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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COM276_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 09:39:58 AM UTC 2026

% Result   : Theorem 92.41s 13.89s
% Output   : Refutation 93.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   73
% Syntax   : Number of formulae    :  441 (  65 unt;   0 typ;  59 def)
%            Number of atoms       : 1569 ( 595 equ)
%            Maximal formula atoms :   60 (   3 avg)
%            Number of connectives : 1697 ( 569   ~; 663   |; 413   &)
%                                         (  45 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of types       :   27 (  26 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  144 ( 142 usr;  46 prp; 0-5 aty)
%            Number of functors    :  508 ( 508 usr;  37 con; 0-4 aty)
%            Number of variables   :  687 (   0 sgn 378   !; 309   ?; 687   :)

% 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,
    ve2: vExp ).

tff(func_def_54,type,
    vnoQuestion: vOptQuestion ).

tff(func_def_55,type,
    vqgroup: ( vGID * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_56,type,
    vatmempty: vATMap ).

tff(func_def_57,type,
    vno: vYN ).

tff(func_def_58,type,
    vvalue: ( vQID * vAType * vExp ) > vEntry ).

tff(func_def_59,type,
    vgetAnswer: ( vLabel * vAType ) > vAval ).

tff(func_def_60,type,
    vecheck: ( vATMap * vExp ) > vOptAType ).

tff(func_def_61,type,
    vgetAM: vQConf > vAnsMap ).

tff(func_def_62,type,
    venumGID: vGID > vGID ).

tff(func_def_63,type,
    vaskText: vLabel > vstring ).

tff(func_def_64,type,
    vminus: ( vnat * vnat ) > vnat ).

tff(func_def_65,type,
    vtypeOf: vAval > vAType ).

tff(func_def_66,type,
    vevalBinOp: ( vBinOpT * vAval * vAval ) > vOptExp ).

tff(func_def_67,type,
    vgetQM: vQConf > vQMap ).

tff(func_def_68,type,
    vinitQID: vQID ).

tff(func_def_69,type,
    vplus: ( vnat * vnat ) > vnat ).

tff(func_def_70,type,
    vaskYesNo: vLabel > vYN ).

tff(func_def_71,type,
    vtypeAM: vAnsMap > vATMap ).

tff(func_def_72,type,
    vlookupQMap: ( vQID * vQMap ) > vOptQuestion ).

tff(func_def_73,type,
    vaskNumber: vLabel > vnat ).

tff(func_def_74,type,
    vinitLabel: vLabel ).

tff(func_def_75,type,
    vdivide: ( vnat * vnat ) > vnat ).

tff(func_def_76,type,
    vappendATMap: ( vATMap * vATMap ) > vATMap ).

tff(func_def_77,type,
    vor: ( vYN * vYN ) > vYN ).

tff(func_def_78,type,
    vpred: vnat > vnat ).

tff(func_def_79,type,
    vlookupATMap: ( vQID * vATMap ) > vOptAType ).

tff(func_def_80,type,
    vqcappend: ( vQConf * vQuestionnaire ) > vQConf ).

tff(func_def_81,type,
    venumchar: vchar > vchar ).

tff(func_def_82,type,
    vinitchar: vchar ).

tff(func_def_83,type,
    vgetQuest: vQConf > vQuestionnaire ).

tff(func_def_84,type,
    vevalUnOp: ( vUnOpT * vAval ) > vOptExp ).

tff(func_def_85,type,
    vcheckBinOp: ( vBinOpT * vAType * vAType ) > vOptAType ).

tff(func_def_86,type,
    vnot: vYN > vYN ).

tff(func_def_87,type,
    vreduce: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_88,type,
    vmultiply: ( vnat * vnat ) > vnat ).

tff(func_def_89,type,
    vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_90,type,
    vcheckUnOp: ( vUnOpT * vAType ) > vOptAType ).

tff(func_def_91,type,
    vtypeQM: vQMap > vATMap ).

tff(func_def_92,type,
    vintersectATM: ( vATMap * vATMap ) > vATMap ).

tff(func_def_93,type,
    venumLabel: vLabel > vLabel ).

tff(func_def_94,type,
    vinitGID: vGID ).

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

tff(func_def_96,type,
    vgt: ( vnat * vnat ) > vYN ).

tff(func_def_97,type,
    vlookupAnsMap: ( vQID * vAnsMap ) > vOptAval ).

tff(func_def_98,type,
    vreduceExp: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_99,type,
    venumQID: vQID > vQID ).

tff(func_def_100,type,
    vand: ( vYN * vYN ) > vYN ).

tff(func_def_101,type,
    vappend: ( vATList * vATList ) > vATList ).

tff(func_def_102,type,
    vgetQuestionQID: vOptQuestion > vQID ).

tff(func_def_103,type,
    vgetMapConf: vOptMapConf > vMapConf ).

tff(func_def_104,type,
    vgetQuestionLabel: vOptQuestion > vLabel ).

tff(func_def_105,type,
    vgetAType: vOptAType > vAType ).

tff(func_def_106,type,
    vgetQuestionAType: vOptQuestion > vAType ).

tff(func_def_107,type,
    vgetQC: vOptQConf > vQConf ).

tff(func_def_108,type,
    vgetExpValue: vExp > vAval ).

tff(func_def_109,type,
    vgetAval: vOptAval > vAval ).

tff(func_def_110,type,
    vgetExp: vOptExp > vExp ).

tff(func_def_111,type,
    sK59: vEntry > vQID ).

tff(func_def_112,type,
    sK60: vEntry > vLabel ).

tff(func_def_113,type,
    sK61: vEntry > vAType ).

tff(func_def_114,type,
    sK62: vEntry > vQID ).

tff(func_def_115,type,
    sK63: vEntry > vAType ).

tff(func_def_116,type,
    sK64: vEntry > vExp ).

tff(func_def_117,type,
    sK65: vEntry > vQID ).

tff(func_def_118,type,
    sK66: vEntry > vLabel ).

tff(func_def_119,type,
    sK67: vEntry > vAType ).

tff(func_def_120,type,
    sK68: vEntry > vQID ).

tff(func_def_121,type,
    sK69: vQMap > vQID ).

tff(func_def_122,type,
    sK70: vQMap > vLabel ).

tff(func_def_123,type,
    sK71: vQMap > vAType ).

tff(func_def_124,type,
    sK72: vQMap > vQMap ).

tff(func_def_125,type,
    sK73: vMapConf > vATMap ).

tff(func_def_126,type,
    sK74: vMapConf > vATMap ).

tff(func_def_127,type,
    sK75: vExp > vAval ).

tff(func_def_128,type,
    sK76: vExp > vQID ).

tff(func_def_129,type,
    sK77: vExp > vExp ).

tff(func_def_130,type,
    sK78: vExp > vBinOpT ).

tff(func_def_131,type,
    sK79: vExp > vExp ).

tff(func_def_132,type,
    sK80: vExp > vUnOpT ).

tff(func_def_133,type,
    sK81: vExp > vExp ).

tff(func_def_134,type,
    sK82: vnat > vnat ).

tff(func_def_135,type,
    sK83: vQuestionnaire > vEntry ).

tff(func_def_136,type,
    sK84: vQuestionnaire > vQuestionnaire ).

tff(func_def_137,type,
    sK85: vQuestionnaire > vQuestionnaire ).

tff(func_def_138,type,
    sK86: vQuestionnaire > vExp ).

tff(func_def_139,type,
    sK87: vQuestionnaire > vQuestionnaire ).

tff(func_def_140,type,
    sK88: vQuestionnaire > vQuestionnaire ).

tff(func_def_141,type,
    sK89: vQuestionnaire > vGID ).

tff(func_def_142,type,
    sK90: vQuestionnaire > vQuestionnaire ).

tff(func_def_143,type,
    sK91: vOptQConf > vQConf ).

tff(func_def_144,type,
    sK92: vOptAType > vAType ).

tff(func_def_145,type,
    sK93: vAval > vYN ).

tff(func_def_146,type,
    sK94: vAval > vnat ).

tff(func_def_147,type,
    sK95: vAval > vstring ).

tff(func_def_148,type,
    sK96: vOptExp > vExp ).

tff(func_def_149,type,
    sK97: vAnsMap > vQID ).

tff(func_def_150,type,
    sK98: vAnsMap > vAval ).

tff(func_def_151,type,
    sK99: vAnsMap > vAnsMap ).

tff(func_def_152,type,
    sK100: vATList > vAType ).

tff(func_def_153,type,
    sK101: vATList > vATList ).

tff(func_def_154,type,
    sK102: vOptQuestion > vQID ).

tff(func_def_155,type,
    sK103: vOptQuestion > vLabel ).

tff(func_def_156,type,
    sK104: vOptQuestion > vAType ).

tff(func_def_157,type,
    sK105: vATMap > vQID ).

tff(func_def_158,type,
    sK106: vATMap > vAType ).

tff(func_def_159,type,
    sK107: vATMap > vATMap ).

tff(func_def_160,type,
    sK108: vstring > vchar ).

tff(func_def_161,type,
    sK109: vstring > vstring ).

tff(func_def_162,type,
    sK110: vOptMapConf > vMapConf ).

tff(func_def_163,type,
    sK111: vQConf > vAnsMap ).

tff(func_def_164,type,
    sK112: vQConf > vQMap ).

tff(func_def_165,type,
    sK113: vQConf > vQuestionnaire ).

tff(func_def_166,type,
    sK114: vOptAval > vAval ).

tff(func_def_167,type,
    sK115: ( vYN * vYN ) > vYN ).

tff(func_def_168,type,
    sK116: ( vYN * vYN ) > vYN ).

tff(func_def_169,type,
    sK117: ( vYN * vYN ) > vYN ).

tff(func_def_170,type,
    sK118: ( vYN * vYN ) > vYN ).

tff(func_def_171,type,
    sK119: vnat > vnat ).

tff(func_def_172,type,
    sK120: ( vnat * vnat ) > vnat ).

tff(func_def_173,type,
    sK121: ( vnat * vnat ) > vnat ).

tff(func_def_174,type,
    sK122: ( vnat * vnat ) > vnat ).

tff(func_def_175,type,
    sK123: ( vnat * vnat ) > vnat ).

tff(func_def_176,type,
    sK124: ( vnat * vnat ) > vnat ).

tff(func_def_177,type,
    sK125: ( vnat * vnat ) > vnat ).

tff(func_def_178,type,
    sK126: ( vnat * vnat ) > vnat ).

tff(func_def_179,type,
    sK127: ( vnat * vnat ) > vnat ).

tff(func_def_180,type,
    sK128: ( vnat * vnat ) > vnat ).

tff(func_def_181,type,
    sK129: ( vnat * vnat ) > vnat ).

tff(func_def_182,type,
    sK130: ( vnat * vnat ) > vnat ).

tff(func_def_183,type,
    sK131: ( vnat * vnat ) > vnat ).

tff(func_def_184,type,
    sK132: ( vnat * vnat ) > vnat ).

tff(func_def_185,type,
    sK133: ( vnat * vnat ) > vnat ).

tff(func_def_186,type,
    sK134: ( vnat * vnat ) > vnat ).

tff(func_def_187,type,
    sK135: ( vnat * vnat ) > vnat ).

tff(func_def_188,type,
    sK136: ( vnat * vnat ) > vnat ).

tff(func_def_189,type,
    sK137: ( vnat * vnat ) > vnat ).

tff(func_def_190,type,
    sK138: ( vnat * vnat ) > vnat ).

tff(func_def_191,type,
    sK139: ( vnat * vnat ) > vnat ).

tff(func_def_192,type,
    sK140: ( vnat * vnat ) > vnat ).

tff(func_def_193,type,
    sK141: vOptAval > vAval ).

tff(func_def_194,type,
    sK142: vOptAType > vAType ).

tff(func_def_195,type,
    sK143: vAval > vYN ).

tff(func_def_196,type,
    sK144: vAval > vnat ).

tff(func_def_197,type,
    sK145: vAval > vstring ).

tff(func_def_198,type,
    sK146: ( vATList * vATList ) > vATList ).

tff(func_def_199,type,
    sK147: ( vATList * vATList ) > vAType ).

tff(func_def_200,type,
    sK148: ( vATList * vATList ) > vATList ).

tff(func_def_201,type,
    sK149: ( vATList * vATList ) > vATList ).

tff(func_def_202,type,
    sK150: ( vQID * vAnsMap ) > vQID ).

tff(func_def_203,type,
    sK151: ( vQID * vAnsMap ) > vAval ).

tff(func_def_204,type,
    sK152: ( vQID * vAnsMap ) > vAnsMap ).

tff(func_def_205,type,
    sK153: ( vQID * vAnsMap ) > vQID ).

tff(func_def_206,type,
    sK154: ( vQID * vAnsMap ) > vQID ).

tff(func_def_207,type,
    sK155: ( vQID * vAnsMap ) > vQID ).

tff(func_def_208,type,
    sK156: ( vQID * vAnsMap ) > vAval ).

tff(func_def_209,type,
    sK157: ( vQID * vAnsMap ) > vAnsMap ).

tff(func_def_210,type,
    sK158: ( vQID * vAnsMap ) > vQID ).

tff(func_def_211,type,
    sK159: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_212,type,
    sK160: ( vAnsMap * vAnsMap ) > vQID ).

tff(func_def_213,type,
    sK161: ( vAnsMap * vAnsMap ) > vAval ).

tff(func_def_214,type,
    sK162: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_215,type,
    sK163: ( vAnsMap * vAnsMap ) > vAnsMap ).

tff(func_def_216,type,
    sK164: vOptQuestion > vQID ).

tff(func_def_217,type,
    sK165: vOptQuestion > vLabel ).

tff(func_def_218,type,
    sK166: vOptQuestion > vAType ).

tff(func_def_219,type,
    sK167: ( vQID * vQMap ) > vQMap ).

tff(func_def_220,type,
    sK168: ( vQID * vQMap ) > vQID ).

tff(func_def_221,type,
    sK169: ( vQID * vQMap ) > vAType ).

tff(func_def_222,type,
    sK170: ( vQID * vQMap ) > vLabel ).

tff(func_def_223,type,
    sK171: ( vQID * vQMap ) > vQID ).

tff(func_def_224,type,
    sK172: ( vQID * vQMap ) > vQID ).

tff(func_def_225,type,
    sK173: ( vQID * vQMap ) > vQMap ).

tff(func_def_226,type,
    sK174: ( vQID * vQMap ) > vQID ).

tff(func_def_227,type,
    sK175: ( vQID * vQMap ) > vAType ).

tff(func_def_228,type,
    sK176: ( vQID * vQMap ) > vLabel ).

tff(func_def_229,type,
    sK177: ( vQID * vQMap ) > vQID ).

tff(func_def_230,type,
    sK178: vQConf > vAnsMap ).

tff(func_def_231,type,
    sK179: vQConf > vQMap ).

tff(func_def_232,type,
    sK180: vQConf > vQuestionnaire ).

tff(func_def_233,type,
    sK181: vQConf > vAnsMap ).

tff(func_def_234,type,
    sK182: vQConf > vQMap ).

tff(func_def_235,type,
    sK183: vQConf > vQuestionnaire ).

tff(func_def_236,type,
    sK184: vQConf > vAnsMap ).

tff(func_def_237,type,
    sK185: vQConf > vQMap ).

tff(func_def_238,type,
    sK186: vQConf > vQuestionnaire ).

tff(func_def_239,type,
    sK187: vQuestionnaire > vQuestionnaire ).

tff(func_def_240,type,
    sK188: vOptQConf > vQConf ).

tff(func_def_241,type,
    sK189: ( vQConf * vQuestionnaire ) > vAnsMap ).

tff(func_def_242,type,
    sK190: ( vQConf * vQuestionnaire ) > vQMap ).

tff(func_def_243,type,
    sK191: ( vQConf * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_244,type,
    sK192: ( vQConf * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_245,type,
    sK193: vOptExp > vExp ).

tff(func_def_246,type,
    sK194: vExp > vAval ).

tff(func_def_247,type,
    sK195: vExp > vAval ).

tff(func_def_248,type,
    sK196: vExp > vExp ).

tff(func_def_249,type,
    sK197: ( vLabel * vAType ) > vLabel ).

tff(func_def_250,type,
    sK198: ( vLabel * vAType ) > vLabel ).

tff(func_def_251,type,
    sK199: ( vLabel * vAType ) > vLabel ).

tff(func_def_252,type,
    sK200: vAval > vnat ).

tff(func_def_253,type,
    sK201: vAval > vnat ).

tff(func_def_254,type,
    sK202: vAval > vnat ).

tff(func_def_255,type,
    sK203: vAval > vnat ).

tff(func_def_256,type,
    sK204: vAval > vnat ).

tff(func_def_257,type,
    sK205: vAval > vnat ).

tff(func_def_258,type,
    sK206: vAval > vYN ).

tff(func_def_259,type,
    sK207: vAval > vYN ).

tff(func_def_260,type,
    sK208: vAval > vYN ).

tff(func_def_261,type,
    sK209: vAval > vYN ).

tff(func_def_262,type,
    sK210: vAval > vnat ).

tff(func_def_263,type,
    sK211: vAval > vnat ).

tff(func_def_264,type,
    sK212: vAval > vnat ).

tff(func_def_265,type,
    sK213: vAval > vnat ).

tff(func_def_266,type,
    sK214: vAval > vnat ).

tff(func_def_267,type,
    sK215: vAval > vnat ).

tff(func_def_268,type,
    sK216: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_269,type,
    sK217: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_270,type,
    sK218: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_271,type,
    sK219: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_272,type,
    sK220: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_273,type,
    sK221: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_274,type,
    sK222: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_275,type,
    sK223: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_276,type,
    sK224: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_277,type,
    sK225: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_278,type,
    sK226: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_279,type,
    sK227: ( vBinOpT * vAval * vAval ) > vYN ).

tff(func_def_280,type,
    sK228: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_281,type,
    sK229: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_282,type,
    sK230: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_283,type,
    sK231: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_284,type,
    sK232: ( vBinOpT * vAval * vAval ) > vBinOpT ).

tff(func_def_285,type,
    sK233: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_286,type,
    sK234: ( vBinOpT * vAval * vAval ) > vAval ).

tff(func_def_287,type,
    sK235: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_288,type,
    sK236: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_289,type,
    sK237: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_290,type,
    sK238: ( vBinOpT * vAval * vAval ) > vnat ).

tff(func_def_291,type,
    sK239: vAval > vYN ).

tff(func_def_292,type,
    sK240: ( vUnOpT * vAval ) > vYN ).

tff(func_def_293,type,
    sK241: ( vUnOpT * vAval ) > vUnOpT ).

tff(func_def_294,type,
    sK242: ( vUnOpT * vAval ) > vAval ).

tff(func_def_295,type,
    sK243: ( vExp * vAnsMap ) > vQID ).

tff(func_def_296,type,
    sK244: ( vExp * vAnsMap ) > vOptAval ).

tff(func_def_297,type,
    sK245: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_298,type,
    sK246: ( vExp * vAnsMap ) > vQID ).

tff(func_def_299,type,
    sK247: ( vExp * vAnsMap ) > vOptAval ).

tff(func_def_300,type,
    sK248: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_301,type,
    sK249: ( vExp * vAnsMap ) > vExp ).

tff(func_def_302,type,
    sK250: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_303,type,
    sK251: ( vExp * vAnsMap ) > vExp ).

tff(func_def_304,type,
    sK252: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_305,type,
    sK253: ( vExp * vAnsMap ) > vExp ).

tff(func_def_306,type,
    sK254: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_307,type,
    sK255: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_308,type,
    sK256: ( vExp * vAnsMap ) > vExp ).

tff(func_def_309,type,
    sK257: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_310,type,
    sK258: ( vExp * vAnsMap ) > vExp ).

tff(func_def_311,type,
    sK259: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_312,type,
    sK260: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_313,type,
    sK261: ( vExp * vAnsMap ) > vExp ).

tff(func_def_314,type,
    sK262: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_315,type,
    sK263: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_316,type,
    sK264: ( vExp * vAnsMap ) > vExp ).

tff(func_def_317,type,
    sK265: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_318,type,
    sK266: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_319,type,
    sK267: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_320,type,
    sK268: ( vExp * vAnsMap ) > vExp ).

tff(func_def_321,type,
    sK269: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_322,type,
    sK270: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_323,type,
    sK271: ( vExp * vAnsMap ) > vExp ).

tff(func_def_324,type,
    sK272: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_325,type,
    sK273: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_326,type,
    sK274: ( vExp * vAnsMap ) > vExp ).

tff(func_def_327,type,
    sK275: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_328,type,
    sK276: ( vExp * vAnsMap ) > vExp ).

tff(func_def_329,type,
    sK277: ( vExp * vAnsMap ) > vOptExp ).

tff(func_def_330,type,
    sK278: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_331,type,
    sK279: ( vExp * vAnsMap ) > vExp ).

tff(func_def_332,type,
    sK280: ( vExp * vAnsMap ) > vBinOpT ).

tff(func_def_333,type,
    sK281: ( vExp * vAnsMap ) > vAval ).

tff(func_def_334,type,
    sK282: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_335,type,
    sK283: ( vExp * vAnsMap ) > vUnOpT ).

tff(func_def_336,type,
    sK284: ( vExp * vAnsMap ) > vExp ).

tff(func_def_337,type,
    sK285: ( vExp * vAnsMap ) > vAnsMap ).

tff(func_def_338,type,
    sK286: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_339,type,
    sK287: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_340,type,
    sK288: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_341,type,
    sK289: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_342,type,
    sK290: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_343,type,
    sK291: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_344,type,
    sK292: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_345,type,
    sK293: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_346,type,
    sK294: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_347,type,
    sK295: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_348,type,
    sK296: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_349,type,
    sK297: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_350,type,
    sK298: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_351,type,
    sK299: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_352,type,
    sK300: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_353,type,
    sK301: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_354,type,
    sK302: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_355,type,
    sK303: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_356,type,
    sK304: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_357,type,
    sK305: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_358,type,
    sK306: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_359,type,
    sK307: ( vQuestionnaire * vAnsMap * vQMap ) > vGID ).

tff(func_def_360,type,
    sK308: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_361,type,
    sK309: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_362,type,
    sK310: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_363,type,
    sK311: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_364,type,
    sK312: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_365,type,
    sK313: ( vQuestionnaire * vAnsMap * vQMap ) > vLabel ).

tff(func_def_366,type,
    sK314: ( vQuestionnaire * vAnsMap * vQMap ) > vAval ).

tff(func_def_367,type,
    sK315: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_368,type,
    sK316: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_369,type,
    sK317: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_370,type,
    sK318: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_371,type,
    sK319: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_372,type,
    sK320: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_373,type,
    sK321: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_374,type,
    sK322: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_375,type,
    sK323: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQuestion ).

tff(func_def_376,type,
    sK324: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_377,type,
    sK325: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_378,type,
    sK326: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_379,type,
    sK327: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQuestion ).

tff(func_def_380,type,
    sK328: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_381,type,
    sK329: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_382,type,
    sK330: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_383,type,
    sK331: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_384,type,
    sK332: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_385,type,
    sK333: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_386,type,
    sK334: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_387,type,
    sK335: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_388,type,
    sK336: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_389,type,
    sK337: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_390,type,
    sK338: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_391,type,
    sK339: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_392,type,
    sK340: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_393,type,
    sK341: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_394,type,
    sK342: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_395,type,
    sK343: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_396,type,
    sK344: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_397,type,
    sK345: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_398,type,
    sK346: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_399,type,
    sK347: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_400,type,
    sK348: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_401,type,
    sK349: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_402,type,
    sK350: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_403,type,
    sK351: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).

