%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM266_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 : n004.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 09:39:56 AM UTC 2026
% Result : Theorem 6.39s 1.75s
% Output : Refutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 61
% Syntax : Number of formulae : 385 ( 53 unt; 0 typ; 50 def)
% Number of atoms : 1742 ( 595 equ)
% Maximal formula atoms : 100 ( 4 avg)
% Number of connectives : 1987 ( 630 ~; 936 |; 379 &)
% ( 36 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 135 ( 133 usr; 37 prp; 0-5 aty)
% Number of functors : 517 ( 517 usr; 37 con; 0-5 aty)
% Number of variables : 966 ( 0 sgn 635 !; 331 ?; 966 :)
% 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,
vT: vstring > vAval ).
tff(func_def_13,type,
vNumber: vAType ).
tff(func_def_14,type,
vdivop: vBinOpT ).
tff(func_def_15,type,
vzero: vnat ).
tff(func_def_16,type,
vsucc: vnat > vnat ).
tff(func_def_17,type,
vabind: ( vQID * vAval * vAnsMap ) > vAnsMap ).
tff(func_def_18,type,
vnoAval: vOptAval ).
tff(func_def_19,type,
vYesNo: vAType ).
tff(func_def_20,type,
vdefquestion: ( vQID * vLabel * vAType ) > vEntry ).
tff(func_def_21,type,
vunop: ( vUnOpT * vExp ) > vExp ).
tff(func_def_22,type,
vaempty: vAnsMap ).
tff(func_def_23,type,
vatempty: vATList ).
tff(func_def_24,type,
vscons: ( vchar * vstring ) > vstring ).
tff(func_def_25,type,
vqseq: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_26,type,
vmulop: vBinOpT ).
tff(func_def_27,type,
vqempty: vQuestionnaire ).
tff(func_def_28,type,
vsomeQConf: vQConf > vOptQConf ).
tff(func_def_29,type,
vnoQConf: vOptQConf ).
tff(func_def_30,type,
vnoExp: vOptExp ).
tff(func_def_31,type,
vbinop: ( vExp * vBinOpT * vExp ) > vExp ).
tff(func_def_32,type,
vB: vYN > vAval ).
tff(func_def_33,type,
vQC: ( vAnsMap * vQMap * vQuestionnaire ) > vQConf ).
tff(func_def_34,type,
vorop: vBinOpT ).
tff(func_def_35,type,
veqop: vBinOpT ).
tff(func_def_36,type,
vatcons: ( vAType * vATList ) > vATList ).
tff(func_def_37,type,
vText: vAType ).
tff(func_def_38,type,
vsomeAval: vAval > vOptAval ).
tff(func_def_39,type,
vqsingle: vEntry > vQuestionnaire ).
tff(func_def_40,type,
vMC: ( vATMap * vATMap ) > vMapConf ).
tff(func_def_41,type,
vaddop: vBinOpT ).
tff(func_def_42,type,
vsomeQuestion: ( vQID * vLabel * vAType ) > vOptQuestion ).
tff(func_def_43,type,
vltop: vBinOpT ).
tff(func_def_44,type,
vqvar: vQID > vExp ).
tff(func_def_45,type,
vnoMapConf: vOptMapConf ).
tff(func_def_46,type,
vatmbind: ( vQID * vAType * vATMap ) > vATMap ).
tff(func_def_47,type,
vgtop: vBinOpT ).
tff(func_def_48,type,
vsempty: vstring ).
tff(func_def_49,type,
vqmbind: ( vQID * vLabel * vAType * vQMap ) > vQMap ).
tff(func_def_50,type,
vask: vQID > vEntry ).
tff(func_def_51,type,
vsomeAType: vAType > vOptAType ).
tff(func_def_52,type,
vnoQuestion: vOptQuestion ).
tff(func_def_53,type,
vqgroup: ( vGID * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_54,type,
vatmempty: vATMap ).
tff(func_def_55,type,
vno: vYN ).
tff(func_def_56,type,
vvalue: ( vQID * vAType * vExp ) > vEntry ).
tff(func_def_57,type,
vgetAnswer: ( vLabel * vAType ) > vAval ).
tff(func_def_58,type,
vecheck: ( vATMap * vExp ) > vOptAType ).
tff(func_def_59,type,
vgetAM: vQConf > vAnsMap ).
tff(func_def_60,type,
venumGID: vGID > vGID ).
tff(func_def_61,type,
vaskText: vLabel > vstring ).
tff(func_def_62,type,
vminus: ( vnat * vnat ) > vnat ).
tff(func_def_63,type,
vtypeOf: vAval > vAType ).
tff(func_def_64,type,
vevalBinOp: ( vBinOpT * vAval * vAval ) > vOptExp ).
tff(func_def_65,type,
vgetQM: vQConf > vQMap ).
tff(func_def_66,type,
vinitQID: vQID ).
tff(func_def_67,type,
vplus: ( vnat * vnat ) > vnat ).
tff(func_def_68,type,
vaskYesNo: vLabel > vYN ).
tff(func_def_69,type,
vtypeAM: vAnsMap > vATMap ).
tff(func_def_70,type,
vlookupQMap: ( vQID * vQMap ) > vOptQuestion ).
tff(func_def_71,type,
vaskNumber: vLabel > vnat ).
tff(func_def_72,type,
vinitLabel: vLabel ).
tff(func_def_73,type,
vdivide: ( vnat * vnat ) > vnat ).
tff(func_def_74,type,
vappendATMap: ( vATMap * vATMap ) > vATMap ).
tff(func_def_75,type,
vor: ( vYN * vYN ) > vYN ).
tff(func_def_76,type,
vpred: vnat > vnat ).
tff(func_def_77,type,
vlookupATMap: ( vQID * vATMap ) > vOptAType ).
tff(func_def_78,type,
vqcappend: ( vQConf * vQuestionnaire ) > vQConf ).
tff(func_def_79,type,
venumchar: vchar > vchar ).
tff(func_def_80,type,
vinitchar: vchar ).
tff(func_def_81,type,
vgetQuest: vQConf > vQuestionnaire ).
tff(func_def_82,type,
vevalUnOp: ( vUnOpT * vAval ) > vOptExp ).
tff(func_def_83,type,
vcheckBinOp: ( vBinOpT * vAType * vAType ) > vOptAType ).
tff(func_def_84,type,
vnot: vYN > vYN ).
tff(func_def_85,type,
vreduce: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).
tff(func_def_86,type,
vmultiply: ( vnat * vnat ) > vnat ).
tff(func_def_87,type,
vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_88,type,
vcheckUnOp: ( vUnOpT * vAType ) > vOptAType ).
tff(func_def_89,type,
vtypeQM: vQMap > vATMap ).
tff(func_def_90,type,
vintersectATM: ( vATMap * vATMap ) > vATMap ).
tff(func_def_91,type,
venumLabel: vLabel > vLabel ).
tff(func_def_92,type,
vinitGID: vGID ).
tff(func_def_93,type,
vlt: ( vnat * vnat ) > vYN ).
tff(func_def_94,type,
vgt: ( vnat * vnat ) > vYN ).
tff(func_def_95,type,
vlookupAnsMap: ( vQID * vAnsMap ) > vOptAval ).
tff(func_def_96,type,
vreduceExp: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_97,type,
venumQID: vQID > vQID ).
tff(func_def_98,type,
vand: ( vYN * vYN ) > vYN ).
tff(func_def_99,type,
vappend: ( vATList * vATList ) > vATList ).
tff(func_def_100,type,
vgetQuestionQID: vOptQuestion > vQID ).
tff(func_def_101,type,
vgetMapConf: vOptMapConf > vMapConf ).
tff(func_def_102,type,
vgetQuestionLabel: vOptQuestion > vLabel ).
tff(func_def_103,type,
vgetAType: vOptAType > vAType ).
tff(func_def_104,type,
vgetQuestionAType: vOptQuestion > vAType ).
tff(func_def_105,type,
vgetQC: vOptQConf > vQConf ).
tff(func_def_106,type,
vgetExpValue: vExp > vAval ).
tff(func_def_107,type,
vgetAval: vOptAval > vAval ).
tff(func_def_108,type,
vgetExp: vOptExp > vExp ).
tff(func_def_109,type,
sK59: vEntry > vQID ).
tff(func_def_110,type,
sK60: vEntry > vLabel ).
tff(func_def_111,type,
sK61: vEntry > vAType ).
tff(func_def_112,type,
sK62: vEntry > vQID ).
tff(func_def_113,type,
sK63: vEntry > vAType ).
tff(func_def_114,type,
sK64: vEntry > vExp ).
tff(func_def_115,type,
sK65: vEntry > vQID ).
tff(func_def_116,type,
sK66: vEntry > vLabel ).
tff(func_def_117,type,
sK67: vEntry > vAType ).
tff(func_def_118,type,
sK68: vEntry > vQID ).
tff(func_def_119,type,
sK69: vQMap > vQID ).
tff(func_def_120,type,
sK70: vQMap > vLabel ).
tff(func_def_121,type,
sK71: vQMap > vAType ).
tff(func_def_122,type,
sK72: vQMap > vQMap ).
tff(func_def_123,type,
sK73: vMapConf > vATMap ).
tff(func_def_124,type,
sK74: vMapConf > vATMap ).
tff(func_def_125,type,
sK75: vExp > vAval ).
tff(func_def_126,type,
sK76: vExp > vQID ).
tff(func_def_127,type,
sK77: vExp > vExp ).
tff(func_def_128,type,
sK78: vExp > vBinOpT ).
tff(func_def_129,type,
sK79: vExp > vExp ).
tff(func_def_130,type,
sK80: vExp > vUnOpT ).
tff(func_def_131,type,
sK81: vExp > vExp ).
tff(func_def_132,type,
sK82: vnat > vnat ).
tff(func_def_133,type,
sK83: vQuestionnaire > vEntry ).
tff(func_def_134,type,
sK84: vQuestionnaire > vQuestionnaire ).
tff(func_def_135,type,
sK85: vQuestionnaire > vQuestionnaire ).
tff(func_def_136,type,
sK86: vQuestionnaire > vExp ).
tff(func_def_137,type,
sK87: vQuestionnaire > vQuestionnaire ).
tff(func_def_138,type,
sK88: vQuestionnaire > vQuestionnaire ).
tff(func_def_139,type,
sK89: vQuestionnaire > vGID ).
tff(func_def_140,type,
sK90: vQuestionnaire > vQuestionnaire ).
tff(func_def_141,type,
sK91: vOptQConf > vQConf ).
tff(func_def_142,type,
sK92: vOptAType > vAType ).
tff(func_def_143,type,
sK93: vAval > vYN ).
tff(func_def_144,type,
sK94: vAval > vnat ).
tff(func_def_145,type,
sK95: vAval > vstring ).
tff(func_def_146,type,
sK96: vOptExp > vExp ).
tff(func_def_147,type,
sK97: vAnsMap > vQID ).
tff(func_def_148,type,
sK98: vAnsMap > vAval ).
tff(func_def_149,type,
sK99: vAnsMap > vAnsMap ).
tff(func_def_150,type,
sK100: vATList > vAType ).
tff(func_def_151,type,
sK101: vATList > vATList ).
tff(func_def_152,type,
sK102: vOptQuestion > vQID ).
tff(func_def_153,type,
sK103: vOptQuestion > vLabel ).
tff(func_def_154,type,
sK104: vOptQuestion > vAType ).
tff(func_def_155,type,
sK105: vATMap > vQID ).
tff(func_def_156,type,
sK106: vATMap > vAType ).
tff(func_def_157,type,
sK107: vATMap > vATMap ).
tff(func_def_158,type,
sK108: vstring > vchar ).
tff(func_def_159,type,
sK109: vstring > vstring ).
tff(func_def_160,type,
sK110: vOptMapConf > vMapConf ).
tff(func_def_161,type,
sK111: vQConf > vAnsMap ).
tff(func_def_162,type,
sK112: vQConf > vQMap ).
tff(func_def_163,type,
sK113: vQConf > vQuestionnaire ).
tff(func_def_164,type,
sK114: vOptAval > vAval ).
tff(func_def_165,type,
sK115: ( vYN * vYN ) > vYN ).
tff(func_def_166,type,
sK116: ( vYN * vYN ) > vYN ).
tff(func_def_167,type,
sK117: ( vYN * vYN ) > vYN ).
tff(func_def_168,type,
sK118: ( vYN * vYN ) > vYN ).
tff(func_def_169,type,
sK119: vnat > vnat ).
tff(func_def_170,type,
sK120: ( vnat * vnat ) > vnat ).
tff(func_def_171,type,
sK121: ( vnat * vnat ) > vnat ).
tff(func_def_172,type,
sK122: ( vnat * vnat ) > vnat ).
tff(func_def_173,type,
sK123: ( vnat * vnat ) > vnat ).
tff(func_def_174,type,
sK124: ( vnat * vnat ) > vnat ).
tff(func_def_175,type,
sK125: ( vnat * vnat ) > vnat ).
tff(func_def_176,type,
sK126: ( vnat * vnat ) > vnat ).
tff(func_def_177,type,
sK127: ( vnat * vnat ) > vnat ).
tff(func_def_178,type,
sK128: ( vnat * vnat ) > vnat ).
tff(func_def_179,type,
sK129: ( vnat * vnat ) > vnat ).
tff(func_def_180,type,
sK130: ( vnat * vnat ) > vnat ).
tff(func_def_181,type,
sK131: ( vnat * vnat ) > vnat ).
tff(func_def_182,type,
sK132: ( vnat * vnat ) > vnat ).
tff(func_def_183,type,
sK133: ( vnat * vnat ) > vnat ).
tff(func_def_184,type,
sK134: ( vnat * vnat ) > vnat ).
tff(func_def_185,type,
sK135: ( vnat * vnat ) > vnat ).
tff(func_def_186,type,
sK136: ( vnat * vnat ) > vnat ).
tff(func_def_187,type,
sK137: ( vnat * vnat ) > vnat ).
tff(func_def_188,type,
sK138: ( vnat * vnat ) > vnat ).
tff(func_def_189,type,
sK139: ( vnat * vnat ) > vnat ).
tff(func_def_190,type,
sK140: ( vnat * vnat ) > vnat ).
tff(func_def_191,type,
sK141: vOptAval > vAval ).
tff(func_def_192,type,
sK142: vOptAType > vAType ).
tff(func_def_193,type,
sK143: vAval > vYN ).
tff(func_def_194,type,
sK144: vAval > vnat ).
tff(func_def_195,type,
sK145: vAval > vstring ).
tff(func_def_196,type,
sK146: ( vATList * vATList ) > vATList ).
tff(func_def_197,type,
sK147: ( vATList * vATList ) > vAType ).
tff(func_def_198,type,
sK148: ( vATList * vATList ) > vATList ).
tff(func_def_199,type,
sK149: ( vATList * vATList ) > vATList ).
tff(func_def_200,type,
sK150: ( vQID * vAnsMap ) > vQID ).
tff(func_def_201,type,
sK151: ( vQID * vAnsMap ) > vAval ).
tff(func_def_202,type,
sK152: ( vQID * vAnsMap ) > vAnsMap ).
tff(func_def_203,type,
sK153: ( vQID * vAnsMap ) > vQID ).
tff(func_def_204,type,
sK154: ( vQID * vAnsMap ) > vQID ).
tff(func_def_205,type,
sK155: ( vQID * vAnsMap ) > vQID ).
tff(func_def_206,type,
sK156: ( vQID * vAnsMap ) > vAval ).
tff(func_def_207,type,
sK157: ( vQID * vAnsMap ) > vAnsMap ).
tff(func_def_208,type,
sK158: ( vQID * vAnsMap ) > vQID ).
tff(func_def_209,type,
sK159: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_210,type,
sK160: ( vAnsMap * vAnsMap ) > vQID ).
tff(func_def_211,type,
sK161: ( vAnsMap * vAnsMap ) > vAval ).
tff(func_def_212,type,
sK162: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_213,type,
sK163: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_214,type,
sK164: vOptQuestion > vQID ).
tff(func_def_215,type,
sK165: vOptQuestion > vLabel ).
tff(func_def_216,type,
sK166: vOptQuestion > vAType ).
tff(func_def_217,type,
sK167: ( vQID * vQMap ) > vQMap ).
tff(func_def_218,type,
sK168: ( vQID * vQMap ) > vQID ).
tff(func_def_219,type,
sK169: ( vQID * vQMap ) > vAType ).
tff(func_def_220,type,
sK170: ( vQID * vQMap ) > vLabel ).
tff(func_def_221,type,
sK171: ( vQID * vQMap ) > vQID ).
tff(func_def_222,type,
sK172: ( vQID * vQMap ) > vQID ).
tff(func_def_223,type,
sK173: ( vQID * vQMap ) > vQMap ).
tff(func_def_224,type,
sK174: ( vQID * vQMap ) > vQID ).
tff(func_def_225,type,
sK175: ( vQID * vQMap ) > vAType ).
tff(func_def_226,type,
sK176: ( vQID * vQMap ) > vLabel ).
tff(func_def_227,type,
sK177: ( vQID * vQMap ) > vQID ).
tff(func_def_228,type,
sK178: vQConf > vAnsMap ).
tff(func_def_229,type,
sK179: vQConf > vQMap ).
tff(func_def_230,type,
sK180: vQConf > vQuestionnaire ).
tff(func_def_231,type,
sK181: vQConf > vAnsMap ).
tff(func_def_232,type,
sK182: vQConf > vQMap ).
tff(func_def_233,type,
sK183: vQConf > vQuestionnaire ).
tff(func_def_234,type,
sK184: vQConf > vAnsMap ).
tff(func_def_235,type,
sK185: vQConf > vQMap ).
tff(func_def_236,type,
sK186: vQConf > vQuestionnaire ).
tff(func_def_237,type,
sK187: vQuestionnaire > vQuestionnaire ).
tff(func_def_238,type,
sK188: vOptQConf > vQConf ).
tff(func_def_239,type,
sK189: ( vQConf * vQuestionnaire ) > vAnsMap ).
tff(func_def_240,type,
sK190: ( vQConf * vQuestionnaire ) > vQMap ).
tff(func_def_241,type,
sK191: ( vQConf * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_242,type,
sK192: ( vQConf * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_243,type,
sK193: vOptExp > vExp ).
tff(func_def_244,type,
sK194: vExp > vAval ).
tff(func_def_245,type,
sK195: vExp > vAval ).
tff(func_def_246,type,
sK196: vExp > vExp ).
tff(func_def_247,type,
sK197: ( vLabel * vAType ) > vLabel ).
tff(func_def_248,type,
sK198: ( vLabel * vAType ) > vLabel ).
tff(func_def_249,type,
sK199: ( vLabel * vAType ) > vLabel ).
tff(func_def_250,type,
sK200: vAval > vnat ).
tff(func_def_251,type,
sK201: vAval > vnat ).
tff(func_def_252,type,
sK202: vAval > vnat ).
tff(func_def_253,type,
sK203: vAval > vnat ).
tff(func_def_254,type,
sK204: vAval > vnat ).
tff(func_def_255,type,
sK205: vAval > vnat ).
tff(func_def_256,type,
sK206: vAval > vYN ).
tff(func_def_257,type,
sK207: vAval > vYN ).
tff(func_def_258,type,
sK208: vAval > vYN ).
tff(func_def_259,type,
sK209: vAval > vYN ).
tff(func_def_260,type,
sK210: vAval > vnat ).
tff(func_def_261,type,
sK211: vAval > vnat ).
tff(func_def_262,type,
sK212: vAval > vnat ).
tff(func_def_263,type,
sK213: vAval > vnat ).
tff(func_def_264,type,
sK214: vAval > vnat ).
tff(func_def_265,type,
sK215: vAval > vnat ).
