%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM272_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:39:57 AM UTC 2026
% Result : Theorem 19.07s 3.92s
% Output : Refutation 23.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 85
% Syntax : Number of formulae : 534 ( 86 unt; 0 typ; 68 def)
% Number of atoms : 1571 ( 527 equ)
% Maximal formula atoms : 36 ( 2 avg)
% Number of connectives : 1709 ( 672 ~; 782 |; 183 &)
% ( 63 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 162 ( 160 usr; 64 prp; 0-5 aty)
% Number of functors : 506 ( 506 usr; 38 con; 0-4 aty)
% Number of variables : 467 ( 0 sgn 327 !; 140 ?; 467 :)
% 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 ).
tff(func_def_503,type,
sK451: vBinOpT ).
tff(func_def_504,type,
sK452: vAType ).
tff(func_def_505,type,
sK453: vExp ).
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,
sP454: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_70,type,
sP455: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_71,type,
sP456: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_72,type,
sP457: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_73,type,
sP458: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_74,type,
sP459: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_75,type,
sP460: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_76,type,
sP461: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_77,type,
sP462: ( vATMap * vATMap * vQID * vATMap ) > $o ).
tff(pred_def_78,type,
sP463: ( vQuestionnaire * vATMap * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_79,type,
sP464: ( vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_80,type,
sP465: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_81,type,
sP466: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_82,type,
sP467: ( vQuestionnaire * vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_83,type,
sP468: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_84,type,
sP469: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_85,type,
sP470: ( vQuestionnaire * vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_86,type,
sP471: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_87,type,
sP472: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_88,type,
sP473: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_89,type,
sP474: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_90,type,
sP475: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_91,type,
sP476: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_92,type,
sP477: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_93,type,
sP478: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_94,type,
sP479: ( vATMap * vATMap * vQuestionnaire * vQuestionnaire * vATMap ) > $o ).
tff(pred_def_95,type,
sP480: ( vATMap * vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_96,type,
sP481: ( vATMap * vATMap * vATMap * vQuestionnaire * vQuestionnaire ) > $o ).
tff(pred_def_97,type,
sP482: ( vATMap * vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(f22,axiom,
vYesNo != vNumber,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-YesNo-Number') ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p','DIFF-binop-unop') ).
tff(f61,axiom,
! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noAType-someAType') ).
tff(f69,axiom,
! [X0: vUnOpT] : ( X0 = vnotop ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-UnOpT') ).
tff(f71,axiom,
! [X0: vExp,X1: vExp] :
( ( vsomeExp(X0) = vsomeExp(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-someExp') ).
tff(f138,axiom,
! [X0: vAType] : ( vgetAType(vsomeAType(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getAType-0') ).
tff(f143,axiom,
! [X0: vExp] : ( vgetExp(vsomeExp(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getExp-0') ).
tff(f184,axiom,
! [X0: vOptAType] :
( visSomeAType(X0)
=> ? [X1: vAType] : ( X0 = vsomeAType(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeAType-true-INV') ).
tff(f226,axiom,
! [X0: vOptExp] :
( visSomeExp(X0)
=> ? [X1: vExp] : ( X0 = vsomeExp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeExp-true-INV') ).
tff(f255,axiom,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( ( vexpIsValue(X0)
& ~ vexpIsValue(X1)
& visSomeExp(vreduceExp(X1,X2)) )
=> ( vreduceExp(vbinop(X0,X3,X1),X2) = vsomeExp(vbinop(X0,X3,vgetExp(vreduceExp(X1,X2)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduceExp-4') ).
tff(f320,axiom,
! [X0: vATMap,X1: vExp,X2: vExp,X3: vBinOpT] :
( ~ ( visSomeAType(vecheck(X0,X1))
& visSomeAType(vecheck(X0,X2)) )
=> ( vecheck(X0,vbinop(X1,X3,X2)) = vnoAType ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','echeck-5') ).
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/sandbox2/benchmark/theBenchmark.p','echeck-INV') ).
tff(f361,axiom,
! [X0: vAnsMap,X1: vAType,X2: vExp] :
( ( ( vecheck(vtypeAM(X0),ve2) = vsomeAType(X1) )
& ( vreduceExp(ve2,X0) = vsomeExp(X2) ) )
=> ( vecheck(vtypeAM(X0),X2) = vsomeAType(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduceExpPreservation-binop-IH1') ).
tff(f362,conjecture,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( visSomeExp(vreduceExp(ve2,X0))
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) )
=> ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True') ).
tff(f363,negated_conjecture,
~ ! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( visSomeExp(vreduceExp(ve2,X0))
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) )
=> ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) ) ),
inference(negated_conjecture,[status(cth)],[f362]) ).
tff(f377,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(f390,plain,
! [X0: vExp,X1: vExp] :
( ( X0 = X1 )
| ( vsomeExp(X1) != vsomeExp(X0) ) ),
inference(ennf_transformation,[],[f71]) ).
tff(f407,plain,
! [X0: vOptAType] :
( ? [X1: vAType] : ( X0 = vsomeAType(X1) )
| ~ visSomeAType(X0) ),
inference(ennf_transformation,[],[f184]) ).
tff(f418,plain,
! [X0: vOptExp] :
( ? [X1: vExp] : ( X0 = vsomeExp(X1) )
| ~ visSomeExp(X0) ),
inference(ennf_transformation,[],[f226]) ).
tff(f431,plain,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( ( vreduceExp(vbinop(X0,X3,X1),X2) = vsomeExp(vbinop(X0,X3,vgetExp(vreduceExp(X1,X2)))) )
| ~ vexpIsValue(X0)
| vexpIsValue(X1)
| ~ visSomeExp(vreduceExp(X1,X2)) ),
inference(ennf_transformation,[],[f255]) ).
tff(f432,plain,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( ( vreduceExp(vbinop(X0,X3,X1),X2) = vsomeExp(vbinop(X0,X3,vgetExp(vreduceExp(X1,X2)))) )
| ~ vexpIsValue(X0)
| vexpIsValue(X1)
| ~ visSomeExp(vreduceExp(X1,X2)) ),
inference(flattening,[],[f431]) ).
tff(f471,plain,
! [X0: vATMap,X1: vExp,X2: vExp,X3: vBinOpT] :
( ( vecheck(X0,vbinop(X1,X3,X2)) = vnoAType )
| ( visSomeAType(vecheck(X0,X1))
& visSomeAType(vecheck(X0,X2)) ) ),
inference(ennf_transformation,[],[f320]) ).
tff(f474,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(f524,plain,
! [X0: vAnsMap,X1: vAType,X2: vExp] :
( ( vecheck(vtypeAM(X0),X2) = vsomeAType(X1) )
| ( vsomeAType(X1) != vecheck(vtypeAM(X0),ve2) )
| ( vsomeExp(X2) != vreduceExp(ve2,X0) ) ),
inference(ennf_transformation,[],[f361]) ).
tff(f525,plain,
! [X0: vAnsMap,X1: vAType,X2: vExp] :
( ( vecheck(vtypeAM(X0),X2) = vsomeAType(X1) )
| ( vsomeAType(X1) != vecheck(vtypeAM(X0),ve2) )
| ( vsomeExp(X2) != vreduceExp(ve2,X0) ) ),
inference(flattening,[],[f524]) ).
tff(f526,plain,
? [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( vsomeAType(X2) != vecheck(vtypeAM(X0),X3) )
& visSomeExp(vreduceExp(ve2,X0))
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) ),
inference(ennf_transformation,[],[f363]) ).
tff(f527,plain,
? [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( vsomeAType(X2) != vecheck(vtypeAM(X0),X3) )
& visSomeExp(vreduceExp(ve2,X0))
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) ),
inference(flattening,[],[f526]) ).
tff(f592,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(f593,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(f594,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(f595,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(f596,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(f597,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,[],[f474,f596,f595,f594,f593,f592]) ).
tff(f626,plain,
! [X0: vOptAType] :
( ( vsomeAType(sK142(X0)) = X0 )
| ~ visSomeAType(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK142]),skolemize(X1,sK142(X0))],[f407]) ).
tff(f645,plain,
! [X0: vOptExp] :
( ( vsomeExp(sK193(X0)) = X0 )
| ~ visSomeExp(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK193]),skolemize(X1,sK193(X0))],[f418]) ).
tff(f803,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,[],[f596]) ).
tff(f804,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,[],[f803]) ).
tff(f805,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))],[f804]) ).
tff(f806,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,[],[f595]) ).
tff(f807,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,[],[f806]) ).
tff(f808,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))],[f807]) ).
tff(f809,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,[],[f594]) ).
tff(f810,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,[],[f809]) ).
tff(f811,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))],[f810]) ).
tff(f812,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,[],[f593]) ).
tff(f813,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,[],[f812]) ).
tff(f814,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))],[f813]) ).
tff(f815,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,[],[f592]) ).
tff(f816,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,[],[f815]) ).
tff(f817,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))],[f816]) ).
tff(f818,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))],[f597]) ).
tff(f824,plain,
( ( vsomeAType(sK452) != vecheck(vtypeAM(sK450),sK453) )
& visSomeExp(vreduceExp(ve2,sK450))
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vsomeAType(sK452) = vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
& ( vreduceExp(vbinop(ve1,sK451,ve2),sK450) = vsomeExp(sK453) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK450,sK451,sK452,sK453]),skolemize(X0,sK450),skolemize(X1,sK451),skolemize(X2,sK452),skolemize(X3,sK453)],[f527]) ).
tff(f856,plain,
vYesNo != vNumber,
inference(cnf_transformation,[],[f22]) ).
tff(f862,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,[],[f377]) ).
tff(f863,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,[],[f377]) ).
tff(f864,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,[],[f377]) ).
tff(f868,plain,
! [X2: vBinOpT,X3: vExp,X0: vAval,X1: vExp] : ( vconstant(X0) != vbinop(X1,X2,X3) ),
inference(cnf_transformation,[],[f31]) ).
tff(f870,plain,
! [X2: vBinOpT,X3: vExp,X0: vQID,X1: vExp] : ( vqvar(X0) != vbinop(X1,X2,X3) ),
inference(cnf_transformation,[],[f33]) ).
tff(f872,plain,
! [X2: vExp,X3: vExp,X0: vExp,X1: vUnOpT,X4: vBinOpT] : ( vbinop(X3,X4,X0) != vunop(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
tff(f902,plain,
! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f910,plain,
! [X0: vUnOpT] : ( vnotop = X0 ),
inference(cnf_transformation,[],[f69]) ).
tff(f912,plain,
! [X0: vExp,X1: vExp] :
( ( X0 = X1 )
| ( vsomeExp(X1) != vsomeExp(X0) ) ),
inference(cnf_transformation,[],[f390]) ).
tff(f989,plain,
! [X0: vAType] : ( vgetAType(vsomeAType(X0)) = X0 ),
inference(cnf_transformation,[],[f138]) ).
tff(f994,plain,
! [X0: vExp] : ( vgetExp(vsomeExp(X0)) = X0 ),
inference(cnf_transformation,[],[f143]) ).
tff(f1156,plain,
! [X0: vOptAType] :
( ( vsomeAType(sK142(X0)) = X0 )
| ~ visSomeAType(X0) ),
inference(cnf_transformation,[],[f626]) ).
tff(f1257,plain,
! [X0: vOptExp] :
( ( vsomeExp(sK193(X0)) = X0 )
| ~ visSomeExp(X0) ),
inference(cnf_transformation,[],[f645]) ).
tff(f1428,plain,
! [X2: vAnsMap,X3: vBinOpT,X0: vExp,X1: vExp] :
( ( vreduceExp(vbinop(X0,X3,X1),X2) = vsomeExp(vbinop(X0,X3,vgetExp(vreduceExp(X1,X2)))) )
| ~ vexpIsValue(X0)
| vexpIsValue(X1)
| ~ visSomeExp(vreduceExp(X1,X2)) ),
inference(cnf_transformation,[],[f432]) ).
tff(f1835,plain,
! [X2: vExp,X3: vBinOpT,X0: vATMap,X1: vExp] :
( ( vnoAType = vecheck(X0,vbinop(X1,X3,X2)) )
| visSomeAType(vecheck(X0,X2)) ),
inference(cnf_transformation,[],[f471]) ).
tff(f1836,plain,
! [X2: vExp,X3: vBinOpT,X0: vATMap,X1: vExp] :
( ( vnoAType = vecheck(X0,vbinop(X1,X3,X2)) )
| visSomeAType(vecheck(X0,X1)) ),
inference(cnf_transformation,[],[f471]) ).
tff(f1840,plain,
! [X0: vATMap,X1: vExp] :
( ( vqvar(sK413(X0,X1)) = X1 )
| ~ sP58(X0,X1) ),
inference(cnf_transformation,[],[f805]) ).
tff(f1843,plain,
! [X0: vATMap,X1: vExp] :
( ( vunop(sK415(X0,X1),sK416(X0,X1)) = X1 )
| ~ sP57(X0,X1) ),
inference(cnf_transformation,[],[f808]) ).
tff(f1847,plain,
! [X0: vATMap,X1: vExp] :
( ( vnoAType = vecheck(X0,X1) )
| ~ sP56(X0,X1) ),
inference(cnf_transformation,[],[f811]) ).
tff(f1848,plain,
! [X0: vATMap,X1: vExp] :
( ( vunop(sK419(X0,X1),sK420(X0,X1)) = X1 )
| ~ sP56(X0,X1) ),
inference(cnf_transformation,[],[f811]) ).
tff(f1852,plain,
! [X0: vATMap,X1: vExp] :
( ( vnoAType = vecheck(X0,X1) )
| ~ sP55(X0,X1) ),
inference(cnf_transformation,[],[f814]) ).
tff(f1853,plain,
! [X0: vATMap,X1: vExp] :
( ( vbinop(sK425(X0,X1),sK428(X0,X1),sK427(X0,X1)) = X1 )
| ~ sP55(X0,X1) ),
inference(cnf_transformation,[],[f814]) ).
tff(f1854,plain,
! [X0: vATMap,X1: vExp] :
( ( sK423(X0,X1) = X0 )
| ~ sP55(X0,X1) ),
inference(cnf_transformation,[],[f814]) ).
tff(f1855,plain,
! [X0: vATMap,X1: vExp] :
( ~ visSomeAType(sK424(X0,X1))
| ~ visSomeAType(sK426(X0,X1))
| ~ sP55(X0,X1) ),
inference(cnf_transformation,[],[f814]) ).
tff(f1856,plain,
! [X0: vATMap,X1: vExp] :
( ( sK426(X0,X1) = vecheck(sK423(X0,X1),sK427(X0,X1)) )
| ~ sP55(X0,X1) ),
inference(cnf_transformation,[],[f814]) ).