tff(func_def_404,type,
    sK352: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_405,type,
    sK353: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_406,type,
    sK354: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_407,type,
    sK355: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_408,type,
    sK356: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_409,type,
    sK357: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_410,type,
    sK358: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_411,type,
    sK359: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).

tff(func_def_412,type,
    sK360: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_413,type,
    sK361: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).

tff(func_def_414,type,
    sK362: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_415,type,
    sK363: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).

tff(func_def_416,type,
    sK364: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_417,type,
    sK365: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_418,type,
    sK366: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).

tff(func_def_419,type,
    sK367: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).

tff(func_def_420,type,
    sK368: ( vQuestionnaire * vAnsMap * vQMap ) > vLabel ).

tff(func_def_421,type,
    sK369: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).

tff(func_def_422,type,
    sK370: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).

tff(func_def_423,type,
    sK371: ( vQID * vATMap ) > vQID ).

tff(func_def_424,type,
    sK372: ( vQID * vATMap ) > vAType ).

tff(func_def_425,type,
    sK373: ( vQID * vATMap ) > vATMap ).

tff(func_def_426,type,
    sK374: ( vQID * vATMap ) > vQID ).

tff(func_def_427,type,
    sK375: ( vQID * vATMap ) > vQID ).

tff(func_def_428,type,
    sK376: ( vQID * vATMap ) > vQID ).

tff(func_def_429,type,
    sK377: ( vQID * vATMap ) > vAType ).

tff(func_def_430,type,
    sK378: ( vQID * vATMap ) > vATMap ).

tff(func_def_431,type,
    sK379: ( vQID * vATMap ) > vQID ).

tff(func_def_432,type,
    sK380: ( vATMap * vATMap ) > vATMap ).

tff(func_def_433,type,
    sK381: ( vATMap * vATMap ) > vQID ).

tff(func_def_434,type,
    sK382: ( vATMap * vATMap ) > vAType ).

tff(func_def_435,type,
    sK383: ( vATMap * vATMap ) > vATMap ).

tff(func_def_436,type,
    sK384: ( vATMap * vATMap ) > vATMap ).

tff(func_def_437,type,
    sK385: ( vATMap * vATMap ) > vATMap ).

tff(func_def_438,type,
    sK386: ( vATMap * vATMap ) > vATMap ).

tff(func_def_439,type,
    sK387: ( vATMap * vATMap ) > vOptAType ).

tff(func_def_440,type,
    sK388: ( vATMap * vATMap ) > vAType ).

tff(func_def_441,type,
    sK389: ( vATMap * vATMap ) > vATMap ).

tff(func_def_442,type,
    sK390: ( vATMap * vATMap ) > vQID ).

tff(func_def_443,type,
    sK391: ( vATMap * vATMap ) > vATMap ).

tff(func_def_444,type,
    sK392: ( vATMap * vATMap ) > vATMap ).

tff(func_def_445,type,
    sK393: ( vATMap * vATMap ) > vATMap ).

tff(func_def_446,type,
    sK394: ( vATMap * vATMap ) > vOptAType ).

tff(func_def_447,type,
    sK395: ( vATMap * vATMap ) > vAType ).

tff(func_def_448,type,
    sK396: ( vATMap * vATMap ) > vATMap ).

tff(func_def_449,type,
    sK397: ( vATMap * vATMap ) > vQID ).

tff(func_def_450,type,
    sK398: vOptMapConf > vMapConf ).

tff(func_def_451,type,
    sK399: vAnsMap > vQID ).

tff(func_def_452,type,
    sK400: vAnsMap > vAval ).

tff(func_def_453,type,
    sK401: vAnsMap > vAnsMap ).

tff(func_def_454,type,
    sK402: vQMap > vQID ).

tff(func_def_455,type,
    sK403: vQMap > vLabel ).

tff(func_def_456,type,
    sK404: vQMap > vAType ).

tff(func_def_457,type,
    sK405: vQMap > vQMap ).

tff(func_def_458,type,
    sK406: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_459,type,
    sK407: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_460,type,
    sK408: ( vBinOpT * vAType * vAType ) > vBinOpT ).

tff(func_def_461,type,
    sK409: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_462,type,
    sK410: ( vBinOpT * vAType * vAType ) > vAType ).

tff(func_def_463,type,
    sK411: ( vUnOpT * vAType ) > vUnOpT ).

tff(func_def_464,type,
    sK412: ( vUnOpT * vAType ) > vAType ).

tff(func_def_465,type,
    sK413: ( vATMap * vExp ) > vQID ).

tff(func_def_466,type,
    sK414: ( vATMap * vExp ) > vATMap ).

tff(func_def_467,type,
    sK415: ( vATMap * vExp ) > vUnOpT ).

tff(func_def_468,type,
    sK416: ( vATMap * vExp ) > vExp ).

tff(func_def_469,type,
    sK417: ( vATMap * vExp ) > vOptAType ).

tff(func_def_470,type,
    sK418: ( vATMap * vExp ) > vATMap ).

tff(func_def_471,type,
    sK419: ( vATMap * vExp ) > vUnOpT ).

tff(func_def_472,type,
    sK420: ( vATMap * vExp ) > vExp ).

tff(func_def_473,type,
    sK421: ( vATMap * vExp ) > vOptAType ).

tff(func_def_474,type,
    sK422: ( vATMap * vExp ) > vATMap ).

tff(func_def_475,type,
    sK423: ( vATMap * vExp ) > vATMap ).

tff(func_def_476,type,
    sK424: ( vATMap * vExp ) > vOptAType ).

tff(func_def_477,type,
    sK425: ( vATMap * vExp ) > vExp ).

tff(func_def_478,type,
    sK426: ( vATMap * vExp ) > vOptAType ).

tff(func_def_479,type,
    sK427: ( vATMap * vExp ) > vExp ).

tff(func_def_480,type,
    sK428: ( vATMap * vExp ) > vBinOpT ).

tff(func_def_481,type,
    sK429: ( vATMap * vExp ) > vATMap ).

tff(func_def_482,type,
    sK430: ( vATMap * vExp ) > vOptAType ).

tff(func_def_483,type,
    sK431: ( vATMap * vExp ) > vExp ).

tff(func_def_484,type,
    sK432: ( vATMap * vExp ) > vOptAType ).

tff(func_def_485,type,
    sK433: ( vATMap * vExp ) > vExp ).

tff(func_def_486,type,
    sK434: ( vATMap * vExp ) > vBinOpT ).

tff(func_def_487,type,
    sK435: ( vATMap * vExp ) > vATMap ).

tff(func_def_488,type,
    sK436: ( vATMap * vExp ) > vYN ).

tff(func_def_489,type,
    sK437: ( vATMap * vExp ) > vnat ).

tff(func_def_490,type,
    sK438: ( vATMap * vExp ) > vATMap ).

tff(func_def_491,type,
    sK439: ( vATMap * vExp ) > vstring ).

tff(func_def_492,type,
    sK440: ( vATMap * vExp ) > vATMap ).

tff(func_def_493,type,
    sK441: ( vATMap * vQID ) > vAType ).

tff(func_def_494,type,
    sK442: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_495,type,
    sK443: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_496,type,
    sK444: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_497,type,
    sK445: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_498,type,
    sK446: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_499,type,
    sK447: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).

tff(func_def_500,type,
    sK448: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_501,type,
    sK449: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).

tff(func_def_502,type,
    sK450: vAnsMap > vExp ).

tff(func_def_503,type,
    sK451: vAnsMap > vExp ).

tff(func_def_504,type,
    sK452: ( vBinOpT * vAval * vAval ) > vExp ).

tff(func_def_505,type,
    sK453: vBinOpT ).

tff(func_def_506,type,
    sK454: vAnsMap ).

tff(func_def_507,type,
    sK455: vAType ).

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: ( vQID * vAnsMap ) > $o ).

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

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

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

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

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

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

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

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

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

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

tff(pred_def_21,type,
    sP11: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_22,type,
    sP12: ( vBinOpT * vAval * vAval ) > $o ).

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

tff(pred_def_24,type,
    sP14: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_25,type,
    sP15: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_26,type,
    sP16: ( vExp * vAnsMap ) > $o ).

tff(pred_def_27,type,
    sP17: ( vExp * vAnsMap ) > $o ).

tff(pred_def_28,type,
    sP18: ( vExp * vAnsMap ) > $o ).

tff(pred_def_29,type,
    sP19: ( vExp * vAnsMap ) > $o ).

tff(pred_def_30,type,
    sP20: ( vExp * vAnsMap ) > $o ).

tff(pred_def_31,type,
    sP21: ( vExp * vAnsMap ) > $o ).

tff(pred_def_32,type,
    sP22: ( vExp * vAnsMap ) > $o ).

tff(pred_def_33,type,
    sP23: ( vExp * vAnsMap ) > $o ).

tff(pred_def_34,type,
    sP24: ( vExp * vAnsMap ) > $o ).

tff(pred_def_35,type,
    sP25: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_36,type,
    sP26: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_37,type,
    sP27: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_38,type,
    sP28: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_39,type,
    sP29: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_40,type,
    sP30: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_41,type,
    sP31: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_42,type,
    sP32: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_43,type,
    sP33: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_44,type,
    sP34: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

tff(pred_def_45,type,
    sP35: ( vQuestionnaire * vAnsMap * vQMap ) > $o ).

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

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

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

tff(pred_def_49,type,
    sP39: ( vQID * vATMap ) > $o ).

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

tff(pred_def_51,type,
    sP41: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_52,type,
    sP42: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_53,type,
    sP43: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_54,type,
    sP44: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_55,type,
    sP45: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_56,type,
    sP46: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_57,type,
    sP47: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_58,type,
    sP48: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_59,type,
    sP49: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_60,type,
    sP50: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_61,type,
    sP51: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_62,type,
    sP52: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_63,type,
    sP53: ( vBinOpT * vAType * vAType ) > $o ).

tff(pred_def_64,type,
    sP54: ( vATMap * vExp ) > $o ).

tff(pred_def_65,type,
    sP55: ( vATMap * vExp ) > $o ).

tff(pred_def_66,type,
    sP56: ( vATMap * vExp ) > $o ).

tff(pred_def_67,type,
    sP57: ( vATMap * vExp ) > $o ).

tff(pred_def_68,type,
    sP58: ( vATMap * vExp ) > $o ).

tff(pred_def_69,type,
    sP456: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_70,type,
    sP457: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_71,type,
    sP458: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_72,type,
    sP459: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_73,type,
    sP460: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_74,type,
    sP461: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_75,type,
    sP462: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_76,type,
    sP463: ( vBinOpT * vAval * vAval ) > $o ).

tff(pred_def_77,type,
    sP464: ( vATMap * vATMap * vQID * vATMap ) > $o ).

tff(pred_def_78,type,
    sP465: ( vQuestionnaire * vATMap * vATMap * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_79,type,
    sP466: ( vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_80,type,
    sP467: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_81,type,
    sP468: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_82,type,
    sP469: ( vQuestionnaire * vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_83,type,
    sP470: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_84,type,
    sP471: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_85,type,
    sP472: ( vQuestionnaire * vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_86,type,
    sP473: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_87,type,
    sP474: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_88,type,
    sP475: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_89,type,
    sP476: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_90,type,
    sP477: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).

tff(pred_def_91,type,
    sP478: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_92,type,
    sP479: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).

tff(pred_def_93,type,
    sP480: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_94,type,
    sP481: ( vATMap * vATMap * vQuestionnaire * vQuestionnaire * vATMap ) > $o ).

tff(pred_def_95,type,
    sP482: ( vATMap * vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).

tff(pred_def_96,type,
    sP483: ( vATMap * vATMap * vATMap * vQuestionnaire * vQuestionnaire ) > $o ).

tff(pred_def_97,type,
    sP484: ( vATMap * vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).

tff(f28,axiom,
    ! [X0: vExp,X1: vExp,X2: vExp,X3: vExp,X4: vBinOpT,X5: vBinOpT] :
      ( ( vbinop(X3,X4,X0) = vbinop(X2,X5,X1) )
     => ( ( X3 = X2 )
        & ( X4 = X5 )
        & ( X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-binop') ).

tff(f31,axiom,
    ! [X0: vAval,X1: vExp,X2: vBinOpT,X3: vExp] : ( vconstant(X0) != vbinop(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-constant-binop') ).

tff(f33,axiom,
    ! [X0: vQID,X1: vExp,X2: vBinOpT,X3: vExp] : ( vqvar(X0) != vbinop(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-qvar-binop') ).

tff(f35,axiom,
    ! [X0: vExp,X1: vUnOpT,X2: vExp,X3: vExp,X4: vBinOpT] : ( vbinop(X3,X4,X0) != vunop(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-binop-unop') ).

tff(f59,axiom,
    ! [X0: vOptAType] :
      ( ( X0 = vnoAType )
      | ? [X1: vAType] : ( X0 = vsomeAType(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptAType') ).

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

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

tff(f226,axiom,
    ! [X0: vOptExp] :
      ( visSomeExp(X0)
     => ? [X1: vExp] : ( X0 = vsomeExp(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeExp-true-INV') ).

tff(f227,axiom,
    ! [X0: vOptExp] :
      ( ~ visSomeExp(X0)
     => ( X0 = vnoExp ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeExp-false-INV') ).

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

tff(f262,axiom,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vAval,X3: vAnsMap] :
          ( ( X0 = vconstant(X2) )
          & ( X1 = X3 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ? [X4: vQID,X5: vOptAval,X6: vAnsMap] :
          ( ( X5 = vlookupAnsMap(X4,X6) )
          & visSomeAval(X5)
          & ( X0 = vqvar(X4) )
          & ( X1 = X6 )
          & ( vreduceExp(X0,X1) = vsomeExp(vconstant(vgetAval(X5))) ) )
      | ? [X7: vQID,X8: vOptAval,X9: vAnsMap] :
          ( ( X8 = vlookupAnsMap(X7,X9) )
          & ~ visSomeAval(X8)
          & ( X0 = vqvar(X7) )
          & ( X1 = X9 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ? [X10: vExp,X11: vBinOpT,X12: vExp,X13: vAnsMap] :
          ( vexpIsValue(X10)
          & vexpIsValue(X12)
          & ( X0 = vbinop(X10,X11,X12) )
          & ( X1 = X13 )
          & ( vreduceExp(X0,X1) = vevalBinOp(X11,vgetExpValue(X10),vgetExpValue(X12)) ) )
      | ? [X14: vExp,X15: vOptExp,X16: vAnsMap,X17: vExp,X18: vBinOpT] :
          ( vexpIsValue(X14)
          & ~ vexpIsValue(X17)
          & ( X15 = vreduceExp(X17,X16) )
          & visSomeExp(X15)
          & ( X0 = vbinop(X14,X18,X17) )
          & ( X1 = X16 )
          & ( vreduceExp(X0,X1) = vsomeExp(vbinop(X14,X18,vgetExp(X15))) ) )
      | ? [X19: vExp,X20: vOptExp,X21: vAnsMap,X22: vExp,X23: vBinOpT] :
          ( vexpIsValue(X19)
          & ~ vexpIsValue(X22)
          & ( X20 = vreduceExp(X22,X21) )
          & ~ visSomeExp(X20)
          & ( X0 = vbinop(X19,X23,X22) )
          & ( X1 = X21 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ? [X24: vExp,X25: vOptExp,X26: vAnsMap,X27: vExp,X28: vBinOpT] :
          ( ~ vexpIsValue(X24)
          & ( X25 = vreduceExp(X24,X26) )
          & visSomeExp(X25)
          & ( X0 = vbinop(X24,X28,X27) )
          & ( X1 = X26 )
          & ( vreduceExp(X0,X1) = vsomeExp(vbinop(vgetExp(X25),X28,X27)) ) )
      | ? [X29: vExp,X30: vOptExp,X31: vAnsMap,X32: vExp,X33: vBinOpT] :
          ( ~ vexpIsValue(X29)
          & ( X30 = vreduceExp(X29,X31) )
          & ~ visSomeExp(X30)
          & ( X0 = vbinop(X29,X33,X32) )
          & ( X1 = X31 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ? [X34: vUnOpT,X35: vExp,X36: vAnsMap] :
          ( vexpIsValue(X35)
          & ( X0 = vunop(X34,X35) )
          & ( X1 = X36 )
          & ( vreduceExp(X0,X1) = vevalUnOp(X34,vgetExpValue(X35)) ) )
      | ? [X37: vUnOpT,X38: vExp,X39: vOptExp,X40: vAnsMap] :
          ( ~ vexpIsValue(X38)
          & ( X39 = vreduceExp(X38,X40) )
          & visSomeExp(X39)
          & ( X0 = vunop(X37,X38) )
          & ( X1 = X40 )
          & ( vreduceExp(X0,X1) = vsomeExp(vunop(X37,vgetExp(X39))) ) )
      | ? [X41: vUnOpT,X42: vExp,X43: vOptExp,X44: vAnsMap] :
          ( ~ vexpIsValue(X42)
          & ( X43 = vreduceExp(X42,X44) )
          & ~ visSomeExp(X43)
          & ( X0 = vunop(X41,X42) )
          & ( X1 = X44 )
          & ( vreduceExp(X0,X1) = vnoExp ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-INV') ).

tff(f323,axiom,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X2: vATMap,X3: vYN] :
          ( ( X0 = X2 )
          & ( X1 = vconstant(vB(X3)) )
          & ( vecheck(X0,X1) = vsomeAType(vYesNo) ) )
      | ? [X4: vnat,X5: vATMap] :
          ( ( X0 = X5 )
          & ( X1 = vconstant(vNum(X4)) )
          & ( vecheck(X0,X1) = vsomeAType(vNumber) ) )
      | ? [X6: vstring,X7: vATMap] :
          ( ( X0 = X7 )
          & ( X1 = vconstant(vT(X6)) )
          & ( vecheck(X0,X1) = vsomeAType(vText) ) )
      | ? [X8: vQID,X9: vATMap] :
          ( ( X0 = X9 )
          & ( X1 = vqvar(X8) )
          & ( vecheck(X0,X1) = vlookupATMap(X8,X9) ) )
      | ? [X10: vATMap,X11: vOptAType,X12: vExp,X13: vOptAType,X14: vExp,X15: vBinOpT] :
          ( ( X11 = vecheck(X10,X12) )
          & ( X13 = vecheck(X10,X14) )
          & visSomeAType(X11)
          & visSomeAType(X13)
          & ( X0 = X10 )
          & ( X1 = vbinop(X12,X15,X14) )
          & ( vecheck(X0,X1) = vcheckBinOp(X15,vgetAType(X11),vgetAType(X13)) ) )
      | ? [X16: vATMap,X17: vOptAType,X18: vExp,X19: vOptAType,X20: vExp,X21: vBinOpT] :
          ( ( X17 = vecheck(X16,X18) )
          & ( X19 = vecheck(X16,X20) )
          & ~ ( visSomeAType(X17)
              & visSomeAType(X19) )
          & ( X0 = X16 )
          & ( X1 = vbinop(X18,X21,X20) )
          & ( vecheck(X0,X1) = vnoAType ) )
      | ? [X22: vUnOpT,X23: vExp,X24: vOptAType,X25: vATMap] :
          ( ( X24 = vecheck(X25,X23) )
          & visSomeAType(X24)
          & ( X0 = X25 )
          & ( X1 = vunop(X22,X23) )
          & ( vecheck(X0,X1) = vcheckUnOp(X22,vgetAType(X24)) ) )
      | ? [X26: vUnOpT,X27: vExp,X28: vOptAType,X29: vATMap] :
          ( ( X28 = vecheck(X29,X27) )
          & ~ visSomeAType(X28)
          & ( X0 = X29 )
          & ( X1 = vunop(X26,X27) )
          & ( vecheck(X0,X1) = vnoAType ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-INV') ).

tff(f362,axiom,
    ! [X0: vBinOpT,X1: vAval,X2: vATMap,X3: vAval,X4: vAType] :
      ( ( vecheck(X2,vbinop(vconstant(X1),X0,vconstant(X3))) = vsomeAType(X4) )
     => ? [X5: vExp] : ( vevalBinOp(X0,X1,X3) = vsomeExp(X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',evalBinOpProgress) ).

tff(f364,conjecture,
    ! [X0: vBinOpT,X1: vAnsMap,X2: vAType] :
      ( ( vexpIsValue(ve2)
        & vexpIsValue(ve1)
        & ~ vexpIsValue(vbinop(ve1,X0,ve2))
        & ( vecheck(vtypeAM(X1),vbinop(ve1,X0,ve2)) = vsomeAType(X2) ) )
     => ? [X3: vExp] : ( vreduceExp(vbinop(ve1,X0,ve2),X1) = vsomeExp(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExpProgress-binop-expIsValue-True-expIsValue-True') ).

tff(f365,negated_conjecture,
    ~ ! [X0: vBinOpT,X1: vAnsMap,X2: vAType] :
        ( ( vexpIsValue(ve2)
          & vexpIsValue(ve1)
          & ~ vexpIsValue(vbinop(ve1,X0,ve2))
          & ( vecheck(vtypeAM(X1),vbinop(ve1,X0,ve2)) = vsomeAType(X2) ) )
       => ? [X3: vExp] : ( vreduceExp(vbinop(ve1,X0,ve2),X1) = vsomeExp(X3) ) ),
    inference(negated_conjecture,[status(cth)],[f364]) ).

tff(f379,plain,
    ! [X0: vExp,X1: vExp,X2: vExp,X3: vExp,X4: vBinOpT,X5: vBinOpT] :
      ( ( ( X3 = X2 )
        & ( X4 = X5 )
        & ( X0 = X1 ) )
      | ( vbinop(X3,X4,X0) != vbinop(X2,X5,X1) ) ),
    inference(ennf_transformation,[],[f28]) ).

tff(f420,plain,
    ! [X0: vOptExp] :
      ( ? [X1: vExp] : ( X0 = vsomeExp(X1) )
      | ~ visSomeExp(X0) ),
    inference(ennf_transformation,[],[f226]) ).

tff(f421,plain,
    ! [X0: vOptExp] :
      ( ( X0 = vnoExp )
      | visSomeExp(X0) ),
    inference(ennf_transformation,[],[f227]) ).

tff(f422,plain,
    ! [X0: vExp] :
      ( ~ vexpIsValue(X0)
      | ? [X1: vAval] : ( vconstant(X1) = X0 ) ),
    inference(ennf_transformation,[],[f229]) ).