tff(func_def_266,type,
sK216: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_267,type,
sK217: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_268,type,
sK218: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_269,type,
sK219: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_270,type,
sK220: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_271,type,
sK221: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_272,type,
sK222: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_273,type,
sK223: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_274,type,
sK224: ( vBinOpT * vAval * vAval ) > vYN ).
tff(func_def_275,type,
sK225: ( vBinOpT * vAval * vAval ) > vYN ).
tff(func_def_276,type,
sK226: ( vBinOpT * vAval * vAval ) > vYN ).
tff(func_def_277,type,
sK227: ( vBinOpT * vAval * vAval ) > vYN ).
tff(func_def_278,type,
sK228: ( vBinOpT * vAval * vAval ) > vAval ).
tff(func_def_279,type,
sK229: ( vBinOpT * vAval * vAval ) > vAval ).
tff(func_def_280,type,
sK230: ( vBinOpT * vAval * vAval ) > vAval ).
tff(func_def_281,type,
sK231: ( vBinOpT * vAval * vAval ) > vAval ).
tff(func_def_282,type,
sK232: ( vBinOpT * vAval * vAval ) > vBinOpT ).
tff(func_def_283,type,
sK233: ( vBinOpT * vAval * vAval ) > vAval ).
tff(func_def_284,type,
sK234: ( vBinOpT * vAval * vAval ) > vAval ).
tff(func_def_285,type,
sK235: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_286,type,
sK236: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_287,type,
sK237: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_288,type,
sK238: ( vBinOpT * vAval * vAval ) > vnat ).
tff(func_def_289,type,
sK239: vAval > vYN ).
tff(func_def_290,type,
sK240: ( vUnOpT * vAval ) > vYN ).
tff(func_def_291,type,
sK241: ( vUnOpT * vAval ) > vUnOpT ).
tff(func_def_292,type,
sK242: ( vUnOpT * vAval ) > vAval ).
tff(func_def_293,type,
sK243: ( vExp * vAnsMap ) > vQID ).
tff(func_def_294,type,
sK244: ( vExp * vAnsMap ) > vOptAval ).
tff(func_def_295,type,
sK245: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_296,type,
sK246: ( vExp * vAnsMap ) > vQID ).
tff(func_def_297,type,
sK247: ( vExp * vAnsMap ) > vOptAval ).
tff(func_def_298,type,
sK248: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_299,type,
sK249: ( vExp * vAnsMap ) > vExp ).
tff(func_def_300,type,
sK250: ( vExp * vAnsMap ) > vBinOpT ).
tff(func_def_301,type,
sK251: ( vExp * vAnsMap ) > vExp ).
tff(func_def_302,type,
sK252: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_303,type,
sK253: ( vExp * vAnsMap ) > vExp ).
tff(func_def_304,type,
sK254: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_305,type,
sK255: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_306,type,
sK256: ( vExp * vAnsMap ) > vExp ).
tff(func_def_307,type,
sK257: ( vExp * vAnsMap ) > vBinOpT ).
tff(func_def_308,type,
sK258: ( vExp * vAnsMap ) > vExp ).
tff(func_def_309,type,
sK259: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_310,type,
sK260: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_311,type,
sK261: ( vExp * vAnsMap ) > vExp ).
tff(func_def_312,type,
sK262: ( vExp * vAnsMap ) > vBinOpT ).
tff(func_def_313,type,
sK263: ( vExp * vAnsMap ) > vUnOpT ).
tff(func_def_314,type,
sK264: ( vExp * vAnsMap ) > vExp ).
tff(func_def_315,type,
sK265: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_316,type,
sK266: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_317,type,
sK267: ( vExp * vAnsMap ) > vUnOpT ).
tff(func_def_318,type,
sK268: ( vExp * vAnsMap ) > vExp ).
tff(func_def_319,type,
sK269: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_320,type,
sK270: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_321,type,
sK271: ( vExp * vAnsMap ) > vExp ).
tff(func_def_322,type,
sK272: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_323,type,
sK273: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_324,type,
sK274: ( vExp * vAnsMap ) > vExp ).
tff(func_def_325,type,
sK275: ( vExp * vAnsMap ) > vBinOpT ).
tff(func_def_326,type,
sK276: ( vExp * vAnsMap ) > vExp ).
tff(func_def_327,type,
sK277: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_328,type,
sK278: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_329,type,
sK279: ( vExp * vAnsMap ) > vExp ).
tff(func_def_330,type,
sK280: ( vExp * vAnsMap ) > vBinOpT ).
tff(func_def_331,type,
sK281: ( vExp * vAnsMap ) > vAval ).
tff(func_def_332,type,
sK282: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_333,type,
sK283: ( vExp * vAnsMap ) > vUnOpT ).
tff(func_def_334,type,
sK284: ( vExp * vAnsMap ) > vExp ).
tff(func_def_335,type,
sK285: ( vExp * vAnsMap ) > vAnsMap ).
tff(func_def_336,type,
sK286: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_337,type,
sK287: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_338,type,
sK288: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_339,type,
sK289: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_340,type,
sK290: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_341,type,
sK291: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_342,type,
sK292: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_343,type,
sK293: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_344,type,
sK294: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_345,type,
sK295: ( vQuestionnaire * vExp * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_346,type,
sK296: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_347,type,
sK297: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_348,type,
sK298: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_349,type,
sK299: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_350,type,
sK300: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_351,type,
sK301: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_352,type,
sK302: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_353,type,
sK303: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_354,type,
sK304: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_355,type,
sK305: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_356,type,
sK306: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_357,type,
sK307: ( vQuestionnaire * vAnsMap * vQMap ) > vGID ).
tff(func_def_358,type,
sK308: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_359,type,
sK309: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_360,type,
sK310: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_361,type,
sK311: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_362,type,
sK312: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).
tff(func_def_363,type,
sK313: ( vQuestionnaire * vAnsMap * vQMap ) > vLabel ).
tff(func_def_364,type,
sK314: ( vQuestionnaire * vAnsMap * vQMap ) > vAval ).
tff(func_def_365,type,
sK315: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_366,type,
sK316: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).
tff(func_def_367,type,
sK317: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_368,type,
sK318: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).
tff(func_def_369,type,
sK319: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_370,type,
sK320: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).
tff(func_def_371,type,
sK321: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).
tff(func_def_372,type,
sK322: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).
tff(func_def_373,type,
sK323: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQuestion ).
tff(func_def_374,type,
sK324: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_375,type,
sK325: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_376,type,
sK326: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).
tff(func_def_377,type,
sK327: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQuestion ).
tff(func_def_378,type,
sK328: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_379,type,
sK329: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_380,type,
sK330: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_381,type,
sK331: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).
tff(func_def_382,type,
sK332: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).
tff(func_def_383,type,
sK333: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_384,type,
sK334: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).
tff(func_def_385,type,
sK335: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).
tff(func_def_386,type,
sK336: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_387,type,
sK337: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).
tff(func_def_388,type,
sK338: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).
tff(func_def_389,type,
sK339: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_390,type,
sK340: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).
tff(func_def_391,type,
sK341: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).
tff(func_def_392,type,
sK342: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_393,type,
sK343: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_394,type,
sK344: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_395,type,
sK345: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_396,type,
sK346: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).
tff(func_def_397,type,
sK347: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_398,type,
sK348: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_399,type,
sK349: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_400,type,
sK350: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_401,type,
sK351: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).
tff(func_def_402,type,
sK352: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_403,type,
sK353: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).
tff(func_def_404,type,
sK354: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_405,type,
sK355: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).
tff(func_def_406,type,
sK356: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_407,type,
sK357: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_408,type,
sK358: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_409,type,
sK359: ( vQuestionnaire * vAnsMap * vQMap ) > vOptExp ).
tff(func_def_410,type,
sK360: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_411,type,
sK361: ( vQuestionnaire * vAnsMap * vQMap ) > vExp ).
tff(func_def_412,type,
sK362: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_413,type,
sK363: ( vQuestionnaire * vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_414,type,
sK364: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_415,type,
sK365: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_416,type,
sK366: ( vQuestionnaire * vAnsMap * vQMap ) > vQMap ).
tff(func_def_417,type,
sK367: ( vQuestionnaire * vAnsMap * vQMap ) > vAType ).
tff(func_def_418,type,
sK368: ( vQuestionnaire * vAnsMap * vQMap ) > vLabel ).
tff(func_def_419,type,
sK369: ( vQuestionnaire * vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_420,type,
sK370: ( vQuestionnaire * vAnsMap * vQMap ) > vQID ).
tff(func_def_421,type,
sK371: ( vQID * vATMap ) > vQID ).
tff(func_def_422,type,
sK372: ( vQID * vATMap ) > vAType ).
tff(func_def_423,type,
sK373: ( vQID * vATMap ) > vATMap ).
tff(func_def_424,type,
sK374: ( vQID * vATMap ) > vQID ).
tff(func_def_425,type,
sK375: ( vQID * vATMap ) > vQID ).
tff(func_def_426,type,
sK376: ( vQID * vATMap ) > vQID ).
tff(func_def_427,type,
sK377: ( vQID * vATMap ) > vAType ).
tff(func_def_428,type,
sK378: ( vQID * vATMap ) > vATMap ).
tff(func_def_429,type,
sK379: ( vQID * vATMap ) > vQID ).
tff(func_def_430,type,
sK380: ( vATMap * vATMap ) > vATMap ).
tff(func_def_431,type,
sK381: ( vATMap * vATMap ) > vQID ).
tff(func_def_432,type,
sK382: ( vATMap * vATMap ) > vAType ).
tff(func_def_433,type,
sK383: ( vATMap * vATMap ) > vATMap ).
tff(func_def_434,type,
sK384: ( vATMap * vATMap ) > vATMap ).
tff(func_def_435,type,
sK385: ( vATMap * vATMap ) > vATMap ).
tff(func_def_436,type,
sK386: ( vATMap * vATMap ) > vATMap ).
tff(func_def_437,type,
sK387: ( vATMap * vATMap ) > vOptAType ).
tff(func_def_438,type,
sK388: ( vATMap * vATMap ) > vAType ).
tff(func_def_439,type,
sK389: ( vATMap * vATMap ) > vATMap ).
tff(func_def_440,type,
sK390: ( vATMap * vATMap ) > vQID ).
tff(func_def_441,type,
sK391: ( vATMap * vATMap ) > vATMap ).
tff(func_def_442,type,
sK392: ( vATMap * vATMap ) > vATMap ).
tff(func_def_443,type,
sK393: ( vATMap * vATMap ) > vATMap ).
tff(func_def_444,type,
sK394: ( vATMap * vATMap ) > vOptAType ).
tff(func_def_445,type,
sK395: ( vATMap * vATMap ) > vAType ).
tff(func_def_446,type,
sK396: ( vATMap * vATMap ) > vATMap ).
tff(func_def_447,type,
sK397: ( vATMap * vATMap ) > vQID ).
tff(func_def_448,type,
sK398: vOptMapConf > vMapConf ).
tff(func_def_449,type,
sK399: vAnsMap > vQID ).
tff(func_def_450,type,
sK400: vAnsMap > vAval ).
tff(func_def_451,type,
sK401: vAnsMap > vAnsMap ).
tff(func_def_452,type,
sK402: vQMap > vQID ).
tff(func_def_453,type,
sK403: vQMap > vLabel ).
tff(func_def_454,type,
sK404: vQMap > vAType ).
tff(func_def_455,type,
sK405: vQMap > vQMap ).
tff(func_def_456,type,
sK406: ( vBinOpT * vAType * vAType ) > vAType ).
tff(func_def_457,type,
sK407: ( vBinOpT * vAType * vAType ) > vAType ).
tff(func_def_458,type,
sK408: ( vBinOpT * vAType * vAType ) > vBinOpT ).
tff(func_def_459,type,
sK409: ( vBinOpT * vAType * vAType ) > vAType ).
tff(func_def_460,type,
sK410: ( vBinOpT * vAType * vAType ) > vAType ).
tff(func_def_461,type,
sK411: ( vUnOpT * vAType ) > vUnOpT ).
tff(func_def_462,type,
sK412: ( vUnOpT * vAType ) > vAType ).
tff(func_def_463,type,
sK413: ( vATMap * vExp ) > vQID ).
tff(func_def_464,type,
sK414: ( vATMap * vExp ) > vATMap ).
tff(func_def_465,type,
sK415: ( vATMap * vExp ) > vUnOpT ).
tff(func_def_466,type,
sK416: ( vATMap * vExp ) > vExp ).
tff(func_def_467,type,
sK417: ( vATMap * vExp ) > vOptAType ).
tff(func_def_468,type,
sK418: ( vATMap * vExp ) > vATMap ).
tff(func_def_469,type,
sK419: ( vATMap * vExp ) > vUnOpT ).
tff(func_def_470,type,
sK420: ( vATMap * vExp ) > vExp ).
tff(func_def_471,type,
sK421: ( vATMap * vExp ) > vOptAType ).
tff(func_def_472,type,
sK422: ( vATMap * vExp ) > vATMap ).
tff(func_def_473,type,
sK423: ( vATMap * vExp ) > vATMap ).
tff(func_def_474,type,
sK424: ( vATMap * vExp ) > vOptAType ).
tff(func_def_475,type,
sK425: ( vATMap * vExp ) > vExp ).
tff(func_def_476,type,
sK426: ( vATMap * vExp ) > vOptAType ).
tff(func_def_477,type,
sK427: ( vATMap * vExp ) > vExp ).
tff(func_def_478,type,
sK428: ( vATMap * vExp ) > vBinOpT ).
tff(func_def_479,type,
sK429: ( vATMap * vExp ) > vATMap ).
tff(func_def_480,type,
sK430: ( vATMap * vExp ) > vOptAType ).
tff(func_def_481,type,
sK431: ( vATMap * vExp ) > vExp ).
tff(func_def_482,type,
sK432: ( vATMap * vExp ) > vOptAType ).
tff(func_def_483,type,
sK433: ( vATMap * vExp ) > vExp ).
tff(func_def_484,type,
sK434: ( vATMap * vExp ) > vBinOpT ).
tff(func_def_485,type,
sK435: ( vATMap * vExp ) > vATMap ).
tff(func_def_486,type,
sK436: ( vATMap * vExp ) > vYN ).
tff(func_def_487,type,
sK437: ( vATMap * vExp ) > vnat ).
tff(func_def_488,type,
sK438: ( vATMap * vExp ) > vATMap ).
tff(func_def_489,type,
sK439: ( vATMap * vExp ) > vstring ).
tff(func_def_490,type,
sK440: ( vATMap * vExp ) > vATMap ).
tff(func_def_491,type,
sK441: ( vATMap * vQID ) > vAType ).
tff(func_def_492,type,
sK442: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).
tff(func_def_493,type,
sK443: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).
tff(func_def_494,type,
sK444: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).
tff(func_def_495,type,
sK445: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).
tff(func_def_496,type,
sK446: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).
tff(func_def_497,type,
sK447: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).
tff(func_def_498,type,
sK448: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).
tff(func_def_499,type,
sK449: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).
tff(func_def_500,type,
sK450: ( vQMap * vAType * vLabel * vAnsMap * vQID ) > vAnsMap ).
tff(func_def_501,type,
sK451: ( vQMap * vAType * vLabel * vAnsMap * vQID ) > vQMap ).
tff(func_def_502,type,
sK452: ( vQMap * vAType * vLabel * vAnsMap * vQID ) > vQuestionnaire ).
tff(func_def_503,type,
sK453: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vAnsMap ).
tff(func_def_504,type,
sK454: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vQMap ).
tff(func_def_505,type,
sK455: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vQuestionnaire ).
tff(func_def_506,type,
sK456: ( vQMap * vAType * vLabel * vAnsMap * vQID ) > vAnsMap ).
tff(func_def_507,type,
sK457: ( vQMap * vAType * vLabel * vAnsMap * vQID ) > vQMap ).
tff(func_def_508,type,
sK458: ( vQMap * vAType * vLabel * vAnsMap * vQID ) > vQuestionnaire ).
tff(func_def_509,type,
sK459: ( vQMap * vAnsMap * vQID ) > vAnsMap ).
tff(func_def_510,type,
sK460: ( vQMap * vAnsMap * vQID ) > vQMap ).
tff(func_def_511,type,
sK461: ( vQMap * vAnsMap * vQID ) > vQuestionnaire ).
tff(func_def_512,type,
sK462: vQMap ).
tff(func_def_513,type,
sK463: vATMap ).
tff(func_def_514,type,
sK464: vATMap ).
tff(func_def_515,type,
sK465: vEntry ).
tff(func_def_516,type,
sK466: vAnsMap ).
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,
sP467: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_70,type,
sP468: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_71,type,
sP469: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_72,type,
sP470: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_73,type,
sP471: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_74,type,
sP472: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_75,type,
sP473: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_76,type,
sP474: ( vBinOpT * vAval * vAval ) > $o ).
tff(pred_def_77,type,
sP475: ( vATMap * vATMap * vQID * vATMap ) > $o ).
tff(pred_def_78,type,
sP476: ( vQuestionnaire * vATMap * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_79,type,
sP477: ( vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_80,type,
sP478: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_81,type,
sP479: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_82,type,
sP480: ( vQuestionnaire * vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_83,type,
sP481: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_84,type,
sP482: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_85,type,
sP483: ( vQuestionnaire * vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_86,type,
sP484: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_87,type,
sP485: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_88,type,
sP486: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_89,type,
sP487: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_90,type,
sP488: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_91,type,
sP489: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_92,type,
sP490: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_93,type,
sP491: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_94,type,
sP492: ( vATMap * vATMap * vQuestionnaire * vQuestionnaire * vATMap ) > $o ).
tff(pred_def_95,type,
sP493: ( vATMap * vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_96,type,
sP494: ( vATMap * vATMap * vATMap * vQuestionnaire * vQuestionnaire ) > $o ).
tff(pred_def_97,type,
sP495: ( vATMap * vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(f44,axiom,
! [X0: vEntry] : ( vqempty != vqsingle(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-qempty-qsingle') ).
tff(f48,axiom,
! [X0: vEntry,X1: vQuestionnaire,X2: vQuestionnaire] : ( vqsingle(X0) != vqseq(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-qsingle-qseq') ).
tff(f49,axiom,
! [X0: vEntry,X1: vExp,X2: vQuestionnaire,X3: vQuestionnaire] : ( vqsingle(X0) != vqcond(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-qsingle-qcond') ).
tff(f50,axiom,
! [X0: vEntry,X1: vGID,X2: vQuestionnaire] : ( vqsingle(X0) != vqgroup(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-qsingle-qgroup') ).
tff(f223,axiom,
! [X0: vQConf,X1: vQuestionnaire] :
? [X2: vAnsMap,X3: vQMap,X4: vQuestionnaire,X5: vQuestionnaire] :
( ( X0 = vQC(X2,X3,X4) )
& ( X1 = X5 )
& ( vqcappend(X0,X1) = vQC(X2,X3,vqseq(X4,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qcappend-INV') ).
tff(f267,axiom,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ( ~ vexpIsValue(X4)
& ~ visSomeExp(vreduceExp(X4,X2)) )
=> ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vnoQConf ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduce-4') ).