tff(f1857,plain,
! [X0: vATMap,X1: vExp] :
( ( sK424(X0,X1) = vecheck(sK423(X0,X1),sK425(X0,X1)) )
| ~ sP55(X0,X1) ),
inference(cnf_transformation,[],[f814]) ).
tff(f1858,plain,
! [X0: vATMap,X1: vExp] :
( ( vecheck(X0,X1) = vcheckBinOp(sK434(X0,X1),vgetAType(sK430(X0,X1)),vgetAType(sK432(X0,X1))) )
| ~ sP54(X0,X1) ),
inference(cnf_transformation,[],[f817]) ).
tff(f1859,plain,
! [X0: vATMap,X1: vExp] :
( ( vbinop(sK431(X0,X1),sK434(X0,X1),sK433(X0,X1)) = X1 )
| ~ sP54(X0,X1) ),
inference(cnf_transformation,[],[f817]) ).
tff(f1860,plain,
! [X0: vATMap,X1: vExp] :
( ( sK429(X0,X1) = X0 )
| ~ sP54(X0,X1) ),
inference(cnf_transformation,[],[f817]) ).
tff(f1863,plain,
! [X0: vATMap,X1: vExp] :
( ( sK432(X0,X1) = vecheck(sK429(X0,X1),sK433(X0,X1)) )
| ~ sP54(X0,X1) ),
inference(cnf_transformation,[],[f817]) ).
tff(f1864,plain,
! [X0: vATMap,X1: vExp] :
( ( sK430(X0,X1) = vecheck(sK429(X0,X1),sK431(X0,X1)) )
| ~ sP54(X0,X1) ),
inference(cnf_transformation,[],[f817]) ).
tff(f1869,plain,
! [X0: vATMap,X1: vExp] :
( ( vsomeAType(vYesNo) = vecheck(X0,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,[],[f818]) ).
tff(f1875,plain,
! [X0: vATMap,X1: vExp] :
( ( vconstant(vB(sK436(X0,X1))) = X1 )
| ( vsomeAType(vNumber) = vecheck(X0,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,[],[f818]) ).
tff(f1878,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,[],[f818]) ).
tff(f1929,plain,
! [X2: vExp,X0: vAnsMap,X1: vAType] :
( ( vsomeAType(X1) = vecheck(vtypeAM(X0),X2) )
| ( vsomeAType(X1) != vecheck(vtypeAM(X0),ve2) )
| ( vsomeExp(X2) != vreduceExp(ve2,X0) ) ),
inference(cnf_transformation,[],[f525]) ).
tff(f1930,plain,
vreduceExp(vbinop(ve1,sK451,ve2),sK450) = vsomeExp(sK453),
inference(cnf_transformation,[],[f824]) ).
tff(f1931,plain,
vsomeAType(sK452) = vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)),
inference(cnf_transformation,[],[f824]) ).
tff(f1932,plain,
vexpIsValue(ve1),
inference(cnf_transformation,[],[f824]) ).
tff(f1933,plain,
~ vexpIsValue(ve2),
inference(cnf_transformation,[],[f824]) ).
tff(f1934,plain,
visSomeExp(vreduceExp(ve2,sK450)),
inference(cnf_transformation,[],[f824]) ).
tff(f1935,plain,
vsomeAType(sK452) != vecheck(vtypeAM(sK450),sK453),
inference(cnf_transformation,[],[f824]) ).
tff(f2058,definition,
( spl483_1
<=> ( vreduceExp(vbinop(ve1,sK451,ve2),sK450) = vsomeExp(sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_1])],[avatar_definition]) ).
tff(f2060,plain,
( ( vreduceExp(vbinop(ve1,sK451,ve2),sK450) = vsomeExp(sK453) )
| ~ spl483_1 ),
inference(avatar_component_clause,[],[f2058]) ).
tff(f2061,plain,
spl483_1,
inference(avatar_split_clause,[],[f1930,f2058]) ).
tff(f2238,definition,
( spl483_2
<=> ( vsomeAType(sK452) = vecheck(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_2])],[avatar_definition]) ).
tff(f2240,plain,
( ( vsomeAType(sK452) != vecheck(vtypeAM(sK450),sK453) )
| spl483_2 ),
inference(avatar_component_clause,[],[f2238]) ).
tff(f2241,plain,
~ spl483_2,
inference(avatar_split_clause,[],[f1935,f2238]) ).
tff(f2279,definition,
( spl483_3
<=> vexpIsValue(ve1) ),
introduced(definition,[new_symbols(definition,[spl483_3])],[avatar_definition]) ).
tff(f2281,plain,
( vexpIsValue(ve1)
| ~ spl483_3 ),
inference(avatar_component_clause,[],[f2279]) ).
tff(f2282,plain,
spl483_3,
inference(avatar_split_clause,[],[f1932,f2279]) ).
tff(f2284,definition,
( spl483_4
<=> visSomeExp(vreduceExp(ve2,sK450)) ),
introduced(definition,[new_symbols(definition,[spl483_4])],[avatar_definition]) ).
tff(f2286,plain,
( visSomeExp(vreduceExp(ve2,sK450))
| ~ spl483_4 ),
inference(avatar_component_clause,[],[f2284]) ).
tff(f2287,plain,
spl483_4,
inference(avatar_split_clause,[],[f1934,f2284]) ).
tff(f2289,definition,
( spl483_5
<=> ( vsomeAType(sK452) = vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ) ),
introduced(definition,[new_symbols(definition,[spl483_5])],[avatar_definition]) ).
tff(f2291,plain,
( ( vsomeAType(sK452) = vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_5 ),
inference(avatar_component_clause,[],[f2289]) ).
tff(f2292,plain,
spl483_5,
inference(avatar_split_clause,[],[f1931,f2289]) ).
tff(f2294,definition,
( spl483_6
<=> vexpIsValue(ve2) ),
introduced(definition,[new_symbols(definition,[spl483_6])],[avatar_definition]) ).
tff(f2296,plain,
( ~ vexpIsValue(ve2)
| spl483_6 ),
inference(avatar_component_clause,[],[f2294]) ).
tff(f2297,plain,
~ spl483_6,
inference(avatar_split_clause,[],[f1933,f2294]) ).
tff(f2335,plain,
( ( vnoAType = vsomeAType(sK452) )
| visSomeAType(vecheck(vtypeAM(sK450),ve2))
| ~ spl483_5 ),
inference(superposition,[],[f1835,f2291]) ).
tff(f2336,plain,
( ( vnoAType = vsomeAType(sK452) )
| visSomeAType(vecheck(vtypeAM(sK450),ve1))
| ~ spl483_5 ),
inference(superposition,[],[f1836,f2291]) ).
tff(f2348,plain,
( ( vnoAType = vsomeAType(sK452) )
| ~ sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(superposition,[],[f1847,f2291]) ).
tff(f2349,plain,
( ( vnoAType = vsomeAType(sK452) )
| ~ sP55(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(superposition,[],[f1852,f2291]) ).
tff(f2359,plain,
( ( vsomeAType(vYesNo) = vsomeAType(sK452) )
| ( vbinop(ve1,sK451,ve2) = vconstant(vNum(sK437(vtypeAM(sK450),vbinop(ve1,sK451,ve2)))) )
| ( vbinop(ve1,sK451,ve2) = vconstant(vT(sK439(vtypeAM(sK450),vbinop(ve1,sK451,ve2)))) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP55(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(superposition,[],[f1869,f2291]) ).
tff(f2367,plain,
( ( vsomeAType(vNumber) = vsomeAType(sK452) )
| ( vbinop(ve1,sK451,ve2) = vconstant(vB(sK436(vtypeAM(sK450),vbinop(ve1,sK451,ve2)))) )
| ( vbinop(ve1,sK451,ve2) = vconstant(vT(sK439(vtypeAM(sK450),vbinop(ve1,sK451,ve2)))) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP55(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(superposition,[],[f1875,f2291]) ).
tff(f2386,plain,
( ( vsomeAType(vNumber) = vsomeAType(sK452) )
| ( vbinop(ve1,sK451,ve2) = vconstant(vB(sK436(vtypeAM(sK450),vbinop(ve1,sK451,ve2)))) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP55(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2367,f868]) ).
tff(f2391,plain,
( ( vsomeAType(vYesNo) = vsomeAType(sK452) )
| ( vbinop(ve1,sK451,ve2) = vconstant(vT(sK439(vtypeAM(sK450),vbinop(ve1,sK451,ve2)))) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP55(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2359,f868]) ).
tff(f2396,plain,
( ~ sP55(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2349,f902]) ).
tff(f2397,plain,
( ~ sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2348,f902]) ).
tff(f2404,plain,
( visSomeAType(vecheck(vtypeAM(sK450),ve1))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2336,f902]) ).
tff(f2405,plain,
( visSomeAType(vecheck(vtypeAM(sK450),ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2335,f902]) ).
tff(f2436,plain,
( ( vsomeAType(vNumber) = vsomeAType(sK452) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP55(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2386,f868]) ).
tff(f2437,plain,
( ( vsomeAType(vYesNo) = vsomeAType(sK452) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP55(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2391,f868]) ).
tff(f2485,plain,
( ( vsomeAType(vNumber) = vsomeAType(sK452) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2436,f2396]) ).
tff(f2486,plain,
( ( vsomeAType(vYesNo) = vsomeAType(sK452) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP56(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2437,f2396]) ).
tff(f2528,plain,
( ( vsomeAType(vNumber) = vsomeAType(sK452) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2485,f2397]) ).
tff(f2529,plain,
( ( vsomeAType(vYesNo) = vsomeAType(sK452) )
| sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5 ),
inference(forward_subsumption_resolution,[],[f2486,f2397]) ).
tff(f2557,plain,
( ! [X0: vExp,X1: vBinOpT] :
( ( vreduceExp(vbinop(X0,X1,ve2),sK450) = vsomeExp(vbinop(X0,X1,vgetExp(vreduceExp(ve2,sK450)))) )
| ~ vexpIsValue(X0)
| vexpIsValue(ve2) )
| ~ spl483_4 ),
inference(resolution,[],[f2286,f1428]) ).
tff(f2570,plain,
( ( vreduceExp(ve2,sK450) = vsomeExp(sK193(vreduceExp(ve2,sK450))) )
| ~ spl483_4 ),
inference(resolution,[],[f2286,f1257]) ).
tff(f2590,plain,
( ! [X0: vExp,X1: vBinOpT] :
( ( vreduceExp(vbinop(X0,X1,ve2),sK450) = vsomeExp(vbinop(X0,X1,vgetExp(vreduceExp(ve2,sK450)))) )
| ~ vexpIsValue(X0) )
| ~ spl483_4
| spl483_6 ),
inference(forward_subsumption_resolution,[],[f2557,f2296]) ).
tff(f2717,definition,
( spl483_15
<=> visSomeAType(vecheck(vtypeAM(sK450),ve2)) ),
introduced(definition,[new_symbols(definition,[spl483_15])],[avatar_definition]) ).
tff(f2719,plain,
( visSomeAType(vecheck(vtypeAM(sK450),ve2))
| ~ spl483_15 ),
inference(avatar_component_clause,[],[f2717]) ).
tff(f2720,plain,
( spl483_15
| ~ spl483_5 ),
inference(avatar_split_clause,[],[f2405,f2289,f2717]) ).
tff(f2724,plain,
( ( vecheck(vtypeAM(sK450),ve2) = vsomeAType(sK142(vecheck(vtypeAM(sK450),ve2))) )
| ~ spl483_15 ),
inference(resolution,[],[f2719,f1156]) ).
tff(f2764,definition,
( spl483_16
<=> visSomeAType(vecheck(vtypeAM(sK450),ve1)) ),
introduced(definition,[new_symbols(definition,[spl483_16])],[avatar_definition]) ).
tff(f2766,plain,
( visSomeAType(vecheck(vtypeAM(sK450),ve1))
| ~ spl483_16 ),
inference(avatar_component_clause,[],[f2764]) ).
tff(f2767,plain,
( spl483_16
| ~ spl483_5 ),
inference(avatar_split_clause,[],[f2404,f2289,f2764]) ).
tff(f3036,definition,
( spl483_27
<=> ( vecheck(vtypeAM(sK450),ve2) = vsomeAType(sK142(vecheck(vtypeAM(sK450),ve2))) ) ),
introduced(definition,[new_symbols(definition,[spl483_27])],[avatar_definition]) ).
tff(f3038,plain,
( ( vecheck(vtypeAM(sK450),ve2) = vsomeAType(sK142(vecheck(vtypeAM(sK450),ve2))) )
| ~ spl483_27 ),
inference(avatar_component_clause,[],[f3036]) ).
tff(f3039,plain,
( spl483_27
| ~ spl483_15 ),
inference(avatar_split_clause,[],[f2724,f2717,f3036]) ).
tff(f4175,definition,
( spl483_66
<=> ! [X0: vExp,X1: vBinOpT] :
( ( vreduceExp(vbinop(X0,X1,ve2),sK450) = vsomeExp(vbinop(X0,X1,vgetExp(vreduceExp(ve2,sK450)))) )
| ~ vexpIsValue(X0) ) ),
introduced(definition,[new_symbols(definition,[spl483_66])],[avatar_definition]) ).
tff(f4176,plain,
( ! [X0: vExp,X1: vBinOpT] :
( ( vreduceExp(vbinop(X0,X1,ve2),sK450) = vsomeExp(vbinop(X0,X1,vgetExp(vreduceExp(ve2,sK450)))) )
| ~ vexpIsValue(X0) )
| ~ spl483_66 ),
inference(avatar_component_clause,[],[f4175]) ).
tff(f4177,plain,
( spl483_66
| ~ spl483_4
| spl483_6 ),
inference(avatar_split_clause,[],[f2590,f2294,f2284,f4175]) ).
tff(f4191,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vsomeExp(X2) != vreduceExp(vbinop(X0,X1,ve2),sK450) )
| ( vbinop(X0,X1,vgetExp(vreduceExp(ve2,sK450))) = X2 )
| ~ vexpIsValue(X0) )
| ~ spl483_66 ),
inference(superposition,[],[f912,f4176]) ).
tff(f4292,plain,
( ! [X0: vAnsMap,X1: vExp] :
( ( vecheck(vtypeAM(X0),ve2) != vecheck(vtypeAM(sK450),ve2) )
| ( vecheck(vtypeAM(X0),X1) = vecheck(vtypeAM(sK450),ve2) )
| ( vsomeExp(X1) != vreduceExp(ve2,X0) ) )
| ~ spl483_27 ),
inference(superposition,[],[f1929,f3038]) ).