tff(f476,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X2: vATMap,X3: vYN] :
          ( ( X0 = X2 )
          & ( X1 = vconstant(vB(X3)) )
          & ( vecheck(X0,X1) = vsomeAType(vYesNo) ) )
      | ? [X4: vnat,X5: vATMap] :
          ( ( X0 = X5 )
          & ( X1 = vconstant(vNum(X4)) )
          & ( vecheck(X0,X1) = vsomeAType(vNumber) ) )
      | ? [X6: vstring,X7: vATMap] :
          ( ( X0 = X7 )
          & ( X1 = vconstant(vT(X6)) )
          & ( vecheck(X0,X1) = vsomeAType(vText) ) )
      | ? [X8: vQID,X9: vATMap] :
          ( ( X0 = X9 )
          & ( X1 = vqvar(X8) )
          & ( vecheck(X0,X1) = vlookupATMap(X8,X9) ) )
      | ? [X10: vATMap,X11: vOptAType,X12: vExp,X13: vOptAType,X14: vExp,X15: vBinOpT] :
          ( ( X11 = vecheck(X10,X12) )
          & ( X13 = vecheck(X10,X14) )
          & visSomeAType(X11)
          & visSomeAType(X13)
          & ( X0 = X10 )
          & ( X1 = vbinop(X12,X15,X14) )
          & ( vecheck(X0,X1) = vcheckBinOp(X15,vgetAType(X11),vgetAType(X13)) ) )
      | ? [X16: vATMap,X17: vOptAType,X18: vExp,X19: vOptAType,X20: vExp,X21: vBinOpT] :
          ( ( X17 = vecheck(X16,X18) )
          & ( X19 = vecheck(X16,X20) )
          & ( ~ visSomeAType(X17)
            | ~ visSomeAType(X19) )
          & ( X0 = X16 )
          & ( X1 = vbinop(X18,X21,X20) )
          & ( vecheck(X0,X1) = vnoAType ) )
      | ? [X22: vUnOpT,X23: vExp,X24: vOptAType,X25: vATMap] :
          ( ( X24 = vecheck(X25,X23) )
          & visSomeAType(X24)
          & ( X0 = X25 )
          & ( X1 = vunop(X22,X23) )
          & ( vecheck(X0,X1) = vcheckUnOp(X22,vgetAType(X24)) ) )
      | ? [X26: vUnOpT,X27: vExp,X28: vOptAType,X29: vATMap] :
          ( ( X28 = vecheck(X29,X27) )
          & ~ visSomeAType(X28)
          & ( X0 = X29 )
          & ( X1 = vunop(X26,X27) )
          & ( vecheck(X0,X1) = vnoAType ) ) ),
    inference(ennf_transformation,[],[f323]) ).

tff(f528,plain,
    ! [X0: vBinOpT,X1: vAval,X2: vATMap,X3: vAval,X4: vAType] :
      ( ? [X5: vExp] : ( vevalBinOp(X0,X1,X3) = vsomeExp(X5) )
      | ( vsomeAType(X4) != vecheck(X2,vbinop(vconstant(X1),X0,vconstant(X3))) ) ),
    inference(ennf_transformation,[],[f362]) ).

tff(f531,plain,
    ? [X0: vBinOpT,X1: vAnsMap,X2: vAType] :
      ( ! [X3: vExp] : ( vreduceExp(vbinop(ve1,X0,ve2),X1) != vsomeExp(X3) )
      & vexpIsValue(ve2)
      & vexpIsValue(ve1)
      & ~ vexpIsValue(vbinop(ve1,X0,ve2))
      & ( vecheck(vtypeAM(X1),vbinop(ve1,X0,ve2)) = vsomeAType(X2) ) ),
    inference(ennf_transformation,[],[f365]) ).

tff(f532,plain,
    ? [X0: vBinOpT,X1: vAnsMap,X2: vAType] :
      ( ! [X3: vExp] : ( vreduceExp(vbinop(ve1,X0,ve2),X1) != vsomeExp(X3) )
      & vexpIsValue(ve2)
      & vexpIsValue(ve1)
      & ~ vexpIsValue(vbinop(ve1,X0,ve2))
      & ( vecheck(vtypeAM(X1),vbinop(ve1,X0,ve2)) = vsomeAType(X2) ) ),
    inference(flattening,[],[f531]) ).

tff(f553,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X19: vExp,X20: vOptExp,X21: vAnsMap,X22: vExp,X23: vBinOpT] :
          ( vexpIsValue(X19)
          & ~ vexpIsValue(X22)
          & ( X20 = vreduceExp(X22,X21) )
          & ~ visSomeExp(X20)
          & ( X0 = vbinop(X19,X23,X22) )
          & ( X1 = X21 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP16(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).

tff(f554,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X14: vExp,X15: vOptExp,X16: vAnsMap,X17: vExp,X18: vBinOpT] :
          ( vexpIsValue(X14)
          & ~ vexpIsValue(X17)
          & ( X15 = vreduceExp(X17,X16) )
          & visSomeExp(X15)
          & ( X0 = vbinop(X14,X18,X17) )
          & ( X1 = X16 )
          & ( vreduceExp(X0,X1) = vsomeExp(vbinop(X14,X18,vgetExp(X15))) ) )
      | ~ sP17(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).

tff(f555,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X41: vUnOpT,X42: vExp,X43: vOptExp,X44: vAnsMap] :
          ( ~ vexpIsValue(X42)
          & ( X43 = vreduceExp(X42,X44) )
          & ~ visSomeExp(X43)
          & ( X0 = vunop(X41,X42) )
          & ( X1 = X44 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP18(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).

tff(f556,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X37: vUnOpT,X38: vExp,X39: vOptExp,X40: vAnsMap] :
          ( ~ vexpIsValue(X38)
          & ( X39 = vreduceExp(X38,X40) )
          & visSomeExp(X39)
          & ( X0 = vunop(X37,X38) )
          & ( X1 = X40 )
          & ( vreduceExp(X0,X1) = vsomeExp(vunop(X37,vgetExp(X39))) ) )
      | ~ sP19(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).

tff(f557,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X29: vExp,X30: vOptExp,X31: vAnsMap,X32: vExp,X33: vBinOpT] :
          ( ~ vexpIsValue(X29)
          & ( X30 = vreduceExp(X29,X31) )
          & ~ visSomeExp(X30)
          & ( X0 = vbinop(X29,X33,X32) )
          & ( X1 = X31 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP20(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).

tff(f558,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X24: vExp,X25: vOptExp,X26: vAnsMap,X27: vExp,X28: vBinOpT] :
          ( ~ vexpIsValue(X24)
          & ( X25 = vreduceExp(X24,X26) )
          & visSomeExp(X25)
          & ( X0 = vbinop(X24,X28,X27) )
          & ( X1 = X26 )
          & ( vreduceExp(X0,X1) = vsomeExp(vbinop(vgetExp(X25),X28,X27)) ) )
      | ~ sP21(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).

tff(f559,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X10: vExp,X11: vBinOpT,X12: vExp,X13: vAnsMap] :
          ( vexpIsValue(X10)
          & vexpIsValue(X12)
          & ( X0 = vbinop(X10,X11,X12) )
          & ( X1 = X13 )
          & ( vreduceExp(X0,X1) = vevalBinOp(X11,vgetExpValue(X10),vgetExpValue(X12)) ) )
      | ~ sP22(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).

tff(f560,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X7: vQID,X8: vOptAval,X9: vAnsMap] :
          ( ( X8 = vlookupAnsMap(X7,X9) )
          & ~ visSomeAval(X8)
          & ( X0 = vqvar(X7) )
          & ( X1 = X9 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP23(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).

tff(f561,definition,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X4: vQID,X5: vOptAval,X6: vAnsMap] :
          ( ( X5 = vlookupAnsMap(X4,X6) )
          & visSomeAval(X5)
          & ( X0 = vqvar(X4) )
          & ( X1 = X6 )
          & ( vreduceExp(X0,X1) = vsomeExp(vconstant(vgetAval(X5))) ) )
      | ~ sP24(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).

tff(f562,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vAval,X3: vAnsMap] :
          ( ( X0 = vconstant(X2) )
          & ( X1 = X3 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | sP24(X0,X1)
      | sP23(X0,X1)
      | sP22(X0,X1)
      | sP17(X0,X1)
      | sP16(X0,X1)
      | sP21(X0,X1)
      | sP20(X0,X1)
      | ? [X34: vUnOpT,X35: vExp,X36: vAnsMap] :
          ( vexpIsValue(X35)
          & ( X0 = vunop(X34,X35) )
          & ( X1 = X36 )
          & ( vreduceExp(X0,X1) = vevalUnOp(X34,vgetExpValue(X35)) ) )
      | sP19(X0,X1)
      | sP18(X0,X1) ),
    inference(definition_folding,[],[f262,f561,f560,f559,f558,f557,f556,f555,f554,f553]) ).

tff(f597,definition,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X10: vATMap,X11: vOptAType,X12: vExp,X13: vOptAType,X14: vExp,X15: vBinOpT] :
          ( ( X11 = vecheck(X10,X12) )
          & ( X13 = vecheck(X10,X14) )
          & visSomeAType(X11)
          & visSomeAType(X13)
          & ( X0 = X10 )
          & ( X1 = vbinop(X12,X15,X14) )
          & ( vecheck(X0,X1) = vcheckBinOp(X15,vgetAType(X11),vgetAType(X13)) ) )
      | ~ sP54(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).

tff(f598,definition,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X16: vATMap,X17: vOptAType,X18: vExp,X19: vOptAType,X20: vExp,X21: vBinOpT] :
          ( ( X17 = vecheck(X16,X18) )
          & ( X19 = vecheck(X16,X20) )
          & ( ~ visSomeAType(X17)
            | ~ visSomeAType(X19) )
          & ( X0 = X16 )
          & ( X1 = vbinop(X18,X21,X20) )
          & ( vecheck(X0,X1) = vnoAType ) )
      | ~ sP55(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).

tff(f599,definition,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X26: vUnOpT,X27: vExp,X28: vOptAType,X29: vATMap] :
          ( ( X28 = vecheck(X29,X27) )
          & ~ visSomeAType(X28)
          & ( X0 = X29 )
          & ( X1 = vunop(X26,X27) )
          & ( vecheck(X0,X1) = vnoAType ) )
      | ~ sP56(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).

tff(f600,definition,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X22: vUnOpT,X23: vExp,X24: vOptAType,X25: vATMap] :
          ( ( X24 = vecheck(X25,X23) )
          & visSomeAType(X24)
          & ( X0 = X25 )
          & ( X1 = vunop(X22,X23) )
          & ( vecheck(X0,X1) = vcheckUnOp(X22,vgetAType(X24)) ) )
      | ~ sP57(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).

tff(f601,definition,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X8: vQID,X9: vATMap] :
          ( ( X0 = X9 )
          & ( X1 = vqvar(X8) )
          & ( vecheck(X0,X1) = vlookupATMap(X8,X9) ) )
      | ~ sP58(X0,X1) ),
    introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).

tff(f602,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X2: vATMap,X3: vYN] :
          ( ( X0 = X2 )
          & ( X1 = vconstant(vB(X3)) )
          & ( vecheck(X0,X1) = vsomeAType(vYesNo) ) )
      | ? [X4: vnat,X5: vATMap] :
          ( ( X0 = X5 )
          & ( X1 = vconstant(vNum(X4)) )
          & ( vecheck(X0,X1) = vsomeAType(vNumber) ) )
      | ? [X6: vstring,X7: vATMap] :
          ( ( X0 = X7 )
          & ( X1 = vconstant(vT(X6)) )
          & ( vecheck(X0,X1) = vsomeAType(vText) ) )
      | sP58(X0,X1)
      | sP54(X0,X1)
      | sP55(X0,X1)
      | sP57(X0,X1)
      | sP56(X0,X1) ),
    inference(definition_folding,[],[f476,f601,f600,f599,f598,f597]) ).

tff(f610,plain,
    ! [X0: vOptAType] :
      ( ( X0 = vnoAType )
      | ( vsomeAType(sK92(X0)) = X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(X1,sK92(X0))],[f59]) ).

tff(f650,plain,
    ! [X0: vOptExp] :
      ( ( vsomeExp(sK193(X0)) = X0 )
      | ~ visSomeExp(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK193]),skolemize(X1,sK193(X0))],[f420]) ).

tff(f651,plain,
    ! [X0: vExp] :
      ( ~ vexpIsValue(X0)
      | ( vconstant(sK194(X0)) = X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK194]),skolemize(X1,sK194(X0))],[f422]) ).

tff(f701,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X4: vQID,X5: vOptAval,X6: vAnsMap] :
          ( ( X5 = vlookupAnsMap(X4,X6) )
          & visSomeAval(X5)
          & ( X0 = vqvar(X4) )
          & ( X1 = X6 )
          & ( vreduceExp(X0,X1) = vsomeExp(vconstant(vgetAval(X5))) ) )
      | ~ sP24(X0,X1) ),
    inference(nnf_transformation,[],[f561]) ).

tff(f702,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vQID,X3: vOptAval,X4: vAnsMap] :
          ( ( vlookupAnsMap(X2,X4) = X3 )
          & visSomeAval(X3)
          & ( vqvar(X2) = X0 )
          & ( X1 = X4 )
          & ( vreduceExp(X0,X1) = vsomeExp(vconstant(vgetAval(X3))) ) )
      | ~ sP24(X0,X1) ),
    inference(rectify,[],[f701]) ).

tff(f703,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( ( sK244(X0,X1) = vlookupAnsMap(sK243(X0,X1),sK245(X0,X1)) )
        & visSomeAval(sK244(X0,X1))
        & ( vqvar(sK243(X0,X1)) = X0 )
        & ( sK245(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vsomeExp(vconstant(vgetAval(sK244(X0,X1)))) ) )
      | ~ sP24(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK243,sK244,sK245]),skolemize(X2,sK243(X0,X1)),skolemize(X3,sK244(X0,X1)),skolemize(X4,sK245(X0,X1))],[f702]) ).

tff(f704,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X7: vQID,X8: vOptAval,X9: vAnsMap] :
          ( ( X8 = vlookupAnsMap(X7,X9) )
          & ~ visSomeAval(X8)
          & ( X0 = vqvar(X7) )
          & ( X1 = X9 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP23(X0,X1) ),
    inference(nnf_transformation,[],[f560]) ).

tff(f705,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vQID,X3: vOptAval,X4: vAnsMap] :
          ( ( vlookupAnsMap(X2,X4) = X3 )
          & ~ visSomeAval(X3)
          & ( vqvar(X2) = X0 )
          & ( X1 = X4 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP23(X0,X1) ),
    inference(rectify,[],[f704]) ).

tff(f706,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( ( sK247(X0,X1) = vlookupAnsMap(sK246(X0,X1),sK248(X0,X1)) )
        & ~ visSomeAval(sK247(X0,X1))
        & ( vqvar(sK246(X0,X1)) = X0 )
        & ( sK248(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP23(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK246,sK247,sK248]),skolemize(X2,sK246(X0,X1)),skolemize(X3,sK247(X0,X1)),skolemize(X4,sK248(X0,X1))],[f705]) ).

tff(f707,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X10: vExp,X11: vBinOpT,X12: vExp,X13: vAnsMap] :
          ( vexpIsValue(X10)
          & vexpIsValue(X12)
          & ( X0 = vbinop(X10,X11,X12) )
          & ( X1 = X13 )
          & ( vreduceExp(X0,X1) = vevalBinOp(X11,vgetExpValue(X10),vgetExpValue(X12)) ) )
      | ~ sP22(X0,X1) ),
    inference(nnf_transformation,[],[f559]) ).

tff(f708,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vExp,X3: vBinOpT,X4: vExp,X5: vAnsMap] :
          ( vexpIsValue(X2)
          & vexpIsValue(X4)
          & ( vbinop(X2,X3,X4) = X0 )
          & ( X1 = X5 )
          & ( vreduceExp(X0,X1) = vevalBinOp(X3,vgetExpValue(X2),vgetExpValue(X4)) ) )
      | ~ sP22(X0,X1) ),
    inference(rectify,[],[f707]) ).

tff(f709,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vexpIsValue(sK249(X0,X1))
        & vexpIsValue(sK251(X0,X1))
        & ( vbinop(sK249(X0,X1),sK250(X0,X1),sK251(X0,X1)) = X0 )
        & ( sK252(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vevalBinOp(sK250(X0,X1),vgetExpValue(sK249(X0,X1)),vgetExpValue(sK251(X0,X1))) ) )
      | ~ sP22(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK249,sK250,sK251,sK252]),skolemize(X2,sK249(X0,X1)),skolemize(X3,sK250(X0,X1)),skolemize(X4,sK251(X0,X1)),skolemize(X5,sK252(X0,X1))],[f708]) ).

tff(f710,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X24: vExp,X25: vOptExp,X26: vAnsMap,X27: vExp,X28: vBinOpT] :
          ( ~ vexpIsValue(X24)
          & ( X25 = vreduceExp(X24,X26) )
          & visSomeExp(X25)
          & ( X0 = vbinop(X24,X28,X27) )
          & ( X1 = X26 )
          & ( vreduceExp(X0,X1) = vsomeExp(vbinop(vgetExp(X25),X28,X27)) ) )
      | ~ sP21(X0,X1) ),
    inference(nnf_transformation,[],[f558]) ).

tff(f711,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vExp,X3: vOptExp,X4: vAnsMap,X5: vExp,X6: vBinOpT] :
          ( ~ vexpIsValue(X2)
          & ( vreduceExp(X2,X4) = X3 )
          & visSomeExp(X3)
          & ( vbinop(X2,X6,X5) = X0 )
          & ( X1 = X4 )
          & ( vreduceExp(X0,X1) = vsomeExp(vbinop(vgetExp(X3),X6,X5)) ) )
      | ~ sP21(X0,X1) ),
    inference(rectify,[],[f710]) ).

tff(f712,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( ~ vexpIsValue(sK253(X0,X1))
        & ( sK254(X0,X1) = vreduceExp(sK253(X0,X1),sK255(X0,X1)) )
        & visSomeExp(sK254(X0,X1))
        & ( vbinop(sK253(X0,X1),sK257(X0,X1),sK256(X0,X1)) = X0 )
        & ( sK255(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vsomeExp(vbinop(vgetExp(sK254(X0,X1)),sK257(X0,X1),sK256(X0,X1))) ) )
      | ~ sP21(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK253,sK254,sK255,sK256,sK257]),skolemize(X2,sK253(X0,X1)),skolemize(X3,sK254(X0,X1)),skolemize(X4,sK255(X0,X1)),skolemize(X5,sK256(X0,X1)),skolemize(X6,sK257(X0,X1))],[f711]) ).

tff(f713,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X29: vExp,X30: vOptExp,X31: vAnsMap,X32: vExp,X33: vBinOpT] :
          ( ~ vexpIsValue(X29)
          & ( X30 = vreduceExp(X29,X31) )
          & ~ visSomeExp(X30)
          & ( X0 = vbinop(X29,X33,X32) )
          & ( X1 = X31 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP20(X0,X1) ),
    inference(nnf_transformation,[],[f557]) ).

tff(f714,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vExp,X3: vOptExp,X4: vAnsMap,X5: vExp,X6: vBinOpT] :
          ( ~ vexpIsValue(X2)
          & ( vreduceExp(X2,X4) = X3 )
          & ~ visSomeExp(X3)
          & ( vbinop(X2,X6,X5) = X0 )
          & ( X1 = X4 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP20(X0,X1) ),
    inference(rectify,[],[f713]) ).

tff(f715,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( ~ vexpIsValue(sK258(X0,X1))
        & ( sK259(X0,X1) = vreduceExp(sK258(X0,X1),sK260(X0,X1)) )
        & ~ visSomeExp(sK259(X0,X1))
        & ( vbinop(sK258(X0,X1),sK262(X0,X1),sK261(X0,X1)) = X0 )
        & ( sK260(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP20(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK258,sK259,sK260,sK261,sK262]),skolemize(X2,sK258(X0,X1)),skolemize(X3,sK259(X0,X1)),skolemize(X4,sK260(X0,X1)),skolemize(X5,sK261(X0,X1)),skolemize(X6,sK262(X0,X1))],[f714]) ).

tff(f716,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X37: vUnOpT,X38: vExp,X39: vOptExp,X40: vAnsMap] :
          ( ~ vexpIsValue(X38)
          & ( X39 = vreduceExp(X38,X40) )
          & visSomeExp(X39)
          & ( X0 = vunop(X37,X38) )
          & ( X1 = X40 )
          & ( vreduceExp(X0,X1) = vsomeExp(vunop(X37,vgetExp(X39))) ) )
      | ~ sP19(X0,X1) ),
    inference(nnf_transformation,[],[f556]) ).

tff(f717,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vUnOpT,X3: vExp,X4: vOptExp,X5: vAnsMap] :
          ( ~ vexpIsValue(X3)
          & ( vreduceExp(X3,X5) = X4 )
          & visSomeExp(X4)
          & ( vunop(X2,X3) = X0 )
          & ( X1 = X5 )
          & ( vreduceExp(X0,X1) = vsomeExp(vunop(X2,vgetExp(X4))) ) )
      | ~ sP19(X0,X1) ),
    inference(rectify,[],[f716]) ).

tff(f718,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( ~ vexpIsValue(sK264(X0,X1))
        & ( sK265(X0,X1) = vreduceExp(sK264(X0,X1),sK266(X0,X1)) )
        & visSomeExp(sK265(X0,X1))
        & ( vunop(sK263(X0,X1),sK264(X0,X1)) = X0 )
        & ( sK266(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vsomeExp(vunop(sK263(X0,X1),vgetExp(sK265(X0,X1)))) ) )
      | ~ sP19(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK263,sK264,sK265,sK266]),skolemize(X2,sK263(X0,X1)),skolemize(X3,sK264(X0,X1)),skolemize(X4,sK265(X0,X1)),skolemize(X5,sK266(X0,X1))],[f717]) ).

tff(f719,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X41: vUnOpT,X42: vExp,X43: vOptExp,X44: vAnsMap] :
          ( ~ vexpIsValue(X42)
          & ( X43 = vreduceExp(X42,X44) )
          & ~ visSomeExp(X43)
          & ( X0 = vunop(X41,X42) )
          & ( X1 = X44 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP18(X0,X1) ),
    inference(nnf_transformation,[],[f555]) ).

tff(f720,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vUnOpT,X3: vExp,X4: vOptExp,X5: vAnsMap] :
          ( ~ vexpIsValue(X3)
          & ( vreduceExp(X3,X5) = X4 )
          & ~ visSomeExp(X4)
          & ( vunop(X2,X3) = X0 )
          & ( X1 = X5 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP18(X0,X1) ),
    inference(rectify,[],[f719]) ).

tff(f721,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( ~ vexpIsValue(sK268(X0,X1))
        & ( sK269(X0,X1) = vreduceExp(sK268(X0,X1),sK270(X0,X1)) )
        & ~ visSomeExp(sK269(X0,X1))
        & ( vunop(sK267(X0,X1),sK268(X0,X1)) = X0 )
        & ( sK270(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP18(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK267,sK268,sK269,sK270]),skolemize(X2,sK267(X0,X1)),skolemize(X3,sK268(X0,X1)),skolemize(X4,sK269(X0,X1)),skolemize(X5,sK270(X0,X1))],[f720]) ).

tff(f722,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X14: vExp,X15: vOptExp,X16: vAnsMap,X17: vExp,X18: vBinOpT] :
          ( vexpIsValue(X14)
          & ~ vexpIsValue(X17)
          & ( X15 = vreduceExp(X17,X16) )
          & visSomeExp(X15)
          & ( X0 = vbinop(X14,X18,X17) )
          & ( X1 = X16 )
          & ( vreduceExp(X0,X1) = vsomeExp(vbinop(X14,X18,vgetExp(X15))) ) )
      | ~ sP17(X0,X1) ),
    inference(nnf_transformation,[],[f554]) ).

tff(f723,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vExp,X3: vOptExp,X4: vAnsMap,X5: vExp,X6: vBinOpT] :
          ( vexpIsValue(X2)
          & ~ vexpIsValue(X5)
          & ( vreduceExp(X5,X4) = X3 )
          & visSomeExp(X3)
          & ( vbinop(X2,X6,X5) = X0 )
          & ( X1 = X4 )
          & ( vreduceExp(X0,X1) = vsomeExp(vbinop(X2,X6,vgetExp(X3))) ) )
      | ~ sP17(X0,X1) ),
    inference(rectify,[],[f722]) ).