tff(f279,axiom,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vAnsMap,X4: vQMap] :
( ( X0 = vqempty )
& ( X1 = X3 )
& ( X2 = X4 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ? [X5: vQMap,X6: vAType,X7: vLabel,X8: vAval,X9: vAnsMap,X10: vQID] :
( ( X8 = vgetAnswer(X7,X6) )
& ( X0 = vqsingle(vquestion(X10,X7,X6)) )
& ( X1 = X9 )
& ( X2 = X5 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(X10,X8,X9),X5,vqempty)) ) )
| ? [X11: vQMap,X12: vAType,X13: vAnsMap,X14: vQID,X15: vExp] :
( vexpIsValue(X15)
& ( X0 = vqsingle(vvalue(X14,X12,X15)) )
& ( X1 = X13 )
& ( X2 = X11 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(X14,vgetExpValue(X15),X13),X11,vqempty)) ) )
| ? [X16: vQMap,X17: vAType,X18: vOptExp,X19: vAnsMap,X20: vQID,X21: vExp] :
( ~ vexpIsValue(X21)
& ( X18 = vreduceExp(X21,X19) )
& visSomeExp(X18)
& ( X0 = vqsingle(vvalue(X20,X17,X21)) )
& ( X1 = X19 )
& ( X2 = X16 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X19,X16,vqsingle(vvalue(X20,X17,vgetExp(X18))))) ) )
| ? [X22: vQMap,X23: vAType,X24: vOptExp,X25: vAnsMap,X26: vQID,X27: vExp] :
( ~ vexpIsValue(X27)
& ( X24 = vreduceExp(X27,X25) )
& ~ visSomeExp(X24)
& ( X0 = vqsingle(vvalue(X26,X23,X27)) )
& ( X1 = X25 )
& ( X2 = X22 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ? [X28: vQMap,X29: vAType,X30: vLabel,X31: vAnsMap,X32: vQID] :
( ( X0 = vqsingle(vdefquestion(X32,X30,X29)) )
& ( X1 = X31 )
& ( X2 = X28 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X31,vqmbind(X32,X30,X29,X28),vqempty)) ) )
| ? [X33: vQID,X34: vOptQuestion,X35: vQMap,X36: vAnsMap] :
( ( X34 = vlookupQMap(X33,X35) )
& visSomeQuestion(X34)
& ( X0 = vqsingle(vask(X33)) )
& ( X1 = X36 )
& ( X2 = X35 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X36,X35,vqsingle(vquestion(X33,vgetQuestionLabel(X34),vgetQuestionAType(X34))))) ) )
| ? [X37: vQID,X38: vOptQuestion,X39: vQMap,X40: vAnsMap] :
( ( X38 = vlookupQMap(X37,X39) )
& ~ visSomeQuestion(X38)
& ( X0 = vqsingle(vask(X37)) )
& ( X1 = X40 )
& ( X2 = X39 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ? [X41: vQuestionnaire,X42: vAnsMap,X43: vQMap] :
( ( X0 = vqseq(vqempty,X41) )
& ( X1 = X42 )
& ( X2 = X43 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X42,X43,X41)) ) )
| ? [X44: vQMap,X45: vQuestionnaire,X46: vAnsMap,X47: vQuestionnaire,X48: vOptQConf] :
( ! [X49: vQuestionnaire] :
( ( X45 != vqempty )
| ( X47 != X49 ) )
& ( X48 = vreduce(X45,X46,X44) )
& visSomeQC(X48)
& ( X0 = vqseq(X45,X47) )
& ( X1 = X46 )
& ( X2 = X44 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vqcappend(vgetQC(X48),X47)) ) )
| ? [X50: vQMap,X51: vQuestionnaire,X52: vAnsMap,X53: vQuestionnaire,X54: vOptQConf] :
( ! [X55: vQuestionnaire] :
( ( X51 != vqempty )
| ( X53 != X55 ) )
& ( X54 = vreduce(X51,X52,X50) )
& ~ visSomeQC(X54)
& ( X0 = vqseq(X51,X53) )
& ( X1 = X52 )
& ( X2 = X50 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ? [X56: vQuestionnaire,X57: vQuestionnaire,X58: vAnsMap,X59: vQMap] :
( ( X0 = vqcond(vconstant(vB(vyes)),X56,X57) )
& ( X1 = X58 )
& ( X2 = X59 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X58,X59,X56)) ) )
| ? [X60: vQuestionnaire,X61: vQuestionnaire,X62: vAnsMap,X63: vQMap] :
( ( X0 = vqcond(vconstant(vB(vno)),X60,X61) )
& ( X1 = X62 )
& ( X2 = X63 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X62,X63,X61)) ) )
| ? [X64: vQMap,X65: vOptExp,X66: vQuestionnaire,X67: vExp,X68: vAnsMap,X69: vQuestionnaire] :
( ! [X70: vQuestionnaire,X71: vQuestionnaire] :
( ( X67 != vconstant(vB(vyes)) )
| ( X66 != X70 )
| ( X69 != X71 ) )
& ! [X72: vQuestionnaire,X73: vQuestionnaire] :
( ( X67 != vconstant(vB(vno)) )
| ( X66 != X72 )
| ( X69 != X73 ) )
& ( X65 = vreduceExp(X67,X68) )
& visSomeExp(X65)
& ( X0 = vqcond(X67,X66,X69) )
& ( X1 = X68 )
& ( X2 = X64 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X68,X64,vqcond(vgetExp(X65),X66,X69))) ) )
| ? [X74: vQMap,X75: vOptExp,X76: vQuestionnaire,X77: vExp,X78: vAnsMap,X79: vQuestionnaire] :
( ! [X80: vQuestionnaire,X81: vQuestionnaire] :
( ( X77 != vconstant(vB(vyes)) )
| ( X76 != X80 )
| ( X79 != X81 ) )
& ! [X82: vQuestionnaire,X83: vQuestionnaire] :
( ( X77 != vconstant(vB(vno)) )
| ( X76 != X82 )
| ( X79 != X83 ) )
& ( X75 = vreduceExp(X77,X78) )
& ~ visSomeExp(X75)
& ( X0 = vqcond(X77,X76,X79) )
& ( X1 = X78 )
& ( X2 = X74 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ? [X84: vGID,X85: vQuestionnaire,X86: vAnsMap,X87: vQMap] :
( ( X0 = vqgroup(X84,X85) )
& ( X1 = X86 )
& ( X2 = X87 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X86,X87,X85)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduce-INV') ).
tff(f347,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap,X4: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
=> ( X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Task_inv4') ).
tff(f361,axiom,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) )
=> ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-qsingle-value') ).
tff(f363,axiom,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAnsMap,X4: vQID] :
( ( ~ visValue(vqsingle(vask(X4)))
& vptcheck(vMC(vtypeAM(X3),vtypeQM(X0)),vqsingle(vask(X4)),vMC(X1,X2)) )
=> ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqsingle(vask(X4)),X3,X0) = vsomeQConf(vQC(X5,X6,X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-qsingle-ask') ).
tff(f364,conjecture,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vEntry,X4: vAnsMap] :
( ( ~ visValue(vqsingle(X3))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(X3),vMC(X1,X2)) )
=> ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqsingle(X3),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-qsingle') ).
tff(f365,negated_conjecture,
~ ! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vEntry,X4: vAnsMap] :
( ( ~ visValue(vqsingle(X3))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(X3),vMC(X1,X2)) )
=> ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqsingle(X3),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) ) ),
inference(negated_conjecture,[status(cth)],[f364]) ).
tff(f449,plain,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vnoQConf )
| vexpIsValue(X4)
| visSomeExp(vreduceExp(X4,X2)) ),
inference(ennf_transformation,[],[f267]) ).
tff(f450,plain,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vnoQConf )
| vexpIsValue(X4)
| visSomeExp(vreduceExp(X4,X2)) ),
inference(flattening,[],[f449]) ).
tff(f504,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap,X4: vQID] :
( ( X2 = X0 )
| ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2)) ),
inference(ennf_transformation,[],[f347]) ).
tff(f526,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) )
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(ennf_transformation,[],[f361]) ).
tff(f527,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) )
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(flattening,[],[f526]) ).
tff(f530,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAnsMap,X4: vQID] :
( ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqsingle(vask(X4)),X3,X0) = vsomeQConf(vQC(X5,X6,X7)) )
| visValue(vqsingle(vask(X4)))
| ~ vptcheck(vMC(vtypeAM(X3),vtypeQM(X0)),vqsingle(vask(X4)),vMC(X1,X2)) ),
inference(ennf_transformation,[],[f363]) ).
tff(f531,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAnsMap,X4: vQID] :
( ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqsingle(vask(X4)),X3,X0) = vsomeQConf(vQC(X5,X6,X7)) )
| visValue(vqsingle(vask(X4)))
| ~ vptcheck(vMC(vtypeAM(X3),vtypeQM(X0)),vqsingle(vask(X4)),vMC(X1,X2)) ),
inference(flattening,[],[f530]) ).
tff(f532,plain,
? [X0: vQMap,X1: vATMap,X2: vATMap,X3: vEntry,X4: vAnsMap] :
( ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqsingle(X3),X4,X0) )
& ~ visValue(vqsingle(X3))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(X3),vMC(X1,X2)) ),
inference(ennf_transformation,[],[f365]) ).
tff(f533,plain,
? [X0: vQMap,X1: vATMap,X2: vATMap,X3: vEntry,X4: vAnsMap] :
( ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqsingle(X3),X4,X0) )
& ~ visValue(vqsingle(X3))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(X3),vMC(X1,X2)) ),
inference(flattening,[],[f532]) ).
tff(f564,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X74: vQMap,X75: vOptExp,X76: vQuestionnaire,X77: vExp,X78: vAnsMap,X79: vQuestionnaire] :
( ! [X80: vQuestionnaire,X81: vQuestionnaire] :
( ( X77 != vconstant(vB(vyes)) )
| ( X76 != X80 )
| ( X79 != X81 ) )
& ! [X82: vQuestionnaire,X83: vQuestionnaire] :
( ( X77 != vconstant(vB(vno)) )
| ( X76 != X82 )
| ( X79 != X83 ) )
& ( X75 = vreduceExp(X77,X78) )
& ~ visSomeExp(X75)
& ( X0 = vqcond(X77,X76,X79) )
& ( X1 = X78 )
& ( X2 = X74 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP25(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
tff(f565,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X64: vQMap,X65: vOptExp,X66: vQuestionnaire,X67: vExp,X68: vAnsMap,X69: vQuestionnaire] :
( ! [X70: vQuestionnaire,X71: vQuestionnaire] :
( ( X67 != vconstant(vB(vyes)) )
| ( X66 != X70 )
| ( X69 != X71 ) )
& ! [X72: vQuestionnaire,X73: vQuestionnaire] :
( ( X67 != vconstant(vB(vno)) )
| ( X66 != X72 )
| ( X69 != X73 ) )
& ( X65 = vreduceExp(X67,X68) )
& visSomeExp(X65)
& ( X0 = vqcond(X67,X66,X69) )
& ( X1 = X68 )
& ( X2 = X64 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X68,X64,vqcond(vgetExp(X65),X66,X69))) ) )
| ~ sP26(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
tff(f566,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X50: vQMap,X51: vQuestionnaire,X52: vAnsMap,X53: vQuestionnaire,X54: vOptQConf] :
( ! [X55: vQuestionnaire] :
( ( X51 != vqempty )
| ( X53 != X55 ) )
& ( X54 = vreduce(X51,X52,X50) )
& ~ visSomeQC(X54)
& ( X0 = vqseq(X51,X53) )
& ( X1 = X52 )
& ( X2 = X50 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP27(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
tff(f567,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X44: vQMap,X45: vQuestionnaire,X46: vAnsMap,X47: vQuestionnaire,X48: vOptQConf] :
( ! [X49: vQuestionnaire] :
( ( X45 != vqempty )
| ( X47 != X49 ) )
& ( X48 = vreduce(X45,X46,X44) )
& visSomeQC(X48)
& ( X0 = vqseq(X45,X47) )
& ( X1 = X46 )
& ( X2 = X44 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vqcappend(vgetQC(X48),X47)) ) )
| ~ sP28(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
tff(f568,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X22: vQMap,X23: vAType,X24: vOptExp,X25: vAnsMap,X26: vQID,X27: vExp] :
( ~ vexpIsValue(X27)
& ( X24 = vreduceExp(X27,X25) )
& ~ visSomeExp(X24)
& ( X0 = vqsingle(vvalue(X26,X23,X27)) )
& ( X1 = X25 )
& ( X2 = X22 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP29(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
tff(f569,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X16: vQMap,X17: vAType,X18: vOptExp,X19: vAnsMap,X20: vQID,X21: vExp] :
( ~ vexpIsValue(X21)
& ( X18 = vreduceExp(X21,X19) )
& visSomeExp(X18)
& ( X0 = vqsingle(vvalue(X20,X17,X21)) )
& ( X1 = X19 )
& ( X2 = X16 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X19,X16,vqsingle(vvalue(X20,X17,vgetExp(X18))))) ) )
| ~ sP30(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
tff(f570,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X37: vQID,X38: vOptQuestion,X39: vQMap,X40: vAnsMap] :
( ( X38 = vlookupQMap(X37,X39) )
& ~ visSomeQuestion(X38)
& ( X0 = vqsingle(vask(X37)) )
& ( X1 = X40 )
& ( X2 = X39 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP31(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
tff(f571,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X33: vQID,X34: vOptQuestion,X35: vQMap,X36: vAnsMap] :
( ( X34 = vlookupQMap(X33,X35) )
& visSomeQuestion(X34)
& ( X0 = vqsingle(vask(X33)) )
& ( X1 = X36 )
& ( X2 = X35 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X36,X35,vqsingle(vquestion(X33,vgetQuestionLabel(X34),vgetQuestionAType(X34))))) ) )
| ~ sP32(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
tff(f572,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X11: vQMap,X12: vAType,X13: vAnsMap,X14: vQID,X15: vExp] :
( vexpIsValue(X15)
& ( X0 = vqsingle(vvalue(X14,X12,X15)) )
& ( X1 = X13 )
& ( X2 = X11 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(X14,vgetExpValue(X15),X13),X11,vqempty)) ) )
| ~ sP33(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
tff(f573,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X5: vQMap,X6: vAType,X7: vLabel,X8: vAval,X9: vAnsMap,X10: vQID] :
( ( X8 = vgetAnswer(X7,X6) )
& ( X0 = vqsingle(vquestion(X10,X7,X6)) )
& ( X1 = X9 )
& ( X2 = X5 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(X10,X8,X9),X5,vqempty)) ) )
| ~ sP34(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
tff(f574,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X84: vGID,X85: vQuestionnaire,X86: vAnsMap,X87: vQMap] :
( ( X0 = vqgroup(X84,X85) )
& ( X1 = X86 )
& ( X2 = X87 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X86,X87,X85)) ) )
| ~ sP35(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
tff(f575,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X60: vQuestionnaire,X61: vQuestionnaire,X62: vAnsMap,X63: vQMap] :
( ( X0 = vqcond(vconstant(vB(vno)),X60,X61) )
& ( X1 = X62 )
& ( X2 = X63 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X62,X63,X61)) ) )
| ~ sP36(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
tff(f576,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X56: vQuestionnaire,X57: vQuestionnaire,X58: vAnsMap,X59: vQMap] :
( ( X0 = vqcond(vconstant(vB(vyes)),X56,X57) )
& ( X1 = X58 )
& ( X2 = X59 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X58,X59,X56)) ) )
| ~ sP37(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
tff(f577,definition,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X41: vQuestionnaire,X42: vAnsMap,X43: vQMap] :
( ( X0 = vqseq(vqempty,X41) )
& ( X1 = X42 )
& ( X2 = X43 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X42,X43,X41)) ) )
| ~ sP38(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
tff(f578,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vAnsMap,X4: vQMap] :
( ( X0 = vqempty )
& ( X1 = X3 )
& ( X2 = X4 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| sP34(X0,X1,X2)
| sP33(X0,X1,X2)
| sP30(X0,X1,X2)
| sP29(X0,X1,X2)
| ? [X28: vQMap,X29: vAType,X30: vLabel,X31: vAnsMap,X32: vQID] :
( ( X0 = vqsingle(vdefquestion(X32,X30,X29)) )
& ( X1 = X31 )
& ( X2 = X28 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X31,vqmbind(X32,X30,X29,X28),vqempty)) ) )
| sP32(X0,X1,X2)
| sP31(X0,X1,X2)
| sP38(X0,X1,X2)
| sP28(X0,X1,X2)
| sP27(X0,X1,X2)
| sP37(X0,X1,X2)
| sP36(X0,X1,X2)
| sP26(X0,X1,X2)
| sP25(X0,X1,X2)
| sP35(X0,X1,X2) ),
inference(definition_folding,[],[f279,f577,f576,f575,f574,f573,f572,f571,f570,f569,f568,f567,f566,f565,f564]) ).
tff(f650,plain,
! [X0: vQConf,X1: vQuestionnaire] :
( ( vQC(sK189(X0,X1),sK190(X0,X1),sK191(X0,X1)) = X0 )
& ( sK192(X0,X1) = X1 )
& ( vqcappend(X0,X1) = vQC(sK189(X0,X1),sK190(X0,X1),vqseq(sK191(X0,X1),sK192(X0,X1))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK189,sK190,sK191,sK192]),skolemize(X2,sK189(X0,X1)),skolemize(X3,sK190(X0,X1)),skolemize(X4,sK191(X0,X1)),skolemize(X5,sK192(X0,X1))],[f223]) ).
tff(f735,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X41: vQuestionnaire,X42: vAnsMap,X43: vQMap] :
( ( X0 = vqseq(vqempty,X41) )
& ( X1 = X42 )
& ( X2 = X43 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X42,X43,X41)) ) )
| ~ sP38(X0,X1,X2) ),
inference(nnf_transformation,[],[f577]) ).
tff(f736,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQuestionnaire,X4: vAnsMap,X5: vQMap] :
( ( vqseq(vqempty,X3) = X0 )
& ( X1 = X4 )
& ( X2 = X5 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X4,X5,X3)) ) )
| ~ sP38(X0,X1,X2) ),
inference(rectify,[],[f735]) ).
tff(f737,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ( vqseq(vqempty,sK296(X0,X1,X2)) = X0 )
& ( sK297(X0,X1,X2) = X1 )
& ( sK298(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK297(X0,X1,X2),sK298(X0,X1,X2),sK296(X0,X1,X2))) ) )
| ~ sP38(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK296,sK297,sK298]),skolemize(X3,sK296(X0,X1,X2)),skolemize(X4,sK297(X0,X1,X2)),skolemize(X5,sK298(X0,X1,X2))],[f736]) ).
tff(f738,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X56: vQuestionnaire,X57: vQuestionnaire,X58: vAnsMap,X59: vQMap] :
( ( X0 = vqcond(vconstant(vB(vyes)),X56,X57) )
& ( X1 = X58 )
& ( X2 = X59 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X58,X59,X56)) ) )
| ~ sP37(X0,X1,X2) ),
inference(nnf_transformation,[],[f576]) ).
tff(f739,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQuestionnaire,X4: vQuestionnaire,X5: vAnsMap,X6: vQMap] :
( ( vqcond(vconstant(vB(vyes)),X3,X4) = X0 )
& ( X1 = X5 )
& ( X2 = X6 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X5,X6,X3)) ) )
| ~ sP37(X0,X1,X2) ),
inference(rectify,[],[f738]) ).
tff(f740,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ( vqcond(vconstant(vB(vyes)),sK299(X0,X1,X2),sK300(X0,X1,X2)) = X0 )
& ( sK301(X0,X1,X2) = X1 )
& ( sK302(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK301(X0,X1,X2),sK302(X0,X1,X2),sK299(X0,X1,X2))) ) )
| ~ sP37(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK299,sK300,sK301,sK302]),skolemize(X3,sK299(X0,X1,X2)),skolemize(X4,sK300(X0,X1,X2)),skolemize(X5,sK301(X0,X1,X2)),skolemize(X6,sK302(X0,X1,X2))],[f739]) ).
tff(f741,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X60: vQuestionnaire,X61: vQuestionnaire,X62: vAnsMap,X63: vQMap] :
( ( X0 = vqcond(vconstant(vB(vno)),X60,X61) )
& ( X1 = X62 )
& ( X2 = X63 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X62,X63,X61)) ) )
| ~ sP36(X0,X1,X2) ),
inference(nnf_transformation,[],[f575]) ).
tff(f742,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQuestionnaire,X4: vQuestionnaire,X5: vAnsMap,X6: vQMap] :
( ( vqcond(vconstant(vB(vno)),X3,X4) = X0 )
& ( X1 = X5 )
& ( X2 = X6 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X5,X6,X4)) ) )
| ~ sP36(X0,X1,X2) ),
inference(rectify,[],[f741]) ).