tff(f4396,definition,
( spl483_71
<=> ( vreduceExp(ve2,sK450) = vsomeExp(sK193(vreduceExp(ve2,sK450))) ) ),
introduced(definition,[new_symbols(definition,[spl483_71])],[avatar_definition]) ).
tff(f4398,plain,
( ( vreduceExp(ve2,sK450) = vsomeExp(sK193(vreduceExp(ve2,sK450))) )
| ~ spl483_71 ),
inference(avatar_component_clause,[],[f4396]) ).
tff(f4399,plain,
( spl483_71
| ~ spl483_4 ),
inference(avatar_split_clause,[],[f2570,f2284,f4396]) ).
tff(f4411,plain,
( ( vgetExp(vreduceExp(ve2,sK450)) = sK193(vreduceExp(ve2,sK450)) )
| ~ spl483_71 ),
inference(superposition,[],[f994,f4398]) ).
tff(f5207,definition,
( spl483_88
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vsomeExp(X2) != vreduceExp(vbinop(X0,X1,ve2),sK450) )
| ( vbinop(X0,X1,vgetExp(vreduceExp(ve2,sK450))) = X2 )
| ~ vexpIsValue(X0) ) ),
introduced(definition,[new_symbols(definition,[spl483_88])],[avatar_definition]) ).
tff(f5208,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vsomeExp(X2) != vreduceExp(vbinop(X0,X1,ve2),sK450) )
| ( vbinop(X0,X1,vgetExp(vreduceExp(ve2,sK450))) = X2 )
| ~ vexpIsValue(X0) )
| ~ spl483_88 ),
inference(avatar_component_clause,[],[f5207]) ).
tff(f5209,plain,
( spl483_88
| ~ spl483_66 ),
inference(avatar_split_clause,[],[f4191,f4175,f5207]) ).
tff(f5234,plain,
( ! [X0: vExp] :
( ( vsomeExp(X0) != vsomeExp(sK453) )
| ( vbinop(ve1,sK451,vgetExp(vreduceExp(ve2,sK450))) = X0 )
| ~ vexpIsValue(ve1) )
| ~ spl483_1
| ~ spl483_88 ),
inference(superposition,[],[f5208,f2060]) ).
tff(f5248,plain,
( ! [X0: vExp] :
( ( vsomeExp(X0) != vsomeExp(sK453) )
| ( vbinop(ve1,sK451,vgetExp(vreduceExp(ve2,sK450))) = X0 ) )
| ~ spl483_1
| ~ spl483_3
| ~ spl483_88 ),
inference(forward_subsumption_resolution,[],[f5234,f2281]) ).
tff(f5270,definition,
( spl483_90
<=> sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ),
introduced(definition,[new_symbols(definition,[spl483_90])],[avatar_definition]) ).
tff(f5272,plain,
( sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_90 ),
inference(avatar_component_clause,[],[f5270]) ).
tff(f5274,definition,
( spl483_91
<=> sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ),
introduced(definition,[new_symbols(definition,[spl483_91])],[avatar_definition]) ).
tff(f5276,plain,
( sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_91 ),
inference(avatar_component_clause,[],[f5274]) ).
tff(f5278,definition,
( spl483_92
<=> sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ),
introduced(definition,[new_symbols(definition,[spl483_92])],[avatar_definition]) ).
tff(f5279,plain,
( ~ sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| spl483_92 ),
inference(avatar_component_clause,[],[f5278]) ).
tff(f5280,plain,
( sP58(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_92 ),
inference(avatar_component_clause,[],[f5278]) ).
tff(f5282,definition,
( spl483_93
<=> ( vsomeAType(vYesNo) = vsomeAType(sK452) ) ),
introduced(definition,[new_symbols(definition,[spl483_93])],[avatar_definition]) ).
tff(f5284,plain,
( ( vsomeAType(vYesNo) = vsomeAType(sK452) )
| ~ spl483_93 ),
inference(avatar_component_clause,[],[f5282]) ).
tff(f5285,plain,
( spl483_90
| spl483_91
| spl483_92
| spl483_93
| ~ spl483_5 ),
inference(avatar_split_clause,[],[f2529,f2289,f5282,f5278,f5274,f5270]) ).
tff(f5287,plain,
( ( vbinop(ve1,sK451,ve2) = vqvar(sK413(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ spl483_92 ),
inference(resolution,[],[f5280,f1840]) ).
tff(f5292,plain,
( $false
| ~ spl483_92 ),
inference(forward_subsumption_resolution,[],[f5287,f870]) ).
tff(f5293,plain,
~ spl483_92,
inference(avatar_contradiction_clause,[],[f5292]) ).
tff(f5313,plain,
( ( vsomeAType(vNumber) = vsomeAType(sK452) )
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5
| spl483_92 ),
inference(backward_subsumption_resolution,[],[f2528,f5279]) ).
tff(f5355,plain,
( ( vsomeAType(vNumber) = vsomeAType(vYesNo) )
| sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| sP57(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_5
| spl483_92
| ~ spl483_93 ),
inference(forward_demodulation,[],[f5313,f5284]) ).
tff(f5507,definition,
( spl483_96
<=> ( vsomeAType(vNumber) = vsomeAType(vYesNo) ) ),
introduced(definition,[new_symbols(definition,[spl483_96])],[avatar_definition]) ).
tff(f5509,plain,
( ( vsomeAType(vNumber) = vsomeAType(vYesNo) )
| ~ spl483_96 ),
inference(avatar_component_clause,[],[f5507]) ).
tff(f5510,plain,
( spl483_90
| spl483_91
| spl483_96
| ~ spl483_5
| spl483_92
| ~ spl483_93 ),
inference(avatar_split_clause,[],[f5355,f5282,f5278,f2289,f5507,f5274,f5270]) ).
tff(f5537,plain,
( ( vYesNo = vgetAType(vsomeAType(vNumber)) )
| ~ spl483_96 ),
inference(superposition,[],[f989,f5509]) ).
tff(f5539,plain,
( ( vYesNo = vNumber )
| ~ spl483_96 ),
inference(forward_demodulation,[],[f5537,f989]) ).
tff(f5548,plain,
( $false
| ~ spl483_96 ),
inference(forward_subsumption_resolution,[],[f5539,f856]) ).
tff(f5549,plain,
~ spl483_96,
inference(avatar_contradiction_clause,[],[f5548]) ).
tff(f5586,plain,
( ( vbinop(ve1,sK451,ve2) = vunop(sK415(vtypeAM(sK450),vbinop(ve1,sK451,ve2)),sK416(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ spl483_90 ),
inference(resolution,[],[f5272,f1843]) ).
tff(f5593,plain,
( $false
| ~ spl483_90 ),
inference(forward_subsumption_resolution,[],[f5586,f872]) ).
tff(f5594,plain,
~ spl483_90,
inference(avatar_contradiction_clause,[],[f5593]) ).
tff(f5641,plain,
( ( vbinop(ve1,sK451,ve2) = vbinop(sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)),sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)),sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ spl483_91 ),
inference(resolution,[],[f5276,f1859]) ).
tff(f5642,plain,
( ( vtypeAM(sK450) = sK429(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_91 ),
inference(resolution,[],[f5276,f1860]) ).
tff(f5653,definition,
( spl483_98
<=> ( vtypeAM(sK450) = sK429(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ) ),
introduced(definition,[new_symbols(definition,[spl483_98])],[avatar_definition]) ).
tff(f5655,plain,
( ( vtypeAM(sK450) = sK429(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_98 ),
inference(avatar_component_clause,[],[f5653]) ).
tff(f5656,plain,
( spl483_98
| ~ spl483_91 ),
inference(avatar_split_clause,[],[f5642,f5274,f5653]) ).
tff(f5659,plain,
( ( sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vecheck(vtypeAM(sK450),sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_98 ),
inference(superposition,[],[f1863,f5655]) ).
tff(f5660,plain,
( ( sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vecheck(vtypeAM(sK450),sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_98 ),
inference(superposition,[],[f1864,f5655]) ).
tff(f5661,plain,
( ( sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vecheck(vtypeAM(sK450),sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ spl483_91
| ~ spl483_98 ),
inference(forward_subsumption_resolution,[],[f5660,f5276]) ).
tff(f5662,plain,
( ( sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vecheck(vtypeAM(sK450),sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ spl483_91
| ~ spl483_98 ),
inference(forward_subsumption_resolution,[],[f5659,f5276]) ).
tff(f5891,definition,
( spl483_102
<=> ( sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vecheck(vtypeAM(sK450),sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) ) ),
introduced(definition,[new_symbols(definition,[spl483_102])],[avatar_definition]) ).
tff(f5893,plain,
( ( sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vecheck(vtypeAM(sK450),sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ spl483_102 ),
inference(avatar_component_clause,[],[f5891]) ).
tff(f5894,plain,
( spl483_102
| ~ spl483_91
| ~ spl483_98 ),
inference(avatar_split_clause,[],[f5661,f5653,f5274,f5891]) ).
tff(f6002,definition,
( spl483_103
<=> ( sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vecheck(vtypeAM(sK450),sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) ) ),
introduced(definition,[new_symbols(definition,[spl483_103])],[avatar_definition]) ).
tff(f6004,plain,
( ( sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vecheck(vtypeAM(sK450),sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ spl483_103 ),
inference(avatar_component_clause,[],[f6002]) ).
tff(f6005,plain,
( spl483_103
| ~ spl483_91
| ~ spl483_98 ),
inference(avatar_split_clause,[],[f5662,f5653,f5274,f6002]) ).
tff(f6629,definition,
( spl483_113
<=> ( vbinop(ve1,sK451,ve2) = vbinop(sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)),sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)),sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) ) ),
introduced(definition,[new_symbols(definition,[spl483_113])],[avatar_definition]) ).
tff(f6631,plain,
( ( vbinop(ve1,sK451,ve2) = vbinop(sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)),sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)),sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2))) )
| ~ spl483_113 ),
inference(avatar_component_clause,[],[f6629]) ).
tff(f6632,plain,
( spl483_113
| ~ spl483_91 ),
inference(avatar_split_clause,[],[f5641,f5274,f6629]) ).
tff(f6636,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X2 ) )
| ~ spl483_113 ),
inference(superposition,[],[f862,f6631]) ).
tff(f6638,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X1 ) )
| ~ spl483_113 ),
inference(superposition,[],[f863,f6631]) ).
tff(f6640,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X0 ) )
| ~ spl483_113 ),
inference(superposition,[],[f864,f6631]) ).
tff(f9442,definition,
( spl483_158
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_158])],[avatar_definition]) ).
tff(f9443,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X0 ) )
| ~ spl483_158 ),
inference(avatar_component_clause,[],[f9442]) ).
tff(f9444,plain,
( spl483_158
| ~ spl483_113 ),
inference(avatar_split_clause,[],[f6640,f6629,f9442]) ).
tff(f9447,definition,
( spl483_159
<=> sP56(vtypeAM(sK450),sK453) ),
introduced(definition,[new_symbols(definition,[spl483_159])],[avatar_definition]) ).
tff(f9448,plain,
( ~ sP56(vtypeAM(sK450),sK453)
| spl483_159 ),
inference(avatar_component_clause,[],[f9447]) ).
tff(f9449,plain,
( sP56(vtypeAM(sK450),sK453)
| ~ spl483_159 ),
inference(avatar_component_clause,[],[f9447]) ).
tff(f9451,definition,
( spl483_160
<=> sP57(vtypeAM(sK450),sK453) ),
introduced(definition,[new_symbols(definition,[spl483_160])],[avatar_definition]) ).
tff(f9452,plain,
( ~ sP57(vtypeAM(sK450),sK453)
| spl483_160 ),
inference(avatar_component_clause,[],[f9451]) ).
tff(f9453,plain,
( sP57(vtypeAM(sK450),sK453)
| ~ spl483_160 ),
inference(avatar_component_clause,[],[f9451]) ).
tff(f9455,definition,
( spl483_161
<=> sP55(vtypeAM(sK450),sK453) ),
introduced(definition,[new_symbols(definition,[spl483_161])],[avatar_definition]) ).
tff(f9456,plain,
( ~ sP55(vtypeAM(sK450),sK453)
| spl483_161 ),
inference(avatar_component_clause,[],[f9455]) ).
tff(f9457,plain,
( sP55(vtypeAM(sK450),sK453)
| ~ spl483_161 ),
inference(avatar_component_clause,[],[f9455]) ).
tff(f9459,definition,
( spl483_162
<=> sP54(vtypeAM(sK450),sK453) ),
introduced(definition,[new_symbols(definition,[spl483_162])],[avatar_definition]) ).
tff(f9460,plain,
( ~ sP54(vtypeAM(sK450),sK453)
| spl483_162 ),
inference(avatar_component_clause,[],[f9459]) ).
tff(f9461,plain,
( sP54(vtypeAM(sK450),sK453)
| ~ spl483_162 ),
inference(avatar_component_clause,[],[f9459]) ).
tff(f9463,definition,
( spl483_163
<=> sP58(vtypeAM(sK450),sK453) ),
introduced(definition,[new_symbols(definition,[spl483_163])],[avatar_definition]) ).
tff(f9464,plain,
( ~ sP58(vtypeAM(sK450),sK453)
| spl483_163 ),
inference(avatar_component_clause,[],[f9463]) ).
tff(f9465,plain,
( sP58(vtypeAM(sK450),sK453)
| ~ spl483_163 ),
inference(avatar_component_clause,[],[f9463]) ).
tff(f10400,definition,
( spl483_192
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_192])],[avatar_definition]) ).
tff(f10401,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X2 ) )
| ~ spl483_192 ),
inference(avatar_component_clause,[],[f10400]) ).
tff(f10402,plain,
( spl483_192
| ~ spl483_113 ),
inference(avatar_split_clause,[],[f6636,f6629,f10400]) ).
tff(f15122,definition,
( spl483_269
<=> ! [X0: vAnsMap,X1: vExp] :
( ( vecheck(vtypeAM(X0),ve2) != vecheck(vtypeAM(sK450),ve2) )
| ( vecheck(vtypeAM(X0),X1) = vecheck(vtypeAM(sK450),ve2) )
| ( vsomeExp(X1) != vreduceExp(ve2,X0) ) ) ),
introduced(definition,[new_symbols(definition,[spl483_269])],[avatar_definition]) ).
tff(f15123,plain,
( ! [X0: vAnsMap,X1: vExp] :
( ( vecheck(vtypeAM(X0),ve2) != vecheck(vtypeAM(sK450),ve2) )
| ( vecheck(vtypeAM(X0),X1) = vecheck(vtypeAM(sK450),ve2) )
| ( vsomeExp(X1) != vreduceExp(ve2,X0) ) )
| ~ spl483_269 ),
inference(avatar_component_clause,[],[f15122]) ).
