    | ~ spl495_17 ),
    inference(forward_subsumption_resolution,[],[f7575,f2288]) ).

tff(f10914,plain,
    ( ~ spl495_2
    | ~ spl495_17 ),
    inference(avatar_contradiction_clause,[],[f10913]) ).

tff(f10929,plain,
    ( $false
    | ~ spl495_2
    | ~ spl495_7 ),
    inference(forward_subsumption_resolution,[],[f6447,f2288]) ).

tff(f10930,plain,
    ( ~ spl495_2
    | ~ spl495_7 ),
    inference(avatar_contradiction_clause,[],[f10929]) ).

cnf(s4,plain,
    ( spl495_1
    | spl495_5 ),
    inference(sat_conversion,[],[f2419]) ).

cnf(s5,plain,
    ( ~ spl495_1
    | spl495_2 ),
    inference(sat_conversion,[],[f2471]) ).

cnf(s9,plain,
    ( spl495_7
    | spl495_8 ),
    inference(sat_conversion,[],[f2717]) ).

cnf(s41,plain,
    ( spl495_30
    | spl495_31 ),
    inference(sat_conversion,[],[f5282]) ).

cnf(s46,plain,
    ( ~ spl495_30
    | spl495_34
    | spl495_36 ),
    inference(sat_conversion,[],[f5351]) ).

cnf(s48,plain,
    ~ spl495_31,
    inference(sat_conversion,[],[f5376]) ).

cnf(s49,plain,
    ( ~ spl495_30
    | spl495_33
    | ~ spl495_34 ),
    inference(sat_conversion,[],[f5450]) ).

cnf(s61,plain,
    ( spl495_17
    | ~ spl495_33 ),
    inference(sat_conversion,[],[f6214]) ).

cnf(s94,plain,
    ( ~ spl495_8
    | ~ spl495_36 ),
    inference(sat_conversion,[],[f7340]) ).

cnf(s124,plain,
    ( ~ spl495_5
    | ~ spl495_30 ),
    inference(sat_conversion,[],[f10904]) ).

cnf(s126,plain,
    ( ~ spl495_2
    | ~ spl495_17 ),
    inference(sat_conversion,[],[f10914]) ).

cnf(s132,plain,
    ( ~ spl495_2
    | ~ spl495_7 ),
    inference(sat_conversion,[],[f10930]) ).

cnf(s152,plain,
    spl495_30,
    inference(rat,[],[s41,s48]) ).

cnf(s153,plain,
    ~ spl495_5,
    inference(rat,[],[s124,s152]) ).

cnf(s154,plain,
    spl495_1,
    inference(rat,[],[s4,s153]) ).

cnf(s156,plain,
    spl495_2,
    inference(rat,[],[s5,s154]) ).

cnf(s157,plain,
    ~ spl495_7,
    inference(rat,[],[s132,s156]) ).

cnf(s159,plain,
    ~ spl495_17,
    inference(rat,[],[s126,s156]) ).

cnf(s160,plain,
    spl495_8,
    inference(rat,[],[s9,s157]) ).

cnf(s161,plain,
    ~ spl495_33,
    inference(rat,[],[s61,s159]) ).

cnf(s164,plain,
    ~ spl495_36,
    inference(rat,[],[s94,s160]) ).

cnf(s166,plain,
    ~ spl495_34,
    inference(rat,[],[s49,s152,s161]) ).

cnf(s169,plain,
    $false,
    inference(rat,[],[s46,s152,s164,s166]) ).