tff(f724,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vexpIsValue(sK271(X0,X1))
        & ~ vexpIsValue(sK274(X0,X1))
        & ( sK272(X0,X1) = vreduceExp(sK274(X0,X1),sK273(X0,X1)) )
        & visSomeExp(sK272(X0,X1))
        & ( vbinop(sK271(X0,X1),sK275(X0,X1),sK274(X0,X1)) = X0 )
        & ( sK273(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vsomeExp(vbinop(sK271(X0,X1),sK275(X0,X1),vgetExp(sK272(X0,X1)))) ) )
      | ~ sP17(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK271,sK272,sK273,sK274,sK275]),skolemize(X2,sK271(X0,X1)),skolemize(X3,sK272(X0,X1)),skolemize(X4,sK273(X0,X1)),skolemize(X5,sK274(X0,X1)),skolemize(X6,sK275(X0,X1))],[f723]) ).

tff(f725,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X19: vExp,X20: vOptExp,X21: vAnsMap,X22: vExp,X23: vBinOpT] :
          ( vexpIsValue(X19)
          & ~ vexpIsValue(X22)
          & ( X20 = vreduceExp(X22,X21) )
          & ~ visSomeExp(X20)
          & ( X0 = vbinop(X19,X23,X22) )
          & ( X1 = X21 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP16(X0,X1) ),
    inference(nnf_transformation,[],[f553]) ).

tff(f726,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vExp,X3: vOptExp,X4: vAnsMap,X5: vExp,X6: vBinOpT] :
          ( vexpIsValue(X2)
          & ~ vexpIsValue(X5)
          & ( vreduceExp(X5,X4) = X3 )
          & ~ visSomeExp(X3)
          & ( vbinop(X2,X6,X5) = X0 )
          & ( X1 = X4 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP16(X0,X1) ),
    inference(rectify,[],[f725]) ).

tff(f727,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vexpIsValue(sK276(X0,X1))
        & ~ vexpIsValue(sK279(X0,X1))
        & ( sK277(X0,X1) = vreduceExp(sK279(X0,X1),sK278(X0,X1)) )
        & ~ visSomeExp(sK277(X0,X1))
        & ( vbinop(sK276(X0,X1),sK280(X0,X1),sK279(X0,X1)) = X0 )
        & ( sK278(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vnoExp ) )
      | ~ sP16(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK276,sK277,sK278,sK279,sK280]),skolemize(X2,sK276(X0,X1)),skolemize(X3,sK277(X0,X1)),skolemize(X4,sK278(X0,X1)),skolemize(X5,sK279(X0,X1)),skolemize(X6,sK280(X0,X1))],[f726]) ).

tff(f728,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ? [X2: vAval,X3: vAnsMap] :
          ( ( X0 = vconstant(X2) )
          & ( X1 = X3 )
          & ( vreduceExp(X0,X1) = vnoExp ) )
      | sP24(X0,X1)
      | sP23(X0,X1)
      | sP22(X0,X1)
      | sP17(X0,X1)
      | sP16(X0,X1)
      | sP21(X0,X1)
      | sP20(X0,X1)
      | ? [X4: vUnOpT,X5: vExp,X6: vAnsMap] :
          ( vexpIsValue(X5)
          & ( vunop(X4,X5) = X0 )
          & ( X1 = X6 )
          & ( vreduceExp(X0,X1) = vevalUnOp(X4,vgetExpValue(X5)) ) )
      | sP19(X0,X1)
      | sP18(X0,X1) ),
    inference(rectify,[],[f562]) ).

tff(f729,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( ( vconstant(sK281(X0,X1)) = X0 )
        & ( sK282(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vnoExp ) )
      | sP24(X0,X1)
      | sP23(X0,X1)
      | sP22(X0,X1)
      | sP17(X0,X1)
      | sP16(X0,X1)
      | sP21(X0,X1)
      | sP20(X0,X1)
      | ( vexpIsValue(sK284(X0,X1))
        & ( vunop(sK283(X0,X1),sK284(X0,X1)) = X0 )
        & ( sK285(X0,X1) = X1 )
        & ( vreduceExp(X0,X1) = vevalUnOp(sK283(X0,X1),vgetExpValue(sK284(X0,X1))) ) )
      | sP19(X0,X1)
      | sP18(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK281,sK282,sK283,sK284,sK285]),skolemize(X2,sK281(X0,X1)),skolemize(X3,sK282(X0,X1)),skolemize(X4,sK283(X0,X1)),skolemize(X5,sK284(X0,X1)),skolemize(X6,sK285(X0,X1))],[f728]) ).

tff(f808,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X8: vQID,X9: vATMap] :
          ( ( X0 = X9 )
          & ( X1 = vqvar(X8) )
          & ( vecheck(X0,X1) = vlookupATMap(X8,X9) ) )
      | ~ sP58(X0,X1) ),
    inference(nnf_transformation,[],[f601]) ).

tff(f809,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X2: vQID,X3: vATMap] :
          ( ( X0 = X3 )
          & ( vqvar(X2) = X1 )
          & ( vecheck(X0,X1) = vlookupATMap(X2,X3) ) )
      | ~ sP58(X0,X1) ),
    inference(rectify,[],[f808]) ).

tff(f810,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( ( sK414(X0,X1) = X0 )
        & ( vqvar(sK413(X0,X1)) = X1 )
        & ( vecheck(X0,X1) = vlookupATMap(sK413(X0,X1),sK414(X0,X1)) ) )
      | ~ sP58(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK413,sK414]),skolemize(X2,sK413(X0,X1)),skolemize(X3,sK414(X0,X1))],[f809]) ).

tff(f811,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X22: vUnOpT,X23: vExp,X24: vOptAType,X25: vATMap] :
          ( ( X24 = vecheck(X25,X23) )
          & visSomeAType(X24)
          & ( X0 = X25 )
          & ( X1 = vunop(X22,X23) )
          & ( vecheck(X0,X1) = vcheckUnOp(X22,vgetAType(X24)) ) )
      | ~ sP57(X0,X1) ),
    inference(nnf_transformation,[],[f600]) ).

tff(f812,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X2: vUnOpT,X3: vExp,X4: vOptAType,X5: vATMap] :
          ( ( vecheck(X5,X3) = X4 )
          & visSomeAType(X4)
          & ( X0 = X5 )
          & ( vunop(X2,X3) = X1 )
          & ( vecheck(X0,X1) = vcheckUnOp(X2,vgetAType(X4)) ) )
      | ~ sP57(X0,X1) ),
    inference(rectify,[],[f811]) ).

tff(f813,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( ( sK417(X0,X1) = vecheck(sK418(X0,X1),sK416(X0,X1)) )
        & visSomeAType(sK417(X0,X1))
        & ( sK418(X0,X1) = X0 )
        & ( vunop(sK415(X0,X1),sK416(X0,X1)) = X1 )
        & ( vecheck(X0,X1) = vcheckUnOp(sK415(X0,X1),vgetAType(sK417(X0,X1))) ) )
      | ~ sP57(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK415,sK416,sK417,sK418]),skolemize(X2,sK415(X0,X1)),skolemize(X3,sK416(X0,X1)),skolemize(X4,sK417(X0,X1)),skolemize(X5,sK418(X0,X1))],[f812]) ).

tff(f814,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X26: vUnOpT,X27: vExp,X28: vOptAType,X29: vATMap] :
          ( ( X28 = vecheck(X29,X27) )
          & ~ visSomeAType(X28)
          & ( X0 = X29 )
          & ( X1 = vunop(X26,X27) )
          & ( vecheck(X0,X1) = vnoAType ) )
      | ~ sP56(X0,X1) ),
    inference(nnf_transformation,[],[f599]) ).

tff(f815,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X2: vUnOpT,X3: vExp,X4: vOptAType,X5: vATMap] :
          ( ( vecheck(X5,X3) = X4 )
          & ~ visSomeAType(X4)
          & ( X0 = X5 )
          & ( vunop(X2,X3) = X1 )
          & ( vecheck(X0,X1) = vnoAType ) )
      | ~ sP56(X0,X1) ),
    inference(rectify,[],[f814]) ).

tff(f816,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( ( sK421(X0,X1) = vecheck(sK422(X0,X1),sK420(X0,X1)) )
        & ~ visSomeAType(sK421(X0,X1))
        & ( sK422(X0,X1) = X0 )
        & ( vunop(sK419(X0,X1),sK420(X0,X1)) = X1 )
        & ( vecheck(X0,X1) = vnoAType ) )
      | ~ sP56(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK419,sK420,sK421,sK422]),skolemize(X2,sK419(X0,X1)),skolemize(X3,sK420(X0,X1)),skolemize(X4,sK421(X0,X1)),skolemize(X5,sK422(X0,X1))],[f815]) ).

tff(f817,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X16: vATMap,X17: vOptAType,X18: vExp,X19: vOptAType,X20: vExp,X21: vBinOpT] :
          ( ( X17 = vecheck(X16,X18) )
          & ( X19 = vecheck(X16,X20) )
          & ( ~ visSomeAType(X17)
            | ~ visSomeAType(X19) )
          & ( X0 = X16 )
          & ( X1 = vbinop(X18,X21,X20) )
          & ( vecheck(X0,X1) = vnoAType ) )
      | ~ sP55(X0,X1) ),
    inference(nnf_transformation,[],[f598]) ).

tff(f818,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X2: vATMap,X3: vOptAType,X4: vExp,X5: vOptAType,X6: vExp,X7: vBinOpT] :
          ( ( vecheck(X2,X4) = X3 )
          & ( vecheck(X2,X6) = X5 )
          & ( ~ visSomeAType(X3)
            | ~ visSomeAType(X5) )
          & ( X0 = X2 )
          & ( vbinop(X4,X7,X6) = X1 )
          & ( vecheck(X0,X1) = vnoAType ) )
      | ~ sP55(X0,X1) ),
    inference(rectify,[],[f817]) ).

tff(f819,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( ( sK424(X0,X1) = vecheck(sK423(X0,X1),sK425(X0,X1)) )
        & ( sK426(X0,X1) = vecheck(sK423(X0,X1),sK427(X0,X1)) )
        & ( ~ visSomeAType(sK424(X0,X1))
          | ~ visSomeAType(sK426(X0,X1)) )
        & ( sK423(X0,X1) = X0 )
        & ( vbinop(sK425(X0,X1),sK428(X0,X1),sK427(X0,X1)) = X1 )
        & ( vecheck(X0,X1) = vnoAType ) )
      | ~ sP55(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK423,sK424,sK425,sK426,sK427,sK428]),skolemize(X2,sK423(X0,X1)),skolemize(X3,sK424(X0,X1)),skolemize(X4,sK425(X0,X1)),skolemize(X5,sK426(X0,X1)),skolemize(X6,sK427(X0,X1)),skolemize(X7,sK428(X0,X1))],[f818]) ).

tff(f820,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X10: vATMap,X11: vOptAType,X12: vExp,X13: vOptAType,X14: vExp,X15: vBinOpT] :
          ( ( X11 = vecheck(X10,X12) )
          & ( X13 = vecheck(X10,X14) )
          & visSomeAType(X11)
          & visSomeAType(X13)
          & ( X0 = X10 )
          & ( X1 = vbinop(X12,X15,X14) )
          & ( vecheck(X0,X1) = vcheckBinOp(X15,vgetAType(X11),vgetAType(X13)) ) )
      | ~ sP54(X0,X1) ),
    inference(nnf_transformation,[],[f597]) ).

tff(f821,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ? [X2: vATMap,X3: vOptAType,X4: vExp,X5: vOptAType,X6: vExp,X7: vBinOpT] :
          ( ( vecheck(X2,X4) = X3 )
          & ( vecheck(X2,X6) = X5 )
          & visSomeAType(X3)
          & visSomeAType(X5)
          & ( X0 = X2 )
          & ( vbinop(X4,X7,X6) = X1 )
          & ( vecheck(X0,X1) = vcheckBinOp(X7,vgetAType(X3),vgetAType(X5)) ) )
      | ~ sP54(X0,X1) ),
    inference(rectify,[],[f820]) ).

tff(f822,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( ( sK430(X0,X1) = vecheck(sK429(X0,X1),sK431(X0,X1)) )
        & ( sK432(X0,X1) = vecheck(sK429(X0,X1),sK433(X0,X1)) )
        & visSomeAType(sK430(X0,X1))
        & visSomeAType(sK432(X0,X1))
        & ( sK429(X0,X1) = X0 )
        & ( vbinop(sK431(X0,X1),sK434(X0,X1),sK433(X0,X1)) = X1 )
        & ( vecheck(X0,X1) = vcheckBinOp(sK434(X0,X1),vgetAType(sK430(X0,X1)),vgetAType(sK432(X0,X1))) ) )
      | ~ sP54(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK429,sK430,sK431,sK432,sK433,sK434]),skolemize(X2,sK429(X0,X1)),skolemize(X3,sK430(X0,X1)),skolemize(X4,sK431(X0,X1)),skolemize(X5,sK432(X0,X1)),skolemize(X6,sK433(X0,X1)),skolemize(X7,sK434(X0,X1))],[f821]) ).

tff(f823,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( ( sK435(X0,X1) = X0 )
        & ( vconstant(vB(sK436(X0,X1))) = X1 )
        & ( vecheck(X0,X1) = vsomeAType(vYesNo) ) )
      | ( ( sK438(X0,X1) = X0 )
        & ( vconstant(vNum(sK437(X0,X1))) = X1 )
        & ( vecheck(X0,X1) = vsomeAType(vNumber) ) )
      | ( ( sK440(X0,X1) = X0 )
        & ( vconstant(vT(sK439(X0,X1))) = X1 )
        & ( vecheck(X0,X1) = vsomeAType(vText) ) )
      | sP58(X0,X1)
      | sP54(X0,X1)
      | sP55(X0,X1)
      | sP57(X0,X1)
      | sP56(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK435,sK436,sK437,sK438,sK439,sK440]),skolemize(X2,sK435(X0,X1)),skolemize(X3,sK436(X0,X1)),skolemize(X4,sK437(X0,X1)),skolemize(X5,sK438(X0,X1)),skolemize(X6,sK439(X0,X1)),skolemize(X7,sK440(X0,X1))],[f602]) ).

tff(f831,plain,
    ! [X0: vBinOpT,X1: vAval,X2: vATMap,X3: vAval,X4: vAType] :
      ( ( vevalBinOp(X0,X1,X3) = vsomeExp(sK452(X0,X1,X3)) )
      | ( vsomeAType(X4) != vecheck(X2,vbinop(vconstant(X1),X0,vconstant(X3))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK452]),skolemize(X5,sK452(X0,X1,X3))],[f528]) ).

tff(f832,plain,
    ( ! [X3: vExp] : ( vsomeExp(X3) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
    & vexpIsValue(ve2)
    & vexpIsValue(ve1)
    & ~ vexpIsValue(vbinop(ve1,sK453,ve2))
    & ( vsomeAType(sK455) = vecheck(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK453,sK454,sK455]),skolemize(X0,sK453),skolemize(X1,sK454),skolemize(X2,sK455)],[f532]) ).

tff(f870,plain,
    ! [X2: vExp,X3: vExp,X0: vExp,X1: vExp,X4: vBinOpT,X5: vBinOpT] :
      ( ( X0 = X1 )
      | ( vbinop(X3,X4,X0) != vbinop(X2,X5,X1) ) ),
    inference(cnf_transformation,[],[f379]) ).

tff(f871,plain,
    ! [X2: vExp,X3: vExp,X0: vExp,X1: vExp,X4: vBinOpT,X5: vBinOpT] :
      ( ( X4 = X5 )
      | ( vbinop(X3,X4,X0) != vbinop(X2,X5,X1) ) ),
    inference(cnf_transformation,[],[f379]) ).

tff(f872,plain,
    ! [X2: vExp,X3: vExp,X0: vExp,X1: vExp,X4: vBinOpT,X5: vBinOpT] :
      ( ( X2 = X3 )
      | ( vbinop(X3,X4,X0) != vbinop(X2,X5,X1) ) ),
    inference(cnf_transformation,[],[f379]) ).

tff(f876,plain,
    ! [X2: vBinOpT,X3: vExp,X0: vAval,X1: vExp] : ( vconstant(X0) != vbinop(X1,X2,X3) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f878,plain,
    ! [X2: vBinOpT,X3: vExp,X0: vQID,X1: vExp] : ( vqvar(X0) != vbinop(X1,X2,X3) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f880,plain,
    ! [X2: vExp,X3: vExp,X0: vExp,X1: vUnOpT,X4: vBinOpT] : ( vbinop(X3,X4,X0) != vunop(X1,X2) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f908,plain,
    ! [X0: vOptAType] :
      ( ( vnoAType = X0 )
      | ( vsomeAType(sK92(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f610]) ).

tff(f910,plain,
    ! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f1003,plain,
    ! [X0: vAval] : ( vgetExpValue(vconstant(X0)) = X0 ),
    inference(cnf_transformation,[],[f144]) ).

tff(f1265,plain,
    ! [X0: vOptExp] :
      ( ( vsomeExp(sK193(X0)) = X0 )
      | ~ visSomeExp(X0) ),
    inference(cnf_transformation,[],[f650]) ).

tff(f1266,plain,
    ! [X0: vOptExp] :
      ( ( vnoExp = X0 )
      | visSomeExp(X0) ),
    inference(cnf_transformation,[],[f421]) ).

tff(f1268,plain,
    ! [X0: vExp] :
      ( ~ vexpIsValue(X0)
      | ( vconstant(sK194(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f651]) ).

tff(f1443,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vreduceExp(X0,X1) = vsomeExp(vconstant(vgetAval(sK244(X0,X1)))) )
      | ~ sP24(X0,X1) ),
    inference(cnf_transformation,[],[f703]) ).

tff(f1450,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vqvar(sK246(X0,X1)) = X0 )
      | ~ sP23(X0,X1) ),
    inference(cnf_transformation,[],[f706]) ).

tff(f1453,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vreduceExp(X0,X1) = vevalBinOp(sK250(X0,X1),vgetExpValue(sK249(X0,X1)),vgetExpValue(sK251(X0,X1))) )
      | ~ sP22(X0,X1) ),
    inference(cnf_transformation,[],[f709]) ).

tff(f1455,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vbinop(sK249(X0,X1),sK250(X0,X1),sK251(X0,X1)) = X0 )
      | ~ sP22(X0,X1) ),
    inference(cnf_transformation,[],[f709]) ).

tff(f1458,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vreduceExp(X0,X1) = vsomeExp(vbinop(vgetExp(sK254(X0,X1)),sK257(X0,X1),sK256(X0,X1))) )
      | ~ sP21(X0,X1) ),
    inference(cnf_transformation,[],[f712]) ).

tff(f1466,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vbinop(sK258(X0,X1),sK262(X0,X1),sK261(X0,X1)) = X0 )
      | ~ sP20(X0,X1) ),
    inference(cnf_transformation,[],[f715]) ).

tff(f1469,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ~ vexpIsValue(sK258(X0,X1))
      | ~ sP20(X0,X1) ),
    inference(cnf_transformation,[],[f715]) ).

tff(f1470,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vreduceExp(X0,X1) = vsomeExp(vunop(sK263(X0,X1),vgetExp(sK265(X0,X1)))) )
      | ~ sP19(X0,X1) ),
    inference(cnf_transformation,[],[f718]) ).

tff(f1478,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vunop(sK267(X0,X1),sK268(X0,X1)) = X0 )
      | ~ sP18(X0,X1) ),
    inference(cnf_transformation,[],[f721]) ).

tff(f1482,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vreduceExp(X0,X1) = vsomeExp(vbinop(sK271(X0,X1),sK275(X0,X1),vgetExp(sK272(X0,X1)))) )
      | ~ sP17(X0,X1) ),
    inference(cnf_transformation,[],[f724]) ).

tff(f1491,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vbinop(sK276(X0,X1),sK280(X0,X1),sK279(X0,X1)) = X0 )
      | ~ sP16(X0,X1) ),
    inference(cnf_transformation,[],[f727]) ).

tff(f1494,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ~ vexpIsValue(sK279(X0,X1))
      | ~ sP16(X0,X1) ),
    inference(cnf_transformation,[],[f727]) ).

tff(f1506,plain,
    ! [X0: vExp,X1: vAnsMap] :
      ( ( vconstant(sK281(X0,X1)) = X0 )
      | sP24(X0,X1)
      | sP23(X0,X1)
      | sP22(X0,X1)
      | sP17(X0,X1)
      | sP16(X0,X1)
      | sP21(X0,X1)
      | sP20(X0,X1)
      | ( vunop(sK283(X0,X1),sK284(X0,X1)) = X0 )
      | sP19(X0,X1)
      | sP18(X0,X1) ),
    inference(cnf_transformation,[],[f729]) ).

tff(f1848,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( vqvar(sK413(X0,X1)) = X1 )
      | ~ sP58(X0,X1) ),
    inference(cnf_transformation,[],[f810]) ).

tff(f1851,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( vunop(sK415(X0,X1),sK416(X0,X1)) = X1 )
      | ~ sP57(X0,X1) ),
    inference(cnf_transformation,[],[f813]) ).

tff(f1855,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( vnoAType = vecheck(X0,X1) )
      | ~ sP56(X0,X1) ),
    inference(cnf_transformation,[],[f816]) ).

tff(f1860,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( vnoAType = vecheck(X0,X1) )
      | ~ sP55(X0,X1) ),
    inference(cnf_transformation,[],[f819]) ).

tff(f1867,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( vbinop(sK431(X0,X1),sK434(X0,X1),sK433(X0,X1)) = X1 )
      | ~ sP54(X0,X1) ),
    inference(cnf_transformation,[],[f822]) ).

tff(f1886,plain,
    ! [X0: vATMap,X1: vExp] :
      ( ( vconstant(vB(sK436(X0,X1))) = X1 )
      | ( vconstant(vNum(sK437(X0,X1))) = X1 )
      | ( vconstant(vT(sK439(X0,X1))) = X1 )
      | sP58(X0,X1)
      | sP54(X0,X1)
      | sP55(X0,X1)
      | sP57(X0,X1)
      | sP56(X0,X1) ),
    inference(cnf_transformation,[],[f823]) ).

tff(f1938,plain,
    ! [X2: vATMap,X3: vAval,X0: vBinOpT,X1: vAval,X4: vAType] :
      ( ( vevalBinOp(X0,X1,X3) = vsomeExp(sK452(X0,X1,X3)) )
      | ( vsomeAType(X4) != vecheck(X2,vbinop(vconstant(X1),X0,vconstant(X3))) ) ),
    inference(cnf_transformation,[],[f831]) ).

tff(f1940,plain,
    vsomeAType(sK455) = vecheck(vtypeAM(sK454),vbinop(ve1,sK453,ve2)),
    inference(cnf_transformation,[],[f832]) ).

tff(f1942,plain,
    vexpIsValue(ve1),
    inference(cnf_transformation,[],[f832]) ).

tff(f1943,plain,
    vexpIsValue(ve2),
    inference(cnf_transformation,[],[f832]) ).

tff(f1944,plain,
    ! [X3: vExp] : ( vsomeExp(X3) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) ),
    inference(cnf_transformation,[],[f832]) ).

tff(f2082,definition,
    ( spl485_2
  <=> vexpIsValue(ve1) ),
    introduced(definition,[new_symbols(definition,[spl485_2])],[avatar_definition]) ).