tff(f15124,plain,
( spl483_269
| ~ spl483_27 ),
inference(avatar_split_clause,[],[f4292,f3036,f15122]) ).
tff(f17574,definition,
( spl483_332
<=> ! [X0: vExp] :
( ( vsomeExp(X0) != vsomeExp(sK453) )
| ( vbinop(ve1,sK451,vgetExp(vreduceExp(ve2,sK450))) = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_332])],[avatar_definition]) ).
tff(f17575,plain,
( ! [X0: vExp] :
( ( vsomeExp(X0) != vsomeExp(sK453) )
| ( vbinop(ve1,sK451,vgetExp(vreduceExp(ve2,sK450))) = X0 ) )
| ~ spl483_332 ),
inference(avatar_component_clause,[],[f17574]) ).
tff(f17576,plain,
( spl483_332
| ~ spl483_1
| ~ spl483_3
| ~ spl483_88 ),
inference(avatar_split_clause,[],[f5248,f5207,f2279,f2058,f17574]) ).
tff(f17609,plain,
( ( sK453 = vbinop(ve1,sK451,vgetExp(vreduceExp(ve2,sK450))) )
| ~ spl483_332 ),
inference(equality_resolution,[],[f17575]) ).
tff(f18316,plain,
( ( sK453 = vunop(sK415(vtypeAM(sK450),sK453),sK416(vtypeAM(sK450),sK453)) )
| ~ spl483_160 ),
inference(resolution,[],[f9453,f1843]) ).
tff(f18333,plain,
( ( sK453 = vunop(vnotop,sK416(vtypeAM(sK450),sK453)) )
| ~ spl483_160 ),
inference(forward_demodulation,[],[f18316,f910]) ).
tff(f18335,definition,
( spl483_337
<=> ( sK453 = vunop(vnotop,sK416(vtypeAM(sK450),sK453)) ) ),
introduced(definition,[new_symbols(definition,[spl483_337])],[avatar_definition]) ).
tff(f18337,plain,
( ( sK453 = vunop(vnotop,sK416(vtypeAM(sK450),sK453)) )
| ~ spl483_337 ),
inference(avatar_component_clause,[],[f18335]) ).
tff(f18338,plain,
( spl483_337
| ~ spl483_160 ),
inference(avatar_split_clause,[],[f18333,f9451,f18335]) ).
tff(f18358,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] : ( sK453 != vbinop(X0,X1,X2) )
| ~ spl483_337 ),
inference(superposition,[],[f872,f18337]) ).
tff(f18365,plain,
( $false
| ~ spl483_332
| ~ spl483_337 ),
inference(backward_subsumption_resolution,[],[f17609,f18358]) ).
tff(f18366,plain,
( ~ spl483_332
| ~ spl483_337 ),
inference(avatar_contradiction_clause,[],[f18365]) ).
tff(f18446,plain,
( ( sK453 = vbinop(sK431(vtypeAM(sK450),sK453),sK434(vtypeAM(sK450),sK453),sK433(vtypeAM(sK450),sK453)) )
| ~ spl483_162 ),
inference(resolution,[],[f9461,f1859]) ).
tff(f18447,plain,
( ( vtypeAM(sK450) = sK429(vtypeAM(sK450),sK453) )
| ~ spl483_162 ),
inference(resolution,[],[f9461,f1860]) ).
tff(f18458,definition,
( spl483_338
<=> ( vtypeAM(sK450) = sK429(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_338])],[avatar_definition]) ).
tff(f18460,plain,
( ( vtypeAM(sK450) = sK429(vtypeAM(sK450),sK453) )
| ~ spl483_338 ),
inference(avatar_component_clause,[],[f18458]) ).
tff(f18461,plain,
( spl483_338
| ~ spl483_162 ),
inference(avatar_split_clause,[],[f18447,f9459,f18458]) ).
tff(f18499,definition,
( spl483_339
<=> ( sK453 = vbinop(sK431(vtypeAM(sK450),sK453),sK434(vtypeAM(sK450),sK453),sK433(vtypeAM(sK450),sK453)) ) ),
introduced(definition,[new_symbols(definition,[spl483_339])],[avatar_definition]) ).
tff(f18501,plain,
( ( sK453 = vbinop(sK431(vtypeAM(sK450),sK453),sK434(vtypeAM(sK450),sK453),sK433(vtypeAM(sK450),sK453)) )
| ~ spl483_339 ),
inference(avatar_component_clause,[],[f18499]) ).
tff(f18502,plain,
( spl483_339
| ~ spl483_162 ),
inference(avatar_split_clause,[],[f18446,f9459,f18499]) ).
tff(f18525,plain,
( ( sK432(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK433(vtypeAM(sK450),sK453)) )
| ~ sP54(vtypeAM(sK450),sK453)
| ~ spl483_338 ),
inference(superposition,[],[f1863,f18460]) ).
tff(f18526,plain,
( ( sK430(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK431(vtypeAM(sK450),sK453)) )
| ~ sP54(vtypeAM(sK450),sK453)
| ~ spl483_338 ),
inference(superposition,[],[f1864,f18460]) ).
tff(f18542,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK433(vtypeAM(sK450),sK453) = X2 ) )
| ~ spl483_339 ),
inference(superposition,[],[f862,f18501]) ).
tff(f18687,plain,
( ( sK453 = vqvar(sK413(vtypeAM(sK450),sK453)) )
| ~ spl483_163 ),
inference(resolution,[],[f9465,f1840]) ).
tff(f18703,definition,
( spl483_346
<=> ( sK453 = vqvar(sK413(vtypeAM(sK450),sK453)) ) ),
introduced(definition,[new_symbols(definition,[spl483_346])],[avatar_definition]) ).
tff(f18705,plain,
( ( sK453 = vqvar(sK413(vtypeAM(sK450),sK453)) )
| ~ spl483_346 ),
inference(avatar_component_clause,[],[f18703]) ).
tff(f18706,plain,
( spl483_346
| ~ spl483_163 ),
inference(avatar_split_clause,[],[f18687,f9463,f18703]) ).
tff(f18713,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] : ( sK453 != vbinop(X0,X1,X2) )
| ~ spl483_346 ),
inference(superposition,[],[f870,f18705]) ).
tff(f18761,plain,
( $false
| ~ spl483_332
| ~ spl483_346 ),
inference(backward_subsumption_resolution,[],[f17609,f18713]) ).
tff(f18762,plain,
( ~ spl483_332
| ~ spl483_346 ),
inference(avatar_contradiction_clause,[],[f18761]) ).
tff(f20621,plain,
( ( sK430(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK431(vtypeAM(sK450),sK453)) )
| ~ spl483_162
| ~ spl483_338 ),
inference(forward_subsumption_resolution,[],[f18526,f9461]) ).
tff(f21489,definition,
( spl483_348
<=> ( sK453 = vbinop(ve1,sK451,vgetExp(vreduceExp(ve2,sK450))) ) ),
introduced(definition,[new_symbols(definition,[spl483_348])],[avatar_definition]) ).
tff(f21491,plain,
( ( sK453 = vbinop(ve1,sK451,vgetExp(vreduceExp(ve2,sK450))) )
| ~ spl483_348 ),
inference(avatar_component_clause,[],[f21489]) ).
tff(f21492,plain,
( spl483_348
| ~ spl483_332 ),
inference(avatar_split_clause,[],[f17609,f17574,f21489]) ).
tff(f21515,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK451 = X1 ) )
| ~ spl483_348 ),
inference(superposition,[],[f863,f21491]) ).
tff(f21517,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( ve1 = X0 ) )
| ~ spl483_348 ),
inference(superposition,[],[f864,f21491]) ).
tff(f21518,plain,
( ! [X0: vAval] : ( vconstant(X0) != sK453 )
| ~ spl483_348 ),
inference(superposition,[],[f868,f21491]) ).
tff(f21520,plain,
( ! [X0: vUnOpT,X1: vExp] : ( vunop(X0,X1) != sK453 )
| ~ spl483_348 ),
inference(superposition,[],[f872,f21491]) ).
tff(f21544,definition,
( spl483_352
<=> ( sK430(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK431(vtypeAM(sK450),sK453)) ) ),
introduced(definition,[new_symbols(definition,[spl483_352])],[avatar_definition]) ).
tff(f21546,plain,
( ( sK430(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK431(vtypeAM(sK450),sK453)) )
| ~ spl483_352 ),
inference(avatar_component_clause,[],[f21544]) ).
tff(f21547,plain,
( spl483_352
| ~ spl483_162
| ~ spl483_338 ),
inference(avatar_split_clause,[],[f20621,f18458,f9459,f21544]) ).
tff(f21992,plain,
( ( sK453 = vunop(sK419(vtypeAM(sK450),sK453),sK420(vtypeAM(sK450),sK453)) )
| ~ spl483_159 ),
inference(resolution,[],[f9449,f1848]) ).
tff(f21999,plain,
( $false
| ~ spl483_159
| ~ spl483_348 ),
inference(forward_subsumption_resolution,[],[f21992,f21520]) ).
tff(f22000,plain,
( ~ spl483_159
| ~ spl483_348 ),
inference(avatar_contradiction_clause,[],[f21999]) ).
tff(f22015,plain,
( ( sK453 = vconstant(vB(sK436(vtypeAM(sK450),sK453))) )
| ( sK453 = vconstant(vNum(sK437(vtypeAM(sK450),sK453))) )
| ( sK453 = vconstant(vT(sK439(vtypeAM(sK450),sK453))) )
| sP58(vtypeAM(sK450),sK453)
| sP54(vtypeAM(sK450),sK453)
| sP55(vtypeAM(sK450),sK453)
| sP57(vtypeAM(sK450),sK453)
| spl483_159 ),
inference(resolution,[],[f9448,f1878]) ).
tff(f22035,plain,
( ( sK453 = vbinop(sK425(vtypeAM(sK450),sK453),sK428(vtypeAM(sK450),sK453),sK427(vtypeAM(sK450),sK453)) )
| ~ spl483_161 ),
inference(resolution,[],[f9457,f1853]) ).
tff(f22036,plain,
( ( vtypeAM(sK450) = sK423(vtypeAM(sK450),sK453) )
| ~ spl483_161 ),
inference(resolution,[],[f9457,f1854]) ).
tff(f22043,definition,
( spl483_353
<=> ( vtypeAM(sK450) = sK423(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_353])],[avatar_definition]) ).
tff(f22045,plain,
( ( vtypeAM(sK450) = sK423(vtypeAM(sK450),sK453) )
| ~ spl483_353 ),
inference(avatar_component_clause,[],[f22043]) ).
tff(f22046,plain,
( spl483_353
| ~ spl483_161 ),
inference(avatar_split_clause,[],[f22036,f9455,f22043]) ).
tff(f22048,definition,
( spl483_354
<=> ( sK453 = vbinop(sK425(vtypeAM(sK450),sK453),sK428(vtypeAM(sK450),sK453),sK427(vtypeAM(sK450),sK453)) ) ),
introduced(definition,[new_symbols(definition,[spl483_354])],[avatar_definition]) ).
tff(f22050,plain,
( ( sK453 = vbinop(sK425(vtypeAM(sK450),sK453),sK428(vtypeAM(sK450),sK453),sK427(vtypeAM(sK450),sK453)) )
| ~ spl483_354 ),
inference(avatar_component_clause,[],[f22048]) ).
tff(f22051,plain,
( spl483_354
| ~ spl483_161 ),
inference(avatar_split_clause,[],[f22035,f9455,f22048]) ).
tff(f22054,plain,
( ( sK426(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK427(vtypeAM(sK450),sK453)) )
| ~ sP55(vtypeAM(sK450),sK453)
| ~ spl483_353 ),
inference(superposition,[],[f1856,f22045]) ).
tff(f22055,plain,
( ( sK424(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK425(vtypeAM(sK450),sK453)) )
| ~ sP55(vtypeAM(sK450),sK453)
| ~ spl483_353 ),
inference(superposition,[],[f1857,f22045]) ).
tff(f22056,plain,
( ( sK424(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK425(vtypeAM(sK450),sK453)) )
| ~ spl483_161
| ~ spl483_353 ),
inference(forward_subsumption_resolution,[],[f22055,f9457]) ).
tff(f22057,plain,
( ( sK426(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK427(vtypeAM(sK450),sK453)) )
| ~ spl483_161
| ~ spl483_353 ),
inference(forward_subsumption_resolution,[],[f22054,f9457]) ).
tff(f22257,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK427(vtypeAM(sK450),sK453) = X2 ) )
| ~ spl483_354 ),
inference(superposition,[],[f862,f22050]) ).
tff(f22261,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK425(vtypeAM(sK450),sK453) = X0 ) )
| ~ spl483_354 ),
inference(superposition,[],[f864,f22050]) ).
tff(f22380,definition,
( spl483_360
<=> ( sK424(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK425(vtypeAM(sK450),sK453)) ) ),
introduced(definition,[new_symbols(definition,[spl483_360])],[avatar_definition]) ).
tff(f22382,plain,
( ( sK424(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK425(vtypeAM(sK450),sK453)) )
| ~ spl483_360 ),
inference(avatar_component_clause,[],[f22380]) ).
tff(f22383,plain,
( spl483_360
| ~ spl483_161
| ~ spl483_353 ),
inference(avatar_split_clause,[],[f22056,f22043,f9455,f22380]) ).
tff(f22519,definition,
( spl483_362
<=> ( sK426(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK427(vtypeAM(sK450),sK453)) ) ),
introduced(definition,[new_symbols(definition,[spl483_362])],[avatar_definition]) ).
tff(f22521,plain,
( ( sK426(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK427(vtypeAM(sK450),sK453)) )
| ~ spl483_362 ),
inference(avatar_component_clause,[],[f22519]) ).
tff(f22522,plain,
( spl483_362
| ~ spl483_161
| ~ spl483_353 ),
inference(avatar_split_clause,[],[f22057,f22043,f9455,f22519]) ).
tff(f23866,plain,
( ! [X0: vExp] :
( ( vecheck(vtypeAM(sK450),ve2) = vecheck(vtypeAM(sK450),X0) )
| ( vsomeExp(X0) != vreduceExp(ve2,sK450) ) )
| ~ spl483_269 ),
inference(equality_resolution,[],[f15123]) ).
tff(f23894,definition,
( spl483_373
<=> ! [X0: vExp] :
( ( vecheck(vtypeAM(sK450),ve2) = vecheck(vtypeAM(sK450),X0) )
| ( vsomeExp(X0) != vreduceExp(ve2,sK450) ) ) ),
introduced(definition,[new_symbols(definition,[spl483_373])],[avatar_definition]) ).