tff(f743,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ( vqcond(vconstant(vB(vno)),sK303(X0,X1,X2),sK304(X0,X1,X2)) = X0 )
& ( sK305(X0,X1,X2) = X1 )
& ( sK306(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK305(X0,X1,X2),sK306(X0,X1,X2),sK304(X0,X1,X2))) ) )
| ~ sP36(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK303,sK304,sK305,sK306]),skolemize(X3,sK303(X0,X1,X2)),skolemize(X4,sK304(X0,X1,X2)),skolemize(X5,sK305(X0,X1,X2)),skolemize(X6,sK306(X0,X1,X2))],[f742]) ).
tff(f744,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X84: vGID,X85: vQuestionnaire,X86: vAnsMap,X87: vQMap] :
( ( X0 = vqgroup(X84,X85) )
& ( X1 = X86 )
& ( X2 = X87 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X86,X87,X85)) ) )
| ~ sP35(X0,X1,X2) ),
inference(nnf_transformation,[],[f574]) ).
tff(f745,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vGID,X4: vQuestionnaire,X5: vAnsMap,X6: vQMap] :
( ( vqgroup(X3,X4) = X0 )
& ( X1 = X5 )
& ( X2 = X6 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X5,X6,X4)) ) )
| ~ sP35(X0,X1,X2) ),
inference(rectify,[],[f744]) ).
tff(f746,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ( vqgroup(sK307(X0,X1,X2),sK308(X0,X1,X2)) = X0 )
& ( sK309(X0,X1,X2) = X1 )
& ( sK310(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK309(X0,X1,X2),sK310(X0,X1,X2),sK308(X0,X1,X2))) ) )
| ~ sP35(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK307,sK308,sK309,sK310]),skolemize(X3,sK307(X0,X1,X2)),skolemize(X4,sK308(X0,X1,X2)),skolemize(X5,sK309(X0,X1,X2)),skolemize(X6,sK310(X0,X1,X2))],[f745]) ).
tff(f747,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X5: vQMap,X6: vAType,X7: vLabel,X8: vAval,X9: vAnsMap,X10: vQID] :
( ( X8 = vgetAnswer(X7,X6) )
& ( X0 = vqsingle(vquestion(X10,X7,X6)) )
& ( X1 = X9 )
& ( X2 = X5 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(X10,X8,X9),X5,vqempty)) ) )
| ~ sP34(X0,X1,X2) ),
inference(nnf_transformation,[],[f573]) ).
tff(f748,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQMap,X4: vAType,X5: vLabel,X6: vAval,X7: vAnsMap,X8: vQID] :
( ( vgetAnswer(X5,X4) = X6 )
& ( vqsingle(vquestion(X8,X5,X4)) = X0 )
& ( X1 = X7 )
& ( X2 = X3 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(X8,X6,X7),X3,vqempty)) ) )
| ~ sP34(X0,X1,X2) ),
inference(rectify,[],[f747]) ).
tff(f749,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ( sK314(X0,X1,X2) = vgetAnswer(sK313(X0,X1,X2),sK312(X0,X1,X2)) )
& ( vqsingle(vquestion(sK316(X0,X1,X2),sK313(X0,X1,X2),sK312(X0,X1,X2))) = X0 )
& ( sK315(X0,X1,X2) = X1 )
& ( sK311(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(sK316(X0,X1,X2),sK314(X0,X1,X2),sK315(X0,X1,X2)),sK311(X0,X1,X2),vqempty)) ) )
| ~ sP34(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK311,sK312,sK313,sK314,sK315,sK316]),skolemize(X3,sK311(X0,X1,X2)),skolemize(X4,sK312(X0,X1,X2)),skolemize(X5,sK313(X0,X1,X2)),skolemize(X6,sK314(X0,X1,X2)),skolemize(X7,sK315(X0,X1,X2)),skolemize(X8,sK316(X0,X1,X2))],[f748]) ).
tff(f750,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X11: vQMap,X12: vAType,X13: vAnsMap,X14: vQID,X15: vExp] :
( vexpIsValue(X15)
& ( X0 = vqsingle(vvalue(X14,X12,X15)) )
& ( X1 = X13 )
& ( X2 = X11 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(X14,vgetExpValue(X15),X13),X11,vqempty)) ) )
| ~ sP33(X0,X1,X2) ),
inference(nnf_transformation,[],[f572]) ).
tff(f751,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQMap,X4: vAType,X5: vAnsMap,X6: vQID,X7: vExp] :
( vexpIsValue(X7)
& ( vqsingle(vvalue(X6,X4,X7)) = X0 )
& ( X1 = X5 )
& ( X2 = X3 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(X6,vgetExpValue(X7),X5),X3,vqempty)) ) )
| ~ sP33(X0,X1,X2) ),
inference(rectify,[],[f750]) ).
tff(f752,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( vexpIsValue(sK321(X0,X1,X2))
& ( vqsingle(vvalue(sK320(X0,X1,X2),sK318(X0,X1,X2),sK321(X0,X1,X2))) = X0 )
& ( sK319(X0,X1,X2) = X1 )
& ( sK317(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(sK320(X0,X1,X2),vgetExpValue(sK321(X0,X1,X2)),sK319(X0,X1,X2)),sK317(X0,X1,X2),vqempty)) ) )
| ~ sP33(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK317,sK318,sK319,sK320,sK321]),skolemize(X3,sK317(X0,X1,X2)),skolemize(X4,sK318(X0,X1,X2)),skolemize(X5,sK319(X0,X1,X2)),skolemize(X6,sK320(X0,X1,X2)),skolemize(X7,sK321(X0,X1,X2))],[f751]) ).
tff(f753,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X33: vQID,X34: vOptQuestion,X35: vQMap,X36: vAnsMap] :
( ( X34 = vlookupQMap(X33,X35) )
& visSomeQuestion(X34)
& ( X0 = vqsingle(vask(X33)) )
& ( X1 = X36 )
& ( X2 = X35 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X36,X35,vqsingle(vquestion(X33,vgetQuestionLabel(X34),vgetQuestionAType(X34))))) ) )
| ~ sP32(X0,X1,X2) ),
inference(nnf_transformation,[],[f571]) ).
tff(f754,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQID,X4: vOptQuestion,X5: vQMap,X6: vAnsMap] :
( ( vlookupQMap(X3,X5) = X4 )
& visSomeQuestion(X4)
& ( vqsingle(vask(X3)) = X0 )
& ( X1 = X6 )
& ( X2 = X5 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X6,X5,vqsingle(vquestion(X3,vgetQuestionLabel(X4),vgetQuestionAType(X4))))) ) )
| ~ sP32(X0,X1,X2) ),
inference(rectify,[],[f753]) ).
tff(f755,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ( sK323(X0,X1,X2) = vlookupQMap(sK322(X0,X1,X2),sK324(X0,X1,X2)) )
& visSomeQuestion(sK323(X0,X1,X2))
& ( vqsingle(vask(sK322(X0,X1,X2))) = X0 )
& ( sK325(X0,X1,X2) = X1 )
& ( sK324(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK325(X0,X1,X2),sK324(X0,X1,X2),vqsingle(vquestion(sK322(X0,X1,X2),vgetQuestionLabel(sK323(X0,X1,X2)),vgetQuestionAType(sK323(X0,X1,X2)))))) ) )
| ~ sP32(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK322,sK323,sK324,sK325]),skolemize(X3,sK322(X0,X1,X2)),skolemize(X4,sK323(X0,X1,X2)),skolemize(X5,sK324(X0,X1,X2)),skolemize(X6,sK325(X0,X1,X2))],[f754]) ).
tff(f756,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X37: vQID,X38: vOptQuestion,X39: vQMap,X40: vAnsMap] :
( ( X38 = vlookupQMap(X37,X39) )
& ~ visSomeQuestion(X38)
& ( X0 = vqsingle(vask(X37)) )
& ( X1 = X40 )
& ( X2 = X39 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP31(X0,X1,X2) ),
inference(nnf_transformation,[],[f570]) ).
tff(f757,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQID,X4: vOptQuestion,X5: vQMap,X6: vAnsMap] :
( ( vlookupQMap(X3,X5) = X4 )
& ~ visSomeQuestion(X4)
& ( vqsingle(vask(X3)) = X0 )
& ( X1 = X6 )
& ( X2 = X5 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP31(X0,X1,X2) ),
inference(rectify,[],[f756]) ).
tff(f758,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ( sK327(X0,X1,X2) = vlookupQMap(sK326(X0,X1,X2),sK328(X0,X1,X2)) )
& ~ visSomeQuestion(sK327(X0,X1,X2))
& ( vqsingle(vask(sK326(X0,X1,X2))) = X0 )
& ( sK329(X0,X1,X2) = X1 )
& ( sK328(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP31(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK326,sK327,sK328,sK329]),skolemize(X3,sK326(X0,X1,X2)),skolemize(X4,sK327(X0,X1,X2)),skolemize(X5,sK328(X0,X1,X2)),skolemize(X6,sK329(X0,X1,X2))],[f757]) ).
tff(f759,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X16: vQMap,X17: vAType,X18: vOptExp,X19: vAnsMap,X20: vQID,X21: vExp] :
( ~ vexpIsValue(X21)
& ( X18 = vreduceExp(X21,X19) )
& visSomeExp(X18)
& ( X0 = vqsingle(vvalue(X20,X17,X21)) )
& ( X1 = X19 )
& ( X2 = X16 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X19,X16,vqsingle(vvalue(X20,X17,vgetExp(X18))))) ) )
| ~ sP30(X0,X1,X2) ),
inference(nnf_transformation,[],[f569]) ).
tff(f760,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQMap,X4: vAType,X5: vOptExp,X6: vAnsMap,X7: vQID,X8: vExp] :
( ~ vexpIsValue(X8)
& ( vreduceExp(X8,X6) = X5 )
& visSomeExp(X5)
& ( vqsingle(vvalue(X7,X4,X8)) = X0 )
& ( X1 = X6 )
& ( X2 = X3 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X6,X3,vqsingle(vvalue(X7,X4,vgetExp(X5))))) ) )
| ~ sP30(X0,X1,X2) ),
inference(rectify,[],[f759]) ).
tff(f761,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ~ vexpIsValue(sK335(X0,X1,X2))
& ( sK332(X0,X1,X2) = vreduceExp(sK335(X0,X1,X2),sK333(X0,X1,X2)) )
& visSomeExp(sK332(X0,X1,X2))
& ( vqsingle(vvalue(sK334(X0,X1,X2),sK331(X0,X1,X2),sK335(X0,X1,X2))) = X0 )
& ( sK333(X0,X1,X2) = X1 )
& ( sK330(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK333(X0,X1,X2),sK330(X0,X1,X2),vqsingle(vvalue(sK334(X0,X1,X2),sK331(X0,X1,X2),vgetExp(sK332(X0,X1,X2)))))) ) )
| ~ sP30(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK330,sK331,sK332,sK333,sK334,sK335]),skolemize(X3,sK330(X0,X1,X2)),skolemize(X4,sK331(X0,X1,X2)),skolemize(X5,sK332(X0,X1,X2)),skolemize(X6,sK333(X0,X1,X2)),skolemize(X7,sK334(X0,X1,X2)),skolemize(X8,sK335(X0,X1,X2))],[f760]) ).
tff(f762,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X22: vQMap,X23: vAType,X24: vOptExp,X25: vAnsMap,X26: vQID,X27: vExp] :
( ~ vexpIsValue(X27)
& ( X24 = vreduceExp(X27,X25) )
& ~ visSomeExp(X24)
& ( X0 = vqsingle(vvalue(X26,X23,X27)) )
& ( X1 = X25 )
& ( X2 = X22 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP29(X0,X1,X2) ),
inference(nnf_transformation,[],[f568]) ).
tff(f763,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQMap,X4: vAType,X5: vOptExp,X6: vAnsMap,X7: vQID,X8: vExp] :
( ~ vexpIsValue(X8)
& ( vreduceExp(X8,X6) = X5 )
& ~ visSomeExp(X5)
& ( vqsingle(vvalue(X7,X4,X8)) = X0 )
& ( X1 = X6 )
& ( X2 = X3 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP29(X0,X1,X2) ),
inference(rectify,[],[f762]) ).
tff(f764,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ~ vexpIsValue(sK341(X0,X1,X2))
& ( sK338(X0,X1,X2) = vreduceExp(sK341(X0,X1,X2),sK339(X0,X1,X2)) )
& ~ visSomeExp(sK338(X0,X1,X2))
& ( vqsingle(vvalue(sK340(X0,X1,X2),sK337(X0,X1,X2),sK341(X0,X1,X2))) = X0 )
& ( sK339(X0,X1,X2) = X1 )
& ( sK336(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP29(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK336,sK337,sK338,sK339,sK340,sK341]),skolemize(X3,sK336(X0,X1,X2)),skolemize(X4,sK337(X0,X1,X2)),skolemize(X5,sK338(X0,X1,X2)),skolemize(X6,sK339(X0,X1,X2)),skolemize(X7,sK340(X0,X1,X2)),skolemize(X8,sK341(X0,X1,X2))],[f763]) ).
tff(f765,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X44: vQMap,X45: vQuestionnaire,X46: vAnsMap,X47: vQuestionnaire,X48: vOptQConf] :
( ! [X49: vQuestionnaire] :
( ( X45 != vqempty )
| ( X47 != X49 ) )
& ( X48 = vreduce(X45,X46,X44) )
& visSomeQC(X48)
& ( X0 = vqseq(X45,X47) )
& ( X1 = X46 )
& ( X2 = X44 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vqcappend(vgetQC(X48),X47)) ) )
| ~ sP28(X0,X1,X2) ),
inference(nnf_transformation,[],[f567]) ).
tff(f766,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQMap,X4: vQuestionnaire,X5: vAnsMap,X6: vQuestionnaire,X7: vOptQConf] :
( ! [X8: vQuestionnaire] :
( ( vqempty != X4 )
| ( X6 != X8 ) )
& ( vreduce(X4,X5,X3) = X7 )
& visSomeQC(X7)
& ( vqseq(X4,X6) = X0 )
& ( X1 = X5 )
& ( X2 = X3 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vqcappend(vgetQC(X7),X6)) ) )
| ~ sP28(X0,X1,X2) ),
inference(rectify,[],[f765]) ).
tff(f767,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ! [X8: vQuestionnaire] :
( ( vqempty != sK343(X0,X1,X2) )
| ( sK345(X0,X1,X2) != X8 ) )
& ( sK346(X0,X1,X2) = vreduce(sK343(X0,X1,X2),sK344(X0,X1,X2),sK342(X0,X1,X2)) )
& visSomeQC(sK346(X0,X1,X2))
& ( vqseq(sK343(X0,X1,X2),sK345(X0,X1,X2)) = X0 )
& ( sK344(X0,X1,X2) = X1 )
& ( sK342(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vqcappend(vgetQC(sK346(X0,X1,X2)),sK345(X0,X1,X2))) ) )
| ~ sP28(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK342,sK343,sK344,sK345,sK346]),skolemize(X3,sK342(X0,X1,X2)),skolemize(X4,sK343(X0,X1,X2)),skolemize(X5,sK344(X0,X1,X2)),skolemize(X6,sK345(X0,X1,X2)),skolemize(X7,sK346(X0,X1,X2))],[f766]) ).
tff(f768,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X50: vQMap,X51: vQuestionnaire,X52: vAnsMap,X53: vQuestionnaire,X54: vOptQConf] :
( ! [X55: vQuestionnaire] :
( ( X51 != vqempty )
| ( X53 != X55 ) )
& ( X54 = vreduce(X51,X52,X50) )
& ~ visSomeQC(X54)
& ( X0 = vqseq(X51,X53) )
& ( X1 = X52 )
& ( X2 = X50 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP27(X0,X1,X2) ),
inference(nnf_transformation,[],[f566]) ).
tff(f769,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQMap,X4: vQuestionnaire,X5: vAnsMap,X6: vQuestionnaire,X7: vOptQConf] :
( ! [X8: vQuestionnaire] :
( ( vqempty != X4 )
| ( X6 != X8 ) )
& ( vreduce(X4,X5,X3) = X7 )
& ~ visSomeQC(X7)
& ( vqseq(X4,X6) = X0 )
& ( X1 = X5 )
& ( X2 = X3 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP27(X0,X1,X2) ),
inference(rectify,[],[f768]) ).
tff(f770,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ! [X8: vQuestionnaire] :
( ( vqempty != sK348(X0,X1,X2) )
| ( sK350(X0,X1,X2) != X8 ) )
& ( sK351(X0,X1,X2) = vreduce(sK348(X0,X1,X2),sK349(X0,X1,X2),sK347(X0,X1,X2)) )
& ~ visSomeQC(sK351(X0,X1,X2))
& ( vqseq(sK348(X0,X1,X2),sK350(X0,X1,X2)) = X0 )
& ( sK349(X0,X1,X2) = X1 )
& ( sK347(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP27(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK347,sK348,sK349,sK350,sK351]),skolemize(X3,sK347(X0,X1,X2)),skolemize(X4,sK348(X0,X1,X2)),skolemize(X5,sK349(X0,X1,X2)),skolemize(X6,sK350(X0,X1,X2)),skolemize(X7,sK351(X0,X1,X2))],[f769]) ).
tff(f771,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X64: vQMap,X65: vOptExp,X66: vQuestionnaire,X67: vExp,X68: vAnsMap,X69: vQuestionnaire] :
( ! [X70: vQuestionnaire,X71: vQuestionnaire] :
( ( X67 != vconstant(vB(vyes)) )
| ( X66 != X70 )
| ( X69 != X71 ) )
& ! [X72: vQuestionnaire,X73: vQuestionnaire] :
( ( X67 != vconstant(vB(vno)) )
| ( X66 != X72 )
| ( X69 != X73 ) )
& ( X65 = vreduceExp(X67,X68) )
& visSomeExp(X65)
& ( X0 = vqcond(X67,X66,X69) )
& ( X1 = X68 )
& ( X2 = X64 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X68,X64,vqcond(vgetExp(X65),X66,X69))) ) )
| ~ sP26(X0,X1,X2) ),
inference(nnf_transformation,[],[f565]) ).
tff(f772,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQMap,X4: vOptExp,X5: vQuestionnaire,X6: vExp,X7: vAnsMap,X8: vQuestionnaire] :
( ! [X9: vQuestionnaire,X10: vQuestionnaire] :
( ( vconstant(vB(vyes)) != X6 )
| ( X5 != X9 )
| ( X8 != X10 ) )
& ! [X11: vQuestionnaire,X12: vQuestionnaire] :
( ( vconstant(vB(vno)) != X6 )
| ( X5 != X11 )
| ( X8 != X12 ) )
& ( vreduceExp(X6,X7) = X4 )
& visSomeExp(X4)
& ( vqcond(X6,X5,X8) = X0 )
& ( X1 = X7 )
& ( X2 = X3 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X7,X3,vqcond(vgetExp(X4),X5,X8))) ) )
| ~ sP26(X0,X1,X2) ),
inference(rectify,[],[f771]) ).