tff(f2084,plain,
    ( vexpIsValue(ve1)
    | ~ spl485_2 ),
    inference(avatar_component_clause,[],[f2082]) ).

tff(f2085,plain,
    spl485_2,
    inference(avatar_split_clause,[],[f1942,f2082]) ).

tff(f2087,definition,
    ( spl485_3
  <=> vexpIsValue(ve2) ),
    introduced(definition,[new_symbols(definition,[spl485_3])],[avatar_definition]) ).

tff(f2089,plain,
    ( vexpIsValue(ve2)
    | ~ spl485_3 ),
    inference(avatar_component_clause,[],[f2087]) ).

tff(f2090,plain,
    spl485_3,
    inference(avatar_split_clause,[],[f1943,f2087]) ).

tff(f2092,definition,
    ( spl485_4
  <=> ! [X3: vExp] : ( vsomeExp(X3) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) ) ),
    introduced(definition,[new_symbols(definition,[spl485_4])],[avatar_definition]) ).

tff(f2093,plain,
    ( ! [X3: vExp] : ( vsomeExp(X3) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_4 ),
    inference(avatar_component_clause,[],[f2092]) ).

tff(f2094,plain,
    spl485_4,
    inference(avatar_split_clause,[],[f1944,f2092]) ).

tff(f2105,plain,
    ( ! [X0: vExp,X1: vAnsMap] :
        ( ( vreduceExp(X0,X1) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ~ sP24(X0,X1) )
    | ~ spl485_4 ),
    inference(superposition,[],[f2093,f1443]) ).

tff(f2107,plain,
    ( ! [X0: vExp,X1: vAnsMap] :
        ( ( vreduceExp(X0,X1) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ~ sP19(X0,X1) )
    | ~ spl485_4 ),
    inference(superposition,[],[f2093,f1470]) ).

tff(f2113,plain,
    ( ! [X0: vOptExp] :
        ( ( vreduceExp(vbinop(ve1,sK453,ve2),sK454) != X0 )
        | ~ visSomeExp(X0) )
    | ~ spl485_4 ),
    inference(superposition,[],[f2093,f1265]) ).

tff(f2116,plain,
    ( ! [X2: vAval,X3: vAType,X0: vBinOpT,X1: vAval,X4: vATMap] :
        ( ( vevalBinOp(X0,X1,X2) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ( vsomeAType(X3) != vecheck(X4,vbinop(vconstant(X1),X0,vconstant(X2))) ) )
    | ~ spl485_4 ),
    inference(superposition,[],[f2093,f1938]) ).

tff(f2128,definition,
    ( spl485_5
  <=> ( vsomeAType(sK455) = vecheck(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_5])],[avatar_definition]) ).

tff(f2130,plain,
    ( ( vsomeAType(sK455) = vecheck(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) )
    | ~ spl485_5 ),
    inference(avatar_component_clause,[],[f2128]) ).

tff(f2131,plain,
    spl485_5,
    inference(avatar_split_clause,[],[f1940,f2128]) ).

tff(f2132,plain,
    ( ( ve1 = vconstant(sK194(ve1)) )
    | ~ spl485_2 ),
    inference(resolution,[],[f2084,f1268]) ).

tff(f2187,plain,
    ( ( vnoAType = vsomeAType(sK455) )
    | ~ sP56(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_5 ),
    inference(superposition,[],[f1855,f2130]) ).

tff(f2188,plain,
    ( ( vnoAType = vsomeAType(sK455) )
    | ~ sP55(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_5 ),
    inference(superposition,[],[f1860,f2130]) ).

tff(f2236,plain,
    ( ~ sP55(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_5 ),
    inference(forward_subsumption_resolution,[],[f2188,f910]) ).

tff(f2237,plain,
    ( ~ sP56(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_5 ),
    inference(forward_subsumption_resolution,[],[f2187,f910]) ).

tff(f2379,plain,
    ( ( ve2 = vconstant(sK194(ve2)) )
    | ~ spl485_3 ),
    inference(resolution,[],[f2089,f1268]) ).

tff(f2471,definition,
    ( spl485_9
  <=> ( ve2 = vconstant(sK194(ve2)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_9])],[avatar_definition]) ).

tff(f2473,plain,
    ( ( ve2 = vconstant(sK194(ve2)) )
    | ~ spl485_9 ),
    inference(avatar_component_clause,[],[f2471]) ).

tff(f2474,plain,
    ( spl485_9
    | ~ spl485_3 ),
    inference(avatar_split_clause,[],[f2379,f2087,f2471]) ).

tff(f2478,plain,
    ( ( vgetExpValue(ve2) = sK194(ve2) )
    | ~ spl485_9 ),
    inference(superposition,[],[f1003,f2473]) ).

tff(f2489,definition,
    ( spl485_10
  <=> ( ve1 = vconstant(sK194(ve1)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_10])],[avatar_definition]) ).

tff(f2491,plain,
    ( ( ve1 = vconstant(sK194(ve1)) )
    | ~ spl485_10 ),
    inference(avatar_component_clause,[],[f2489]) ).

tff(f2492,plain,
    ( spl485_10
    | ~ spl485_2 ),
    inference(avatar_split_clause,[],[f2132,f2082,f2489]) ).

tff(f2496,plain,
    ( ( vgetExpValue(ve1) = sK194(ve1) )
    | ~ spl485_10 ),
    inference(superposition,[],[f1003,f2491]) ).

tff(f2563,definition,
    ( spl485_18
  <=> ! [X0: vExp,X1: vAnsMap] :
        ( ( vreduceExp(X0,X1) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ~ sP24(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl485_18])],[avatar_definition]) ).

tff(f2564,plain,
    ( ! [X0: vExp,X1: vAnsMap] :
        ( ( vreduceExp(X0,X1) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ~ sP24(X0,X1) )
    | ~ spl485_18 ),
    inference(avatar_component_clause,[],[f2563]) ).

tff(f2565,plain,
    ( spl485_18
    | ~ spl485_4 ),
    inference(avatar_split_clause,[],[f2105,f2092,f2563]) ).

tff(f2567,definition,
    ( spl485_19
  <=> ! [X0: vExp,X1: vAnsMap] :
        ( ( vreduceExp(X0,X1) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ~ sP19(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl485_19])],[avatar_definition]) ).

tff(f2568,plain,
    ( ! [X0: vExp,X1: vAnsMap] :
        ( ( vreduceExp(X0,X1) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ~ sP19(X0,X1) )
    | ~ spl485_19 ),
    inference(avatar_component_clause,[],[f2567]) ).

tff(f2569,plain,
    ( spl485_19
    | ~ spl485_4 ),
    inference(avatar_split_clause,[],[f2107,f2092,f2567]) ).

tff(f2605,plain,
    ( ~ sP19(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_19 ),
    inference(equality_resolution,[],[f2568]) ).

tff(f2632,definition,
    ( spl485_20
  <=> sP19(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_20])],[avatar_definition]) ).

tff(f2634,plain,
    ( ~ sP19(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20 ),
    inference(avatar_component_clause,[],[f2632]) ).

tff(f2635,plain,
    ( ~ spl485_20
    | ~ spl485_19 ),
    inference(avatar_split_clause,[],[f2605,f2567,f2632]) ).

tff(f2675,plain,
    ( ~ sP24(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_18 ),
    inference(equality_resolution,[],[f2564]) ).

tff(f2707,definition,
    ( spl485_22
  <=> sP24(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_22])],[avatar_definition]) ).

tff(f2709,plain,
    ( ~ sP24(vbinop(ve1,sK453,ve2),sK454)
    | spl485_22 ),
    inference(avatar_component_clause,[],[f2707]) ).

tff(f2710,plain,
    ( ~ spl485_22
    | ~ spl485_18 ),
    inference(avatar_split_clause,[],[f2675,f2563,f2707]) ).

tff(f2721,plain,
    ( ( vbinop(ve1,sK453,ve2) = vconstant(sK281(vbinop(ve1,sK453,ve2),sK454)) )
    | sP24(vbinop(ve1,sK453,ve2),sK454)
    | sP23(vbinop(ve1,sK453,ve2),sK454)
    | sP22(vbinop(ve1,sK453,ve2),sK454)
    | sP17(vbinop(ve1,sK453,ve2),sK454)
    | sP16(vbinop(ve1,sK453,ve2),sK454)
    | sP21(vbinop(ve1,sK453,ve2),sK454)
    | sP20(vbinop(ve1,sK453,ve2),sK454)
    | ( vbinop(ve1,sK453,ve2) = vunop(sK283(vbinop(ve1,sK453,ve2),sK454),sK284(vbinop(ve1,sK453,ve2),sK454)) )
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20 ),
    inference(resolution,[],[f2634,f1506]) ).

tff(f2724,plain,
    ( sP24(vbinop(ve1,sK453,ve2),sK454)
    | sP23(vbinop(ve1,sK453,ve2),sK454)
    | sP22(vbinop(ve1,sK453,ve2),sK454)
    | sP17(vbinop(ve1,sK453,ve2),sK454)
    | sP16(vbinop(ve1,sK453,ve2),sK454)
    | sP21(vbinop(ve1,sK453,ve2),sK454)
    | sP20(vbinop(ve1,sK453,ve2),sK454)
    | ( vbinop(ve1,sK453,ve2) = vunop(sK283(vbinop(ve1,sK453,ve2),sK454),sK284(vbinop(ve1,sK453,ve2),sK454)) )
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20 ),
    inference(forward_subsumption_resolution,[],[f2721,f876]) ).

tff(f2736,plain,
    ( sP23(vbinop(ve1,sK453,ve2),sK454)
    | sP22(vbinop(ve1,sK453,ve2),sK454)
    | sP17(vbinop(ve1,sK453,ve2),sK454)
    | sP16(vbinop(ve1,sK453,ve2),sK454)
    | sP21(vbinop(ve1,sK453,ve2),sK454)
    | sP20(vbinop(ve1,sK453,ve2),sK454)
    | ( vbinop(ve1,sK453,ve2) = vunop(sK283(vbinop(ve1,sK453,ve2),sK454),sK284(vbinop(ve1,sK453,ve2),sK454)) )
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20
    | spl485_22 ),
    inference(forward_subsumption_resolution,[],[f2724,f2709]) ).

tff(f2745,plain,
    ( sP23(vbinop(ve1,sK453,ve2),sK454)
    | sP22(vbinop(ve1,sK453,ve2),sK454)
    | sP17(vbinop(ve1,sK453,ve2),sK454)
    | sP16(vbinop(ve1,sK453,ve2),sK454)
    | sP21(vbinop(ve1,sK453,ve2),sK454)
    | sP20(vbinop(ve1,sK453,ve2),sK454)
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20
    | spl485_22 ),
    inference(forward_subsumption_resolution,[],[f2736,f880]) ).

tff(f5299,definition,
    ( spl485_25
  <=> ! [X0: vOptExp] :
        ( ( vreduceExp(vbinop(ve1,sK453,ve2),sK454) != X0 )
        | ~ visSomeExp(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl485_25])],[avatar_definition]) ).

tff(f5300,plain,
    ( ! [X0: vOptExp] :
        ( ( vreduceExp(vbinop(ve1,sK453,ve2),sK454) != X0 )
        | ~ visSomeExp(X0) )
    | ~ spl485_25 ),
    inference(avatar_component_clause,[],[f5299]) ).

tff(f5301,plain,
    ( spl485_25
    | ~ spl485_4 ),
    inference(avatar_split_clause,[],[f2113,f2092,f5299]) ).

tff(f5312,plain,
    ( ~ visSomeExp(vreduceExp(vbinop(ve1,sK453,ve2),sK454))
    | ~ spl485_25 ),
    inference(equality_resolution,[],[f5300]) ).

tff(f5314,definition,
    ( spl485_26
  <=> visSomeExp(vreduceExp(vbinop(ve1,sK453,ve2),sK454)) ),
    introduced(definition,[new_symbols(definition,[spl485_26])],[avatar_definition]) ).

tff(f5316,plain,
    ( ~ visSomeExp(vreduceExp(vbinop(ve1,sK453,ve2),sK454))
    | spl485_26 ),
    inference(avatar_component_clause,[],[f5314]) ).

tff(f5317,plain,
    ( ~ spl485_26
    | ~ spl485_25 ),
    inference(avatar_split_clause,[],[f5312,f5299,f5314]) ).

tff(f5331,plain,
    ( ( vnoExp = vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
    | spl485_26 ),
    inference(resolution,[],[f5316,f1266]) ).

tff(f5589,definition,
    ( spl485_28
  <=> ( vgetExpValue(ve2) = sK194(ve2) ) ),
    introduced(definition,[new_symbols(definition,[spl485_28])],[avatar_definition]) ).

tff(f5591,plain,
    ( ( vgetExpValue(ve2) = sK194(ve2) )
    | ~ spl485_28 ),
    inference(avatar_component_clause,[],[f5589]) ).

tff(f5592,plain,
    ( spl485_28
    | ~ spl485_9 ),
    inference(avatar_split_clause,[],[f2478,f2471,f5589]) ).

tff(f5593,plain,
    ( ( ve2 = vconstant(vgetExpValue(ve2)) )
    | ~ spl485_9
    | ~ spl485_28 ),
    inference(superposition,[],[f2473,f5591]) ).

tff(f5604,definition,
    ( spl485_30
  <=> ( vgetExpValue(ve1) = sK194(ve1) ) ),
    introduced(definition,[new_symbols(definition,[spl485_30])],[avatar_definition]) ).

tff(f5606,plain,
    ( ( vgetExpValue(ve1) = sK194(ve1) )
    | ~ spl485_30 ),
    inference(avatar_component_clause,[],[f5604]) ).

tff(f5607,plain,
    ( spl485_30
    | ~ spl485_10 ),
    inference(avatar_split_clause,[],[f2496,f2489,f5604]) ).

tff(f5608,plain,
    ( ( ve1 = vconstant(vgetExpValue(ve1)) )
    | ~ spl485_10
    | ~ spl485_30 ),
    inference(superposition,[],[f2491,f5606]) ).

tff(f5765,definition,
    ( spl485_40
  <=> ! [X4: vATMap,X0: vBinOpT,X3: vAType,X2: vAval,X1: vAval] :
        ( ( vevalBinOp(X0,X1,X2) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ( vsomeAType(X3) != vecheck(X4,vbinop(vconstant(X1),X0,vconstant(X2))) ) ) ),
    introduced(definition,[new_symbols(definition,[spl485_40])],[avatar_definition]) ).

tff(f5766,plain,
    ( ! [X2: vAval,X3: vAType,X0: vBinOpT,X1: vAval,X4: vATMap] :
        ( ( vevalBinOp(X0,X1,X2) != vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
        | ( vsomeAType(X3) != vecheck(X4,vbinop(vconstant(X1),X0,vconstant(X2))) ) )
    | ~ spl485_40 ),
    inference(avatar_component_clause,[],[f5765]) ).

tff(f5767,plain,
    ( spl485_40
    | ~ spl485_4 ),
    inference(avatar_split_clause,[],[f2116,f2092,f5765]) ).

tff(f5768,plain,
    ( ! [X2: vAval,X3: vAType,X0: vBinOpT,X1: vAval,X4: vATMap] :
        ( ( vnoExp != vevalBinOp(X0,X1,X2) )
        | ( vsomeAType(X3) != vecheck(X4,vbinop(vconstant(X1),X0,vconstant(X2))) ) )
    | spl485_26
    | ~ spl485_40 ),
    inference(forward_demodulation,[],[f5766,f5331]) ).

tff(f5779,definition,
    ( spl485_42
  <=> ( ve2 = vconstant(vgetExpValue(ve2)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_42])],[avatar_definition]) ).

tff(f5781,plain,
    ( ( ve2 = vconstant(vgetExpValue(ve2)) )
    | ~ spl485_42 ),
    inference(avatar_component_clause,[],[f5779]) ).

tff(f5782,plain,
    ( spl485_42
    | ~ spl485_9
    | ~ spl485_28 ),
    inference(avatar_split_clause,[],[f5593,f5589,f2471,f5779]) ).

tff(f5794,definition,
    ( spl485_43
  <=> ( ve1 = vconstant(vgetExpValue(ve1)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_43])],[avatar_definition]) ).

tff(f5796,plain,
    ( ( ve1 = vconstant(vgetExpValue(ve1)) )
    | ~ spl485_43 ),
    inference(avatar_component_clause,[],[f5794]) ).

tff(f5797,plain,
    ( spl485_43
    | ~ spl485_10
    | ~ spl485_30 ),
    inference(avatar_split_clause,[],[f5608,f5604,f2489,f5794]) ).

tff(f5882,definition,
    ( spl485_46
  <=> sP57(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) ),
    introduced(definition,[new_symbols(definition,[spl485_46])],[avatar_definition]) ).

tff(f5883,plain,
    ( ~ sP57(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | spl485_46 ),
    inference(avatar_component_clause,[],[f5882]) ).

tff(f5884,plain,
    ( sP57(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_46 ),
    inference(avatar_component_clause,[],[f5882]) ).

tff(f5886,definition,
    ( spl485_47
  <=> sP54(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) ),
    introduced(definition,[new_symbols(definition,[spl485_47])],[avatar_definition]) ).

tff(f5887,plain,
    ( ~ sP54(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | spl485_47 ),
    inference(avatar_component_clause,[],[f5886]) ).

tff(f5888,plain,
    ( sP54(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_47 ),
    inference(avatar_component_clause,[],[f5886]) ).

tff(f5890,definition,
    ( spl485_48
  <=> sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) ),
    introduced(definition,[new_symbols(definition,[spl485_48])],[avatar_definition]) ).

tff(f5892,plain,
    ( sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_48 ),
    inference(avatar_component_clause,[],[f5890]) ).

tff(f5899,plain,
    ( ( vbinop(ve1,sK453,ve2) = vunop(sK415(vtypeAM(sK454),vbinop(ve1,sK453,ve2)),sK416(vtypeAM(sK454),vbinop(ve1,sK453,ve2))) )
    | ~ spl485_46 ),
    inference(resolution,[],[f5884,f1851]) ).

tff(f5906,plain,
    ( $false
    | ~ spl485_46 ),
    inference(forward_subsumption_resolution,[],[f5899,f880]) ).

tff(f5907,plain,
    ~ spl485_46,
    inference(avatar_contradiction_clause,[],[f5906]) ).

tff(f5941,plain,
    ( ( vbinop(ve1,sK453,ve2) = vconstant(vB(sK436(vtypeAM(sK454),vbinop(ve1,sK453,ve2)))) )
    | ( vbinop(ve1,sK453,ve2) = vconstant(vNum(sK437(vtypeAM(sK454),vbinop(ve1,sK453,ve2)))) )
    | ( vbinop(ve1,sK453,ve2) = vconstant(vT(sK439(vtypeAM(sK454),vbinop(ve1,sK453,ve2)))) )
    | sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP54(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP55(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP56(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | spl485_46 ),
    inference(resolution,[],[f5883,f1886]) ).

tff(f5959,plain,
    ( ( vbinop(ve1,sK453,ve2) = vbinop(sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)),sK434(vtypeAM(sK454),vbinop(ve1,sK453,ve2)),sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2))) )
    | ~ spl485_47 ),
    inference(resolution,[],[f5888,f1867]) ).

tff(f5982,definition,
    ( spl485_51
  <=> ( vbinop(ve1,sK453,ve2) = vbinop(sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)),sK434(vtypeAM(sK454),vbinop(ve1,sK453,ve2)),sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2))) ) ),
    introduced(definition,[new_symbols(definition,[spl485_51])],[avatar_definition]) ).

tff(f5984,plain,
    ( ( vbinop(ve1,sK453,ve2) = vbinop(sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)),sK434(vtypeAM(sK454),vbinop(ve1,sK453,ve2)),sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2))) )
    | ~ spl485_51 ),
    inference(avatar_component_clause,[],[f5982]) ).

tff(f5985,plain,
    ( spl485_51
    | ~ spl485_47 ),
    inference(avatar_split_clause,[],[f5959,f5886,f5982]) ).

tff(f6009,plain,
    ( ( vbinop(ve1,sK453,ve2) = vconstant(vB(sK436(vtypeAM(sK454),vbinop(ve1,sK453,ve2)))) )
    | ( vbinop(ve1,sK453,ve2) = vconstant(vNum(sK437(vtypeAM(sK454),vbinop(ve1,sK453,ve2)))) )
    | sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP54(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP55(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP56(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | spl485_46 ),
    inference(forward_subsumption_resolution,[],[f5941,f876]) ).

tff(f6046,plain,
    ( ( vbinop(ve1,sK453,ve2) = vconstant(vB(sK436(vtypeAM(sK454),vbinop(ve1,sK453,ve2)))) )
    | sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP54(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP55(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP56(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | spl485_46 ),
    inference(forward_subsumption_resolution,[],[f6009,f876]) ).

tff(f6075,plain,
    ( sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP54(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP55(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP56(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | spl485_46 ),
    inference(forward_subsumption_resolution,[],[f6046,f876]) ).

tff(f6101,plain,
    ( sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP55(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP56(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | spl485_46
    | spl485_47 ),
    inference(forward_subsumption_resolution,[],[f6075,f5887]) ).

tff(f6121,plain,
    ( sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | sP56(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_5
    | spl485_46
    | spl485_47 ),
    inference(forward_subsumption_resolution,[],[f6101,f2236]) ).

tff(f6134,plain,
    ( sP58(vtypeAM(sK454),vbinop(ve1,sK453,ve2))
    | ~ spl485_5
    | spl485_46
    | spl485_47 ),
    inference(forward_subsumption_resolution,[],[f6121,f2237]) ).

tff(f6186,plain,
    ( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = X2 ) )
    | ~ spl485_51 ),
    inference(superposition,[],[f870,f5984]) ).

tff(f6190,plain,
    ( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = X0 ) )
    | ~ spl485_51 ),
    inference(superposition,[],[f872,f5984]) ).

tff(f6248,plain,
    ( spl485_48
    | ~ spl485_5
    | spl485_46
    | spl485_47 ),
    inference(avatar_split_clause,[],[f6134,f5886,f5882,f2128,f5890]) ).

tff(f6250,plain,
    ( ( vbinop(ve1,sK453,ve2) = vqvar(sK413(vtypeAM(sK454),vbinop(ve1,sK453,ve2))) )
    | ~ spl485_48 ),
    inference(resolution,[],[f5892,f1848]) ).

tff(f6255,plain,
    ( $false
    | ~ spl485_48 ),
    inference(forward_subsumption_resolution,[],[f6250,f878]) ).

tff(f6256,plain,
    ~ spl485_48,
    inference(avatar_contradiction_clause,[],[f6255]) ).

tff(f6859,definition,
    ( spl485_58
  <=> ( vnoExp = vreduceExp(vbinop(ve1,sK453,ve2),sK454) ) ),
    introduced(definition,[new_symbols(definition,[spl485_58])],[avatar_definition]) ).

tff(f6861,plain,
    ( ( vnoExp = vreduceExp(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_58 ),
    inference(avatar_component_clause,[],[f6859]) ).

tff(f6862,plain,
    ( spl485_58
    | spl485_26 ),
    inference(avatar_split_clause,[],[f5331,f5314,f6859]) ).

tff(f7556,definition,
    ( spl485_69
  <=> sP21(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_69])],[avatar_definition]) ).

tff(f7557,plain,
    ( ~ sP21(vbinop(ve1,sK453,ve2),sK454)
    | spl485_69 ),
    inference(avatar_component_clause,[],[f7556]) ).