tff(f23895,plain,
( ! [X0: vExp] :
( ( vsomeExp(X0) != vreduceExp(ve2,sK450) )
| ( vecheck(vtypeAM(sK450),ve2) = vecheck(vtypeAM(sK450),X0) ) )
| ~ spl483_373 ),
inference(avatar_component_clause,[],[f23894]) ).
tff(f23896,plain,
( spl483_373
| ~ spl483_269 ),
inference(avatar_split_clause,[],[f23866,f15122,f23894]) ).
tff(f23928,plain,
( ( vreduceExp(ve2,sK450) != vreduceExp(ve2,sK450) )
| ( vecheck(vtypeAM(sK450),ve2) = vecheck(vtypeAM(sK450),sK193(vreduceExp(ve2,sK450))) )
| ~ spl483_71
| ~ spl483_373 ),
inference(superposition,[],[f23895,f4398]) ).
tff(f23937,plain,
( ( vecheck(vtypeAM(sK450),ve2) = vecheck(vtypeAM(sK450),sK193(vreduceExp(ve2,sK450))) )
| ~ spl483_71
| ~ spl483_373 ),
inference(trivial_inequality_removal,[],[f23928]) ).
tff(f23941,plain,
( ( vecheck(vtypeAM(sK450),ve2) = vecheck(vtypeAM(sK450),vgetExp(vreduceExp(ve2,sK450))) )
| ~ spl483_71
| ~ spl483_373 ),
inference(forward_demodulation,[],[f23937,f4411]) ).
tff(f23961,definition,
( spl483_374
<=> ! [X0: vAval] : ( vconstant(X0) != sK453 ) ),
introduced(definition,[new_symbols(definition,[spl483_374])],[avatar_definition]) ).
tff(f23962,plain,
( ! [X0: vAval] : ( vconstant(X0) != sK453 )
| ~ spl483_374 ),
inference(avatar_component_clause,[],[f23961]) ).
tff(f23963,plain,
( spl483_374
| ~ spl483_348 ),
inference(avatar_split_clause,[],[f21518,f21489,f23961]) ).
tff(f24236,definition,
( spl483_377
<=> ( vecheck(vtypeAM(sK450),ve2) = vecheck(vtypeAM(sK450),vgetExp(vreduceExp(ve2,sK450))) ) ),
introduced(definition,[new_symbols(definition,[spl483_377])],[avatar_definition]) ).
tff(f24238,plain,
( ( vecheck(vtypeAM(sK450),ve2) = vecheck(vtypeAM(sK450),vgetExp(vreduceExp(ve2,sK450))) )
| ~ spl483_377 ),
inference(avatar_component_clause,[],[f24236]) ).
tff(f24239,plain,
( spl483_377
| ~ spl483_71
| ~ spl483_373 ),
inference(avatar_split_clause,[],[f23941,f23894,f4396,f24236]) ).
tff(f25776,plain,
( ( ve1 = sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_158 ),
inference(equality_resolution,[],[f9443]) ).
tff(f25792,definition,
( spl483_409
<=> ( ve1 = sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ) ),
introduced(definition,[new_symbols(definition,[spl483_409])],[avatar_definition]) ).
tff(f25794,plain,
( ( ve1 = sK431(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_409 ),
inference(avatar_component_clause,[],[f25792]) ).
tff(f25795,plain,
( spl483_409
| ~ spl483_158 ),
inference(avatar_split_clause,[],[f25776,f9442,f25792]) ).
tff(f25801,plain,
( ( vecheck(vtypeAM(sK450),ve1) = sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_102
| ~ spl483_409 ),
inference(superposition,[],[f5893,f25794]) ).
tff(f25809,definition,
( spl483_410
<=> ( vecheck(vtypeAM(sK450),ve1) = sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ) ),
introduced(definition,[new_symbols(definition,[spl483_410])],[avatar_definition]) ).
tff(f25811,plain,
( ( vecheck(vtypeAM(sK450),ve1) = sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_410 ),
inference(avatar_component_clause,[],[f25809]) ).
tff(f25812,plain,
( spl483_410
| ~ spl483_102
| ~ spl483_409 ),
inference(avatar_split_clause,[],[f25801,f25792,f5891,f25809]) ).
tff(f25849,plain,
( ( ve2 = sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_192 ),
inference(equality_resolution,[],[f10401]) ).
tff(f25865,definition,
( spl483_412
<=> ( ve2 = sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ) ),
introduced(definition,[new_symbols(definition,[spl483_412])],[avatar_definition]) ).
tff(f25867,plain,
( ( ve2 = sK433(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_412 ),
inference(avatar_component_clause,[],[f25865]) ).
tff(f25868,plain,
( spl483_412
| ~ spl483_192 ),
inference(avatar_split_clause,[],[f25849,f10400,f25865]) ).
tff(f25873,plain,
( ( vecheck(vtypeAM(sK450),ve2) = sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_103
| ~ spl483_412 ),
inference(superposition,[],[f6004,f25867]) ).
tff(f25883,definition,
( spl483_413
<=> ( vecheck(vtypeAM(sK450),ve2) = sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ) ),
introduced(definition,[new_symbols(definition,[spl483_413])],[avatar_definition]) ).
tff(f25885,plain,
( ( vecheck(vtypeAM(sK450),ve2) = sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_413 ),
inference(avatar_component_clause,[],[f25883]) ).
tff(f25886,plain,
( spl483_413
| ~ spl483_103
| ~ spl483_412 ),
inference(avatar_split_clause,[],[f25873,f25865,f6002,f25883]) ).
tff(f26297,definition,
( spl483_418
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK451 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_418])],[avatar_definition]) ).
tff(f26298,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK451 = X1 ) )
| ~ spl483_418 ),
inference(avatar_component_clause,[],[f26297]) ).
tff(f26299,plain,
( spl483_418
| ~ spl483_348 ),
inference(avatar_split_clause,[],[f21515,f21489,f26297]) ).
tff(f26582,definition,
( spl483_423
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK425(vtypeAM(sK450),sK453) = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_423])],[avatar_definition]) ).
tff(f26583,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK425(vtypeAM(sK450),sK453) = X0 ) )
| ~ spl483_423 ),
inference(avatar_component_clause,[],[f26582]) ).
tff(f26584,plain,
( spl483_423
| ~ spl483_354 ),
inference(avatar_split_clause,[],[f22261,f22048,f26582]) ).
tff(f26585,plain,
( ( sK453 != sK453 )
| ( ve1 = sK425(vtypeAM(sK450),sK453) )
| ~ spl483_348
| ~ spl483_423 ),
inference(superposition,[],[f26583,f21491]) ).
tff(f26600,plain,
( ( ve1 = sK425(vtypeAM(sK450),sK453) )
| ~ spl483_348
| ~ spl483_423 ),
inference(trivial_inequality_removal,[],[f26585]) ).
tff(f26605,definition,
( spl483_424
<=> ( ve1 = sK425(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_424])],[avatar_definition]) ).
tff(f26607,plain,
( ( ve1 = sK425(vtypeAM(sK450),sK453) )
| ~ spl483_424 ),
inference(avatar_component_clause,[],[f26605]) ).
tff(f26608,plain,
( spl483_424
| ~ spl483_348
| ~ spl483_423 ),
inference(avatar_split_clause,[],[f26600,f26582,f21489,f26605]) ).
tff(f26612,plain,
( ( vecheck(vtypeAM(sK450),ve1) = sK424(vtypeAM(sK450),sK453) )
| ~ spl483_360
| ~ spl483_424 ),
inference(superposition,[],[f22382,f26607]) ).
tff(f26631,definition,
( spl483_425
<=> ( vecheck(vtypeAM(sK450),ve1) = sK424(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_425])],[avatar_definition]) ).
tff(f26633,plain,
( ( vecheck(vtypeAM(sK450),ve1) = sK424(vtypeAM(sK450),sK453) )
| ~ spl483_425 ),
inference(avatar_component_clause,[],[f26631]) ).
tff(f26634,plain,
( spl483_425
| ~ spl483_360
| ~ spl483_424 ),
inference(avatar_split_clause,[],[f26612,f26605,f22380,f26631]) ).
tff(f27442,definition,
( spl483_431
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK427(vtypeAM(sK450),sK453) = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_431])],[avatar_definition]) ).
tff(f27443,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK427(vtypeAM(sK450),sK453) = X2 ) )
| ~ spl483_431 ),
inference(avatar_component_clause,[],[f27442]) ).
tff(f27444,plain,
( spl483_431
| ~ spl483_354 ),
inference(avatar_split_clause,[],[f22257,f22048,f27442]) ).
tff(f27445,plain,
( ( sK453 != sK453 )
| ( vgetExp(vreduceExp(ve2,sK450)) = sK427(vtypeAM(sK450),sK453) )
| ~ spl483_348
| ~ spl483_431 ),
inference(superposition,[],[f27443,f21491]) ).
tff(f27460,plain,
( ( vgetExp(vreduceExp(ve2,sK450)) = sK427(vtypeAM(sK450),sK453) )
| ~ spl483_348
| ~ spl483_431 ),
inference(trivial_inequality_removal,[],[f27445]) ).
tff(f27465,definition,
( spl483_432
<=> ( vgetExp(vreduceExp(ve2,sK450)) = sK427(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_432])],[avatar_definition]) ).
tff(f27467,plain,
( ( vgetExp(vreduceExp(ve2,sK450)) = sK427(vtypeAM(sK450),sK453) )
| ~ spl483_432 ),
inference(avatar_component_clause,[],[f27465]) ).
tff(f27468,plain,
( spl483_432
| ~ spl483_348
| ~ spl483_431 ),
inference(avatar_split_clause,[],[f27460,f27442,f21489,f27465]) ).
tff(f27472,plain,
( ( vecheck(vtypeAM(sK450),vgetExp(vreduceExp(ve2,sK450))) = sK426(vtypeAM(sK450),sK453) )
| ~ spl483_362
| ~ spl483_432 ),
inference(superposition,[],[f22521,f27467]) ).
tff(f27488,plain,
( ( vecheck(vtypeAM(sK450),ve2) = sK426(vtypeAM(sK450),sK453) )
| ~ spl483_362
| ~ spl483_377
| ~ spl483_432 ),
inference(forward_demodulation,[],[f27472,f24238]) ).
tff(f27497,definition,
( spl483_433
<=> ( vecheck(vtypeAM(sK450),ve2) = sK426(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_433])],[avatar_definition]) ).
tff(f27499,plain,
( ( vecheck(vtypeAM(sK450),ve2) = sK426(vtypeAM(sK450),sK453) )
| ~ spl483_433 ),
inference(avatar_component_clause,[],[f27497]) ).
tff(f27500,plain,
( spl483_433
| ~ spl483_362
| ~ spl483_377
| ~ spl483_432 ),
inference(avatar_split_clause,[],[f27488,f27465,f24236,f22519,f27497]) ).
tff(f27503,plain,
( ~ visSomeAType(vecheck(vtypeAM(sK450),ve2))
| ~ visSomeAType(sK424(vtypeAM(sK450),sK453))
| ~ sP55(vtypeAM(sK450),sK453)
| ~ spl483_433 ),
inference(superposition,[],[f1855,f27499]) ).
tff(f27504,plain,
( ~ visSomeAType(sK424(vtypeAM(sK450),sK453))
| ~ sP55(vtypeAM(sK450),sK453)
| ~ spl483_15
| ~ spl483_433 ),
inference(forward_subsumption_resolution,[],[f27503,f2719]) ).
tff(f27506,plain,
( ~ visSomeAType(sK424(vtypeAM(sK450),sK453))
| ~ spl483_15
| ~ spl483_161
| ~ spl483_433 ),
inference(forward_subsumption_resolution,[],[f27504,f9457]) ).
tff(f27507,plain,
( ~ visSomeAType(vecheck(vtypeAM(sK450),ve1))
| ~ spl483_15
| ~ spl483_161
| ~ spl483_425
| ~ spl483_433 ),
inference(forward_demodulation,[],[f27506,f26633]) ).
tff(f27508,plain,
( $false
| ~ spl483_15
| ~ spl483_16
| ~ spl483_161
| ~ spl483_425
| ~ spl483_433 ),
inference(forward_subsumption_resolution,[],[f27507,f2766]) ).
tff(f27509,plain,
( ~ spl483_15
| ~ spl483_16
| ~ spl483_161
| ~ spl483_425
| ~ spl483_433 ),
inference(avatar_contradiction_clause,[],[f27508]) ).
tff(f27531,plain,
( ( sK453 = vconstant(vB(sK436(vtypeAM(sK450),sK453))) )
| ( sK453 = vconstant(vNum(sK437(vtypeAM(sK450),sK453))) )
| sP58(vtypeAM(sK450),sK453)
| sP54(vtypeAM(sK450),sK453)
| sP55(vtypeAM(sK450),sK453)
| sP57(vtypeAM(sK450),sK453)
| spl483_159
| ~ spl483_374 ),
inference(forward_subsumption_resolution,[],[f22015,f23962]) ).
tff(f27605,plain,
( ( sK453 = vconstant(vB(sK436(vtypeAM(sK450),sK453))) )
| sP58(vtypeAM(sK450),sK453)
| sP54(vtypeAM(sK450),sK453)
| sP55(vtypeAM(sK450),sK453)
| sP57(vtypeAM(sK450),sK453)
| spl483_159
| ~ spl483_374 ),
inference(forward_subsumption_resolution,[],[f27531,f23962]) ).
tff(f27645,plain,
( sP58(vtypeAM(sK450),sK453)
| sP54(vtypeAM(sK450),sK453)
| sP55(vtypeAM(sK450),sK453)
| sP57(vtypeAM(sK450),sK453)
| spl483_159
| ~ spl483_374 ),
inference(forward_subsumption_resolution,[],[f27605,f23962]) ).
tff(f27678,plain,
( sP54(vtypeAM(sK450),sK453)
| sP55(vtypeAM(sK450),sK453)
| sP57(vtypeAM(sK450),sK453)
| spl483_159
| spl483_163
| ~ spl483_374 ),
inference(forward_subsumption_resolution,[],[f27645,f9464]) ).
tff(f27713,plain,
( sP55(vtypeAM(sK450),sK453)
| sP57(vtypeAM(sK450),sK453)
| spl483_159
| spl483_162
| spl483_163
| ~ spl483_374 ),
inference(forward_subsumption_resolution,[],[f27678,f9460]) ).
tff(f27744,plain,
( sP57(vtypeAM(sK450),sK453)
| spl483_159
| spl483_161
| spl483_162
| spl483_163
| ~ spl483_374 ),
inference(forward_subsumption_resolution,[],[f27713,f9456]) ).