tff(f773,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ! [X9: vQuestionnaire,X10: vQuestionnaire] :
( ( vconstant(vB(vyes)) != sK355(X0,X1,X2) )
| ( sK354(X0,X1,X2) != X9 )
| ( sK357(X0,X1,X2) != X10 ) )
& ! [X11: vQuestionnaire,X12: vQuestionnaire] :
( ( vconstant(vB(vno)) != sK355(X0,X1,X2) )
| ( sK354(X0,X1,X2) != X11 )
| ( sK357(X0,X1,X2) != X12 ) )
& ( sK353(X0,X1,X2) = vreduceExp(sK355(X0,X1,X2),sK356(X0,X1,X2)) )
& visSomeExp(sK353(X0,X1,X2))
& ( vqcond(sK355(X0,X1,X2),sK354(X0,X1,X2),sK357(X0,X1,X2)) = X0 )
& ( sK356(X0,X1,X2) = X1 )
& ( sK352(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK356(X0,X1,X2),sK352(X0,X1,X2),vqcond(vgetExp(sK353(X0,X1,X2)),sK354(X0,X1,X2),sK357(X0,X1,X2)))) ) )
| ~ sP26(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK352,sK353,sK354,sK355,sK356,sK357]),skolemize(X3,sK352(X0,X1,X2)),skolemize(X4,sK353(X0,X1,X2)),skolemize(X5,sK354(X0,X1,X2)),skolemize(X6,sK355(X0,X1,X2)),skolemize(X7,sK356(X0,X1,X2)),skolemize(X8,sK357(X0,X1,X2))],[f772]) ).
tff(f774,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X74: vQMap,X75: vOptExp,X76: vQuestionnaire,X77: vExp,X78: vAnsMap,X79: vQuestionnaire] :
( ! [X80: vQuestionnaire,X81: vQuestionnaire] :
( ( X77 != vconstant(vB(vyes)) )
| ( X76 != X80 )
| ( X79 != X81 ) )
& ! [X82: vQuestionnaire,X83: vQuestionnaire] :
( ( X77 != vconstant(vB(vno)) )
| ( X76 != X82 )
| ( X79 != X83 ) )
& ( X75 = vreduceExp(X77,X78) )
& ~ visSomeExp(X75)
& ( X0 = vqcond(X77,X76,X79) )
& ( X1 = X78 )
& ( X2 = X74 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP25(X0,X1,X2) ),
inference(nnf_transformation,[],[f564]) ).
tff(f775,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vQMap,X4: vOptExp,X5: vQuestionnaire,X6: vExp,X7: vAnsMap,X8: vQuestionnaire] :
( ! [X9: vQuestionnaire,X10: vQuestionnaire] :
( ( vconstant(vB(vyes)) != X6 )
| ( X5 != X9 )
| ( X8 != X10 ) )
& ! [X11: vQuestionnaire,X12: vQuestionnaire] :
( ( vconstant(vB(vno)) != X6 )
| ( X5 != X11 )
| ( X8 != X12 ) )
& ( vreduceExp(X6,X7) = X4 )
& ~ visSomeExp(X4)
& ( vqcond(X6,X5,X8) = X0 )
& ( X1 = X7 )
& ( X2 = X3 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP25(X0,X1,X2) ),
inference(rectify,[],[f774]) ).
tff(f776,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ! [X9: vQuestionnaire,X10: vQuestionnaire] :
( ( vconstant(vB(vyes)) != sK361(X0,X1,X2) )
| ( sK360(X0,X1,X2) != X9 )
| ( sK363(X0,X1,X2) != X10 ) )
& ! [X11: vQuestionnaire,X12: vQuestionnaire] :
( ( vconstant(vB(vno)) != sK361(X0,X1,X2) )
| ( sK360(X0,X1,X2) != X11 )
| ( sK363(X0,X1,X2) != X12 ) )
& ( sK359(X0,X1,X2) = vreduceExp(sK361(X0,X1,X2),sK362(X0,X1,X2)) )
& ~ visSomeExp(sK359(X0,X1,X2))
& ( vqcond(sK361(X0,X1,X2),sK360(X0,X1,X2),sK363(X0,X1,X2)) = X0 )
& ( sK362(X0,X1,X2) = X1 )
& ( sK358(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| ~ sP25(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK358,sK359,sK360,sK361,sK362,sK363]),skolemize(X3,sK358(X0,X1,X2)),skolemize(X4,sK359(X0,X1,X2)),skolemize(X5,sK360(X0,X1,X2)),skolemize(X6,sK361(X0,X1,X2)),skolemize(X7,sK362(X0,X1,X2)),skolemize(X8,sK363(X0,X1,X2))],[f775]) ).
tff(f777,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ? [X3: vAnsMap,X4: vQMap] :
( ( X0 = vqempty )
& ( X1 = X3 )
& ( X2 = X4 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| sP34(X0,X1,X2)
| sP33(X0,X1,X2)
| sP30(X0,X1,X2)
| sP29(X0,X1,X2)
| ? [X5: vQMap,X6: vAType,X7: vLabel,X8: vAnsMap,X9: vQID] :
( ( vqsingle(vdefquestion(X9,X7,X6)) = X0 )
& ( X1 = X8 )
& ( X2 = X5 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(X8,vqmbind(X9,X7,X6,X5),vqempty)) ) )
| sP32(X0,X1,X2)
| sP31(X0,X1,X2)
| sP38(X0,X1,X2)
| sP28(X0,X1,X2)
| sP27(X0,X1,X2)
| sP37(X0,X1,X2)
| sP36(X0,X1,X2)
| sP26(X0,X1,X2)
| sP25(X0,X1,X2)
| sP35(X0,X1,X2) ),
inference(rectify,[],[f578]) ).
tff(f778,plain,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] :
( ( ( X0 = vqempty )
& ( sK364(X0,X1,X2) = X1 )
& ( sK365(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vnoQConf ) )
| sP34(X0,X1,X2)
| sP33(X0,X1,X2)
| sP30(X0,X1,X2)
| sP29(X0,X1,X2)
| ( ( vqsingle(vdefquestion(sK370(X0,X1,X2),sK368(X0,X1,X2),sK367(X0,X1,X2))) = X0 )
& ( sK369(X0,X1,X2) = X1 )
& ( sK366(X0,X1,X2) = X2 )
& ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK369(X0,X1,X2),vqmbind(sK370(X0,X1,X2),sK368(X0,X1,X2),sK367(X0,X1,X2),sK366(X0,X1,X2)),vqempty)) ) )
| sP32(X0,X1,X2)
| sP31(X0,X1,X2)
| sP38(X0,X1,X2)
| sP28(X0,X1,X2)
| sP27(X0,X1,X2)
| sP37(X0,X1,X2)
| sP36(X0,X1,X2)
| sP26(X0,X1,X2)
| sP25(X0,X1,X2)
| sP35(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK364,sK365,sK366,sK367,sK368,sK369,sK370]),skolemize(X3,sK364(X0,X1,X2)),skolemize(X4,sK365(X0,X1,X2)),skolemize(X5,sK366(X0,X1,X2)),skolemize(X6,sK367(X0,X1,X2)),skolemize(X7,sK368(X0,X1,X2)),skolemize(X8,sK369(X0,X1,X2)),skolemize(X9,sK370(X0,X1,X2))],[f777]) ).
tff(f831,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(sK453(X0,X1,X4,X5,X6),sK454(X0,X1,X4,X5,X6),sK455(X0,X1,X4,X5,X6))) )
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK453,sK454,sK455]),skolemize(X7,sK453(X0,X1,X4,X5,X6)),skolemize(X8,sK454(X0,X1,X4,X5,X6)),skolemize(X9,sK455(X0,X1,X4,X5,X6))],[f527]) ).
tff(f833,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAnsMap,X4: vQID] :
( ( vreduce(vqsingle(vask(X4)),X3,X0) = vsomeQConf(vQC(sK459(X0,X3,X4),sK460(X0,X3,X4),sK461(X0,X3,X4))) )
| visValue(vqsingle(vask(X4)))
| ~ vptcheck(vMC(vtypeAM(X3),vtypeQM(X0)),vqsingle(vask(X4)),vMC(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK459,sK460,sK461]),skolemize(X5,sK459(X0,X3,X4)),skolemize(X6,sK460(X0,X3,X4)),skolemize(X7,sK461(X0,X3,X4))],[f531]) ).
tff(f834,plain,
( ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqsingle(sK465),sK466,sK462) )
& ~ visValue(vqsingle(sK465))
& vptcheck(vMC(vtypeAM(sK466),vtypeQM(sK462)),vqsingle(sK465),vMC(sK463,sK464)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK462,sK463,sK464,sK465,sK466]),skolemize(X0,sK462),skolemize(X1,sK463),skolemize(X2,sK464),skolemize(X3,sK465),skolemize(X4,sK466)],[f533]) ).
tff(f895,plain,
! [X0: vEntry] : ( vqempty != vqsingle(X0) ),
inference(cnf_transformation,[],[f44]) ).
tff(f899,plain,
! [X2: vQuestionnaire,X0: vEntry,X1: vQuestionnaire] : ( vqsingle(X0) != vqseq(X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
tff(f900,plain,
! [X2: vQuestionnaire,X3: vQuestionnaire,X0: vEntry,X1: vExp] : ( vqsingle(X0) != vqcond(X1,X2,X3) ),
inference(cnf_transformation,[],[f49]) ).
tff(f901,plain,
! [X2: vQuestionnaire,X0: vEntry,X1: vGID] : ( vqsingle(X0) != vqgroup(X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
tff(f1262,plain,
! [X0: vQConf,X1: vQuestionnaire] : ( vqcappend(X0,X1) = vQC(sK189(X0,X1),sK190(X0,X1),vqseq(sK191(X0,X1),sK192(X0,X1))) ),
inference(cnf_transformation,[],[f650]) ).
tff(f1264,plain,
! [X0: vQConf,X1: vQuestionnaire] : ( vQC(sK189(X0,X1),sK190(X0,X1),sK191(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f650]) ).
tff(f1514,plain,
! [X2: vAnsMap,X3: vQID,X0: vQMap,X1: vAType,X4: vExp] :
( ( vnoQConf = vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) )
| vexpIsValue(X4)
| visSomeExp(vreduceExp(X4,X2)) ),
inference(cnf_transformation,[],[f450]) ).
tff(f1547,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqseq(vqempty,sK296(X0,X1,X2)) = X0 )
| ~ sP38(X0,X1,X2) ),
inference(cnf_transformation,[],[f737]) ).
tff(f1551,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqcond(vconstant(vB(vyes)),sK299(X0,X1,X2),sK300(X0,X1,X2)) = X0 )
| ~ sP37(X0,X1,X2) ),
inference(cnf_transformation,[],[f740]) ).
tff(f1555,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqcond(vconstant(vB(vno)),sK303(X0,X1,X2),sK304(X0,X1,X2)) = X0 )
| ~ sP36(X0,X1,X2) ),
inference(cnf_transformation,[],[f743]) ).
tff(f1559,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqgroup(sK307(X0,X1,X2),sK308(X0,X1,X2)) = X0 )
| ~ sP35(X0,X1,X2) ),
inference(cnf_transformation,[],[f746]) ).
tff(f1560,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(sK316(X0,X1,X2),sK314(X0,X1,X2),sK315(X0,X1,X2)),sK311(X0,X1,X2),vqempty)) )
| ~ sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f749]) ).
tff(f1565,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) = vsomeQConf(vQC(vabind(sK320(X0,X1,X2),vgetExpValue(sK321(X0,X1,X2)),sK319(X0,X1,X2)),sK317(X0,X1,X2),vqempty)) )
| ~ sP33(X0,X1,X2) ),
inference(cnf_transformation,[],[f752]) ).
tff(f1570,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK325(X0,X1,X2),sK324(X0,X1,X2),vqsingle(vquestion(sK322(X0,X1,X2),vgetQuestionLabel(sK323(X0,X1,X2)),vgetQuestionAType(sK323(X0,X1,X2)))))) )
| ~ sP32(X0,X1,X2) ),
inference(cnf_transformation,[],[f755]) ).
tff(f1576,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vnoQConf = vreduce(X0,X1,X2) )
| ~ sP31(X0,X1,X2) ),
inference(cnf_transformation,[],[f758]) ).
tff(f1579,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqsingle(vask(sK326(X0,X1,X2))) = X0 )
| ~ sP31(X0,X1,X2) ),
inference(cnf_transformation,[],[f758]) ).
tff(f1582,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK333(X0,X1,X2),sK330(X0,X1,X2),vqsingle(vvalue(sK334(X0,X1,X2),sK331(X0,X1,X2),vgetExp(sK332(X0,X1,X2)))))) )
| ~ sP30(X0,X1,X2) ),
inference(cnf_transformation,[],[f761]) ).
tff(f1589,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vnoQConf = vreduce(X0,X1,X2) )
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f764]) ).
tff(f1591,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( sK339(X0,X1,X2) = X1 )
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f764]) ).
tff(f1592,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqsingle(vvalue(sK340(X0,X1,X2),sK337(X0,X1,X2),sK341(X0,X1,X2))) = X0 )
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f764]) ).
tff(f1593,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ~ visSomeExp(sK338(X0,X1,X2))
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f764]) ).
tff(f1594,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( sK338(X0,X1,X2) = vreduceExp(sK341(X0,X1,X2),sK339(X0,X1,X2)) )
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f764]) ).
tff(f1595,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ~ vexpIsValue(sK341(X0,X1,X2))
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f764]) ).
tff(f1596,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) = vsomeQConf(vqcappend(vgetQC(sK346(X0,X1,X2)),sK345(X0,X1,X2))) )
| ~ sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f767]) ).
tff(f1603,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vnoQConf = vreduce(X0,X1,X2) )
| ~ sP27(X0,X1,X2) ),
inference(cnf_transformation,[],[f770]) ).
tff(f1606,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqseq(sK348(X0,X1,X2),sK350(X0,X1,X2)) = X0 )
| ~ sP27(X0,X1,X2) ),
inference(cnf_transformation,[],[f770]) ).
tff(f1610,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK356(X0,X1,X2),sK352(X0,X1,X2),vqcond(vgetExp(sK353(X0,X1,X2)),sK354(X0,X1,X2),sK357(X0,X1,X2)))) )
| ~ sP26(X0,X1,X2) ),
inference(cnf_transformation,[],[f773]) ).
tff(f1618,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vnoQConf = vreduce(X0,X1,X2) )
| ~ sP25(X0,X1,X2) ),
inference(cnf_transformation,[],[f776]) ).
tff(f1621,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqcond(sK361(X0,X1,X2),sK360(X0,X1,X2),sK363(X0,X1,X2)) = X0 )
| ~ sP25(X0,X1,X2) ),
inference(cnf_transformation,[],[f776]) ).
tff(f1626,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vnoQConf = vreduce(X0,X1,X2) )
| sP34(X0,X1,X2)
| sP33(X0,X1,X2)
| sP30(X0,X1,X2)
| sP29(X0,X1,X2)
| ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK369(X0,X1,X2),vqmbind(sK370(X0,X1,X2),sK368(X0,X1,X2),sK367(X0,X1,X2),sK366(X0,X1,X2)),vqempty)) )
| sP32(X0,X1,X2)
| sP31(X0,X1,X2)
| sP38(X0,X1,X2)
| sP28(X0,X1,X2)
| sP27(X0,X1,X2)
| sP37(X0,X1,X2)
| sP36(X0,X1,X2)
| sP26(X0,X1,X2)
| sP25(X0,X1,X2)
| sP35(X0,X1,X2) ),
inference(cnf_transformation,[],[f778]) ).
tff(f1638,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vqempty = X0 )
| sP34(X0,X1,X2)
| sP33(X0,X1,X2)
| sP30(X0,X1,X2)
| sP29(X0,X1,X2)
| ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK369(X0,X1,X2),vqmbind(sK370(X0,X1,X2),sK368(X0,X1,X2),sK367(X0,X1,X2),sK366(X0,X1,X2)),vqempty)) )
| sP32(X0,X1,X2)
| sP31(X0,X1,X2)
| sP38(X0,X1,X2)
| sP28(X0,X1,X2)
| sP27(X0,X1,X2)
| sP37(X0,X1,X2)
| sP36(X0,X1,X2)
| sP26(X0,X1,X2)
| sP25(X0,X1,X2)
| sP35(X0,X1,X2) ),
inference(cnf_transformation,[],[f778]) ).
tff(f1925,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap,X4: vQID] :
( ( X0 = X2 )
| ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2)) ),
inference(cnf_transformation,[],[f504]) ).
tff(f1939,plain,
! [X2: vATMap,X3: vATMap,X0: vQMap,X1: vAType,X6: vExp,X4: vAnsMap,X5: vQID] :
( ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(sK453(X0,X1,X4,X5,X6),sK454(X0,X1,X4,X5,X6),sK455(X0,X1,X4,X5,X6))) )
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(cnf_transformation,[],[f831]) ).
tff(f1941,plain,
! [X2: vATMap,X3: vAnsMap,X0: vQMap,X1: vATMap,X4: vQID] :
( ( vreduce(vqsingle(vask(X4)),X3,X0) = vsomeQConf(vQC(sK459(X0,X3,X4),sK460(X0,X3,X4),sK461(X0,X3,X4))) )
| visValue(vqsingle(vask(X4)))
| ~ vptcheck(vMC(vtypeAM(X3),vtypeQM(X0)),vqsingle(vask(X4)),vMC(X1,X2)) ),
inference(cnf_transformation,[],[f833]) ).
tff(f1942,plain,
vptcheck(vMC(vtypeAM(sK466),vtypeQM(sK462)),vqsingle(sK465),vMC(sK463,sK464)),
inference(cnf_transformation,[],[f834]) ).
tff(f1943,plain,
~ visValue(vqsingle(sK465)),
inference(cnf_transformation,[],[f834]) ).
tff(f1944,plain,
! [X6: vQMap,X7: vQuestionnaire,X5: vAnsMap] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqsingle(sK465),sK466,sK462) ),
inference(cnf_transformation,[],[f834]) ).
tff(f1951,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) = vsomeQConf(vQC(sK189(vgetQC(sK346(X0,X1,X2)),sK345(X0,X1,X2)),sK190(vgetQC(sK346(X0,X1,X2)),sK345(X0,X1,X2)),vqseq(sK191(vgetQC(sK346(X0,X1,X2)),sK345(X0,X1,X2)),sK192(vgetQC(sK346(X0,X1,X2)),sK345(X0,X1,X2))))) )
| ~ sP28(X0,X1,X2) ),
inference(definition_unfolding,[],[f1596,f1262]) ).
tff(f2067,definition,
( spl496_1
<=> visValue(vqsingle(sK465)) ),
introduced(definition,[new_symbols(definition,[spl496_1])],[avatar_definition]) ).
tff(f2069,plain,
( ~ visValue(vqsingle(sK465))
| spl496_1 ),
inference(avatar_component_clause,[],[f2067]) ).
tff(f2070,plain,
~ spl496_1,
inference(avatar_split_clause,[],[f1943,f2067]) ).
tff(f2074,definition,
( spl496_2
<=> ! [X6: vQMap,X5: vAnsMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqsingle(sK465),sK466,sK462) ) ),
introduced(definition,[new_symbols(definition,[spl496_2])],[avatar_definition]) ).
tff(f2075,plain,
( ! [X6: vQMap,X7: vQuestionnaire,X5: vAnsMap] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ spl496_2 ),
inference(avatar_component_clause,[],[f2074]) ).
tff(f2076,plain,
spl496_2,
inference(avatar_split_clause,[],[f1944,f2074]) ).
tff(f2082,plain,
( ! [X0: vQConf] : ( vsomeQConf(X0) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ spl496_2 ),
inference(superposition,[],[f2075,f1264]) ).
tff(f2101,plain,
( ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP28(X0,X1,X2) )
| ~ spl496_2 ),
inference(superposition,[],[f2075,f1951]) ).
tff(f2106,plain,
( ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP32(X0,X1,X2) )
| ~ spl496_2 ),
inference(superposition,[],[f2075,f1570]) ).
tff(f2107,plain,
( ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP30(X0,X1,X2) )
| ~ spl496_2 ),
inference(superposition,[],[f2075,f1582]) ).
tff(f2108,plain,
( ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP26(X0,X1,X2) )
| ~ spl496_2 ),
inference(superposition,[],[f2075,f1610]) ).