tff(f7558,plain,
    ( sP21(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_69 ),
    inference(avatar_component_clause,[],[f7556]) ).

tff(f7560,definition,
    ( spl485_70
  <=> sP17(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_70])],[avatar_definition]) ).

tff(f7561,plain,
    ( ~ sP17(vbinop(ve1,sK453,ve2),sK454)
    | spl485_70 ),
    inference(avatar_component_clause,[],[f7560]) ).

tff(f7562,plain,
    ( sP17(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_70 ),
    inference(avatar_component_clause,[],[f7560]) ).

tff(f7564,definition,
    ( spl485_71
  <=> sP22(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_71])],[avatar_definition]) ).

tff(f7565,plain,
    ( ~ sP22(vbinop(ve1,sK453,ve2),sK454)
    | spl485_71 ),
    inference(avatar_component_clause,[],[f7564]) ).

tff(f7566,plain,
    ( sP22(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_71 ),
    inference(avatar_component_clause,[],[f7564]) ).

tff(f7635,definition,
    ( spl485_73
  <=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl485_73])],[avatar_definition]) ).

tff(f7636,plain,
    ( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = X0 ) )
    | ~ spl485_73 ),
    inference(avatar_component_clause,[],[f7635]) ).

tff(f7637,plain,
    ( spl485_73
    | ~ spl485_51 ),
    inference(avatar_split_clause,[],[f6190,f5982,f7635]) ).

tff(f7646,plain,
    ( ( ve1 = sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) )
    | ~ spl485_73 ),
    inference(equality_resolution,[],[f7636]) ).

tff(f7657,definition,
    ( spl485_74
  <=> ( ve1 = sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_74])],[avatar_definition]) ).

tff(f7659,plain,
    ( ( ve1 = sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) )
    | ~ spl485_74 ),
    inference(avatar_component_clause,[],[f7657]) ).

tff(f7660,plain,
    ( spl485_74
    | ~ spl485_73 ),
    inference(avatar_split_clause,[],[f7646,f7635,f7657]) ).

tff(f7714,definition,
    ( spl485_77
  <=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = X2 ) ) ),
    introduced(definition,[new_symbols(definition,[spl485_77])],[avatar_definition]) ).

tff(f7715,plain,
    ( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = X2 ) )
    | ~ spl485_77 ),
    inference(avatar_component_clause,[],[f7714]) ).

tff(f7716,plain,
    ( spl485_77
    | ~ spl485_51 ),
    inference(avatar_split_clause,[],[f6186,f5982,f7714]) ).

tff(f7725,plain,
    ( ( ve2 = sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) )
    | ~ spl485_77 ),
    inference(equality_resolution,[],[f7715]) ).

tff(f7736,definition,
    ( spl485_78
  <=> ( ve2 = sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_78])],[avatar_definition]) ).

tff(f7738,plain,
    ( ( ve2 = sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) )
    | ~ spl485_78 ),
    inference(avatar_component_clause,[],[f7736]) ).

tff(f7739,plain,
    ( spl485_78
    | ~ spl485_77 ),
    inference(avatar_split_clause,[],[f7725,f7714,f7736]) ).

tff(f7772,definition,
    ( spl485_80
  <=> ! [X4: vATMap,X0: vBinOpT,X3: vAType,X2: vAval,X1: vAval] :
        ( ( vnoExp != vevalBinOp(X0,X1,X2) )
        | ( vsomeAType(X3) != vecheck(X4,vbinop(vconstant(X1),X0,vconstant(X2))) ) ) ),
    introduced(definition,[new_symbols(definition,[spl485_80])],[avatar_definition]) ).

tff(f7773,plain,
    ( ! [X2: vAval,X3: vAType,X0: vBinOpT,X1: vAval,X4: vATMap] :
        ( ( vsomeAType(X3) != vecheck(X4,vbinop(vconstant(X1),X0,vconstant(X2))) )
        | ( vnoExp != vevalBinOp(X0,X1,X2) ) )
    | ~ spl485_80 ),
    inference(avatar_component_clause,[],[f7772]) ).

tff(f7774,plain,
    ( spl485_80
    | spl485_26
    | ~ spl485_40 ),
    inference(avatar_split_clause,[],[f5768,f5765,f5314,f7772]) ).

tff(f7777,plain,
    ( ! [X2: vAval,X3: vBinOpT,X0: vOptAType,X1: vATMap,X4: vAval] :
        ( ( vecheck(X1,vbinop(vconstant(X2),X3,vconstant(X4))) != X0 )
        | ( vnoExp != vevalBinOp(X3,X2,X4) )
        | ( vnoAType = X0 ) )
    | ~ spl485_80 ),
    inference(superposition,[],[f7773,f908]) ).

tff(f8657,plain,
    ( ( vreduceExp(vbinop(ve1,sK453,ve2),sK454) = vsomeExp(vbinop(vgetExp(sK254(vbinop(ve1,sK453,ve2),sK454)),sK257(vbinop(ve1,sK453,ve2),sK454),sK256(vbinop(ve1,sK453,ve2),sK454))) )
    | ~ spl485_69 ),
    inference(resolution,[],[f7558,f1458]) ).

tff(f8663,plain,
    ( $false
    | ~ spl485_4
    | ~ spl485_69 ),
    inference(forward_subsumption_resolution,[],[f8657,f2093]) ).

tff(f8664,plain,
    ( ~ spl485_4
    | ~ spl485_69 ),
    inference(avatar_contradiction_clause,[],[f8663]) ).

tff(f8674,plain,
    ( sP23(vbinop(ve1,sK453,ve2),sK454)
    | sP22(vbinop(ve1,sK453,ve2),sK454)
    | sP17(vbinop(ve1,sK453,ve2),sK454)
    | sP16(vbinop(ve1,sK453,ve2),sK454)
    | sP20(vbinop(ve1,sK453,ve2),sK454)
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20
    | spl485_22
    | spl485_69 ),
    inference(backward_subsumption_resolution,[],[f2745,f7557]) ).

tff(f8675,plain,
    ( ( vreduceExp(vbinop(ve1,sK453,ve2),sK454) = vsomeExp(vbinop(sK271(vbinop(ve1,sK453,ve2),sK454),sK275(vbinop(ve1,sK453,ve2),sK454),vgetExp(sK272(vbinop(ve1,sK453,ve2),sK454)))) )
    | ~ spl485_70 ),
    inference(resolution,[],[f7562,f1482]) ).

tff(f8682,plain,
    ( $false
    | ~ spl485_4
    | ~ spl485_70 ),
    inference(forward_subsumption_resolution,[],[f8675,f2093]) ).

tff(f8683,plain,
    ( ~ spl485_4
    | ~ spl485_70 ),
    inference(avatar_contradiction_clause,[],[f8682]) ).

tff(f9045,plain,
    ( ( vbinop(ve1,sK453,ve2) = vbinop(sK249(vbinop(ve1,sK453,ve2),sK454),sK250(vbinop(ve1,sK453,ve2),sK454),sK251(vbinop(ve1,sK453,ve2),sK454)) )
    | ~ spl485_71 ),
    inference(resolution,[],[f7566,f1455]) ).

tff(f9058,definition,
    ( spl485_99
  <=> ( vbinop(ve1,sK453,ve2) = vbinop(sK249(vbinop(ve1,sK453,ve2),sK454),sK250(vbinop(ve1,sK453,ve2),sK454),sK251(vbinop(ve1,sK453,ve2),sK454)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_99])],[avatar_definition]) ).

tff(f9060,plain,
    ( ( vbinop(ve1,sK453,ve2) = vbinop(sK249(vbinop(ve1,sK453,ve2),sK454),sK250(vbinop(ve1,sK453,ve2),sK454),sK251(vbinop(ve1,sK453,ve2),sK454)) )
    | ~ spl485_99 ),
    inference(avatar_component_clause,[],[f9058]) ).

tff(f9061,plain,
    ( spl485_99
    | ~ spl485_71 ),
    inference(avatar_split_clause,[],[f9045,f7564,f9058]) ).

tff(f9221,plain,
    ( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK250(vbinop(ve1,sK453,ve2),sK454) = X1 ) )
    | ~ spl485_99 ),
    inference(superposition,[],[f871,f9060]) ).

tff(f9232,plain,
    ( ( vbinop(ve1,sK453,ve2) != vbinop(ve1,sK453,ve2) )
    | ( sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = sK249(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_73
    | ~ spl485_99 ),
    inference(superposition,[],[f7636,f9060]) ).

tff(f9233,plain,
    ( ( vbinop(ve1,sK453,ve2) != vbinop(ve1,sK453,ve2) )
    | ( sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = sK251(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_77
    | ~ spl485_99 ),
    inference(superposition,[],[f7715,f9060]) ).

tff(f9234,plain,
    ( ( sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = sK251(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_77
    | ~ spl485_99 ),
    inference(trivial_inequality_removal,[],[f9233]) ).

tff(f9235,plain,
    ( ( sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = sK249(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_73
    | ~ spl485_99 ),
    inference(trivial_inequality_removal,[],[f9232]) ).

tff(f9236,plain,
    ( ( ve2 = sK251(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_99 ),
    inference(forward_demodulation,[],[f9234,f7738]) ).

tff(f9237,plain,
    ( ( ve1 = sK249(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_73
    | ~ spl485_74
    | ~ spl485_99 ),
    inference(forward_demodulation,[],[f9235,f7659]) ).

tff(f9242,plain,
    ( ( vreduceExp(vbinop(ve1,sK453,ve2),sK454) = vevalBinOp(sK250(vbinop(ve1,sK453,ve2),sK454),vgetExpValue(sK249(vbinop(ve1,sK453,ve2),sK454)),vgetExpValue(sK251(vbinop(ve1,sK453,ve2),sK454))) )
    | ~ spl485_71 ),
    inference(resolution,[],[f7566,f1453]) ).

tff(f9247,plain,
    ( ( vreduceExp(vbinop(ve1,sK453,ve2),sK454) = vevalBinOp(sK250(vbinop(ve1,sK453,ve2),sK454),vgetExpValue(sK249(vbinop(ve1,sK453,ve2),sK454)),vgetExpValue(ve2)) )
    | ~ spl485_71
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_99 ),
    inference(forward_demodulation,[],[f9242,f9236]) ).

tff(f9248,plain,
    ( ( vreduceExp(vbinop(ve1,sK453,ve2),sK454) = vevalBinOp(sK250(vbinop(ve1,sK453,ve2),sK454),vgetExpValue(ve1),vgetExpValue(ve2)) )
    | ~ spl485_71
    | ~ spl485_73
    | ~ spl485_74
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_99 ),
    inference(forward_demodulation,[],[f9247,f9237]) ).

tff(f9392,plain,
    ( ( vnoExp = vevalBinOp(sK250(vbinop(ve1,sK453,ve2),sK454),vgetExpValue(ve1),vgetExpValue(ve2)) )
    | ~ spl485_58
    | ~ spl485_71
    | ~ spl485_73
    | ~ spl485_74
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_99 ),
    inference(forward_demodulation,[],[f9248,f6861]) ).

tff(f9658,plain,
    ( sP23(vbinop(ve1,sK453,ve2),sK454)
    | sP17(vbinop(ve1,sK453,ve2),sK454)
    | sP16(vbinop(ve1,sK453,ve2),sK454)
    | sP20(vbinop(ve1,sK453,ve2),sK454)
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20
    | spl485_22
    | spl485_69
    | spl485_71 ),
    inference(forward_subsumption_resolution,[],[f8674,f7565]) ).

tff(f9680,plain,
    ( sP23(vbinop(ve1,sK453,ve2),sK454)
    | sP16(vbinop(ve1,sK453,ve2),sK454)
    | sP20(vbinop(ve1,sK453,ve2),sK454)
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20
    | spl485_22
    | spl485_69
    | spl485_70
    | spl485_71 ),
    inference(forward_subsumption_resolution,[],[f9658,f7561]) ).

tff(f11406,definition,
    ( spl485_176
  <=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK250(vbinop(ve1,sK453,ve2),sK454) = X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl485_176])],[avatar_definition]) ).

tff(f11407,plain,
    ( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
        ( ( vbinop(ve1,sK453,ve2) != vbinop(X0,X1,X2) )
        | ( sK250(vbinop(ve1,sK453,ve2),sK454) = X1 ) )
    | ~ spl485_176 ),
    inference(avatar_component_clause,[],[f11406]) ).

tff(f11408,plain,
    ( spl485_176
    | ~ spl485_99 ),
    inference(avatar_split_clause,[],[f9221,f9058,f11406]) ).

tff(f11419,plain,
    ( ( sK453 = sK250(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_176 ),
    inference(equality_resolution,[],[f11407]) ).

tff(f11434,definition,
    ( spl485_177
  <=> ( sK453 = sK250(vbinop(ve1,sK453,ve2),sK454) ) ),
    introduced(definition,[new_symbols(definition,[spl485_177])],[avatar_definition]) ).

tff(f11436,plain,
    ( ( sK453 = sK250(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_177 ),
    inference(avatar_component_clause,[],[f11434]) ).

tff(f11437,plain,
    ( spl485_177
    | ~ spl485_176 ),
    inference(avatar_split_clause,[],[f11419,f11406,f11434]) ).

tff(f13613,definition,
    ( spl485_220
  <=> sP18(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_220])],[avatar_definition]) ).

tff(f13615,plain,
    ( sP18(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_220 ),
    inference(avatar_component_clause,[],[f13613]) ).

tff(f13617,definition,
    ( spl485_221
  <=> sP20(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_221])],[avatar_definition]) ).

tff(f13618,plain,
    ( ~ sP20(vbinop(ve1,sK453,ve2),sK454)
    | spl485_221 ),
    inference(avatar_component_clause,[],[f13617]) ).

tff(f13619,plain,
    ( sP20(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_221 ),
    inference(avatar_component_clause,[],[f13617]) ).

tff(f13621,definition,
    ( spl485_222
  <=> sP16(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_222])],[avatar_definition]) ).

tff(f13622,plain,
    ( ~ sP16(vbinop(ve1,sK453,ve2),sK454)
    | spl485_222 ),
    inference(avatar_component_clause,[],[f13621]) ).

tff(f13623,plain,
    ( sP16(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_222 ),
    inference(avatar_component_clause,[],[f13621]) ).

tff(f13625,definition,
    ( spl485_223
  <=> sP23(vbinop(ve1,sK453,ve2),sK454) ),
    introduced(definition,[new_symbols(definition,[spl485_223])],[avatar_definition]) ).

tff(f13626,plain,
    ( ~ sP23(vbinop(ve1,sK453,ve2),sK454)
    | spl485_223 ),
    inference(avatar_component_clause,[],[f13625]) ).

tff(f13627,plain,
    ( sP23(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_223 ),
    inference(avatar_component_clause,[],[f13625]) ).

tff(f13639,plain,
    ( ( vbinop(ve1,sK453,ve2) = vqvar(sK246(vbinop(ve1,sK453,ve2),sK454)) )
    | ~ spl485_223 ),
    inference(resolution,[],[f13627,f1450]) ).

tff(f13642,plain,
    ( $false
    | ~ spl485_223 ),
    inference(forward_subsumption_resolution,[],[f13639,f878]) ).

tff(f13643,plain,
    ~ spl485_223,
    inference(avatar_contradiction_clause,[],[f13642]) ).

tff(f13648,plain,
    ( sP16(vbinop(ve1,sK453,ve2),sK454)
    | sP20(vbinop(ve1,sK453,ve2),sK454)
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20
    | spl485_22
    | spl485_69
    | spl485_70
    | spl485_71
    | spl485_223 ),
    inference(backward_subsumption_resolution,[],[f9680,f13626]) ).

tff(f13655,plain,
    ( ( vbinop(ve1,sK453,ve2) = vbinop(sK258(vbinop(ve1,sK453,ve2),sK454),sK262(vbinop(ve1,sK453,ve2),sK454),sK261(vbinop(ve1,sK453,ve2),sK454)) )
    | ~ spl485_221 ),
    inference(resolution,[],[f13619,f1466]) ).

tff(f13790,definition,
    ( spl485_228
  <=> ( vbinop(ve1,sK453,ve2) = vbinop(sK258(vbinop(ve1,sK453,ve2),sK454),sK262(vbinop(ve1,sK453,ve2),sK454),sK261(vbinop(ve1,sK453,ve2),sK454)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_228])],[avatar_definition]) ).

tff(f13792,plain,
    ( ( vbinop(ve1,sK453,ve2) = vbinop(sK258(vbinop(ve1,sK453,ve2),sK454),sK262(vbinop(ve1,sK453,ve2),sK454),sK261(vbinop(ve1,sK453,ve2),sK454)) )
    | ~ spl485_228 ),
    inference(avatar_component_clause,[],[f13790]) ).

tff(f13793,plain,
    ( spl485_228
    | ~ spl485_221 ),
    inference(avatar_split_clause,[],[f13655,f13617,f13790]) ).

tff(f13808,plain,
    ( ( vbinop(ve1,sK453,ve2) != vbinop(ve1,sK453,ve2) )
    | ( sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = sK258(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_73
    | ~ spl485_228 ),
    inference(superposition,[],[f7636,f13792]) ).

tff(f13813,plain,
    ( ( sK431(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = sK258(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_73
    | ~ spl485_228 ),
    inference(trivial_inequality_removal,[],[f13808]) ).

tff(f13816,plain,
    ( ( ve1 = sK258(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_73
    | ~ spl485_74
    | ~ spl485_228 ),
    inference(forward_demodulation,[],[f13813,f7659]) ).

tff(f13832,definition,
    ( spl485_230
  <=> ( ve1 = sK258(vbinop(ve1,sK453,ve2),sK454) ) ),
    introduced(definition,[new_symbols(definition,[spl485_230])],[avatar_definition]) ).

tff(f13834,plain,
    ( ( ve1 = sK258(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_230 ),
    inference(avatar_component_clause,[],[f13832]) ).

tff(f13835,plain,
    ( spl485_230
    | ~ spl485_73
    | ~ spl485_74
    | ~ spl485_228 ),
    inference(avatar_split_clause,[],[f13816,f13790,f7657,f7635,f13832]) ).

tff(f13840,plain,
    ( ~ vexpIsValue(ve1)
    | ~ sP20(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_230 ),
    inference(superposition,[],[f1469,f13834]) ).

tff(f13841,plain,
    ( ~ sP20(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_2
    | ~ spl485_230 ),
    inference(forward_subsumption_resolution,[],[f13840,f2084]) ).

tff(f13846,plain,
    ( $false
    | ~ spl485_2
    | ~ spl485_221
    | ~ spl485_230 ),
    inference(forward_subsumption_resolution,[],[f13841,f13619]) ).

tff(f13847,plain,
    ( ~ spl485_2
    | ~ spl485_221
    | ~ spl485_230 ),
    inference(avatar_contradiction_clause,[],[f13846]) ).

tff(f14002,plain,
    ( ( vbinop(ve1,sK453,ve2) = vbinop(sK276(vbinop(ve1,sK453,ve2),sK454),sK280(vbinop(ve1,sK453,ve2),sK454),sK279(vbinop(ve1,sK453,ve2),sK454)) )
    | ~ spl485_222 ),
    inference(resolution,[],[f13623,f1491]) ).

tff(f14146,definition,
    ( spl485_235
  <=> ( vbinop(ve1,sK453,ve2) = vbinop(sK276(vbinop(ve1,sK453,ve2),sK454),sK280(vbinop(ve1,sK453,ve2),sK454),sK279(vbinop(ve1,sK453,ve2),sK454)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_235])],[avatar_definition]) ).

tff(f14148,plain,
    ( ( vbinop(ve1,sK453,ve2) = vbinop(sK276(vbinop(ve1,sK453,ve2),sK454),sK280(vbinop(ve1,sK453,ve2),sK454),sK279(vbinop(ve1,sK453,ve2),sK454)) )
    | ~ spl485_235 ),
    inference(avatar_component_clause,[],[f14146]) ).

tff(f14149,plain,
    ( spl485_235
    | ~ spl485_222 ),
    inference(avatar_split_clause,[],[f14002,f13621,f14146]) ).

tff(f14165,plain,
    ( ( vbinop(ve1,sK453,ve2) != vbinop(ve1,sK453,ve2) )
    | ( sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = sK279(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_77
    | ~ spl485_235 ),
    inference(superposition,[],[f7715,f14148]) ).

tff(f14168,plain,
    ( ( sK433(vtypeAM(sK454),vbinop(ve1,sK453,ve2)) = sK279(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_77
    | ~ spl485_235 ),
    inference(trivial_inequality_removal,[],[f14165]) ).

tff(f14171,plain,
    ( ( ve2 = sK279(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_235 ),
    inference(forward_demodulation,[],[f14168,f7738]) ).

tff(f14189,definition,
    ( spl485_237
  <=> ( ve2 = sK279(vbinop(ve1,sK453,ve2),sK454) ) ),
    introduced(definition,[new_symbols(definition,[spl485_237])],[avatar_definition]) ).

tff(f14191,plain,
    ( ( ve2 = sK279(vbinop(ve1,sK453,ve2),sK454) )
    | ~ spl485_237 ),
    inference(avatar_component_clause,[],[f14189]) ).

tff(f14192,plain,
    ( spl485_237
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_235 ),
    inference(avatar_split_clause,[],[f14171,f14146,f7736,f7714,f14189]) ).

tff(f14197,plain,
    ( ~ vexpIsValue(ve2)
    | ~ sP16(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_237 ),
    inference(superposition,[],[f1494,f14191]) ).

tff(f14198,plain,
    ( ~ sP16(vbinop(ve1,sK453,ve2),sK454)
    | ~ spl485_3
    | ~ spl485_237 ),
    inference(forward_subsumption_resolution,[],[f14197,f2089]) ).

tff(f14203,plain,
    ( $false
    | ~ spl485_3
    | ~ spl485_222
    | ~ spl485_237 ),
    inference(forward_subsumption_resolution,[],[f14198,f13623]) ).

tff(f14204,plain,
    ( ~ spl485_3
    | ~ spl485_222
    | ~ spl485_237 ),
    inference(avatar_contradiction_clause,[],[f14203]) ).

tff(f14213,plain,
    ( sP20(vbinop(ve1,sK453,ve2),sK454)
    | sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20
    | spl485_22
    | spl485_69
    | spl485_70
    | spl485_71
    | spl485_222
    | spl485_223 ),
    inference(forward_subsumption_resolution,[],[f13648,f13622]) ).

tff(f14266,plain,
    ( sP18(vbinop(ve1,sK453,ve2),sK454)
    | spl485_20
    | spl485_22
    | spl485_69
    | spl485_70
    | spl485_71
    | spl485_221
    | spl485_222
    | spl485_223 ),
    inference(forward_subsumption_resolution,[],[f14213,f13618]) ).

tff(f14391,plain,
    ( spl485_220
    | spl485_20
    | spl485_22
    | spl485_69
    | spl485_70
    | spl485_71
    | spl485_221
    | spl485_222
    | spl485_223 ),
    inference(avatar_split_clause,[],[f14266,f13625,f13621,f13617,f7564,f7560,f7556,f2707,f2632,f13613]) ).

tff(f14394,plain,
    ( ( vbinop(ve1,sK453,ve2) = vunop(sK267(vbinop(ve1,sK453,ve2),sK454),sK268(vbinop(ve1,sK453,ve2),sK454)) )
    | ~ spl485_220 ),
    inference(resolution,[],[f13615,f1478]) ).

tff(f14398,plain,
    ( $false
    | ~ spl485_220 ),
    inference(forward_subsumption_resolution,[],[f14394,f880]) ).