tff(f27775,plain,
( $false
| spl483_159
| spl483_160
| spl483_161
| spl483_162
| spl483_163
| ~ spl483_374 ),
inference(forward_subsumption_resolution,[],[f27744,f9452]) ).
tff(f27776,plain,
( spl483_159
| spl483_160
| spl483_161
| spl483_162
| spl483_163
| ~ spl483_374 ),
inference(avatar_contradiction_clause,[],[f27775]) ).
tff(f27854,plain,
( ( sK432(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK433(vtypeAM(sK450),sK453)) )
| ~ spl483_162
| ~ spl483_338 ),
inference(forward_subsumption_resolution,[],[f18525,f9461]) ).
tff(f27889,plain,
( ( sK453 != sK453 )
| ( sK451 = sK434(vtypeAM(sK450),sK453) )
| ~ spl483_339
| ~ spl483_418 ),
inference(superposition,[],[f26298,f18501]) ).
tff(f27894,plain,
( ( sK451 = sK434(vtypeAM(sK450),sK453) )
| ~ spl483_339
| ~ spl483_418 ),
inference(trivial_inequality_removal,[],[f27889]) ).
tff(f28493,definition,
( spl483_435
<=> ( sK451 = sK434(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_435])],[avatar_definition]) ).
tff(f28495,plain,
( ( sK451 = sK434(vtypeAM(sK450),sK453) )
| ~ spl483_435 ),
inference(avatar_component_clause,[],[f28493]) ).
tff(f28496,plain,
( spl483_435
| ~ spl483_339
| ~ spl483_418 ),
inference(avatar_split_clause,[],[f27894,f26297,f18499,f28493]) ).
tff(f28498,definition,
( spl483_436
<=> ( sK432(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK433(vtypeAM(sK450),sK453)) ) ),
introduced(definition,[new_symbols(definition,[spl483_436])],[avatar_definition]) ).
tff(f28500,plain,
( ( sK432(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),sK433(vtypeAM(sK450),sK453)) )
| ~ spl483_436 ),
inference(avatar_component_clause,[],[f28498]) ).
tff(f28501,plain,
( spl483_436
| ~ spl483_162
| ~ spl483_338 ),
inference(avatar_split_clause,[],[f27854,f18458,f9459,f28498]) ).
tff(f28576,definition,
( spl483_440
<=> ( ve1 = sK431(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_440])],[avatar_definition]) ).
tff(f28577,plain,
( ( ve1 != sK431(vtypeAM(sK450),sK453) )
| spl483_440 ),
inference(avatar_component_clause,[],[f28576]) ).
tff(f28578,plain,
( ( ve1 = sK431(vtypeAM(sK450),sK453) )
| ~ spl483_440 ),
inference(avatar_component_clause,[],[f28576]) ).
tff(f28582,plain,
( ( vecheck(vtypeAM(sK450),ve1) = sK430(vtypeAM(sK450),sK453) )
| ~ spl483_352
| ~ spl483_440 ),
inference(superposition,[],[f21546,f28578]) ).
tff(f28595,definition,
( spl483_441
<=> ( vecheck(vtypeAM(sK450),ve2) = sK432(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_441])],[avatar_definition]) ).
tff(f28596,plain,
( ( vecheck(vtypeAM(sK450),ve2) != sK432(vtypeAM(sK450),sK453) )
| spl483_441 ),
inference(avatar_component_clause,[],[f28595]) ).
tff(f28597,plain,
( ( vecheck(vtypeAM(sK450),ve2) = sK432(vtypeAM(sK450),sK453) )
| ~ spl483_441 ),
inference(avatar_component_clause,[],[f28595]) ).
tff(f28603,plain,
( ( vecheck(vtypeAM(sK450),sK453) = vcheckBinOp(sK434(vtypeAM(sK450),sK453),vgetAType(sK430(vtypeAM(sK450),sK453)),vgetAType(vecheck(vtypeAM(sK450),ve2))) )
| ~ sP54(vtypeAM(sK450),sK453)
| ~ spl483_441 ),
inference(superposition,[],[f1858,f28597]) ).
tff(f28605,plain,
( ( vecheck(vtypeAM(sK450),sK453) = vcheckBinOp(sK434(vtypeAM(sK450),sK453),vgetAType(sK430(vtypeAM(sK450),sK453)),vgetAType(vecheck(vtypeAM(sK450),ve2))) )
| ~ spl483_162
| ~ spl483_441 ),
inference(forward_subsumption_resolution,[],[f28603,f9461]) ).
tff(f28607,plain,
( ( vecheck(vtypeAM(sK450),sK453) = vcheckBinOp(sK434(vtypeAM(sK450),sK453),vgetAType(vecheck(vtypeAM(sK450),ve1)),vgetAType(vecheck(vtypeAM(sK450),ve2))) )
| ~ spl483_162
| ~ spl483_352
| ~ spl483_440
| ~ spl483_441 ),
inference(forward_demodulation,[],[f28605,f28582]) ).
tff(f28608,plain,
( ( vecheck(vtypeAM(sK450),sK453) = vcheckBinOp(sK451,vgetAType(vecheck(vtypeAM(sK450),ve1)),vgetAType(vecheck(vtypeAM(sK450),ve2))) )
| ~ spl483_162
| ~ spl483_352
| ~ spl483_435
| ~ spl483_440
| ~ spl483_441 ),
inference(forward_demodulation,[],[f28607,f28495]) ).
tff(f28634,definition,
( spl483_444
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK433(vtypeAM(sK450),sK453) = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_444])],[avatar_definition]) ).
tff(f28635,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( sK433(vtypeAM(sK450),sK453) = X2 ) )
| ~ spl483_444 ),
inference(avatar_component_clause,[],[f28634]) ).
tff(f28636,plain,
( spl483_444
| ~ spl483_339 ),
inference(avatar_split_clause,[],[f18542,f18499,f28634]) ).
tff(f28659,definition,
( spl483_446
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( ve1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_446])],[avatar_definition]) ).
tff(f28660,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( sK453 != vbinop(X0,X1,X2) )
| ( ve1 = X0 ) )
| ~ spl483_446 ),
inference(avatar_component_clause,[],[f28659]) ).
tff(f28661,plain,
( spl483_446
| ~ spl483_348 ),
inference(avatar_split_clause,[],[f21517,f21489,f28659]) ).
tff(f28676,plain,
( ( sK453 != sK453 )
| ( ve1 = sK431(vtypeAM(sK450),sK453) )
| ~ spl483_339
| ~ spl483_446 ),
inference(superposition,[],[f28660,f18501]) ).
tff(f28677,plain,
( ( ve1 = sK431(vtypeAM(sK450),sK453) )
| ~ spl483_339
| ~ spl483_446 ),
inference(trivial_inequality_removal,[],[f28676]) ).
tff(f29192,definition,
( spl483_460
<=> ( vgetExp(vreduceExp(ve2,sK450)) = sK433(vtypeAM(sK450),sK453) ) ),
introduced(definition,[new_symbols(definition,[spl483_460])],[avatar_definition]) ).
tff(f29193,plain,
( ( vgetExp(vreduceExp(ve2,sK450)) != sK433(vtypeAM(sK450),sK453) )
| spl483_460 ),
inference(avatar_component_clause,[],[f29192]) ).
tff(f29194,plain,
( ( vgetExp(vreduceExp(ve2,sK450)) = sK433(vtypeAM(sK450),sK453) )
| ~ spl483_460 ),
inference(avatar_component_clause,[],[f29192]) ).
tff(f30869,definition,
( spl483_500
<=> ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl483_500])],[avatar_definition]) ).
tff(f30870,plain,
( ! [X2: vExp,X0: vExp,X1: vBinOpT] :
( ( vbinop(ve1,sK451,ve2) != vbinop(X0,X1,X2) )
| ( sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = X1 ) )
| ~ spl483_500 ),
inference(avatar_component_clause,[],[f30869]) ).
tff(f30871,plain,
( spl483_500
| ~ spl483_113 ),
inference(avatar_split_clause,[],[f6638,f6629,f30869]) ).
tff(f30888,plain,
( ( sK451 = sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_500 ),
inference(equality_resolution,[],[f30870]) ).
tff(f30905,definition,
( spl483_501
<=> ( sK451 = sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) ) ),
introduced(definition,[new_symbols(definition,[spl483_501])],[avatar_definition]) ).
tff(f30907,plain,
( ( sK451 = sK434(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_501 ),
inference(avatar_component_clause,[],[f30905]) ).
tff(f30908,plain,
( spl483_501
| ~ spl483_500 ),
inference(avatar_split_clause,[],[f30888,f30869,f30905]) ).
tff(f30912,plain,
( ( vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vcheckBinOp(sK451,vgetAType(sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2))),vgetAType(sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)))) )
| ~ sP54(vtypeAM(sK450),vbinop(ve1,sK451,ve2))
| ~ spl483_501 ),
inference(superposition,[],[f1858,f30907]) ).
tff(f30915,plain,
( ( vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vcheckBinOp(sK451,vgetAType(sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2))),vgetAType(sK432(vtypeAM(sK450),vbinop(ve1,sK451,ve2)))) )
| ~ spl483_91
| ~ spl483_501 ),
inference(forward_subsumption_resolution,[],[f30912,f5276]) ).
tff(f30919,plain,
( ( vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vcheckBinOp(sK451,vgetAType(sK430(vtypeAM(sK450),vbinop(ve1,sK451,ve2))),vgetAType(vecheck(vtypeAM(sK450),ve2))) )
| ~ spl483_91
| ~ spl483_413
| ~ spl483_501 ),
inference(forward_demodulation,[],[f30915,f25885]) ).
tff(f30920,plain,
( ( vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) = vcheckBinOp(sK451,vgetAType(vecheck(vtypeAM(sK450),ve1)),vgetAType(vecheck(vtypeAM(sK450),ve2))) )
| ~ spl483_91
| ~ spl483_410
| ~ spl483_413
| ~ spl483_501 ),
inference(forward_demodulation,[],[f30919,f25811]) ).
tff(f31045,plain,
( ( vecheck(vtypeAM(sK450),sK453) = vecheck(vtypeAM(sK450),vbinop(ve1,sK451,ve2)) )
| ~ spl483_91
| ~ spl483_162
| ~ spl483_352
| ~ spl483_410
| ~ spl483_413
| ~ spl483_435
| ~ spl483_440
| ~ spl483_441
| ~ spl483_501 ),
inference(forward_demodulation,[],[f30920,f28608]) ).
tff(f31051,plain,
( ( vsomeAType(sK452) = vecheck(vtypeAM(sK450),sK453) )
| ~ spl483_5
| ~ spl483_91
| ~ spl483_162
| ~ spl483_352
| ~ spl483_410
| ~ spl483_413
| ~ spl483_435
| ~ spl483_440
| ~ spl483_441
| ~ spl483_501 ),
inference(forward_demodulation,[],[f31045,f2291]) ).
tff(f31055,plain,
( $false
| spl483_2
| ~ spl483_5
| ~ spl483_91
| ~ spl483_162
| ~ spl483_352
| ~ spl483_410
| ~ spl483_413
| ~ spl483_435
| ~ spl483_440
| ~ spl483_441
| ~ spl483_501 ),
inference(forward_subsumption_resolution,[],[f31051,f2240]) ).
tff(f31056,plain,
( spl483_2
| ~ spl483_5
| ~ spl483_91
| ~ spl483_162
| ~ spl483_352
| ~ spl483_410
| ~ spl483_413
| ~ spl483_435
| ~ spl483_440
| ~ spl483_441
| ~ spl483_501 ),
inference(avatar_contradiction_clause,[],[f31055]) ).
tff(f31060,plain,
( $false
| ~ spl483_339
| spl483_440
| ~ spl483_446 ),
inference(forward_subsumption_resolution,[],[f28677,f28577]) ).
tff(f31061,plain,
( ~ spl483_339
| spl483_440
| ~ spl483_446 ),
inference(avatar_contradiction_clause,[],[f31060]) ).
tff(f31372,plain,
( ( vecheck(vtypeAM(sK450),vgetExp(vreduceExp(ve2,sK450))) = sK432(vtypeAM(sK450),sK453) )
| ~ spl483_436
| ~ spl483_460 ),
inference(forward_demodulation,[],[f28500,f29194]) ).
tff(f31387,plain,
( ( vecheck(vtypeAM(sK450),ve2) = sK432(vtypeAM(sK450),sK453) )
| ~ spl483_377
| ~ spl483_436
| ~ spl483_460 ),
inference(forward_demodulation,[],[f31372,f24238]) ).
tff(f31391,plain,
( $false
| ~ spl483_377
| ~ spl483_436
| spl483_441
| ~ spl483_460 ),
inference(forward_subsumption_resolution,[],[f31387,f28596]) ).
tff(f31392,plain,
( ~ spl483_377
| ~ spl483_436
| spl483_441
| ~ spl483_460 ),
inference(avatar_contradiction_clause,[],[f31391]) ).
tff(f32095,plain,
( ( sK453 != sK453 )
| ( vgetExp(vreduceExp(ve2,sK450)) = sK433(vtypeAM(sK450),sK453) )
| ~ spl483_348
| ~ spl483_444 ),
inference(superposition,[],[f28635,f21491]) ).
tff(f32112,plain,
( ( vgetExp(vreduceExp(ve2,sK450)) = sK433(vtypeAM(sK450),sK453) )
| ~ spl483_348
| ~ spl483_444 ),
inference(trivial_inequality_removal,[],[f32095]) ).
tff(f32116,plain,
( $false
| ~ spl483_348
| ~ spl483_444
| spl483_460 ),
inference(forward_subsumption_resolution,[],[f32112,f29193]) ).
tff(f32117,plain,
( ~ spl483_348
| ~ spl483_444
| spl483_460 ),
inference(avatar_contradiction_clause,[],[f32116]) ).
cnf(s1,plain,
spl483_1,
inference(sat_conversion,[],[f2061]) ).
cnf(s2,plain,
~ spl483_2,
inference(sat_conversion,[],[f2241]) ).
cnf(s3,plain,
spl483_3,
inference(sat_conversion,[],[f2282]) ).
cnf(s4,plain,
spl483_4,
inference(sat_conversion,[],[f2287]) ).
cnf(s5,plain,
spl483_5,
inference(sat_conversion,[],[f2292]) ).
cnf(s6,plain,
~ spl483_6,
inference(sat_conversion,[],[f2297]) ).
cnf(s12,plain,
( ~ spl483_5
| spl483_15 ),
inference(sat_conversion,[],[f2720]) ).
cnf(s13,plain,
( ~ spl483_5
| spl483_16 ),
inference(sat_conversion,[],[f2767]) ).