tff(f11042,plain,
    $false,
    inference(avatar_sat_refutation,[],[s169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM273_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n010.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 22:04:03 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.66/1.11  % (2412830)Will run a generic schedule for satisfiability detection.
% 5.66/1.11  % (2412842)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2909453309:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.66/1.11  % (2412837)% WARNING: option uhcvi not known.
% 5.66/1.11  % (2412840)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1979837289:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.66/1.11  % (2412838)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4163929931:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.66/1.11  % (2412839)dis+10_1_sil=32000:sp=arity:random_seed=2827004215:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.66/1.11  % (2412836)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2649269960_2999 on theBenchmark for (2999ds/0Mi)
% 5.66/1.11  % (2412837)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3441183187:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.66/1.11  % (2412841)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1279294948:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.66/1.11  % (2412840)Instruction limit reached! 
% 5.66/1.11  % (2412840)------------------------------
% 5.66/1.11  % (2412840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412840)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412840)Termination reason: Instruction limit
% 5.66/1.11  % (2412840)Termination phase: Blocked clause elimination
% 5.66/1.11  % (2412840)Time elapsed: 0.079 s
% 5.66/1.11  % (2412840)Peak memory usage: 12 MB
% 5.66/1.11  % (2412840)Instructions burned: 117 (million)
% 5.66/1.11  % (2412842)Instruction limit reached! 
% 5.66/1.11  % (2412842)------------------------------
% 5.66/1.11  % (2412842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412842)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412842)Termination reason: Instruction limit
% 5.66/1.11  % (2412842)Termination phase: Saturation
% 5.66/1.11  % (2412842)Time elapsed: 0.091 s
% 5.66/1.11  % (2412842)Peak memory usage: 14 MB
% 5.66/1.11  % (2412842)Instructions burned: 160 (million)
% 5.66/1.11  % (2412839)Instruction limit reached! 
% 5.66/1.11  % (2412839)------------------------------
% 5.66/1.11  % (2412839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412839)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412839)Termination reason: Instruction limit
% 5.66/1.11  % (2412839)Termination phase: Saturation
% 5.66/1.11  % (2412839)Time elapsed: 0.085 s
% 5.66/1.11  % (2412839)Peak memory usage: 13 MB
% 5.66/1.11  % (2412839)Instructions burned: 104 (million)
% 5.66/1.11  % (2412851)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3107387477:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.66/1.11  % (2412852)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1244513760:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.66/1.11  % (2412853)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=670455073:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.66/1.11  % (2412841)Instruction limit reached! 
% 5.66/1.11  % (2412841)------------------------------
% 5.66/1.11  % (2412841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412841)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412841)Termination reason: Instruction limit
% 5.66/1.11  % (2412841)Termination phase: Saturation
% 5.66/1.11  % (2412841)Time elapsed: 0.132 s
% 5.66/1.11  % (2412841)Peak memory usage: 13 MB
% 5.66/1.11  % (2412841)Instructions burned: 131 (million)
% 5.66/1.11  % Detected minimum model sizes of [3]
% 5.66/1.11  % Detected maximum model sizes of [max]
% 5.66/1.11  % TRYING [3]
% 5.66/1.11  % (2412863)ott-21_1_sil=16000:fs=off:random_seed=4264314358:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 5.66/1.11  % (2412852)Instruction limit reached! 
% 5.66/1.11  % (2412852)------------------------------
% 5.66/1.11  % (2412852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412852)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412852)Termination reason: Instruction limit
% 5.66/1.11  % (2412852)Termination phase: Saturation
% 5.66/1.11  % (2412852)Time elapsed: 0.104 s
% 5.66/1.11  % (2412852)Peak memory usage: 14 MB
% 5.66/1.11  % (2412852)Instructions burned: 131 (million)
% 5.66/1.11  % (2412865)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1076280682:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.66/1.11  % Detected minimum model sizes of [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.66/1.11  % Detected maximum model sizes of [max,max,max,max,max,max,3,max,max,max,9,max,1,max,max,2,max,max,max,max,max,max,max,max,max,max]
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.66/1.11  % (2412863)Instruction limit reached! 
% 5.66/1.11  % (2412863)------------------------------
% 5.66/1.11  % (2412863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412863)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412863)Termination reason: Instruction limit
% 5.66/1.11  % (2412863)Termination phase: Saturation
% 5.66/1.11  % (2412863)Time elapsed: 0.161 s