tff(f2110,plain,
( ! [X2: vAnsMap,X3: vQID,X0: vQMap,X1: vAType,X6: vATMap,X4: vExp,X5: vATMap] :
( ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) != vreduce(vqsingle(sK465),sK466,sK462) )
| visValue(vqsingle(vvalue(X3,X1,X4)))
| ~ vptcheck(vMC(vtypeAM(X2),vtypeQM(X0)),vqsingle(vvalue(X3,X1,X4)),vMC(X5,X6)) )
| ~ spl496_2 ),
inference(superposition,[],[f2075,f1939]) ).
tff(f2112,plain,
( ! [X2: vQID,X3: vATMap,X0: vQMap,X1: vAnsMap,X4: vATMap] :
( ( vreduce(vqsingle(sK465),sK466,sK462) != vreduce(vqsingle(vask(X2)),X1,X0) )
| visValue(vqsingle(vask(X2)))
| ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X0)),vqsingle(vask(X2)),vMC(X3,X4)) )
| ~ spl496_2 ),
inference(superposition,[],[f2075,f1941]) ).
tff(f2115,definition,
( spl496_3
<=> vptcheck(vMC(vtypeAM(sK466),vtypeQM(sK462)),vqsingle(sK465),vMC(sK463,sK464)) ),
introduced(definition,[new_symbols(definition,[spl496_3])],[avatar_definition]) ).
tff(f2117,plain,
( vptcheck(vMC(vtypeAM(sK466),vtypeQM(sK462)),vqsingle(sK465),vMC(sK463,sK464))
| ~ spl496_3 ),
inference(avatar_component_clause,[],[f2115]) ).
tff(f2118,plain,
spl496_3,
inference(avatar_split_clause,[],[f1942,f2115]) ).
tff(f2195,definition,
( spl496_8
<=> ! [X0: vQConf] : ( vsomeQConf(X0) != vreduce(vqsingle(sK465),sK466,sK462) ) ),
introduced(definition,[new_symbols(definition,[spl496_8])],[avatar_definition]) ).
tff(f2196,plain,
( ! [X0: vQConf] : ( vsomeQConf(X0) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ spl496_8 ),
inference(avatar_component_clause,[],[f2195]) ).
tff(f2197,plain,
( spl496_8
| ~ spl496_2 ),
inference(avatar_split_clause,[],[f2082,f2074,f2195]) ).
tff(f2285,definition,
( spl496_10
<=> ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP32(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl496_10])],[avatar_definition]) ).
tff(f2286,plain,
( ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP32(X0,X1,X2) )
| ~ spl496_10 ),
inference(avatar_component_clause,[],[f2285]) ).
tff(f2287,plain,
( spl496_10
| ~ spl496_2 ),
inference(avatar_split_clause,[],[f2106,f2074,f2285]) ).
tff(f2289,definition,
( spl496_11
<=> ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP30(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl496_11])],[avatar_definition]) ).
tff(f2290,plain,
( ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP30(X0,X1,X2) )
| ~ spl496_11 ),
inference(avatar_component_clause,[],[f2289]) ).
tff(f2291,plain,
( spl496_11
| ~ spl496_2 ),
inference(avatar_split_clause,[],[f2107,f2074,f2289]) ).
tff(f2331,definition,
( spl496_14
<=> ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP26(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl496_14])],[avatar_definition]) ).
tff(f2332,plain,
( ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP26(X0,X1,X2) )
| ~ spl496_14 ),
inference(avatar_component_clause,[],[f2331]) ).
tff(f2333,plain,
( spl496_14
| ~ spl496_2 ),
inference(avatar_split_clause,[],[f2108,f2074,f2331]) ).
tff(f2339,definition,
( spl496_16
<=> ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP28(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl496_16])],[avatar_definition]) ).
tff(f2340,plain,
( ! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] :
( ( vreduce(X0,X1,X2) != vreduce(vqsingle(sK465),sK466,sK462) )
| ~ sP28(X0,X1,X2) )
| ~ spl496_16 ),
inference(avatar_component_clause,[],[f2339]) ).
tff(f2341,plain,
( spl496_16
| ~ spl496_2 ),
inference(avatar_split_clause,[],[f2101,f2074,f2339]) ).
tff(f2391,plain,
( ~ sP30(vqsingle(sK465),sK466,sK462)
| ~ spl496_11 ),
inference(equality_resolution,[],[f2290]) ).
tff(f2414,definition,
( spl496_20
<=> sP30(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_20])],[avatar_definition]) ).
tff(f2416,plain,
( ~ sP30(vqsingle(sK465),sK466,sK462)
| spl496_20 ),
inference(avatar_component_clause,[],[f2414]) ).
tff(f2417,plain,
( ~ spl496_20
| ~ spl496_11 ),
inference(avatar_split_clause,[],[f2391,f2289,f2414]) ).
tff(f2418,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(sK369(vqsingle(sK465),sK466,sK462),vqmbind(sK370(vqsingle(sK465),sK466,sK462),sK368(vqsingle(sK465),sK466,sK462),sK367(vqsingle(sK465),sK466,sK462),sK366(vqsingle(sK465),sK466,sK462)),vqempty)) )
| sP32(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| spl496_20 ),
inference(resolution,[],[f2416,f1626]) ).
tff(f2430,plain,
( ( vqempty = vqsingle(sK465) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(sK369(vqsingle(sK465),sK466,sK462),vqmbind(sK370(vqsingle(sK465),sK466,sK462),sK368(vqsingle(sK465),sK466,sK462),sK367(vqsingle(sK465),sK466,sK462),sK366(vqsingle(sK465),sK466,sK462)),vqempty)) )
| sP32(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| spl496_20 ),
inference(resolution,[],[f2416,f1638]) ).
tff(f2437,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(sK369(vqsingle(sK465),sK466,sK462),vqmbind(sK370(vqsingle(sK465),sK466,sK462),sK368(vqsingle(sK465),sK466,sK462),sK367(vqsingle(sK465),sK466,sK462),sK366(vqsingle(sK465),sK466,sK462)),vqempty)) )
| sP32(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| spl496_20 ),
inference(forward_subsumption_resolution,[],[f2430,f895]) ).
tff(f2443,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(sK369(vqsingle(sK465),sK466,sK462),vqmbind(sK370(vqsingle(sK465),sK466,sK462),sK368(vqsingle(sK465),sK466,sK462),sK367(vqsingle(sK465),sK466,sK462),sK366(vqsingle(sK465),sK466,sK462)),vqempty)) )
| sP32(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| spl496_20 ),
inference(forward_subsumption_resolution,[],[f2418,f1589]) ).
tff(f2444,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| sP32(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| spl496_20 ),
inference(forward_subsumption_resolution,[],[f2437,f2196]) ).
tff(f2448,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(sK369(vqsingle(sK465),sK466,sK462),vqmbind(sK370(vqsingle(sK465),sK466,sK462),sK368(vqsingle(sK465),sK466,sK462),sK367(vqsingle(sK465),sK466,sK462),sK366(vqsingle(sK465),sK466,sK462)),vqempty)) )
| sP32(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| spl496_20 ),
inference(forward_subsumption_resolution,[],[f2443,f1576]) ).
tff(f2452,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(sK369(vqsingle(sK465),sK466,sK462),vqmbind(sK370(vqsingle(sK465),sK466,sK462),sK368(vqsingle(sK465),sK466,sK462),sK367(vqsingle(sK465),sK466,sK462),sK366(vqsingle(sK465),sK466,sK462)),vqempty)) )
| sP32(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| spl496_20 ),
inference(forward_subsumption_resolution,[],[f2448,f1603]) ).
tff(f2456,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(sK369(vqsingle(sK465),sK466,sK462),vqmbind(sK370(vqsingle(sK465),sK466,sK462),sK368(vqsingle(sK465),sK466,sK462),sK367(vqsingle(sK465),sK466,sK462),sK366(vqsingle(sK465),sK466,sK462)),vqempty)) )
| sP32(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| spl496_20 ),
inference(forward_subsumption_resolution,[],[f2452,f1618]) ).
tff(f2457,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP32(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| spl496_20 ),
inference(forward_subsumption_resolution,[],[f2456,f2196]) ).
tff(f2495,plain,
( ~ sP32(vqsingle(sK465),sK466,sK462)
| ~ spl496_10 ),
inference(equality_resolution,[],[f2286]) ).
tff(f2511,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| spl496_20 ),
inference(backward_subsumption_resolution,[],[f2444,f2495]) ).
tff(f2515,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP26(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| spl496_20 ),
inference(backward_subsumption_resolution,[],[f2457,f2495]) ).
tff(f2594,plain,
( ~ sP26(vqsingle(sK465),sK466,sK462)
| ~ spl496_14 ),
inference(equality_resolution,[],[f2332]) ).
tff(f2610,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| spl496_20 ),
inference(backward_subsumption_resolution,[],[f2511,f2594]) ).
tff(f2614,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP28(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| spl496_20 ),
inference(backward_subsumption_resolution,[],[f2515,f2594]) ).
tff(f2693,plain,
( ~ sP28(vqsingle(sK465),sK466,sK462)
| ~ spl496_16 ),
inference(equality_resolution,[],[f2340]) ).
tff(f2709,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20 ),
inference(backward_subsumption_resolution,[],[f2610,f2693]) ).
tff(f2713,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP36(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20 ),
inference(backward_subsumption_resolution,[],[f2614,f2693]) ).
tff(f2756,definition,
( spl496_24
<=> sP35(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_24])],[avatar_definition]) ).
tff(f2757,plain,
( ~ sP35(vqsingle(sK465),sK466,sK462)
| spl496_24 ),
inference(avatar_component_clause,[],[f2756]) ).
tff(f2758,plain,
( sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_24 ),
inference(avatar_component_clause,[],[f2756]) ).
tff(f2760,definition,
( spl496_25
<=> sP36(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_25])],[avatar_definition]) ).
tff(f2761,plain,
( ~ sP36(vqsingle(sK465),sK466,sK462)
| spl496_25 ),
inference(avatar_component_clause,[],[f2760]) ).
tff(f2762,plain,
( sP36(vqsingle(sK465),sK466,sK462)
| ~ spl496_25 ),
inference(avatar_component_clause,[],[f2760]) ).
tff(f2764,definition,
( spl496_26
<=> sP37(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_26])],[avatar_definition]) ).
tff(f2765,plain,
( ~ sP37(vqsingle(sK465),sK466,sK462)
| spl496_26 ),
inference(avatar_component_clause,[],[f2764]) ).
tff(f2766,plain,
( sP37(vqsingle(sK465),sK466,sK462)
| ~ spl496_26 ),
inference(avatar_component_clause,[],[f2764]) ).
tff(f2768,definition,
( spl496_27
<=> sP38(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_27])],[avatar_definition]) ).
tff(f2769,plain,
( ~ sP38(vqsingle(sK465),sK466,sK462)
| spl496_27 ),
inference(avatar_component_clause,[],[f2768]) ).
tff(f2770,plain,
( sP38(vqsingle(sK465),sK466,sK462)
| ~ spl496_27 ),
inference(avatar_component_clause,[],[f2768]) ).
tff(f2776,definition,
( spl496_29
<=> sP33(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_29])],[avatar_definition]) ).
tff(f2777,plain,
( ~ sP33(vqsingle(sK465),sK466,sK462)
| spl496_29 ),
inference(avatar_component_clause,[],[f2776]) ).
tff(f2778,plain,
( sP33(vqsingle(sK465),sK466,sK462)
| ~ spl496_29 ),
inference(avatar_component_clause,[],[f2776]) ).
tff(f2780,definition,
( spl496_30
<=> sP34(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_30])],[avatar_definition]) ).
tff(f2781,plain,
( ~ sP34(vqsingle(sK465),sK466,sK462)
| spl496_30 ),
inference(avatar_component_clause,[],[f2780]) ).
tff(f2782,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| ~ spl496_30 ),
inference(avatar_component_clause,[],[f2780]) ).
tff(f2784,definition,
( spl496_31
<=> ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) ) ),
introduced(definition,[new_symbols(definition,[spl496_31])],[avatar_definition]) ).
tff(f2786,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| ~ spl496_31 ),
inference(avatar_component_clause,[],[f2784]) ).
tff(f2791,plain,
( ( vqsingle(sK465) = vqcond(vconstant(vB(vno)),sK303(vqsingle(sK465),sK466,sK462),sK304(vqsingle(sK465),sK466,sK462)) )
| ~ spl496_25 ),
inference(resolution,[],[f2762,f1555]) ).
tff(f2792,plain,
( $false
| ~ spl496_25 ),
inference(forward_subsumption_resolution,[],[f2791,f900]) ).
tff(f2793,plain,
~ spl496_25,
inference(avatar_contradiction_clause,[],[f2792]) ).
tff(f2811,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25 ),
inference(backward_subsumption_resolution,[],[f2709,f2761]) ).
tff(f2814,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP38(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25 ),
inference(backward_subsumption_resolution,[],[f2713,f2761]) ).
tff(f2818,plain,
( ( vqsingle(sK465) = vqcond(vconstant(vB(vyes)),sK299(vqsingle(sK465),sK466,sK462),sK300(vqsingle(sK465),sK466,sK462)) )
| ~ spl496_26 ),
inference(resolution,[],[f2766,f1551]) ).
tff(f2819,plain,
( $false
| ~ spl496_26 ),
inference(forward_subsumption_resolution,[],[f2818,f900]) ).
tff(f2820,plain,
~ spl496_26,
inference(avatar_contradiction_clause,[],[f2819]) ).
tff(f2826,plain,
( ( vqsingle(sK465) = vqseq(vqempty,sK296(vqsingle(sK465),sK466,sK462)) )
| ~ spl496_27 ),
inference(resolution,[],[f2770,f1547]) ).
tff(f2827,plain,
( $false
| ~ spl496_27 ),
inference(forward_subsumption_resolution,[],[f2826,f899]) ).
tff(f2828,plain,
~ spl496_27,
inference(avatar_contradiction_clause,[],[f2827]) ).
tff(f2842,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25
| spl496_27 ),
inference(forward_subsumption_resolution,[],[f2811,f2769]) ).
tff(f2845,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP37(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25
| spl496_27 ),
inference(forward_subsumption_resolution,[],[f2814,f2769]) ).
tff(f2857,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25
| spl496_26
| spl496_27 ),
inference(forward_subsumption_resolution,[],[f2842,f2765]) ).
tff(f2860,plain,
( ( vnoQConf = vreduce(vqsingle(sK465),sK466,sK462) )
| sP34(vqsingle(sK465),sK466,sK462)
| sP33(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25
| spl496_26
| spl496_27 ),
inference(forward_subsumption_resolution,[],[f2845,f2765]) ).
tff(f2869,plain,
( spl496_24
| spl496_29
| spl496_30
| spl496_31
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25
| spl496_26
| spl496_27 ),
inference(avatar_split_clause,[],[f2860,f2768,f2764,f2760,f2414,f2339,f2331,f2285,f2195,f2784,f2780,f2776,f2756]) ).
tff(f2907,plain,
( ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(vabind(sK320(vqsingle(sK465),sK466,sK462),vgetExpValue(sK321(vqsingle(sK465),sK466,sK462)),sK319(vqsingle(sK465),sK466,sK462)),sK317(vqsingle(sK465),sK466,sK462),vqempty)) )
| ~ spl496_29 ),
inference(resolution,[],[f2778,f1565]) ).
tff(f2912,plain,
( $false
| ~ spl496_8
| ~ spl496_29 ),
inference(forward_subsumption_resolution,[],[f2907,f2196]) ).
tff(f2913,plain,
( ~ spl496_8
| ~ spl496_29 ),
inference(avatar_contradiction_clause,[],[f2912]) ).
tff(f2925,plain,
( sP34(vqsingle(sK465),sK466,sK462)
| sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25
| spl496_26
| spl496_27
| spl496_29 ),
inference(backward_subsumption_resolution,[],[f2857,f2777]) ).
tff(f2959,plain,
( ( vreduce(vqsingle(sK465),sK466,sK462) = vsomeQConf(vQC(vabind(sK316(vqsingle(sK465),sK466,sK462),sK314(vqsingle(sK465),sK466,sK462),sK315(vqsingle(sK465),sK466,sK462)),sK311(vqsingle(sK465),sK466,sK462),vqempty)) )
| ~ spl496_30 ),
inference(resolution,[],[f2782,f1560]) ).
tff(f2964,plain,
( $false
| ~ spl496_8
| ~ spl496_30 ),
inference(forward_subsumption_resolution,[],[f2959,f2196]) ).
tff(f2965,plain,
( ~ spl496_8
| ~ spl496_30 ),
inference(avatar_contradiction_clause,[],[f2964]) ).
tff(f3081,plain,
( sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| sP35(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30 ),
inference(forward_subsumption_resolution,[],[f2925,f2781]) ).
tff(f3216,plain,
( ( vqsingle(sK465) = vqgroup(sK307(vqsingle(sK465),sK466,sK462),sK308(vqsingle(sK465),sK466,sK462)) )
| ~ spl496_24 ),
inference(resolution,[],[f2758,f1559]) ).
tff(f3217,plain,
( $false
| ~ spl496_24 ),
inference(forward_subsumption_resolution,[],[f3216,f901]) ).
tff(f3218,plain,
~ spl496_24,
inference(avatar_contradiction_clause,[],[f3217]) ).
tff(f3231,plain,
( sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| sP25(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_24
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30 ),
inference(backward_subsumption_resolution,[],[f3081,f2757]) ).
tff(f3249,definition,
( spl496_34
<=> sP25(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_34])],[avatar_definition]) ).
tff(f3250,plain,
( ~ sP25(vqsingle(sK465),sK466,sK462)
| spl496_34 ),
inference(avatar_component_clause,[],[f3249]) ).
tff(f3251,plain,
( sP25(vqsingle(sK465),sK466,sK462)
| ~ spl496_34 ),
inference(avatar_component_clause,[],[f3249]) ).
tff(f3253,definition,
( spl496_35
<=> sP27(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_35])],[avatar_definition]) ).
tff(f3254,plain,
( ~ sP27(vqsingle(sK465),sK466,sK462)
| spl496_35 ),
inference(avatar_component_clause,[],[f3253]) ).
tff(f3255,plain,
( sP27(vqsingle(sK465),sK466,sK462)
| ~ spl496_35 ),
inference(avatar_component_clause,[],[f3253]) ).
tff(f3257,definition,
( spl496_36
<=> sP31(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_36])],[avatar_definition]) ).
tff(f3258,plain,
( ~ sP31(vqsingle(sK465),sK466,sK462)
| spl496_36 ),
inference(avatar_component_clause,[],[f3257]) ).
tff(f3259,plain,
( sP31(vqsingle(sK465),sK466,sK462)
| ~ spl496_36 ),
inference(avatar_component_clause,[],[f3257]) ).
tff(f3261,definition,
( spl496_37
<=> sP29(vqsingle(sK465),sK466,sK462) ),
introduced(definition,[new_symbols(definition,[spl496_37])],[avatar_definition]) ).
tff(f3262,plain,
( ~ sP29(vqsingle(sK465),sK466,sK462)
| spl496_37 ),
inference(avatar_component_clause,[],[f3261]) ).
tff(f3263,plain,
( sP29(vqsingle(sK465),sK466,sK462)
| ~ spl496_37 ),
inference(avatar_component_clause,[],[f3261]) ).
tff(f3276,plain,
( ( vqsingle(sK465) = vqcond(sK361(vqsingle(sK465),sK466,sK462),sK360(vqsingle(sK465),sK466,sK462),sK363(vqsingle(sK465),sK466,sK462)) )
| ~ spl496_34 ),
inference(resolution,[],[f3251,f1621]) ).
tff(f3281,plain,
( $false
| ~ spl496_34 ),
inference(forward_subsumption_resolution,[],[f3276,f900]) ).
tff(f3282,plain,
~ spl496_34,
inference(avatar_contradiction_clause,[],[f3281]) ).
tff(f3290,plain,
( sP29(vqsingle(sK465),sK466,sK462)
| sP31(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_24
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30
| spl496_34 ),
inference(backward_subsumption_resolution,[],[f3231,f3250]) ).