cnf(s24,plain,
( ~ spl483_15
| spl483_27 ),
inference(sat_conversion,[],[f3039]) ).
cnf(s66,plain,
( ~ spl483_4
| spl483_6
| spl483_66 ),
inference(sat_conversion,[],[f4177]) ).
cnf(s70,plain,
( ~ spl483_4
| spl483_71 ),
inference(sat_conversion,[],[f4399]) ).
cnf(s88,plain,
( ~ spl483_66
| spl483_88 ),
inference(sat_conversion,[],[f5209]) ).
cnf(s90,plain,
( ~ spl483_5
| spl483_90
| spl483_91
| spl483_92
| spl483_93 ),
inference(sat_conversion,[],[f5285]) ).
cnf(s91,plain,
~ spl483_92,
inference(sat_conversion,[],[f5293]) ).
cnf(s94,plain,
( ~ spl483_5
| spl483_90
| spl483_91
| spl483_92
| ~ spl483_93
| spl483_96 ),
inference(sat_conversion,[],[f5510]) ).
cnf(s95,plain,
~ spl483_96,
inference(sat_conversion,[],[f5549]) ).
cnf(s97,plain,
~ spl483_90,
inference(sat_conversion,[],[f5594]) ).
cnf(s98,plain,
( ~ spl483_91
| spl483_98 ),
inference(sat_conversion,[],[f5656]) ).
cnf(s102,plain,
( ~ spl483_91
| ~ spl483_98
| spl483_102 ),
inference(sat_conversion,[],[f5894]) ).
cnf(s103,plain,
( ~ spl483_91
| ~ spl483_98
| spl483_103 ),
inference(sat_conversion,[],[f6005]) ).
cnf(s111,plain,
( ~ spl483_91
| spl483_113 ),
inference(sat_conversion,[],[f6632]) ).
cnf(s155,plain,
( ~ spl483_113
| spl483_158 ),
inference(sat_conversion,[],[f9444]) ).
cnf(s183,plain,
( ~ spl483_113
| spl483_192 ),
inference(sat_conversion,[],[f10402]) ).
cnf(s260,plain,
( ~ spl483_27
| spl483_269 ),
inference(sat_conversion,[],[f15124]) ).
cnf(s321,plain,
( ~ spl483_1
| ~ spl483_3
| ~ spl483_88
| spl483_332 ),
inference(sat_conversion,[],[f17576]) ).
cnf(s350,plain,
( ~ spl483_160
| spl483_337 ),
inference(sat_conversion,[],[f18338]) ).
cnf(s351,plain,
( ~ spl483_332
| ~ spl483_337 ),
inference(sat_conversion,[],[f18366]) ).
cnf(s356,plain,
( ~ spl483_162
| spl483_338 ),
inference(sat_conversion,[],[f18461]) ).
cnf(s357,plain,
( ~ spl483_162
| spl483_339 ),
inference(sat_conversion,[],[f18502]) ).
cnf(s368,plain,
( ~ spl483_163
| spl483_346 ),
inference(sat_conversion,[],[f18706]) ).
cnf(s369,plain,
( ~ spl483_332
| ~ spl483_346 ),
inference(sat_conversion,[],[f18762]) ).
cnf(s374,plain,
( ~ spl483_332
| spl483_348 ),
inference(sat_conversion,[],[f21492]) ).
cnf(s378,plain,
( ~ spl483_162
| ~ spl483_338
| spl483_352 ),
inference(sat_conversion,[],[f21547]) ).
cnf(s407,plain,
( ~ spl483_159
| ~ spl483_348 ),
inference(sat_conversion,[],[f22000]) ).
cnf(s408,plain,
( ~ spl483_161
| spl483_353 ),
inference(sat_conversion,[],[f22046]) ).
cnf(s409,plain,
( ~ spl483_161
| spl483_354 ),
inference(sat_conversion,[],[f22051]) ).
cnf(s419,plain,
( ~ spl483_161
| ~ spl483_353
| spl483_360 ),
inference(sat_conversion,[],[f22383]) ).
cnf(s421,plain,
( ~ spl483_161
| ~ spl483_353
| spl483_362 ),
inference(sat_conversion,[],[f22522]) ).
cnf(s434,plain,
( ~ spl483_269
| spl483_373 ),
inference(sat_conversion,[],[f23896]) ).
cnf(s435,plain,
( ~ spl483_348
| spl483_374 ),
inference(sat_conversion,[],[f23963]) ).
cnf(s438,plain,
( ~ spl483_71
| ~ spl483_373
| spl483_377 ),
inference(sat_conversion,[],[f24239]) ).
cnf(s470,plain,
( ~ spl483_158
| spl483_409 ),
inference(sat_conversion,[],[f25795]) ).
cnf(s471,plain,
( ~ spl483_102
| ~ spl483_409
| spl483_410 ),
inference(sat_conversion,[],[f25812]) ).
cnf(s473,plain,
( ~ spl483_192
| spl483_412 ),
inference(sat_conversion,[],[f25868]) ).
cnf(s474,plain,
( ~ spl483_103
| ~ spl483_412
| spl483_413 ),
inference(sat_conversion,[],[f25886]) ).
cnf(s479,plain,
( ~ spl483_348
| spl483_418 ),
inference(sat_conversion,[],[f26299]) ).
cnf(s485,plain,
( ~ spl483_354
| spl483_423 ),
inference(sat_conversion,[],[f26584]) ).
cnf(s486,plain,
( ~ spl483_348
| ~ spl483_423
| spl483_424 ),
inference(sat_conversion,[],[f26608]) ).
cnf(s487,plain,
( ~ spl483_360
| ~ spl483_424
| spl483_425 ),
inference(sat_conversion,[],[f26634]) ).
cnf(s493,plain,
( ~ spl483_354
| spl483_431 ),
inference(sat_conversion,[],[f27444]) ).
cnf(s494,plain,
( ~ spl483_348
| ~ spl483_431
| spl483_432 ),
inference(sat_conversion,[],[f27468]) ).
cnf(s495,plain,
( ~ spl483_362
| ~ spl483_377
| ~ spl483_432
| spl483_433 ),
inference(sat_conversion,[],[f27500]) ).
cnf(s496,plain,
( ~ spl483_15
| ~ spl483_16
| ~ spl483_161
| ~ spl483_425
| ~ spl483_433 ),
inference(sat_conversion,[],[f27509]) ).
cnf(s503,plain,
( spl483_159
| spl483_160
| spl483_161
| spl483_162
| spl483_163
| ~ spl483_374 ),
inference(sat_conversion,[],[f27776]) ).
cnf(s531,plain,
( ~ spl483_339
| ~ spl483_418
| spl483_435 ),
inference(sat_conversion,[],[f28496]) ).
cnf(s532,plain,
( ~ spl483_162
| ~ spl483_338
| spl483_436 ),
inference(sat_conversion,[],[f28501]) ).
cnf(s541,plain,
( ~ spl483_339
| spl483_444 ),
inference(sat_conversion,[],[f28636]) ).
cnf(s544,plain,
( ~ spl483_348
| spl483_446 ),
inference(sat_conversion,[],[f28661]) ).
cnf(s600,plain,
( ~ spl483_113
| spl483_500 ),
inference(sat_conversion,[],[f30871]) ).
cnf(s601,plain,
( ~ spl483_500
| spl483_501 ),
inference(sat_conversion,[],[f30908]) ).
cnf(s609,plain,
( spl483_2
| ~ spl483_5
| ~ spl483_91
| ~ spl483_162
| ~ spl483_352
| ~ spl483_410
| ~ spl483_413
| ~ spl483_435
| ~ spl483_440
| ~ spl483_441
| ~ spl483_501 ),
inference(sat_conversion,[],[f31056]) ).
cnf(s610,plain,
( ~ spl483_339
| spl483_440
| ~ spl483_446 ),
inference(sat_conversion,[],[f31061]) ).
cnf(s619,plain,
( ~ spl483_377
| ~ spl483_436
| spl483_441
| ~ spl483_460 ),
inference(sat_conversion,[],[f31392]) ).
cnf(s627,plain,
( ~ spl483_348
| ~ spl483_444
| spl483_460 ),
inference(sat_conversion,[],[f32117]) ).
cnf(s706,plain,
( ~ spl483_5
| spl483_91
| spl483_92
| ~ spl483_93 ),
inference(rat,[],[s94,s95,s97]) ).
cnf(s707,plain,
( ~ spl483_5
| spl483_91
| spl483_93 ),
inference(rat,[],[s90,s91,s97]) ).
cnf(s717,plain,
spl483_16,
inference(rat,[],[s13,s5]) ).
cnf(s718,plain,
spl483_15,
inference(rat,[],[s12,s5]) ).
cnf(s720,plain,
spl483_27,
inference(rat,[],[s24,s718]) ).
cnf(s721,plain,
spl483_269,
inference(rat,[],[s260,s720]) ).
cnf(s722,plain,
spl483_373,
inference(rat,[],[s434,s721]) ).
cnf(s725,plain,
spl483_71,
inference(rat,[],[s70,s4]) ).
cnf(s726,plain,
spl483_66,
inference(rat,[],[s66,s6,s4]) ).
cnf(s732,plain,
spl483_377,
inference(rat,[],[s438,s722,s725]) ).
cnf(s734,plain,
spl483_88,
inference(rat,[],[s88,s726]) ).
cnf(s767,plain,
spl483_332,
inference(rat,[],[s321,s3,s734,s1]) ).
cnf(s771,plain,
spl483_348,
inference(rat,[],[s374,s767]) ).
cnf(s772,plain,
~ spl483_346,
inference(rat,[],[s369,s767]) ).
cnf(s773,plain,
~ spl483_337,
inference(rat,[],[s351,s767]) ).
cnf(s778,plain,
spl483_446,
inference(rat,[],[s544,s771]) ).
cnf(s779,plain,
spl483_418,
inference(rat,[],[s479,s771]) ).
cnf(s782,plain,
spl483_374,
inference(rat,[],[s435,s771]) ).
cnf(s785,plain,
~ spl483_159,
inference(rat,[],[s407,s771]) ).
cnf(s787,plain,
~ spl483_163,
inference(rat,[],[s368,s772]) ).
cnf(s792,plain,
~ spl483_160,
inference(rat,[],[s350,s773]) ).
cnf(s801,plain,
spl483_91,
inference(rat,[],[s707,s706,s5,s91]) ).
cnf(s802,plain,
spl483_113,
inference(rat,[],[s111,s801]) ).
cnf(s807,plain,
spl483_98,
inference(rat,[],[s98,s801]) ).
cnf(s808,plain,
spl483_500,
inference(rat,[],[s600,s802]) ).
cnf(s810,plain,
spl483_192,
inference(rat,[],[s183,s802]) ).
cnf(s811,plain,
spl483_158,
inference(rat,[],[s155,s802]) ).
cnf(s812,plain,
spl483_103,
inference(rat,[],[s103,s801,s807]) ).
cnf(s813,plain,
spl483_102,
inference(rat,[],[s102,s801,s807]) ).
cnf(s814,plain,
spl483_501,
inference(rat,[],[s601,s808]) ).
cnf(s815,plain,
spl483_412,
inference(rat,[],[s473,s810]) ).
cnf(s816,plain,
spl483_409,
inference(rat,[],[s470,s811]) ).
cnf(s817,plain,
spl483_413,
inference(rat,[],[s474,s812,s815]) ).
cnf(s820,plain,
spl483_410,
inference(rat,[],[s471,s813,s816]) ).
cnf(s821,plain,
~ spl483_162,
inference(rat,[],[s609,s619,s627,s378,s532,s531,s541,s610,s356,s357,s5,s2,s801,s820,s817,s814,s732,s771,s779,s778]) ).
cnf(s822,plain,
spl483_161,
inference(rat,[],[s503,s782,s787,s792,s785,s821]) ).
cnf(s827,plain,
spl483_354,
inference(rat,[],[s409,s822]) ).
cnf(s828,plain,
spl483_353,
inference(rat,[],[s408,s822]) ).
cnf(s835,plain,
spl483_431,
inference(rat,[],[s493,s827]) ).
cnf(s836,plain,
spl483_423,
inference(rat,[],[s485,s827]) ).
cnf(s840,plain,
spl483_362,
inference(rat,[],[s421,s822,s828]) ).
cnf(s841,plain,
spl483_360,
inference(rat,[],[s419,s822,s828]) ).
cnf(s844,plain,
spl483_432,
inference(rat,[],[s494,s771,s835]) ).
cnf(s845,plain,
spl483_424,
inference(rat,[],[s486,s771,s836]) ).
cnf(s851,plain,
spl483_433,
inference(rat,[],[s495,s840,s732,s844]) ).
cnf(s852,plain,
spl483_425,
inference(rat,[],[s487,s841,s845]) ).
cnf(s854,plain,
$false,
inference(rat,[],[s496,s822,s718,s717,s851,s852]) ).
tff(f32120,plain,
$false,
inference(avatar_sat_refutation,[],[s854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM272_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.15 % Computer : n012.cluster.edu
% 0.06/0.15 % Model : x86_64 x86_64
% 0.06/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.15 % Memory : 8046.5625MB
% 0.06/0.15 % OS : Linux 6.8.0-71-generic
% 0.06/0.15 % CPULimit : 300
% 0.06/0.15 % WCLimit : 300
% 0.06/0.15 % DateTime : Mon Sep 28 22:03:19 UTC 2026
% 0.06/0.15 % CPUTime :
% 0.06/0.15 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 Running first-order theorem proving
% 0.06/0.18 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.40/2.59 % (3836485)Detected formulas, will run a generic FOF schedule.
% 13.40/2.59 % (3836493)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=2794225455:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.40/2.59 % (3836498)dis-21_1_sil=8000:lcm=predicate:random_seed=2603827683: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)
% 13.40/2.59 % (3836497)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2591091367:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.40/2.59 % (3836495)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2261429664:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.40/2.59 % (3836492)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=2927996912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.40/2.59 % (3836496)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=224741598:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.40/2.59 % (3836494)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=1533233194:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.40/2.59 % (3836495)Instruction limit reached!
% 13.40/2.59 % (3836495)------------------------------
% 13.40/2.59 % (3836495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.59 % (3836495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.59 % (3836495)CaDiCaL version: 2.1.3
% 13.40/2.59 % (3836495)Termination reason: Instruction limit
% 13.40/2.59 % (3836495)Termination phase: Saturation
% 13.40/2.59 % (3836495)Time elapsed: 0.053 s
% 13.40/2.59 % (3836495)Peak memory usage: 89 MB
% 13.40/2.59 % (3836495)Instructions burned: 109 (million)
% 13.40/2.59 % (3836498)Instruction limit reached!