% 5.66/1.11  % (2412863)Peak memory usage: 13 MB
% 5.66/1.11  % (2412863)Instructions burned: 181 (million)
% 5.66/1.11  % (2412851)Instruction limit reached! 
% 5.66/1.11  % (2412851)------------------------------
% 5.66/1.11  % (2412851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412851)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412851)Termination reason: Instruction limit
% 5.66/1.11  % (2412851)Termination phase: Finite model building constraint generation
% 5.66/1.11  % (2412851)Time elapsed: 0.273 s
% 5.66/1.11  % (2412851)Peak memory usage: 34 MB
% 5.66/1.11  % (2412851)Instructions burned: 716 (million)
% 5.66/1.11  % (2412870)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3120331561:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 5.66/1.11  % (2412871)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2250586079:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4]
% 5.66/1.11  % Detected minimum model sizes of [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.66/1.11  % Detected maximum model sizes of [max,max,max,max,max,max,3,max,max,max,9,max,1,max,max,2,max,max,max,max,max,max,max,max,max,max]
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5]
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4]
% 5.66/1.11  % (2412870)Instruction limit reached! 
% 5.66/1.11  % (2412870)------------------------------
% 5.66/1.11  % (2412870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412870)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412870)Termination reason: Instruction limit
% 5.66/1.11  % (2412870)Termination phase: Finite model building constraint generation
% 5.66/1.11  % (2412870)Time elapsed: 0.258 s
% 5.66/1.11  % (2412870)Peak memory usage: 20 MB
% 5.66/1.11  % (2412870)Instructions burned: 867 (million)
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6]
% 5.66/1.11  % (2412853)Instruction limit reached! 
% 5.66/1.11  % (2412853)------------------------------
% 5.66/1.11  % (2412853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412853)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412853)Termination reason: Instruction limit
% 5.66/1.11  % (2412853)Termination phase: Saturation
% 5.66/1.11  % (2412853)Time elapsed: 0.547 s
% 5.66/1.11  % (2412853)Peak memory usage: 16 MB
% 5.66/1.11  % (2412853)Instructions burned: 685 (million)
% 5.66/1.11  % (2412877)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=578940566:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 5.66/1.11  % (2412878)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3612535223:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 5.66/1.11  % (2412865)Instruction limit reached! 
% 5.66/1.11  % (2412865)------------------------------
% 5.66/1.11  % (2412865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412865)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412865)Termination reason: Instruction limit
% 5.66/1.11  % (2412865)Termination phase: Saturation
% 5.66/1.11  % (2412865)Time elapsed: 0.492 s
% 5.66/1.11  % (2412865)Peak memory usage: 15 MB
% 5.66/1.11  % (2412865)Instructions burned: 478 (million)
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7]
% 5.66/1.11  % (2412881)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4225641861:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 5.66/1.11  % TRYING [1,1,1,1,1,1,3,1,1,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8]
% 5.66/1.11  % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.66/1.11  % Detected maximum model sizes of [max,max,max,max,max,max,3,max,max,max,9,max,1,max,max,2,max,max,max,max,max,max,max,max,max,max]
% 5.66/1.11  % fmb_start_size (= 14) larger than a detected sort maximum size!
% 5.66/1.11  % (2412877)Refutation not found, incomplete strategy
% 5.66/1.11  % (2412877)------------------------------
% 5.66/1.11  % (2412877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.11  % (2412877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.11  % (2412877)CaDiCaL version: 2.1.3
% 5.66/1.11  % (2412877)Termination reason: Refutation not found, incomplete strategy
% 5.66/1.11  % (2412877)Time elapsed: 0.136 s
% 5.66/1.11  % (2412877)Peak memory usage: 16 MB
% 5.66/1.11  % (2412877)Instructions burned: 453 (million)
% 5.66/1.11  % (2412877)------------------------------
% 5.66/1.11  % (2412877)------------------------------
% 5.66/1.11  % (2412883)fmb+10_1_sil=64000:random_seed=1831696810:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 5.66/1.11  % (2412871) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2412830-2412871"...
% 5.66/1.11  % (2412871)...printing done.
% 5.66/1.11  % (2412871)Refutation found. Thanks to Tanya!
% 5.66/1.11  % SZS status Theorem for theBenchmark
% 5.66/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 5.66/1.12  % (2412871)------------------------------
% 5.66/1.12  % (2412871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.12  % (2412871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.12  % (2412871)CaDiCaL version: 2.1.3
% 5.66/1.12  % (2412871)Termination reason: Refutation
% 5.66/1.12  % (2412871)Time elapsed: 0.430 s
% 5.66/1.12  % (2412871)Peak memory usage: 18 MB
% 5.66/1.12  % (2412871)Instructions burned: 585 (million)
% 5.66/1.12  % (2412830)Success in time 0.897 s
% 5.66/1.12  % Vampire exiting
%------------------------------------------------------------------------------