tff(f3314,plain,
( ( vqsingle(sK465) = vqseq(sK348(vqsingle(sK465),sK466,sK462),sK350(vqsingle(sK465),sK466,sK462)) )
| ~ spl496_35 ),
inference(resolution,[],[f3255,f1606]) ).
tff(f3318,plain,
( $false
| ~ spl496_35 ),
inference(forward_subsumption_resolution,[],[f3314,f899]) ).
tff(f3319,plain,
~ spl496_35,
inference(avatar_contradiction_clause,[],[f3318]) ).
tff(f3373,plain,
( ( sK466 = sK339(vqsingle(sK465),sK466,sK462) )
| ~ spl496_37 ),
inference(resolution,[],[f3263,f1591]) ).
tff(f3379,definition,
( spl496_40
<=> ( sK466 = sK339(vqsingle(sK465),sK466,sK462) ) ),
introduced(definition,[new_symbols(definition,[spl496_40])],[avatar_definition]) ).
tff(f3381,plain,
( ( sK466 = sK339(vqsingle(sK465),sK466,sK462) )
| ~ spl496_40 ),
inference(avatar_component_clause,[],[f3379]) ).
tff(f3382,plain,
( spl496_40
| ~ spl496_37 ),
inference(avatar_split_clause,[],[f3373,f3261,f3379]) ).
tff(f3388,plain,
( sP31(vqsingle(sK465),sK466,sK462)
| sP27(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_24
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30
| spl496_34
| spl496_37 ),
inference(forward_subsumption_resolution,[],[f3290,f3262]) ).
tff(f3412,plain,
( sP27(vqsingle(sK465),sK466,sK462)
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_24
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30
| spl496_34
| spl496_36
| spl496_37 ),
inference(forward_subsumption_resolution,[],[f3388,f3258]) ).
tff(f3436,plain,
( $false
| ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_24
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30
| spl496_34
| spl496_35
| spl496_36
| spl496_37 ),
inference(forward_subsumption_resolution,[],[f3412,f3254]) ).
tff(f3437,plain,
( ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_24
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30
| spl496_34
| spl496_35
| spl496_36
| spl496_37 ),
inference(avatar_contradiction_clause,[],[f3436]) ).
tff(f3500,plain,
( ( vqsingle(sK465) = vqsingle(vask(sK326(vqsingle(sK465),sK466,sK462))) )
| ~ spl496_36 ),
inference(resolution,[],[f3259,f1579]) ).
tff(f3505,definition,
( spl496_41
<=> ( vqsingle(sK465) = vqsingle(vask(sK326(vqsingle(sK465),sK466,sK462))) ) ),
introduced(definition,[new_symbols(definition,[spl496_41])],[avatar_definition]) ).
tff(f3507,plain,
( ( vqsingle(sK465) = vqsingle(vask(sK326(vqsingle(sK465),sK466,sK462))) )
| ~ spl496_41 ),
inference(avatar_component_clause,[],[f3505]) ).
tff(f3508,plain,
( spl496_41
| ~ spl496_36 ),
inference(avatar_split_clause,[],[f3500,f3257,f3505]) ).
tff(f3509,plain,
( ( sK338(vqsingle(sK465),sK466,sK462) = vreduceExp(sK341(vqsingle(sK465),sK466,sK462),sK466) )
| ~ sP29(vqsingle(sK465),sK466,sK462)
| ~ spl496_40 ),
inference(superposition,[],[f1594,f3381]) ).
tff(f3530,plain,
( ( vqsingle(sK465) = vqsingle(vvalue(sK340(vqsingle(sK465),sK466,sK462),sK337(vqsingle(sK465),sK466,sK462),sK341(vqsingle(sK465),sK466,sK462))) )
| ~ spl496_37 ),
inference(resolution,[],[f3263,f1592]) ).
tff(f3536,definition,
( spl496_42
<=> ( vqsingle(sK465) = vqsingle(vvalue(sK340(vqsingle(sK465),sK466,sK462),sK337(vqsingle(sK465),sK466,sK462),sK341(vqsingle(sK465),sK466,sK462))) ) ),
introduced(definition,[new_symbols(definition,[spl496_42])],[avatar_definition]) ).
tff(f3538,plain,
( ( vqsingle(sK465) = vqsingle(vvalue(sK340(vqsingle(sK465),sK466,sK462),sK337(vqsingle(sK465),sK466,sK462),sK341(vqsingle(sK465),sK466,sK462))) )
| ~ spl496_42 ),
inference(avatar_component_clause,[],[f3536]) ).
tff(f3539,plain,
( spl496_42
| ~ spl496_37 ),
inference(avatar_split_clause,[],[f3530,f3261,f3536]) ).
tff(f3542,plain,
( ! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap] :
( ~ vptcheck(vMC(X0,X1),vqsingle(sK465),vMC(X2,X3))
| ( X1 = X3 ) )
| ~ spl496_41 ),
inference(superposition,[],[f1925,f3507]) ).
tff(f3650,plain,
( ( sK338(vqsingle(sK465),sK466,sK462) = vreduceExp(sK341(vqsingle(sK465),sK466,sK462),sK466) )
| ~ spl496_37
| ~ spl496_40 ),
inference(forward_subsumption_resolution,[],[f3509,f3263]) ).
tff(f3671,plain,
( ~ visSomeExp(sK338(vqsingle(sK465),sK466,sK462))
| ~ spl496_37 ),
inference(resolution,[],[f3263,f1593]) ).
tff(f3673,plain,
( ~ vexpIsValue(sK341(vqsingle(sK465),sK466,sK462))
| ~ spl496_37 ),
inference(resolution,[],[f3263,f1595]) ).
tff(f3677,definition,
( spl496_46
<=> ( sK338(vqsingle(sK465),sK466,sK462) = vreduceExp(sK341(vqsingle(sK465),sK466,sK462),sK466) ) ),
introduced(definition,[new_symbols(definition,[spl496_46])],[avatar_definition]) ).
tff(f3679,plain,
( ( sK338(vqsingle(sK465),sK466,sK462) = vreduceExp(sK341(vqsingle(sK465),sK466,sK462),sK466) )
| ~ spl496_46 ),
inference(avatar_component_clause,[],[f3677]) ).
tff(f3680,plain,
( spl496_46
| ~ spl496_37
| ~ spl496_40 ),
inference(avatar_split_clause,[],[f3650,f3379,f3261,f3677]) ).
tff(f3708,plain,
( ! [X2: vQMap,X0: vQID,X1: vAType] :
( visSomeExp(sK338(vqsingle(sK465),sK466,sK462))
| ( vnoQConf = vreduce(vqsingle(vvalue(X0,X1,sK341(vqsingle(sK465),sK466,sK462))),sK466,X2) )
| vexpIsValue(sK341(vqsingle(sK465),sK466,sK462)) )
| ~ spl496_46 ),
inference(superposition,[],[f1514,f3679]) ).
tff(f3775,definition,
( spl496_47
<=> ! [X0: vATMap,X3: vATMap,X2: vATMap,X1: vATMap] :
( ~ vptcheck(vMC(X0,X1),vqsingle(sK465),vMC(X2,X3))
| ( X1 = X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl496_47])],[avatar_definition]) ).
tff(f3776,plain,
( ! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap] :
( ~ vptcheck(vMC(X0,X1),vqsingle(sK465),vMC(X2,X3))
| ( X1 = X3 ) )
| ~ spl496_47 ),
inference(avatar_component_clause,[],[f3775]) ).
tff(f3777,plain,
( spl496_47
| ~ spl496_41 ),
inference(avatar_split_clause,[],[f3542,f3505,f3775]) ).
tff(f3786,plain,
( ( sK464 = vtypeQM(sK462) )
| ~ spl496_3
| ~ spl496_47 ),
inference(resolution,[],[f3776,f2117]) ).
tff(f3790,definition,
( spl496_48
<=> ( sK464 = vtypeQM(sK462) ) ),
introduced(definition,[new_symbols(definition,[spl496_48])],[avatar_definition]) ).
tff(f3792,plain,
( ( sK464 = vtypeQM(sK462) )
| ~ spl496_48 ),
inference(avatar_component_clause,[],[f3790]) ).
tff(f3793,plain,
( spl496_48
| ~ spl496_3
| ~ spl496_47 ),
inference(avatar_split_clause,[],[f3786,f3775,f2115,f3790]) ).
tff(f3796,plain,
( vptcheck(vMC(vtypeAM(sK466),sK464),vqsingle(sK465),vMC(sK463,sK464))
| ~ spl496_3
| ~ spl496_48 ),
inference(superposition,[],[f2117,f3792]) ).
tff(f4172,definition,
( spl496_54
<=> ! [X5: vATMap,X6: vATMap,X4: vExp,X0: vQMap,X3: vQID,X2: vAnsMap,X1: vAType] :
( ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) != vreduce(vqsingle(sK465),sK466,sK462) )
| visValue(vqsingle(vvalue(X3,X1,X4)))
| ~ vptcheck(vMC(vtypeAM(X2),vtypeQM(X0)),vqsingle(vvalue(X3,X1,X4)),vMC(X5,X6)) ) ),
introduced(definition,[new_symbols(definition,[spl496_54])],[avatar_definition]) ).
tff(f4173,plain,
( ! [X2: vAnsMap,X3: vQID,X0: vQMap,X1: vAType,X6: vATMap,X4: vExp,X5: vATMap] :
( ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) != vreduce(vqsingle(sK465),sK466,sK462) )
| visValue(vqsingle(vvalue(X3,X1,X4)))
| ~ vptcheck(vMC(vtypeAM(X2),vtypeQM(X0)),vqsingle(vvalue(X3,X1,X4)),vMC(X5,X6)) )
| ~ spl496_54 ),
inference(avatar_component_clause,[],[f4172]) ).
tff(f4174,plain,
( spl496_54
| ~ spl496_2 ),
inference(avatar_split_clause,[],[f2110,f2074,f4172]) ).
tff(f4175,plain,
( ! [X2: vAnsMap,X3: vQID,X0: vQMap,X1: vAType,X6: vATMap,X4: vExp,X5: vATMap] :
( ( vnoQConf != vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) )
| visValue(vqsingle(vvalue(X3,X1,X4)))
| ~ vptcheck(vMC(vtypeAM(X2),vtypeQM(X0)),vqsingle(vvalue(X3,X1,X4)),vMC(X5,X6)) )
| ~ spl496_31
| ~ spl496_54 ),
inference(forward_demodulation,[],[f4173,f2786]) ).
tff(f4181,definition,
( spl496_55
<=> vptcheck(vMC(vtypeAM(sK466),sK464),vqsingle(sK465),vMC(sK463,sK464)) ),
introduced(definition,[new_symbols(definition,[spl496_55])],[avatar_definition]) ).
tff(f4183,plain,
( vptcheck(vMC(vtypeAM(sK466),sK464),vqsingle(sK465),vMC(sK463,sK464))
| ~ spl496_55 ),
inference(avatar_component_clause,[],[f4181]) ).
tff(f4184,plain,
( spl496_55
| ~ spl496_3
| ~ spl496_48 ),
inference(avatar_split_clause,[],[f3796,f3790,f2115,f4181]) ).
tff(f4378,definition,
( spl496_61
<=> ! [X2: vQMap,X0: vQID,X1: vAType] : ( vnoQConf = vreduce(vqsingle(vvalue(X0,X1,sK341(vqsingle(sK465),sK466,sK462))),sK466,X2) ) ),
introduced(definition,[new_symbols(definition,[spl496_61])],[avatar_definition]) ).
tff(f4379,plain,
( ! [X2: vQMap,X0: vQID,X1: vAType] : ( vnoQConf = vreduce(vqsingle(vvalue(X0,X1,sK341(vqsingle(sK465),sK466,sK462))),sK466,X2) )
| ~ spl496_61 ),
inference(avatar_component_clause,[],[f4378]) ).
tff(f4382,plain,
( ! [X0: vQMap] : ( vnoQConf = vreduce(vqsingle(sK465),sK466,X0) )
| ~ spl496_42
| ~ spl496_61 ),
inference(superposition,[],[f4379,f3538]) ).
tff(f4417,definition,
( spl496_63
<=> ! [X5: vATMap,X6: vATMap,X4: vExp,X0: vQMap,X3: vQID,X2: vAnsMap,X1: vAType] :
( ( vnoQConf != vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) )
| visValue(vqsingle(vvalue(X3,X1,X4)))
| ~ vptcheck(vMC(vtypeAM(X2),vtypeQM(X0)),vqsingle(vvalue(X3,X1,X4)),vMC(X5,X6)) ) ),
introduced(definition,[new_symbols(definition,[spl496_63])],[avatar_definition]) ).
tff(f4418,plain,
( ! [X2: vAnsMap,X3: vQID,X0: vQMap,X1: vAType,X6: vATMap,X4: vExp,X5: vATMap] :
( ( vnoQConf != vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) )
| visValue(vqsingle(vvalue(X3,X1,X4)))
| ~ vptcheck(vMC(vtypeAM(X2),vtypeQM(X0)),vqsingle(vvalue(X3,X1,X4)),vMC(X5,X6)) )
| ~ spl496_63 ),
inference(avatar_component_clause,[],[f4417]) ).
tff(f4419,plain,
( spl496_63
| ~ spl496_31
| ~ spl496_54 ),
inference(avatar_split_clause,[],[f4175,f4172,f2784,f4417]) ).
tff(f4424,plain,
( ! [X2: vATMap,X3: vATMap,X0: vAnsMap,X1: vQMap] :
( ( vnoQConf != vreduce(vqsingle(sK465),X0,X1) )
| visValue(vqsingle(sK465))
| ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK465),vMC(X2,X3)) )
| ~ spl496_42
| ~ spl496_63 ),
inference(superposition,[],[f4418,f3538]) ).
tff(f4447,plain,
( ! [X2: vATMap,X3: vATMap,X0: vAnsMap,X1: vQMap] :
( ( vnoQConf != vreduce(vqsingle(sK465),X0,X1) )
| ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK465),vMC(X2,X3)) )
| spl496_1
| ~ spl496_42
| ~ spl496_63 ),
inference(forward_subsumption_resolution,[],[f4424,f2069]) ).
tff(f4698,definition,
( spl496_78
<=> ! [X0: vQMap] : ( vnoQConf = vreduce(vqsingle(sK465),sK466,X0) ) ),
introduced(definition,[new_symbols(definition,[spl496_78])],[avatar_definition]) ).
tff(f4699,plain,
( ! [X0: vQMap] : ( vnoQConf = vreduce(vqsingle(sK465),sK466,X0) )
| ~ spl496_78 ),
inference(avatar_component_clause,[],[f4698]) ).
tff(f4700,plain,
( spl496_78
| ~ spl496_42
| ~ spl496_61 ),
inference(avatar_split_clause,[],[f4382,f4378,f3536,f4698]) ).
tff(f5110,definition,
( spl496_86
<=> visSomeExp(sK338(vqsingle(sK465),sK466,sK462)) ),
introduced(definition,[new_symbols(definition,[spl496_86])],[avatar_definition]) ).
tff(f5112,plain,
( ~ visSomeExp(sK338(vqsingle(sK465),sK466,sK462))
| spl496_86 ),
inference(avatar_component_clause,[],[f5110]) ).
tff(f5113,plain,
( ~ spl496_86
| ~ spl496_37 ),
inference(avatar_split_clause,[],[f3671,f3261,f5110]) ).
tff(f5802,definition,
( spl496_101
<=> vexpIsValue(sK341(vqsingle(sK465),sK466,sK462)) ),
introduced(definition,[new_symbols(definition,[spl496_101])],[avatar_definition]) ).
tff(f5804,plain,
( ~ vexpIsValue(sK341(vqsingle(sK465),sK466,sK462))
| spl496_101 ),
inference(avatar_component_clause,[],[f5802]) ).
tff(f5805,plain,
( ~ spl496_101
| ~ spl496_37 ),
inference(avatar_split_clause,[],[f3673,f3261,f5802]) ).
tff(f5850,definition,
( spl496_103
<=> ! [X0: vAnsMap,X3: vATMap,X2: vATMap,X1: vQMap] :
( ( vnoQConf != vreduce(vqsingle(sK465),X0,X1) )
| ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK465),vMC(X2,X3)) ) ),
introduced(definition,[new_symbols(definition,[spl496_103])],[avatar_definition]) ).
tff(f5851,plain,
( ! [X2: vATMap,X3: vATMap,X0: vAnsMap,X1: vQMap] :
( ( vnoQConf != vreduce(vqsingle(sK465),X0,X1) )
| ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK465),vMC(X2,X3)) )
| ~ spl496_103 ),
inference(avatar_component_clause,[],[f5850]) ).
tff(f5852,plain,
( spl496_103
| spl496_1
| ~ spl496_42
| ~ spl496_63 ),
inference(avatar_split_clause,[],[f4447,f4417,f3536,f2067,f5850]) ).
tff(f5853,plain,
( ! [X0: vATMap,X1: vATMap] :
( ( vnoQConf != vnoQConf )
| ~ vptcheck(vMC(vtypeAM(sK466),vtypeQM(sK462)),vqsingle(sK465),vMC(X0,X1)) )
| ~ spl496_31
| ~ spl496_103 ),
inference(superposition,[],[f5851,f2786]) ).
tff(f5854,plain,
( ! [X2: vATMap,X0: vQMap,X1: vATMap] :
( ( vnoQConf != vnoQConf )
| ~ vptcheck(vMC(vtypeAM(sK466),vtypeQM(X0)),vqsingle(sK465),vMC(X1,X2)) )
| ~ spl496_78
| ~ spl496_103 ),
inference(superposition,[],[f5851,f4699]) ).
tff(f5871,plain,
( ! [X2: vATMap,X0: vQMap,X1: vATMap] : ~ vptcheck(vMC(vtypeAM(sK466),vtypeQM(X0)),vqsingle(sK465),vMC(X1,X2))
| ~ spl496_78
| ~ spl496_103 ),
inference(trivial_inequality_removal,[],[f5854]) ).
tff(f5872,plain,
( ! [X0: vATMap,X1: vATMap] : ~ vptcheck(vMC(vtypeAM(sK466),vtypeQM(sK462)),vqsingle(sK465),vMC(X0,X1))
| ~ spl496_31
| ~ spl496_103 ),
inference(trivial_inequality_removal,[],[f5853]) ).
tff(f5874,plain,
( $false
| ~ spl496_3
| ~ spl496_78
| ~ spl496_103 ),
inference(backward_subsumption_resolution,[],[f2117,f5871]) ).
tff(f5875,plain,
( ~ spl496_3
| ~ spl496_78
| ~ spl496_103 ),
inference(avatar_contradiction_clause,[],[f5874]) ).
tff(f6006,plain,
( ! [X0: vATMap,X1: vATMap] : ~ vptcheck(vMC(vtypeAM(sK466),sK464),vqsingle(sK465),vMC(X0,X1))
| ~ spl496_31
| ~ spl496_48
| ~ spl496_103 ),
inference(forward_demodulation,[],[f5872,f3792]) ).
tff(f6017,plain,
( ! [X2: vQMap,X0: vQID,X1: vAType] :
( ( vnoQConf = vreduce(vqsingle(vvalue(X0,X1,sK341(vqsingle(sK465),sK466,sK462))),sK466,X2) )
| vexpIsValue(sK341(vqsingle(sK465),sK466,sK462)) )
| ~ spl496_46
| spl496_86 ),
inference(forward_subsumption_resolution,[],[f3708,f5112]) ).
tff(f6146,plain,
( $false
| ~ spl496_31
| ~ spl496_48
| ~ spl496_55
| ~ spl496_103 ),
inference(backward_subsumption_resolution,[],[f4183,f6006]) ).
tff(f6147,plain,
( ~ spl496_31
| ~ spl496_48
| ~ spl496_55
| ~ spl496_103 ),
inference(avatar_contradiction_clause,[],[f6146]) ).