tff(f14399,plain,
    ~ spl485_220,
    inference(avatar_contradiction_clause,[],[f14398]) ).

tff(f14402,plain,
    ( ( vnoExp = vevalBinOp(sK453,vgetExpValue(ve1),vgetExpValue(ve2)) )
    | ~ spl485_58
    | ~ spl485_71
    | ~ spl485_73
    | ~ spl485_74
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_99
    | ~ spl485_177 ),
    inference(forward_demodulation,[],[f9392,f11436]) ).

tff(f14545,definition,
    ( spl485_238
  <=> ( vnoExp = vevalBinOp(sK453,vgetExpValue(ve1),vgetExpValue(ve2)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_238])],[avatar_definition]) ).

tff(f14547,plain,
    ( ( vnoExp = vevalBinOp(sK453,vgetExpValue(ve1),vgetExpValue(ve2)) )
    | ~ spl485_238 ),
    inference(avatar_component_clause,[],[f14545]) ).

tff(f14548,plain,
    ( spl485_238
    | ~ spl485_58
    | ~ spl485_71
    | ~ spl485_73
    | ~ spl485_74
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_99
    | ~ spl485_177 ),
    inference(avatar_split_clause,[],[f14402,f11434,f9058,f7736,f7714,f7657,f7635,f7564,f6859,f14545]) ).

tff(f120840,definition,
    ( spl485_1338
  <=> ! [X4: vAval,X0: vOptAType,X3: vBinOpT,X2: vAval,X1: vATMap] :
        ( ( vecheck(X1,vbinop(vconstant(X2),X3,vconstant(X4))) != X0 )
        | ( vnoExp != vevalBinOp(X3,X2,X4) )
        | ( vnoAType = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl485_1338])],[avatar_definition]) ).

tff(f120841,plain,
    ( ! [X2: vAval,X3: vBinOpT,X0: vOptAType,X1: vATMap,X4: vAval] :
        ( ( vecheck(X1,vbinop(vconstant(X2),X3,vconstant(X4))) != X0 )
        | ( vnoExp != vevalBinOp(X3,X2,X4) )
        | ( vnoAType = X0 ) )
    | ~ spl485_1338 ),
    inference(avatar_component_clause,[],[f120840]) ).

tff(f120842,plain,
    ( spl485_1338
    | ~ spl485_80 ),
    inference(avatar_split_clause,[],[f7777,f7772,f120840]) ).

tff(f121005,plain,
    ( ! [X2: vAval,X3: vATMap,X0: vBinOpT,X1: vAval] :
        ( ( vnoExp != vevalBinOp(X0,X1,X2) )
        | ( vnoAType = vecheck(X3,vbinop(vconstant(X1),X0,vconstant(X2))) ) )
    | ~ spl485_1338 ),
    inference(equality_resolution,[],[f120841]) ).

tff(f121057,definition,
    ( spl485_1339
  <=> ! [X2: vAval,X0: vBinOpT,X1: vAval,X3: vATMap] :
        ( ( vnoExp != vevalBinOp(X0,X1,X2) )
        | ( vnoAType = vecheck(X3,vbinop(vconstant(X1),X0,vconstant(X2))) ) ) ),
    introduced(definition,[new_symbols(definition,[spl485_1339])],[avatar_definition]) ).

tff(f121058,plain,
    ( ! [X2: vAval,X3: vATMap,X0: vBinOpT,X1: vAval] :
        ( ( vnoExp != vevalBinOp(X0,X1,X2) )
        | ( vnoAType = vecheck(X3,vbinop(vconstant(X1),X0,vconstant(X2))) ) )
    | ~ spl485_1339 ),
    inference(avatar_component_clause,[],[f121057]) ).

tff(f121059,plain,
    ( spl485_1339
    | ~ spl485_1338 ),
    inference(avatar_split_clause,[],[f121005,f120840,f121057]) ).

tff(f121081,plain,
    ( ! [X0: vATMap] :
        ( ( vnoExp != vnoExp )
        | ( vnoAType = vecheck(X0,vbinop(vconstant(vgetExpValue(ve1)),sK453,vconstant(vgetExpValue(ve2)))) ) )
    | ~ spl485_238
    | ~ spl485_1339 ),
    inference(superposition,[],[f121058,f14547]) ).

tff(f121083,plain,
    ( ! [X0: vATMap] : ( vnoAType = vecheck(X0,vbinop(vconstant(vgetExpValue(ve1)),sK453,vconstant(vgetExpValue(ve2)))) )
    | ~ spl485_238
    | ~ spl485_1339 ),
    inference(trivial_inequality_removal,[],[f121081]) ).

tff(f121094,plain,
    ( ! [X0: vATMap] : ( vnoAType = vecheck(X0,vbinop(vconstant(vgetExpValue(ve1)),sK453,ve2)) )
    | ~ spl485_42
    | ~ spl485_238
    | ~ spl485_1339 ),
    inference(forward_demodulation,[],[f121083,f5781]) ).

tff(f122054,plain,
    ( ! [X0: vATMap] : ( vnoAType = vecheck(X0,vbinop(ve1,sK453,ve2)) )
    | ~ spl485_42
    | ~ spl485_43
    | ~ spl485_238
    | ~ spl485_1339 ),
    inference(forward_demodulation,[],[f121094,f5796]) ).

tff(f127360,definition,
    ( spl485_1347
  <=> ! [X0: vATMap] : ( vnoAType = vecheck(X0,vbinop(ve1,sK453,ve2)) ) ),
    introduced(definition,[new_symbols(definition,[spl485_1347])],[avatar_definition]) ).

tff(f127361,plain,
    ( ! [X0: vATMap] : ( vnoAType = vecheck(X0,vbinop(ve1,sK453,ve2)) )
    | ~ spl485_1347 ),
    inference(avatar_component_clause,[],[f127360]) ).

tff(f127362,plain,
    ( spl485_1347
    | ~ spl485_42
    | ~ spl485_43
    | ~ spl485_238
    | ~ spl485_1339 ),
    inference(avatar_split_clause,[],[f122054,f121057,f14545,f5794,f5779,f127360]) ).

tff(f139435,plain,
    ( ( vnoAType = vsomeAType(sK455) )
    | ~ spl485_5
    | ~ spl485_1347 ),
    inference(superposition,[],[f127361,f2130]) ).

tff(f139595,plain,
    ( $false
    | ~ spl485_5
    | ~ spl485_1347 ),
    inference(forward_subsumption_resolution,[],[f139435,f910]) ).

tff(f139596,plain,
    ( ~ spl485_5
    | ~ spl485_1347 ),
    inference(avatar_contradiction_clause,[],[f139595]) ).

cnf(s2,plain,
    spl485_2,
    inference(sat_conversion,[],[f2085]) ).

cnf(s3,plain,
    spl485_3,
    inference(sat_conversion,[],[f2090]) ).

cnf(s4,plain,
    spl485_4,
    inference(sat_conversion,[],[f2094]) ).

cnf(s5,plain,
    spl485_5,
    inference(sat_conversion,[],[f2131]) ).

cnf(s9,plain,
    ( ~ spl485_3
    | spl485_9 ),
    inference(sat_conversion,[],[f2474]) ).

cnf(s10,plain,
    ( ~ spl485_2
    | spl485_10 ),
    inference(sat_conversion,[],[f2492]) ).

cnf(s18,plain,
    ( ~ spl485_4
    | spl485_18 ),
    inference(sat_conversion,[],[f2565]) ).

cnf(s19,plain,
    ( ~ spl485_4
    | spl485_19 ),
    inference(sat_conversion,[],[f2569]) ).

cnf(s20,plain,
    ( ~ spl485_19
    | ~ spl485_20 ),
    inference(sat_conversion,[],[f2635]) ).

cnf(s22,plain,
    ( ~ spl485_18
    | ~ spl485_22 ),
    inference(sat_conversion,[],[f2710]) ).

cnf(s25,plain,
    ( ~ spl485_4
    | spl485_25 ),
    inference(sat_conversion,[],[f5301]) ).

cnf(s26,plain,
    ( ~ spl485_25
    | ~ spl485_26 ),
    inference(sat_conversion,[],[f5317]) ).

cnf(s28,plain,
    ( ~ spl485_9
    | spl485_28 ),
    inference(sat_conversion,[],[f5592]) ).

cnf(s30,plain,
    ( ~ spl485_10
    | spl485_30 ),
    inference(sat_conversion,[],[f5607]) ).

cnf(s40,plain,
    ( ~ spl485_4
    | spl485_40 ),
    inference(sat_conversion,[],[f5767]) ).

cnf(s42,plain,
    ( ~ spl485_9
    | ~ spl485_28
    | spl485_42 ),
    inference(sat_conversion,[],[f5782]) ).

cnf(s43,plain,
    ( ~ spl485_10
    | ~ spl485_30
    | spl485_43 ),
    inference(sat_conversion,[],[f5797]) ).

cnf(s46,plain,
    ~ spl485_46,
    inference(sat_conversion,[],[f5907]) ).

cnf(s48,plain,
    ( ~ spl485_47
    | spl485_51 ),
    inference(sat_conversion,[],[f5985]) ).

cnf(s51,plain,
    ( ~ spl485_5
    | spl485_46
    | spl485_47
    | spl485_48 ),
    inference(sat_conversion,[],[f6248]) ).

cnf(s52,plain,
    ~ spl485_48,
    inference(sat_conversion,[],[f6256]) ).

cnf(s57,plain,
    ( spl485_26
    | spl485_58 ),
    inference(sat_conversion,[],[f6862]) ).

cnf(s72,plain,
    ( ~ spl485_51
    | spl485_73 ),
    inference(sat_conversion,[],[f7637]) ).

cnf(s73,plain,
    ( ~ spl485_73
    | spl485_74 ),
    inference(sat_conversion,[],[f7660]) ).

cnf(s76,plain,
    ( ~ spl485_51
    | spl485_77 ),
    inference(sat_conversion,[],[f7716]) ).

cnf(s77,plain,
    ( ~ spl485_77
    | spl485_78 ),
    inference(sat_conversion,[],[f7739]) ).

cnf(s79,plain,
    ( spl485_26
    | ~ spl485_40
    | spl485_80 ),
    inference(sat_conversion,[],[f7774]) ).

cnf(s95,plain,
    ( ~ spl485_4
    | ~ spl485_69 ),
    inference(sat_conversion,[],[f8664]) ).

cnf(s96,plain,
    ( ~ spl485_4
    | ~ spl485_70 ),
    inference(sat_conversion,[],[f8683]) ).

cnf(s103,plain,
    ( ~ spl485_71
    | spl485_99 ),
    inference(sat_conversion,[],[f9061]) ).

cnf(s185,plain,
    ( ~ spl485_99
    | spl485_176 ),
    inference(sat_conversion,[],[f11408]) ).

cnf(s186,plain,
    ( ~ spl485_176
    | spl485_177 ),
    inference(sat_conversion,[],[f11437]) ).

cnf(s231,plain,
    ~ spl485_223,
    inference(sat_conversion,[],[f13643]) ).

cnf(s235,plain,
    ( ~ spl485_221
    | spl485_228 ),
    inference(sat_conversion,[],[f13793]) ).

cnf(s237,plain,
    ( ~ spl485_73
    | ~ spl485_74
    | ~ spl485_228
    | spl485_230 ),
    inference(sat_conversion,[],[f13835]) ).

cnf(s238,plain,
    ( ~ spl485_2
    | ~ spl485_221
    | ~ spl485_230 ),
    inference(sat_conversion,[],[f13847]) ).

cnf(s243,plain,
    ( ~ spl485_222
    | spl485_235 ),
    inference(sat_conversion,[],[f14149]) ).

cnf(s245,plain,
    ( ~ spl485_77
    | ~ spl485_78
    | ~ spl485_235
    | spl485_237 ),
    inference(sat_conversion,[],[f14192]) ).

cnf(s246,plain,
    ( ~ spl485_3
    | ~ spl485_222
    | ~ spl485_237 ),
    inference(sat_conversion,[],[f14204]) ).

cnf(s247,plain,
    ( spl485_20
    | spl485_22
    | spl485_69
    | spl485_70
    | spl485_71
    | spl485_220
    | spl485_221
    | spl485_222
    | spl485_223 ),
    inference(sat_conversion,[],[f14391]) ).

cnf(s248,plain,
    ~ spl485_220,
    inference(sat_conversion,[],[f14399]) ).

cnf(s250,plain,
    ( ~ spl485_58
    | ~ spl485_71
    | ~ spl485_73
    | ~ spl485_74
    | ~ spl485_77
    | ~ spl485_78
    | ~ spl485_99
    | ~ spl485_177
    | spl485_238 ),
    inference(sat_conversion,[],[f14548]) ).

cnf(s1482,plain,
    ( ~ spl485_80
    | spl485_1338 ),
    inference(sat_conversion,[],[f120842]) ).

cnf(s1483,plain,
    ( ~ spl485_1338
    | spl485_1339 ),
    inference(sat_conversion,[],[f121059]) ).

cnf(s1544,plain,
    ( ~ spl485_42
    | ~ spl485_43
    | ~ spl485_238
    | ~ spl485_1339
    | spl485_1347 ),
    inference(sat_conversion,[],[f127362]) ).

cnf(s1652,plain,
    ( ~ spl485_5
    | ~ spl485_1347 ),
    inference(sat_conversion,[],[f139596]) ).

cnf(s1792,plain,
    ( spl485_20
    | spl485_22
    | spl485_69
    | spl485_70
    | spl485_71
    | spl485_221
    | spl485_222
    | spl485_223 ),
    inference(rat,[],[s247,s248]) ).

cnf(s1796,plain,
    ( ~ spl485_5
    | spl485_46
    | spl485_47 ),
    inference(rat,[],[s51,s52]) ).

cnf(s1798,plain,
    ~ spl485_1347,
    inference(rat,[],[s1652,s5]) ).

cnf(s1807,plain,
    spl485_47,
    inference(rat,[],[s1796,s46,s5]) ).

cnf(s1813,plain,
    spl485_51,
    inference(rat,[],[s48,s1807]) ).

cnf(s1827,plain,
    spl485_77,
    inference(rat,[],[s76,s1813]) ).

cnf(s1828,plain,
    spl485_73,
    inference(rat,[],[s72,s1813]) ).

cnf(s1833,plain,
    spl485_78,
    inference(rat,[],[s77,s1827]) ).

cnf(s1834,plain,
    spl485_74,
    inference(rat,[],[s73,s1828]) ).

cnf(s1846,plain,
    ~ spl485_70,
    inference(rat,[],[s96,s4]) ).

cnf(s1847,plain,
    ~ spl485_69,
    inference(rat,[],[s95,s4]) ).

cnf(s1849,plain,
    spl485_40,
    inference(rat,[],[s40,s4]) ).

cnf(s1853,plain,
    spl485_25,
    inference(rat,[],[s25,s4]) ).

cnf(s1855,plain,
    spl485_19,
    inference(rat,[],[s19,s4]) ).

cnf(s1856,plain,
    spl485_18,
    inference(rat,[],[s18,s4]) ).

cnf(s1865,plain,
    ~ spl485_26,
    inference(rat,[],[s26,s1853]) ).

cnf(s1869,plain,
    ~ spl485_20,
    inference(rat,[],[s20,s1855]) ).

cnf(s1870,plain,
    ~ spl485_22,
    inference(rat,[],[s22,s1856]) ).

cnf(s1892,plain,
    spl485_80,
    inference(rat,[],[s79,s1849,s1865]) ).

cnf(s1893,plain,
    spl485_58,
    inference(rat,[],[s57,s1865]) ).

cnf(s1906,plain,
    spl485_1338,
    inference(rat,[],[s1482,s1892]) ).

cnf(s1940,plain,
    spl485_1339,
    inference(rat,[],[s1483,s1906]) ).

cnf(s2518,plain,
    spl485_9,
    inference(rat,[],[s9,s3]) ).

cnf(s2535,plain,
    spl485_28,
    inference(rat,[],[s28,s2518]) ).

cnf(s2544,plain,
    spl485_42,
    inference(rat,[],[s42,s2518,s2535]) ).

cnf(s2575,plain,
    spl485_10,
    inference(rat,[],[s10,s2]) ).

cnf(s2591,plain,
    spl485_30,
    inference(rat,[],[s30,s2575]) ).

cnf(s2600,plain,
    spl485_43,
    inference(rat,[],[s43,s2575,s2591]) ).

cnf(s2610,plain,
    ~ spl485_238,
    inference(rat,[],[s1544,s1798,s1940,s2544,s2600]) ).

cnf(s2640,plain,
    ~ spl485_222,
    inference(rat,[],[s245,s243,s246,s1827,s1833,s3]) ).

cnf(s2641,plain,
    ~ spl485_221,
    inference(rat,[],[s237,s235,s238,s1828,s1834,s2]) ).

cnf(s2642,plain,
    spl485_71,
    inference(rat,[],[s1792,s231,s2640,s1870,s1869,s1846,s1847,s2641]) ).

cnf(s2643,plain,
    spl485_99,
    inference(rat,[],[s103,s2642]) ).

cnf(s2647,plain,
    spl485_176,
    inference(rat,[],[s185,s2643]) ).

cnf(s2651,plain,
    ~ spl485_177,
    inference(rat,[],[s250,s2610,s2642,s1893,s1833,s1827,s1834,s1828,s2643]) ).

cnf(s2661,plain,
    $false,
    inference(rat,[],[s186,s2651,s2647]) ).