% 13.40/2.59 % (3836498)------------------------------
% 13.40/2.59 % (3836498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.59 % (3836498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.59 % (3836498)CaDiCaL version: 2.1.3
% 13.40/2.59 % (3836498)Termination reason: Instruction limit
% 13.40/2.59 % (3836498)Termination phase: Saturation
% 13.40/2.59 % (3836498)Time elapsed: 0.063 s
% 13.40/2.59 % (3836498)Peak memory usage: 90 MB
% 13.40/2.59 % (3836498)Instructions burned: 130 (million)
% 13.40/2.59 % (3836496)Instruction limit reached!
% 13.40/2.59 % (3836496)------------------------------
% 13.40/2.59 % (3836496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.59 % (3836496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.59 % (3836496)CaDiCaL version: 2.1.3
% 13.40/2.59 % (3836496)Termination reason: Instruction limit
% 13.40/2.59 % (3836496)Termination phase: Saturation
% 13.40/2.59 % (3836496)Time elapsed: 0.063 s
% 13.40/2.59 % (3836496)Peak memory usage: 89 MB
% 13.40/2.59 % (3836496)Instructions burned: 126 (million)
% 13.40/2.59 % (3836497)Instruction limit reached!
% 13.40/2.59 % (3836497)------------------------------
% 13.40/2.59 % (3836497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.40/2.59 % (3836497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.59 % (3836497)CaDiCaL version: 2.1.3
% 13.40/2.59 % (3836497)Termination reason: Instruction limit
% 13.40/2.59 % (3836497)Termination phase: Saturation
% 13.40/2.59 % (3836497)Time elapsed: 0.074 s
% 13.40/2.59 % (3836497)Peak memory usage: 90 MB
% 13.40/2.59 % (3836497)Instructions burned: 141 (million)
% 13.40/2.59 % (3836508)lrs+10_1_sil=8000:sp=occurrence:random_seed=1942408546:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.40/2.59 % (3836510)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2129953964:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.40/2.59 % (3836509)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2590569915:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.40/2.59 % (3836511)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=2697732794:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.40/2.59 % (3836509)Instruction limit reached!
% 20.82/3.63 % (3836509)------------------------------
% 20.82/3.63 % (3836509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.82/3.63 % (3836509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.63 % (3836509)CaDiCaL version: 2.1.3
% 20.82/3.63 % (3836509)Termination reason: Instruction limit
% 20.82/3.63 % (3836509)Termination phase: Saturation
% 20.82/3.63 % (3836509)Time elapsed: 0.086 s
% 20.82/3.63 % (3836509)Peak memory usage: 90 MB
% 20.82/3.63 % (3836509)Instructions burned: 157 (million)
% 20.82/3.63 % (3836508)Instruction limit reached!
% 20.82/3.63 % (3836508)------------------------------
% 20.82/3.63 % (3836508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.82/3.63 % (3836508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.63 % (3836508)CaDiCaL version: 2.1.3
% 20.82/3.63 % (3836508)Termination reason: Instruction limit
% 20.82/3.63 % (3836508)Termination phase: Saturation
% 20.82/3.63 % (3836508)Time elapsed: 0.155 s
% 20.82/3.63 % (3836508)Peak memory usage: 90 MB
% 20.82/3.63 % (3836508)Instructions burned: 286 (million)
% 20.82/3.63 % (3836511)Instruction limit reached!
% 20.82/3.63 % (3836511)------------------------------
% 20.82/3.63 % (3836511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.82/3.63 % (3836511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.63 % (3836511)CaDiCaL version: 2.1.3
% 20.82/3.63 % (3836511)Termination reason: Instruction limit
% 20.82/3.63 % (3836511)Termination phase: Saturation
% 20.82/3.63 % (3836511)Time elapsed: 0.130 s
% 20.82/3.63 % (3836511)Peak memory usage: 91 MB
% 20.82/3.63 % (3836511)Instructions burned: 249 (million)
% 20.82/3.63 % (3836510)Instruction limit reached!
% 20.82/3.63 % (3836510)------------------------------
% 20.82/3.63 % (3836510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.82/3.63 % (3836510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.63 % (3836510)CaDiCaL version: 2.1.3
% 20.82/3.63 % (3836510)Termination reason: Instruction limit
% 20.82/3.63 % (3836510)Termination phase: Saturation
% 20.82/3.63 % (3836510)Time elapsed: 0.170 s
% 20.82/3.63 % (3836510)Peak memory usage: 92 MB
% 20.82/3.63 % (3836510)Instructions burned: 326 (million)
% 20.82/3.63 % (3836516)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1879215464:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 20.82/3.63 % (3836517)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=499810801:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 20.82/3.63 % (3836518)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2382998904:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 20.82/3.63 % (3836519)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1136860000:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 20.82/3.63 % (3836518)Instruction limit reached!
% 20.82/3.63 % (3836518)------------------------------
% 20.82/3.63 % (3836518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.82/3.63 % (3836518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.63 % (3836518)CaDiCaL version: 2.1.3
% 20.82/3.63 % (3836518)Termination reason: Instruction limit
% 20.82/3.63 % (3836518)Termination phase: Saturation
% 20.82/3.63 % (3836518)Time elapsed: 0.063 s
% 20.82/3.63 % (3836518)Peak memory usage: 91 MB
% 20.82/3.63 % (3836518)Instructions burned: 114 (million)
% 20.82/3.63 % (3836519)Instruction limit reached!
% 20.82/3.63 % (3836519)------------------------------
% 20.82/3.63 % (3836519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.82/3.63 % (3836516)Instruction limit reached!
% 20.82/3.63 % (3836516)------------------------------
% 20.82/3.63 % (3836516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.82/3.63 % (3836516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.63 % (3836519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.63 % (3836516)CaDiCaL version: 2.1.3
% 20.82/3.63 % (3836519)CaDiCaL version: 2.1.3
% 20.82/3.63 % (3836516)Termination reason: Instruction limit
% 20.82/3.63 % (3836516)Termination phase: Saturation
% 20.82/3.63 % (3836519)Termination reason: Instruction limit
% 20.82/3.63 % (3836519)Termination phase: Saturation
% 20.82/3.63 % (3836516)Time elapsed: 0.148 s
% 20.82/3.63 % (3836519)Time elapsed: 0.057 s
% 20.82/3.63 % (3836516)Peak memory usage: 91 MB
% 19.07/3.92 % (3836519)Peak memory usage: 89 MB
% 19.07/3.92 % (3836516)Instructions burned: 294 (million)
% 19.07/3.92 % (3836519)Instructions burned: 129 (million)
% 19.07/3.92 % (3836524)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3618887207:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 19.07/3.92 % (3836526)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2223140783:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 19.07/3.92 % (3836525)lrs+10_1_sil=8000:sp=occurrence:random_seed=3006410998:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 19.07/3.92 % (3836524)Instruction limit reached!
% 19.07/3.92 % (3836524)------------------------------
% 19.07/3.92 % (3836524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836524)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836524)Termination reason: Instruction limit
% 19.07/3.92 % (3836524)Termination phase: Saturation
% 19.07/3.92 % (3836524)Time elapsed: 0.049 s
% 19.07/3.92 % (3836524)Peak memory usage: 89 MB
% 19.07/3.92 % (3836524)Instructions burned: 116 (million)
% 19.07/3.92 % (3836526)Instruction limit reached!
% 19.07/3.92 % (3836526)------------------------------
% 19.07/3.92 % (3836526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836526)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836526)Termination reason: Instruction limit
% 19.07/3.92 % (3836526)Termination phase: Saturation
% 19.07/3.92 % (3836526)Time elapsed: 0.134 s
% 19.07/3.92 % (3836526)Peak memory usage: 93 MB
% 19.07/3.92 % (3836526)Instructions burned: 440 (million)
% 19.07/3.92 % (3836530)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2044808569:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 19.07/3.92 % (3836531)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1869052783:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 19.07/3.92 % (3836531)Instruction limit reached!
% 19.07/3.92 % (3836531)------------------------------
% 19.07/3.92 % (3836531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836531)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836531)Termination reason: Instruction limit
% 19.07/3.92 % (3836531)Termination phase: Saturation
% 19.07/3.92 % (3836531)Time elapsed: 0.035 s
% 19.07/3.92 % (3836531)Peak memory usage: 90 MB
% 19.07/3.92 % (3836531)Instructions burned: 137 (million)
% 19.07/3.92 % (3836525)Instruction limit reached!
% 19.07/3.92 % (3836525)------------------------------
% 19.07/3.92 % (3836525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836525)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836525)Termination reason: Instruction limit
% 19.07/3.92 % (3836525)Termination phase: Saturation
% 19.07/3.92 % (3836525)Time elapsed: 0.457 s
% 19.07/3.92 % (3836525)Peak memory usage: 95 MB
% 19.07/3.92 % (3836525)Instructions burned: 908 (million)
% 19.07/3.92 % (3836534)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1593715804:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 19.07/3.92 % (3836536)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4011287753:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 19.07/3.92 % (3836534)Instruction limit reached!
% 19.07/3.92 % (3836534)------------------------------
% 19.07/3.92 % (3836534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836534)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836534)Termination reason: Instruction limit
% 19.07/3.92 % (3836534)Termination phase: Saturation
% 19.07/3.92 % (3836534)Time elapsed: 0.264 s
% 19.07/3.92 % (3836534)Peak memory usage: 96 MB
% 19.07/3.92 % (3836534)Instructions burned: 593 (million)
% 19.07/3.92 % (3836517)Instruction limit reached!
% 19.07/3.92 % (3836517)------------------------------
% 19.07/3.92 % (3836517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836517)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836517)Termination reason: Instruction limit
% 19.07/3.92 % (3836517)Termination phase: Saturation
% 19.07/3.92 % (3836517)Time elapsed: 1.267 s
% 19.07/3.92 % (3836517)Peak memory usage: 143 MB
% 19.07/3.92 % (3836517)Instructions burned: 2350 (million)
% 19.07/3.92 % (3836538)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=1487117105:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 19.07/3.92 % (3836538)Instruction limit reached!
% 19.07/3.92 % (3836538)------------------------------
% 19.07/3.92 % (3836538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836538)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836538)Termination reason: Instruction limit
% 19.07/3.92 % (3836538)Termination phase: Saturation
% 19.07/3.92 % (3836538)Time elapsed: 0.072 s
% 19.07/3.92 % (3836538)Peak memory usage: 91 MB
% 19.07/3.92 % (3836538)Instructions burned: 126 (million)
% 19.07/3.92 % (3836539)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3237244052:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 19.07/3.92 % (3836541)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3010658898:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 19.07/3.92 % (3836541)Refutation not found, incomplete strategy
% 19.07/3.92 % (3836541)------------------------------
% 19.07/3.92 % (3836541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836541)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836541)Termination reason: Refutation not found, incomplete strategy
% 19.07/3.92 % (3836541)Time elapsed: 0.002 s
% 19.07/3.92 % (3836541)Peak memory usage: 89 MB
% 19.07/3.92 % (3836541)Instructions burned: 3 (million)
% 19.07/3.92 % (3836539)Instruction limit reached!
% 19.07/3.92 % (3836539)------------------------------
% 19.07/3.92 % (3836539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836539)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836539)Termination reason: Instruction limit
% 19.07/3.92 % (3836539)Termination phase: Saturation
% 19.07/3.92 % (3836539)Time elapsed: 0.072 s
% 19.07/3.92 % (3836539)Peak memory usage: 91 MB
% 19.07/3.92 % (3836539)Instructions burned: 135 (million)
% 19.07/3.92 % (3836541)------------------------------
% 19.07/3.92 % (3836541)------------------------------
% 19.07/3.92 % (3836546)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1521220036:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 19.07/3.92 % (3836546)Refutation not found, incomplete strategy
% 19.07/3.92 % (3836546)------------------------------
% 19.07/3.92 % (3836546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836546)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836546)Termination reason: Refutation not found, incomplete strategy
% 19.07/3.92 % (3836546)Time elapsed: 0.014 s
% 19.07/3.92 % (3836546)Peak memory usage: 89 MB
% 19.07/3.92 % (3836546)Instructions burned: 28 (million)
% 19.07/3.92 % (3836549)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=2360847095:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 19.07/3.92 % (3836546)------------------------------
% 19.07/3.92 % (3836546)------------------------------
% 19.07/3.92 % (3836552)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=2420583955:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 19.07/3.92 % (3836530)Instruction limit reached!
% 19.07/3.92 % (3836530)------------------------------
% 19.07/3.92 % (3836530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836530)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836530)Termination reason: Instruction limit
% 19.07/3.92 % (3836530)Termination phase: Saturation
% 19.07/3.92 % (3836530)Time elapsed: 1.723 s
% 19.07/3.92 % (3836530)Peak memory usage: 143 MB
% 19.07/3.92 % (3836530)Instructions burned: 5203 (million)
% 19.07/3.92 % (3836494)First to succeed.
% 19.07/3.92 % (3836494)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3836485"
% 19.07/3.92 % (3836552)Instruction limit reached!
% 19.07/3.92 % (3836552)------------------------------
% 19.07/3.92 % (3836552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.92 % (3836552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.92 % (3836552)CaDiCaL version: 2.1.3
% 19.07/3.92 % (3836552)Termination reason: Instruction limit
% 19.07/3.92 % (3836552)Termination phase: Saturation
% 19.07/3.92 % (3836552)Time elapsed: 0.085 s
% 19.07/3.92 % (3836552)Peak memory usage: 92 MB
% 19.07/3.92 % (3836552)Instructions burned: 151 (million)
% 19.07/3.92 % (3836554)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4158610057:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 19.07/3.92 % (3836494)Refutation found. Thanks to Tanya!
% 19.07/3.92 % SZS status Theorem for theBenchmark
% 19.07/3.92 % SZS output start Proof for theBenchmark
% See solution above
% 23.99/4.10 % (3836494)------------------------------
% 23.99/4.10 % (3836494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.99/4.10 % (3836494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.99/4.10 % (3836494)CaDiCaL version: 2.1.3
% 23.99/4.10 % (3836494)Termination reason: Refutation
% 23.99/4.10 % (3836494)Time elapsed: 2.918 s
% 23.99/4.10 % (3836494)Peak memory usage: 166 MB
% 23.99/4.10 % (3836494)Instructions burned: 5830 (million)
% 23.99/4.10 % (3836494)------------------------------
% 23.99/4.10 % (3836494)------------------------------
% 23.99/4.10 % (3836485)Success in time 3.361 s
% 23.99/4.10 % Vampire exiting
%------------------------------------------------------------------------------