tff(f6148,plain,
( ! [X2: vQMap,X0: vQID,X1: vAType] : ( vnoQConf = vreduce(vqsingle(vvalue(X0,X1,sK341(vqsingle(sK465),sK466,sK462))),sK466,X2) )
| ~ spl496_46
| spl496_86
| spl496_101 ),
inference(forward_subsumption_resolution,[],[f6017,f5804]) ).
tff(f7100,plain,
( spl496_61
| ~ spl496_46
| spl496_86
| spl496_101 ),
inference(avatar_split_clause,[],[f6148,f5802,f5110,f3677,f4378]) ).
tff(f7910,definition,
( spl496_121
<=> ! [X4: vATMap,X0: vQMap,X3: vATMap,X2: vQID,X1: vAnsMap] :
( ( vreduce(vqsingle(sK465),sK466,sK462) != vreduce(vqsingle(vask(X2)),X1,X0) )
| visValue(vqsingle(vask(X2)))
| ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X0)),vqsingle(vask(X2)),vMC(X3,X4)) ) ),
introduced(definition,[new_symbols(definition,[spl496_121])],[avatar_definition]) ).
tff(f7911,plain,
( ! [X2: vQID,X3: vATMap,X0: vQMap,X1: vAnsMap,X4: vATMap] :
( ( vreduce(vqsingle(sK465),sK466,sK462) != vreduce(vqsingle(vask(X2)),X1,X0) )
| visValue(vqsingle(vask(X2)))
| ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X0)),vqsingle(vask(X2)),vMC(X3,X4)) )
| ~ spl496_121 ),
inference(avatar_component_clause,[],[f7910]) ).
tff(f7912,plain,
( spl496_121
| ~ spl496_2 ),
inference(avatar_split_clause,[],[f2112,f2074,f7910]) ).
tff(f7913,plain,
( ! [X2: vQID,X3: vATMap,X0: vQMap,X1: vAnsMap,X4: vATMap] :
( ( vnoQConf != vreduce(vqsingle(vask(X2)),X1,X0) )
| visValue(vqsingle(vask(X2)))
| ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X0)),vqsingle(vask(X2)),vMC(X3,X4)) )
| ~ spl496_31
| ~ spl496_121 ),
inference(forward_demodulation,[],[f7911,f2786]) ).
tff(f8016,definition,
( spl496_128
<=> ! [X4: vATMap,X0: vQMap,X3: vATMap,X2: vQID,X1: vAnsMap] :
( ( vnoQConf != vreduce(vqsingle(vask(X2)),X1,X0) )
| visValue(vqsingle(vask(X2)))
| ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X0)),vqsingle(vask(X2)),vMC(X3,X4)) ) ),
introduced(definition,[new_symbols(definition,[spl496_128])],[avatar_definition]) ).
tff(f8017,plain,
( ! [X2: vQID,X3: vATMap,X0: vQMap,X1: vAnsMap,X4: vATMap] :
( ( vnoQConf != vreduce(vqsingle(vask(X2)),X1,X0) )
| visValue(vqsingle(vask(X2)))
| ~ vptcheck(vMC(vtypeAM(X1),vtypeQM(X0)),vqsingle(vask(X2)),vMC(X3,X4)) )
| ~ spl496_128 ),
inference(avatar_component_clause,[],[f8016]) ).
tff(f8018,plain,
( spl496_128
| ~ spl496_31
| ~ spl496_121 ),
inference(avatar_split_clause,[],[f7913,f7910,f2784,f8016]) ).
tff(f8023,plain,
( ! [X2: vATMap,X3: vATMap,X0: vAnsMap,X1: vQMap] :
( ( vnoQConf != vreduce(vqsingle(sK465),X0,X1) )
| visValue(vqsingle(sK465))
| ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK465),vMC(X2,X3)) )
| ~ spl496_41
| ~ spl496_128 ),
inference(superposition,[],[f8017,f3507]) ).
tff(f8043,plain,
( ! [X2: vATMap,X3: vATMap,X0: vAnsMap,X1: vQMap] :
( ( vnoQConf != vreduce(vqsingle(sK465),X0,X1) )
| ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqsingle(sK465),vMC(X2,X3)) )
| spl496_1
| ~ spl496_41
| ~ spl496_128 ),
inference(forward_subsumption_resolution,[],[f8023,f2069]) ).
tff(f8129,plain,
( spl496_103
| spl496_1
| ~ spl496_41
| ~ spl496_128 ),
inference(avatar_split_clause,[],[f8043,f8016,f3505,f2067,f5850]) ).
cnf(s1,plain,
~ spl496_1,
inference(sat_conversion,[],[f2070]) ).
cnf(s2,plain,
spl496_2,
inference(sat_conversion,[],[f2076]) ).
cnf(s3,plain,
spl496_3,
inference(sat_conversion,[],[f2118]) ).
cnf(s8,plain,
( ~ spl496_2
| spl496_8 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s10,plain,
( ~ spl496_2
| spl496_10 ),
inference(sat_conversion,[],[f2287]) ).
cnf(s11,plain,
( ~ spl496_2
| spl496_11 ),
inference(sat_conversion,[],[f2291]) ).
cnf(s14,plain,
( ~ spl496_2
| spl496_14 ),
inference(sat_conversion,[],[f2333]) ).
cnf(s16,plain,
( ~ spl496_2
| spl496_16 ),
inference(sat_conversion,[],[f2341]) ).
cnf(s20,plain,
( ~ spl496_11
| ~ spl496_20 ),
inference(sat_conversion,[],[f2417]) ).
cnf(s25,plain,
~ spl496_25,
inference(sat_conversion,[],[f2793]) ).
cnf(s27,plain,
~ spl496_26,
inference(sat_conversion,[],[f2820]) ).
cnf(s29,plain,
~ spl496_27,
inference(sat_conversion,[],[f2828]) ).
cnf(s31,plain,
( ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_24
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30
| spl496_31 ),
inference(sat_conversion,[],[f2869]) ).
cnf(s33,plain,
( ~ spl496_8
| ~ spl496_29 ),
inference(sat_conversion,[],[f2913]) ).
cnf(s34,plain,
( ~ spl496_8
| ~ spl496_30 ),
inference(sat_conversion,[],[f2965]) ).
cnf(s36,plain,
~ spl496_24,
inference(sat_conversion,[],[f3218]) ).
cnf(s39,plain,
~ spl496_34,
inference(sat_conversion,[],[f3282]) ).
cnf(s40,plain,
~ spl496_35,
inference(sat_conversion,[],[f3319]) ).
cnf(s42,plain,
( ~ spl496_37
| spl496_40 ),
inference(sat_conversion,[],[f3382]) ).
cnf(s43,plain,
( ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_24
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30
| spl496_34
| spl496_35
| spl496_36
| spl496_37 ),
inference(sat_conversion,[],[f3437]) ).
cnf(s47,plain,
( ~ spl496_36
| spl496_41 ),
inference(sat_conversion,[],[f3508]) ).
cnf(s48,plain,
( ~ spl496_37
| spl496_42 ),
inference(sat_conversion,[],[f3539]) ).
cnf(s52,plain,
( ~ spl496_37
| ~ spl496_40
| spl496_46 ),
inference(sat_conversion,[],[f3680]) ).
cnf(s53,plain,
( ~ spl496_41
| spl496_47 ),
inference(sat_conversion,[],[f3777]) ).
cnf(s55,plain,
( ~ spl496_3
| ~ spl496_47
| spl496_48 ),
inference(sat_conversion,[],[f3793]) ).
cnf(s61,plain,
( ~ spl496_2
| spl496_54 ),
inference(sat_conversion,[],[f4174]) ).
cnf(s62,plain,
( ~ spl496_3
| ~ spl496_48
| spl496_55 ),
inference(sat_conversion,[],[f4184]) ).
cnf(s70,plain,
( ~ spl496_31
| ~ spl496_54
| spl496_63 ),
inference(sat_conversion,[],[f4419]) ).
cnf(s86,plain,
( ~ spl496_42
| ~ spl496_61
| spl496_78 ),
inference(sat_conversion,[],[f4700]) ).
cnf(s94,plain,
( ~ spl496_37
| ~ spl496_86 ),
inference(sat_conversion,[],[f5113]) ).
cnf(s109,plain,
( ~ spl496_37
| ~ spl496_101 ),
inference(sat_conversion,[],[f5805]) ).
cnf(s111,plain,
( spl496_1
| ~ spl496_42
| ~ spl496_63
| spl496_103 ),
inference(sat_conversion,[],[f5852]) ).
cnf(s112,plain,
( ~ spl496_3
| ~ spl496_78
| ~ spl496_103 ),
inference(sat_conversion,[],[f5875]) ).
cnf(s113,plain,
( ~ spl496_31
| ~ spl496_48
| ~ spl496_55
| ~ spl496_103 ),
inference(sat_conversion,[],[f6147]) ).
cnf(s118,plain,
( ~ spl496_46
| spl496_61
| spl496_86
| spl496_101 ),
inference(sat_conversion,[],[f7100]) ).
cnf(s132,plain,
( ~ spl496_2
| spl496_121 ),
inference(sat_conversion,[],[f7912]) ).
cnf(s138,plain,
( ~ spl496_31
| ~ spl496_121
| spl496_128 ),
inference(sat_conversion,[],[f8018]) ).
cnf(s142,plain,
( spl496_1
| ~ spl496_41
| spl496_103
| ~ spl496_128 ),
inference(sat_conversion,[],[f8129]) ).
cnf(s146,plain,
( ~ spl496_8
| ~ spl496_10
| ~ spl496_14
| ~ spl496_16
| spl496_20
| spl496_25
| spl496_26
| spl496_27
| spl496_29
| spl496_30
| spl496_31 ),
inference(rat,[],[s31,s36]) ).
cnf(s160,plain,
spl496_121,
inference(rat,[],[s132,s2]) ).
cnf(s164,plain,
spl496_54,
inference(rat,[],[s61,s2]) ).
cnf(s168,plain,
spl496_16,
inference(rat,[],[s16,s2]) ).
cnf(s170,plain,
spl496_14,
inference(rat,[],[s14,s2]) ).
cnf(s173,plain,
spl496_11,
inference(rat,[],[s11,s2]) ).
cnf(s174,plain,
spl496_10,
inference(rat,[],[s10,s2]) ).
cnf(s175,plain,
spl496_8,
inference(rat,[],[s8,s2]) ).
cnf(s182,plain,
~ spl496_20,
inference(rat,[],[s20,s173]) ).
cnf(s184,plain,
~ spl496_30,
inference(rat,[],[s34,s175]) ).
cnf(s185,plain,
~ spl496_29,
inference(rat,[],[s33,s175]) ).
cnf(s187,plain,
spl496_31,
inference(rat,[],[s146,s175,s184,s174,s29,s27,s25,s182,s168,s170,s185]) ).
cnf(s189,plain,
spl496_128,
inference(rat,[],[s138,s160,s187]) ).
cnf(s195,plain,
spl496_63,
inference(rat,[],[s70,s164,s187]) ).
cnf(s197,plain,
~ spl496_37,
inference(rat,[],[s86,s118,s112,s52,s111,s42,s48,s94,s109,s3,s195,s1]) ).
cnf(s198,plain,
spl496_36,
inference(rat,[],[s43,s185,s184,s40,s39,s175,s174,s29,s27,s25,s36,s182,s168,s170,s197]) ).
cnf(s201,plain,
spl496_41,
inference(rat,[],[s47,s198]) ).
cnf(s203,plain,
spl496_103,
inference(rat,[],[s142,s189,s1,s201]) ).
cnf(s207,plain,
spl496_47,
inference(rat,[],[s53,s201]) ).
cnf(s214,plain,
spl496_48,
inference(rat,[],[s55,s3,s207]) ).
cnf(s216,plain,
~ spl496_55,
inference(rat,[],[s113,s203,s187,s214]) ).
cnf(s218,plain,
$false,
inference(rat,[],[s62,s3,s216,s214]) ).
tff(f8130,plain,
$false,
inference(avatar_sat_refutation,[],[s218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COM266_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n004.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 22:03:32 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.29 Running first-order theorem proving
% 0.11/0.29 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
% 6.39/1.75 % (837175)Detected formulas, will run a generic FOF schedule.
% 6.39/1.75 % (837303)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=588418438:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.39/1.75 % (837299)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=1368361615:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.39/1.75 % (837301)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=1556008794:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.39/1.75 % (837305)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3051693241:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.39/1.75 % (837310)dis-21_1_sil=8000:lcm=predicate:random_seed=133038712: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)
% 6.39/1.75 % (837304)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=358090328:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.39/1.75 % (837304)Refutation not found, incomplete strategy
% 6.39/1.75 % (837304)------------------------------
% 6.39/1.75 % (837304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837304)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837304)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.75 % (837304)Time elapsed: 0.004 s
% 6.39/1.75 % (837304)Peak memory usage: 88 MB
% 6.39/1.75 % (837304)Instructions burned: 3 (million)
% 6.39/1.75 % (837308)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2642343807:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.39/1.75 % (837310)Instruction limit reached!
% 6.39/1.75 % (837310)------------------------------
% 6.39/1.75 % (837310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837310)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837310)Termination reason: Instruction limit
% 6.39/1.75 % (837310)Termination phase: Saturation
% 6.39/1.75 % (837310)Time elapsed: 0.071 s
% 6.39/1.75 % (837310)Peak memory usage: 90 MB
% 6.39/1.75 % (837310)Instructions burned: 129 (million)
% 6.39/1.75 % (837305)Instruction limit reached!
% 6.39/1.75 % (837305)------------------------------
% 6.39/1.75 % (837305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837305)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837305)Termination reason: Instruction limit
% 6.39/1.75 % (837305)Termination phase: Saturation
% 6.39/1.75 % (837305)Time elapsed: 0.074 s
% 6.39/1.75 % (837305)Peak memory usage: 89 MB
% 6.39/1.75 % (837305)Instructions burned: 120 (million)
% 6.39/1.75 % (837308)Instruction limit reached!
% 6.39/1.75 % (837308)------------------------------
% 6.39/1.75 % (837308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837308)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837308)Termination reason: Instruction limit
% 6.39/1.75 % (837308)Termination phase: Saturation
% 6.39/1.75 % (837308)Time elapsed: 0.089 s
% 6.39/1.75 % (837308)Peak memory usage: 90 MB
% 6.39/1.75 % (837308)Instructions burned: 140 (million)
% 6.39/1.75 % (837346)lrs+10_1_sil=8000:sp=occurrence:random_seed=897286868:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.39/1.75 % (837347)lrs+10_1_sil=32000:urr=on:br=off:random_seed=111694598:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.39/1.75 % (837348)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1701754183:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.39/1.75 % (837304)------------------------------
% 6.39/1.75 % (837304)------------------------------
% 6.39/1.75 % (837347)Instruction limit reached!
% 6.39/1.75 % (837347)------------------------------
% 6.39/1.75 % (837347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837347)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837347)Termination reason: Instruction limit
% 6.39/1.75 % (837347)Termination phase: Saturation
% 6.39/1.75 % (837347)Time elapsed: 0.085 s
% 6.39/1.75 % (837347)Peak memory usage: 90 MB
% 6.39/1.75 % (837347)Instructions burned: 158 (million)
% 6.39/1.75 % (837346)Instruction limit reached!
% 6.39/1.75 % (837346)------------------------------
% 6.39/1.75 % (837346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837346)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837346)Termination reason: Instruction limit
% 6.39/1.75 % (837346)Termination phase: Saturation
% 6.39/1.75 % (837346)Time elapsed: 0.172 s
% 6.39/1.75 % (837346)Peak memory usage: 91 MB
% 6.39/1.75 % (837346)Instructions burned: 286 (million)
% 6.39/1.75 % (837352)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=4266584209:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.39/1.75 % (837353)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1439656882:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.39/1.75 % (837348)Instruction limit reached!
% 6.39/1.75 % (837348)------------------------------
% 6.39/1.75 % (837348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837348)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837348)Termination reason: Instruction limit
% 6.39/1.75 % (837348)Termination phase: Saturation
% 6.39/1.75 % (837348)Time elapsed: 0.193 s
% 6.39/1.75 % (837348)Peak memory usage: 91 MB
% 6.39/1.75 % (837348)Instructions burned: 325 (million)
% 6.39/1.75 % (837354)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1738717893:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.39/1.75 % (837352)Instruction limit reached!
% 6.39/1.75 % (837352)------------------------------
% 6.39/1.75 % (837352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837352)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837352)Termination reason: Instruction limit
% 6.39/1.75 % (837352)Termination phase: Saturation
% 6.39/1.75 % (837352)Time elapsed: 0.157 s
% 6.39/1.75 % (837352)Peak memory usage: 91 MB
% 6.39/1.75 % (837352)Instructions burned: 248 (million)
% 6.39/1.75 % (837357)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3640045226:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.39/1.75 % (837353)Instruction limit reached!
% 6.39/1.75 % (837353)------------------------------
% 6.39/1.75 % (837353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837353)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837353)Termination reason: Instruction limit
% 6.39/1.75 % (837353)Termination phase: Saturation
% 6.39/1.75 % (837353)Time elapsed: 0.162 s
% 6.39/1.75 % (837353)Peak memory usage: 91 MB
% 6.39/1.75 % (837353)Instructions burned: 295 (million)
% 6.39/1.75 % (837357)Instruction limit reached!
% 6.39/1.75 % (837357)------------------------------
% 6.39/1.75 % (837357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837357)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837357)Termination reason: Instruction limit
% 6.39/1.75 % (837357)Termination phase: Saturation
% 6.39/1.75 % (837357)Time elapsed: 0.067 s
% 6.39/1.75 % (837357)Peak memory usage: 91 MB
% 6.39/1.75 % (837357)Instructions burned: 115 (million)
% 6.39/1.75 % (837359)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=696939433:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.39/1.75 % (837303)First to succeed.
% 6.39/1.75 % (837303)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-837175"
% 6.39/1.75 % (837361)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=429545458:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.39/1.75 % (837361)Refutation not found, incomplete strategy
% 6.39/1.75 % (837361)------------------------------
% 6.39/1.75 % (837361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837361)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837361)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.75 % (837361)Time elapsed: 0.009 s
% 6.39/1.75 % (837361)Peak memory usage: 89 MB
% 6.39/1.75 % (837361)Instructions burned: 16 (million)
% 6.39/1.75 % (837359)Instruction limit reached!
% 6.39/1.75 % (837359)------------------------------
% 6.39/1.75 % (837359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.75 % (837359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.75 % (837359)CaDiCaL version: 2.1.3
% 6.39/1.75 % (837359)Termination reason: Instruction limit
% 6.39/1.75 % (837359)Termination phase: Saturation
% 6.39/1.75 % (837359)Time elapsed: 0.064 s
% 6.39/1.75 % (837359)Peak memory usage: 89 MB
% 6.39/1.75 % (837359)Instructions burned: 128 (million)
% 6.39/1.75 % (837362)lrs+10_1_sil=8000:sp=occurrence:random_seed=2005019900:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.39/1.75 % (837303)Refutation found. Thanks to Tanya!
% 6.39/1.75 % SZS status Theorem for theBenchmark
% 6.39/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 7.83/1.94 % (837303)------------------------------
% 7.83/1.94 % (837303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.83/1.94 % (837303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.94 % (837303)CaDiCaL version: 2.1.3
% 7.83/1.94 % (837303)Termination reason: Refutation
% 7.83/1.94 % (837303)Time elapsed: 0.751 s
% 7.83/1.94 % (837303)Peak memory usage: 143 MB
% 7.83/1.94 % (837303)Instructions burned: 2275 (million)
% 7.83/1.94 % (837303)------------------------------
% 7.83/1.94 % (837303)------------------------------
% 7.83/1.94 % (837175)Success in time 1.019 s
% 7.83/1.94 % Vampire exiting
%------------------------------------------------------------------------------