tff(f140003,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2661]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : COM276_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.26  % Computer : n020.cluster.edu
% 0.13/0.26  % Model    : x86_64 x86_64
% 0.13/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.26  % Memory   : 8046.5625MB
% 0.13/0.26  % OS       : Linux 6.8.0-71-generic
% 0.13/0.26  % CPULimit : 300
% 0.13/0.26  % WCLimit  : 300
% 0.13/0.26  % DateTime : Mon Sep 28 22:04:50 UTC 2026
% 0.13/0.26  % CPUTime  : 
% 0.13/0.26  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.30  Running first-order theorem proving
% 0.27/0.30  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.76/2.54  % (625925)Detected formulas, will run a generic FOF schedule.
% 12.76/2.54  % (626037)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1736349411:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.76/2.54  % (626039)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3867942046:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.76/2.54  % (626041)dis-21_1_sil=8000:lcm=predicate:random_seed=2668740850:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.76/2.54  % (626038)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2430130942:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.76/2.54  % (626035)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2556837403:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.76/2.54  % (626036)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=763034220:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.76/2.54  % (626038)Refutation not found, incomplete strategy
% 12.76/2.54  % (626038)------------------------------
% 12.76/2.54  % (626038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54  % (626038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54  % (626038)CaDiCaL version: 2.1.3
% 12.76/2.54  % (626038)Termination reason: Refutation not found, incomplete strategy
% 12.76/2.54  % (626038)Time elapsed: 0.004 s
% 12.76/2.54  % (626038)Peak memory usage: 89 MB
% 12.76/2.54  % (626038)Instructions burned: 3 (million)
% 12.76/2.54  % (626040)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1303457091:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.76/2.54  % (626039)Instruction limit reached! 
% 12.76/2.54  % (626039)------------------------------
% 12.76/2.54  % (626039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54  % (626039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54  % (626039)CaDiCaL version: 2.1.3
% 12.76/2.54  % (626039)Termination reason: Instruction limit
% 12.76/2.54  % (626039)Termination phase: Saturation
% 12.76/2.54  % (626039)Time elapsed: 0.069 s
% 12.76/2.54  % (626039)Peak memory usage: 89 MB
% 12.76/2.54  % (626039)Instructions burned: 119 (million)
% 12.76/2.54  % (626041)Instruction limit reached! 
% 12.76/2.54  % (626041)------------------------------
% 12.76/2.54  % (626041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54  % (626041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54  % (626041)CaDiCaL version: 2.1.3
% 12.76/2.54  % (626041)Termination reason: Instruction limit
% 12.76/2.54  % (626041)Termination phase: Saturation
% 12.76/2.54  % (626041)Time elapsed: 0.073 s
% 12.76/2.54  % (626041)Peak memory usage: 91 MB
% 12.76/2.54  % (626041)Instructions burned: 130 (million)
% 12.76/2.54  % (626040)Instruction limit reached! 
% 12.76/2.54  % (626040)------------------------------
% 12.76/2.54  % (626040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54  % (626040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54  % (626040)CaDiCaL version: 2.1.3
% 12.76/2.54  % (626040)Termination reason: Instruction limit
% 12.76/2.54  % (626040)Termination phase: Saturation
% 12.76/2.54  % (626040)Time elapsed: 0.086 s
% 12.76/2.54  % (626040)Peak memory usage: 91 MB
% 12.76/2.54  % (626040)Instructions burned: 140 (million)
% 12.76/2.54  % (626097)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1323650291:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.76/2.54  % (626096)lrs+10_1_sil=8000:sp=occurrence:random_seed=3941522900:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.76/2.54  % (626098)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2569647883:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.76/2.54  % (626038)------------------------------
% 12.76/2.54  % (626038)------------------------------
% 12.76/2.54  % (626097)Instruction limit reached! 
% 12.76/2.54  % (626097)------------------------------
% 12.76/2.54  % (626097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54  % (626097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.84/3.45  % (626097)CaDiCaL version: 2.1.3
% 18.84/3.45  % (626097)Termination reason: Instruction limit
% 18.84/3.45  % (626097)Termination phase: Saturation
% 18.84/3.45  % (626097)Time elapsed: 0.091 s
% 18.84/3.45  % (626097)Peak memory usage: 90 MB
% 18.84/3.45  % (626097)Instructions burned: 157 (million)
% 18.84/3.45  % (626096)Instruction limit reached! 
% 18.84/3.45  % (626096)------------------------------
% 18.84/3.45  % (626096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.84/3.45  % (626096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.84/3.45  % (626096)CaDiCaL version: 2.1.3
% 18.84/3.45  % (626096)Termination reason: Instruction limit
% 18.84/3.45  % (626096)Termination phase: Saturation
% 18.84/3.45  % (626096)Time elapsed: 0.174 s
% 18.84/3.45  % (626096)Peak memory usage: 91 MB
% 18.84/3.45  % (626096)Instructions burned: 285 (million)
% 18.84/3.45  % (626103)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3870867043:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.84/3.45  % (626102)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3185707860:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.84/3.45  % (626098)Instruction limit reached! 
% 18.84/3.45  % (626098)------------------------------
% 18.84/3.45  % (626098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.84/3.45  % (626098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.84/3.45  % (626098)CaDiCaL version: 2.1.3
% 18.84/3.45  % (626098)Termination reason: Instruction limit
% 18.84/3.45  % (626098)Termination phase: Saturation
% 18.84/3.45  % (626098)Time elapsed: 0.191 s
% 18.84/3.45  % (626098)Peak memory usage: 91 MB
% 18.84/3.45  % (626098)Instructions burned: 326 (million)
% 18.84/3.45  % (626103)Instruction limit reached! 
% 18.84/3.45  % (626103)------------------------------
% 18.84/3.45  % (626103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.84/3.45  % (626103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.84/3.45  % (626103)CaDiCaL version: 2.1.3
% 18.84/3.45  % (626103)Termination reason: Instruction limit
% 18.84/3.45  % (626103)Termination phase: Saturation
% 18.84/3.45  % (626103)Time elapsed: 0.086 s
% 18.84/3.45  % (626103)Peak memory usage: 91 MB
% 18.84/3.45  % (626103)Instructions burned: 296 (million)
% 18.84/3.45  % (626105)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4197707433:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.84/3.45  % (626102)Instruction limit reached! 
% 18.84/3.45  % (626102)------------------------------
% 18.84/3.45  % (626102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.84/3.45  % (626102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.84/3.45  % (626102)CaDiCaL version: 2.1.3
% 18.84/3.45  % (626102)Termination reason: Instruction limit
% 18.84/3.45  % (626102)Termination phase: Saturation
% 18.84/3.45  % (626102)Time elapsed: 0.157 s
% 18.84/3.45  % (626102)Peak memory usage: 91 MB
% 18.84/3.45  % (626102)Instructions burned: 249 (million)
% 18.84/3.45  % (626107)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=392065714:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.84/3.45  % (626108)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2058891959:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.84/3.45  % (626108)Instruction limit reached! 
% 18.84/3.45  % (626108)------------------------------
% 18.84/3.45  % (626108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.84/3.45  % (626108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.84/3.45  % (626108)CaDiCaL version: 2.1.3
% 18.84/3.45  % (626108)Termination reason: Instruction limit
% 18.84/3.45  % (626108)Termination phase: Saturation
% 18.84/3.45  % (626108)Time elapsed: 0.032 s
% 18.84/3.45  % (626108)Peak memory usage: 89 MB
% 18.84/3.45  % (626108)Instructions burned: 128 (million)
% 18.84/3.45  % (626107)Instruction limit reached! 
% 18.84/3.45  % (626107)------------------------------
% 18.84/3.45  % (626107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.84/3.45  % (626107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.84/3.45  % (626107)CaDiCaL version: 2.1.3
% 18.84/3.45  % (626107)Termination reason: Instruction limit
% 18.84/3.45  % (626107)Termination phase: Saturation
% 18.84/3.45  % (626107)Time elapsed: 0.069 s
% 34.47/5.69  % (626107)Peak memory usage: 91 MB
% 34.47/5.69  % (626107)Instructions burned: 114 (million)
% 34.47/5.69  % (626111)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2042655056:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 34.47/5.69  % (626113)lrs+10_1_sil=8000:sp=occurrence:random_seed=1924415963:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 34.47/5.69  % (626111)Instruction limit reached! 
% 34.47/5.69  % (626111)------------------------------
% 34.47/5.69  % (626111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.47/5.69  % (626111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.47/5.69  % (626111)CaDiCaL version: 2.1.3
% 34.47/5.69  % (626111)Termination reason: Instruction limit
% 34.47/5.69  % (626111)Termination phase: Saturation
% 34.47/5.69  % (626111)Time elapsed: 0.053 s
% 34.47/5.69  % (626111)Peak memory usage: 89 MB
% 34.47/5.69  % (626111)Instructions burned: 115 (million)
% 34.47/5.69  % (626114)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3092986984:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 34.47/5.69  % (626117)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2876943653:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 34.47/5.69  % (626113)Instruction limit reached! 
% 34.47/5.69  % (626113)------------------------------
% 34.47/5.69  % (626113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.47/5.69  % (626113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.47/5.69  % (626113)CaDiCaL version: 2.1.3
% 34.47/5.69  % (626113)Termination reason: Instruction limit
% 34.47/5.69  % (626113)Termination phase: Saturation
% 34.47/5.69  % (626113)Time elapsed: 0.284 s
% 34.47/5.69  % (626113)Peak memory usage: 97 MB
% 34.47/5.69  % (626113)Instructions burned: 909 (million)
% 34.47/5.69  % (626114)Instruction limit reached! 
% 34.47/5.69  % (626114)------------------------------
% 34.47/5.69  % (626114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.47/5.69  % (626114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.47/5.69  % (626114)CaDiCaL version: 2.1.3
% 34.47/5.69  % (626114)Termination reason: Instruction limit
% 34.47/5.69  % (626114)Termination phase: Saturation
% 34.47/5.69  % (626114)Time elapsed: 0.257 s
% 34.47/5.69  % (626114)Peak memory usage: 93 MB
% 34.47/5.69  % (626114)Instructions burned: 438 (million)
% 34.47/5.69  % (626120)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3800755658:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 34.47/5.69  % (626120)Instruction limit reached! 
% 34.47/5.69  % (626120)------------------------------
% 34.47/5.69  % (626120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.47/5.69  % (626120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.47/5.69  % (626120)CaDiCaL version: 2.1.3
% 34.47/5.69  % (626120)Termination reason: Instruction limit
% 34.47/5.69  % (626120)Termination phase: Saturation
% 34.47/5.69  % (626120)Time elapsed: 0.033 s
% 34.47/5.69  % (626120)Peak memory usage: 90 MB
% 34.47/5.69  % (626120)Instructions burned: 136 (million)
% 34.47/5.69  % (626121)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3540128455:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 34.47/5.69  % (626123)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3163058602:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 34.47/5.69  % (626121)Instruction limit reached! 
% 34.47/5.69  % (626121)------------------------------
% 34.47/5.69  % (626121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.47/5.69  % (626121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.47/5.69  % (626121)CaDiCaL version: 2.1.3
% 34.47/5.69  % (626121)Termination reason: Instruction limit
% 34.47/5.69  % (626121)Termination phase: Saturation
% 34.47/5.69  % (626121)Time elapsed: 0.315 s
% 34.47/5.69  % (626121)Peak memory usage: 92 MB
% 34.47/5.69  % (626121)Instructions burned: 594 (million)
% 34.47/5.69  % (626126)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=856558943:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 34.47/5.69  % (626126)Instruction limit reached! 
% 34.47/5.69  % (626126)------------------------------
% 68.97/10.42  % (626126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.97/10.42  % (626126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.97/10.42  % (626126)CaDiCaL version: 2.1.3
% 68.97/10.42  % (626126)Termination reason: Instruction limit
% 68.97/10.42  % (626126)Termination phase: Saturation
% 68.97/10.42  % (626126)Time elapsed: 0.078 s
% 68.97/10.42  % (626126)Peak memory usage: 91 MB
% 68.97/10.42  % (626126)Instructions burned: 125 (million)
% 68.97/10.42  % (626128)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4242236746:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 68.97/10.42  % (626128)Instruction limit reached! 
% 68.97/10.42  % (626128)------------------------------
% 68.97/10.42  % (626128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.97/10.42  % (626128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.97/10.42  % (626128)CaDiCaL version: 2.1.3
% 68.97/10.42  % (626128)Termination reason: Instruction limit
% 68.97/10.42  % (626128)Termination phase: Saturation
% 68.97/10.42  % (626128)Time elapsed: 0.070 s
% 68.97/10.42  % (626128)Peak memory usage: 91 MB
% 68.97/10.42  % (626128)Instructions burned: 134 (million)
% 68.97/10.42  % (626105)Instruction limit reached! 
% 68.97/10.42  % (626105)------------------------------
% 68.97/10.42  % (626105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.97/10.42  % (626105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.97/10.42  % (626105)CaDiCaL version: 2.1.3
% 68.97/10.42  % (626105)Termination reason: Instruction limit
% 68.97/10.42  % (626105)Termination phase: Saturation
% 68.97/10.42  % (626105)Time elapsed: 1.432 s
% 68.97/10.42  % (626105)Peak memory usage: 143 MB
% 68.97/10.42  % (626105)Instructions burned: 2351 (million)
% 68.97/10.42  % (626130)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2864704313:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 68.97/10.42  % (626130)Refutation not found, incomplete strategy
% 68.97/10.42  % (626130)------------------------------
% 68.97/10.42  % (626130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.97/10.42  % (626130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.97/10.42  % (626130)CaDiCaL version: 2.1.3
% 68.97/10.42  % (626130)Termination reason: Refutation not found, incomplete strategy
% 68.97/10.42  % (626130)Time elapsed: 0.003 s
% 68.97/10.42  % (626130)Peak memory usage: 89 MB
% 68.97/10.42  % (626130)Instructions burned: 3 (million)
% 68.97/10.42  % (626131)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=462759621:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 68.97/10.42  % (626131)Refutation not found, incomplete strategy
% 68.97/10.42  % (626131)------------------------------
% 68.97/10.42  % (626131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.97/10.42  % (626131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.97/10.42  % (626131)CaDiCaL version: 2.1.3
% 68.97/10.42  % (626131)Termination reason: Refutation not found, incomplete strategy
% 68.97/10.42  % (626131)Time elapsed: 0.015 s
% 68.97/10.42  % (626131)Peak memory usage: 89 MB
% 68.97/10.42  % (626131)Instructions burned: 28 (million)
% 68.97/10.42  % (626130)------------------------------
% 68.97/10.42  % (626130)------------------------------
% 68.97/10.42  % (626131)------------------------------
% 68.97/10.42  % (626131)------------------------------
% 68.97/10.42  % (626134)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1955312139:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 68.97/10.42  % (626135)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2324440167:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 68.97/10.42  % (626135)Instruction limit reached! 
% 68.97/10.42  % (626135)------------------------------
% 68.97/10.42  % (626135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.97/10.42  % (626135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.97/10.42  % (626135)CaDiCaL version: 2.1.3
% 68.97/10.42  % (626135)Termination reason: Instruction limit
% 68.97/10.42  % (626135)Termination phase: Saturation
% 68.97/10.42  % (626135)Time elapsed: 0.091 s
% 68.97/10.42  % (626135)Peak memory usage: 91 MB
% 83.86/12.59  % (626135)Instructions burned: 151 (million)
% 83.86/12.59  % (626138)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3876608280:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 83.86/12.59  % (626117)Instruction limit reached! 
% 83.86/12.59  % (626117)------------------------------
% 83.86/12.59  % (626117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.86/12.59  % (626117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.86/12.59  % (626117)CaDiCaL version: 2.1.3
% 83.86/12.59  % (626117)Termination reason: Instruction limit
% 83.86/12.59  % (626117)Termination phase: Saturation
% 83.86/12.59  % (626117)Time elapsed: 2.074 s
% 83.86/12.59  % (626117)Peak memory usage: 137 MB
% 83.86/12.59  % (626117)Instructions burned: 5203 (million)
% 83.86/12.59  % (626140)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1991658445:i=667:av=off:fsr=off_2969 on theBenchmark for (2969ds/667Mi)
% 83.86/12.59  % (626140)Instruction limit reached! 
% 83.86/12.59  % (626140)------------------------------
% 83.86/12.59  % (626140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.86/12.59  % (626140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.86/12.59  % (626140)CaDiCaL version: 2.1.3
% 83.86/12.59  % (626140)Termination reason: Instruction limit
% 83.86/12.59  % (626140)Termination phase: Saturation
% 83.86/12.59  % (626140)Time elapsed: 0.327 s
% 83.86/12.59  % (626140)Peak memory usage: 100 MB
% 83.86/12.59  % (626140)Instructions burned: 669 (million)
% 83.86/12.59  % (626142)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2990475263:s2a=on:i=185:s2at=1.8:fdi=4_2964 on theBenchmark for (2964ds/185Mi)
% 83.86/12.59  % (626142)Instruction limit reached! 
% 83.86/12.59  % (626142)------------------------------
% 83.86/12.59  % (626142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.86/12.59  % (626142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.86/12.59  % (626142)CaDiCaL version: 2.1.3
% 83.86/12.59  % (626142)Termination reason: Instruction limit
% 83.86/12.59  % (626142)Termination phase: Saturation
% 83.86/12.59  % (626142)Time elapsed: 0.087 s
% 83.86/12.59  % (626142)Peak memory usage: 91 MB
% 83.86/12.59  % (626142)Instructions burned: 186 (million)
% 83.86/12.59  % (626144)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=836186976:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2962 on theBenchmark for (2962ds/193Mi)
% 83.86/12.59  % (626144)Instruction limit reached! 
% 83.86/12.59  % (626144)------------------------------
% 83.86/12.59  % (626144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.86/12.59  % (626144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.86/12.59  % (626144)CaDiCaL version: 2.1.3
% 83.86/12.59  % (626144)Termination reason: Instruction limit
% 83.86/12.59  % (626144)Termination phase: Saturation
% 83.86/12.59  % (626144)Time elapsed: 0.112 s
% 83.86/12.59  % (626144)Peak memory usage: 90 MB
% 83.86/12.59  % (626144)Instructions burned: 194 (million)
% 83.86/12.59  % (626146)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1335452195:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2959 on theBenchmark for (2959ds/4850Mi)
% 83.86/12.59  % (626146)Refutation not found, incomplete strategy
% 83.86/12.59  % (626146)------------------------------
% 83.86/12.59  % (626146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.86/12.59  % (626146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.86/12.59  % (626146)CaDiCaL version: 2.1.3
% 83.86/12.59  % (626146)Termination reason: Refutation not found, incomplete strategy
% 83.86/12.59  % (626146)Time elapsed: 0.025 s
% 83.86/12.59  % (626146)Peak memory usage: 89 MB
% 83.86/12.59  % (626146)Instructions burned: 48 (million)
% 83.86/12.59  % (626146)------------------------------
% 83.86/12.59  % (626146)------------------------------
% 83.86/12.59  % (626148)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2041469390:i=12111:sd=1:ss=included_2955 on theBenchmark for (2955ds/12111Mi)
% 83.86/12.59  % (626123)Instruction limit reached! 
% 83.86/12.59  % (626123)------------------------------
% 83.86/12.59  % (626123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.86/12.59  % (626123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.86/12.59  % (626123)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626123)Termination reason: Instruction limit
% 92.41/13.89  % (626123)Termination phase: Saturation
% 92.41/13.89  % (626123)Time elapsed: 3.609 s
% 92.41/13.89  % (626123)Peak memory usage: 165 MB
% 92.41/13.89  % (626123)Instructions burned: 13195 (million)
% 92.41/13.89  % (626150)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4067268834:i=319:kws=precedence:fsr=off_2950 on theBenchmark for (2950ds/319Mi)
% 92.41/13.89  % (626150)Instruction limit reached! 
% 92.41/13.89  % (626150)------------------------------
% 92.41/13.89  % (626150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626150)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626150)Termination reason: Instruction limit
% 92.41/13.89  % (626150)Termination phase: Saturation
% 92.41/13.89  % (626150)Time elapsed: 0.095 s
% 92.41/13.89  % (626150)Peak memory usage: 93 MB
% 92.41/13.89  % (626150)Instructions burned: 323 (million)
% 92.41/13.89  % (626152)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1023592317:i=2064:ep=RST_2948 on theBenchmark for (2948ds/2064Mi)
% 92.41/13.89  % (626134)Instruction limit reached! 
% 92.41/13.89  % (626134)------------------------------
% 92.41/13.89  % (626134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626134)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626134)Termination reason: Instruction limit
% 92.41/13.89  % (626134)Termination phase: Saturation
% 92.41/13.89  % (626134)Time elapsed: 3.249 s
% 92.41/13.89  % (626134)Peak memory usage: 155 MB
% 92.41/13.89  % (626134)Instructions burned: 6061 (million)
% 92.41/13.89  % (626152)Instruction limit reached! 
% 92.41/13.89  % (626152)------------------------------
% 92.41/13.89  % (626152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626152)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626152)Termination reason: Instruction limit
% 92.41/13.89  % (626152)Termination phase: Saturation
% 92.41/13.89  % (626152)Time elapsed: 0.515 s
% 92.41/13.89  % (626152)Peak memory usage: 94 MB
% 92.41/13.89  % (626152)Instructions burned: 2064 (million)
% 92.41/13.89  % (626154)dis-1011_128_sil=32000:random_seed=508783737:i=3706:ep=RST:av=off_2942 on theBenchmark for (2942ds/3706Mi)
% 92.41/13.89  % (626155)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2470175164:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2942 on theBenchmark for (2942ds/757Mi)
% 92.41/13.89  % (626155)Instruction limit reached! 
% 92.41/13.89  % (626155)------------------------------
% 92.41/13.89  % (626155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626155)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626155)Termination reason: Instruction limit
% 92.41/13.89  % (626155)Termination phase: Saturation
% 92.41/13.89  % (626155)Time elapsed: 0.360 s
% 92.41/13.89  % (626155)Peak memory usage: 94 MB
% 92.41/13.89  % (626155)Instructions burned: 757 (million)
% 92.41/13.89  % (626158)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=907446114:i=13913:ss=axioms:sgt=8_2937 on theBenchmark for (2937ds/13913Mi)
% 92.41/13.89  % (626154)Instruction limit reached! 
% 92.41/13.89  % (626154)------------------------------
% 92.41/13.89  % (626154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626154)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626154)Termination reason: Instruction limit
% 92.41/13.89  % (626154)Termination phase: Saturation
% 92.41/13.89  % (626154)Time elapsed: 0.868 s
% 92.41/13.89  % (626154)Peak memory usage: 94 MB
% 92.41/13.89  % (626154)Instructions burned: 3707 (million)
% 92.41/13.89  % (626160)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1431229773:i=9925:aac=none_2932 on theBenchmark for (2932ds/9925Mi)
% 92.41/13.89  % (626160)Instruction limit reached! 
% 92.41/13.89  % (626160)------------------------------
% 92.41/13.89  % (626160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626160)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626160)Termination reason: Instruction limit
% 92.41/13.89  % (626160)Termination phase: Saturation
% 92.41/13.89  % (626160)Time elapsed: 2.878 s
% 92.41/13.89  % (626160)Peak memory usage: 186 MB
% 92.41/13.89  % (626160)Instructions burned: 9929 (million)
% 92.41/13.89  % (626162)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1609980610:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2903 on theBenchmark for (2903ds/2479Mi)
% 92.41/13.89  % (626162)Refutation not found, incomplete strategy
% 92.41/13.89  % (626162)------------------------------
% 92.41/13.89  % (626162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626162)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626162)Termination reason: Refutation not found, incomplete strategy
% 92.41/13.89  % (626162)Time elapsed: 0.003 s
% 92.41/13.89  % (626162)Peak memory usage: 89 MB
% 92.41/13.89  % (626162)Instructions burned: 8 (million)
% 92.41/13.89  % (626162)------------------------------
% 92.41/13.89  % (626162)------------------------------
% 92.41/13.89  % (626164)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1449817391:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2900 on theBenchmark for (2900ds/440Mi)
% 92.41/13.89  % (626164)Instruction limit reached! 
% 92.41/13.89  % (626164)------------------------------
% 92.41/13.89  % (626164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626164)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626164)Termination reason: Instruction limit
% 92.41/13.89  % (626164)Termination phase: Saturation
% 92.41/13.89  % (626164)Time elapsed: 0.132 s
% 92.41/13.89  % (626164)Peak memory usage: 92 MB
% 92.41/13.89  % (626164)Instructions burned: 443 (million)
% 92.41/13.89  % (626166)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=786243685:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2898 on theBenchmark for (2898ds/11145Mi)
% 92.41/13.89  % (626148)Instruction limit reached! 
% 92.41/13.89  % (626148)------------------------------
% 92.41/13.89  % (626148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626148)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626148)Termination reason: Instruction limit
% 92.41/13.89  % (626148)Termination phase: Saturation
% 92.41/13.89  % (626148)Time elapsed: 6.124 s
% 92.41/13.89  % (626148)Peak memory usage: 157 MB
% 92.41/13.89  % (626148)Instructions burned: 12113 (million)
% 92.41/13.89  % (626138)Instruction limit reached! 
% 92.41/13.89  % (626138)------------------------------
% 92.41/13.89  % (626138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626138)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626138)Termination reason: Instruction limit
% 92.41/13.89  % (626138)Termination phase: Saturation
% 92.41/13.89  % (626138)Time elapsed: 7.848 s
% 92.41/13.89  % (626138)Peak memory usage: 195 MB
% 92.41/13.89  % (626138)Instructions burned: 14157 (million)
% 92.41/13.89  % (626168)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2838983015:cts=off:i=3034:av=off:er=known:fsd=on_2893 on theBenchmark for (2893ds/3034Mi)
% 92.41/13.89  % (626169)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2593008522:st=2:s2a=on:i=524:s2at=2:ss=axioms_2893 on theBenchmark for (2893ds/524Mi)
% 92.41/13.89  % (626169)Instruction limit reached! 
% 92.41/13.89  % (626169)------------------------------
% 92.41/13.89  % (626169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626169)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626169)Termination reason: Instruction limit
% 92.41/13.89  % (626169)Termination phase: Saturation
% 92.41/13.89  % (626169)Time elapsed: 0.307 s
% 92.41/13.89  % (626169)Peak memory usage: 94 MB
% 92.41/13.89  % (626169)Instructions burned: 524 (million)
% 92.41/13.89  % (626172)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1547470017:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2888 on theBenchmark for (2888ds/1016Mi)
% 92.41/13.89  % (626172)Instruction limit reached! 
% 92.41/13.89  % (626172)------------------------------
% 92.41/13.89  % (626172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626172)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626172)Termination reason: Instruction limit
% 92.41/13.89  % (626172)Termination phase: Saturation
% 92.41/13.89  % (626172)Time elapsed: 0.592 s
% 92.41/13.89  % (626172)Peak memory usage: 97 MB
% 92.41/13.89  % (626172)Instructions burned: 1017 (million)
% 92.41/13.89  % (626174)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3623805836:i=14123:bd=preordered:ins=4_2881 on theBenchmark for (2881ds/14123Mi)
% 92.41/13.89  % (626168)Instruction limit reached! 
% 92.41/13.89  % (626168)------------------------------
% 92.41/13.89  % (626168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626168)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626168)Termination reason: Instruction limit
% 92.41/13.89  % (626168)Termination phase: Saturation
% 92.41/13.89  % (626168)Time elapsed: 1.584 s
% 92.41/13.89  % (626168)Peak memory usage: 142 MB
% 92.41/13.89  % (626168)Instructions burned: 3036 (million)
% 92.41/13.89  % (626176)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=368643452:i=5781:kws=precedence:bd=all:rawr=on_2875 on theBenchmark for (2875ds/5781Mi)
% 92.41/13.89  % (626037)First to succeed.
% 92.41/13.89  % (626037)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-625925"
% 92.41/13.89  % (626158)Instruction limit reached! 
% 92.41/13.89  % (626158)------------------------------
% 92.41/13.89  % (626158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.41/13.89  % (626158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.41/13.89  % (626158)CaDiCaL version: 2.1.3
% 92.41/13.89  % (626158)Termination reason: Instruction limit
% 92.41/13.89  % (626158)Termination phase: Saturation
% 92.41/13.89  % (626158)Time elapsed: 6.713 s
% 92.41/13.89  % (626158)Peak memory usage: 159 MB
% 92.41/13.89  % (626158)Instructions burned: 13914 (million)
% 92.41/13.89  % (626037)Refutation found. Thanks to Tanya!
% 92.41/13.89  % SZS status Theorem for theBenchmark
% 92.41/13.89  % SZS output start Proof for theBenchmark
% See solution above
% 93.81/14.08  % (626037)------------------------------
% 93.81/14.08  % (626037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.81/14.08  % (626037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.81/14.08  % (626037)CaDiCaL version: 2.1.3
% 93.81/14.08  % (626037)Termination reason: Refutation
% 93.81/14.08  % (626037)Time elapsed: 12.734 s
% 93.81/14.08  % (626037)Peak memory usage: 243 MB
% 93.81/14.08  % (626037)Instructions burned: 23586 (million)
% 93.81/14.08  % (626037)------------------------------
% 93.81/14.08  % (626037)------------------------------
% 93.81/14.08  % (625925)Success in time 13.148 s
% 93.81/14.08  % Vampire exiting
%------------------------------------------------------------------------------